Mathematics College

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Answers

Answer 1

Answer:

[tex]-1/x^2[/tex]

Step-by-step explanation:

First, let's simplify the expression on the right:

[tex]1/\sqrt{x^2}=1/x[/tex]

Next, rewriting 1/x as x⁻¹, we can use the power rule to differentiate both sides with respect to x:

[tex]y=x^{-1}\\dy/dx=d/dx(x^{-1})\\dy/dx=-x^{-2}=-1/x^2[/tex]

Related Questions

The pie chart below represents the vehicle types owned by families. If the total number of people surveyed is 1000, approximately how many own a van?

Answers

Answer:

500 families

Step-by-step explanation:

We want to estimate the size of the dark blue section of the chart. The chart looks like the left of the pie chart is split evenly with the dark blue section. So we estimate that each of those must represent 12 or 50% of the total number of families. Therefore,

0.50⋅1000=500

About 500 families own a van.

Is the following graph exponential? Explain how you know.

Answers

Answer:

no

Step-by-step explanation:

the graph provided on the picture is y=x². It is visible, when the value of 'x' isdecreasing, the values of the function 'y' is increasing. If the function provided is exponential, then the values of the function 'y' is decreasing also.

The following integers are listed in order from greatest to least. 10, 7, -3, -7

Answers

Answer:

true

Step-by-step explanation:

negative numbers are smaller than positives and bigger negative numbers like -7 are lower than smaller negative numbers like -3

Translate the sentence into an inequality.
A number increased by 2 is greater than or equal to 19.

Answers

Answer:

X + 2 [tex]\geq \\[/tex] 19

Step-by-step explanation:

a number  ur going to represent with a variable x and increased by 2 means + 2 so x + 2 and when it say greater than or equal to remember that it always opens to the lager number or x + 2 and has a line underneath to represent the or equal to.

In how many ways can a teacher seat 5 girls and 2 boys in a row of 7
seats if a boy must be seated in the first seat and a girl in the last seat.

Answers

Answer:

I Don't Know

Step-by-step explanation:

Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!

Find the measure of the supplement of a
16° angle.

Answers

Answer:

164

Step-by-step explanation:

Hey There!

If they are supplementary angles then they will add up to equal 180

So given one of the angles (16) we subtract that from 180 to find the value of the missing angle

180-16=164

Your answer is 164

Hope this helps :)

Someone help please?

Answers

Answer:

x - 6 = 3x

Step-by-step explanation:

I think please wait for more responses if needed, I showed how to make them equal, what x equals.

Which set of measurements would not create a triangle?

A. 9 in., 8 in., 16 in.

B. 11 in., 12 in., 22 in.

C. 14 in., 6 in., 20 in.

D. 3 in., 8 in., 6 in.

Answers

I don’t see how any of them couldn’t but best bet B

I really need help! will give brainliest!!

Answers

Answer is A) AC= 20 and angle A=37°
Dilated by factor of 4 means enlarged by 4 ( multiply by 4)

The angle stays the same no matter how much you increase or decrease the size

And AC= 5 x4= 20

Nolan invested $5,300 in an account paying an interest rate of 3.8% compounded
annually. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest tenth of a year, for the value of the account to reach $6,880?
HELP

Answers

Answer:

7

Step-by-step explanation:

did the question

The amount of money would be $6,880 in the account after 7 years.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

A = P(1+r/100)ⁿ

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

Given data as follows:

p = $5,300

r = 3.8%

A = $6,880

A = P(1+r/100)ⁿ

Substitute the values of p,r, and A in the formula,

6,880 = 5,300(1 + 3.8/100)ⁿ

6,880/5,300 = (1 + 0.038)ⁿ

1.2981 = (1.038)ⁿ

n = 6.9954

Rounded to the nearest digit, and we get

n = 7

Therefore, the amount of money would be $6,880 in the account after 7 years.

To learn more about Compound interest click here:

brainly.com/question/25857212

#SPJ2

Logan is going to invest $61,000 and leave it in an account for 20 years. Assuming
the interest is compounded continuously, what interest rate, to the nearest
hundredth of a percent, would be required in order for Logan to end up with
$103,000?

Answers

Answer:

its 2.62

Step-by-step explanation:

Answer:

its 2.62  

Step-by-step explanation:

Factor the following expression, and verify that the factored expression is equivalent to the original

16x²-8x-3

Answers

Answer:

Final answer

(4X+1)(4X-3)

can i get factors of 256​

Answers

Step-by-step explanation:

Factors of 256: 1, 2, 4, 8, 16, 32, 64, 128 and 256.

Hope it will help :)❤

Here the answer hope this helps:

factors of 256 are.... 1, 2, 4, 8, 16, 32, 64, 128 and 256.

