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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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10q-30 is equivalent to what ?

butalik [34]

Answer:

10(q-3)

last option

please brainliest me btw

Step-by-step explanation:

The expression states 10q-30

The GCF is 10 (30 GCF by 10 Is 10)

Factor out 10

After, divide all the terms by 10

10 (10q/10) - 30/10

Simplify this and we get

10(q-3)

so in conclusion, it is the last option.

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2 years ago

Which table represents a linear function?

AlladinOne [14]

The rate of change for the function on the table is; 15 grapes eaten per minute.

<h3>What is the rate of change of the function described by the table?</h3>

It follows from the complete question that the table given indicates that;

after 1min, 15 grapes had been eaten,

after the next minute, 30 grapes had eaten,

after the 3rd minute, 45 grapes had already been eaten.

On this note, it is conclusive that the rate of change of the function represented by the table is; 15 grapes eaten per minute.

Read more on rate of change;

brainly.com/question/7220852

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1 year ago

What is the volume of three cubes, each with a side length of 1/3 foot? V = s3, where s is the side length.

marta [7]

1/3 of a foot = 4 inches
(4^3)*3=
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8 0

2 years ago

Rewrite the definition “All rectangles are parallelograms” in biconditional form.

harkovskaia [24]

In logic, a biconditional<span> is a compound </span>statement<span> formed by combining two conditionals under "and." Biconditionals are true when both </span>statements<span> (facts) have the exact same truth value.

It could help you transform the statement into biconditional form.

I hope my answer has come to your help. God bless you and have a nice day ahead!

</span>

5 0

2 years ago

Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equati

Scrat [10]

The statement that describes better about function is "Both functions are increasing, but function g increases at a faster average rate." since option (c) is correct.

Given the table

x f(x)

-2 -46

-1 -22

0 -10

1 -4

2 -1

We have to choose which statement describes better about function

Let us assume $f(x)=ab^x+c$

at x=0, f(0)=-10

So, -10 =a+c

Similarly, by satisfying the above table in the f(x)

$f(x)=\frac{33}{5} (\frac{1}{11})^x-\frac{17}{5}$

$f'(x) > 0$

So we can say that f(x) is an increasing function.

$g(x) = - 18 (\frac{1}{3} )^ x + 2$

$g^ \prime (x) = - 18 (\frac{1}{3} )^ x ln(1/3)$

ln(1/3) < 0

So, g^ \prime (x) > 0

So, g(x) is an increasing function.

For any x∈f(x) and x∈g(x) $g'(x) > f'(x)$

So, g increases at a faster average rate

Thus, Both functions are increasing, but function g increases at a faster average rate.

Learn more about increasing functions here: brainly.com/question/12940982

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7 0

1 year ago