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eimsori [14]
3 years ago
8

Triangle ABC is dilated by a scale factor of 4 to form triangle A′B′C′.

Mathematics
1 answer:
rosijanka [135]3 years ago
3 0
Vertex A' (-8,4)
vertex B' (-12,12)
vertex C' (-4,12)
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In​ 2012, the population of a city was 6.27 million. The exponential growth rate was 1.47​% per year.
Tcecarenko [31]

Answer:

a) a(t)= 6.27e^{0.0147*t}

b) 6.84 million

c) 2028.52

d) 47 years

Step-by-step explanation:

a)Here we know standard exponential growth rate is

a(t)= ae^{k*t}

In this put t=0 and a(t)=6.27 million

thus we get a = 6.27 million

now \frac{da}{dt}=a(t)k

  this is equal to(in 2012)=\frac{1.47}{100}*=0.0147

b)Put t = 6

we get

a(t)= 6.27e^{0.0147*6}

=6.84 million

c) 8 = 6.27e^{0.0147*t}

  take log both sides

we get 16.52 years

d) 2*6.27=6.27e^{0.0147*t}

take log both sides we get 47 years to get double the current population.

3 0
3 years ago
Which equation represents a linear function? (1 point)
Elan Coil [88]

Answer:

Option D

Step-by-step explanation:

' y = 4x − 1'  would graph as a straight line. Therefore, it is a linear equation.

Liner equations are graphed as a straight line, while nonlinear equations are not.

4 0
3 years ago
A 12-ft-by-15-ft rectangular swimming pool has a 3-ft-wide no-slip surface around it. What is the outer perimeter of the no slip
Nataliya [291]
Answer: 74 ft
12+12+15+15= 74
Perimeter is the distance around sometime
7 0
3 years ago
A number cube is rolled 14 times and the results are recorded in the table.
Arlecino [84]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
Lillian has $80 in a savings account. The interest rate is 10%, compounded annually.
arlik [135]
She will have 96.8 dollars in the saving account so she earned 16.8 dollars in interest
If this answered help you then please consider marking it as brainliest to help me level up to expert
5 0
3 years ago
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