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3 years ago

Write 4 feet to 15 inches as a ratio. Compare in inches. Write the ratio in lowest terms.

1 answer:

8 0

1 ft = 12 inches....so 4 ft = (4 * 12) = 48 inches

ratio is : 48 to 15...or 48/15 or 48:15......which reduces to 16/5 in lowest terms

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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

Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either 4 or 8?

sveticcg [70]

There are 6 numbers on each die.

The total number of out comes is 6 x 6 = 36.

To get a sum of 4, the combinations are: 1 & 3, 2 & 2 or 3 & 1.

To get a sum of 8, the combinations are: 1 & 7, 2 & 6, 3 & 5, 4 & 4, 7 & 1, 6 & 2, 5 & 3

The total of those combinations are: 3 + 7 = 10 total combinations of a sum of either 4 or 8.

The probability of either is 10/36, which can be reduced to 5/18.

8 0

3 years ago

Find the real numbers x and y that make the equation true. (2 points) -3 + yi = x + 6i

stealth61 [152]

Answer:

x = - 3, y = 6

Step-by-step explanation:

For the 2 sides to be equal then the coefficients of the imaginary terms and the real terms must be equal.

Given

- 3 + yi = x + 6i , then

x = - 3 and y = 6

7 0

3 years ago

Which algebraic expression is equivalent to the expression below?

gregori [183]

The correct answer to this problem is be because you have to multiply the 4 outside of the parentheses with the 4 inside of the parentheses which gives you 16X and then afterwards you have to do the same with the 6 with so since 4•6=24 you can automatically eliminate answer choice D and then you add up your 3x to your 16x which will be 19x so it would be B. 19x+24

3 0

3 years ago

Help me please :) .....

Gnom [1K]

Answer:

at + vi = vf

Step-by-step explanation:

In order to solve for vf, we need to isolate said variable.

a = vf - vi/t (Given)

at = vf - vi (Multiply t on both sides)

at + vi = vf (Add vi on both sides)

5 0

3 years ago