Factor the expression x2 - 49.
A. 7(x² – 7)
B. 7.(2-7)
C. 2+7(2-7)
D. (x + 7)(x-7)

Answers

Answer 1
x^2 - 49 = (x + 7)(x - 7) = x^2 - 7x + 7x = 49 = x^2 - 49

Related Questions

WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

+ At time 0 (beginning), the volume is 5 (feet^3) of sand.

+ After 1 minute, it lefts: 90% of 5 = 0.9*5

+ After 2 minutes, it left 90% of (0.9*5) = 0.9*(0.9*5)

or

[tex]5.(0.9)^{2}[/tex]

+ After 3 minutes, it left 90% of    [tex]5.(0.9)^{2}[/tex]

or

[tex]5.(0.9)^{3}[/tex]

.......

+ After x minutes, it left 90% of    [tex]5.(0.9)^{x-1}[/tex]

or

[tex]5.(0.9)^{x}[/tex]

So the answer is [tex]5.(0.9)^{x}[/tex], that means C

Help................!.!!.!.!.

Answers

Answer:

Step-by-step explanation:

it will be 5 * 14 = 70 cm in real life scale

Answer:

~ 70 cm of the width of the actual item ~

Step-by-step explanation:

Let us plan out our steps, and solve for each:

1. Given the information, let us create a proportionality as such:

      1       =          14          ⇒   x - width of the actual item

      5                   x

2. Now let us cross multiply, and solve through simple algebra for x:

14 * 5= x,

x = 70 centimeters of the width of the actual item

Find the first five terms of the geometric sequence defined by a (n)=10
(.1)^n

Answers

Answer:

Step-by-step explanation:

a(1) = 10(.1)^1 = 1

a(2) = 10(.1)^2 = 10(0.01) = 0.1

a(3) = 10(.1)^3 = 10(0.001) = 0.01

a(4) = 0.001

a(5) = 0.0001

What’s the correct answer for this?

Answers

Answer:

D.

Step-by-step explanation:

Angle-Angle-Side Postulate since two angles and one side is congruent to eachother.

Answer:

D. Angle-Angle-Side.

Step-by-step explanation:

The 2 sets of triangles have 2 angles and 1 side congruent so the reason is AAS.


Solve for the variable 8x + 15 = 63

Answers

Answer:

6

Step-by-step explanation:

63-15 =48 48/8 is  6

Answer:

x = 6

Step-by-step explanation:

8x + 15 = 63

8x = 63 - 15

8x = 48

x = 48/8

x = 6

Unit 8: Right Triangles & Trigonometry Homework 2: Special Right Triangles...Please Help!

Answers

Answer:

x = 8√3y = z = 12√2

Step-by-step explanation:

We presume you want the values of x, y, and z.

__

There are two "special triangles" in geometry and trigonometry. They are the 30°-60°-90° right triangle that is half of an equilateral triangle, and the 45°-45°-90° isosceles right triangle that is half a square (cut by the diagonal).

The side ratios of these special triangles are relatively easy to remember. It is useful to memorize them.

__

For the isosceles right triangle, the side lengths are the same. The Pythagorean theorem tells you that if they are both 1, then the hypotenuse is ...

  √(1²+1²) = √2

That is, the side lengths of the 45-45-90 triangle are in the ratio ...

  1 : 1 : √2

__

For the triangle that is half an equilateral triangle, you know the hypotenuse is twice the length of the shortest side (since we got that short side by cutting a long side in half). Then the longer side can be found from the Pythagorean theorem:

  √(2²-1²) = √3

That is, the side lengths of the 30-60-90 triangle are in the ratio ...

