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3 years ago

What is the slope of a line that passes thru -14,13) and 7,0)

Mathematics

1 answer:

Archy [21]3 years ago

4 0

0-13/(7+14)= -13/21. is the slope

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A box of cereal states that there are 84 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories a

Tamiku [17]

Answer:

first question is 112, second is 336

Step-by-step explanation:

you only need to do is 84÷3/4=112calories

this is one box of cereal state if you want three

box calories just 3×112

3 0

3 years ago

Write an<br> explicit formula for<br> then<br> th<br> an.<br> term of the sequence 45, 15,5. ....

7nadin3 [17]

Answer:

The sequence above is a geometric sequence

For an nth in a geometric sequence

$u(n) = a {r}^{n - 1}$

where n is the number of terms

a is the first term

r is the common ratio

From the question

a = 45

r = 15 / 45

The explicit formula for the sequence is

U(n) = 45(1/3)^n-1

Hope this helps you

7 0

3 years ago

What is cramers rule.

Jobisdone [24]

Cramer's Rule is a method that uses determinants to solve systems of equations that have the same number of equations as variables

6 0

2 years ago

Find the volume of the cylinder.

Georgia [21]

<h3>Answer:</h3><h3>Exact volume = 32pi</h3><h3>Approximate volume = 100.48</h3>

The approximate volume only applies when pi = 3.14

Use either answer, but not both of course.

===============================================

Work Shown:

V = volume of cylinder

V = pi*r^2*h

V = pi*2^2*8

V = pi*32

V = 32pi .... exact volume in terms of pi

V = 32*3.14

V = 100.48 .... approximate volume when we use pi = 3.14

6 0

2 years ago

In 2016 the United States had a population of about 323 million people and was growing at 0.7 %. Use an explicit exponential mod

ElenaW [278]

Answer:

2047

Step-by-step explanation:

We are given that

Growing rate=0.7%

$\frac{dp}{dt}=\frac{0.7}{100}P$

$\int \frac{dP}{P}=0.007\int dt$

$lnP=0.007t+C$

Using the formula

$\int \frac{dx}{x}=ln x+C$

$P=e^{0.007t+C}=e^{0.007t}\cdot e^C=Ae^{0.007t}$

$e^C=A$

Initially when t=0,P=323 million

Substitute the values

$323 million=A$

$P=323e^{0.007t}$

Now, substitute P=400 million

$400=323e^{0.007t}$

$ln\frac{400}{323}=0.007t$

$ln(1.2384)=0.007t$

$t=\frac{ln(1.2384}{0.007}$

$t=30.5\approx 31 Years$

Year=2016+31=2047

Hence,In 2047 the U.S population will reach 400 million people.

5 0

3 years ago