Use the properties of exponents to simplify the expression: 2532
25
3
2


Question 11 options:

A)

125

B)

25

C)

625

D)

5
Question 12 (5 points)
Solve the inequality: (x −3)12+ 2 ≥4
(
x

-
3
)
+

2


4
Question 12 options:

A)

x ≥ 35

B)

x ≥ 11

C)

x ≥ 7


D)

x ≥ 13

Answers

Answer 1

Question

Use the properties of exponents to simplify the expression: [tex]25^{\frac{3}{2}}[/tex]

Answer:

[tex]25^{\frac{3}{2}} = 125[/tex]\

Step-by-step explanation:

Given

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

Required

Simplify

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

Apply the following law of indices

[tex]a^{\frac{m}{n}} = (a^m)^{\frac{1}{n}}[/tex]

So, the expression becomes

[tex]25^{\frac{3}{2}} = (25^3)^{\frac{1}{2}}[/tex]

Express [tex]25^3[/tex] as 15625

[tex]25^{\frac{3}{2}} = (15625)^{\frac{1}{2}}[/tex]

In indices: [tex]a^{\frac{1}{2}} = \sqrt a[/tex]

So, we have:

[tex]25^{\frac{3}{2}} = \sqrt{15625[/tex]

[tex]25^{\frac{3}{2}} = 125[/tex]


Related Questions

qwesdddddddfffffffggggggggggggggggggggggggggggggggggggggg

Answers

Answer:

Step-by-step explanation:

kjiuhytresdzxiu8y765re4rsdxfbhgytfyrdeswaszxdfcg

can i be brainliest plz!!! i need one more brainliest so i can go to the next level

3. A number increased by 5 and divided by 2 is equal to 75. What is the number?

Answers

Answer:

633

Step-by-step explanation:

Please help! Question posted above ^

Answers

Answer:

( x^2 - 6 )^2

Step-by-step explanation:

x^4 -12x^2 +36Find one factorFactor by grouping(x^2 - 6x) (x^2 - 6x)

*solution* ( x^2 - 6 )^2

WHAT IS QUARTER OF 74?

Answers

Answer:

18.5

Step-by-step explanation:

I majored on Mathematics

Answer:

18.5

Step-by-step explanation:

74/4=18.5

what is the remainder and quotient of 11/3​

Answers

Answer:

The remainder of 11 divided by 3 is 2. The quotient is 3.

Step-by-step explanation:

3 goes into 11 three times. 3 x 3 = 9. 11 - 9 = 2. 3 can't go into 2 so bring the two up and you get your answer of 3 r 2.

Andy was scuba diving while his friend Ramon was climbing a mountain. If Andy was at an elevation of -100 feet, and Ramon was at an elevation of 975 feet, what was the difference in elevation (in feet) between Andy and Ramon?

Answers

Answer:

1075 feet

Step-by-step explanation:

i need help with this!! i have to get my hw done quick!!

Answers

Step-by-step explanation:

221+w=274..................

.......

Answer:

53 + 221 = 274

Step-by-step explanation:

I'm pretty sure its saying

w + 221 = 274

and in this case, w = 53

because if you subtract 274 by 221 you get 53.

Best of luck to you!!!

Guys help me please I need the solution. Find x and y

Answers

X would be 4 I believe

8.3 + 3.4y - 0.5 (12y - 7)

Answers

Answer:

-2.6y + 11.8

Step-by-step explanation:

Distribute -0.5 into 12y and -7 to get to this equation, 8.3 + 3.4y - 6y + 3.5.  Combine the two like terms together to get your answer which is -2.6y + 11.8.

Starting from the number you walked to in Part c, walk to the opposite of that number. Which number did you end up on? How many steps did you take?

Answers

Answer:

The opposite number would probably be -3, and it'd take 6 steps. Sorry if this is wrong. If it is, I'll correct it! :)

Step-by-step explanation:

please answer asap don’t troll!!!

Answers

you will do as you said yes yes i is fine with me but i’m going on the right now so bye bye u it was correct that

why is it when you take a shower and you come out clean, how does the towel become dirty? This some real mathematics

Answers

okay. so, when you wash your hair, there is no way to get 100% of the shampoo/conditioner out of your hair, so the excess it rubbed onto the towel. Say you have no hair. The shower isn't germ-free, so even if you feel clean, the towel and yourself is still a harbor of germs, good and bad.

