Which of the following is equivalent to (8-5) ÷ 2 to the third power?
A. 3/8
B. 19/8
C. 27/8
D. 1/125​

Answers

Answer 1
Answer: 27/8
Work:
8-5=3
3/2=1.5
1.5 to the 3rd is 3.375
Put 3.375 into a fraction you get 27/8
Answer 2

The required value is 27/8, which is determined when we compute the expression (8-5) ÷ 2 raised to the third power. Thus, the option (C) is correct.

To find the equivalent expression to (8-5) ÷ 2 raised to the third power, we first simplify the expression inside the parentheses:

(8-5) ÷ 2 = 3 ÷ 2.

Next, we raise this simplified expression to the third power:

(3 ÷ 2)³

To evaluate this, we cube both the numerator and denominator:

(3^3) ÷ (2³) = 27 ÷ 8.

Therefore, the expression (8-5) ÷ 2 to the third power is equivalent to 27/8.

Hence, the correct answer is option C: 27/8.

This means that 27/8 is the value we get when we compute the expression (8-5) ÷ 2 raised to the third power.

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Related Questions

Write an equation in slope-intercept form of the line that is parallel to the line y = 3x - 1 and passes through ( - 2, - 8)

Answers

y = 3x - 2

Since it is parallel to y = 3x - 1, it has its slope, but also when x = -2, y = -8.

Create an equation... starting with:

y = 3x

When x = -2, y = -8:

y = 3x - 2

Check work by substituing x for -2:

y = 3(-2) - 2

y = -6 - 2

y = -8 ✔️

helppp will give brainliest

Answers

Answer:

1/3 is the slope of the line

the yellow one is correct

Which statement accurately describes the vector shown?

magnitude of StartRoot 11 EndRoot and direction angle equal to approximately 40°
magnitude of StartRoot 11 EndRoot and direction angle equal to approximately 50°
magnitude of StartRoot 61 EndRoot and direction angle equal to approximately 40°
magnitude of StartRoot 61 EndRoot and direction angle equal to approximately 50°

Answers

Answer:

The magnitude is definitely sqrt 61

Step-by-step explanation:

I am unsure how to mathematically solve for the direction angle but my educated guess would be C magnitude of sqrt 61 and direction angle equal to approximately 40° because the vector is below halfway of the 90 degree angle.

The magnitude and the direction of vector a are √61 and 40°. Then the correct option is C.

What is a vector?

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

From the graph, we can see that the coordinate points of the vector that is given as (0, 0) and (5, 6)

Let a be the vector.

Then the magnitude of the vector will be

[tex]\rm \overrightarrow{a} =\sqrt{(6-0)^2 + (5-0)^2 } \\\\\overrightarrow{a} =\sqrt{6^2 + 5^2 }\\\\\overrightarrow{a} =\sqrt{36 + 25}\\\\\overrightarrow{a} =\sqrt{61}[/tex]

The direction will be

[tex]\rm \theta = tan^{-1} \dfrac{5}{6}\\\\\theta = tan^{-1} 0.833\\\\\theta = 39.80 \approx 40^o[/tex]

The magnitude and the direction of vector a are √61 and 40°. Then the correct option is C.

More about the vector link is given below.

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triangle pqr is an iscosceles triangle with the coordinates p(2,3), q(5,10), and r(8,3). what is the area of triangle pqr ?

Answers

Answer:

idek

Step-by-step explanation:

i do not know i’m sorry.

What is the function??

Answers

The answer would be c.2

What is 135 less than the product of 57 and 219?

Answers

Answer: something in the negatives

Step-by-step explanation:

Choose
1. Identify the y-intercept of the line with the given equation. y= 3x + 12

A) x

B) y

C) 3

D) 12

Answers

The answer would be 12
Y=mx+b
B is the y intercept
B=12

Pls help, my moms gonna tell if i fail

Answers

Answer:

0 and 3, I think those are the answers cause they make the most sense

Step-by-step explanation:

What is the slope of 2,10 and 4,20 please answer rn

Answers

Answer:

2/10?

Step-by-step explanation:

Help will give crown

Answers

Answer:

8

Step-by-step explanation:

from A to B it's 8 units long

A survey of 100 doctors revealed that 2 out of every 5 doctors recommended Brand M deodorant. Based on these results, how many doctors did NOT recommend Brand M?

