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vodka [1.7K]
3 years ago
14

What is the average rate of change of the function

Mathematics
1 answer:
masha68 [24]3 years ago
7 0

Answer:

2

Step-by-step explanation:

The average rate of change is the slope of the linear function f(x)

Given

f(x) = 2x + 8 ← in the form y = mx + c

with slope m = 2

Then average rate of change = 2

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Specific gravity will tell you a fraction of how much
Nikolay [14]

The value 0.92 indicates the relative density of the ice.

Data;

  • Density = 0.92g/ml
  • Specific gravity = 0.92

<h3>Specific Gravity</h3>

Specific gravity of a substance is defined as the relative density of substance. This can be further said to be the ratio between the density of a substance to the density of the reference substance.

mathematically;

relative density = \frac{density of substance}{density of reference}

The value 0.92 indicates the relative density of the ice.

Learn more on specific gravity here;

brainly.com/question/14932758

3 0
2 years ago
The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Solv
Salsk061 [2.6K]

Answer:

(P-2l)/2 =w

Step-by-step explanation:

P = 2l + 2w

Subtract 2l  from each side

P -2l = 2l-2l + 2w

P-2l = 2w

Divide by 2

(P-2l) /2 = 2w/2

(P-2l)/2 =w

3 0
3 years ago
The length of each side of an equilateral triangle is increased by 5 inches, so the perimeter is now 60 inches. Write and solve
AfilCa [17]

Answer:

The original length of each side of the equilateral triangle = x =15 inches

Step-by-step explanation:

Let Original length of side of equilateral triangle = x

If it is increased by 5 inches, the length will become = x+5

Since in equilateral triangle all the ides have same length so,

New Length of side 1 = x+5

New of side 2 = x+5

New Length of side 3 = x+5

Perimeter of triangle = 60 inches

We need to find the value of x

The formula used is: Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3

Putting values in formula and finding x

Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3\\60=x+5+x+5+x+5\\60=3x+15\\60-15=3x\\45=3x\\x=\frac{45}{3}\\x=15

So, the original length of each side of the equilateral triangle = x =15 inches

6 0
3 years ago
Apple uses cheap labor in factories in China to manufacture its cell phones. The probability that a phone is defective is 0.02.
emmasim [6.3K]

Let x be the random variable representing defective phone. Let n be the sample size. Let p be the probability that phone is defective.

Given: n=500, p= 0.02

From given information we know that x is random variable such that p is the probability of success and it is constant for each trial. Sample size n is fixed.

X follows Binomial distribution with parameters n=500 and p=0.02

a). The average number of defective phone

E(x) = n*p = 500 * 0.02 = 10

The average number of defective phones is 10.

b)Probability of getting 5 defective phones.

P(X=5) = (nCx) p^{x}  (1-p)^{n-x}

= (500C5) 0.02^{5}  (1-0.02)^{500-5}

= 0.037

The probability of getting exactly 5 defective is 0.037.

7 0
3 years ago
Mike bought 3 gallons of orange juice to make fruit punch for a party. He used 9 quarts of the orange juice. How many quarts of
valina [46]
3 gallons x 4 qt/gallon = 12 quarts total.
He used 9, so he has 12 qt. - 9 qt. remaining.
3 Quarts remain.
5 0
3 years ago
Read 2 more answers
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