  1 : √3 : 2

_____

In this problem, we're given the hypotenuse of a 30-60-90 triangle, so we know the short side of it (x) will be half that length:

  x = (16√3)/2

  x = 8√3

The hypotenuse of the 45-45-90 triangle will be √3 times x, so will be ...

  long side of small triangle = (√3)(8√3) = 24

The shorter sides of that 45-45-90 triangle will be this value divided by the square root of 2, so are ...

  y = z = 24/√2

We can multiply this by (√2)/(√2) to "rationalize the denominator".

  y = z = 12√2

Answer:

8\sqrt{3},\ 12\sqrt{2},\ 12\sqrt{2}

Step-by-step explanation:

What’s the correct answer for this? Select the ones that apply

Answers

Answer:

C & D

Step-by-step explanation:

In both these pairs, the x-coordinates are not changed while the y-coordinates are having a difference of 8 between them so they are really much corresponding

9-1=8

-3-(-11)=-3+11=8

Find the area of the shape shown. ​

Answers

Answer:

well area is the space inside of a shape. so you would multiply 2 by 4 because there are 4 sides.

Step-by-step explanation:

Answer:  area is 10

Step-by-step explanation:

add top and bottom base

8+2=10

then divide by 2

10/2 = 5

then times 5 by 2

5*2=10

8+2/2 * 2 = 10

10 = area

The probability of event A is 0.5 and probability of event B is 0.2. Given that A and B are independent, then the probability of A and B (A intersection B) is:
A) 2.5%
B)7 %
C)10%
D) 14%

Answers

C 10%
Hope that helps

If there is a strong correlation between the variables a and b, a may cause b.
True or false?

Answers

Answer:

true

Step-by-step explanation:

.


A fair coin is flipped 10 times and lands on heads 8 times. Provide a reason to justify the difference between the experimental and theoretical
probabilities. Use the drop-down menus to explain your answer.
There should be a
Choose...
number of trials. With Choose...
flips of the coin, the experimental probability will likely
approach the theoretical probability of Choose...

Answers

Answer:

THere will be 8 heads and 2 tails

Step-by-step explanation:

I don't know

Daryl wishes to save money to provide for his retirement. He is now 30 years old and will be
retiring at age 64. Beginning one month from now, he will begin depositing a fixed amount into
a retirement savings account that will earn 12% compounded monthly. Then one year after
making his final deposit, he will withdraw $100,000 annually for 25 years. In addition, and after
he passes away (assuming he lives 25 years after retirement) he wishes to leave in the fund a sum
worth $1,000,000 to his nephew who is under his charge. The fund will continue to earn 12%
compounded monthly. How much should the monthly deposits be for his retirement plan?

Answers

Answer:

Step-by-step explanation:

Today's Age = 30

Retirement Age = 64

Total Monthly Deposits = ( 64 - 30 ) * 12 = 408

In case of 12% Compounded Monthly , Interest Rate per month = ( 12% / 12 ) = 1%

Effective Interest Rate per year = ( 1 + 0.12/12 )12 - 1 = 1.1268 - 1 = 0.1268 = 12.68%

Present value of Annual 25 Years withdrawal of $100,000 at time of Retirement = $100,000 * PVAF ( 12.68% , 25 )

= $100,000 * 7.4864

= $748,642.20

Present Value of Money for nephew at time of Retirement = $1,000,000 * PVF ( 12.68% , 25 )

= $1,000,000 * 0.050535

= $50,534.52

Now the Present Value of total Amount Required at time of Retirement = $748,642.20 + $50,534.52

= $799,176.70

Now the monthly deposit be X

= X * FVAF ( 408 , 1% ) = $799,176.70

= X * 5752.85 = $799,176.70

X = $138.918

Therefore Monthly Deposit = $138.92

Katie runs 3 miles in 28 minutes. At this pace, how long will it take her to run 13.1 miles? Round to the nearest minute.

