Which statement is true about the circumference of a circle? The circumference is equal to the radius of the circle. The circumference is equal to the diameter of the circle. The circumference is found by multiplying Pi by the radius. The circumference is found by multiplying Pi by the diameter.

Answer: You didn't show us the graphs so we can't tell you.

Step-by-step explanation:

The following ordered pairs are found by using a graphing tool: (- 2, 2), (4, 2), (- 6, - 2), (8, - 2), (- 6, - 8), (8, - 8), (- 2, -12), (4, - 12)

In this question we know that a line segment has a length of √58 units and the location of the end point K is K(x, y) = (1, - 5) and we need to determine the possible of the end point L on the assumption that the coordinates are integers. A possible approach is to use the Pythagorean theorem to determine the family of points that fulfill the requirements from statement:

58 = (x - 1)² + (y + 5)²

This formula resembles a circle, then we find the limits of the expression:

x = 0

58 = 1² + (y + 5)²

57 = (y + 5)²

y + 5 = ± √57

y = - 5 ± √57

- 12.549 ≤ y ≤ 2.550

y = 0

58 = (x - 1)² + 5²

33 = (x - 1)²

x - 1 = ± √33

x = 1 ± √33

- 4.745 ≤ y ≤ 6.745

Then, we find the following ordered pairs by using a graphing tool:

(- 2, 2), (4, 2), (- 6, - 2), (8, - 2), (- 6, - 8), (8, - 8), (- 2, -12), (4, - 12)

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Answer:

I mean, sure

Step-by-step explanation:

usually after the number theres a unit and an number next to it indicating the dimension it works in

so like perimeter is x cm^1

area is x cm^2

volume is x cm^3

Answer:

Similar by SAS.

Step-by-step explanation:

SSS - sides proportional.

AA -Same angles and sides should be proportional. In this case, the angles are different, so they are not similar by sss.

SAS - One equal angle, and sides proportional. Happens here. So the answer is similar by SAS.

Given that the fraction is 1/36

And we need to find the equivalent ones.

Explanation-

So first we will solve all the options and then we will get the required answer.

If we shift power from the numerator to the denominator then the sign of the number n the power gets changed and vice-versa.

Then,

Hence,

The final answer is option 2, 3, and6

Answer:

Step-by-step explanatB Convection caused hot air to rise to the top of your house is the best explanation for why you may feel very hot when you go up to your attic on a summer day.

Convection is the transfer of heat by the movement of a fluid, such as air. On a hot summer day, the air inside your attic can become very hot, and because hot air rises, it will accumulate at the top of your house. When you go up to your attic, you will feel the heat from this accumulated hot air.

Conduction, on the other hand, is the transfer of heat through a material, such as the roof or walls of your house. While some heat may be conducted through the roof, it is unlikely to be the primary cause of the heat in your attic.

Insulation (option C) can help to keep the heat from the attic from escaping into the cooler temperatures below, but it is not the primary cause of the heat in the attic.

ion:

Answer:

Step-by-step explanation:

Alright, after reading this problem, let’s highlight some key points. Each sweater costs $25, we can write that down as 25x because will represent the amount of sweaters we buy. But we have a shipping fee of $7, so we will +7 to our highlights. And the total money spent was $132.

So far, we have: 25x + 7 = 132

Let’s subtract the 7 from the 132. Now we have: 25x = 125

Then we can divide by 25 on each side, and get x by itself.

X = 5 sweaters.

BONUS: Let’s replace 5 for our x to prove our answer

25(5) + 7 = 132 >>> 125 + 7 = 132 >>> 132 = 132 :D

There you go!! We buy 5 sweaters from American Eagle..!

Answer:

12

Step-by-step explanation:

By the consecutive interior angles theorem, \(m\angle 3+m\angle 5=180^{\circ}\).

\(9x-16+7x+4=180 \\ \\ 16x-12=180 \\ \\ 16x=192 \\ \\ x=12\)

Answer:

y = 3x-5

Step-by-step explanation:

The difference between each y for each change of 1 in x is 3, so it's y-intercept is -5, and its slope is 3.