60

40

20

140

Answers

Answer:

Ok well it’s obviously not 140 Bc that’s more Doctors than they had to start and it isn’t 20, it’s not 40, so it’s 60.

Step-by-step explanation:

Also if you do 100/5 you get 20 and 5-2 is 3 so 20 times 3 is 60 so yeah

If u^2=d, what does the square root property state that u is equal to?

Answers

Answer:

the square root of d

Step-by-step explanation:

if [tex]u^{2} = d[/tex] then the square root property would take the square root of each side of the equation. the square root of [tex]u^{2}[/tex] would just be [tex]u[/tex] because it's already squared and its exponent would just be cancelled out, while d would simply turn to [tex]\sqrt{d}[/tex].

meaning if [tex]u^{2} =d[/tex] then [tex]u=\sqrt{d}[/tex], because you've done the same thing to both sides of the equal sign, so they remain equivalent.

The square root property says the value of u²=d is u=±√d

What is Square Root?

The square root of a number is defined as the value, which gives the number when it is multiplied by itself. The radical symbol √ is used to indicate the square root. For example, √16 = 4. The radical symbol is also called a root symbol or surds.

Given here: The expression u²=d

The square root of a number is a value, which on multiplication by itself, gives the original number. The square root is an inverse method of squaring a number. To indicate that we want both the positive and the negative square root of a radicand we put the symbol ± (read as plus minus) in front of the root.

Thus we have the given expression as u²=d

Taking square root on  both sides we get u=±√d

Hence, The square root property says the value of u²=d is u=±√d

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Find the number that completes the following problem. 2
x8
192

Answers

Answer:

the second one X=3

the third X=4

Answer:

24 x 8 = 192

(3+5) + 2 = 2(3+2)

3^4 ( 3 with the exponent of 4

Step-by-step explanation:

192 divided by 8 is 24.

3 + 5 + 2 is 10 so just have to put 3 in the box so that equals 10

there is 4 threes so it’s 3 with the exponent of 4

Find the length of each missing side and each missing angle in the equilateral triangles below

Answers

Answer:

z=4.2ft

x=60 º

y=60 º

Step-by-step explanation:

Because the triangle is equilateral, all sides are the same, so z=4.2

Also because it is equilateral, all angles of the triangle equal 60 º.

Answer:

4.2ft

Step-by-step explanation:

This is an equilateral triangle so all sides and angles will be the same

(567)3-a=(678)
What does a equal

Answers

Answer:

[tex]a=1023[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\(567)3-a=678\\Hence,\\1701-a=678\\1701-678=a\\1023=a\\a=1023[/tex]

a precision CD player costs $600 but was sold for $525 due to damage

. the percentage loss on the CD player​

Answers

Answer:

12.5% (I think)

Step-by-step explanation:

75 is the amount of money lost, and 75 is 12.5 percent of 600

Answer:

12.5 percent decrease

Step-by-step explanation:

Use the formula

new-old/old

525 is new price being sold

600 is old price being sold

525-600

-75/600

-1/8

-1/8= -0.125

0.125= 12.5 percent

so 12.5 percent decrease.

Alonzo is making apple tarts for a party. He needs 3 apples for every 8
tarts. How many apples does he need if he wants to make 40 tarts?
(A) 18 apples
(B) 15 apples
(C) 12 apples
(D) 10 apples

Answers

15 apples... you would divide 40 by 8 to get 5, which you will then multiply by three to get the total amount of apples needed for 40 tarts.

Answer:

15

Step-by-step explanation:

so the amount for apples are 3 for 8.so if you multiply 8 x 5 it is 40.3 is for 8 and there is the answer

pls help

due at 11:59

Answers

Answer:

C. E.

Step-by-step explanation:

Given h(x) = 3x + 4, find h(-1).

Answers

Plug in -1 for x
h(-1) = 3(-1) + 4
h(-1) = -3 + 4
Solution: h(-1) = 1

The value of h(-1) for the given funciton  h(x) = 3x + 4 will be 1.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given the function  h(x) = 3x + 4

If we want to calculate the value of the function at a certain point then we need to keep that point in the function.

So,

Value of function at = -1 will be

h (-1) = 3(-1) + 4

h(-1) = 1

Hence "  The value of h(-1) for the given funciton  h(x) = 3x + 4 will be 1".

