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3 years ago

I need the answer. Please help.

Mathematics

1 answer:

Marysya12 [62]3 years ago

7 0

Using the Pythagorean theorem:

WY =√(5^2 + 12^2)

WY = √(25 +144)

WY = √169

WY = 13 mm

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A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by V = x2h

Tanya [424]

Answer:

192 cm^3/min

Step-by-step explanation:

Differentiating the volume expression, we get ...

dV/dt = 2xh(dx/dt) +x^2(dh/dt)

We are given that ...

x = 4 cm, dx/dt = 2 cm/min, h = 15 cm, dh/dt = -3 cm/min

Putting these values into the formula for volume rate of change, we get ...

dV/dt = 2(4 cm)(15 cm)(2 cm/min) +(4 cm)^2(-3 cm/min)

= 240 cm^3/min -48 cm^3/min

dV/dt = 192 cm^3/min

8 0

3 years ago

How do you rearrange the formula for the variable indicated:

PSYCHO15rus [73]

Watch closely. I'll try to go slow:

You said v² = 2 g t

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Did you follow that ?

6 0

3 years ago

Sue's ice cream cone has 6 more scoops than Tessa's ice cream cone. Sue's ice cream cone has 9 scoops. How many scoops are on Te

marshall27 [118]

Tessa has 3 scoops on her cone.

9-6=3

5 0

3 years ago

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Find how many gallons it would take to travel 240 miles

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Step-by-step explanation:

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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:

Pre-Algebra

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

Algebra I

Functions
Function Notation
Coordinates (x, y)

Calculus

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:

Step 1: Define

Identify

Point (0, 18)

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

Step 2: Find General Solution

Use integration

[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: $\displaystyle y = \frac{t^2}{16} + C$