Factor the expression below.
x2 - 81
O A. (X-9)(x - 9)
O B. (x + 27)(x-3)
O C. (x-27)(x - 3)
O D. (x + 9)(x-9)

Answer: =2  2/ 3

Step-by-step explanation:

Answer:

1. Slyvia is wrong. You treat the numbers normally when dividing the left side, so 3.61/4.1 = .88. When dividing the exponents, you subtract the numerator from the denominator, so -11-7 = -18. So, you do have .88 * 10^-18, at first, but when you are working in scientific notation you want the decimal to be greater than so, which requires us to add an additional -1, to make it 8.8 instead of 0.88. This is because we want to move the decimal place left one more time. This results in our final answer being 8.8 * 10^-19, which is not Slyvia's answer.

2. Dylan's answer is correct. He subtracted the exponents correctly, then moved the decimal place over one place towards the left.

3. Ethan is wrong. He added the exponents, instead of subtracting. However, you cannot do this, because when you are dividing exponents, you must subtract.

Step-by-step explanation:

I have this acronym I learned called MADSPM, which has helped me a lot. I never learned it in Algebra, but I wish that they had taught it. Each letter corresponds with an exponent rule. If this makes sense, here is what it stands for:

When you multiply, you add.

When you divide, you subtract.

When there are parentheses, you multiply.

In this case, it was solely division. So, you just need to remember division = subtraction, when it comes to exponents.

Hopefully this helped. If you need me to explain it better, please let me know, and I will try. Thanks much & have a wonderful day!

Answer: 20 or 20/20

Step-by-step explanation: It equals a whole number.

Answer:

20/20

Step-by-step explanation:

so there is 5 1/2, you can add 14 1/2, 14 plus five equals 19, but you also have to add the two halves, which in total gives you 20/20.

Answer: 32 fluid ounce = 1 quart

Hey I'm sorry. I don't know if there are any work to show for this but I will try.

1 quart=2pints

2pints=4cups

4cups=32 fl oz

This is all the work I could show for this problem, you really should memorize this though 32 fl oz in a quart, it is very useful real life information :)

Answer:

16675514 Frog

Step-by-step explanation:

[tex]g(25)=14(1.75)^{25} =16675514[/tex]

164

Step-by-step explanation:

The solution is,  a coat cost on sale =  $164.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

At a sale, coats were sold for 82% of their original price.

If the coats originally cost $200 each,

so, a coat cost on sale = $200* 82%

                                     =$164

Hence, The solution is,  a coat cost on sale =  $164.

To learn more on percentage click:

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Answer:

175

Step-by-step explanation:

Answer:

John used the metric scale.

Step-by-step explanation:

Answer:

Step-by-step explanation:

20ft=(20)12=240in

4/240=1/60

Answer:

4x^2+12x+9

Step-by-step explanation:

(2x+3)^2=(2x+3)(2x+3)=4x^2+12x+9

Answer:

As somas estão abaixo

Step-by-step explanation:

a) 158

b) 2095

c) 2819

d) 9082

Eu espero que isso ajude :)

Answer:

9.2 times greater

Step-by-step explanation:

Given that :

Half life :

Helium - 9 = 7x10^-21 seconds

Helium - 5 = 7.6x10^-22 seconds

To obtain the number of tunes helium - 9 half life is greater than helium - 5 ; we divide the half life of helium-9 by the half life of helium 5

7x10^-21 seconds / 7.6x10^-22 seconds

0.9210526 x 10^(-21 - (-22))

0.9210526 * 10^1

= 0.9210526 * 10

= 9.2105

About 9.2 times greater

Answer:

Question 1) 72

Question 2) 40

Question 3) Both C and D.

Question 4) Both A and C.

