Answer:
Step-by-step explanation:
Help me bois, ;w; IDK how to do this.
4 rectangles are 3 in x 2 in = 6 square inches each.
4 * 6 = 24 square inches.
2 squares are 3 in x 3 in = 9 square inches each
2 * 9 = 18 square inches.
Total area = 24 + 18 = 42 square inches.
at maximum speed, an airplane travels 1720 miles against th wind in 5 hours. Flying with the wind, the plane can travel the same distance in 4 hours. Let x be the maximum speed of the plane and y be the speed of the wind. What is the speed if the plane with no wind?
Answer:
x = 387
Step-by-step explanation:
The wind acts in the opposite direction to the plane when the time is longer.
The wind acts in the same direction as the plane when the time is shorter.
Equation
d = r*t
Givens
d = 1720x = plane's speedy = wind speedt1 = 5 hourst2 = 4 hours.Substitution
d = (x + y) * t1720 = (x + y) * 41720 = (x - y) * 5Since the two distances are the same, you can equate the right hand sides.
(x + y) * 4 = (x - y)*5 Remove the brackets.4x + 4y = 5x - 5y Add 5y to both sides4x + 4y + 5y = 5x - 5y + 5y Combine all the terms.4x + 9y = 5x Subtract 4x from both sides9y + 4x - 4x = 5x - 4x Combine9y = xNow use one of the given equations with the distance
1720 = (x + y)*4 Substitute 9y for x1720 = (9y + y) * 4 Combine1720 = 10y * 4 Multiply the right1720 = 40y Divide by 401720/40 = 40y/40 Do the division43 = y y = wind speek9y = x x = 9*y 9*43 = x x = 387 miles per hour.•Marble City has a population of 52,348 and covers an area of 125 square miles.
•Pebble City has the same population density as Marble City.
•The shape of Pebble City resembles a rectangle with a width of 11.8 miles and a length of x miles.
•The population of Pebble City is 85,312.
–Which measure is closest to the value of x?
Answer Choices:
A) 11
B) 17
C) 36
D) 77
Answer:
B) 17Step-by-step explanation:
The population density is the ration between the population and the area covered. So, the population density of Marble City
[tex]M=\frac{52348}{125}\approx418.78[/tex]
If both cities have the same population density, this can be used to find the dimension of Pebble City:
[tex]P=\frac{85312}{A}\\ 418.78=\frac{85312}{A}\\A=\frac{85312}{418.78}\approx 203.72[/tex]
Now, knowing the area of Pebble City, we can find its length
[tex]A=(length)(width)\\203.72=l(11.8)\\l=\frac{203.72}{11.8}\approx 17[/tex]
Therefore, the length of Pebble City has a length of 17 miles, approximately.
What are the coordinates of point c after the blue figure is rotated 180 degrees counterclockwise around the origin and translated 2 units to the right?
Answer:
(0, - 4 )
Step-by-step explanation:
under a counterclockwise rotation about the origin of 180°
a point (x, y ) → (- x, - y ), hence
C(2, 4) → (- 2, - 4)
A translation of 2 units to the right means add 2 to the original x- coordinate while the y-coordinate remains unchanged.
(- 2, - 4 ) → (- 2 + 2, - 4 ) → (0, - 4 )
Answer:
(0, - 4 )
Step-by-step explanation:
At a local pizza parlor , game tickets can be traded for small toys . The rate is 10 tickets for 4 small toys . If meg won 55 tickets playing skeeball , for how many small toys can she trade her tickets
Meg can trade her tickets in for 20 small toys.
best rentals charges a daily fee plus a mileage fee for renting its cars. barney was charged $159 for 3 days and 300 miles, while mary was charged $289 for 5 days and 600 miles. what does best rental charge per day and per mile?
Answer:
Let charge per day be $x and charge per mile be $y
then:
as per the given condition we have;
3x + 300y =159 .....[1]
5x + 600y = 289 .....[2]
Multiply equation [1] both sides by 5 we get;
[tex]5(3x+300y) = 5 \cdot 159[/tex]
Using distributive property: [tex]a \cdot(b+c) = a\cdot b+ a\cdot c[/tex]
15x+1500y = 795 .....[3]
Multiply equation [2] by 3 both sides we get;
[tex]3(5x+600y) = 3 \cdot 289[/tex]
Using distributive property: [tex]a \cdot(b+c) = a\cdot b+ a\cdot c[/tex]
15x+1800y = 867 .....[4]
Subtract equation [3] from [4] to eliminate x and solve for y;
15x+1800y-15x-1500y = 867 -795
Combined like terms;
300y = 72
Divide both sides by 300 we get;
[tex]y = \frac{72}{300}=0.24[/tex]
⇒ y =$0.24 per mile.
