1. What has left tons of “space junk” in orbit around the earth?

robots sent on space missions

years of space exploration

lack of recycling

missiles in outer space


2. Countries around the world have agreed to limit the time their space tools stay in orbit to 25 years. As explained in the passage, what problem does this solution address?

the increasing amount of space junk in orbit around the earth

space agencies exploring space

Chinese efforts to blow up a satellite

objects moving around the planet at very high speed


3. Trash has become a problem in outer space too.

What evidence from the text best supports this statement?

The Chinese tried to blow up one of its satellites with a missile in 2007.

In England, a metal harpoon is being tested that can be fired into space, gripping space trash and pulling it back into the earth’s atmosphere to burn up.

The Germans have been planning a space mission with robots to collect some space trash and bring it back to Earth.

According to BBC News, there are more than 22,000 pieces of junk in space around the earth.


4. Why have countries agreed to build space tools that must fall safely into the earth’s atmosphere?

so that the tools can remove pollution from the atmosphere after returning from space

so that the tools burn up in the atmosphere and don’t become space junk

so that the tools pollute the atmosphere instead of outer space

so that the tools can analyze the different gases that make up the atmosphere after returning from space


5. What was the passage mostly about?

different missions scientists are trying in space

the effects that tiny pieces of space junk could have on the earth

the problem of space junk and scientists’ attempts to solve this problem

the problem of trash on planet Earth


6. Read the following sentences: “In our opinion the problem is very challenging and it's quite urgent as well,'’ said Marco Castronuovo, an Italian Space Agency researcher who is working to solve the problem. One reason that it’s urgent is that countries are sending more and more objects into space. Many of these objects are tools that help people use their cell phones or computers.”

What does the word urgent most nearly mean?

easy to solve

unnecessary

needs immediate attention

minor


7. Choose the answer that best completes the sentence below.

Years of space exploration have left tons of “space junk,” _______ many scientists are trying to find a way to clean up outer space.

so

instead

because

similarly


8. What did the 2009 collision of a United States satellite and a Russian satellite cause?

(please use complete sentences)


9. What have the Germans done to help clean up space junk?

(use complete sentences)


10. Different countries have explored or are exploring different methods to clean up space junk. Explain why some methods may be more effective than others. Use evidence from the text to support your answer.


Don't Guess the answers i will give you the link to read the passage that goes along with the questions!

Answers

Answer 1
Maybe try searching it up cause I’m not exactly sure if my answers would be right
Answer 2

Answer:

1-B

2-A

3-D

4-B

5-C

6-C

7-A

8- The collision resulted in significant debris in low Earth orbit.

9-

10-

Step-by-step explanation:


Related Questions

Find the mean and the mean average height.

Answers

Answer:

a.) [tex]mean=200.3[/tex]

b.) [tex]210[/tex] [tex]cm[/tex]

Step-by-step explanation:

a.) We are given the heights and their frequency. We can make a new set:

198, 199, 199, 199, 200, 200, 201, 201, 201, 201, 201, 202, 202

Now find the mean. The mean is found by adding all the numbers in the set, then dividing the total by the number of terms in the set. Add:

[tex]198+199+199+199+200+200+201+201+201+201+201+202+202=2604[/tex]

Now count the terms. There are 13 terms. Divide the total by the number of terms:

[tex]\frac{2604}{13}= 200.3[/tex]

The mean is 200.3.

b.) Use random values like 200, 198 etc. and add them to the total of the last set, then divide by 14 instead of 13 (because there is a new player). Do this until you get a mean of 201 with the new height:

[tex]2604+210=2814\\\\\frac{2814}{14}= 201[/tex]

For the new mean to be 201 cm, the new player has a height of 210 cm.

Finito.

Final answer:

To estimate the mean height of students at your college or university with 93 percent confidence and a margin of error of 1 inch, you would need to measure approximately 333 male students.

Explanation:

To estimate the mean height of students at your college or university with 93 percent confidence and a margin of error of 1 inch, you need to use the formula for sample size.