Answers

Answer:

122.6 min

Step-by-step explanation:

3 miles = 28 min

13.1 miles=x

28min x 13.1 miles=366.8/3=122.6 min

Answer:

122mins

Step-by-step explanation:

3 miles take 28mins

Therefore the pace refers to the speed of travel and is 3/28

The new time of travel = distance /speed

= 13.1 / 3/28

=13.1 * 28 /3

=122.27

=122minutes

What the the Quotient 7/12 divided by 2/5

Answers

Answer:35/24

Step-by-step explanation:

7/12 ➗ 2/5

Next step we change divide sign to multiplication,with the numerator and denominator of the right hand fraction inverted

7/12 x 5/2

(7x5)/(12x2)

35/24

The quotient of 7/12 divided by 2/5 is 35/24.

To divide fractions, you need to multiply the first fraction by the reciprocal (or the multiplicative inverse) of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

So, to find the quotient of 7/12 divided by 2/5, you multiply 7/12 by the reciprocal of 2/5, which is 5/2.

Here are the steps:

Write down the first fraction: 7/12

Write down the reciprocal of the second fraction: 5/2

Multiply the first fraction by the reciprocal: (7/12) x (5/2)

Multiply the numerators: 7 x 5 = 35

Multiply the denominators: 12 x 2 = 24

Simplify the fraction, if possible: 35/24

Therefore, the quotient of 7/12 divided by 2/5 is 35/24.

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Which angle has a positive measure?

Answers

Answer:

There are two qestions that both have different answers. Here are both of them. One is B one is A

Step-by-step explanation:

Answer:

A on Edge 2023

Step-by-step explanation:

HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply.

Answers

Answer:

c and e

Step-by-step explanation:meow

Answer:

c and e

Step-by-step explanation:

How many sundaes did the shop make if they used 32 spoonfuls of sprinkles?

Answers

Answer:

32?

Step-by-step explanation:

Answer:

Depends on how many spoonfuls of sprinkles per sundae. Is there more details to this question?

Solve for x
8 (V2 - x) = 11

Answers

Answer:

V^2 - 11/8

Step-by-step explanation:

8(V^2 - x) =11

V^2 = 11/ 8 + X

X= V^2 - 11/8

Answer:

x= - [tex]\frac{11}{8}[/tex]+[tex]\sqrt{2[/tex]

Step-by-step explanation:

Distribute the 8, which becomes.... 8[tex]\sqrt{2}[/tex] - 8x = 11

Move the numbers to one side.... -8x= 11-8[tex]\sqrt{2}[/tex]

Divide by -8.......- [tex]\frac{11}{8}[/tex]+[tex]\sqrt{2[/tex]

A boathouse costs $2750 a month to operate, and it spends $650 each

month for every boat that it docks. The boathouse charges a monthly fee of

$900 to dock a boat. If n is the number of boats, which equation represents

the profit function of the boathouse?

O A. p = 2750n + 250

O B. p= 900n + 2750

O c. p = 250n- 2750

O D. p = 650n + 2750

Answers

Answer: P=250n-2750

Step-by-step explanation:

The profit function of the boathouse is given as follows p = 250n- 2750.

What is the profit function?

The profit function is a mathematical function that reflects a company's or business's profit as a function of the number of products or services produced and sold.

The revenue generated by the boathouse with n boats is given by the monthly fee per boat multiplied by the number of boats, which is $900n.

The total cost to operate the boathouse with n boats is the fixed cost of $2750 plus the variable cost of $650 per boat, which is $2750 + $650n.

Therefore, the profit function of the boathouse is given by the revenue minus the cost:

p = 900n - (2750 + 650n)

Simplifying this expression, we get:

p = 250n - 2750

Thus, the answer is (c) p = 250n - 2750.

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plzz help i hav a test after i need the answer quick plzz.

Answers

Answer:Oop

Step-by-step explanation:

Which expressions are equivalent to 7.7.7.7.7.7 ?

Answers

Answer:

1.84877

Step-by-step explanation:

tnvvvvvvvvvvv4kvjk5nvj5tnnjt5

Answer:

A and C

Step-by-step explanation:

What is the value of 5x+3 when x = 4?