Now substitute this value y in equation [1] to solve for x;
3x + 300(0.24) =159
3x + 72 =159
Subtract 72 both sides we get;
3x + 72 -72 = 159 -72
Simplify:
3x = 87
Divide both sides by 3 we get;
[tex]x = \frac{87}{3} = 29[/tex]
Therefore, the best rental charges per day is, $ 29 and the charges per mile is, $0.24
The problem can be solved by setting up a system of linear equations from the given information. Then, solving these equations will yield the daily fee and mileage fee that Best Rental charges.
Explanation:To solve this problem, we can create a system of linear equations. Let's denote the daily fee as 'd' and the mileage fee as 'm'
From Barney's rental, we know that 3d + 300m = 159.
From Mary's rental, we know that 5d + 600m = 289.
We solve these two equations to find the values of 'd' and 'm'. This is an application of algebra in solving real-world problems
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Is there a similarity transformation that maps Triangle ABC to Triangle DEF? If so, identify the similarity transformation and write a similarity statement. Explain your answer.
Answer:
Yes, there is a similarity transformation that maps triangle ABC to Triangle DEF.
Step-by-step explanation:
Similarity transformation;
Triangle DEF has been transformed(dilated) by a factor of 2.
Since each dimension is twice that of the triangle ABC.
Two triangles are similar if their corresponding sides are congruent and corresponding angles are congruent.
Similarity statement:
ΔABC [tex]\sim[/tex] ΔDEF
these two triangles are similar because;
[tex]\frac{AB}{DE}= \frac{4}{8} = \frac{1}{2}[/tex]
[tex]\frac{AC}{DF}= \frac{4}{8} = \frac{1}{2}[/tex]
[tex]\frac{BC}{EF}= \frac{3}{6} = \frac{1}{2}[/tex]
⇒ [tex]\frac{AB}{DE}=\frac{AC}{DF} =\frac{BC}{EF}[/tex]
Yes, there is a similarity transformation that maps Triangle ABC to Triangle DEF.
To determine if two triangles are similar, one must check if they have the same shape, which means their corresponding angles are equal and their corresponding sides are in proportion.
Let's denote the angles of Triangle ABC [tex]\(A\), \(B\), and \(C\),[/tex] and the angles of Triangle DEF as [tex]\(D\), \(E\), and \(F\),[/tex] respectively. Similarly, let's denote the sides opposite these angles as [tex]\(a\), \(b\), and \(c\)[/tex] for Triangle ABC, and [tex]\(d\), \(e\), and \(f\)[/tex] Triangle DEF.
For Triangle ABC and Triangle DEF to be similar, the following conditions must be met:
1. [tex]\(A = D\), \(B = E\), and \(C = F\)[/tex] (AA postulate for similarity).
2. [tex]\(\frac{a}{d} = \frac{b}{e} = \frac{c}{f}\)[/tex] (corresponding sides are in proportion).
If these conditions are satisfied, then there exists a similarity transformation that maps one triangle to the other. This transformation can be broken down into the following steps:
1. Dilation: To make the sides of Triangle ABC proportional to the sides of Triangle DEF, we perform a dilation. The scale factor k can be determined by the ratio of any pair of corresponding sides. For example, [tex]\(k = \frac{d}{a} = \frac{e}{b} = \frac{f}{c}\)[/tex]. This single scale factor should work for all three sides if the triangles are similar.
2. Rotation/Reflection (optional): If Triangle DEF is not oriented in the same direction as Triangle ABC, we may need to rotate or reflect Triangle ABC to align it with Triangle DEF. This does not affect the similarity.
3. Translation (optional): Finally, if Triangle DEF is not in the same position as Triangle ABC (but has the same orientation and size after the dilation), we perform a translation to move Triangle ABC to the position of Triangle DEF.
