Why can't you use the product of powers rule to simplify
this expression? Explain.
3^4.2^8

Answer: 20

Step-by-step explanation:

Since these are vertical angles, they are equal to each other.

x+40=3x

40=2x

x=20

Answer:

13, 050

Step-by-step explanation:

15,000 by 13% = 1,950

15,000-1,950= 13, 050

Answer:

[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y^{2} } * \sqrt{y} [/tex]

[tex] 2*2*y\sqrt{2*5*7*y} [/tex]

[tex] 4y\sqrt{70y} [/tex]

Step-by-step Explanation:

To find the expressions that are equivalent to

[tex] \sqrt{1,120y^{3} } [/tex]

let's simplify each of the options given to know if we would arrive at

[tex] \sqrt{1,120y^{3} } [/tex]

Option 1:

[tex] \sqrt{2*2*2*2*5*7*y*y} [/tex]

[tex] \sqrt{(2*2*2)*(2*5)*(7)*(y*y)} [/tex]

[tex] \sqrt{8*10*7*y^{2} } [/tex]

[tex] \sqrt{560y^{2} } [/tex]

Not equivalent to the given expression.

Option 2:

[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{5^{2} } * \sqrt{7^{2} } * \sqrt{y^{2} } * \sqrt{y^{2} } [/tex]

[tex] 2 * 2 * 2 * 5 * 7 * y * y [/tex]

[tex] 8*5*7*y*y [/tex]

[tex] 280y^{2} [/tex]

Not equivalent to the given expression.

Option 3:

[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y^{2} } * \sqrt{y} [/tex]

[tex] 2 * 2 * \sqrt{2} * \sqrt{5} * \sqrt{7} * y * \sqrt{y} [/tex]

[tex] 2 * 2 * y * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y} [/tex]

[tex] 4y * \sqrt{2 * 5 * 7 * y} [/tex]

[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]

[tex] \sqrt{16 * y^{2} * 70 * y } [/tex]

[tex] \sqrt{16 * 70 * y^{2} * y } [/tex]

[tex] \sqrt{1,120y^{3} } [/tex]

This option is equivalent.

Option 4:

[tex] 2*2*y\sqrt{2*5*7*y} [/tex]

[tex] 4y\sqrt{70y} [/tex]

[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]

[tex] \sqrt{16 * y^{2} * 70 * y } [/tex]

[tex] \sqrt{1,120y^{3} } [/tex]

This option is equivalent to the given expression.

Option 5:

[tex] 4y\sqrt{70y} [/tex]

[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]

[tex] \sqrt{16y^{2} * 70 * y} [/tex]

[tex] \sqrt{16 * 70 * y^{2} * y} [/tex]

[tex] \sqrt{1,120y^{3} } [/tex]

Equivalent!

Options 3, 4 and 5 are the 3 expressions equivalent to

[tex] \sqrt{1,120y^{3} } [/tex]

Answer:C D E

Step-by-step explanation:

Just did the test

Answer:

5050

Step-by-step explanation:

To solve via calculator, go to the MATH menu, then the 0th option should say "summation" and insert it from there.

To solve algebraically, break the summation into 2 parts. Excuse the strange formatting, I can't find a way to do it normally.

4([tex]\frac{50}{1}[/tex]∑n) -

= 4( [tex]\frac{50(50+1)}{2}[/tex]) - 50(1)

= 5100 - 50

= 5050

Answer:

so the answer is the second one. Hope this working helps

Answer:

25

Step-by-step explanation:

So find the number that is a perfect square and 2 times the square root = 10

The number is 25.

Check:

[tex](x+5)^2=x^2+10x+25[/tex]

Answer:

The answer is 25.

Step-by-step explanation:

25 is a perfect square of 5. When x are added together, they form 10x.

[tex] {(x + 5)}^{2} [/tex]

[tex] {x}^{2} + 2(x)(5) + {5}^{2} [/tex]

[tex] {x}^{2} + 10x + 25[/tex]

There is no picture ; - ;

Answer:

its C

Step-by-step explanation:

Answer: -4

Step-by-step explanation:reverse the steps

3(x-7)= -9

3(x-7)/3= -9/3

x-7= -3

x= -3+7

x= -4

Answer: brainliesss plsss

The cost of a service call to fix a washing machine can be expressed

Step-by-step explanation:

The cost of a service call to fix a washing machine can be expressed by the linear function y=45x+35 where y represents the total cost and x represents the number of hours it takes to fix the machine.

Answer:

whats the real answer?

Step-by-step explanation:

Answer:

the experimental probability is 70%

Step-by-step explanation:

PLEASE HELP, TIMEDThe table shows the results of a survey in which 10th-grade students were asked how many siblings (brothers and/or sisters) they have.

What is the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings?

To the nearest whole percent, the experimental probability is

a. 65%.

b. 70%

c. 75%

d. 80%

We are given to find

the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings

we know that

probability = ( number of favourable outcomes)/ ( total possible outcomes)

a 10th-grade student chosen at random has at least one, but no more than two, siblings

so, there can be one or two siblings

so, total number of such students =18+10=28

Number of favourable outcomes =28

total number of students =4+18+10+8=40

so, total favourable outcomes =40

now, we can find probability

[tex]p=\frac{28}{40}\\\\p=\frac{28}{40}\times 100\\\\p=70[/tex]

So,

Therefore, the experimental probability is 70%

Answer:

answer is B

or 70%

Answer:

g= 1/2

Step-by-step explanation:

9+3.5g=11-0.5g

Add .5 g to each side

9+3.5g+.5g=11-0.5g+.5g

9+4g = 11

Subtract 9 from each side

9+4g-9 = 11-9

4g = 2

Divide by 4

4g/4 = 2/4

g= 1/2

Answer:

o7 fy hk hpxi oyli ifuod pir8

Answer:

Step-by-step explanation:

The slope would be determined either by a graph or a equation

you didn't put it in the  picture...

Answer:

A

Step-by-step explanation:

Because these angles are alternate interior angles and because alternate interior angles of parallel lines are equal, x = y.

Answer: 176m^2

Step-by-step explanation:

The smaller rectangle is taking up space among the larger one. So in order to find the area of this shaded region, you need to subtract that smaller one from the larger one.

12 x 15 = 180

1 x 4 = 4

180 - 4 = 176m^2

Answer:

44

Step-by-step explanation:

To start you have to calculate the perimeter of the white box. 1 times 2 is 2. 4 times two is 8. 8 plus 2 is 10. Then you have to find the perimeter of the purple box. 12 times 2 is 24. 15 times 2 is 30. 24 plus 30 is 54. After that you have to subtract to get the final answer. 54 minus 10 in 44. 44 is the final answer.

Answer:

no

Step-by-step explanation:

all the numbers are multiples of each two.

For example,

2×2=4,

4×2=8,

8×2=16

So, the line would be linear.

// have a great day //

Answer:

The answer is 9

Step-by-step explanation:

56+(3x+7)=90 (In the picture it shows a 90 degree angle.)

Then, you can start solving the equation.

90-56=34

3x+7=34  (Subtract by 7)

3x=27 (Divide by 3 on both sides)

x=9

Answer:

7x = 9

Step-by-step explanation:

3x -2y = 15

4x+2y = -6

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

7x + 0y = 9

7x = 9

Answer:

54cm³

Step-by-step explanation:

V=0.5*b*h

b = 3*9 = 27cm²

h=4cm

V=0.5*4*27=54cm³

Answer:

The exact length of the third side would be 9.

Step-by-step explanation:

To find the length of the triangle, just add the height (6) and the base (3) which equals 9.

Answer:

[tex]S_n =[/tex] -2497

Step-by-step explanation:

We are given an arithmetic series with the following terms:

First term, [tex]Q_1[/tex] = -40

Common difference, d = -7

Number of terms, n = 22

To find out: Sum of n terms, where n is 22

We know that Sum of n terms in an arithmetic series is given as:

[tex]S_n =\dfrac{n}{2} (2Q_1+(n-1)d)[/tex]

Putting the values in the formula:

[tex]S_{22} = \dfrac{22}{2} (2 \times -40+(22-1)\times (-7))\\\Rightarrow S_{22} = 11 \times (-80-147)\\\Rightarrow S_{22} = 11 \times (-227)\\\Rightarrow S_{22} = -2497[/tex]

So, the sum of 22 terms is -2497.

Answer: side TQ 17 units

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Answer: ill try to do #3 for you

A. money= dependent (depends on days)

days= independent

B. im guessing its this: m=250d

C. $250x 10 days= $2,500 he will need to save

also #4 is y-2x-2

if this is all correct could u mark my answer brainliest if you want to thanks!

Answer:

Each pendant = 3.60

Step-by-step explanation:

3 necklaces made of beads and pendants

The total is 20.10

20.10 = 3( beads + pendant)

Distribute

20.10 = 3 beads + 3 pendant

The total for the beads is 9.30

Replace the 3 beads  with 9.30

20.10 = 9.30+ 3 pendant

Subtract 9.30 from each side

20.10-9.30 = 9.30+ 3 pendant - 9.30

10.80 = 3 pendant

Divide each side by 3

10.80/3 = 3 pendant/3

3.60 = pendant

Answer:

12 units³

Step-by-step explanation:

The required formula is V = (1/3)πr²h, where r is the radius and h is the height.  Here we get:

V = (1/3)π(2)²(9) = (1/3)π(9)(4) = 12 units³

Answer:

DB

It's the only line that is not a segment.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Subtraction mean how much less than a number

Answer:

i hope this helps you

Answer: 5/8

Step-by-step explanation:

Answer:

k = [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

The standard form of an equation representing proportion is

y = kx ← k is the constant of proportionality

y = [tex]\frac{5}{8}[/tex] x ← is in this form

with k = [tex]\frac{5}{8}[/tex]