10. Use the properties of exponents to simplify the expression:

10. Use The Properties Of Exponents To Simplify The Expression:

Answers

Answer 1
Answer :

[tex]\bigstar\:\boxed{\bf{\purple{x^{\frac{m}{n}}}=\orange{(\sqrt[n]{x})^m}}}[/tex]

Let's solve !

[tex]:\implies\sf\:25^{\frac{3}{2}}[/tex]

[tex]:\implies\sf\:(\sqrt[2]{25})^3[/tex]

[tex]:\implies\sf\:5^3[/tex]

[tex]:\implies\boxed{\bf{\red{125}}}[/tex]

Hence, Oprion-D is correct !


Related Questions

25×3/5×1/12 Multiply and simplify

Answers

[tex]25 \times \frac{3}{5} \times \frac{1}{12} = [/tex]

[tex]5 \times \frac{3}{1} \times \frac{1}{12} = [/tex]

[tex]5 \times \frac{1}{1} \times \frac{1}{4} = [/tex]

[tex]5 \times 1 \times \frac{1}{4} = [/tex]

[tex]5 \times \frac{1}{4} = [/tex]

[tex] \frac{5}{4} = 1 \frac{1}{4} [/tex]

Thank you.

Answer:

1.25

Step-by-step explanation:

We can start by multiplying the top part of the fraction. On the top, we have 25, 3, and 1. 25x3x1=75

Now we do the bottom. We have 5 and 12. 5x12=60

Now that we have both parts, we put it back into the fraction.

75/60

75/60=1.25

I’m not understanding this question at all. WILL GIVE BRAINLY!! (6 is not the answer)

Answers

Answer:

-8.

Step-by-step explanation:

Substitute BC with the -4 and 2, as you were given those values to substitute with B and C. Multiply those two values. You get -8.

Simplify. 1/3(1−1/4)^2 please

Answers

Answer:

3/16

Step-by-step explanation:

1/3(1-1/4)^2

1/3(3/4)^2

1/3(9/16)

3/16

Answer:

[tex]\huge \boxed{\frac{3 }{16}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{1}{3} (1-\frac{1}{4} )^2[/tex]

Solving for brackets:

[tex]\displaystyle \frac{1}{3} (\frac{4}{4} -\frac{1}{4} )^2[/tex]

[tex]\displaystyle \frac{1}{3} (\frac{3}{4} )^2[/tex]

Squaring the fraction:

[tex]\displaystyle \frac{1}{3} (\frac{3^2 }{4^2 } )[/tex]

[tex]\displaystyle \frac{1}{3} (\frac{9 }{16} )[/tex]

Multiplying the fractions:

[tex]\displaystyle \frac{1 \times 9 }{3 \times 16}[/tex]

[tex]\displaystyle \frac{9 }{48}[/tex]

Simplifying the fraction:

[tex]\displaystyle \frac{3 }{16}[/tex]

[tex]\rule[225]{225}{2}[/tex]

A football field is 120 yards by 53.333 yards. What is the area of the football field in acres if 1 acre

Answers

Answer:

Area in acres = 1.322 acre (Approx)

Step-by-step explanation:

Given:

Length of field = 120 yards

Width of field = 53.333 yards

Finds:

Area in acres

Computation:

1 acre = 4840 square yard

Area = 120 × 53.333

Area = 6,399.96 yard² = 6,400 yard²

Area in acres = 6,400 yard² / 4840

Area in acres = 1.322 acre (Approx)

Bill has a container that is shaped like a cube. He uses 125 cubes with a side length of 1 inch to fill the container completely. What is the edge length of the container? *****Hint: 1 inch cubes to fill a container is the volume of the cube Please answer quickly!!! Thank you.

Answers

Answer:

5 inches

Step-by-step explanation:

Given

Length of a cube = 1 inch

Required

Determine the edge length of the cube

If the container can take 125 cubes, then that's the volume

So:

[tex]Volume = 125in^3[/tex]

Volume of a cube is calculated as thus;

[tex]Volume = Length^3[/tex]

This gives;

[tex]Length^3 = 125[/tex]

Take cube root of both sides

[tex]Length = \sqrt[3]{125}[/tex]

[tex]Length = 5[/tex]

Hence, the length is 5 inches

Help me please!!!!!!!!!!!!!