The formula for sample size is:

N = ((Z * σ) / E)^2

Where N is the sample size, Z is the Z-score for the desired confidence level, σ is the standard deviation, and E is the margin of error.

In this case, the Z-score for 93 percent confidence is 1.8119 (found using a Z-table). The standard deviation is given as 2.5 inches. Substituting these values into the formula:

N = ((1.8119 * 2.5) / 1)^2

N = 18.2255^2

N ≈ 332.3782

Rounding up to the nearest whole number, you would need to measure approximately 333 male students to estimate the mean height with 93 percent confidence and a margin of error of 1 inch.

The perimeter of a rectangle is 68 cm. The length is 4 cm more than its
width. Find the length of the rectangle.

Answers

Answer:

21

Step-by-step explanation:

68 divided by 4 sides is 17 subtract 4 cm for width and add 4 cm for length to get 21 cm for length and 13 cm for width

Which of the following graphs represents a one-to-one function?

On a coordinate plane, a function has two curves connected to a straight line. The first curve has a maximum of (negative 6, 4) and a minimum of (negative 4.5, negative 1). The second curve has a maximum of (negative 3.5, 2) and a minimum of (negative 2.5, 0.5). The straight line has a positive slope and starts at (negative 2, 1) and goes through (1, 2).

On a coordinate plane, a circle intersects the x=axis at (negative 2, 0) and (2, 0) and intercepts the y-axis at (0, 4) and (0, negative 4).

On a coordinate plane, a v-shaped graph is facing up. The vertex is at (0,0) and the function goes through (negative 4, 4) and (4, 4).

A coordinate plane has 7 points. The points are (negative 4, 1), (negative 3, 4), (negative 1, 3), (1, negative 3), (3, negative 4), (4, negative 2), (5, 3).

Answers

Answer:

The correct answer is the third graph

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

A group of students forgot to add thiosulfate to one test tube> what will they observe?

Answers

Answer:

The solution will experience an instant colour change because thiosulphate which is meant to be used as a clocking or Redox reagent which would have to react with iodine is absent.

Step-by-step explanation:

Thiosulphate is a chemical reagent that is used in chemical reactions such as titrations.

Thiosulphate is used as in the chemical reaction called Iodometry. This is a reaction whereby Thiosulphate is used as reactant and it is titrated against iodine in order to obtain an endpoint.

If Thiosulphate is not added to the test tube, there would be a colour change that occurs instantly because Thiosulphate did not react with iodine.

Final answer:

Without thiosulfate in a chemical reaction, students might observe an unchecked reaction progression, an absent color change, or the non-formation of a precipitate, which could significantly alter the expected outcome of the experiment.

Explanation:

If a group of students forgot to add thiosulfate to one test tube during an experiment, they would likely observe changes in the reaction that the thiosulfate was intended to affect. Depending on the specific experiment, the absence of thiosulfate could result in a faster reaction rate, lack of a particular color change, or the non-formation of a precipitate if thiosulfate is used as a reagent to react with a specific analyte. In general, thiosulfate is often used as a titrant or a reducing agent in various chemical reactions.

For example, in a reaction where thiosulfate is used to quench iodine, forgetting to add it would result in a permanent dark/starch-iodine complex, indicating that the reaction has gone to completion without being stopped by the thiosulfate. In another example, in silver-based photographic processing, thiosulfate is used to remove excess silver halide from developed film or paper; without it, the remaining silver halide would cause the material to be overly dark or discolored.

In the context of the provided information, if thiosulfate were supposed to quench a reaction or produce a specific analytical result, its absence would alter the expected outcome, potentially leading to incorrect conclusions. Observations without thiosulfate could include an unchecked reaction progression or the non-formation of anticipated reaction products.

i neeed helpppp plz 50 points
Part A
Consider the following ratios and state that whether these ratios forms a proportion?
​Case1 - 20 friends to 15 strangers
Case 2 - ​ 4 friends to 3 strangers​
A
Yes
B
No

Part B
Find the ratio of the number of friends in Case 1 to the number of friends in Case 2.
​ Answer:

​Note: Type the answer as shown. Ex: (3:8)

Answers

Answer:

A. Yes

B. 5 : 1

Step-by-step explanation:

Case 1

Friends : strangers

20 : 15

4 : 3

Case 2

Friends : Strangers

4 : 3

Ratio of friends

Case 1 : Case 2

20 : 4

5 : 1

Help me plz plz plz :(
Here is a right angled triangle

Answers

Answer:

10

Step-by-step explanation:

cos60=0.5

cos60= 5/x hence x=5÷cos60(0.5)

=5÷0.5=10

The radius of a circle is 8.6 centimeters.

Enter the area of the circle, in square centimeters. Round your answer to the nearest hundredth and use 3.14 for pi.

______ square centimeters

Answers

Answer:

8.6 x 3.14 = 27.00cm (squared) I think. Double check that. But i think ( .00 ) is in the hundredths.

Final answer:

The area of a circle with a radius of 8.6 centimeters is approximately 232.23 square centimeters when calculated using 3.14 for Pi and rounding to the nearest hundredth.

Explanation:

The question is asking to find the area of a circle with a given radius. The formula to calculate the area of a circle is A = πr², where π is a constant (Pi, approximately 3.14) and r is the radius of the circle. To calculate the area with the given radius of 8.6 centimeters:

Insert the radius into the area formula: A = π × (8.6 cm)²

Perform the squaring of the radius: 8.6 cm × 8.6 cm = 73.96 cm²

Multiply the result by Pi (using 3.14 for π): A = 3.14 × 73.96 cm²

Calculate the product: A = 232.23 cm²

Round the result to the nearest hundredth: A ≈ 232.23 cm²

Therefore, the area of the circle is approximately 232.23 square centimeters.

How do we write 1/5 as a decimal?

Answers

Answer:

1/5 as a decimal is written as 0.2

Answer:

This makes you get 0.2So you have the fraction 15 . What the divided sign is, is basically just a division sign. So, to get the decimal, you do 1÷5 .

Step-by-step explanation:

So you have the fraction 15 . What the divided sign is, is basically just a division sign. So, to get the decimal, you do 1÷5 .

the third segment in the graph is not as step as the segment. what does this mean? ​

Answers

in geometry a line segment part of a line that is bounded by two distinct endpoints

Use the data to find the upper quartile value.

Movie Ticket Fees at a Local Theater
$10.25 $9.75
$8.75 $12.75
$11.00 $6.50


A.$10
B.$8.75
C.$11
D.$12.75

Answers

Answer:

The answer is C.

Step-by-step explanation:

Answer:

Upper Quartile- $11.00

Lower Quartile-$8.75

Step-by-step explanation:

I got them right

Find the height of a cone with a volume of 150 in^3 and a diameter of 20 in. Use 3.14 for π.

Answers

Volume = [tex]\frac{1}{3} \pi r^{2} h[/tex]

150 = [tex]\frac{1}{3}[/tex] x 3.14 x 10 x 10 x h

150 x 3 = 314 x h

h = 450/314

h = 1.43 inches

The requried height of the cone with a volume of 150 in² is given as 1.43 in.

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

here,
Volume of the cone = 1/3 πr²h

From the quesiton we have,
r = 20/2 = 10 in and volume = 150
150 = 1/3 × 3.14 × 10² × h
h = 1.433 in


Thus, the requried height of the cone with a volume of 150 in² is given as 1.43 in.

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ2

In the net of a cylinder, one dimension of the rectangle is the same as the circumference of each circular base. Is this true or false?

Answers

Answer:

True.

Step-by-step explanation:

When we look at a cylinder, it has be observed that it has 3 parts or 3 shapes to it.

These 3 parts or shapes are referred to as the net of a cylinder.

This 3 parts include

a. A circle at the top

b. A circle at the bottom.

c. A rectangle.

The circle at the bottom gives us the base of the cylinder while the rectangle is curved when forming the cylinder and it is due to this that we have the curved surface area of the cylinder.

