Consider the table of values.

x y
-2 0
-1 2
0 6
1 12
2 20
3 30
4 42

Select the statement that is true about the table.

A.
The relationship between the variables in the table is linear because the first differences are constant.
B.
The relationship between the variables in the table is quadratic because the second differences are constant.
C.
The relationship between the variables in the table is linear because the second differences are constant.
D.
The relationship between the variables in the table is quadratic because the first differences are constant.

Answer:

The answer is the third

The surface area of prism = 81 ft²

Step-by-step explanation:

∵ The triangular prism has 5 faces

- Two triangles ⇒ bases

- 3 rectangles ⇒ side faces

* to find the surface area of it, we will find the area of

 each face and add them together

- Area of bases:

∵ The bases are right angle triangles with base 6 ft and height 4.5 ft

∵ Area triangle = 1/2 × base × height

∴ Area one base = 1/2 × 6 × 4.5 = 13.5 ft²

∴ Area two bases = 13.5 × 2 = 27 ft² ⇒ (1)

- Area of the first rectangle with dimensions 3 ft and 6 ft

∵ Area rectangle = L × W

∴ Area 1st rectangle = 3 × 6 = 18 ft² ⇒ (2)

- Area of the second rectangle with dimensions 3 ft and 7.5 ft

∴ Area 2nd rectangle = 3 × 7.5 = 22.5 ft² ⇒ (3)

- Area of the third rectangle with dimensions 3 ft and 4.5 ft

∴ Area 3rd rectangle = 3 × 4.5 = 13.5 ft² ⇒ (4)

Add (1) , (2) , (3) and (4)

∴ The surface area of prism = 27 + 18 + 22.5 + 13.5 = 81 ft²

Answer:

81

Step-by-step explanation:

you are right, but remember since the base is an actual number then you need to raise 5 to the power of 4. Your answer is 625.

Answer:

They will each get 1/12 of the enchiladas. This is because 1/4 of the 1/3 enchiladas is 1/12.

Please mark Brainliest if I'm correct!

I'm not sure, but I think this is the answer.

Answer:

Sara has 24-x-7

Tim has 24+x/2

Explanation:

So for Tim, He had 24 and received x no of sweets from Sara, so

24+x

After that, he ate half of it, so

24+x/2

Now for Sara, She had 24 and gave Tim x no of sweets, so

24-x

After that, she ate 7 of it, so

24-x-7

Hope it helps

The expression for the number of sweets Sara and Tim have now after sharing and eating some is represented as 29 - 0.5x.

Expression for the number of sweets Sara and Tim have now:

Sara gives Tim x sweets, so Sara has 24 - x sweets and Tim has 24 + x sweets.

After Sara eats 7 of her sweets, she has 24 - x - 7 = 17 - x sweets left.

Tim eats half of his sweets, so he has (24 + x) / 2 = 12 + 0.5x sweets left.

The total number of sweets Sara and Tim have now is: (17 - x) + (12 + 0.5x) = 29 - 0.5x.

Answer:

Choose the best estimate for the capacity of a bath tub

A. 5 ml

B. 500 ml

C. 50 cl

D. 500 L

Step-by-step explanation:

The best estimate for the capacity of a bathtub is 500 Liters (500L) as it provides a measure that is comparably similar to the actual volume of a bathtub.

The best estimate for the capacity of a bathtub would be  500 Liters (500L). This is because the capacity of a bathtub is usually much larger than a litre. Option A and B provide measurements in millilitres, which are much smaller units (a liter is 1,000 millilitres), and thus would not be sufficient to measure a bathtub's capacity. Option C is calling for centilitres, where 1 centilitre is equivalent to 10 millilitres, still way smaller than a bathtub's capacity. Hence, 500L (500 Litres) is the most reasonable estimation for the capacity of a bathtub.

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For this case we must factor the following expression:

[tex]4p ^ 2 + 36p + 81[/tex]

We rewrite [tex]4p ^ 2\ as\ (2x) ^ 2\ and\\ \\81\ as\ 9 ^ 2[/tex]

So:

[tex](2p) ^ 2 + 36p + 9 ^ 2[/tex]

Verify the term of the medium:

[tex]2ab = 2 * (2p) * 9\\2ab = 36p[/tex]

We factor using the perfect square trinomial rule:

[tex]a ^ 2 + 2ab + b ^ 2 = (a + b) ^ 2[/tex]

Where:

[tex]a = 2p\\b = 9[/tex]

So, we have:

[tex](2p + 9) ^ 2[/tex]

Answer:

Option b

Answer:

Step-by-step explanation:

56-------   6 rounded up to 60            

16-----  6 rounded up to 20

Answer:

192oz

Step-by-step explanation:

1lb=16oz

12*16=192oz

Answer:

100 feet^2.

Step-by-step explanation:

What you do is based off the formula for the perimeter of a square which is 4a.