Step-by-step explanation:

hope this helps

Factor the follow expression:
8x−10

Select one:

2(x−5)

2(4x−5)

8(x−10)

2(4x−10)

Answers

Answer:

2(4x-5)

Step-by-step explanation:

find the greatest common factor (biggest number that goes into 8 and 10)

it is two

divide both by two

put 2 on the outside to symbolize that you multiply the inside by 2

2(4x-5)

Answer:

[tex]2(4x - 5)[/tex]

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

[tex]gcf = 2[/tex]

2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

[tex]2( \frac{8x}{2} - \frac{10}{2} )[/tex]

3) Simplify each term in parentheses.

[tex]2(4x - 5)[/tex]

Therefor, the answer is Option B.

True or false - The only way to charge an object with static electricity is by rubbing it against another object.

Answers

Answer:

This is false

Step-by-step explanation:

This is false! Have a good day!

Please answer this question!!! Thank you!

Answers

Answer:

your answer is b

Step-by-step explanation:

The answer is B and you’re welcome

what happens to just the median?​

Answers

Answer:

It increases

Step-by-step explanation:

NEED HELP PLEASE ! WILL MARL BRANIEST IF RIGHT

Answers

Answer:

-9, -2, 14

Step-by-step explanation:

-1 is < 0 so plug it into the first function.

8(-1) -1 = -9

0 is ≥ 0 so plug it into the second function

8(0)-2 = -2

2 is ≥ 0 so plug it into the second function

8(2) - 2 = 14

need help with this question​

Answers

Answer: 21

Step-by-step explanation:

Both Amy and Ed travel 100 miles to their destination. They begin at the same
time, but Amy drives at 50 miles per hour and Ed drives at 40 miles per hour.
How much sooner will Amy arrive to the destination than Ed?

Answers

Answer:

Since there are two cars, each car, then, drove 104/2 = 52 miles. But one car is traveling 8 miles per hour faster.

Step-by-step explanation:

PLS help
5 2/5 - 6 5/7​

Answers

Answer:

1.2

Step-by-step explanation:

Given

52/5_65/7

10.4_ 9.28

1.2

27\5-47\7
-46\35
= -1 11\35 Or 1.3

answer pls>>>>>.

pls

Answers

I’ve attached my work....
I used completing the square method were you draw a square and multiple everything across
Hope it helps!!
Have a nice day or night :O
Use the comment feature for any additional questions you have

please give me the answer.

Answers

Quadrant 3!! This is because in double negatives, that’s what quadrant it is!

PLEAS HELP

The measures 2^3 , 4, and 2^7 create a right triangle.
True
false

Answers

Answer: true

Step-by-step explanation: they are all equivalent

Answer:

False

Step-by-step explanation:

geometry question pls help!!!​

Answers

Answer:

First option is the correct answer

Step-by-step explanation:

Multiply the area of the circle by [tex] \frac{360\degree - x}{360\degree} [/tex]

A town has a population of 7000 and grows at 4% every year. What will be the population after 13 years, to the nearest whole number?

Answers

Answer:

Step-by-step explanation:

7,000 × 1.04¹³ = 11,656

(08.01)
Two friends went to get ice cream sundaes. They each chose a flavor of ice cream from a list of vanilla and chocolate and toppings from a list of hot fudge,
strawberries, sprinkles, peanuts, and whipped cream. Use the sets below describing their choices and find B'
Let A = {vanilla, chocolate, hot fudge, strawberries, sprinkles, peanuts, whipped cream}
Let B = {vanilla, hot fudge, sprinkles, whipped cream}
Let C = {chocolate, hot fudge, peanuts, whipped cream}

Answers

Answer:

A

Step-by-step explanation:

njsusnhshbwhjkahbkans

HELP ASAP PLS!!


what is composite area?? How do we use it in the real world???

Answers

Answer:

A composite figure (or shape) is one that can be separated into more than one of the basic figures. Examples of using it in the real world is building cars or houses.

how do i solve this and what is the answer?

Answers

Answer:

I totally get why you are asking , how do I solve this.  there is so much implied about this

Step-by-step explanation:

1st you have to recognize that ∠ACB ( in my drawing ) has that same angle as the arc from A to B  ,  so that's implied.   next you have to recognize that the triangle formed by ACB with the 124 degree angle at C is an isosceles and therefore has identical angles at A and B  so that's  180 = 124 + 2A  , so A = 28° and so does B , then , b/c we know that small angle... you also have to know, that the line AC is perpendicular to AD.  that they from a right angle and there for... you now know , that ∠BAD is the other part of that 90 or 90= 28 + ∠BAD so  ∠BAD = 62°

I went through that kinda fast, there was several "leaps" of using logic to get to the correct answer , using things you know from prior understanding about angles , circles  and geometry,  you are putting all of the parts together here.  :/  kinda daunting in some ways.

A young person decides to put aside some money for retirement by putting $1,000 in a 30-year savings bond that pays 3.0% simple interest per year. The interest compounds. How much money will the person have after 30 years?

Answers

Answer:

2427.26 $

Step-by-step explanation:

Just use this formula when you have such type of problems:

N = N° (1 + %)^t

Where N = final amount

           N°= initial amount

           t = peroid of time

Now let's solve:

N = 1000(1 + 0.03)^30

N = 2427.26

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