Factor 60x−8460x−84 using the GCF.

4 pounds of grapes cost $11.52. what is the unit rate?

Zepler [3.9K]

Answer: 2.88/1

Step-by-step explanation:

3 0

3 years ago

The volume of a sphere can be found using the formula V = πr . If the sphere has a diameter of 10x y z mm, what is the volume of

viva [34]

Answer:

Step-by-step explanation:

Volume of a sphere = 4πr³

r is the radius of the sphere

Given

Diameter of the sphere = 10xyz mm

Radius = diameter/2

Radius = 10xyz/2

Radius = 5xyz

Substitute the radius into the formula

Volume of the sphere = 4π(5xyz)³

Volume of the sphere = = 4π(125)x³y³z³

Volume of the sphere = 500πx³y³z³

<em>Hence the volume of the sphere is 500πx³y³z³ mm³</em>

8 0

3 years ago

Diane has 386 coins in her coin collection. There are a total of 112 nickels and 61 dimes in her collection the remaining coins

Dafna1 [17]

Diane has 380 coins (rounded to the nearest 10)

7 0

3 years ago

The population of a small town can be modeled by the equation where t is the number of years since the collection of the populat

liberstina [14]

The true statements is the population was 4800 when the collection of data began. (3rd option)

<h3>What is an exponential function?</h3>

An exponential equation can be described as an equation with exponents. The exponent is usually a variable.

The general form of exponential equation is f(x) = $e^{x}$

Where:

x = the variable
e = constant

When a population grows at an exponential rate, it usually has compound rate of growth. Compound growth refers to the geometric progression of a variable.

The exponential equation used to represent an exponential growth usually have this form:

FV = PV (1 + r)^n

Where:

FV = future population
PV = present population
r = rate of growth
n = number of years

Given this exponential equation : f(x) = 4800 (1.02)^t

4800 = initial population or population when the data collection began
2 % = rate of growth
t = number of years

To learn more about exponential functions, please check: brainly.com/question/26331578

#SPJ1

7 0

2 years ago

A car painting company has determined that the painting time of cars is uniformly distributed between 25 and 105 minutes. What i

Masteriza [31]

Answer:

$P=\frac{5}{16}$

Step-by-step explanation:

For a uniform distribution we have to:

$P (X\leq x) =\frac{x-a}{b-a}$ for x∈ (a, b)

$P (X\leq x) =0}$ for $x\leq a$

$P (X\leq x) =1}$ for $x\geq b$

In this case we have to:

a = 25 min and b = 105 min

We want to find:

$P (40 \leq X \leq 65)$

Then

$P (x_1 \leq X \leq x_2) = P(X \leq x_2) - P(X \leq x_1)$

$P (x_1 \leq X \leq x_2)= \frac{x_2 -x_1}{b-a}$

In this case:

$x_2 = 65\\\\x_1=40$

Therefore:

$P (40 \leq X \leq 65)=\frac{65 -40}{105-25}$

$P (40 \leq X \leq 65)=\frac{25}{80}$

$P (40 \leq X \leq 65)=\frac{5}{16}$

4 0

3 years ago