Answers

Answer:

Step-by-step explanation:

5(4)+ 3

20+3

23

unga oog boog ogah?

Answers

Answer:

ooage booge ohag

Step-by-step explanation:

oomago ooga booga

Answer:

I got a universal translator and got "Hello in caveman goodbye in caveman"

Step-by-step explanation:

$32 for a 14 2/19 km taxi ride

Answers

Answer:

What about it? If you need to know how much that is per km, it would be about $2.27 per km

Step-by-step explanation:

A theater can seat 160 people . If the theater is 60%full, how many more can fit in the theater

Answers

Answer:

64 people can fit in the theater.

Step-by-step explanation:

If 60% is full then calculate how many people is it

[tex] \frac{60}{100} \times 160 = 96 \\ 160 - 96 = 64[/tex]

64 is 40% of 160

So this many people can be accommodated in the theater

Answer:

64 more people can fit in the theater

Step-by-step explanation:

You need to find 60% of 160

10%=16 (divided by 10)

16×6=96

160 (total people)-96(60%)=64

Find the mean, median, and mode(s) of the data. 4, 6, 5, 4, 4, 5, 4, 8

Please Answer it Quickly :^)

Answers

Answer:

[see below]

Step-by-step explanation:

The Mean:

Add all values together:

[tex]4+6+5+4+4+5+4+8 = 40[/tex]

There are 8 numbers in the data set.

40 ÷ 8 = 5

The mean of the data is 5.

The Median:

Order the numbers in ascending order.

4, 4, 4, 4, 5, 5, 6, 8

There is no exact middle number.

[tex](4+5)/2 =4.5[/tex]

The median of the data is 4.5.

The Mode:

'4' appears the most in the data set.

4, 4, 4, 4, 5, 5, 6, 8

The mode of the data is 4.

Mr. Cooper ask his students whether they prefer to go to the aquarium or the planetarium for a field trip. The table shows the result

table says:
response | percent
---------------------------------
aquarium | 50
---------------------------------
planetarium | 25

suppose the rest of the class had no preference what is the ratio of students who have no preference to the students who prefer to go to the aquarium

1:5 1:4 1:3 1:2

Answers

Answer:1/2

Step-by-step explanation:

It is 1/2 because 50 percent is the aquarium and the other 50 percent is unknown.

There is one missing number in the “Which One Doesn’t Belong” game.
• Select a number that does not belong with any of the numbers. Explain your reasoning.
• Select a number that has a characteristic similar to the other two numbers. Explain your reasoning.

Answers

Answer:

I am not I understand the game but

1. 17 doesn't belong cause it a prime number and doesn't dived with any of the other numbers and double digit

2. 4 divides with 216 and 8 and single digit similar to 8

Step-by-step explanation:

How does the graph of g(x) = x+5+2 compare to the graph of the parent function f(x) =
х
g(x) is shifted 5 units left and 2 units up from f(x).
g(x) is shifted 5 units right and 2 units up from f(x).
g(x) is shifted 5 units left and 2 units down from f(x).
g(x) is shifted 5 units right and 2 units down from f(x).

Answers

5 to the left and 2 up

g(x) is shifted 5 units right and 2 units up from f(x). Therefore, option B is the correct answer.

What is the translation?

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.

The given functions are f(x)=x and g(x)=x+5+2.

Translation rules:

When the shape is moved towards the right by k units, then replace x with x + k.

When the shape is moved up by k units, then replace y with y + k.

So, the translation is g(x) is shifted 5 units right and 2 units up from the parent function.

Therefore, option B is the correct answer.

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if f(x)=-x^2 and g(x) = -x^2+4x+5 what is the product

Answers

Answer:

[tex]x^{4}[/tex] - 4x³ - 5x²

Step-by-step explanation:

-x²(-x² + 4x + 5)         Distribute

[tex]x^{4}[/tex] - 4x³ - 5x²

If this answer is correct, please make me Brainliest!

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