Ask question

Ask question

All categories

grandymaker [24]

3 years ago

8

The equation h=kp describes h, the height of a stack of p pennies. A stack of 15 pennies is 24 millimeters tall. What is the val

ue of k, the constant of variation?

1 answer:

slamgirl [31]3 years ago

8 0

You plug in the values so it would be 24=15k. Divide by 15 on both sides so k=24/15=1.6. :)

You might be interested in

What is the image point of (-8,9)(−8,9) after a translation right 3 units and down 1 unit?

8_murik_8 [283]

Answer:

(-5,8)

Step-by-step explanation:

The left number represents the x-axis, the right one the y-axis. A translation to the right means in the positive direction on the x-axis, which is why we add 3 to -8 which gives us -5. Down on the y-axis is in the negative direction, which means we have to subtract 1 from 9, giving us 8.

3 0

3 years ago

Read 2 more answers

Find the function y = f(t) passing through the point (0, 18) with the given first derivative.

monitta

Answer:

$\displaystyle y = \frac{t^2}{16} + 18$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

<u>Algebra I</u>

Functions
Function Notation
Coordinates (x, y)

<u>Calculus</u>

Derivatives

Derivative Notation

Antiderivatives - Integrals

Integration Constant C

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (0, 18)

$\displaystyle \frac{dy}{dt} = \frac{1}{8} t$

<u>Step 2: Find General Solution</u>

<em>Use integration</em>

[Derivative] Rewrite: $\displaystyle dy = \frac{1}{8} t\ dt$
[Equality Property] Integrate both sides: $\displaystyle \int dy = \int {\frac{1}{8} t} \, dt$
[Left Integral] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle y = \int {\frac{1}{8} t} \, dt$
[Right Integral] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle y = \frac{1}{8}\int {t} \, dt$
[Right Integral] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle y = \frac{1}{8}(\frac{t^2}{2}) + C$
Multiply: $\displaystyle y = \frac{t^2}{16} + C$

<u>Step 3: Find Particular Solution</u>

Substitute in point [Function]: $\displaystyle 18 = \frac{0^2}{16} + C$
Simplify: $\displaystyle 18 = 0 + C$
Add: $\displaystyle 18 = C$
Rewrite: $\displaystyle C = 18$
Substitute in <em>C</em> [Function]: $\displaystyle y = \frac{t^2}{16} + 18$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integration

Book: College Calculus 10e

4 0

2 years ago

How many triangles can be constructed with three angles, each measuring 64°?<br><br> 10 POINTS

LUCKY_DIMON [66]

Answer:

<u><em>NONE</em></u>

Step-by-step explanation:

The answer is none. This is because angles in a triangle must add up to 180°, so if you have three angles that are 64° the total would be 192°. I hope this helps!

4 0

3 years ago

Pls help me calculate the inverse of y equals 2x over x-7

NeTakaya

Y = 2x/x-7

x = 2y/y-7

xy - 7x = 2y

-7x = 2y - xy

-7x = y(2-x)

y = -7x / 2-x

y = 7x / x-2

f-¹(x) = 7x / x-2

5 0

3 years ago

A hummer gets 300 miles on 20 gallons of gas how many on 50 gallons of gas

bija089 [108]

｡☆✼★ ━━━━━━━━━━━━━━ ☾

300/2 = 150

150 x 5 = 750

It would be 750 gallons.

Have A Nice Day ❤

Stay Brainly! ヅ

- Ally ✧

｡☆✼★ ━━━━━━━━━━━━━━ ☾

5 0

3 years ago