You will take the 40 and divide it by 4 to get 10.

Then you will take the formula for the area of a square which is a^2.

So you take 10 and square it to get 100.

Answer:

100² is the answer my guy

Step-by-step explanation:

Answer:

C. 7

Step-by-step explanation:

Answer:

(3+√2)(3-√2) =  7

Step-by-step explanation:

We have given a expression.

(3+√2)(3-√2)

We have to simplify above expression.

We use difference formula to solve above expression.

(a-b)(a+b) =   a²-b²

(3+√2)(3-√2) =  (3)²-(√2)²

(3+√2)(3-√2) =  9-2

(3+√2)(3-√2) =  7 which is the answer.

Answer:

The length of fencing will be [tex]300\ ft[/tex]

Step-by-step explanation:

Step 1

Find the dimensions of the rectangle

we know that

The area of a rectangle is equal to

[tex]A=bh[/tex]

In this problem we have

[tex]A=5,000\ ft^{2}[/tex]

so

[tex]5,000=bh[/tex] -----> equation A

[tex]b=\frac{h}{2}[/tex] -----> equation B

Substitute equation B in equation A

[tex]5,000=(\frac{h}{2})h[/tex]

[tex]10,000=h^{2}[/tex]

square root both sides

[tex]h=100\ ft[/tex]

Find the value of b

[tex]b=\frac{h}{2}[/tex] -----> [tex]b=\frac{100}{2}=50\ ft[/tex]

step 2

Find the length of fencing

The perimeter of a rectangle is equal to

[tex]P=2(b+h)[/tex]

we have

[tex]h=100\ ft[/tex]

[tex]b=50\ ft[/tex]

substitute

[tex]P=2(50+100)=300\ ft[/tex]

Answer:

81/16

Step-by-step explanation:

This expression  27/8^ 4/3 is best written as

  27

( ------ )^(4/3)

    8

Noting that both 27 and 8 are perfect cubes, we rewrite this expression as

  27

[ ( ------ )^(1/3) ] ^4

    8

Note how 27^(1/3) = ∛27 = 3 and 8^(1/3) = ∛8 = 2, so we obtain:

     3

[ ( ------ ) ] ^4

      2

This can be left as is, or rewritten as

     3^4              81

[ ( -------- ) ]  =  --------

      2^4             16

The value of the given exponential expression will be 81/16. Then the correct option is C.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

[tex]\rightarrow \left ( \dfrac{27}{8} \right)^{\frac{4}{3}}[/tex]

Simplify the expression, then we have

⇒ ∛[(27/8)⁴]

⇒ ∛[{(3/2)³}⁴]

⇒ ∛[{(3/2)⁴}³]

⇒ (3/2)⁴

⇒ 3⁴ / 2⁴

⇒ 81 / 16

The value of the given exponential expression will be 81/16. Then the correct option is C.

More about the value of the expression link is given below.

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Answer: the answer is 11

Step-by-step explanation: to find the value of x, you must find the average of the two bases. So the equation would be 56= 4x+2x-10. Once you simplify that, you get x=11.

0.5(4x-10 + 2x) = 28

3x-5=28

3x=33

x=11

➷ First, just divide the numbers:

12/4 = 3

When dividing values with exponents, you have to subtract the exponents:

7 - 5 = 2

Therefore, your answer would be option B. 3b^2

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

Step-by-step explanation:

I am assuming that you meant the following:

 12b^7

------------

  4b^5

Note that " ^ " is the proper symbol for exponentiation, and " * " for multiplication.

12/4 = 3 and b^7 / b^5 = b^2.  Thus,

 12b^7

------------ = 3b^2 (or, better yet, 3b²).

  4b^5

Answer:

terms: 2x, 3y

like terms: n/a

coefficients: 2, 3

constants: 7

Step-by-step explanation:

terms: matching variables

coefficients: numbers in front of the variable

constants: number that does not change

Answer:

32.7 percent

Step-by-step explanation:

18000 divided by 55000

Answer:

x = 25

Step-by-step explanation:

To find the answer, use the Pythagorean Theorem.

a^2 + b^2 = c^2

7^2 + 24^2 = c^2

49 + 576 = c^2

625 = c^2

25 = c

Answer:

x = 25

Step-by-step explanation:

By Pythagorean Theorem

AC² = AB² + BC²

(x)² = (24)² + (7)²

(x)² = 576 + 49

(x)² = 625

x = 25

-TheUnknownScientist

Answer:

2/6, which equals 1/3

Step-by-step explanation:

Answer:

84 is your answer

Step-by-step explanation:

What you are doing is multiplying them together.

87,1/2% put into a calculator comes out to 7/8 or .875.

You will take that and multiply it to 96

7/8*96=84.

Answer:

b

Step-by-step explanation:

Answer:

Option A. 1 mile per minute.

