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2 years ago

15

Write an equation for an exponential growth function where the initial population is 80 and the population quadruples during eac

h time period.

1 answer:

liq [111]2 years ago

6 0

$f(t) = 80(4^t)$

For each time period, each time "t" increases by one, the population will be multiplied by 4.

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Factor this expression completely.<br> 36y2 - 1

shtirl [24]

Answer:

(6y - 1)(6y + 1)

Step-by-step explanation:

To factorize completely, we may adopt the difference of 2 squares approach. The theory states that difference of two square is the product of the difference of the number and the sum of the numbers.

Such that

a² - b² = (a - b) (a + b)

Hence 36y² - 1

= 6²y² - 1²

= (6y)² - 1²

= (6y - 1)(6y + 1)

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3 years ago

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The ratio of pencils to erasers is 4:1. if there are 20 pencils, how many erasers are there?

serious [3.7K]

5 Erasers, 4:1 is equal to 20:5, if you just multiply both numbers by 5

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2 years ago

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On a map, the distance from Akron to Cleveland measures 2 centimeters. What is the actual distance if the scale of the map shows

miss Akunina [59]

2cm x 30km/cm = 60km

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2 years ago

He can run 20 km in 95 minutes. He wants to know how many kilometers he will go if he runs at the same pace for 285 minutes.

DIA [1.3K]

Answer:

60km

Step-by-step explanation:

In 95 mins,he can run is 20km

In 1 min,he can run is 20/95

= 4/19in lowest

Now,

In 285 mins,he can run is=4/19*285

=4*15 in lowest

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2 years ago

Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.

den301095 [7]

Answer:

Here, the coordinates of the given rectangle are (1,2), (3,2), (1,-1) and (3,-1)

In the dilation by the scale factor k with centered at origin,

$(x,y)\rightarrow (kx,ky)$

Thus, If the dilation occurs by the scale factor of 2 with centered at origin,

New coordinates of the Rectangle are,

$(1,2)\rightarrow (2\times 1, 2\times 2)$

$(3,2)\rightarrow (2\times 3, 2\times 2)$

$(1,-1)\rightarrow (2\times 1, 2\times -1)$

$(3,-1)\rightarrow (2\times 3, 2\times -1)$

Thus, the coordinates of new rectangle are,

(2,4), (6,4), (2,-2) and (6,-2)

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2 years ago

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