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den301095 [7]
2 years ago
12

NO LINKS!! Explain your answer (show the support by showing the changes in x and y on your table). If the relationship is linear

, inverse or exponential, write the equation. #9
​

Mathematics
2 answers:
masya89 [10]2 years ago
7 0

Answer:

<u>Linear relationship</u>: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.

<u>Inverse relationship</u>:  the value of one variable decreases as the value of the other variable increases.

<u>Exponential relationship</u>: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)

<u>Question 5</u>

As the x-value increases (by one unit), the y-value decreases.

Therefore, this is an inverse relationship.

The y-values can be calculated by dividing 25 by the x-value.

\sf y=\dfrac{25}{x}

ivolga24 [154]2 years ago
4 0

Answer:

  • relationship: inverse
  • equation: y = 25/x

Step-by-step explanation:

You are correct that the relationship is inverse, and that the product of x and y is a constant, 25.

__

The equation should be written so that y is a function of x:

  \boxed{y=\dfrac{25}{x}}

The x in the denominator clearly shows that y is proportional to the inverse of x.

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3. A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round
Mariana [72]

The volume of the prop is calculated to be 2,712.96 cubic inches.

<u>Step-by-step explanation:</u>

Step 1:

The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying  \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 9 inches and the height is 14 inches.

The volume of the cone :  V=\pi r^{2} \frac{h}{3} = 3.14 \times 9^{2} \times \frac{14}{3} = 1,186.92 cubic inches.

Step 3:

The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying  \frac{4}{3} with π and the cube of the radius (r³).

Here the radius is 9 inches. We take π as 3.14.

The volume of a full sphere =  V=\frac{4}{3} \pi r^{3} =  \frac{4}{3} \times 3.14 \times 9^{3} = 3,052.08 cubic inches.

The volume of the half-sphere =  \frac{3,052.08}{2} = 1,526.04 cubic inches.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume = 1,186.92 + 1,526.04 = 2,712.96 cubic inches.

5 0
3 years ago
What is 1/2b^2-b in factored form ?
slega [8]
B(1/2b-1)................


3 0
2 years ago
Three adults and four children must pay $94 for their tickets
Sliva [168]
13.42 dollars EACH if all the tickets cost the same
8 0
2 years ago
Solve for x. 78(−32−48x)+36=23(−33x−18)−10x Enter your answer in the box. x =
Nina [5.8K]

Answer:

x=-0.688

Step-by-step explanation:

-2496-3744x+36 = -759x-414-10x

-2460-3744x = -769x-414

-2975x = 2046

5 0
2 years ago
Two lines that have the same y intercept, are always the same line. <br><br> TRUE OR FALSE?
Vadim26 [7]
False, they could have different slopes.
8 0
2 years ago
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