Step-by-step explanation:

Question 1)

We are given that:

[tex]\displaystyle \int_1^5f(x)\, dx=8\text{ and we want to find} \int_1^5xf'(x)\, dx[/tex]

We will use integration by parts, given by:

[tex]\displaystyle \int_a^b u\, dv=uv-\int_a^b v\, du[/tex]

We will let:

[tex]u=x\Rightarrow du=dx\text{ and } dv=f'(x)\, dx \Rightarrow v=f(x)[/tex]

Therefore:

[tex]\displaystyle \int_1^5xf'(x)\, dx=xf(x)\Big|_1^5-\int_1^5f(x)\, dx[/tex]

Substitute:

[tex]\displaystyle \int_1^5xf'(x)\, dx=(5(f(5))-(1(f(1))-(8)[/tex]

Evaluate:

[tex]\displaystyle \int_1^5xf'(x)\, dx=75-(-5)-8=72[/tex]

Question 2)

Similarly, we will let:

[tex]\displaystyle u=x\Rightarrow du=dx\text{ and } dv=f'(x)\, dx \text{ so } v=f(x)[/tex]

Hence:

[tex]\displaystyle \int_0^3 xf'(x)\, dx=xf(x)\Big|_0^3-\int_0^3f(x)\, dx[/tex]

Evaluate:

[tex]\displaystyle \int_0^3 xf'(x)\, dx=(3f(3))-(0(f(0))-(2)[/tex]

Thus:

[tex]\displaystyle \int_0^3 xf'(x)\, dx=3(14)-2=40[/tex]

Question 3)

We are given:

[tex]\displaystyle g(x)=\int_4^xf(x)\, dx[/tex]

By the Fundamental Theorem of Calculus:

[tex]g'(x)=f(x)>0[/tex]

The derivative of g is always positive. So, the values of g are always increasing.

The tables that reflect this are C and D.

And there are, as I understand it, no way to determine their exact values. Both C and D are correct.

Question 4)

Similarly, we are given:

[tex]\displaystyle g(x)=\int_{-2}^xf(x)\, dx[/tex]

By the FTC:

[tex]g'(x)=f(x)<0[/tex]

So, g should be decreasing for all x.

The tables that reflect this are A and C.

So, both A and C are correct.

Answer:

you wrote that wrong cause ur answer is 0.01225490196

Step-by-step explanation:

Answer:

The answer is 321.6

Step-by-step explanation:

We have to go step by step when we are solving this.

Lets think of it like this

Does 25 go into 8? No! So lets put a 0 on the top (I see you already did that so good start)

Does 25 go into 80? Yes! How many times though? 3 times; So lets put a 3 on the top (Our top should look like 03) Since 25 goes into 80 3 times we need to multiply 25 and 3.  

25x3= 75 -> Subtract that 75 from 80

Now we have a remainder of 5. We are going to bring down the 4 so it can be a complete number, and now it would be 54.

Does 25 go into 54? Yes! How many times? 2 times; So lets put a 2 on the top (Our top should look like 032) Since 25 goes into 54 2 times we have to multiply 25 and 2.

25x2=50 -> subtract that 50 from 54 -> 54-50=4

Now we have a remainder of 4. Bring down the last number, 0 and now we should be with 40.

Does 25 go into 40? Yes! How many times? 1 time; therefore we will just be subtracting 25 from 40. (our top should look like 0321)

40-25= 15 -> we have a remainder of 15. 25 can't go into 15 because 15 is too small. Therefore we are going to have to make a decimal. So on the top add a decimal after 1 and bring down an invisible 0. (Our top looks like this 0321.)

Does 25 go into 150? Yes! How many times? 6 times; so lets multiply 25 and 6 and then subtract that from our 150 that is down there.

25*6= 150

150-150= 0

THAT MEANSSSSS..... our answer is 321.6! P.S yes drop that 0!

Hopefully this helped

Answer:

A: 2,400 yards is needed for the child's sweater

B: HAT: 800 yards

   SCARF: 400 yards

   SWEATER: 2,400 yards

Step-by-step explanation:

i really hope this helped! if it did please give me brainliest.

Answer:

72, 72, 108, 108

Step-by-step explanation:

x, x, x+36, x+36 =360

4x=288

x=72

so,  x=72, x=72, x=108, x=108

Answer:

72*, 72*, 108*, 108*

Answer:

I think the answer is letter C

Answer:

x = 18

Step-by-step explanation:

diagonals bisect each other so 12x = 216

x = 216/12

x = 18

Answer:

answer C: 140 cm

Step-by-step explanation:

If the water rises 14cm in 2 seconds, 21cm in 3 seconds etc... Then the water rises at 7cm per second. Multiply this by 20 seconds and you get 140cm

By find how high the water would be after 20 seconds, you would find out much height is increasing each second.

