find the surface area in square meters of a sphere with the diameter of 34 meters

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer:

x > 15/7

Step-by-step explanation:

four less than nine times a number:

9x - 4

Eleven more than two times the same number:

2x + 11

Thus:

9x - 4 > 2x + 11

7x > 15

x > 15/7

I hope this helps you :)

Answer:

Step-by-step explanation:

The expression 3s + s + 3 represents the total amount Alex and his family will spend to go to the movies. To simplify this expression, we can combine like terms.

The terms 3s and s are like terms because they both have the variable "s" raised to the power of 1. To combine them, we add their coefficients:

3s + s = (3 + 1)s = 4s

Therefore, the simplified expression is 4s + 3, which represents the total amount Alex and his family will spend to go to the movies.

Answer:

(-4,-9)

Step-by-step explanation:

multiply (a,b)

1. Initial prediction for the data set with smaller Mean Absolute Deviation was Period A. Prediction was wrong.

2. The Mean Absolute Deviation for Period A is 1.8 and Period B, 1.1

This means that period B has a smaller Mean absolute deviation.

We start by finding the mean for each set;

Period A: Mean = (1×92 + 1×94 + 3×95 + 1×96 + 2×97 + 1×99 + 1×100)/10

= 960/10

= 96

Period B: Mean = (1×94 + 3×95 + 1×96 + 4×97 + 1×98)/10

= 961/10

= 96.1

Period A:

Mean Absolute Deviation = ((92-96) + (94-96) + 3(95-96) + (96-96) + 2(97-96) + (99-96) + (100-96))/10

Mean Absolute Deviation = (4 + 2 + 3 + 0 + 2 + 3 + 4)/10

Mean Absolute Deviation = 1.8

Period B:

Mean Absolute Deviation = ((94-96.1) + 3(95-96.1) + (96-96.1) + 4(97-96.1) + (98-96.1))/10

Mean Absolute Deviation = (2.1 + 3.3 + 0.1 + 3.6 + 1.9)/10

Mean Absolute Deviation = 1.1

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Answer:

x = 25 , x = 136

Step-by-step explanation:

(15)

The opposite angles of a cyclic quadrilateral are supplementary , sum to 180°

3x + 105 = 180 ( subtract 105 from both sides )

3x = 75 ( divide both sides by 3 )

x = 25

(16)

The chord- chord angle is half the sum of the arcs intercepted by the angle and its vertical angle, then

x = \(\frac{1}{2}\) (VW + UX) = \(\frac{1}{2}\)(115 + 157) = \(\frac{1}{2}\) × 272 = 136

We are given the following information

After a while they stopped for gas.

Then they traveled 58 3/4 miles and stopped for lunch.

After lunch, they traveled tripled their distance before stopping for the night.

Their total distance was 381 miles.

Let x be the distance they travel before their first stop for gas.

So, the equation must be 3 times the distance x plus 58 3/4 miles and it must be equal to the total distance they traveled.

Now, let us solve the above equation for x.

Divide both sides of the equation by 3.

Now, subtract 58 3/4 from both sides of the equation.

Therefore, the distance they travel before their first stop for gas is 68 1/4 miles.

The value of x in the secant intersection is 4.

If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.

Therefore, let's find the value of x using the secant intersection theorem as follows;

4(4+x + 2) = 5(5 + x - 1)

4(6 + x) = 5(4 + x)

24 + 4x = 20 + 5x

24 - 20 = 5x - 4x

x = 4

Therefore,

x = 4

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Answer:

EG = 41

Step-by-step explanation:

since angles E and G are equal, the sides opposite them are equal

5x+23 = 7x+9

23 = 2x+9

14 = 2x

7 = x

EG = 6x-1

substitute 7 for 'x' to get:

EG = 6(7)-1 = 41

Answer:

195.5 m²

Step-by-step explanation:

A = bh/2

A = (23)(17)/2

A = 391/2

A ≈ 195.5 m²

1. The x - intercepts of the parabola are

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

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The values of the function when x = 1 are y = 1 and y = 1

The functions are given as:

y(x) = x^2

y^2 = x

Also, the graphs of the functions are given.

From the given graph, we have:

The common numbers in both domain are represented by x >= 0

An example of such number is

x = 1

So, we have:

y(1) = 1^2 ⇒ y(1) = 1

y^2 = 1  ⇒ y = 1

Hence, the values of the function when x = 1 are y = 1 and y = 1

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Answer:that’s a lot of numbers.            

Step-by-step explanation:

Answer: 46, 34

Step-by-step explanation:

2/3(x-40)^2 = 24
(x-40)^2 = 24/(2/3)
(x-40)^2 = 36

x - 40 = 6
x = 46

x - 40 = -6
x = 34

To solve the equation 2/3(x-40)^2 = 24,  start by isolating the variable x.

First, simplify the left side by multiplying both sides by 3/2:

(3/2) * 2/3 (x-40)^2 = (3/2) * 24

(x-40)^2 = 36

Next,  take the square root of both sides (remember to include both  positive and negative square roots, since x can be either positive or negative):

x-40 = ±6

Adding 40 to both sides gives:

x = 40 ± 6

So the main answers are:

x = 46 or x = 34

To support these answers, we can substitute each value back into the original equation and verify that it satisfies the equation:

If x = 46:

2/3(46-40)^2 = 24

2/3(6)^2 = 24

2/3 (36) = 24

24 = 24 (true)

If x = 34:

2/3(34-40)^2 = 24

2/3(-6)^2 = 24

2/3 (36) = 24

24 = 24 (true)

Therefore, the main answers are x = 46 and x = 34, and our supporting answers show that both solutions satisfy the original equation.

