Select all of the equations that show properties of exponents applied correctly
510
55
-52
5
4
8
3
= 424
1
10-4 =
410
156 153 = 1518
(68)º=1
Shut

Select All Of The Equations That Show Properties Of Exponents Applied Correctly51055-525483= 424110-4

Answers

Answer 1

Answer:

Options (a), (b), (e)

Step-by-step explanation:

a). [tex]\frac{5^{10}}{5^{8}}=5^{10-8}[/tex]

          = 5²

    True.

b). (4⁸)³ = [tex]4^{8}\times 4^8\times 4^8[/tex]

            = [tex]4^{24}[/tex] [Since, [tex]x^{a}\times x^{b}\times x^c=x^{a+b+c}[/tex]]

    True.

c). [tex]10^{-4}=\frac{1}{10^4}[/tex]

    And [tex]\frac{1}{4^{10}}\neq \frac{1}{10^4}[/tex]

    False.

d). [tex]15^{6}\times 15^{3}=15^{6+3}[/tex]  [Since, [tex]x^{a}\times x^{b}=x^{a+b}[/tex]]

                    = 15⁹

    And [tex]15^{9}\neq 15^{18}[/tex]

    False.

e). [tex](6^{8})^{0}=1[/tex] [Since, a⁰ = 1]

    True.


Related Questions

Which three expressions in the table below have a solution of 10 when
x = -1 and y = 2

Answers

Answer:

The expressions are;

-5(x)(y)

8-y/x

Step-by-step explanation:

Here, we want to select expressions on the table having a solution of 10, given the value of x and y

For ;

-x(10) = -1(10) = -10

x + y + 7

-1 +2 + 7 = 8

8 -y/x = 8-(2/-1) = 8 + 2 = 10

-5(x)(y)

= -5(-1)(2) = 10

16-x + y - 7

16-(-1) + 2 - 7

16 + 1 + 2 - 7 = 12

A+(-5)=-9

Solve the equation for the value of the variable show all work can someone help me

Answers

Answer:

A=-4

Step-by-step explanation:

A-5=9

A-5+5=-9+5

Then simplify and you get A=-4

Answer:

A=-4

Step-by-step explanation:

A+(-5)=-9

A-5=-9

A=-9+5

A=-4

Help please????????????

Answers

the answer is b i think

Given angle m ROS = 89°, the angle would be classified as:
O Acute
O Right
O Obtuse
O Straight

Answers

Answer:

Step-by-step explanation: Acute

Answer:

Step-by-step explanation:

acute

If sin3A=-root 3 / 2 , find the values of A where 0 degrees is greater to or equal than A is greater to or equal than 360 degrees

Answers

Answer:

A is 20°

Step-by-step explanation:

Given sin3A = (√(3))/2. To find A we firstly take the sin^-1 of both sides and we have:

3A = sin^-1(√(3)/2)

We know that sin60° = √(3)/2. Therefore, sin^-1(√(3)/2) = 60°. Hence, we have

3A = 60°.

To get A, divide both sides by 3:

.A = 20°. Therefore, A is 20°.

Carmen has a recipe that requires 1 and 1/2 cups of flower. He has 7 and 1/2 cups of flour in the pantry. What is the maximum number of times Carmen can make this recipe?

Answers

Answer:

B

Step-by-step explanation:

55

The maximum number of times the Carmen can make the recipe will be equal to 5 times.

What is arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given information in the question,

Flower cups required for the recipe = 1 1/2 = 3/2 = 1.5 cups

Total flower cups available = 7 1/2 = 15/2 = 7.5 cups

Then, the number of times he can man the recipe is,

= 7.5 / 1.5 = 5 times.

To know more about arithmetic operations:

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Someone please solve x for me

Answers

Answer:

x = 20

Step-by-step explanation:

added together, the angles make 180

3x + 80 + 2x = 180

subtract 80 from both sides of the equation

3x + 80 - 80 + 2x = 180 - 80

combine like terms

5x = 100

divide both sides by 5

5x/5 = 100/5

x = 20

Answer:

x = 20

Step-by-step explanation:

added together, the angles make 180

3x + 80 + 2x = 180

subtract 80 from both sides of the equation

3x + 80 - 80 + 2x = 180 - 80

combine like terms

5 x = 100

divide both sides by 5

5x/5 = 100/5

x = 20

what is equal to 3/6 (who ever answers first gets to be the brainliest <3) BTW THIS IS MATH!!

Answers

i think the answer could be 1/2

The factor tree for 1,764 is shown.
What is the simplest form of 1,764?
1,764
21
42
32(72)
22(32)(72)
882
441
9
49
3
3
7

Answers

The requried simplest form of 1764 is given as (42)², as per the given condition.

What are the factors?

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

The factor tree for 1,764 is:

1,764 ÷ 2 = 882

882 ÷ 2 = 441

441 ÷ 3 = 147

147 ÷ 3 = 49

49 ÷ 7 = 7

So, the prime factorization of 1,764 is 2 × 2 × 3 × 3 × 7 × 7 = 2² × 3² × 7².

The simplest form of 1,764 is 2² × 3² × 7²,
which can also be written as (2 × 3 × 7)² = (42)² = 1,764.

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Factor the following polynomial completely x2 - 3x - 10

Answers

Answer:

the answer is (x-5) (x+2)

There were 160 people who voted at the town council meeting. Of these people, 60% voted for building a new basketball court in the park.

How many people voted against building the new basketball court? Complete the explanation of how to find the answer.

60% of 160 equals___ and 160 −___ = ___.

There are___ people that are against building the basketball court.

Answers

Answer:

160/100 X 60 = 96

160 - 96 = 64

there are 64 people against.

Melanie saves $20 every month in her savings account. She withdrew $60 one time to go shopping. She now has $280 in her account. Which equation represents this situation?

20m/60 = 280
20m/60 = 280

20m + 60 = 280
20m + 60 = 280

20m - 60 = 280
20m - 60 = 280

20m (60) - 280

Answers

Answer:

20m - 60 = 280

Step-by-step explanation:

please help me please will give brainliest to anyone who is good ​

Answers

Answer:

D

As temperature increases, so does mpg meaning better milage in warmer temperatures

Please help me with this homework

Answers

25. Non linear, when there is a square, cube, or reciprocal, it will be not be be a linear graph.

26. Linear. A linear equation is y=mx+c. In this case, c is 0. Y increases when x increases proportionally.

Answer:

The first one is not linear equation and the second one is linear equation but I am not sure about the second one

Step-by-step explanation:

Linear equation has constant slope but non linear equation has vary slope

Select the number line that shows that two opposite numbers have a sun of 0

Answers

Answer:

Line A

-3+3=0

Step-by-step explanation:

A is your answer hope this helps

Determine the slope of
the line between each
pair of points.
1. (0, 10) and (3, 12)

Answers

Answer:

(1.5, 11)

Step-by-step explanation:

The slope of the line is 12-10/3-0=2/3 . The slope is 2/3. It is the rise over the run. Hope this helps!( would appreciate brainlist please)

please look at the attachment below (': i feel so d\/mb right now

Answers

Answer:

probably the bottom left because it would be equal

Step-by-step explanation:

I hope this helps and you are not d.u.m.b, we just have those days sometimes. lol and this isn't really that easy.

Bottom left because it’s equal

For Exercises 8-10, use trapezoid DEFG with EG = 21 ft and m DGF = 77 to find each measure.
8. ED =
9. DF =
10. m<DEF=

Answers

Answer:

what class is this ???

Step-by-step explanation:

The value of each measure are,

8. ED = 16 ft

9. DF = 21 ft

10. m ∠DEF = 103°

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

In trapezoid DEFG,

⇒ EG = 21 ft and m ∠DGF = 77°

Now, We know that;

In trapezoid, The sum of the angles on the same side is equal to 180°.

Hence, We get;

⇒ ∠ DGF = ∠ GDE = 77°

And, We get;

⇒ ∠ DEF + ∠ EDG = 180°

⇒ 77° + ∠ DEF = 180°

⇒ ∠ DEF = 180° - 77°

⇒ ∠ DEF = 103°

Since, In trapezoid opposite non parallel line are equal in length.

Hence, We get;

⇒ ED = FG

⇒ ED = 8 + 8

⇒ ED = 16

In trapezoid, Diagonal are equal in length.

Hence, We get;

⇒ DF = EG

⇒ DF = 21 ft

Learn more about the angle visit:;

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(PLS HELP ITS EASY) which of the following is a solution to the system of equations shown below?
1 x=10 and y=21. 2x+3y=83
2 x=7 and y=23. y=2x+9
3 x= -4 and y=1
4 x=4 and y=25

Answers

Answer:

A solution of the system of equation given in the question is;

(2) x = 7 and y = 23

Step-by-step explanation:

The given system of equation are;

2·x + 3·y = 83...(1)

y = 2·x + 9...(2)

Substituting the value of y = 2·x + 9 from equation (2) into equation (1) gives;

2·x + 3·y = 2·x + 3 × (2·x + 9) =  83

∴ 2·x + 6·x + 27 = 83

8·x = 83 - 27 = 56

x = 56/8 = 7

x = 7

By substituting the value of x = 7 derived above into equation (1), we have;

y = 2·x + 9

Where;

x = 7

y = 2 × 7 + 9 = 14 + 9 = 23

y = 23.

15=.19(x)+3.78
would you mind giving an explanation? I really need to understand this. thanks!

Answers

Answer:

0.59

Step-by-step explanation:

first you have to find x, you do that by getting x by its self. when you do this you do the opposite arithmetic (equation sign like - or +) on both sides of the equal sign. for example since its plus 3.78 you have to subtract 3.78 on both sides of the equal sign, so on so on till you are left with only x on one side of the equal sign

How do I solve this question?

Answers

find the coordinates of the intersection point in the form (x, y). That should give you your answer (3, 2). I believe this is correct

On a unit circle, the terminal point of Ø is (1/2, square root 3/2), what is the cos Ø?

A. 1/2
B. Square root 3/3
C. Square root 3/2
D. Square root 3

Answers

The cosine of Ø is: [tex]\frac{1}{2}[/tex]

The ordered pair of a unit circle is represented as:

[tex](x,y) \to (\cos(\theta),\sin(\theta))[/tex]

The given parameters can be represented as:

[tex](x,y) \to (\frac{1}{2},\frac{\sqrt 3}{2})[/tex]

Recall that:

[tex](x,y) \to (\cos(\theta),\sin(\theta))[/tex]

Compare the above representation to:

[tex](x,y) \to (\frac{1}{2},\frac{\sqrt 3}{2})[/tex]

This means:

[tex]\cos(\theta) = \frac{1}{2}[/tex] and [tex]\sin(\theta) = \frac{\sqrt 3}{2}[/tex]

Read more about unit circle at:

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If Jessica earns 2000$ a month. How long would it take Jessica to earn 23,000?

Answers

Answer:

11.5 months

Step-by-step explanation:

All you have to do is divide 23,000 by 2,000

545,00000952 your welcome :)

Preston works at a grocery store and earns between $64 and $81 each day he works. Which is a reasonable estimation of how much Preston will earn if he works 5 days?

Answers

Answer:

[tex]P=\$362.5[/tex]

Step-by-step explanation:

From the question we are told that

Preston Earns \triangle x=$64-$81

Number of days D=5 days

Generally the average amount of money made by Preston is given by

[tex]X_a_v_g=\frac{64+81}{2}[/tex]

[tex]X_a_v_g=\$72.5[/tex]

Generally  a reasonable estimation of how much Preston will earn if he works 5 days P is mathematically given by

[tex]P=72.5*5[/tex]

[tex]P=\$362.5[/tex]

geometry:(
*image shown above*

Answers

Answer:

m perpendicular = − 3 /4

=-3/4 I Think But have a good day

please help asap

What is the y-coordinate of the solution to the system of linear equations below?

4x + 5y = 8
2x - 3y = -18​

Answers

The coordinate would be (-3,4) so the answer is 4

In In 1/2 an hour, Jeffrey walked 3/4 of a mile how many miles would Jeffrey walk in one hour

Answers

Answer:

1 2/4

Step-by-step explanation:

x2

If p(x) = 2x - 5 and r(x) = 3x + 4, calculate (pr)(x).
A 6x2 - 7x - 20
B 6x² +7X-20
C 5x - 1
D 6x2 - 20

Answers

Answer:

A) 6 x² - 7x - 20

Step-by-step explanation:

Explanation:-

Given p(x) = 2 x-5 and r (x) = 3 x +4

(pr)(x) = p(x) r(x)

         = (2x -5)( 3 x +4)

        = 2x(3x +4) -5( 3x +4)

       = 6 x² + 8x - 15 x - 20

       =  6 x² - 7x - 20

(pr)(x) = 6 x² - 7x - 20

do these ordered pairs satisfy a linear function? explain (1,-5),(1,0)(1,5)(1,10)

Answers

Answer:

Yes, because the x-coordinate does not change. It would be a vertical, linear solution.

x + 4y = 7
4x – 3y = 9

Answers

Answer

{3,1}

Explaination

3 +4=7[1]    x = -4y + 7

// Plug this in for variable  x  in equation [2]

  [2]    4•(-4y+7) - 3y = 9

  [2]     - 19y = -19

// Solve equation [2] for the variable  y

  [2]    19y = 19

  [2]    y = 1

// By now we know this much :

   x = -4y+7

   y = 1

// Use the  y  value to solve for  x

   x = -4(1)+7 = 3

Solution :

{x,y} = {3,1}

               

274/484884 /378383/3738
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