Since the angles are preserved under dilation, rotation, and translation, and the sides are made proportional by the dilation, the similarity transformation is complete.
If the corresponding angles are equal and the corresponding sides are in proportion, then the two triangles are similar, and a similarity transformation exists that maps one to the other. The similarity statement captures this relationship, indicating that the triangles are similar to the AA postulate and the sides are in proportion.
I just need to know if they have equivalent volumes and an explanation.
Answer: Yes, they have equivalent volumes.
Step-by-step explanation:
For the volumes to be equal, a would have to be equal to b. We'll assume x=x
1. Set the volumes equal to each other
x +a +2b =x +2a +b
2. Simplify
[x +a +2b =x +2a +b] -x
[a +2b =2a +b] -a
[2b =a +b] -b
b =a
Therefore, 2a=2b, a=b, and x=x
Since the two prisms have the same measurements, they have the same volumes.
what is -3.5 divided by 0.05
Answer:-70
Step-by-step explanation:
Answer:-70
Step-by-step explanation:
−3.5
0.05
=−70
Mount McKinley in Alaska rises 20,320 feet in the air while Mount Kosciusko in Australia rises 7,310 feet. What is the difference in the height of these mountains? Express your answer in scientific notation.
Answer:
1.301 × 10⁴ ft
Step-by-step explanation:
Difference = h₂ - h₁
Difference = 20 320 - 7310
Difference = 13 010 ft
To convert the number to scientific notation, we move the decimal point four places to the left and make the exponent of 10 equal to +4.
Difference = 1.301 × 10⁴ ft
Write the equation of the given circle.
center (1, -5)
radius of 10
Answer:
[tex](x-1)^2+(y+5)^2=100[/tex]
Step-by-step explanation:
The equation of a circle has the following form:
[tex](x-h)^2+(y-k)^2=r^2[/tex] where (h,k) is the center of a circle with radius r.
Our equation center is (1.-5) and radius is 10.
[tex](x-1)^2+(y--5)^2=10^2[/tex]
[tex](x-1)^2+(y+5)^2=100[/tex]
Simplify the expression. 3(x + 6x2 − 3x − 3x2)
A. 3x2
B. 15x2
C. 9x2 − 6x
D. 15x2 − 6x
Answer:
C. 9x^2 − 6x
Step-by-step explanation:
3(x + 6x^2 − 3x − 3x^2)
According to PEMDAS, we need to simplify inside the parentheses first
3(x -3x+ 6x^2 − 3x^2)
3(-2x+3x^2)
Now we can distribute the 3 to both terms inside the parentheses
3 * -2x + 3* 3x^2
-6x + 9x^2
We normally write them in decreasing powers of x
9x^2 -6x
Mike is 3 years old.joe is 6 times as old as mike. whict equation shows how to find Joe's age? 6÷3=2. 9-3=6. 3×6=18. 3×6=9
Answer: 18
Step-by-step explanation:
3 times 6
the x-values in the table for f(x) were multiplied by -1 to create the table for g(x) what isbthe relationship between the graphs of the two functions
Answer: g(x) is the image of f(x)
Step-by-step explanation:
multiplying the x value by -1 means you reflect that point across y-axis, therefore, g(x) is the reflection of f(x) across y-axis.
Multiplying the x value by -1 means you reflect that point across y-axis,
therefore, g(x) is the reflection of f(x) across y-axis.
You are basically assigning the same y-value to the opposite x-values to make g(x). So, for the point (x, 31), on f(x), x is -2, but on g(x), x is 2. Thinking about this visually, you can imagine that this represents a reflection of f across the y-axis.
Here is the general rule for reflection across the y-axis: Given an equation y=f(x) y = f ( x ) , the new reflection equation of the reflected graph will be y=f(−x) y = f ( − x ).
The relationship between the graphs is Option 3 . they are reflection of each other across the y axis.
What is reflection equation?The reflection vector is generated by applying the equation R = U − 2NT(U · N), where N is the vertex normal transformed into eye space. The reflection equation used is the standard for computing the reflection vector given a surface normal and incident vector.
What is the formula for a reflection?The line of reflection is usually given in the form y = m x + b y = mx + b y=mx+by, equals, m, x, plus, b.
