Need help solving this

Work Shown:

In the numerator, we have 2^2*x^2, which is really just 4x^2. Replace x with 3 and we get 4*x^2 = 4*3^2 = 36.

For the denominator, xy^2, we get

x*y^2 = 3*2^2 = 12

So far we have,

[tex]\frac{2^2x^2}{xy^2} = \frac{4x^2}{xy^2} = \frac{36}{12} = 3\\\\\text{ or simply} \\\\\frac{2^2x^2}{xy^2} = 3[/tex]

when x = 3 and y = 2.

Square both sides to end up with...

[tex]\frac{2^2x^2}{xy^2} = 3\\\\\left(\frac{2^2x^2}{xy^2}\right)^2 = 3^2\\\\\left(\frac{2^2x^2}{xy^2}\right)^2 = 9[/tex]

Answer:4√(13)

Step-by-step explanation:

Adjacent=12

Opposite=8

Hypotenuse=√((adjacent)^2+(opposite)^2)

hypotenuse=√(12^2+8^2)

Hypotenuse=√(12x12+8x8)

Hypotenuse=√(144+64)

Hypotenuse=√(208)

Hypotenuse=√(16x13)

hypotenuse=√(16) x √(13)

Hypotenuse=4 x √(13)

Hypotenuse=4√(13)

Answer:

  b) dV/dt = c * dT/dt

Step-by-step explanation:

Differentiating the equation with respect to time, you have ...

  V = cT

  dV/dt = c·dT/dt . . . . matches choice B

Answer: The answer is 29, because that 29 would be the outlier of the numbers.

Step-by-step explanation:

Explanation:

We assume your question is "why is that name given to these three numbers?"

There are many names in mathematics that are given to sequences or sets of numbers having a particular characteristic. The term "Pythagorean triple" is usually reserved for three positive integers that satisfy the relation "the sum of the squares of the smaller two is equal to the square of the largest."

This relationship exists between the side lengths of a right triangle, which is the point of the Pythagorean theorem. So, integer side lengths of a right triangle constitute a "Pythagorean triple."

_____

If your question is "why do right triangle side lengths have the relationship specified by the Pythagorean theorem?", that demands a different answer. In general, the sides and angles of a triangle obey the Law of Sines and the Law of Cosines.

One of the expressions of the Law of Cosines is ...

  c² = a² +b² -2ab·cos(C)

where C is the angle opposite side c in the triangle. You may recall that the cosine of 90° is zero, so the cosine term in this equation vanishes when angle C is a right angle. The remaining equation is ...

  c² = a² +b²

This is an expression of the Pythagorean theorem, and it is true only for right triangles.

Answer:

it's B

Step-by-step explanation:

because I took the test

Answer:

C.  [tex]\frac{\sqrt{5} }{8}[/tex]

Step-by-step explanation:

This expression can be rewritten as [tex]\frac{\sqrt{5} }{\sqrt{64} }[/tex].

Since the square root of 5 is prime and does not have any perfect square factors, it cannot be simplified. However, the square root of 64 is equal to 8, so our final simplified radical expression would be [tex]\frac{\sqrt{5} }{8}[/tex], which is option C.

HOPE THIS HELPED! :)

Answer:

C is the answer

Step-by-step explanation:

You have to rewrite as [tex]\sqrt{5}[/tex]/[tex]\sqrt{64}[/tex]. Then you have to simplify the denominator which is 8. That is how you get your answer.

Hope this helps.

Answer:

The number of boys are 64.

Step-by-step explanation:

We have,

The ratio of the boy to girl is 8:9.

Total number of girls are 72.

Let total boys are 8x and total girls are 9x.

According to the question,

[tex]9x=72\\\\x=8[/tex]

Since, number of boys are 8x. So,

[tex]B=8x=8\times 8=64[/tex]

So, the number of boys are 64.

Answer:

(-2, 2), (0, 2), (7, 2), (11, 2)

Step-by-step explanation:

A relation must have no repeating x-values for it to be a function.

Set C does not have any repeating x-values, so it is a function.

Sets A, B, and D have repeating x-values, so they are not functions.

A: (0, 0), (2, 3), (2, 5), (6, 6)

B: (3, 5), (8, 4), (10, 11), (10, 6)

D: (13, 2), (13, 3), (13, 4), (13, 5)

Answer:

c

Step-by-step explanation:

hope this helps

Answer: this is the right answer Graph A represents j(x). The y-intercepts for f(x) and g(x) can be 1 and 3. And The rate of change of the sum of f(x) and g(x) is greater than that of either function. your welcome

Step-by-step explanation:

The rate of change of the sum of f(x) and g(x) is greater than that of either function.

From the question, we have the following parameters:

The graphs of the functions are not given;

However, if all the functions are linear functions, then the slopes of the sum of functions f(x) and g(x) could be greater than the slopes of h(x) and j(x)

Hence, the true statement (by observation) is (c)

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Answer:

5

Step-by-step explanation:

The probability of tails is 1/2, so the expected value is (1/2) (10) = 5.

