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3 years ago

If a population of 100 cells triples every hour, which function represents p(t), the population after t hours?

1 answer:

6 0

Exponential functions are in the form $f(x)=a*b^x$ , where a is the initial value, b is the growth rate (percent increase) + 1, and x is the number of time periods. Our initial value is 100, and we're given the growth rate + 1 (tripling is the same as increasing by 200%; 200%=2.0; 2.0+1=3). Therefore our function is $p(t)=100*3^t$ .

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What is the equation for the line that passes through coordinates: (2,7

Agata [3.3K]

Answer:

Y=3x+1

Step-by-step explanation:

1-7/0-2=-6//-2=3

y=3x

3x x 2 = 6-7= -1

y=3x-(-1)

5 0

3 years ago

Match the phenomenal expression on the left with the simplified version on the right

nalin [4]

Given the polynomial expression:

(y + 5)²

(y - 5)(y + 5)

Let's simplify each of the given expression:

a.) (y + 5)²

The given equation is a factor of a perfect square trinomial. For this type of expression, the following is the formula for expanding it.

$\text{ (a+b)}^2\text{ = }a^2\text{ + 2ab + }b^2$

We get,

$\mleft(y+5\mright)^2=(y)^2+2(y)(5)+(5)^2$ $(y+5)^2=y^2+10y+25$

b.) (y - 5)(y + 5)

To be able to simplify the following expression. We will be using the formula for the difference of two squares.

$(a+b)(a-b)=a^2-b^2$

We get,

$\mleft(y-5\mright)\mleft(y+5\mright)=(y)^2-(5)^2$ $(y-5)(y+5)=y^2-25^{}$

8 0

1 year ago

Jessica opened a bank account that earns 2 percent interest compounded annually. Her initial deposit was $100, and she uses the

klasskru [66]

Answer:

x = 1.02.

Step-by-step explanation:

The x is a factor worked out from the annual interest written as a decimal fraction.

So we have 2% = 2/100 = 0.02.

The amount at the end of the first year is $100 + 0.02*100

= $100* 1.02, and in the second year it will be $100* 1.02^t where t = 2 and so on.

So we see that x in the given expression is 1.02.

5 0

3 years ago

the combined area of two squares is 45 square centimetres each side is twice as long as a side of the other square what length o

Ostrovityanka [42]

Answer:

Let the side of one square be x. Area = x*x = x²

Then the side of other square would be 2x , Area = 2x*2x = 4x²

Combined area = x² + 4x² = 5x²

This combined area = 45 cm²

you simplify

Therefore 5x² = 45 Divide both sides by 5

x² = 45/5

x² = 9 Take square root of both sides

x = √9

x = 3

Length of larger square is 2x = 2*3 = 6 cm

Length of larger square = 6cm

Step-by-step explanation:

4 0

2 years ago

In the figure, x ∥ y and a is a transversal that crosses the parallel lines.

Dominik [7]

Here, exterior angles are 1, 2, 7 & 8 as they are outside the parallel lines, & among them, alternates are: 1 with 7 and 2 & 8. 1 & 7 is not in option but 2 and 8 is there in C

In short, Your Answer would be Option C

Hope this helps!

8 0

3 years ago