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3 years ago

If y varies directly as x, find the constant of variation if y= 34 when x= 2

Mathematics

1 answer:

bearhunter [10]3 years ago

7 0

The answer is C

y=kx. where k is a constant
sub y=34,x=2
2k=34
k=17

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Mr. Zero bought a number of gold pieces for $60. He kept 15 of them and sold the rest for $54. He made a profit of $0.10 on each

Reil [10]

Answer:

Step-by-step explanation:

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3 years ago

a windowpane is 5.7 Inches by 7.1 inches. what is the distance between opposite corners of the windowpane? if necessary, round t

nikitadnepr [17]

Answer:

the distance is 9.1 inches (please give brainliest)

Step-by-step explanation:

we must use the pythagorean theorem:

5.7^2 + 7.1^2 = c^2

(c being the distance being the two corners)

c^2 = 82.9

c = sqrt(82.9) ≈ 9.1

7 0

3 years ago

The population of a community, p(x), is modeled by this exponential function, where x represents the number of years since the p

NeX [460]

An exponential model is used to represent growth of a population

The population after 3 years is 2585

The function is given as:

$\mathbf{P(x) = 2400(1.025)^x}$

<em>3 years after</em>, means that x = 3

So, we have:

$\mathbf{P(3) = 2400(1.025)^3}$

Evaluate exponents

$\mathbf{P(3) = 2400 \times 1.076890625}$

$\mathbf{P(3) = 2584.5375}$

Approximate

$\mathbf{P(3) = 2585}$

Hence, the population after 3 years is 2585

Read more about population growth at:

brainly.com/question/3160736

5 0

3 years ago

Simplify the expression.<br> (x 3/2)6

Sliva [168]

For this case we must simplify the following expression:

$(x ^ {\frac {3} {2}}) ^ 6$

We have that by definition of properties of powers that is fulfilled:

$(a ^ n) ^ m = a ^ {n * m}$

Then, rewriting the expression:

$x ^ {\frac {3 * 6} {2}} =\\x ^ {\frac {18} {2}} =\\x ^ 9$

Answer:

$(x^{\frac{3}{2}})^6=x^9$

6 0

3 years ago

Which pair of angles are corresponding angles?

Effectus [21]

Corresponding angles are angles that are the same, and occupy the same relative position.

1 and 2: Incorrect - These are supplementary angles

3 and 5: Incorrect - These are same-side interior angles

2 and 6: Correct - These are corresponding angles

4 and 7: Incorrect - These are alternate interior angles

Hope this helps!! :)

7 0

2 years ago