Ataut telephone wire extends from the top of a 40-foot tall telephone pole to a stake in the


ground 9 feet away. A bug crawled from the stake in the ground up the wire to the top of the


telephone pole. Then the bug crawled down to the bottom of the pole and back to the stake. How


far did the bug crawl?


feet

Answer:

The answer is B

Step-by-step explanation:

I have study Island too and the answer C is wrong

Final answer:

The survey conducted only among male customers at a music store is not valid because it's not representative of the entire customer base, thereby introducing a selection bias.

Explanation:

The question asks whether the results of a music preference survey conducted only among male customers at a music store are valid. Answer choice B, No, because the music store did not survey a sample that is representative of the population, is correct.

A valid survey must aim to avoid selection bias by ensuring that its sample represents the entire population it intends to make statements about.

Surveying only male customers introduces a bias, as it excludes female customers, making the sample not representative of all music store customers. This compromises the survey's ability to accurately reflect the preferences of the entire customer base.

Answer:

one solution

Step-by-step explanation:

Answer:

1244 students

2064 students

hope it helped

Step-by-step explanation:

Thanks

you were right

Answer:

9 - 24y

Step-by-step explanation:

12 ( 3/4 - 2y)

Distribute

12 * 3/4 - 12 * 2y

36/4 -24y

Simplfiy

9 - 24y

Answer:

c

Step-by-step explanation:

I subtracted 180 with 75 and I got 105.

The measure of angle ∠W is 50°. None of the answer choices match this result exactly.

To find the measure of angle ∠W, we can use the fact that the sum of the angles in a triangle is always 180 degrees. If we already know the measures of ∠X and ∠Y, we can find ∠W as follows:

m∠X + m∠Y + m∠W = 180°

Given:

m∠X = 55°

m∠Y = 75°

Now, plug in these values:

55° + 75° + m∠W = 180°

Combine the known angle measures:

130° + m∠W = 180°

To find the measure of ∠W, subtract 130° from both sides of the equation:

m∠W = 180° - 130°

m∠W = 50°

Therefore, the correct answer is not among the options provided.

for such more question on measure of angle

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Answer:

y-intercept = (0, 2.5)

x-intercept = (2.143, 0)

Step-by-step explanation:

y - intercept:

This is when x = 0 so

-7(0) - 6y = -15

-6y = -15

y = -15/-6

y = 2.5.

x_intercept:

-7x - 6(0) = -15

-7x = -15

x = -15 /-7

= 2.143.

Answer:

1 - D

2- B

Simple just use a calculator

Answer:

1. B

2. B

Step-by-step explanation:

you add all of the money first

32.50

it says 18%

so you multiply 32.50 times 18%

PEMDAS

parenthesis

exponents

multiply or divide left to right

add or subtract left to right

5 times 69 - 9

336

Answer:

(16  x  −  4  ,  x²  +  5x)  +  6

if we simplify it

but i don't know what your asking exactly..

Answer:

solution:  (3, 5)

Step-by-step explanation:

Solve this system of equations

{2x + y = 11

{5x - y = 10​

add the equations to use elimination method.

2x + 5x + y - y = 11 + 10;

7x = 21

x = 21/7 = 3

x = 3

y = 11 - 2x = 11 - 2*3 = 11 - 6 = 5

Answer:

Step-by-step explanation:

The result can be shown in multiple forms.

Exact Form:

√

6

−

√

2

4

Decimal Form:

0.25881904

…

Answer:

B. ∠C = 69°

C. Jamie has positioned the ladder safely.

Step-by-step explanation:

A. In the figure attached length of ladder AC = 15 ft

   and the top of the ladder is at the point A 14 ft above the ground.

B. SinC = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

            = [tex]\frac{14}{15}[/tex]

        [tex]C=sin^{-1}(\frac{14}{15} )[/tex]

        C = 68.96°

        C ≈ 69°

C). For safety reasons, angle between the ladder and the ground should be less than 75°.

Existing angle between the ladder and ground is 69° which is less than the angle required for safety.

Therefore, Jamie has positioned the ladder safely.

Answer:

[tex]\sqrt136[/tex] (option D)

Answer:

A: rolling a two and the coin landing on tails

Step-by-step explanation:

bc I got it right on edg 2020

Experimental probability: 3/10

The correct answer is rolling a two and the coin landing on the tails

A 3-column table with 10 rows.

Column 1 is labeled Trial with entries 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

Column 2 is labeled Outcome with entries H T, T T, H T, H H, H T, H T, T T, H T, T T, H H.

Column 3 is labeled Result with entries Fail, pass, fail, fail, fail, fail, pass, fail, pass, fail.