The system shown has (blank)
solution(s).
y= -x+1
2y - x = 2

Answers

Answer:

x=0 and y=1

Step-by-step explanation:

The radius of a circle is 4 kilometers. What is the circle's area?
r=4 km
Use 3.14 for .
square kildmeters
Submit

Answers

Answer:

50.27km

Step-by-step explanation:

divide the circumference by 3.14 ( pi ) to find the diameter of the circle. Half the diameter is the radius. Square the radius and multiply by pi to find the area of the circle.

Answer:

Step-by-step explanation:

What is the (fg)(x) if
f(x)=(4x - 1) and g(x)=(3x + 5)?
A. 7x + 4
B. 12x2-5
C. 12x2 + 17x-5
D. 12x2 + 23x - 5


Show work

Answers

(4x - 1)(3x + 5)

12x^2 + 20x - 3x -5

12x^2 + 17x -5

The answer is C.

PLEASE HELP!!!! Liner equations & graphs!!! I REALLY NEED HELP W THIS !!!!

Answers

Answer:

line X

Step-by-step explanation:

You invested $1,000 in a savings account at the end of 7th grade. The account pays 5% annual interest. How much money will be in the account after 6 years? Round to the nearest hundredth. * 1 point

Answers

Step-by-step explanation:

1000 x .05= 50.

1000 + 50= 1050

1050 x 6= 6300

QR is parallel to ST Rs is parallel TU QS is congruent to SU

prove QRS is congruent to STU

Answers

Answer:

hope my answer is helpful to you

plz mark me as brainlist and also follow me

As QR is parallel to ST Rs is parallel TU QS is congruent to SU the measure of their included angle is also same ∠QRS ≅ ∠STU.

What is congruency?

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given, Line segment QR is parallel to line segment ST.

Line segment RS is parallel to line segment TU, And line segment QS is similar to line segment SU.

So, The included angle of two pairs of parallel lines will also be the same as

line segment QS is similar to line segment SU.

∴ ∠QRS is similar to ∠STU.

learn more about congruency here :

https://brainly.com/question/7888063

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if im a bot, then, what are you?-

Answers

A hallucination;))))))

Two submarines began dives in the same vertical position to meet at a designated point.

If one submarine was on a course approximated by the equation x + 4y = -14 and

the other was on a course approximated by the equation x + 3y = -8, at what location would they meet?

Answers

Answer:

(10, -6)

Step-by-step explanation:

The solution of the system of the equations given would be the location that they would both meet.

Let's solve:

x + 4y = -14 ----› Eqn. 1

x + 3y = -8 -----› Eqn. 2

Subtract Eqn. 2 from Eqn. 1

y = -6

Substitute y = -6 into Eqn. 1.

x + 4y = -14 ----› Eqn. 1

x + 4(-6) = -14

x - 24 = -14

x = -14 + 24 (addition property of equality)

x = 10.

The answer is: (10, -6)

is 63 / 168 equivalent to 312 / 832 ​

Answers

Answer:

No

Step-by-step explanation:

312 is not a multiple of 312 and 832 is not a multiple of 168.

Hope this helps :)

Answer:

They are equivalent.

Step-by-step explanation:

63 / 168 = 312 / 832

Substitute x=3y+1 into the expression-x -7 and simplify

Answers

Answer:

Step-by-step explanation:

x-7

3y+1-7

3y-6

Type your answer into the box.
Daisy is given a scale drawing with the route to her campsite.
The route to the campsite is 28 cm on the drawing.
The scale on the drawing is 1:300
What is the actual length of the route?
metres​

Answers

Given that :

The route to the campsite is 28 cm on the drawing.

The scale on the drawing is 1:300

To find,

The actual length of the route.

Solution,

Let the actual length of the route be x.

Here, map distance : actual distance = 1: 300

[tex]\dfrac{1}{300}=\dfrac{28}{x}\\\\x=28\times 300\\\\x=8400\ cm[/tex]

So, the actual length of the route is 8400  cm.

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution.