21 - 4 = 7

28 - 21 = 7

35 - 35 = 7, and so forth.

So, we know that 7 cm is increasing each second. You would just add 7 to the height for each second.

2 --> 14

3 --> 21

4 --> 28

5 --> 35

6 --> 42

7 --> 49

8 --> 56

9 --> 63

10 --> 70

11 --> 77

12 --> 84

13 --> 91

14 --> 98

15 --> 105

16 --> 112

17 --> 119

18 --> 126

19 --> 133

20 --> 140

Thus, after 20 seconds, the water's height would be c) 140 cm.

Answer:

5x-2y=-20

Step-by-step explanation:

y-y1=m(x-x1)

y-5=5/2(x-(-2))

y-5=5/2(x+2)

y-5=5/2x+10/2

y-5=5/2x+5

y=5/2x+5+5

y=5/2x+10

y-5/2x=10

-5/2x+y=10

2(-5/2x+y)=2(10)

-10/2x+2y=20

-5x+2y=20

5x-2y=-20

Answer:

x = 100, y = 50

Step-by-step explanation:

Make a system of equations:

First, you know that x + y degrees and 30 degrees are on a line together, they add up to 180 degrees:

x + y + 30 = 180

x + y = 150

Next, the interior angles of a triangle always add up to 180 degrees, and since 2y, x/2, and 30 are all the angles in a triangle, you have:

2y + x/2 + 30 = 180

x/2 + 2y = 150

Now, all you have to do is solve the system of equations.

To start, multiply the second equation by 2 to get rid of the fraction:

x + 4y = 300

Then, you can subtract the two equations:

x + 4y = 300

- (x + y = 150)

3y = 150

divide both sides by 3

y = 50

substitute y = 50 into the equation x + y = 150:

x + 50 = 150

x = 100

Answer:

65.992

Step-by-step explanation:

LM/PL = RN/QR

LM / 113 = 73/ 125

LM =(73/125) * 113

Step-by-step explanation:

LM =1/2 of 113

56.50

so according to to me it is D) 65.99

Answer:

- [52 - [36 - 58 (24 x 82) x 36] + (-42)] = ​−4109158

Answer:

39

Step-by-step explanation:

39 + 32 = 71

hope this helps have a good day!!

PLEASE MARK BRAINLIEST!! :)

Answer:

k = ±12

Step-by-step explanation:

Equation of the graph is,

y = -2x² + kx - 18

Discriminant of a quadratic equation, y = ax² + bx + c is defined by

Discriminant = √(b²- 4ac)

If √(b²- 4ac) = 0,

Equation will have one real solution.

Discriminant of the the given equation = √[k² - 4(-2)(-18)]

Since, graph of the equation is tangent to the x-axis, there will be one real solution.

Therefore, √[k² - 4(-2)(-18)] = 0

k² - 144 = 0

k = ±√144

k = ±12

Answer:

x=1y

Step-by-step explanation:

Complete question :

Tim knows the volume and base area of a wooden chest that is in the shape of a rectangular prism. If the volume is 5/24 cubic unit and the base area is 1/5 square unit, what is the height of the chest?

Answer:

1 1/24 units

Step-by-step explanation:

Volume of a rectangle prism:

Volume = Lenght * Width * Height

Base area = Length * width

Volume = Base area * Height

Volume = 5/24 unit³

Base area = 1/5 unit²

Plugging values into our formula :

5/24 = 1/5 * height

Divide both sides by 1/5

Height = 5/24 ÷ 1/5

Height = 5/24 * 5/1

Height = 25 / 24

Height = 1 1/24

= 1 1/24 units

Answer:

B. 1 1/24 units

Step-by-step explanation:

Answer:

Not factorable

Step-by-step explanation:

We are given a polynomial and are asked to solve or factor it I am assuming.

To solve this, there is a certain rule I like to follow, which is for b (in this case 5), you have to find two numbers that multiply to it, and for c (in this case 13), you have to find two numbers that add to it.

Since no two numbers multiply to 5 and add to 13, therefore this polynomial is not factorable.

Answer:

x = 13.5

Step-by-step explanation: