G f = h Solve the equation for f

Answer:

18

Step-by-step explanation:

A direct proportion can be defined as the relationship between two (2) variables that has a constant value (k) for their ratio.

Mathematically, direct proportion is given by the formula;

y = kx

Where;

y and x represents the two (2) variables.

k is the constant of proportionality.

Since we know that, y varies directly has x

when y = 3 and x =2

Substituting into the equation, we have;

3 = k*2

k = 3/2

k = 1.5

Now to find y, when x = 12

y = 1.5*12

y = 18

Answer:

I'm not completing sure (maybe a)

Step-by-step explanation:

Answer:

How much is 80 out of 100 written as a percentage? Convert fraction (ratio) 80 / 100 Answer: 80%

Step-by-step explanation:

Answer:

80%?

Step-by-step explanation:

is that what your asking?

The volume of the box is 432 cubic inches

From the question, we have the following parameters that can be used in our computation:

The volume of the box is calculated as

Volume = Number of cubes * Volume of each cube

Where

Volume of each cube = 1 * 1 * 1

Volume of each cube = 1

Substitute the known values in the above equation, so, we have the following representation

Volume = 432 * 1

Evaluate

Volume = 432

Hence, the volume of the box is 432 cubic inches

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Answer:

No solution

Step-by-step explanation:

Solving inequalities is similar to solving equations. First let's distribute the 3 with (k-9)

\(3(k - 9) > 3k + 6\)

\(3k - 27 > 3k + 6\)

(Subtract 3k from both sides)

\( - 27 > 6\)

\( - 33 > 0\)

(Subtract 6 from both sides. You can also add 27 to both sides. You will get the same answer.)

This inequality is invalid. There are no values of k that make the inequality true.

Answer:

No solution

Step-by-step explanation:

Answer:

A) y=2x+12. ( replace y with 5x) ➡️ 5x=2x+12 y=5x 5x-2x=12

➡️ 3x=12

3x/3=12/3

x=4

B) y=5x

y=5×4

y=20

sorry if I am wrong

Answer:

-53/4

Step-by-step explanation:

=-4+1/4-9+1/2

=-16+1-36+2/4

=-53/4

The correct answer is 2) The mean of the population will most likely not be less than 20 years.

When calculating a confidence interval for a population parameter, we use a sample statistic to estimate the true population parameter. In this case, the sample mean age of the motorcyclists who died in crashes is used to estimate the population mean age of all motorcyclists who die in crashes.

The confidence interval tells us the range of values that is likely to contain the true population parameter with a certain degree of confidence. In this case, we can say with 90% confidence that the true population mean age of motorcyclists who die in crashes is between 23.7 years and 37.3 years.

Since the lower limit of the confidence interval is 23.7 years, we can conclude that it is unlikely that the true population mean age is less than 20 years. However, we cannot say for certain that the mean is not less than 20 years, as there is always some degree of uncertainty when estimating population parameters from sample data.

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Answer:

The first one

Step-by-step explanation:

You can see the pattern

Option D is the correct response, and it is false to say that it is always necessary to use the Pythagorean Theorem when finding the distance between two points on a coordinate plane.

What is Pythagorean theorem?

The Pythagorean theorem is a fundamental concept in mathematics that relates to the lengths of the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

The correct response is D) false; If the two points create a horizontal or vertical line segment, the Pythagorean Theorem is not needed.

When finding the distance between two points on a coordinate plane, the Pythagorean Theorem is used to calculate the distance only when the two points do not create a horizontal or vertical line segment.

If the two points create a horizontal line segment, then the distance between the two points is simply the difference between their x-coordinates. If the two points create a vertical line segment, then the distance between the two points is simply the difference between their y-coordinates. In both cases, the Pythagorean Theorem is not needed.

Therefore, option D is the correct response, and it is false to say that it is always necessary to use the Pythagorean Theorem when finding the distance between two points on a coordinate plane.

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Answer:

1. y = -0.75x + 2

2. y = -1.8x - 7

3. y = -3x + 3

4. y = -11/7x + 56

5. y = -0.6x + 3

6. y = -2x - 14

7. y = 14x + 7

8. y = 2/8x - 4/3

9. y = x - 6

10. y = -1/3x + 4

Step-by-step explanation:

Question 1

3x + 4y = 8

4y = -3x + 8

y = -0.75x + 2

Question 2

9x + 35 = -5y

5y = -9x - 35

y = -1.8x - 7

Question 3

2y - 6 = -6x

2y = -6x + 6

y = -3x + 3

Question 4

-11x - 7y = -56

7y = -11x + 56

y = -11/7x + 56

Question 5

5y/3 = -(x - 5)

5y = -3(x - 5)

5y = -3x + 15

y = -0.6x + 3

Question 6

-2(2x + y) = 28

-4x - 2y = 28

2y = -4x - 28

y = -2x - 14

Question 7

-14x + y = 7

y = 14x + 7

Question 8

12y = (8x - 48)/3

36y = 8x - 48

y = 2/8x - 4/3

Question 9

(3x - 3y)/2 = 9

3x - 3y = 18

3y = 3x - 18

y = x - 6

Question 10

2x/3 + 4(y - 2) = 0

2x/3 + 2y - 8 = 0

2y - 8 = -2x/3

3(2y - 8) = -2x

6y - 24 = -2x

6y = -2x + 24

y = -1/3x + 4

Hope this helped! If not please let me know! <3

Answer:

D. They never intersect

Step-by-step explanation:

You didnt give the sizes of the ribbon so let me help you out. You have to divide the size by total cost, bringing you to the cost per one whatever unit you are using.

Answer:

\(A=65 inches^2\)

Step-by-step explanation:

From the question we are told that:

Length of wiper \(x=18\)

Length of blade \(y=12\)

Angle\(\theta=130\textdegree\)

Generally the equation for Cover Area windshield wiper A_w  is mathematically given by

 \(A_w=x^2*\frac{\theta}{360}\)

 \(A_w=18^2*\frac{130}{360}\)

 \(A_w=117 \textdegree\)

Generally the equation for Cover Area windshield blade A_b  is mathematically given by

 \(A_b=y^2*\frac{\theta}{360}\)

 \(A_b=12^2*\frac{130}{360}\)

 \(A_b=52 \textdegree\)

Therefore total Area wiped by windshield wiper A

 \(A=A_w-A_b\)

 \(A=65 inches^2\)

The width of the footpath is approximately 21.21 feet.To find the width of the footpath, we need to determine the difference in radii between the pool and the footpath.

The equation x^2 + y^2 = 2,500 represents the outside edge of the pool, which is a circle. The general equation for a circle is x^2 + y^2 = r^2, where r is the radius. In this case, the radius of the pool is √2,500 or 50 feet.Similarly, the equation x^2 + y^2 = 3,422.25 represents the outside edge of the footpath, which is also a circle. The radius of the footpath is √3,422.25 or approximately 58.50 feet.The width of the footpath can be determined by calculating the difference in radii between the pool and the footpath:Width of footpath = Radius of footpath - Radius of pool = 58.50 - 50 = 8.50 feet Therefore, the width of the footpath is approximately 8.50 feet. Alternatively, we can find the width of the footpath by subtracting the square roots of the two equations: Width of footpath

\(= √(3,422.25) - √(2,500)\\≈ 58.50 - 50\\= 8.50 feet\)

Both methods yield the same result. In summary, to find the width of the footpath, we calculate the difference in radii between the pool and the footpath. By subtracting the radius of the pool from the radius of the footpath, we determine that the width of the footpath is approximately 8.50 feet.

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Answer:

A. 49 × 2401  = 117649

B. 16807 ÷ 343 = 49

C. 343² = 117649

Step-by-step explanation:

A. 49 × 2401 = 7² × 7⁴ = 7⁶ = 117649

B. 16807 ÷ 343 = 7⁵ ÷ 7³ = 7² = 49

C. 343² = (7³)² = 7⁶ = 117649

hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა

⊱┈────────────────────────┈⊰

\(\huge{ \rm{Answer:}}\)

\( \boxed{\underline{\huge{\tt{\orange{\: \: a \: = 117649\: \: }}}}}\)

\( \boxed{\underline{\huge{\tt{\orange{\: \: b = 49 \: \: }}}}}\)

\( \boxed{\underline{\huge{\tt{\orange{\: \: c \: = \:117649 \: \: }}}}}\)

Step-by-step explanation:

A. 49 × 2401 = 117649

B. 6807divided by343

C. 343 raise to the power 2

Answer:

43.98

Step-by-step explanation:

2piR

BTW the 7 is the radius not the diameter

Part A: In this situation, a Type II error would take place if the council failed to reject the null hypothesis even if it was untrue (i.e., less than 40% of children under the age of 5 could pass a swim test).

If the researcher does not reject a null hypothesis that is actually wrong in the population, this is known as a type II error (false-negative). Notwithstanding the fact that type I and type II mistakes cannot be completely prevented, the researcher can lessen their risk by increasing the sample size.

from the question:

Part A: In this situation, a Type II error would take place if the council failed to reject the null hypothesis even if it was untrue (i.e., less than 40% of children under the age of 5 could pass a swim test). This would result in a lost chance to provide these kids with more swim safety training, perhaps placing them in danger of drowning or other swimming-related mishaps.

Part B: We are unable to reject the null hypothesis since the p-value (0.8438) exceeds the significance level (0.05). This indicates that there is insufficient information to draw the conclusion that less than 40% of children under the age of five can pass a swim test. But, since the test only looked at the alternative hypothesis that the fraction is less than 40%, we cannot draw the conclusion that it is exactly 40%.

Part C: One possible defect in the study is the use of a volunteer sample. The children who volunteered to take the swimming test may not be representative of the entire population of children under 5 in Bloomburg City. For example, parents who are more concerned about their children's swimming abilities may be more likely to volunteer their children for the test, leading to a biased sample. To obtain a more representative sample, a random sample of children under 5 could be selected from the population and asked to take the swimming test.

