All categories

3 years ago

Z is inversely proportional to A and if Z=225 when A = 15 find an equation connecting Z and A and the value of A when Z = 75

Mathematics

1 answer:

Wewaii [24]3 years ago

7 0

Answer:

equation connecting them: Z = k 1/A

k being the constant

225 = K * 1/15

K * 1/15 = 225 (flip to solve more easily)

k = 3375

Z = k * 1/A

75 = 3375 * 1/A

75 = 3375/A

A = 45

You might be interested in

Use CALCULUS to find coordinates of the turning point on C.

antiseptic1488 [7]

Oi

Just calculating the differential. Step by step:

$y=12 \sqrt{x} -x \frac{3}{2}-10 \\ \\ y=12x^{ \frac{1}{2} } -x \frac{3}{2}-10 \ \ \ \boxed{transform \ \sqrt{x} =x^{ \frac{1}{2} }} \\ \\ Differentiating \\ \\ y'=12. \frac{1}{2}.x^{ \frac{1}{2}-1 } -1.x^{1-1}. \frac{3}{2}-0 \\ \\ y'=6.x^{ -\frac{1}{2} } -x^{0}. \frac{3}{2} \\ \\ y'=6. \frac{1}{x^{ \frac{1}{2} }} -1. \frac{3}{2} \\ \\ \boxed{y'=\frac{6}{ \sqrt{x} } -\frac{3}{2}}$

If you want to know where the tangent has no slope:

$\frac{6}{ \sqrt{x} } - \frac{3}{2} =0 \\ \\ \frac{6}{ \sqrt{x} } = \frac{3}{2} \\ \\ 3 \sqrt{x} =12 \\ \\ \sqrt{x} = \frac{12}{3} \\ \\ \sqrt{x} =4 \\ \\ (\sqrt{x})^2 =4^2 \\ \\ x=16$

3 0

3 years ago

11pts BTW PLZ HELP ASAP AM NOT TO GOOD AT MATH

dedylja [7]

First, set up the percent proportion, cross multiply and divide. Finally, subtract the answer you get from the original number.
You should get, $1,425.50.

6 0

4 years ago

Read 2 more answers

10. -6 = ? |-31 A. -3 B. -2 C. O D. 2 E. 9

Lelu [443]

Answer:

-3

Step-by-step explanation:

I think it's-3 because it is the closest to a subtraction answer so sorry if I'm wrong

3 0

2 years ago

9 + 4 to the third power x (20-8) / 2 + 6

gizmo_the_mogwai [7]

Answer:

120.25

Step-by-step explanation:

4 to the third power is 64. so 64 + 9 = 83. 20-8 = 18. 6 + 2 = 8.

so 83 + 18 + 8 = 109. so 8 divided by 18 = 2.25. 109 + 9 + 2.25 = 120.25.

5 0

2 years ago

Translate the phrase into a variable expression.

Viktor [21]

"the product of" ⇒ ___ * ___

86 ⇒ 86 . . . . . fills first blank

and

the depth of the river ⇒ d . . . . . fills second blank.

Your expression is

86 * d

4 0

3 years ago