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3 years ago

Solve the following equation. Round to the nearest hundredth.

Mathematics

1 answer:

n200080 [17]3 years ago

6 0

Answer:

c P I'm just guessingggg

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A block of ice has a square top and bottom and rectangular sides. At a certain point in

Lilit [14]

Answer:

$\frac{dV}{dt} = 360 \ cm^3/h$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Geometry

Volume of a Rectangular Prism: V = lwh

Calculus

Derivatives

Derivative Notation

Differentiating with respect to time

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h$

Step 2: Differentiate

Rewrite [VRP]: $V = l^2h$
Differentiate [Basic Power Rule]: $\frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}$

Step 3: Solve for Rate

Substitute: $\frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)$
Multiply: $\frac{dV}{dt} = 360 \ cm^3/h$

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

3 0

3 years ago

2 kg of bananas cost $20. How many kilograms of bananas can you get with $40

N76 [4]

Answer:

4kg

Step-by-step explanation:

2kg = 20$

20 x 2 = 40

2 x 2 = 4

6 0

3 years ago

Read 2 more answers

Solve the exponent equation: 4 × 9x -13 × 6x + 9 × 4x = 0

kicyunya [14]

Well x=0

I hope this helps!

4 0

3 years ago

Complete the square x2 – 6x + 8.

scoray [572]

$x^2-6x + 8=x^2-6x+9-1=(x-3)^2-1$

8 0

3 years ago

Read 2 more answers

Select the formula for the xth term of the sequence. 3, 11, 19,

djyliett [7]

Answer:

8n - 15

Step-by-step explanation:

for finding the nth term we need to figure out the difference between the numbers:

3,11,19 = difference of 8

multiples of 8:

8,16,24,32,40...

the nth term would be 8n - 5 because in order to get to 3 from 8, we minus 5

8 0

3 years ago