the volume of the figure below is 496.21 ft^3
True or False

QUESTION 5

The given equation is:

[tex] \frac{5}{a + 3} = \frac{3}{a - 2} [/tex]

Cross multiply;

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

Expand:

5a-10=3a+9

Group similar terms:

5a-3a=9+10

2a=19

Divide both sides by 2

[tex]a = \frac{19}{2} [/tex]

[tex]a = 9\frac{1}{2} [/tex]

The correct answer is C.

QUESTION 7

The given equation is:

[tex] \frac{3}{y - 2}= 8[/tex]

There is an invisible 1 in the denominator on the RHS.

[tex] \frac{3}{y - 2}= \frac{8}{1} [/tex]

Cross multiply:

[tex] 3\times 1 = 8(y - 2)[/tex]

Expand:

[tex]3= 8y - 16[/tex]

Group similar terms,

[tex]3 + 16 = 8y[/tex]

[tex]19 = 8y[/tex]

Divide both sides by 8.

[tex]y = \frac{19}{8} [/tex]

[tex]y = 2 \frac{3}{8} [/tex]

The correct answer is C.

QUESTION 8

The given fraction is:

[tex] \frac{ {w}^{2} + 5w + 6}{ {w}^{2} - w - 12 } [/tex]

Factor both the numerator and the denominator to obtain:

[tex] \frac{(w + 3)(w + 2)}{(w + 3)(w - 4)} [/tex]

Cancel the common factors;

[tex]\frac{w + 2}{w - 4} [/tex]

The correct answer is B.

QUESTION 9

The given expression is;

[tex] \frac{3m}{m - 6} \times \frac{5 {m}^{3} - 30 {m}^{2} }{5 {m}^{2} } [/tex]

Factor the numerator of the second fraction.

[tex]\frac{3m}{m - 6} \times \frac{5 {m}^{2}(m - 6)}{5 {m}^{2} }[/tex]

Cancel the common factors,

[tex] \frac{3m}{1} [/tex]

[tex] = 3m[/tex]

The correct answer is D.

QUESTION 10

The given expression is:

[tex] \frac{7x + 21}{ {x}^{2} + 5x + 6} \div \frac{x + 6}{x + 2} [/tex]

Multiply by the reciprocal of the second fraction.

[tex]\frac{7x + 21}{ {x}^{2} + 5x + 6} \times \frac{x + 2}{x + 6} [/tex]

Factor the first fraction to get:

[tex]\frac{7(x + 3)}{ (x + 2)(x + 3)} \times \frac{x + 2}{x + 6} [/tex]

Cancel the common factors:

[tex] \frac{7}{x + 6} [/tex]

The correct answer is A.

Answer:

  c(3) is the largest

Step-by-step explanation:

For positive values of x, j(x) > a(x), so the comparison is between c(x) and j(x).

Without evaluating the functions, you can subtract 5x from them to get ...

  c'(x) = c(x) -5x = 3x² +22

  j'(x) = j(x) -5x = 7x

Now the question is whether c'(3) is larger than j'(3). The latter is ...

  j'(3) = 7·3 = 21

Since c'(3) has an added constant of 22 and x² will be positive, we know that ...

  c(3) > j(3) > a(3)

The function with the largest value at x=3 is c(x).

_____

You can, of course, simply evaluate the functions:

  c(3) > j(3) > a(3) . . . . . . . c(3) is the largest

Answer:

It’s D

Step-by-step explanation:

a(x)

Answer:

you must solve the question.

Step-by-step explanation:

it would be when we're solving a formula for himself a variable we must solve it.

Answer:

isolate

Step-by-step explanation:

Answer:

60 meters

Step-by-step explanation:

The standard form for parabolic motion is

[tex]h(x)=-5x^2+v_{0}x+h_{0}[/tex]

where [tex]v_{0}[/tex] is the initial upwards velocity and [tex]h_{0}[/tex] is the initial launching height.  If I am understanding your question, this is what you are looking for.  So the height AT the time of launch was 60 meters.

Answer:

The height of the object at the time of the launch is [tex]60m[/tex]

Step-by-step explanation:

We know that the height in meters, x seconds after the launch is modeled by the following function :

[tex]h(x)=-5x^{2}+20x+60[/tex]

For example, after [tex]x=3s[/tex] from the launch the height of the object is :

[tex]h(3s)=-5.(3^{2})+20.(3)+60=75[/tex]

[tex]h(3s)=75m[/tex]

If we want to know the height of the object at the time of the launch we will need to find the height of the object at [tex]x=0s[/tex] because that is the instant where the object is launched.