It is important to know that there is a relationship between the length of one of the edges of the rectangle and the circumference of the base of the cylinder such that, the length of one of the edges of the rectangle is equal to or equivalent to the circumference of each circular base.

Find the measure of b

Answers

We know that the whole thing is 90 degrees, because of that little symbol.

So, b + 63 = 90
b = 90-63=27

Evaluate the expression 5^x- 3^x5 x −3 x 5, start superscript, x, end superscript, minus, 3, start superscript, x, end superscript for x=2x=2x, equals, 2.

Answers

Question:

Evaluate the expression 5^x - 3^x for x=2

Answer:

5^x - 3^x for x=2 is 16

Step-by-step explanation:

Given

5^x - 3^x

x=2

Required

Evaluate

When fazed with question like this all you need is to substitute the value of x (or any other variable{s} used) in the expression.

Recall that x = 2

So, you have to substitute 2 for x in 5^x - 3^x

This gives

[tex]5^2 - 3^2[/tex]

This can be further solved in 2 ways

1. Solve directly

[tex]5^2 - 3^2[/tex]

= [tex]25 - 9[/tex]

= 16

2. Expand using difference of two squares.

Difference of two squares is represented by

[tex]a^2 - b^2 = (a + b) (a - b)[/tex]

By comparison

[tex]5^2 - 3^2[/tex] becomes

[tex]5^2 - 3^2 = (5 + 3) (5 - 3)[/tex]

[tex]5^2 - 3^2 = (8) (2)[/tex]

[tex]5^2 - 3^2 = 8 * 2[/tex]

[tex]5^2 - 3^2 = 16[/tex]

For both ways, we'll arrive at the same answer.

Hence, 5^x - 3^x for x=2 is 16

Answer:

5^x - 3^x for x=2 is 16

Step-by-step explanation:

Kate had 70 brooms; Alisa had 20 more brooms than Kate. What was the ratio of Kate’s brooms to Alisa’s brooms?

Answers

Answer:

7:9

Step-by-step explanation:

it was 70:70+90 cuz it was 20 moe than kates broom and if u simpifly that it will be 7:9 and sorry if my grammers bad im also a student lol i hope this helps. :)

Final answer:

Given that Kate possessed 70 brooms and Alisa had 20 more brooms than her, Alisa possessed 90 brooms. The ratio of Kate's brooms to Alisa's brooms reduces to 7:9.

Explanation:

The question wants to find the ratio of brooms Kate has to the brooms Alisa has. Firstly, we know Kate has 70 brooms. The question also tells us that Alisa has 20 more brooms than Kate, which means Alisa has 70+20=90 brooms. To establish a ratio, we simply put Kate's brooms to Alisa's brooms which gives us 70:90. However, we always want to reduce the ratio to its simplest form. Both 70 and 90 are divisible by 10, so we divide each side by 10, getting 7:9. The ratio of Kate's brooms to Alisa's brooms is therefore 7:9.

Learn more about Ratios here:

https://brainly.com/question/32531170

#SPJ12

Dwayne buys ingredients to make a cake. He buys 112 pounds of flour, 12 ounces of coconut, and 114 pounds of sugar. What is the total weight of the ingredients Dwayne bought? Select all that apply. A. 56 ounces B. 3 pounds 8 ounces C. 13 3/ 4pounds D. 13 3/ 4ounces E. 3 1/2pounds

Answers

Answer:

The only correct options are A, B and E.

Step-by-step explanation:

He buys [tex]1\frac{1}{2}[/tex] pounds of flour, 12 ounces of coconut, and [tex]1\frac{1}{4}[/tex] pounds of sugar.

We will add these together, but before that, we convert the 12 ounces to pounds, so that all the units are the same:

1 ounce = 0.0625 pounds

12 ounces = 12 * 0.0625 = [tex]\frac{3}{4}[/tex] pounds

He buys  [tex]\frac{3}{4}[/tex] pounds of coconut.

Adding all of them together yields:

[tex]1\frac{1}{2}[/tex] + [tex]\frac{3}{4}[/tex] + [tex]1\frac{1}{4}[/tex] = [tex]3\frac{1}{2}[/tex] pounds

Let us also convert to ounces:

[tex]3\frac{1}{2}[/tex]  / 0.0625 = 56 ounces

Let us also convert 1/2 pound to ounces:

1/2 / 0.0625 = 8 ounces

Hence, the total weight of ingredients that Dwayne bought is [tex]3\frac{1}{2}[/tex] pounds or 56 ounces or 3 pounds 8 ounces

Hence, options A, B and E are correct.

Martha made 3 birthday cards, and she wants to make more. If she makes 5 cards an hour, how many cards will she have after 6 hours? REMEMBER TO ADD THE ORIGINAL 3 TO THE NUMBER SHE MAKES IN 6 HOURS. ANSWER WITHOUT UNITS.

Answers

Answer:

33

Step-by-step explanation:

just multiply 5*6 and add three to the result

Answer:

33

Step-by-step explanation:

Every hour she makes 5 cards, and she makes them for 6 hours so you need to multiply 6 with 5 to get 30, then add up the 3 she made earlier...33 :D

Coach Curran's team has won 5 times and lost 2 times. He hopes that his team can keep this same ratio of wins to losses.

If the team had 10 losses, how many wins would they need to keep the record? Complete the table.

Answers

Answer:

25

Step-by-step explanation:

10 is 5 times the amount of 2 and by multiply 5 by 5 you would get 25

Answer:25

Step-by-step explanation:

A regulation basketball hoop has a rim with an 18-inch diameter. What is the approximate length around the rim of a regulation basketball hoop?

Answers

Answer:

Step-by-step explanation:

The circumference of a regulation basketball hoop with an 18-inch diameter is approximately 56.52 inches.

The question asks for the approximate length around the rim of a regulation basketball hoop, which has an 18-inch diameter. To find the circumference (the length around the rim), we can use the formula:

Circumference =
pi imes diameter

Since the diameter of the rim is 18 inches, we can approximate
pi as 3.14 to calculate the circumference:

Circumference = 3.14 imes 18 inches = 56.52 inches

Thus, the approximate length around the rim of a regulation basketball hoop is about 56.52 inches.

Maria mows 2/3 of a lawn in 1/5 hour. How many similar-sized lawns can she mow in 1 hour?

Thank you!

Answers

Answer:

Step-by-step explanation:

In one hour = 2/3/1/5

= 10/3 lawn

Hope this helps you out!

What decimal part of 60 is 45?

Answers

Answer:

0.75

Step-by-step explanation:

45 is three-fourths of sixty

three fourths as a fraction is .75

hope this helps!!!

Answer:

0.75

Step-by-step explanation:

you divide 45 by 60 and you will get 0.75

The rectangle is 20 by 16 and the scale factor is 0.25. What are the dimensions of the reduced rectangle?

Answers

Answer:

5 by 4

Step-by-step explanation:

0.25 x 20 = 5

0.25 x 16 = 4

Answer:

5 y 4

Step-by-step explanation:

I had this qweston.

Which describes all of the values for which the graph is
positive and decreasing?
O all real values of x where x<-1
O all real values of x where x < 1
O all real values of x where 1 O all real values of x where x > 3

Answers

Answer: C

Step-by-step explanation:

I went w/ my trusty C and got it right on e2020

All real values of x where 1 < x < 3. Therefore, option C is the correct answer.

What is the graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

The positive regions of a function are those intervals where the function is above the x-axis.

It is where the y-values are positive (not zero).

Therefore, option C is the correct answer.

To learn more about the graph visit:

brainly.com/question/14375099.

#SPJ7

"Your question is incomplete, probably the complete question/missing part is:"

Which describes all of the values for which the graph is positive and decreasing?

A.all real values of x where x < −1

B.all real values of x where x < 1

C.all real values of x where 1 < x < 3

D.all real values of x where x > 3

A researcher wishes to​ estimate, with 99​% ​confidence, the population proportion of adults who think the president of their country can control the price of gasoline. Her estimate must be accurate within 3​% of the true proportion. ​a) No preliminary estimate is available. Find the minimum sample size needed. ​b) Find the minimum sample size​ needed, using a prior study that found that 26​% of the respondents said they think their president can control the price of gasoline. ​c) Compare the results from parts​ (a) and​ (b).

Answers

Answer:

a) [tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{2.58})^2}=1849[/tex]  

And rounded up we have that n=1849

b) [tex]n=\frac{0.26(1-0.26)}{(\frac{0.03}{2.58})^2}=1422.99[/tex]  

And rounded up we have that n=1423

c) For this case we can see that if we have a prior estimate the minimum sample size required for the margin of error desired would be less as we can see in part b we reduce the sample size compared to the part a

Step-by-step explanation:

Part a

The critical value for a confidence level of 99% is for this case [tex]z_{\alpha/2} =2.58[/tex]

The margin of error for the proportion interval is given by this formula:  

[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]    (a)  

And on this case we have that [tex]ME =\pm 0.03[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex]   (b)  

Since we don't know any estimate for the true proportion we can use [tex]\hat p =0.5[/tex] as a godd estimator. And replacing into equation (b) the values from part a we got:

[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{2.58})^2}=1849[/tex]  

And rounded up we have that n=1849

Part b

For this case we have a prior estimate [tex]\hat p =0.26[/tex] and replacing we got:

[tex]n=\frac{0.26(1-0.26)}{(\frac{0.03}{2.58})^2}=1422.99[/tex]  

And rounded up we have that n=1423

Part c

For this case we can see that if we have a prior estimate the minimum sample size required for the margin of error desired would be less as we can see in part b we reduce the sample size compared to the part a

A gaming system is originally priced at $365. It is now on sale for 20% off. What is the price of the system with the discount?

Answers

$365 x 0.20 = $73 —this means the discount was $73. Now take the original price of $365 and subtract $73 —So the discount price and correct answer is $292.

Original price = $365

Price with 20% off = 80% of original price

                              = 365 x [tex]\frac{80}{100}[/tex]

                              = 365 x [tex]\frac{4}{5}[/tex]

                              = 73 x 4

                              = $292

Therefore, the price of the system with the discount is $292.

Which situation can be modeled by the inequality 3+7<13?

Answers

Final answer:

The inequality 3+7<13 represents a situation where the sum of three units and seven units is less than thirteen units. While this does not hold true in a strict mathematical sense, it illustrates the notion of inequality.

Explanation:

The inequality 3+7<13 represents a situation where the sum of three units and seven units is less than thirteen units. The numbers could represent any sorts of units, depending on the real-world situation.

For instance, let's consider an example where each unit represents one apple. According to this inequality, if you have three apples and you add seven more apples, the total number of apples you have would be less than thirteen. As you can see, this does not make sense, because 3+7 equals 10, which is not less than 13. Thus, the inequality 3+7<13 does not hold true in this situation.

This example illustrates that the given inequality does not hold true in a mathematical sense because 3 + 7 equals 10, which is not less than 13. However, in a situation where there is a numerical error or logical inconsistency, this inequality could potentially be used.

Learn more about Inequality here:

https://brainly.com/question/32625151

#SPJ3

What the answer to this

Answers

Answer:

(4, -15) is the vertex, a

Step-by-step explanation:

y=x^2-8x+1

-b/2a=x

y = ax^2 + bx + c

a=1 b=-8 c=1

x=8/2(1)

x=8/2

4 is the x of the vertex

y=4^2-8(4)+1

y=16-32+1

y=-15

(4, -15)

Hope this helps! Please mark brainliest :)

Answer: A (4,-15)

Step-by-step explanation:

Two similar pyramids have base areas of 122 cm? and 16 cm? The surface area of the larger pyramid is 56 cm
What is the surface area of the smaller pyramid?
40.1 cm
42.7 cm
522 cm
59.8 cm

Answers

Answer:

42.7 cm sq.

Step-by-step explanation:

small/large = 16 / 122

16/122 = S / 56

S = 56 * (16/122) = 7.34...

however not in the choice

ah ha..

You meant :    12.2 sq. cm :  16 sq. cm  = small / large

so   12.2 / 16 = S / 56 cm

S = 42.7 sq. cm

The surface area of the smaller pyramid is approximately 42.7 cm. Answer: B) 42.7 cm

What is Area?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

If two pyramids are similar, their corresponding linear dimensions (height, slant height, etc.) are in the same ratio as their corresponding base dimensions.

Let the height of the larger pyramid be h, and let the height of the smaller pyramid be x, h, where x is the scaling factor.

The ratio of their base areas is given by:

(xh)² : h² = 16 : 122

Simplifying this equation, we get:

x²h² = 16/122 * h²

x² = 16/122

x = √(16/122)

Now we know that the linear dimensions of the smaller pyramid are

1/√(122/16) = √(16/122) times that of the larger pyramid.

So, the surface area of the smaller pyramid is:

(16/122) * (56 / (√(16/122))²) = 42.7 cm (rounded to one decimal place)

Therefore, the surface area of the smaller pyramid is approximately 42.7 cm. Answer: B) 42.7 cm

Learn more about Area here:

https://brainly.com/question/27683633

#SPJ7

The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, where x
represents the smaller integer. Which equation can be factored and solved for the smaller integer?
x2 + x - 72 = 0
O2 + x + 72 = 0
x2 + 2x - 72 = 0
2 + 2x + 72 = 0

Answers

Answer:

x^2+x-72=0

Step-by-step explanation:

Hope this helps!

Answer:

x^2+x-72=0

Step-by-step explanation:

Phan earned gross wages of $487.12. Phan's deductions were: $49 in federal withholding taxes, 6.2% in social security taxes, 1.45% in Medicare taxes, $28.74 in health insurance, and $12 in union dues. Find Phan's net pay.

Answers

Answer:

$360.12

Step-by-step explanation:

Phan's net pay would be equal to the gross wage he receives minus the deductions:

Gross wage= $487.12

Federal withholding taxes= $49

Social security taxes= $487.12*6.2%= $30.2

Medicare taxes= $487.12*1.45%= $7.06

Health insurance= $28.74

Union dues= $12

Net pay= $487.12-$49-$30.2-$7.06-$28.74-$12

Net pay= $360.12

According to this, Phan's net pay is $360.12.

Phan's net pay is calculated by subtracting the sum of Social Security tax, Medicare tax, federal withholding, health insurance, and union dues from his gross wages. After performing the calculations, Phan's net pay is $360.12.

To calculate Phan's net pay, we first need to determine the amount of each deduction from his gross wages. We will follow these steps:

Calculate the Social Security tax: 6.2% of $487.12.Calculate the Medicare tax: 1.45% of $487.12.Add the fixed deductions: federal withholding taxes, health insurance, and union dues.Subtract the total of all deductions from the gross wages to find the net pay.

Now let's do the math:

Social Security tax = 6.2% of $487.12 = $30.20Medicare tax = 1.45% of $487.12 = $7.06Total fixed deductions = $49 (federal withholding) + $28.74 (health insurance) + $12 (union dues) = $89.74Adding up all the deductions: $30.20 (Social Security) + $7.06 (Medicare) + $89.74 (fixed deductions) = $127.

To calculate the net pay:

Gross wages = $487.12

Total deductions = $127.00

Net pay = Gross wages - Total deductions

Net pay = $487.12 - $127.00 = $360.12

Therefore, Phan's net pay is $360.12.