A pop quiz has 2 True/False questions. Paris used a 10-trial coin flip to simulate the results of guessing on the quiz. If T represents answering a question correctly, what is the experimental probability of correctly answering both questions by guessing?

Frequency of observed desired outcome: 3

Number of trials: 10

Experimental probability: 3/10

Therefore, the correct answer is

rolling a two and the coin landing on tails

To learn more about probability

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Answer:

The top of the tree house is 70.71ft high

Step-by-step explanation:

Kindly find attached rough sketch of the problem for your reference.

From the sketch we see that the rope at 45° and the tree house form a right angle triangle

Applying

SOH CAH TOA formula

using SOH

sin θ= h/100

h= sinθ*100

h= sin(45)*100

h= 0.7071*100

h= 70.71ft

We have been given that the population of a town was 500 in 2010. The population grows at a rate of 9.6% annually.

We will use exponential growth formula to solve our given problem.

[tex]y=a\cdot (1+r)^x[/tex], where,

y = Final amount,

a = Initial value,

r = Growth rate in decimal form,

x = Time.

Let us convert 9.6% into decimal as:

[tex]9.6\%=\frac{9.6}{100}=0.096[/tex]    

We can see that initial value is 500.

[tex]y=500\cdot (1+0.096)^x[/tex]

[tex]y=500\cdot (1.096)^x[/tex]

Therefore, the equation [tex]P(t)=500\cdot (1.096)^t[/tex] represents the population t years after 2010.

To find the population of the town in 2020, we will substitute [tex]t=10[/tex] in our equation as:

[tex]P(10)=500\cdot (1.096)^{10}[/tex]

[tex]P(10)=500\cdot (2.5009530650806592)[/tex]

[tex]P(10)=1250.4765325403296\approx 1250[/tex]

Therefore, the population of the town would be approximately 1250 in 2020.

Answer:

5 pizza rolls

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

B.) 24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

The third side is called the hypotenuse, lets call that the x side.

So we are finding x.

The two other sides add up to the hypotenuse, x.

35 + 12 = 47

Answer:

3 and 1/4

Step-by-step explanation:

Answer:

[see picture]

Step-by-step explanation:

There were no given choices, but I did graph the equation using Desmos.

Choose the answer that is closest to this:

Answer:

[tex]\sum ^{20} _{n \to \11} 4n[/tex]

Step-by-step explanation:

In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;

4, 8, 12, 16, 20...80

The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d

a is the first term = 4

d is the common difference = 21-8 = 8-4 = 4

n is the number of terms

On substituting, Tn = 4+(n-1)4

Tn = 4+4n-4

Tn = 4n

The nth term of the series is 4n.

Since the last term is 80, L = 4n

80 = 4n

n = 80/4

n = 20

This shows that the total number of terms in the sequence is 20

According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;

4 + 8 + 12 + 16 + 20+ . . . + 80  = [tex]\sum ^{20} _{n \to \11} 4n[/tex]

The series 4 + 8 + 12 + 16 + 20 + ... + 80 can be expressed in summation notation as Σ[4 + (i - 1) × 4] for i = 1 to 20.

To write the series 4 + 8 + 12 + 16 + 20 + ... + 80 using summation notation, we first identify that it is an arithmetic series. An arithmetic series is a sequence of numbers in which the difference between consecutive terms is constant.

The given series: 4, 8, 12, 16, 20, ..., 80

We can observe that the common difference (d) is 4, and the first term (a) is 4. The nth term of an arithmetic series can be given by:

a + (n-1)d

Here, the nth term is 80. Setting up the equation for the nth term:

4 + (n-1)4 = 80

Simplifying this equation:

4 + 4n - 4 = 804n = 80n = 20

Thus, the series has 20 terms. We can write the series in summation notation as follows:

Σ[4 + (i - 1) × 4] for i = 1 to 20

To find the sum of this arithmetic series, we use the formula for the sum of an arithmetic series:

Sum = n/2 × (first term + last term)

Here, first term (a1) = 4, last term (an) = 80, and n = 20. So,

Sum = 20/2 × (4 + 80) = 10 × 84 = 840

Therefore, the summation notation for the series is Σ[4 + (i - 1) × 4] for i = 1 to 20, and its sum is 840.

Answer:

120

Step-by-step explanation:

Each square=x

6g-10g=4g       10g-12g=2g      12-14g=2g

15g-14g=1g       16g-15g=1g       20g-16g=4g

(4x3)+(2x8)+(2x11)+(1x23)+(1x19)+(4x20

12+16+22+23+19+8=1000

x=1000

1000÷100=10

1 box = 10

4×30=120

(I got this answer through help of others, it is not truly mine)

To find the number of mice with birth weights below 10 grams on a histogram, multiply the frequency by the given class width for that weight range and sum frequencies if multiple bars are relevant.