Step-by-step explanation:

Brandon has traveled after the specified period of time. The table shows his covered distance in a specific time.

Minutes    0     5     10     15     20     25

Miles         0    3      7      12      17      21

In this question we have to calculate speed per minute in between 15 and 20 minutes.

As we can see in the table from 15 to 20 minutes, he traveled :

17 - 12 = 5 miles  Time taken = 20 - 15 = 5 minutes

Speed = [tex]\frac{distance}{time}[/tex]

S =  [tex]\frac{5}{5}[/tex] = 1 mile per minute.

Option A) 1 mile per minute

well, on the grid, the base RT of a triangle goes from -5 to 5, namely is 10 units long.

the height of each triangle is 5 as well, notice from 0 to 5.

[tex]\bf \stackrel{\textit{area of one triangle}}{\cfrac{1}{2}(10)(5)}\implies 25~\hspace{13em}\stackrel{\textit{both triangles added up}}{25+25\implies 50}[/tex]

Step-by-step explanation:

well, on the grid, the base RT of a triangle goes from -5 to 5, namely is 10 units long.

the height of each triangle is 5 as well, notice from 0 to 5.

First move the constant to the other side causing it to change sides

4x<-6-6

Then calculate the difference (-6-6)

4x<-12

Now divide both sides by 4

X<-3

Then you are left with your answer:

x<-3

Hope this helps! :3

Answer:

x < -3

Step-by-step explanation:

4x + 6 < - 6

Taking "6" from Left side of the equation to the right hand side, the sign "=6" changes to "-6", and we get,

4x < - 6 -6

Now, on right hand side, since both signs are same, therefore they add up to get,

4x < - 12

now, divide the complete equation by 4 we get,

4x/4 < -12/4

⇒ x < -3

Thus, the values that x can take are : -4,-5,-6,...-10....-20,....and so on

the answer is y=3x-1

the 3 comes from the point moving 3 up and 1 right and the -1 comes from the y intercept

Answer:

Step-by-step explanation:

The slope-intercept form of the equation of a line:

y = mx + b

m - slope

b - y-intercept

From the graph we have the y-intercept: (0, -1). Therefore b = -1.

y = mx - 1

From the graph we have the second point (1, 2). Put the coordinates of this point to the eqution:

2 = m(1) - 1

2 = m - 1               add 1 to both sides

3 = m

Finally we have

y = 3x - 1

Answer:

g=676

Step-by-step explanation:

g/13=52

We simplify the equation to the form, which is simple to understand  

g/13=52

Simplifying:

+ 0.0769230769231g=52

We move all terms containing g to the left and all other terms to the right.  

+ 0.0769230769231g=+52

We simplify left and right side of the equation.  

+ 0.0769230769231g=+52

We divide both sides of the equation by 0.0769230769231 to get g.

The answer is:

[tex]f(4)=\frac{4}{3}[/tex]

Evaluating a function means substituting the variable (x in this case) by the given value (4 in this case), so where is an "x" we should rewrite with the number 4.

So, evaluating the function for [tex]x=4[/tex] we have:

[tex]f(4)=\frac{1}{3}(4)=\frac{1}{3}*4=\frac{4}{3}[/tex]

Have a nice day!

Answer: [tex]f(4)=\frac{4}{3}[/tex]

Step-by-step explanation:

To solve the problem shown above, you only need to substitute x=4 into the given fucntion.

By definition, the value of x (which is this case is 4) is  called the input value and the value obtained when you susbtitute it into the function is called the output value.

Keeping the above on mind when you susbtitute x=4 into the function,  you obtain the  result shown below:

[tex]f(x)=\frac{1}{3}x\\\\f(4)=\frac{1}{3}(4)\\\\f(4)=\frac{4}{3}[/tex]

Answer:

the answer is x=8, y=7

we know there are 180° in π radians, how many degrees then in -3π/10 radians?

[tex]\bf \begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\\\ x&-\frac{3\pi }{10} \end{array}\implies \cfrac{180}{x}=\cfrac{\pi }{~~-\frac{3\pi }{10}~~}\implies \cfrac{180}{x}=\cfrac{\frac{\pi}{1} }{~~-\frac{3\pi }{10}~~} \\\\\\ \cfrac{180}{x}=\cfrac{\pi }{1}\cdot \cfrac{10}{-3\pi }\implies \cfrac{180}{x}=-\cfrac{10}{3}\implies 540=-10x\implies \cfrac{540}{-10}=x \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill -54=x~\hfill[/tex]

The answer is 20/6 or 10/3

Answer:

3 1/3

------------------

7/6 + 13/6

7 + 13 = 20/6

Now, since it's an improper fraction {20/6} you have to divide. 20 ÷ 6 = 3 2/6 you can simplify 2/6 so simplified to its max is 1/3.

- an improper fraction is when the numerator is bigger than the denominator.

Hope this helps