Answer:

-2, 3

Step-by-step explanation:

\(x^2-x-6=0\)

Factoring:

\((x-3)(x+2)=0\)

\(\therefore x=3 \text{ or } x=-2\)

Answer:

below

Step-by-step explanation:

\(x^{2} - x - 6 = 0\) is a quadratic equation so we will use the quadratic formula

\(a = 1 \\b = -1 \\c = -6\)

the quadratic formula is \(b^{2} - 4ac\)

\(x = \frac{-b - / + \sqrt{25} }{2a}\) ⇒ \(\frac{1 -/+ 5}{2}\)

                      ⇒ \(x = -2 \\x = 3\)

The ratio by mass of copper to zinc in the alloy is 3:1.

To find the ratio by mass of copper to zinc in the alloy, we need to first calculate the total mass of the alloy. We can do this by adding the mass of copper and zinc:

Total mass of alloy = 13.5 g + 4.5 g = 18 g

Now we can find the ratio of copper to zinc by dividing the mass of copper by the mass of zinc:

Ratio of copper to zinc = 13.5 g / 4.5 g = 3:1

Therefore, the ratio by mass of copper to zinc in the alloy is 3:1.

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Component form of u is (-18,13) and The magnitude of u is 22.2

A vector is a two-dimensional entity with both magnitude and direction. A vector can be visualized geometrically as a directed line segment.

The component form of a vector is an ordered pair that describes the change in x and y values

This is mathematically expressed as (Δx, Δy) where Δx=x₂-x₁ and Δy=y₂-y₁

Given ;

Initial points of the vector as (14,-6)

The terminal point of the vector is (-4,7)

Here x₁=14,x₂=-4, y₁=-6,y₂=7

The component form of the vector u is (-4-14,7--6) =(-18,13)

Finding the Magnitude of the vector

u=√(x₂-x₁)²+(y₂-y₁)²

u=√-18²+13²

u=√324+169

u=√493

u=22.2

Therefore the Component form of u is (-18,13) and The magnitude of u is 22.2

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Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."

x + y = 420; y = 6x

Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."

The smallest and largest fish range in size from 1 cm to 18 m. 18 m then equals 18 x 100 or 1800 cm. ∴ The length of large fish exceeds that of little fish by 1800 times.

The number of parrotfish Carlos purchased is represented by the variable y, whereas the number of angelfish Carlos purchased is represented by the variable x.

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Answer: 185.7 miles

Step-by-step explanation:

To find the total distance, add the smaller distances together.

47.8 + 72 + 65.9 = 185.7

Answer:

y = -3/4x + 4.5

Step-by-step explanation:

Answer:

  y = 4x -16

Step-by-step explanation:

The equation of the parallel line can be written from the given x-intercept when we know its slope. The slope will be the same as that of the graphed line. It can be found using the slope formula with the marked points (-3, -3) and (-1, 5).

  m = (y2 -y1)/(x2 -x1)

  m = (5 -(-3))/(-1 -(-3)) = 8/2 = 4 . . . . . slope of the lines

The point-slope equation for the line with slope 4 through point (4, 0) will be ...

  y -k = m(x -h) . . . . line with slope m through point (h, k)

  y -0 = 4(x -4) . . . . line with slope 4 through the given x-intercept

  y = 4x -16 . . . . . . expanded to slope-intercept form

Isoquants for f(K, L) = 1/2 min{K, L} that produce exactly 10 goods and 25 goods can be graphed, with labeled points.

For function f(K, L) = 1/2 min{K, L}, we can graph the isoquants that represent the combinations of capital (K) and labor (L) that produce exactly 10 goods and 25 goods.

An isoquant represents all the combinations of inputs (K and L) that yield the same level of output. In this case, the isoquants will be curves that connect different combinations of K and L, where the output is constant at either 10 goods or 25 goods.

To graph the isoquant for 10 goods, we plot points where f(K, L) = 10. For example, if we let K = 4 and L = 4, the minimum of K and L is 4, so f(K, L) = 1/2 * 4 = 2 goods.

Since this is less than 10, we need to increase either K or L. We can try K = 8 and L = 4, where the minimum of K and L is still 4, and f(K, L) = 1/2 * 4 = 2 goods. Again, this is less than 10, so we increase K or L further.