Answers

Answer:

x = 12

Step-by-step explanation:

Given that AB = 2, AD = x, BC = 2, CD = -16 + 2x, since A, B, C, D are said to be collinear, therefore:

AB + BC + CD = AD

2 + 2 + (-16 + 2x) = x

Use this equation to solve for x

2 + 2 - 16 + 2x = x

-12 + 2x = x

Subtract 2x from both sides

-12 + 2x - 2x = x - 2x

-12 = -x

Divide both sides by -1

[tex] \frac{-12}{-1} = \frac{-x}{-1} [/tex]

12 = x (negative cancels negative)

x = 12

plane. Explain your reasoning.
MOVIES An online DVD rental company charges $15 a month for unlimited rentals. Determine whether the total paid after each month is
proportional to number of months by graphing on the coordinate plane. Explain your reasoning.
In
hu
Oa. No, because the graph of the line does not pass through the origin.
Ob. Yes, because the graph is a straight line that passes through the origin.
Oc. No, because the graph of the line passes through the origin.
Od. Yes, because the graph is a straight line that does not pass through he origin.
hu
Thu
"hu
es
Res

Answers

Answer: Yes, because the graphic is a straight line that passes the through the origin.

Step-by-step explanation: Ik the answer because I have the answer key.

if a point is located on the x-axis , what is the y coordinate?

Answers

0

Step-by-step explanation:

im only saying this because im assuming it is on the line of the axis

Answer:

0

both x and y are zero so the y axis  is 0 then the x axis is 0

The measures of two supplementary angles are 8w + 58 and 16w + 14. Find the measures of the angles

Answers

Answer:

34

Step-by-step explanation

Ben works at a mobile phone store, where he earns a flat $80 for each 8-hour shift. He also earns a commission of $20 for each phone that he sells. If e stands for Ben's earnings and m is the number of mobile phones he sells, which of the following equations describes the amount of money that he earns in one shift? Question 6 options: A) e = m + 100 B) e = 20m + 80 C) e = –20m + 80 D) e = m + 80

Answers

Answer:

b

Step-by-step explanation:

he makes 80 dollars for a normal shift

20 dollars for every phone he sells 20m

and e is the total amount

e=20m+80

What's the difference between 2x+2 and 2x+2=10?

Answers

Answer:

10

Step-by-step explanation:

Given  both expression

2x+2  and

2x+2=10

the difference inlvosves basically the subtraction of one expression from the other expression.

now before we perform the subtraction operation, let us do some preprocessing.

let us equate the first  and second expression to zero

2x+2=0 and

2x+2-10=0

we can now subtract

(2x+2)-(2x+2-10)=0

open bracket

2x+2-2x-2+10=0

collect like terms

2x-2x+2-2+10=0

0+0+10=0

the answer is 10

If f(x) = 2x + 3 for all values of x, what is the value of f(-3)? A 0 B -3 C 5 D 9

Answers

Answer:

[tex]f(-3)=-3[/tex]

Step-by-step explanation:

[tex]f(x)=2x+3[/tex]

[tex]f(-3)=2(-3)+3[/tex]

[tex]f(-3)=-6+3[/tex]

[tex]f(-3)=-3[/tex]

Hope this helps!

(Please mark Brainliest!)

f(-3) = -3 is correct

Which pair of points has a slope of 4? Question 4 options: (0, 4), (4, 0) (3, 0), (–1, –1) (1, 4), (–1, 4) (0, –3), (1, 1)

Answers

Answer:

(0,-3) and (1,1)

Step-by-step explanation:

In order to have a slope of 4, the y coordinates need to differ by 4, and the x coordinates by 1. This is because slope is equal to rise/run. Rise being difference in y value and run difference in x.

In this pair of coordinates, the y coordinates differ in +4 (-3 and 1) and the x coordinate differs by 1 (0 and 1).

Therefore this is the pair of points with a slope of 4.

