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daser333 [38]
3 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]3 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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Answer:

x = 6

Step-by-step explanation:

These two angles make a complementary angle meaning the sum of the angles will be 90°. We can use this information to make an equation to solve for x.

10x + 30 = 90 (Given)

10x = 60 (Subtract 30 on both sides)

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6 0
3 years ago
Find the solutions of the system y = –2x – 1 and y = 3–x–1.
sweet [91]

There are two intersection points (-1, 1) and (-2, 3), and the x coordinates are -1 and -2.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent y = a^x

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The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have two equations:

y = –2x – 1 and

\rm y = 3^{-x-1}

From the graph, we can see:

There are two intersection points:

(-1, 1) and (-2, 3)

The x coordinates are -1 and -2

x = -1, y = 1

x = -2, y = 3

Thus, there are two intersection points (-1, 1) and (-2, 3), and the x coordinates are -1 and -2.

Learn more about the exponential function here:

brainly.com/question/11487261

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5 0
2 years ago
Which measure is equivalent to 126 in. ? 1 ft = 12 in. 1 yd = 3 ft 3 yd 3. 5 yd 10. 5 yd 31. 5 yd.
denis23 [38]

Answer:

3.5 YARD

Step-by-step explanation:

3.5 x 3= 10.5x12= 126

6 0
2 years ago
Which equation matches the graph?<br> PLEASE HELP MEEEE
Rama09 [41]

Answer: Y = 3x - 2

Work: Okay, let's take this step by step. Since the Y - Intercept is -2, put a dot on -2 on the (Y) Line. It also just so happens that the line goes through -2. Now with 3x. 3x is the same thing as 3x / 1. Since three is on the top, you go up three from -2, and then move over one spot because of the 1 (If it was a negative one, you go the opposite direction) Alright, now you see that the line also passes through that point as well, so it has to be y = 3x -2

<em>I hope this helps, and Happy Holidays! :)</em>

8 0
3 years ago
The foot of a ladder is placed 10 feet from a wall. If the top of the ladder rests 13 feet up on the wall, find the length of th
Minchanka [31]
10 squared + 13 squared = your answer squared.
So do that then take the square root of whatever you get.
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3 years ago
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