Answer:

5

Step-by-step explanation:

Probability of land a tail when the coin is tossed once is 1/2 because a coin has two sides and contains one head

Then when it is tossed 10 times, the no of time a tail appears is. 1/2 * 10 =5

We have been given that a bicycle wheel has a circumference of 66 inches. We are asked to find the radius of the wheel.

We will use circumference of circle formula to solve our given problem.

[tex]\text{Circumference of circle}=2\pi r[/tex], where r represents radius if circle.

Upon substituting our given values, we will get:

[tex]66=2\cdot 3.14\cdot r[/tex]

[tex]66=6.28\cdot r[/tex]

[tex]6.28\cdot r=66[/tex]

[tex]\frac{6.28\cdot r}{6.28}=\frac{66}{6.28}[/tex]

[tex]r=10.509554[/tex]

Upon rounding to nearest hundredths, we will get:

[tex]r\approx 10.51[/tex]

Therefore, the radius of the wheel is approximately 10.51 inches.

Answer:

well area is the space inside of a shape. so you would multiply 2 by 4 because there are 4 sides.

Step-by-step explanation:

Answer:  area is 10

Step-by-step explanation:

add top and bottom base

8+2=10

then divide by 2

10/2 = 5

then times 5 by 2

5*2=10

8+2/2 * 2 = 10

10 = area

Answer:

⅜ x + ¹/₁₂ sin(6x) + ¹/₉₆ sin(12x) + C

Step-by-step explanation:

∫ cos⁴(3x) dx

Use power reduction formula:

⅛ ∫ (3 + 4cos(6x) + cos(12x)) dx

⅜ ∫ dx + ½ ∫ cos(6x) dx + ⅛ ∫ cos(12x) dx

⅜ ∫ dx + ¹/₁₂ ∫ 6 cos(6x) dx + ¹/₉₆ ∫ 12 cos(12x) dx

⅜ x + ¹/₁₂ sin(6x) + ¹/₉₆ sin(12x) + C

Answer:h=3V/πr^2

Step-by-step explanation:

V=1/3πr^2h

Cross multiply

3V=πr^2h

Divide both sides by πr^2

3V/πr^2=πr^2h/πr^2

3V/πr^2=h

h=3V/πr^2

Answer:

72 ft.

Step-by-step explanation:

12 inches = 1 foot

Answer:

   72 feet

Step-by-step explanation:

math calculator

Answer:

k=5

Step-by-step explanation:

10÷2=5

20÷4=5

and so on

Answer:

The right answer should be 6

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

1+1+1+1 or 2 + 2

Apple exist in the world. This particular tree only have 4 perfect apples total. Because you only have one friend, they help you pick 2 out of the 4 apples. Then you pick 2 of the other apple. Without dropping or eating them, he gave both of his apple to you . How many apple do you have without dropping or eating them?

Answer:

4

Step-by-step explanation:

Answer:

V1  = Base x Height = 43 x 15 = 645 (mm3)

V2 = Base x Height = 12 x 7 = 84 (mm3)

Hope this helps!

:)

Answer:

1) 645 mm³

2) 84 cm³

Step-by-step explanation:

Volume of prism:

Base area × height

1) 43 × 15 = 645 mm³

2) 12 × 7 = 84 cm³

We have been given that on May 22, 1960, an earthquake in Chile measured 9.5 on the Richter scale. On February 27, 2010, another earthquake in Chile measured 8.8 on the Richter scale.

We will use Richter scale formula to compare the intensities of the two earthquakes.

[tex]R=\log(I)[/tex], where

R = Richter scale value,

I = Intensity

Upon substituting our given values, we will get two equations.

[tex]9.5=\log(I_1)...(1)[/tex]

[tex]8.8=\log(I_2)...(2)[/tex]

Upon subtracting equation (2) from equation (1), we will get:

[tex]9.5-8.8=\log(I_1)-\log(I_2)[/tex]

[tex]0.7=\log(I_1)-\log(I_2)[/tex]

Using log property [tex]\log(a)-\log(b)=\log(\frac{a}{b})[/tex], we will get:

[tex]0.7=\log(\frac{I_1}{I_2})[/tex]

[tex]\log(\frac{I_1}{I_2})=0.7[/tex]

[tex]\frac{I_1}{I_2}=10^{0.7}[/tex]

[tex]\frac{I_1}{I_2}=5.011872336[/tex]

Upon rounding our answer to the nearest whole number, we will get:

[tex]\frac{I_1}{I_2}\approx 5[/tex]

Therefore, the earthquake in 1960 had about  5 times the intensity as the earthquake in 2010.

Answer:

The Answer Is "5" On Edge

Step-by-step explanation:

De Nada:)

1 7/10 is equivalent to the improper fraction 17/10

Answer:nth term=a1 - 27n + 27

Step-by-step explanation:

first term =a1

common difference=d=-1-21

d=-27

Using the formula

Tn=a1 + d x (n-1)

nth term=a1 + (-27)(n-1)

nth term=a1 - 27n + 27

Answer:

4500 millimeters

Step-by-step explanation:

4500 millimeters.

hope it helps

Answer:

i think ...