Hope this helped!

The pair of points that has a slope of 4 is the coordinate points (0, –3), (1, 1)

The formula for calculating the slope of a line passing through two points is expressed as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We need to get which of the coordinates will result in a slope of 4.

Using the coordinate points (0, –3), (1, 1)

[tex]m=\frac{1-(-3)}{1-0}\\m=\frac{1+3}{1}\\m=\frac{4}{1}\\m=4[/tex]

Hence the pair of points that has a slope of 4 is the coordinate points (0, –3), (1, 1)

Learn mroe here: https://brainly.com/question/23935638

HELP ASAP PLS pls help with all the questions thank you!

Answers

answer 2. min= 30.5

max=31.5

answer 3. 5 s.f

answer 4. False

Answer:not an answer but do you go to Cwcs because I go there too

Step-by-step explanation:

Select the appropriate response.
An isosceles triangle has vertices at (1,1) and (3, 3). Which of the following could be
the coordinates of the third vertex?
A. (2.1)
B. (3.2)
C. (4,1)
D. (5,1)
Choose

Answers

Answer:

D. (5,1)

Step-by-step explanation:

Because it is an isosceles triangle, the next point we choose must result in two sides with the same length. This means that either the two new sides are equal, or that one of the new sides is equal to the original side. If we wanted both of the new sides to be equal, they would have to be equal distance from the new point and one of the points of the original line. However, none of the options result in both new lines being the same length.

(2,1) would result in one new length being 1 unit long (2-1 x-coordinates) and the other being square root 5 (distance from point 2,1 to point 3,3 minus both coordinates and use Pythagoras). Points 3,2 and 4,1 yield the same result: Length 1=1 unit length 2=square root 5. Length 1 = 3 unit, length 2 = square root 5.

Therefore we are looking for a point which instead yields one length which is the same length as the original. The original length was 2^2 + 2^2 = c^2 = square root 8.

If we try the point 5,1 then we get two lengths of 4 and square root 8, it forms a isosceles triangle whose base line is parallel to the x-axis.

Sorry is my explanation was confusing, it's much easier to try and draw it on a grid and visualize it. Basically the overall idea is to test the side values you get by finding the distance between the points and going with the option which results in two sides with the same length.

Hope this helped!

Answer:

D. (5,1)

Step-by-step explanation: Because it is an isosceles triangle, the next point we choose must result in two sides with the same length. This means that either the two new sides are equal, or that one of the new sides is equal to the original side. If we wanted both of the new sides to be equal, they would have to be equal distance from the new point and one of the points of the original line. However, none of the options result in both new lines being the same length.

(2,1) would result in one new length being 1 unit long (2-1 x-coordinates) and the other being square root 5 (distance from point 2,1 to point 3,3 minus both coordinates and use Pythagoras). Points 3,2 and 4,1 yield the same result: Length 1=1 unit length 2=square root 5. Length 1 = 3 unit, length 2 = square root 5.

Therefore we are looking for a point which instead yields one length which is the same length as the original. The original length was 2^2 + 2^2 = c^2 = square root 8.

If we try the point 5,1 then we get two lengths of 4 and square root 8, it forms a isosceles triangle whose base line is parallel to the x-axis.

Sorry is my explanation was confusing, it's much easier to try and draw it on a grid and visualize it. Basically the overall idea is to test the side values you get by finding the distance between the points and going with the option which results in two sides with the same length.

Find an equation for the surface obtained by rotating the line x = 6y about the x-axis.

Answers

Answer:

[tex]\frac{x^2}{36}=y^2+z^2[/tex]

Step-by-step explanation:

If we loo at the xy plane and consider the point (6y, y, 0), it looks like a circular path that is a cone as the curve is rotated about the x axis. The equation of the cone has the form:

[tex]\frac{x^2}{c^2}=\frac{y^2}{a^2}+\frac{z^2}{b^2}[/tex]

Given that x = 6y, to make the equation to be in the form as seen above, we square x = 6y, hence:

x² = (6y)²

x² = 36y²

The path parallel to yz axis are circles, so the equation should be as that of a circle. We need to add 36z², hence:

x² = 36y² + 36z²

[tex]\frac{x^2}{36}=y^2+z^2[/tex]

[tex](\frac{x}{6})^2=y^2+z^2[/tex]

This equation is that of a circle with radius of r = y = x/6, the resulting surface is that of a cone

I'm thinking of a number.My number is a whole number.My number is larger than 100.My number mod 17 = 9.My number is smaller than 200.What could be number be? (Give one possible answer. There are several correct answers.)