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If 9(1-x) = 27Y and x-y=-11/2, find the value of x + y.​

Answers

Answer:

-2.25

Step-by-step explanation:

9(1-x) = 27Y

9-9x =27y

-9x -27y = -9  multiply all terms by -1

9x +27y =9   equation (1)

x-y= -11/2 equation (2)

by solving 2 equations

x= -3.875

y= 1.625

∴ x+ y = 1.625 +(-3.875) = -2.25

Let 9(1-x) = 27y be equation one and let x-y = -11/2 be equation two

Simplify -11/2 into -5.5 and make x the subject in equation two by moving y to the other side as a positive value. So now you have x= -5.5+y (now let that be equation two)

Sub equation two into equation one so that you get 9(1-(-5.5+y)= 27y


Expand brackets 9(1+5.5-y)= 27y

Simplify brackets 9(6.5-y)= 27y

Expand brackets 58.5-9y= 27y

Take -9y to the other side as a positive number

58.5= -36y

Divide both sides by -36

y= 1.625

For x, substitute the value of y into equation two

x= -5.5+1.625

x= -3.875

To finally answer the question aadd the value of x and y together

-3.875+1.625= -2.25

Som the value of x + y is -2.25

5h(-m+f)= 6

SOLVE FOR F!

Answers

6/5h+m

Just divide by 5h and then add m

Hence, the value of [tex]5h(-m+f)=6\\\\[/tex] is [tex]f=\frac{6}{5h}+m[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

[tex]5h(-m+f)=6\\\\-m+f=\frac{6}{5h}\\\\f=\frac{6}{5h}+m[/tex]

Hence, the value of [tex]5h(-m+f)=6\\\\[/tex] is [tex]f=\frac{6}{5h}+m[/tex].

To know more about the equation

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What is the value of 5a + 7b if a = 4 and b = 3

Answers

Answer:

= 41

Step-by-step explanation:

plug in the numbers for the variables

5(4) + 7(3)

multiply

20 + 21

add together

= 41

Answer:

127≠4

False

Step-by-step explanation:

work out 1/2×7 write your answer mixed​

Answers

Answer:

1/2 x 7= 3.5

Step-by-step explanation:

Lucia made a scale drawing of a game room. The pool table is 3 inches long in the drawing. The actual pool table is 9 feet long. What scale did Lucia use?
1 inch : _____feet

Answers

3 feet is equal to 1 inch if she measured 3 inches to equal 9 feet

6. Write this equation in slope-intercept form. 7x = 3y - 12 ​

Answers

Answer: is y=7/3x+4

Step-by-step explanation:

1) add twelve to both sides- this will cancel out the 12

2)you now have 7x+12=3y

3) divide three on both sides. note you put everything over three on the left

4) 7 over 3 (x)+4=y is what you get when you finish doing the simple computations

5) flip the whole thing around so it fits the form. remember that addition can be anywhere as long as you don't switch sides of the equation

you will get: y=7/3x+4

Answer:

ans is

x/-1power 2/7 +y/4 =1

8(2 + t) - 5(t - 1)

do you guys know the answer i need help you guy

Answers

u multiply the 8 into the brackets, same with the 5 to get 16+8t - 5t -5, now you can isolate the t, 11+3t, divide it all by 3, to get 11/3+t, now move the 11/3 to the other side of the = to get, -11/3=t

Answer:

21 + 3t

Step-by-step explanation:

Use distributive property: a*(b +c) =(a*b) + (a*c)

8(2 +t) - 5(t - 1) = 2*8 + t *8 + t *(-5) - 1*(-5)

                       = 16 + 8t -5t + 5

                       = 16 + 5 + 8t - 5t   {Combine like terms}

                       = 21 + 3t

second pictures of my last question​

Answers

Answer:

you really did not give us the full pictuer

Step-by-step explanation:

The shown quadrilateral is a rectangle. If AB is 10 what is the length of DC?
_____________________

A.10
B.5
C.15
D.12

Answers

The answer is:

A. 10

This is because segment AB is parallel to segment DC, meaning they are the same length.

Hope this helps!

A store pays $70 for a kitchen table. The store marks up the price by 45% so they can make a profit.
What is the amount of the mark-up?
$

Answers

Answer:

$108.75

Step-by-step explanation:

math and stuff

please help me. im having one of those days
Write an explicit function to describe the sequence.
-16, -13, -10, -7, ...

Answers

Answer:

Step-by-step explanation:

y = - 3x

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