Step-by-step explanation:

symmetric distribution  usually be a bell shape distribution .

most likely the median = mean = 60

The required value of 60 could be the median of the distribution. Option B is correct.

The mean of the values is the ratio of the total sum of values to the number of values.

When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.

Here,
The mean of a symmetric distribution is 60.
Since for the symmetric data and rational data, the mean is equal to the median,
So Mean = Median
Median = 60

Thus, the required value of 60 could be the median of the distribution.

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Answer:

Max will choose the wall hanging that is shaped like a trapezoid.

Step-by-step explanation:

To find the area of the trapezoid, break it into a triangle and another trapezoid. Use the formula for the area of a triangle (A=base*height*1/2) and the formula for the area of a trapezoid (A=base+base*height*1/2). The area of the trapezoid is 672 square centimeters.

To find the area of the kite, break it into two identical triangles. (There's a horizontal line between them.) Use the formula for the area of a triangle for both, then add the two areas. The area of the kite is 648 square centimeters.

Finally, we know that 672>648. Therefore, Max will choose the wall hanging that is shaped like a trapezoid.

Hope this helps! Tell me if you have any other questions:)

Answer:trapezoid

Step-by-step explanation:

Answer:

133 Students

Step-by-step explanation:

Let the number of student in a van=v

Let the number of student in a bus=b

The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students.

Therefore: 12v+14b=796

General High rented and filled 14 vans and 12 buses with 738 students.

Therefore: 14v+12b=738

We solve the two resulting equations simultaneously

12v+14b=796

14v+12b=738

Multiply equation 1 by 12 and equation 2 by 14 to eliminate b

144v+168b=9552

196v+168b=10332

Subtract

-52v=-780

Divide both sides by -52

v=15

We substitute v=15 to obtain b in any of the equations

12v+14b=796

12(15)+14b=796

14b=796-180

14b=616

Divide both sides by 14

b=44

Therefore a bus contains 44 Students and a Van contains 15 students.

Number of Students who would fill 2 buses and 3 vans

=2b+3v

=2(44)+3(15)

=133 Students

Answer  

B. l and lV

Step-by-step explanation:

The pairs of equations will never break even is Cost 35.79 n + 6,700 and Revenue 56.95 n. The correct option is D.

The break-even point is the point at which total cost and total revenue are equal, implying that your small business has no loss or gain.

To find the break-even point, we need to set the cost equation equal to the revenue equation and solve for n:

Cost = Revenue

65.16n + 1,500 = 98.75n   (for equation I)

32.59n = 1,500

n = 46.05

So the break-even point for equation I is 46.05 units.

Cost = Revenue

35.79n + 6,700 = 56.95n   (for equation II)

21.16n = 6,700

n = 316.3

For options (c) and (d), we need to compare the break-even points for equations III and IV with equations II and I, respectively.

Cost = Revenue

65.16n + 1,500 = 56.95n   (for equation IV)

8.21n = -1,500

n = -182.7

The negative value for n means that equation IV does not have a break-even point.

Cost = Revenue

35.79n + 6,700 = 98.75n   (for equation III)

62.96n = 6,700

n = 106.2

The break-even point for equation III is 106.2 units.

Therefore, the pair of equations that will never break even is (d) I and IV.

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Your question seems incomplete, the probable complete question is:

The table below shows possible cost and revenue equations for a manufacturer of cameras.

Cost

65.16 n + 1,500

I

Cost

35.79 n + 6,700

II

Revenue

98.75 n

III

Revenue

56.95 n

IV

Which of the following pairs of equations will never break even?

a. I and III

b. II and IV

c. II and III

d. I and IV

Answer:

The probability that it came from A, given that is defective is 0.362.

Step-by-step explanation:

Define the events:

A: The element comes from A.

B: The element comes from B.

C: The element comes from C.

D: The elemens is defective.

We are given that P(A) = 0.25, P(B) = 0.35, P(C) = 0.4. Recall that since the element comes from only one of the machines, if an element is defective, it comes either from A, B or C. Using the probability axioms, we can calculate that

[tex]P(D) = P(A\cap D) + P(B\cap D) + P(C\cap D)[/tex]

Recall that given events E,F the conditional probability of E given F is defined as

[tex]P(E|F) = \frac{P(E\cap F)}{P(F)}[/tex], from where we deduce that

[tex]P(E\cap F) = P(E|F)P(F)[/tex].

We are given that given that the element is from A, the probability of being defective is 5%. That is P(D|A) =0.05. Using the previous analysis we get that

[tex] P(D) = P(A)P(D|A)+P(B) P(D|B) + P(C)P(D|C) = 0.05\cdot 0.25+0.04\cdot 0.35+0.02\cdot 0.4 = 0.0345[/tex]

We are told to calculate P(A|D), then using the formulas we have

[tex] P(A|D) = \frac{P(A\cap D)}{P(D)}= \frac{P(D|A)P(A)}{P(D)}= \frac{0.05\cdot 0.25}{0.0345}= 0.36231884[/tex]