Continuing this process, we can plot a few more points and connect them to obtain the isoquant for 10 goods.

Similarly, we can graph the isoquant for 25 goods by plotting points where f(K, L) = 25. For each point, we determine the minimum of K and L, multiply it by 1/2, and check if the result is equal to 25. By plotting and connecting several such points, we obtain the isoquant for 25 goods.

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The radius,r, of the cylindrical swimming pool is 10/2 = 5m

By formula,

The volume of the swimming pool is;

The number,n, of hours needed to empty the swimming pool at a rate of 19 cubic meters per hour:

Answer:

x=13

Step-by-step explanation:

we can guess that the three angles are a linear pair and equal 180

in this case we can start writing a equation

x+105+62=180

now we can subtract both whole numbers from 180 but that takes longer, so we will combine the whole numbers on the left side.

x+167=180

now we can go ahead and subtract 167 from both sides. by doing so, it isolates the x and gives you your answer

180-167=13

so... x=13

Answer:

The third one for the first picture and the second one for the second picture

Step-by-step explanation:

Answer:

C) 9 + x is the answer

Step-by-step explanation:

sum means to add

Hey there!

Guide:

• Sum means add/addition
• Difference means subtract/subtraction
• Product means multiply/multiplication
• Quotient means divide/Division

So, let’s answer your given question.

Key terms in your word problem

“The SUM of -9 and a NUMBER”

Sum is to add and Number is to unknown so we can label it as “x”

Your equation/answer should be:

-9 + x

Because you’re adding -9 to your unknown number (x)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The price that is 3rd standard above the mean, if the mean is $10000  and the standard deviation is $500 is $18500.

Mean is a measurement of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."

Given:

The mean, m = $17000,

The standard deviation, σ = $500

Calculate the 3rd standard deviation as shown below,

3rd standard deviation  = mean + 3 × standard deviation

3rd standard deviation = 17000 + 3 × 500

3rd standard deviation = 17000 + 1500

3rd standard deviation = $18500

Therefore, the price that is 3rd standard above the mean, if the mean is $10000  and the standard deviation is $500 is $18500.

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The required critical point is A = (2/3)^(3/4) and the open intervals are as follows:(-∞, A): A is ≈ 0.7713(A, ∞): A is ≈ 0.7713. Thus, the value of A for each of the given intervals is ≈ 0.7713.

Given, the function is f(x) = 5(x^2)^(2/3).

To find the critical number, differentiate the function.

f(x) = 5(x^2)^(2/3)

Differentiating the function with respect to x, we get;

f'(x) = 10x[(x^2)^(2/3) - 2/3(x^2)^(2/3-1)]

f'(x) = 10x[(x^4)^(1/3) - 2/3(x^4)^(-1/3)]

f'(x) = 10x[x^(4/3) - 2/3x^(-2/3)]

At critical points,

f'(x) = 0x[x^(4/3) - 2/3x^(-2/3)]

= 0x^(4/3) - 2/3

= 0x^(4/3)

= 2/3x

= (2/3)^(3/4)

Critical point is A = (2/3)^(3/4)

Now, let's check for the intervals:(-∞, A):

Choose x = 0f(x) = 5(x^2)^(2/3)f(0) = 5(0)^(2/3)f(0) = 0

Choose x = 1f(x) = 5(x^2)^(2/3)f(1) = 5(1)^(2/3)f(1) = 5

f(A) = f((2/3)^(3/4))f(A) = 5[(2/3)^(2/3)]^(2/3)

f(A) = 5[(2/3)^(4/9)]

f(A) ≈ 2.7286(A, ∞): Choose x = 0

f(x) = 5(x^2)^(2/3)f(0) = 5(0)^(2/3)f(0) = 0Choose x = 1

f(x) = 5(x^2)^(2/3)f(1) = 5(1)^(2/3)

f(1) = 5Choose x = 2

f(x) = 5(x^2)^(2/3)f(2) = 5(2)^(2/3)f(2) ≈ 6.7082

Hence, the required critical point is A = (2/3)^(3/4) and the open intervals are as follows:(-∞, A): A is ≈ 0.7713(A, ∞): A is ≈ 0.7713

Thus, the value of A for each of the given intervals is ≈ 0.7713.

