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fiasKO [112]
3 years ago
10

A car traveled 36 miles in 45 minutes.the car traveled at a constant speed.if the car continues to travel at this rate,which equ

ation can be used to determine y,the total number of miles the car will travel,in x hours
Mathematics
1 answer:
kifflom [539]3 years ago
7 0

Car traveled 36 miles in 45 minutes the car

Car traveled

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A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium d
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Answer:

Step-by-step explanation:

Given that,

Cells are divided into two cell every 20mins, this implies that the half-life is 20mins

Initial population growth is 60cells

Growth rate r?

Population growth is modeled as

P(t) = Po•exp(rt)

Where,

Po is the initial growth at t= 0

Po= 60

P(t) is population at any time t.

Since the population doubles every 20mins(⅓hr)

Then, P(⅓) = 2×60 =120

Then, P(t) = 120cells

So, applying the formula

P(t) = Po•exp(rt)

120 = 60•exp(⅓r)

120/60 = exp(r/3)

2 = exp(r/3)

Take In of both sides

In(2) = r/3

Cross multiply

r = 3In(2)

r = 2.079 /hour

The growth rate is 2.079/hour.

7 0
3 years ago
Can someone help me with this please
11Alexandr11 [23.1K]

Answer:

I have no clue

Step-by-step explanation:

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4 0
3 years ago
What is the midpoint of this segment??
Korvikt [17]

Answer:

A) 6,3

Why?

The midpoint, which is somewhat self-explanatory thanks to its name, is a point in the center of a line.

To answer this question properly, you need to analyze the line and assess the situation.

How did it go from x = 2 to x = 10? Let's see, if we count by two's across the line, you'll notice it makes more sense. So now we know that every square goes up by two. x = 6 is the exact center of the line.

I hope this wasn't confusing, it's tough to explain it!

3 0
3 years ago
Read 2 more answers
Is the function given by, f(x)={3x-2 if x≤3 , 10-x if x>3} continuous at x = 3?
Darya [45]
<h2>Answer:</h2>

yes

<h3>Step-by-step explanation:</h3>

This is a piecewise-defined function because it is defined by two or more equations over a specified domain is. The graph of this function is shown below. So this functions is continuous because its graph is a single unbroken curve. So the function is defined be the line 3x - 2 when x = 3 and the output here is y = 7

6 0
3 years ago
Read 2 more answers
Use the Remainder Theorem to find the remainder for (2x^3-3x^2+6)/(x-1) and state whether or not the binomial is a factor of the
Bezzdna [24]

Answer:

Remainder= 5, and the binomial (x-1) is not a factor of the given polynomial.

Step-by-step explanation:

Given polynomial is (2x^3-3x^2+6) , we have to divide this with a binomial [tex}(x-1)[/tex] using remainder theorem.

Remainder theorem says if (x-a) is a factor then remiander would be f(a)

Therefore for (x-1), \ {we find}\  f(1)}

f(1)=(2\times 1^3-3\times1^2+6)\\1^3 =1\\1^2=1\\Substituting \ this \ above\\f(1)= (2-3+6)=5

Thus the remainder is 5 and since it is not 0 , so the binomial (x-1) is not a factor of the given polynomial.

6 0
3 years ago
Read 2 more answers
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