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k0ka [10]
3 years ago
5

Dalena has 6.50 liters of cola to bring to the party. Glenn has 3.75 liters of root beer. If Glenn wants to bring the same

Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0

Answer:

A

Step-by-step explanation:

A because you have to subtract 3.75 from 6.50. And that answer would be 2.75. To check your answer you would add 3.75 and 2.75 to get 6.50.

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The birth rate of a population is b(t) = 2300e0.021t people per year and the death rate is d(t)= 1450e0.018t people per year, fi
Cerrena [4.2K]

Answer:

38,674.This area represents the increase in population over a 10-year period.

Step-by-step explanation:

When graphed over the interval 0 ≤ t ≤ 10, the birth rate is more than the death rate. This means the area between the two curves is the amount of births subtract the amount of deaths. This results in an area which means the increase of the population.

The birth rate is graphed in green and the death rate is graphed in blue.

To find the area, take the integral of the difference of the functions:

\int\limits^{10}_0 {2300e^{0.021t} - 1450e^{0.018t} } \, dt \\\\\frac{2300e^{0.021t}}{0.021} -  \frac{1450e^{0.018t}}{0.018} \\\\(\frac{2300e^{0.21}}{0.021} -\frac{1450e^{0.18}}{0.018} ) - (\frac{2300}{0.021}- \frac{1450}{0.018} ) \\\\135117.12 - 96442.51 \\\\38,674

7 0
3 years ago
What is the answer for this algebra question 4(2n-5)=3n+10
miss Akunina [59]
4(2n-5)=3n+10\\\\
8n-20=3n+10\ \ \ |Subtract\ 3n\\\\
5n-20=10\ \ \ Add\ 20\\\\
5n=30\ \ \ |Divide\ by\ 5\\\\
n=\frac{30}{5}=6\\\\Solution\ is\ n=6.
4 0
3 years ago
Read 2 more answers
Consider the following system of equations. -10x2-10y2=-300 5x2+5y2=150 Which statement describes why the system has infinite so
scoundrel [369]

Answer:

The equations represent circles that result in the same graph.

Step-by-step explanation:

we have

-10x^{2}-10y^{2}=-300

Divide by -10 both sides

x^{2}+y^{2}=30 -----> equation A

This is the equation of a circle centered at origin with radius r=\sqrt{30} \ units

and

5x^{2}+5y^{2}=150

Divide by 5 both sides

x^{2}+y^{2}=30 -----> equation B

This is the equation of a circle centered at origin with radius r=\sqrt{30} \ units

equation A and equation B are equal

therefore

The system has infinite solutions, because the equations represent circles that result in the same graph.

4 0
3 years ago
Which set of line segments could create a right triangle?
ser-zykov [4K]

Answer:

15,36,39

Step-by-step explanation:

A right triangle will satisfy Pythagoras Theorem:

c² = a² + b²; where c is the longest side.

8 0
3 years ago
Dylan made $45,765 and Orlando made $34,715. Both boys worked for 6 months. How much more money did Dylan earn than Orlando per
Ymorist [56]

Answer:

$425

Step-by-step explanation:

45,765 divided by 26 equals 1,760.192307692308

34,715 divided by 26 equals 1,335.192307692308

1,760.192307692308-1,335.192307692308=425

5 0
3 years ago
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