Answers

Answer:

only one solution

Step-by-step explanation:

Complete question:

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x − y = 2 3x + y = −6 one and only one solution infinitely many solutions no solution Find the solution, if one exists. (If there are infinitely many solutions, express x and y in terms of the parameter t. If there is no solution, enter NO SOLUTION.) (x, y) =

Given the expression

2x − y = 2 .... 1

3x + y = −6  ..... 2

We are to determine the number of solution the equation has:

Add equation 1 and 2

2x + 3x = 2 - 6

5x = -4

x = -4/5

Substitute x = -4/5 into 1

From 1: 2x − y = 2 .... 1

2(-4/5) - y = 2

-8/5 - y = -2

-y = -2+8/5

-y = -10+8/5

-y = -2/5

y = 2/5

Since the value of x and y are just 1 hence the system of equations has ine solution

Find the zeros of the function and state the multiplicities.

f(x)= -6x^3+26x^2-28x

Answers

Answer:

X=0 {multiplicity of 1}

X=2 {multiplicity of 1}

X=7/3 {multiplicity of 1}

Step-by-step explanation:

Can someone help me find the perimeter of this

Answers

Answer:

Perimeter is 60.4 + 4x

Step-by-step explanation:

12.2 + 12.2 + 4(x+9)

= 24.4 + 4x + 36

= 60.4 + 4x

Answer:

2/5 • (151 + 10x )

Step-by-step explanation:

(This is going to be a long one so i apologize in advance)

First, you need to simplify the equation you're given for this particular shape by collecting terms and calculating the sums:

12.2 + x + 9 + x + 9 + 12.2 + x + 9 + x + 9

61/5 + x + 9 + x + 9 + 61/5 + x + 9 + x + 9

122/5 + 4x + 36

2/5 • (61 + 5 • 2x + 5 • 18)

2/5 • (61 + 10x + 90)

2/5 • (151 + 10x )

Find the exact length of the third side.
41
9
what’s the other side

Answers

Step-by-step explanation:

[tex] {d}^{2} = {a}^{2} + {b}^{2} \\ 41 = 9 + {b}^{2} \\ {b}^{2} = 41 - 9 \\ {b}^{2} = 32 \\ b = \sqrt{32} \\ b = 5.66 \:[/tex]

Find f(-2) for (x) = 2(4)x

Answers

Answer:

-16

Step-by-step explanation:

The question asks to find x from 2(4)x if x = -2

All that we have to do is substitute to get our answer :

f(-2) for (x) = 2(4)x

f(-2) = 2(4)(-2)

f(-2) = 2(-8)

f(-2) = -16

Therefore, x = -16

Answer:

-16

Step-by-step explanation:

Plug in -2 for x and then multiply 2 and 4 to get 8 (-2) which is then -16. Hope that helps!

In rhombus ABCD , m∠EAB=27∘ .

What is m∠EBC ?

Enter your answer in the box.
m∠EBC = °
Rhombus A B C D with diagonals B D and A C intersecting at E.

Answers

Answer:

63°

Step-by-step explanation:

ABCD (rhombus): AC ⊥ BD and bisect at E and same length of 4 sides

∠EBA = 90 - 27 = 63

∠EBC = ∠EAB = 63°

HELP ASAP WILL GIVE BRAINLY


Exercises
Determine whether each solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces.
edges, and vertices.

Answers

Answer:

1 and 2 are not polyhedrons, as a circle has infinite sides

1. cone, 1 vertex

2. sphere, nothing

3. pentagonal prism?

wait but can't every face be a base???

anyway 7 faces, 10 vertices

4. triangular prism

5 faces, 6 vertices

Step-by-step explanation:

We have given the figure

We have to determine whether each solid is a polyhedron.

Then identify the solid.

If it is a polyhedron, name the bases, and faces.

edges, and vertices.

What is the vertex?

A vertex is a point of where the first derivative of curvature is zero. This is typically a local maximum or minimum of curvature, and some authors define a vertex to be more specifically a local extremum of curvature.

1 and 2 are not polyhedrons, as a circle has infinite sides

1. cone, 1 vertex

2. sphere, nothing

3. pentagonal prism

anyway 7 faces, 10 vertices

4. triangular prism

5. faces, 6 vertices

To learn more about the polyhedron visit:

https://brainly.com/question/24324783

#SPJ2

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