If we use [tex]x=0s[/tex] in [tex]h(x)[/tex] ⇒

[tex]h(0s)=-5.(0^{2})+20.(0)+60=60[/tex]

We find that the height of the object at the time of launch is [tex]60m[/tex]

Find the area of the square, which has a side length of 2.

Area of square = 2 x 2 = 4  

Now multiply the area by the length b

Volume = 4 x 5 = 20 square units total.

Answer is y = 3sin2(x - pi/4).

C. bc chickens have two legs each making it 12 chickens times 2 legs equal 24 plus the remaining 25 animals (pigs) would be 25x4=100+24 chicken legs = 124

For this case we have that the pigs have 4 legs while the hens have 2.

We propose a system of equations:

x: Variable representing the number of pigs

y: Variable representing the number of chickens

[tex]x + y = 37\\4x + 2y = 124[/tex]

We multiply by -4 the first equation:

[tex]-4x-4y = -148[/tex]

We add the equations:

[tex]-4x-4y = -148\\4x + 2y = 124\\-4y + 2y = -148 + 124\\-2y = -24\\y = \frac {24} {2}\\y = 12[/tex]

So, there are 12 chickens.

[tex]x + 12 = 37\\x = 37-12\\x = 25[/tex]

There are 25 pigs.

ANswer:

25 pigs

12 chickens

Option C

Answer:

D) No, corresponding angles are not congruent and corresponding sides are not proportional.

;]

Step-by-step explanation:

Answer:

the answer is D i just answered it with D and its correct

good luck on your assignment :)

Step-by-step explanation:

Answer:

80 mph

Step-by-step explanation:

Since Natasha is driving at a rate of 4 miles every 3 minutes, we are asked to find her speed in mph. Since there are 60 minutes in an hour, we can make a proportion: 4/3 = x/60. Solving for x, we get x to be 80. So Natasha is driving at 80 miles an hour.

Answer:

80 miles per hour

Step-by-step explanation:

60 / 3 = 20

4 x 20 = 80

There’s twenty over nine pounds

Answer:

2.22..

Step-by-step explanation:

First you divide four by nine to get 0.44..

then you multiply that by five to get your answer which is 2.22.. , Two Point Two repeating, 20/9, 2 2/9 or Two and Two Ninths.

Answer:

The answer is D.

Step-by-step explanation:

Each Monday, Luke spends $5 ($3 for the muffin, $2 for the juice). To figure out how much he spends in 6 weeks, you multiply $5 by 6. Hope this helps! :)

Answer:

[tex]f^{-1}(x)=\frac{x}{2}-\frac{1}{2}[/tex]

Step-by-step explanation:

It is called an inverse or reciprocal function of [tex]f[/tex] to another function [tex]f^{-1}[/tex] that fulfills that:

If [tex]f(a)=b[/tex], then [tex]f^{-1} (b)=a[/tex]

To calculate the inverse of the function [tex]y=2x+1[/tex]

[tex]f(x)=y[/tex]

So, rewritting the function

[tex]f(x)=2x+1[/tex]

Changing the x for y

[tex]x=2y+1[/tex]

Let's clear y

[tex]y=\frac{x-1}{2}[/tex]

Ordering the function above

[tex]y=\frac{x}{2}-\frac{1}{2}[/tex]

So, the inverse of the function [tex]f(x)=2x+1[/tex] is:

[tex]f^{-1}(x)=\frac{x}{2}-\frac{1}{2}[/tex]

.

Answer:

Option C. [tex]452.16\ cm^{2}[/tex]

Step-by-step explanation:

step 1

Find the circumference

The circumference of a circle is equal to

[tex]C=2\pi r[/tex]

we have

[tex]r=3\ cm[/tex]

[tex]\pi=3.14[/tex]

substitute

[tex]C=2(3.14)(3)=18.84\ cm[/tex]

step 2

Find the area of the rectangle made by the circumference and height of the cylinder

The area of the rectangle is equal to

[tex]A=C*h[/tex]

substitute the values

[tex]A=(18.84)(24)=452.16\ cm^{2}[/tex]

Answer:

C

Step-by-step explanation:

1. First two pictures below.

2.Both of them have large clusters that are a couple spaces away. The range is greater with June 2013.  

3. Second two pictures below. The third pic is June 1985 and fourth is June 2013.

4. The spread is smaller for June 1985. The boxes are seem to have the same proximity to each other which shows a tight center between the two box plots.

May be to late, but I'll post my answers to your questions anyway :)

Final answer:

Without specific temperature data, we cannot create the comparative dot plots and box plots requested by the student. Instructions have been provided on how to create and analyze them once the data is available.