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Answer:

Dimensions = 21 centimeters by 4.2 centimeters.

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Perimeter of rectangle = 50cm

Translating the word problem into an algebraic expression, we have;

L = 5W

To find the dimensions of the rectangle;

Perimeter of rectangle = 2L + 2W

50 = 2L + 2W

50 = 2(5W) + 2W

50 = 10W + 2W

50 = 12W

W = 50/12

W = 4.2 cm.

To find the length;

L = 5W

L = 5*4.2

L = 21 cm.

Given statement solution is :- "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)).

"f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)).

The expressions "F(g(x)) g(f(x))" and "f(g(x)) g(f(x))" are compositions of functions. The answer to the question posed would depend on the specific functions F(x) and g(x), as well as f(x) and g(x) in the second expression.

To provide a brief response:

For the expression "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)). The order of composition is F(g(x)) first, followed by g(f(x)).

For the expression "f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)). The order of composition is f(g(x)) first, followed by g(f(x)).

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The expression for the total cost of Sal's purchases is 7x + 5y cents.

We know that Sal paid (x + 2y) cents for a quart of milk and (2x + y) cents each for three cartons of orange juice.To find the total cost of Sal's purchases we need to add the cost of the milk and the cost of the three cartons of orange juice and simplify the expression.The cost of the milk is given as (x + 2y) cents. The cost of three cartons of orange juice is (2x + y) cents each.

Therefore, the cost of three cartons of orange juice is (3 × (2x + y)) cents. To find the total cost of Sal's purchases, we add the cost of the milk and the cost of the three cartons of orange juice.(x + 2y) + (3 × (2x + y)) cents = x + 2y + 6x + 3y cents= 7x + 5y cents.

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Answer:

so that you will multiply 15 * 4.

Step-by-step explanation:

15*4 = 60 now you divide 60 by 4 and the answer will be 15.

Answer:

1. >

2. <

3. =

4. <

Step-by-step explanation:

23.197 > 23.179

3 2/10 which is the same as,

3.2 < 3.243

30.423 = 30 423/1000

18.546 < 18 56/100

Answer:

21 yards of fabric

Step-by-step explanation:

take 1.75 and multiply it by 12

Answer:

\(\cos{\theta} = \frac{\sqrt{15}}{4}\)

Step-by-step explanation:

For any angle \(\theta\), we have that:

\((\sin{\theta})^{2} + (\cos{\theta})^{2} = 1\)

Quadrant:

\(0 \leq \theta \leq \frac{\pi}{2}\) means that \(\theta\) is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

\((\sin{\theta})^{2} + (\cos{\theta})^{2} = 1\)

\((\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1\)

\(\frac{1}{16} + (\cos{\theta})^{2} = 1\)

\((\cos{\theta})^{2} = 1 - \frac{1}{16}\)

\((\cos{\theta})^{2} = \frac{16-1}{16}\)

\((\cos{\theta})^{2} = \frac{15}{16}\)

\(\cos{\theta} = \pm \sqrt{\frac{15}{16}}\)

Since the angle is in the first quadrant, the cosine is positive.

\(\cos{\theta} = \frac{\sqrt{15}}{4}\)

Answer:

b.\(\frac{\sqrt{15} }{4}\)

Step-by-step explanation:

Answer:

The 95% confidence interval for the overall noncompliance proportion is (0.0387, 0.1169).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

For this problem, we have that:

\(n = 180, \pi = \frac{14}{180} = 0.0778\)

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0778 - 1.96\sqrt{\frac{0.0778*0.9222}{180}} = 0.0387\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0778 + 1.96\sqrt{\frac{0.0778*0.9222}{180}} = 0.1169\)

The 95% confidence interval for the overall noncompliance proportion is (0.0387, 0.1169).

Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.

The mean refers to the average value.

The average is the quotient of the total value divided by the number of items in the data set.

The number of boys in the class = 26

The number of girls in the class = 20

The total number of boys and girls in the class = 46

The mean number of counters that the boys have = 28

The total number of counters that the boys have = 728 (28 x 26)

The mean number of counters that the girls have =19

The total number of counters that the girls have = 380 (19 x 20)

The total number of counters that the class has = 1,108 (728 + 380)

The average or mean number of counters in the class = 24 (1,108 ÷ 46)

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Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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Answer:

128

Step-by-step explanation:

i took the test , have a good day

a) Corresponding angles are congruent, m<a=139

b) Alternate Interior Angles are congruent, m<b =139

Answer:

x=90

y=148

Step-by-step explanation:

Since we know a line is 180 degrees, and we know that angle Q is 90, x must be a 90-degree angle as well.

With our given information we can add up the two given angles in the triangle which are 90 and 58

90+58=148

To find what R is, we must subtract 148 from 180 because all the angles in a triangle sum up to 180.

180-148=32

Now that we know that R is 32, because we know that a line is 180 degrees, we can subtract 32 from 180 to get our final answer for y as 148.

180-32=148