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topjm [15]
3 years ago
14

the equation y equals 0.25 x describes a proportional relationship between X and Y what is the constant of proportionality

Mathematics
1 answer:
Fittoniya [83]3 years ago
4 0
The constant of proportionality is for every 1 x, there is 0.25 y. y = 0.25, and on a graph, x is always the "1." Since x is worth 1, y must be worth 0.25.
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Nicholas sprints the length of a football field. If a football field measures 100 yards and 1 yard is approximately 0.914 meter,
KatRina [158]

Answer:

91.4 meters

Step-by-step explanation:

From the question:

1 yard = 0.914 meter

100 yards = x meters

x meter = 100 × 0.914 meters

x = 91.4 meters

Therefore, Nicholas sprinted 91.4 meters

8 0
3 years ago
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Car a and b are travelling at 30 and 40 mph. if car b starts out 5 miles behind car 6, how many hours will it take for car b to
Leviafan [203]
As both are moving in the same direction ,both<span> will travel the </span>same distance<span> till catch up time --</span><span>d</span>
4 0
3 years ago
Simplify the expression (2x² + 9) (x² - 7)​
Natali5045456 [20]

Answer:

2x^{4} - 5x² - 63

Step-by-step explanation:

Given

(2x² + 9)(x² - 7)

Each term in the second factor is multiplied by each term in the first factor, that is

2x² (x² - 7) + 9(x² - 7) ← distribute both parenthesis

= 2x^{4} - 14x² + 9x² - 63 ← collect like terms

= 2x^{4} - 5x² - 63

7 0
3 years ago
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use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines abo
sukhopar [10]

Answer:

16π square units.

Step-by-step explanation:

Please refer to the graph below.

So, if we draw a representative rectangle, the width of the rectangle will be (x), and the height of the rectangle at each (x) will be given by f(x) - g(x).

By the shell method:

\displaystyle V=2\pi\int_a^bp(x)h(x)\,dx

We are integrating from x = 0 to x = 2. p(x) is x and h(x) is f(x) - g(x):

\displaystyle V=2\pi\int_0^2(x)((8-x^2)-(x^2))\,dx

Evaluate. Simplify:

\displaystyle V=2\pi \int_0^2(8x-2x^3)\,dx

Hence:

\displaystyle V=2\pi\Big(4x^2-\frac{1}{2}x^4\Big|_{0}^{2}\Big)

Evaluate:

\displaystyle \begin{aligned} V &= 2 \pi \Big[(4(2)^2-\frac{1}{2}(2)^4)-(4(0)^2-\frac{1}{2}(0)^4)\Big]\\ &=2\pi(8) \\&=16\pi\text{ square units} \end{aligned}

7 0
2 years ago
ASAP HELPPP PLEASE ANSWER CORRECT QUESTION!! GIVING OUT BRAINLY Stars!!!
NeTakaya

Using proportions, it is found that due to the smaller division of the exchange rate by the cost, the souvenir would be less expensive in Egypt.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The souvenir would be less expensive in the <u>country in which the division of the exchange rate by the cost is smaller</u>.

In Britain, the cost is of 17, with an exchange rate of 0.83, hence the cost in US dollars is:

c = 17/0.83 = $20.48.

In Egypt, the cost is of 288, with an exchange rate of 18, hence the cost in US dollars is:

c = 288/18 = $16.

16 < 20.48, hence the souvenir would be less expensive in Egypt.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

3 0
2 years ago
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