Explanation:

To answer the student's question about comparing the high temperatures for Dallas, Texas in June 1985 and June 2013 using comparative dot plots and comparative box plots, we first need the individual temperature data for each June to create these graphs. Unfortunately, without the specific data, we are unable to create the plots.

However, we can discuss how to approach this problem. To create a comparative dot plot, you would list the temperatures for each data set on a horizontal line, each set represented by dots. Then, assess the degree of overlap by visually inspecting where the dots from both data sets lie in relation to each other. Compare their shapes, centers, and spreads by observing the clustering of the dots, the location of the “middle” of the dots, and how far the dots extend out from the center.

For the comparative box plot, you would draw two box plots on the same axis. A box plot displays the minimum, first quartile, median (or second quartile), third quartile, and maximum. Assess the degree of overlap by comparing where the boxes and whiskers of the plots are positioned in relation to each other, again paying attention to the centers (medians), spreads (interquartile ranges), as well as the overall range of data. Both types of plots can help ascertain whether the high temperature in June of each year was significantly different from the other, and how each year's temperatures compare to the historical average.

Answer:

B.  16 hrs

Step-by-step explanation:

Distance = rate × time

The best way to do this is to make a table with the info.  We are concerned with the trip There and the Return trip.  Set it up accordingly:

                    d     =     r     ×     t

There    

Return

The train made a trip from A to B and then back to A again, so the distances are both the same.  We don't know what the distance is, but it doesn't matter.  Just go with it for now.  It'll be important later.

               d     =     r     ×     t

There      d    

Return     d

We are also told the rates.  There is 70 km/hr and return is 80 km/hr

               d     =     r     ×     t

There      d     =    70

Return     d     =    80

All that's left is the time column now.  We don't know how long it took to get there or back, but if it took 2 hours longer to get There than on the Return, the Return trip took t and the There trip took t + 2:

                      d     =     r     ×     t

There             d     =    70   ×    t+2

Return            d     =    80   ×     t

The distances, remember, are the same for both trips, so that means that by the transitive property of equality, their equations can be set equal to each other:

70(t + 2) = 80t

70t + 140 = 80t

140 = 10t

14 = t

That t represents the Return trip's time.  Add 2 hours to it since the There trip's time is t+2.  So 14 + 2 = 16.  

B.  16 hours

The number is 3.

3x3 is 9, which is 3 less than 12.

Answer:

The number is 5.

Step-by-step explanation:

12 plus 3 is 15.

5 x 3 = 15

15 - 3 = 12

3 less than 3 times a number is 12.

It sounds like 3 less from a number IS 12. So adding 3 to 12 will get 15, and 15 divided by 3 equals 5.

I hope this is correct and that it helps! :)

Answer:

Step-by-step explanation:

Apply the Pythagorean Theorem:   hyp² = 7² + (-4)² = 49 + 16 = 65.

The magnitude of this vector <7, -4> is 8.1, to the nearest tenth.

Answer:

x = 12.5

Step-by-step explanation:

The given triangle is a right angle triangle.

We cannot use the Pythagoras theorem as the lengths of all sides are not known. We will use triangular ratios here to solve the given problem.  

As it is clear from the diagram that x is the hypotenuse of the triangle and 11 is the length of the base. We will use a ratio in which base and hypotenuse are used.

So,

cos ⁡θ= base/hypotenuse

cos⁡ 28=11/x

x=11/cos⁡28  

x=11/0.8829

x=12.45

Rounding off to nearest 10

x=12.5

The value of x is 12.5 in the triangle by using cosine function, option B is correct.

We need to find the value of x in the triangle.

The given triangle is a right angles triangle.

We find value of x by using cosine function.

Cosine function is a ratio of Adjacent side and hypotenuse.

Cosθ = Adj side/hypotenuse.

Here θ = 28 degrees.

Adjacent side = 11.

Hypotenuse = x.

Plug in these values in above formula:

Cos28 degrees = 11/x

x=11/cos28

x=11/0.882

x=12.47

x=12.5

Hence, the value of x is 12.5.

To learn more on trigonometry click:

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Answer:

I can tell you that B is NOT correct as I got it wrong.  I bet the right answer is C as it is holding steady at 1:95.