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If the difference between the total surface area and curved surface area of a hemisphere is 154 cm2, then its volume is 718.66 cm³

In general, the term "hemisphere" refers to the lower half of the earth, such as the northern or southern hemispheres. A hemisphere, however, is a 3D figure that is created by splitting a sphere into two equal halves, each with one flat side, and is known as such in geometry.

In everyday life, we encounter a variety of objects that have a hemisphere shape, such as a cherry that is shaped like a hemisphere when cut in half or a grapefruit that has a hemisphere shape when cut in half.

The difference between the total surface area and curved surface area of a hemisphere is 154cm.

Total Surface Area of Hemisphere = 3πr²

And Curved Surface Area of Hemisphere = 2πr²

It is Given that

Total Surface Area of Hemisphere - Curved Surface Area of Hemisphere. = 154.

Substituting the values, we get,

⇒ 3πr² - 2πr² = 154

⇒ πr² = 154

⇒ r² = 154/π

⇒ r² = 154 × (7/22)

⇒ r² = 7 × 7

⇒ r = 7.

Now, lets find the volume which is

Volume of Hemisphere = 2/3πr³

V = 2/3π(7)³

V = 2/3(22)(7)²

V = 2156/3

V = 718.66 cm³

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Sherry's commitment and love for reading allowed her to embark on a literary adventure that spanned two days. From the initial taste of 1/3 to the final bite of the remaining line 2/3, she had read the entire book, savoring every word and getting lost in the magic of storytelling.

Sherry's reading adventure began with her diving into a book, eager to explore its contents. She managed to devour a portion of the book, specifically 1/3 of it, before feeling the sweet embrace of sleep and deciding to call it a night.

The following day arrived, and Sherry's desire to unravel the remaining mysteries of the book was still burning bright within her. Determined to quench her thirst for knowledge, she dedicated herself to reading the rest of the book. With focused determination, she turned page after page, immersing herself in the story's captivating world.

As the hours ticked by, Sherry felt the satisfaction of progress. With each passing chapter, she could sense herself inching closer to the climax and resolution of the story. The characters became like old friends, and the plot twists kept her on the edge of her seat.

Finally, as the sun dipped below the horizon, Sherry turned the last page and completed the final chapter. She had done it. She had finished reading the entire book. The sense of accomplishment washed over her, accompanied by a bittersweet feeling that the journey had come to an end.

Reflecting on her reading experience, Sherry realized that she had initially read 1/3 of the book before retiring for the night. That meant there were still 2/3 of the book left for her to discover on the subsequent day. And indeed, she did just that. She dedicated her time and energy to devouring the remaining 2/3 of the book, leaving no page unturned.

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the main answer is that the mean value of the activity time is 21.67. This is calculated using the formula (optimistic + 4 * most likely + pessimistic) / 6.

To find the mean value of the activity time, we can use the three estimates provided: optimistic, most likely, and pessimistic time.

1. The optimistic time is the shortest possible time for completing the activity, which is 11 units.
2. The most likely time is the time that is most likely to be taken to complete the activity, which is 21 units.
3. The pessimistic time is the longest possible time for completing the activity, which is 35 units.

To calculate the mean value, we can use the following formula:
Mean value = (optimistic + 4 * most likely + pessimistic) / 6

Substituting the given values, we get:
Mean value = (11 + 4 * 21 + 35) / 6

Calculating the numerator first:
11 + 4 * 21 + 35 = 11 + 84 + 35 = 130

Now, we can calculate the mean value:
Mean value = 130 / 6

Dividing 130 by 6, we get:
Mean value = 21.67 (rounded to two decimal places)

Therefore, the mean value of the activity time is 21.67.

the main answer is that the mean value of the activity time is 21.67. This is calculated using the formula (optimistic + 4 * most likely + pessimistic) / 6.

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Answer:

Step-by-step explanation:

1. Simplify the expression

2. Find the greatest common factor of the numerator and denominator ( divide)

(1.50)/ (14.50)

3. Factor out and cancel the greatest common factor

Answer is 1/14

Step-by-step explanation:

everything can be found in the picture