The student is asking how to work out the number of mice with birth weights below 10 grams, based on a given histogram. Since the histogram is not displayed here, I will explain the general process for determining the number of mice under a certain weight category using a histogram. First, find the bar that represents the birth weights below 10 grams. The height of this bar corresponds to the frequency density for this class interval. If the class width (the range of values within the category) is 1 gram, then the frequency (number of mice) in this bar can be found by multiplying the frequency density by 1 gram. If the histogram does not provide frequency directly and instead gives frequency density, you must also know the class width to calculate the number of mice. Multiply the frequency density by the class width to find the frequency. If multiple bars (class intervals) cover birth weights below 10 grams, sum the frequencies of all relevant bars to calculate the total number of mice with weights below 10 grams.

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Answer:

He will ride his bicycle for 72 hours and jog for 96 hours.

Step-by-step explanation:

David rode his bicycle for 6 hours and he jogged for 8 hours during the past 2 weeks.

We can say that per week, he rode his bicycle for 3hours and jogged for 4 hours.

Assuming that he continues at the same rate, in 24 weeks, he will ride his bike for:

24 * 3 = 72 hours

And he will jog for:

24 * 4 = 96 hours.

He will ride his bicycle for 72 hours and jog for 96 hours.

Answer:

72 all you need to do is 24  x 3 and you get 72. :)

We have been given two points. [tex]A(3,4)[/tex] and [tex]C(3,9)[/tex]. We are asked to find the point B such that it divides line segment AC so that the ratio of AB to BC is 4:1.

We will use segment formula to solve our given problem.

When a point P divides segment any segment internally in the ratio [tex]m:n[/tex], then coordinates of point P are:

[tex][\right x=\frac{mx_2+nx_1}{m+n},y=\frac{my_2+ny_1}{m+n}\left][/tex]

[tex](x_1,y_1)=(3,4)[/tex] and [tex](x_2,y_2)=(3,9)[/tex].

[tex]m=4,n=1[/tex]

Upon substituting our given information in above formula, we will get:

[tex][\right x=\frac{4(3)+1(3)}{4+1},y=\frac{4(9)+1(4)}{4+1}\left][/tex]

[tex][\right x=\frac{12+3}{5},y=\frac{36+4}{5}\left][/tex]

[tex][\right x=\frac{15}{5},y=\frac{40}{5}\left][/tex]

[tex][\right x=3,y=8\left][/tex]

Therefore, the coordinates of point B would be [tex](3,8)[/tex].

Answer:

C : 228 in³

Step-by-step explanation:

Answer:

The area is [tex]78.54units^2[/tex]

The area would be 78.5[tex]units^2[/tex] (pi=3.14)

Step-by-step explanation:

The formula for the area of a circle is : [tex]\pi *radius^2[/tex]

To work the area of this quadrant you would first need to work out the area of the circle. You can do this by multiplying pi by the radius of 10 squared, this gives you 314.16.

The next step is to work out how much of the circle we need to work out the area for. As this is a right angle (90°) we know that this is [tex]\frac{1}{4}[/tex] of a circle. This is because the total of a circle is 360, and that by dividing 360 by 90, this gives you 4. This tells that this is a quarter of a circle.

The final step would be to divide the area of 314.16 by 4, this gives you 78.54. This is because we are using the area to work out the area of just one quadrant.

1) Multiply pi by 10 squared.

[tex]\pi*10^2=314.16^2[/tex]

2) Divide 360 by 90.

[tex]360/90=4[/tex]

3) Divide 314.16 by 4.

[tex]314.16/4=78.54^2[/tex]

Pi=3.14:

To work the area of this quadrant you would first need to work out the area of the circle. You can do this by multiplying pi by the radius of 10 squared, this gives you 314.

The next step is to work out how much of the circle we need to work out the area for. As this is a right angle (90°) we know that this is [tex]\frac{1}{4}[/tex] of a circle. This is because the total of a circle is 360, and that by dividing 360 by 90, this gives you 4. This tells that this is a quarter of a circle.

The final step would be to divide the area of 314. by 4, this gives you 78.5. This is because we are using the area to work out the area of just one quadrant.

1) Multiply pi by 10 squared.

[tex]\pi*10^2=314^2[/tex]

2) Divide 360 by 90.

[tex]360/90=4[/tex]

3) Divide 314.16 by 4.

[tex]314/4=78.5^2[/tex]

Answer:

(0,8)

Step-by-step explanation:

Answer:

(0,8)

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

Divide your value by 2 if your given value is the length of the center line that creates the middle two triangles within the hexagon. The quotient is the length of the hexagon side. If this value is 25, then the length of one side of the hexagon is 25 divided by 2, which is 12.5. Then you multiply that by 6 for each side and get 75. Hopes this helps. : )