Step-by-step explanation:

These are the choices for Plato

A. The exchange rate between the U.S. dollar and the yen changes from 1:95 to 1:102.

B. The exchange rate between the U.S. dollar and the euro changes from 1:95 to 1:92. - Wrong answer

C. The exchange rate between the U.S. dollar and the euro remains 1:95

Answer:

is b

Step-by-step explanation:

Number 3 is the correct answer

Tell me if you want further explanation

Answer:

f(x) = –2(x – 2)(x – 4)

Step-by-step explanation:

In the first two possible answer choices we have a 2 and a 4, whose product is 8, whereas we need a y-intercept of -16.  So omit the first two choices.

If the x-intercepts are at (2, 0) and (4, 0), the corresponding factors must be (x - 2)(x - 4), so the third answer, f(x) = –2(x – 2)(x – 4), must be the correct one.

Answer:

It is 12.5

Step-by-step explanation:

It is because the formula of finding the volume of a rectangular prism is area of the base x height.

So you do 200 divided by 16 (Which is the height) which equals 12.5

Answer:

The height of the prism is 12.5 units.

Step-by-step explanation:

Volume formula:  V = (length)(width)(height)

or                           V = (area of base)(height)

Here, we want to calculate the height.  The appropriate formula is

(height) = (volume) / (area of base) = (200 units³) / (16 units²) = 12.5 units

The height of the prism is 12.5 units.

Step-by-step explanation:

The triangles are congruent isosceles, therefore LM ≅ MN ≅ NO ≅ OL.

All four sides are equal, so be definition, quadrilateral LMNO is a rhombus.

Answer:

LMNO is a rhombus

Step-by-step explanation:

btw i love ur pfp! BLM

Answer:

15% apex confirmed

Step-by-step explanation:

The taxpayer and his spouse, with a combined taxable income of $27,900, will fall into the 15% tax bracket for a married couple filing jointly for the 2020 tax year.

The subject of this question is the United States Federal Income Tax Brackets. The taxpayer and his spouse have a combined taxable income of $14,200 + $13,700 = $27,900. For the 2020 tax year, a married couple filing jointly with taxable income between $0 and $19,750 fall in the 10% tax bracket, while those with taxable income between $19,751 to $80,250 are in the 15% tax bracket. So, the taxpayer and his spouse, with their combined taxable income, will fall into the 15% tax bracket. Their taxable income exceeds the threshold for the 10% tax bracket and does not reach the threshold for the 38% bracket. Please note, it's important to stay informed about tax brackets as they can change annually.

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Answer:

120 ways.

Step-by-step explanation:

We have been given that you have 6 reindeer, Prancer, Rudy, Balthazar, Quentin, Jebediah, and Lancer, and you want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line.

We will use permutation formula to solve our given problem as:

[tex]_{r}^{n}\textrm{C}=\frac{n!}{(n-r)!}[/tex]

[tex]_{3}^{6}\textrm{C}=\frac{6!}{(6-3)!}[/tex]

[tex]_{3}^{6}\textrm{C}=\frac{6\cdot 5\cdot 4\cdot 3!}{3!}[/tex]

[tex]_{3}^{6}\textrm{C}=6\cdot 5\cdot 4[/tex]

[tex]_{3}^{6}\textrm{C}=120[/tex]

Therefore, you can arrange your reindeer in 120 different ways.

Answer:

• The water bottle loses 0.5 an ounce of water per minute

Step-by-step explanation:

The definition of the variables tells you that m stands for minutes and that W stands for the water remaining in the bottle. So, the -0.5m in the equation has the effect of reducing the remaining water by 0.5 each time m increases by 1. That is, there are 0.5 fewer ounces of water after each additional minute: the bottle loses 0.5 ounces per minute.

d. $0.53 because..

3/5.25 = 1/1.75

5/9.75 = 1.95

7/12.60 = 1.80

10/14.20 = 1.42

12/18.24 = 1.52

then do ;

most expensive deal - least expensive deal = how much he’ll save

1.95 - 1.42 = .53

Answer: The answer would be D.

like she said down there !

!

Step-by-step explanation:

Answer:

162.4 in²

Step-by-step explanation:

The area (A) of a regular octagon is

A = [tex]\frac{1}{2}[/tex] perimeter × apothem

here perimeter = 8 × 5.8 = 46.4 in, hence

A = 0.5 × 46.4 × 7 = 162.4 in²

Answer:

it is d

Step-by-step explanation:

formula of sphere=4/3* pi*r cubed

Answer:

D

Step-by-step explanation:

A is nothing.

B is the surface area

C is nothing

D is the volume of a sphere.

Answer:

6

Step-by-step explanation:

Arc length = radius * central angle

s = rθ

A circle is 2π radians, so 1/3 of that is 2/3 π.

Given that s = 12 and θ = 2/3 π:

12 = r (2/3 π)

r = 18/π

r ≈ 6