Answers

Answer:

the number could be any of these numbers (111, 128, 145, 162, 179, 196)

Step-by-step explanation:

From the given information, let the number that I'm thinking of to be p

p is > 100

p  is < 200

and p = 9 (mod 17)

This implies that 17 ÷ p -9

p - 9 = 17q

here;

q is an integer

p = 9 + 17q

However,

100 < p < 200

= 100 < 9+17q < 200

= 100 - 9 < 17q < 200 -9

= 91 < 17q < 191

Dividing both sides by 17; we have:

= [tex]\dfrac{91}{17}< q < \dfrac{191}{17}[/tex]

= 5.45 < q < 11.24

thus the possible values of q are between 6,7,8,9,10 and 11

The possible values of p can now be:

p = 9 +17(q)

p = 9+17(6), 9+17(7), 9+17(8), 9+17(9), 9+17(10), 9+17(11)

p = 111, 128, 145, 162, 179, 196

Therefore, the number could be any of these numbers (111, 128, 145, 162, 179, 196)

How do you breakdown the quotient for 814÷3.7

Answers

Answer:

move the decimal to the end and add a zero to 814 i think

Step-by-step explanation:

Set up the division problem with the long division symbol or the long division bracket.

Put 487, the dividend, on the inside of the bracket. The dividend is the number you're dividing.
Put 32, the divisor, on the outside of the bracket. The divisor is the number you're dividing by.
step 1 divide dividend by divisor in long division 487 divided by 32 Divide the first number of the dividend, 4 by the divisor, 32.

4 divided by 32 is 0, with a remainder of 4. You can ignore the remainder for now.
step 2 subtraction in long division problem 487 divided by 32 Put the 0 on top of the division bracket.
This is the beginning of the quotient answer.

Next, multiply 0 by the divisor 32 and insert the result 0 below the first number of the dividend inside the bracket.

0 * 32 = 0
step 3 long division 487 divided by 32 Draw a line under the 0 and subtract 0 from 4.

4 - 0 = 4
step 4 long division 487 divided by 32 Bring down the next number of the dividend and insert it after the 4 so you have 48.
step 5 long division 487 divided by 32 Divide 48 by the divisor, 32. The answer is 1. You can ignore the remainder for now.

48 ÷ 32 = 1

Note that you could skip all of the previous steps with zeros and jump straight to this step. You just need to realize how many digits in the dividend you need to skip over to get your first non-zero value in the quotient answer. In this case you could divide 32 into 48 straight away.
step 6 long division 487 divided by 32 Put the 1 on top of the division bar, to the right of the 0. Next, multiply 1 by 32 and write the answer under 48.

1 * 32 = 32
step 7 long division 487 divided by 32 Draw a line and subtract 32 from 48.

48 - 32 = 16
step 8 long division 487 divided by 32 Bring down the next number from the dividend and insert it after the 16 so you have 167.
step 9 long division 487 divided by 32 Divide 167 by the 32. See a pattern emerging?

167 ÷ 32 is 5 with a remainder of 7
step 10 long division 487 divided by 32 Put the 5 on top of the division bar, to the right of the 1. Multiply 5 by 32 and write the answer under 167.

5 * 32 = 160
step 11 long division 487 divided by 32 Draw a line and subtract 160 from 167.

167 - 160 = 7
step 11 long division 487 divided by 32 Since 7 is less than 32 your long division is done. You have your answer: The quotient is 15 and the remainder is 7.

So, 487 ÷ 32 = 15 with a remainder of 7

For longer dividends, you would continue repeating the division

Find the approximate side length of a square game board with an area of 155in2.

Answers

The side of a square is the square root of the area.