Other Questions
An 80-eV electron impinges upon a potential barrier 100 eV high and 0.20 nm thick. What is the probability the electron will tunnel through the barrier? (1 eV = 1.60 10-19 J, m proton = 1.67 10-27 kg, = 1.055 10-34 J s, h = 6.626 10-34 J s) a. 7.7 10-10 % b. 0.11% c. 1.1% d. 0.011% e. 1.1 10-4 % The U.S. government tries to improve the country's economic growth by:A. creating a command economy.B. setting its unemployment rate.C. increasing inflation levels.D. changing income tax rates. Inhibitors of the electron transport chain exert their effects through a variety of mechanisms. _______ blocks electron transport and proton pumping via inhibition of Complex IV. ________blocks electron transport and proton pumping via inhibition of Complex I. ________blocks electron transport and ATP synthesis by inhibiting the exchange of ATP and ADP across the inner mitochondrial membrane. ________blocks ATP synthesis without inhibiting electron transport by dissipating the proton gradient What new form of music swept the nation in the 1950s?O A.Chamber musicO B.Hip-hopO C.JazzO D.Rock-and-roll Joslyn Company manufactures metal brackets. The estimated number of metal bracket sales for the first three months of the current year is: Month Unit Sales January 1,250 February 1,400 March 1,200 Finished goods inventory at the end of last December was 300 units. Desired ending finished goods inventory is equal to 20 percent of the next month's sales. Joslyn Company expects to sell the brackets for $20 each. How many brackets should Joslyn produce in February? the dimension of a rectangle piece of paper are 8.5 and 11 inches.veronicafolded the piece of paper along its diagonal.which measurement is closest to the lenght of the diagonal is inches? Keegan wrote the following claim about the game Rock-Paper-Scissors.CLAIM: Players of the seemingly random game Rock-Paper-Scissors can continually win rounds of the game by being aware of patterns of choices and paying close attention to opponents choices.Which of the following sentences should Keegan use as a reason to explain why her claim is true?A.The patterns only come out when the game is played in several rounds, not just one time.B.It may seem that the outcome of the game is random and therefore impossible to predict.C.The winning-hand gesture of the previous round strongly influences players choice of hand gesture in the next round.D.According to a study, players who lose a round of the game will likely switch, in the next round, to the hand gesture that comes next in the games name. Which is NOT a root of the Scientific Revolution?A. Learnings from Renaissance scholarsB. the BibleC. voyages of explorersD. Idea of "rationalism" To find the surface area of the figure shown, Mia found the surface area of the two triangular prisms and the rectangular prism. From this, Mia subtracted 6 ft2. Did Mia make an error?Mia should have subtracted 16 square feet.Mia needs to subtract another 6 square feet.Mia must calculate each triangle separately.There is no errorMia is correct. HELP PLEASE VERY QUICK, I'LL MARK AS BRAINLIEST! a sound wave is traveling at 3,810 m/s and has a wave length of 8 m. what is the frequency of the wave? Think about what you saw in the video.Based on what you have seen and heard, select the responses below that correctly describe acharacteristic of the marchSelect all that apply. How did the Supreme Court reinterpret civil liberties in Gideon v. WainwrightA. It prevented schools from leading students in any kind of prayerB. It expanded citizens' right to privacy, even in public placesC. It created distinctions between pure speech and symbolic speechD. It established that states must provide people accused of crimeswith access to an attorney. If a light bulb is missing or broken in a parallel circuit, will the other light bulb right ? A student uses a bar magnet to pick up a nail. He then touches the tip of the nail to some staples. Why do some of the staples stick to the nail? The nail and the bar magnet are now both permanent magnets. The nail has become a temporary magnet, while the bar magnet remains a permanent magnet. The nail has become a permanent magnet, while the bar magnet has become a temporary magnet. The nail and the bar magnet are now both temporary magnets.the answer is the nail has become a temporary magnet I need to know this plz and thank u The screen shows Roberto's video game card activity. A negative number representsmoney spent on games. A positive number represents money added to the card.Card ActivityGames-$2Deposits$8- 4 - 20246-10-8-6S10) How much money does Roberto haveon his card? Create a view named Top10PaidInvoices that returns three columns for each vendor: VendorName, LastInvoice (the most recent invoice date), and SumOfInvoices (the sum of the InvoiceTotal column). Return only the 10 vendors with the largest SumOfInvoices and include only paid invoices. What is the mean of the normal distribution shown below?-3 -2 -1012300.00 plz help will mark brainlest Steam Workshop Downloader