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Ipatiy [6.2K]
3 years ago
11

Mrs.Gomez paid $780 for a new backyard fence. A new gate cost and additional $225. The fencing was a total of 120 feet. What was

the unit cost per foot for the fence?
Mathematics
1 answer:
In-s [12.5K]3 years ago
5 0
I’m not sure what the gate has to do with the problem, but you should just divide 780 by 120 to get 6.5. In other words, each foot costs $6.50.
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Subtract (3x^3+4x^2)-(2x^3+3x^2-x)
insens350 [35]

Answer:

X^3 + x^2 + x

Step-by-step explanation:

First, distribute the negative sign to the numbers in the second parentheses. Then you’ll need to combine like terms.

4 0
2 years ago
Need help on this problem
faust18 [17]

Using an exponential function, it is found that:

  • For Country A, the doubling time is of 43 years.
  • For Country B, the growth rate is of 1.9% per year.

<h3>What is the exponential function for population growth?</h3>

The exponential function for population growth is given as follows:

P(t) = P(0)e^{kt}

In which:

  • P(t) is the population after t years.
  • P(0) is the initial population.
  • k is the exponential growth rate, as a decimal.
  • t is the time in years.

For Country A, we have that k = 0.016. The doubling time is t for which P(t) = 2P(0), hence:

P(t) = P(0)e^{kt}

2P(0) = P(0)e^{0.016t}

e^{0.016t} = 2

\ln{e^{0.016t}} = \ln{2}

0.016t = \ln{2}

t = \frac{\ln{2}}{0.016}

t = 43 years.

For Country B, P(36) = 2P(0), hence we have to solve for k to find the growth rate.

P(t) = P(0)e^{kt}

2P(0) = P(0)e^{36k}

e^{36k} = 2

\ln{e^{36k}} = \ln{2}

36k = \ln{2}

k = \frac{\ln{2}}{36}

k = 0.019.

For Country B, the growth rate is of 1.9% per year.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

3 0
1 year ago
Alex needs to buy compressed air to fill empty cylindrical tanks for his tire store. Each tank is 12 feet deep and has a radius
agasfer [191]
---------------------------------------
Formula
---------------------------------------
Volume = πr²h

---------------------------------------
Find Volume of one tank
---------------------------------------
Volume of 1 tank = πr²h
Volume of 1 tank = 3.14 x 6² x 12
Volume of 1 tank = 678.24 ft³

---------------------------------------
Find Volume of 5 tanks
---------------------------------------
Volume of 1 tank = 678.24
Volume of 5 tanks = 678.24 x 5 
Volume of 5 tanks = 3391.2 ft³

---------------------------------------
Answer: 3391.2 ft³
---------------------------------------

4 0
3 years ago
49767269 x 327686000 - 1029 + 1101 / 32
mars1129 [50]

Answer:

16308037309533006\frac{13}{32}

Step-by-step explanation:

49767269 × 327686000 - 1029 + \frac{1101}{32}

= 16308037309534000 - 1029 + \frac{1101}{32}

= 16308037309532972 + 34\frac{13}{32}

= 16308037309533006\frac{13}{32}

8 0
3 years ago
Yesterday, the price of a loaf of bread at five supermarkets was $1.44, $1.59, $1.69, $1.47, and $1.61, but today each supermark
mote1985 [20]
\frac{1.49+1.64+1.74+1.52+1.66}{5}
=\frac{8.05}{5} =1.61
3 0
2 years ago
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