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2 years ago

5

A bacteria culture contains 100 cells and grows at a rate proportional to its size. After one hour the population has increased

to 480. Find an expression for the number of bacteria after t hours.

1 answer:

xenn [34]2 years ago

7 0

We know it begins at 100. If we use a*b^t, then 100 is our a. 100*b^t. We can now divide 480 by 100. This is 4.8. 4.8 is b. f(t) = 100(4.8)^t

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Jana finished 1/4 of her homework at school and 2/3 of it before dinner how much of her homework has she finished so far

seropon [69]

Answer:

11/12

Step-by-step explanation:

1/4+2/3

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2 years ago

Read 2 more answers

Math graph equation. <br> (Picture.)

vladimir1956 [14]

Answer:

y = -2x + 3 is the required equation

Step-by-step explanation:

From the graph we will get two ordered pairs

If we see that When x=0 then y=3 and when x = 1 then y=1

Now from this we can find the slope of the Graph

So slope of graph = (y2 - y1) / (x2-x1)

=(1-3) / (1-0)

=-2

So

Slope = m = -2

Now the equation is

y = mx + b

We have to find the value of b

as we have two ordered pairs we can take any of it to find the value of b because line passes through those points

taking (0,3) as a point

y= mx + b

put values

3 = -2*(0) + b

so

b=3

Now the equation of the line in this form is

y = mx + b

which is

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5 0

2 years ago

Janet has 3 sweatshirts, 5 t-shirts, and 2 pairs of pants that can be worn together. If each outfit has a sweatshirt, t-shirt, a

RideAnS [48]

Answer:

30 outfits

Step-by-step explanation:

First, come up with all the possibilties for one of the sweatshirts. So...

S11

S12

S21

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Have a wonderful day!

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2 years ago

What is the equation of the line with a slope of 3/4 that goes through the point (4, 1) in slope-intercept form?

Svetach [21]

Answer:

$y=\frac{3}{4}x+-2$

Step-by-step explanation:

We do not have enough information for slope intercept form. But we can use the point-slope formula to find the information. The formula is $y -y_{1} =m(x -x_{1})$ where we substitute a point (x,y) for $(x_{1},y_{1})$ .

We have m=3/4 and (4, 1). We input m and $x_{1} =4\\y_{1}=1$ .

$y-1=\frac{3}{4} (x-4)$

We now simplify the parenthesis and solve for y.

$y-1=\frac{3}{4} (x-4)\\y-1=\frac{3}{4}x+\frac{3}{4} (-4)$

We convert -4 into a fraction with 1 as the denominator.

$y-1=\frac{3}{4}x+\frac{3}{4} (\frac{-4}{1} )\\y-1=\frac{3}{4}x+\frac{-12}{4}\\y-1=\frac{3}{4}x+-3$

We add 1 to both sides to isolate y,

$y-1+1=\frac{3}{4}x+-3+1\\y=\frac{3}{4}x+-2$

This is slope intercept form. The line as slope 3/4 and y-intercept (0,2) or b=2.

4 0

3 years ago