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Sidana [21]
3 years ago
12

Hi, can someone help pls! Which of the following is a counterexample for the claim that √x^2 = x ?

Mathematics
1 answer:
Leto [7]3 years ago
7 0

Answer:

Step-by-step explanation:

x=-1 is the counter example as ((-1)2)^(1/2)=1 and not -1.

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What is the value of Z WILL MARK BRAINLIEST
allochka39001 [22]

\angle z = 92

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2 years ago
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2. Bacterial Culture Problem: When you grow a
Galina-37 [17]

The area is changing at an increasing rate because the values of A(0), A(5), and A(10) increases as t increases

<h3>Find the area at times t = 0, t = 5, and t = 10.</h3>

The complete question is added as an attachment

The function is given as:

A(t) = 9 * (1.1)^t

Substitute t = 0, t = 5, and t = 10.

A(0) = 9 * (1.1)^0 = 9

A(5) = 9 * (1.1)^5 = 14.5

A(10) = 9 * (1.1)^10 = 23.3

The area is changing at an increasing rate because the values of A(0), A(5), and A(10) increases as t increases

<h3>Use the results of part a to find the radius of the culture at these three times</h3>

The area of a circle is

A = πr^2

Make r the subject

r = √(A/π)

So, we have:

r = √(9/π) =  1.7

r = √(14.5/π) =  2.1

r = √(23.3/π) =  2.7

The radius is changing at an increasing rate

<h3>Write an equation for the composite function R(A(t)).</h3>

In (b), we have:

r = √(A/π)

Express as a function

r(A(t)) = √(A/π)

Hence, the equation for the composite function is R(A(t)) = √(A/π)

<h3>The restriction for the function R * A</h3>

We have:

r(A(t)) = √(A/π)

A(t) = 9 * (1.1)^t

This gives

r(A(t)) = √(9 * (1.1)^t/π)

The radius is 30.

So, we have:

√(9 * (1.1)^t/π) = 30

Square both sides

(9 * (1.1)^t/π)= 900

Divide by 9

(1.1)^t/π= 100

Multiply by π

(1.1)^t= 314

Take the logarithms of both sides

t * log(1.1) = log(314)

Solve for t

t = 60

Hence, the restriction on the domain is 0 <= t <= 60

Read more about composite functions at:

brainly.com/question/13502804

#SPJ1

7 0
2 years ago
Victor is in the 28% tax bracket.
castortr0y [4]

Incomplete question. I've made some assumptions to provide clarity.

Answer:

<u>a. $45,743.07</u>

<u>b. $44,843.07</u>

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

Let's assume Victor is a single filer with an income of $100,000.

Using the 2017 tax bracket rates for single filers, Victor would be expected to pay:

- 10 percent on the first $9,325 = 10% x 9525 =$932.5

- plus 15 percent of the amount between $9,326 and $37,950 (37950-9326) x 15% = $4293.6

- plus 25 percent of the amount between $37,951 and $91,900 (91900-37,951 ) x25% = $13487.25

- plus 28 percent of the amount over $91,901-$191,650 (191650-91901) x 28% = 27929.72

Total=  $46,643.07

Minus $900 tax credit= $46,643.07-$900= $45,743.07

Minus $900 charitable contribution = $45,743.07-$900= $44,843.07

7 0
3 years ago
Explain how to find 4×80. show your work.
Alla [95]
To find the product of 4*80:

Remove the 0 from 80 (4*8)

Multiply as you would (or just add 8+8 4 times)

When you get your answer (32), add the 0.

Answer: 320
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Karl drove 612.9 miles. For each gallon of gas, the car can travel 41 miles. What is a reasonable estimate of the number of gall
NNADVOKAT [17]

Answer:

B. 15 gallons

Step-by-step explanation:

We don't need an exact answer, so we estimate

To do this, we round

41 is a tens number, so I'm going to round to the nearest 10

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612.9 is a hundreds number, so I'm rounding to the nearest hundred

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