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Answer:

2/3 inch

Step-by-step explanation:

12 divided by 8

Answer:

250

Step-by-step explanation:

He tutored for 25 hours with each our 10 dollars = 25x10= 250

Infinitely many position vectors with length 2 in xyz-space are orthogonal to the nonzero position vector v. (D)

A position vector in xyz-space is a vector that starts at the origin and ends at a point in xyz-space. The length of a position vector is the distance from the origin to the point it ends at.

If we want to find position vectors with length 2 that are orthogonal (perpendicular) to a given nonzero position vector v, we can use the dot product.

Let w be a position vector with length 2 that is orthogonal to v. Then, the dot product of v and w must be zero, since they are orthogonal. That is, v · w = 0. Since the length of w is 2, we can write w as 2u for some unit vector u. Thus, v · w = v · (2u) = 2(v · u) = 0.

This means that v and u are orthogonal as well, since the dot product of two vectors is zero if and only if they are orthogonal.

There are infinitely many unit vectors u that are orthogonal to v, and therefore, there are infinitely many position vectors with length 2 that are orthogonal to v. Therefore, the answer is (d) infinitely many.

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Answer:

No, it's wrong

\( {x}^{2} - 8x - 9 = 0 \\ (x - 9)(x + 1) = 0 \\ x = 9 \: and \: - 1\)

Answer:

Step-by-step explanation:

Answer:

The correct answer is D.

Step-by-step explanation:

You got it!

Step-by-step explanation:

\(standard \: form \: \rightarrow \: slope - intercept \: form.\)

Slope-intercept form:

\(y = mx + b\)

Key:

m = slope.

m = slope.b = y-intercept.

How to solve?

Simplify the standard form equation algebraically.

Our equation:

\(y - 5 = 3(x - 1)\)

Use the Distributive Property:

\(y - 5 = 3x - 3\)

Add 5 to both sides of the equation:

\(y = 3x + 2\)

Therefore,

\(y = 3x + 2 \: is \: your \: slope - intercept \: form \: equation.\)

Answer:

Step-by-step explanation:

The area of a circle is pi times the radius squared (A = π r²).

Answer:

A, B, D, E

Step-by-step explanation:

The third side of any triangle must be shorter than the other two combined. Thus, answer B and F are incorrect. All the other answers are correct.

Hope this helps.

The Tribonacci sequence is defined as follows:

T_1 = T_2 = T_3 = 1

T_n = T_{n-1} + T_{n-2} + T_{n-3} for n ≥ 4.

To prove that T_n < 2^n for all n ∈ N, we will use mathematical induction.

Step 1: Base case

Let's first verify the inequality for the base cases n = 1, 2, and 3:

T_1 = T_2 = T_3 = 1, and 2^1 = 2, which satisfies T_n < 2^n.

Step 2: Inductive hypothesis

Assume that the inequality holds true for some arbitrary positive integer k, i.e., T_k < 2^k.

Step 3: Inductive step

We need to prove that the inequality holds for k+1, i.e., T_{k+1} < 2^{k+1}.

Using the definition of the Tribonacci sequence, we have:

T_{k+1} = T_k + T_{k-1} + T_{k-2}

Now, let's express each term in terms of T_n:

T_k = T_{k-1} + T_{k-2} + T_{k-3}

T_{k-1} = T_{k-2} + T_{k-3} + T_{k-4}

T_{k-2} = T_{k-3} + T_{k-4} + T_{k-5}

Substituting these expressions into T_{k+1}, we get:

T_{k+1} = (T_{k-1} + T_{k-2} + T_{k-3}) + (T_{k-2} + T_{k-3} + T_{k-4}) + (T_{k-3} + T_{k-4} + T_{k-5})

       = 2(T_{k-1} + T_{k-2} + T_{k-3}) + (T_{k-4} + T_{k-5})

Now, using the inductive hypothesis, we can replace T_k, T_{k-1}, and T_{k-2} with 2^{k-1}, 2^{k-2}, and 2^{k-3} respectively:

T_{k+1} < 2(2^{k-1} + 2^{k-2} + 2^{k-3}) + (T_{k-4} + T_{k-5})

        = 2^k + 2^{k-1} + 2^{k-2} + T_{k-4} + T_{k-5}

        < 2^k + 2^k + 2^k + 2^k + 2^k     (by the inductive hypothesis)

        = 5(2^k)

Since 5 < 2^k for all positive integers k, we have:

T_{k+1} < 5(2^k)

Step 4: Conclusion

We have shown that if the inequality holds for k, then it also holds for k+1. Since it holds for the base cases (n = 1, 2, 3), it holds for all positive integers n by the principle of mathematical induction.

Therefore, we can conclude that T_n < 2^n for all n ∈ N.

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Actually Welcome to the Concept of the Similarities.

Since here, first figure is a Triangle, hence similarity of a triangle is given by ratio of it sides and make them equate,

hence for,

1.) 16/12 = x/9 ===> 4/3 = x/9 ===> x = 9*4/3 ==> x = 36/3

hence the value of x is 12 , ===> x = 12 .

2.) here,in the case of a Reactangle the relation is such that, length = 2* breadth,

hence we apply the relation,

x = 2*4.5 ===> x = 9 units.