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horsena [70]
3 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.
Mathematics
1 answer:
xenn [34]3 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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What type of limacon is graphed by the polar equation r=4+2sinttheta?
sergiy2304 [10]
The type of limacon graphed is a convex.
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3 years ago
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The perimeter of a rectangle is 126 inches. The length is 7 less than 4 times the width. Find the dimensions of the rectangle. P
motikmotik

I hope someone solves your problem :)

8 0
3 years ago
The area of a rectangle is 44m. The height is 11/3m. What is the length?
iogann1982 [59]

Width of the rectangle is 12m

<u>Explanation:</u>

<u></u>

Area of rectangle = 44m

height = \frac{11}{3}m

area of rectangle = length X breadth

44 = \frac{11}{3} X b\\b = 12m

Therefore, width of the rectangle is 12m

4 0
3 years ago
Simplify completely quantity x squared plus 4 x minus 45 all over x squared plus 10 x plus 9 and find the restrictions on the va
Brums [2.3K]

Answer:

A) Quantity x minus 5 over quantity x plus 1, where x≠-1 and x≠-9

Step-by-step explanation:

\frac{x^2 + 4x - 45}{x^2 + 10x + 9}

Simplifying the numerator first:

x² + 4x - 45 using the quadratic formula you get;

(x - 5)(x + 9)

Then simplifying the denominator x² + 10x + 9 using a quadratic formula you get;

(x + 1)(x + 9)

Dividing the numerator and denominator now gives;

\frac{(x - 5)(x + 9)}{(x + 1)(x + 9)}

Cancelling (x + 9) throughout leaves you with;

\frac{x - 5}{x + 1}

The only restrictions here is if x = 1 and 9 which will give an undefined answer.

7 0
4 years ago
Read 2 more answers
Someone help me asap pls​
Makovka662 [10]

Answer:

<u>For the graph in the top-left corner, the ?? = 0.25</u>

This can be found using a simple slope equation:

m = (y2-y1)/(x2-x1)

m = slope

You take two coordinates, in this case (8, 2) and (4, 1), label one as #1 and the other as #2, and plug in the values so:

slope = (2-1)/(8-4)

slope = 1/4 or 0.25

The equation of a line is y = mx + b and if you were to place 0.25, or 1/4, in place of m (the slope) and 1 in the place of x since it is the x value, and multiply, you would end up with 0.25.

This also gives you the answer to your next two questions.

<u>The one in the top-right corner is $0.25 per pencil.</u>

<u>The answer to the question just below it is y = 0.25x.</u>

b in the equation would equal 0 since b is the y-intercept (where the line crosses the y-axis)

As for the last one, you simply have to multiply 30 by each number in the left column since you already know 30 miles are travelled in 1 hour, giving you your rate or the equation of the line, y=x.

<u>The missing values of the table are as follows:</u>

<u>0, 60, 150, 240, 330, 1470</u>

Finally, the last box:

<u>Miles = 30 * hours</u>

<u>y = 30x</u>

8 0
4 years ago
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