Side = sqrt(155)

Side = 12.45 inches. (Round answer as needed)

Need to know asap. If m<8=23°, find the measure of each missing angle. Give your reasoning.

Answers

Answer:

157

23

157

23

157

23

157

Step-by-step explanation:

a straight line is 180 degrees. angle 8 is 23 degrees. we want to know the rest of the angles measures. 180-23=157. angles directly across the vertex are the same measure. and since the lines are parallel 2,4,6,and 8 all have the same measure and 1,3,5,and 7 have the same measure.

look at attached photo

There are 67 questions on an exam. If you miss 8 of these questions your grade is _______ %.

Answers

Answer:

88%

Step-by-step explanation:

There are 67 questions on an exam

You miss 8 questions

The first step is to calculate the number of correct questions

= 67-8

= 59

Therefore the grade can be calculated as follows

= 59/67 × 100

= 0.880 × 100

= 88%

Hence the grade is 88%

SOMEONE please help me!!! pls pls pls!!!

Answers

it is true because 14 is 1/14

Which graph shows the solution of the following system of inequalities :

F
G
H
J

Answers

G is the right answer I just did it no cap

A small apple weighs 4.5 ounces. If it is divided into 4 equal pieces, how much does each piece weigh?

Answers

4÷4.5=0.89
good luck if you need to work shown just let me know

MULTIPLE CHOICE QUESTION
What type of exponent needs absolute value bars?

link
odd
even

Answers

Answer:

even

Step-by-step explanation:

Even is the answerrr

Triangle ABC has coordinates A(2, -5), B(1, -3), and C(6, 1). If the triangle is
rotated 180° clockwise about the origin, what are the coordinates of A'?

Answers

Answer:(2,5)

Step-by-step explanation:

The sum of two numbers is 190. The sum of their digits is 10.

Answers

First number 50 2nd 140?

The base of 14​-foot ladder is 6 feet from a building. If the ladder reaches the flat​ roof, how tall is the​ building?

Answers

Answer:

Approximatly 12.65

Step-by-step explanation:

You would use the pythagorean Theoram for this.

[tex]a^{2}+6^{2}=14^{2}[/tex]

[tex]a^{2}+36=196[/tex]

Subtract 36 from both sides:

[tex]a^{2}=160[/tex]

Square 160 to remove the exponent on "a":

[tex]a=\sqrt{160}[/tex]

[tex]a≈ 12.65[/tex]

If the ladder reaches the flat​ roof, then the height of the building will be 12.65 feet.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The base of 14​ feet ladder is 6 feet from a building. Then the length of the hypotenuse is 14 feet and the base is 6 feet. Then the height of the building will be given by the Pythagoras theorem.

If the ladder reaches the flat​ roof, then the height of the building will be

H² = P² + B²

14² = P² + 6²

196 = P² + 36

P² = 196 - 36

P² = 160

P = 12.65 feet

If the ladder reaches the flat​ roof, then the height of the building will be 12.65 feet.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ2

given g(x)=x^2 and h(x)= x-3 find (g ∘ h)(x)

Answers

Answer:

(g ∘ h)(x) = x² - 6x + 9

Step-by-step explanation:

g(x) = x²

h(x) = x - 3

To find (g ∘ h)(x) substitute h(x) into g(x) that's for every x in g(x) replace it with h(x)

That's

(g ∘ h)(x) = ( x - 3)²

= x² - 3x - 3x + 9

We have the final answer as

(g ∘ h)(x) = x² - 6x + 9

Hope this helps you

12. Determine whether the given number belongs
to each set.
te?
Whole
Numbers
Integers
Rational
Numbers
es
- 34

Answers

Answer:

The number -34 belongs to:

✔️Integers and

✔️Rational numbers

Step-by-step explanation:

-34 is an integer because it can written without a fractional or decimal part.

Rational numbers are said to numbers that can actually be expressed as a fraction with integers. They have no fractional part.

For example,  −34 is a rational number because it can be written as - 34/1.

-34 can be expressed as -34/17, given an integer.

-34 is NOT a whole number because whole numbers are positive numbers.

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