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daser333 [38]
4 years ago
8

This is similar to a problem in the textbook. After a foreign substance is introduced into the blood, the rate at which antibodi

es are made is modeled by f(t)=19t3t2+7 where f(t) is in thousands of antibodies per minute, and t is measured in minutes with 0≤t≤10. Assuming that there are no antibodies present at time t=0, find the total number of antibodies in the blood at the end of 10 minutes. Round your answer to two decimal places.
Mathematics
1 answer:
BartSMP [9]4 years ago
7 0

Answer:

We will find the number of antibodies by integrating the function:

∫

f

0

f

′

(

t

)

=

∫

60

0

27

t

8

t

2

+

3

d

t

Integrating both sides we get:

f

=

27

16

ln

(

8

t

2

+

3

)

Now let us plug-in the bounds we get:

Step-by-step explanation:

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The probability of winning a prize at a school raffle is 0.62. What is the probability of not winning a prize
mixas84 [53]

Answer:

b. 0.38.

Step-by-step explanation:

You either win a prize or you don't. There are only 2 possibilities so the probability of not winning a prize = 1 - 0.62 = 0.38.

7 0
3 years ago
Round 26.55 to the nearest whole number
Natasha_Volkova [10]

The next larger whole number is  27 .
The next smaller whole number is  26 .

26.55 is closer to  27  than it is to  26 .

So the nearest whole number is  27 .

3 0
3 years ago
Read 2 more answers
The square root of 61 is in between 2 integers what are they
swat32
One way is to estimate
1^2=1
2^2=4
3^2=9
4^2=16
5^2=25
6^2=36
7^2=49
8^2=64
the number 61 is between 49 and 64 therefor the square root of 61is between the intigers 7 and 8 or -7 and -8
8 0
3 years ago
Can someone explain the steps to solve number two?
Vlada [557]
Ok so first you would create a proportion.
8/x=4/1. Next you cross multiply and divide,
1 • 8÷4=x. Ratios are fractions with the first number being the numerator and the second being the denominator. If you think of it this way, you just find an equivalent fraction. Your answer would be 8:2 because in your proportion x=2.
7 0
3 years ago
A circle has a radius of 3it has an arc with a 20 degree central angle
alexandr402 [8]

Answer:

Step-by-step explanation:

The circumference of the circle is 6π inches  

The length of the arc is (20/360)×6π = 1.04 inches  

(The complete circumference would cover 360°. Angle ALB is 20°)

7 0
3 years ago
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