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What is the best estimate for 5.07 x 0.81 ?
A. 0.4
B. 4
C. 4.5
D. 5
Please help and if so correct and answered then I’ll mark you as Brainiest Answered.
Thank you.
Answer:
I'mma be honest someone else asked the same question and this is the answer they gotten They gotten 4 and 5 and 4.1 but in my opinion I say the answer should be 4
Step-by-step explanation:
Best estimate would be B, because the answer is 4.1067 and you would round down
each baseball team has 9 players and each football team has 11 players. 6 schools have both baseball and football teams. Four schools have only a baseball team. how many players are there for all 10 schools
Answer:
156 players
Step-by-step explanation:
The 9 players for baseball and 11 players for football are added. 9 + 11 = 20.
Once you have 20, you can multiply it by the 6 schools. Which gets you 120 players so far.
After you multiply the 4 schools by the 9 players for baseball. You’ll get 36. Add the 120 players to 36 players and you’ll get 156 players for the 10 schools in total
For what value of x is sin x = cos 19°, where 0°< x < 90°? A. 38° B. 71° C. 26° D. 19°
Answer:
B
Step-by-step explanation:
using the cofunction identity
• sin (90 - x) = cosx / cos(90 - x) = sinx, hence
cos 19° = sin(90 - 19)° = sin 71°
Answer:
B
Step-by-step explanation:
using the cofunction identity
• sin (90 - x) = cosx / cos(90 - x) = sinx, hence
cos 19° = sin(90 - 19)° = sin 71°
Which statement explains why one of these triangles is a right triangle?
Answer:
Triangle A has one right angle
Step-by-step explanation:
Your weekly base salary is $150. You earn $20 for each cell phone that you sell. What is the minimum amount you can earn in a week?
Answer:
$150 PLEASE GIVE BRAINLIEST
Step-by-step explanation:
The minimum you can earn would be $150. This would be your base salary and you selling 0 cell phones.
6x2/5 will be greater or less than 2/5
Final answer:
The expression 6x²/5 is greater than 2/5 if x is a positive integer greater than 1. If x equals 1, the expression is still greater than 2/5. However, if x is zero or negative, the expression will be equal to or less than 2/5.
Explanation:
To determine whether 6x²/5 is greater or less than 2/5, we need to consider the value of x.
As long as x is a positive integer greater than 1, the expression 6x²/5 will indeed be greater than 2/5. If x equals 1, then 6x²/5 simplifies to 6/5, which is greater than 2/5.
However, if x is zero or negative, then 6x²/5 will be equal to or less than 2/5. For example, when x is 2, 6x²/5 becomes 6 × (2²)/5 = 24/5, which is clearly greater than 2/5.
This logic is similar to instances where combining certain quantities doesn't always lead to a straightforward sum, such as mixing volumes of liquids or combining probabilities of events.
Jean junction is selling jeans at 15% off the regular price the regular price is 25.00 per pair what is the discount amount
Answer:
$3.75
Step-by-step explanation:
To find the price after discount subtract this from $25.00
25.00 - 21.25 = 3.75
21.25 + 3.75 = 25
Hope this helped!
Can someone help me answer this question.
Hello from MrBillDoesMath!
Answer:
Choice B (176)
Discussion:
Volume of a box = (area of base) * height.
In our case this becomes
"2 of the boxes have a height of 3" + "and one box has a height of 5"
16 * 3 + 16 * 3 + 16 * 5 =
48 + 48 + 80 =
96 + 80 =
176
which is choice B
Thank you,
MrB
Please help!
Explain your answer.
Answer:
D
Step-by-step explanation:
5+7(8r-2)
5+56r-14
-9+56r=56r-9
d
Answer:
D) 56r - 9
Step by Step Explanation:
You deposit $500 in an account that earns 5% compounded annually. What is the balance in your account after 5 years? Round your answer to the nearest cent.
F $2,625.00
G $625.00
H $886.89
J $638.14
Answer:
J. $638.14
Step-by-step explanation:
We will use compound interest formula to solve our given problem.
[tex]A=P(1+\frac{r}{n})^{nT}[/tex], where,
A=Final amount after T years.
P= Principal amount.
r= Interest rate in decimal form.
n= Period of compounding.
T= Time in years.
Let us convert our given interest rate in decimal form.
[tex]5\%=\frac{5}{100}=0.05[/tex]
Let us substitute our given values in above formula.
[tex]A=500*(1+\frac{0.05}{1})^{1*5}[/tex]
[tex]A=500*(1+0.05)^{5}[/tex]
[tex]A=500*(1.05)^{5}[/tex]
[tex]A=500*1.2762815625[/tex]
[tex]A=638.14078125\approx 638.14[/tex]
Therefore, we will have an amount of $638.14 after 5 years and option J is the correct choice.
The balance in your account after depositing $500 with an annual compound interest rate of 5% for 5 years would be $638.14, according to the formula for compound interest.
Explanation:To calculate the balance in an account after a certain period of time, we would use the formula for compound interest. This formula is
[tex]A = P(1 + r/n)^{nt}[/tex], where 'A' is the amount of money accumulated after n years, taking into account interest. 'P' is the principal amount (the initial amount of money), 'r' is the annual interest rate (in decimal), 'n' is the number of times that interest is compounded per year, and 't' is the time the money is invested for in years.
Here, P = $500, r = 5/100 = 0.05 (because the rate was given in percentage), n = 1 (because the interest is compounded annually), and t = 5 years. Inserting these values into the formula gives us
[tex]A = 500(1 + 0.05)^{1\times 5}[/tex]which simplifies to A = $638.14. So, the balance in your account after 5 years would be $638.14, rounded to the nearest cent.
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Simplifying the expression and enter your answer below (15^1/5)^5
Answer:
15
Step-by-step explanation:
Via the law of exponents power of a power property we have:
[tex](a^b)^c=a^{bc}[/tex]
Therefore:
[tex](15^{1/5})^5=15^{\frac{1}{5} \times 5}=15^{\frac{5}{5}}=15^1=15[/tex]
~~~Brainliest Appreciated~~~
What is the pattern and the slope ? Please answer
Answer:
slope = -1/2
Step-by-step explanation:
To find the slope, we can use the formula
m = (y2-y1)/(x2-x1)
= (4-3)/(-2-0)
= 1 /-2
= -1/2
The slope is -1/2
Using the information in the Box-and-Whisker plot shown, below what value is three quarters of the data?
A.
7
B.
10
C.
12
D.
17
Answer:
C. 12
Step-by-step explanation:
The last vertical line in a Box-and-Whisker plot is the upper quartile value, also know as 75% into the data. Since 75% is the same as three quarters and the last vertical line is on 12, C is the answer
Answer: C
Step-by-step explanation: I am a pro
When you divide 7.7 by 700 how many decimal places will the quotient have?
The number of decimal places that the quotient has will be 3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Division means the separation of something into different parts, sharing of something among different people, places, etc.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The numbers are given below.
7.7 and 700
The quotient of the numbers 7.7 and 700 will be
⇒ 7.7 ÷ 700
⇒ 0.011
Then the number of decimal places that the quotient has will be 3.
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I need a pic representing 24 divided by 6
Answer:The answer is 4
Step-by-step explanation:
Please Help, Thanks~
Explain how you can use the terms from the binomial expansion to approximate 4.02^5
1st term: 1024
2nd term: 25.6
3rd term: 0.256
4th term: 0.001
Answer:
See below. The result using the binomial theorem is 1049.8560 compared with 1049.8573 using a calculator.
Step-by-step explanation:
Binomial theorem:-
( a + x)^n = a^n + nC1 a^(n-1) x + nC2 a^(n - 2)x^2 + .......
(4 + 0.02)^5 = 4^5 + 5C1* 4^4 *0.02 + 5C2* 4^3* 0.02^2 + 5C3*4^2*0.02^3
+ 5C4 * 4 * 0.02^4 + 0.02^5
= 1024 + 5*4^4*0.02 + 10*4^3*0.02^2 + 10*4^2*0.02^3 + 5*4*0.02^4 + 0.02^5
= 1024 + 25.6 + 0.256 + 0.0000032
Answer:
Keisha's Response: The 4th term is almost 0, so the 5th and 6th terms are also close to 0. Add the terms shown to approximate 4.025: 1024 + 25.6 + 0.256 + 0.001 = 1049.857.
Step-by-step explanation:
EDGINUITY