Simplify completely. Leave your answer in exponential form:

Simplify Completely. Leave Your Answer In Exponential Form:

Answers

Answer 1

Answer:

[tex] {2}^{3} \times {4}^{3} \times 9[/tex]

Step-by-step explanation:

Using the division rule when dealing with exponents

[tex] \frac{b {}^{h} }{b {}^{j} } = b {}^{h - j} [/tex]

meaning that when we divide exponents that have the same base but different powers we can subtract the power of the bottom exponent from the top exponet.

so using that we are going to do 2, 4 and 9

[tex] \frac{2 {}^{8} }{ {2}^{5} } = {2}^{8 - 5 = 3 \: \: \: \: \: 2 {}^{3} } [/tex]

[tex] \frac{ {4}^{4} }{ {4}^{1} } = {4}^{4 - 1} \: \: \: {4}^{3} [/tex]

[tex] \frac{9 {}^{9} }{ {9}^{8} } = {9}^{9 - 8} = 9 {}^{1} [/tex]

Combine all the terms and we get

[tex] {2}^{3} \times 4 {}^{3} \times {9}[/tex]


Related Questions

Multiply (3x + 2) (4x-5)

Answers

Answer:

12x^2-7x-10

Step-by-step explanation:

I did binomial into binomial method

3x(4x-5)+2(4x-5)

12x^2-15x+8x-10

12x^2+(-15+8)x-10

12x^2-7x-10

The answer is 12x^2-7x-10

Independent Practice


In 2002, the price of mailing a letter was $.34 for the first ounce or part of an ounce and $.21 for each ounce or part of an ounce after the first ounce.


Write a rule to describe the function. How much did it cost to mail a 4-ounce letter?


A.
f(x) = 0.21(x – 1); $.63


B.
f(x) = 0.34 + 0.21x; $1.18


C.
f(x) = 0.34 + 0.21(x – 1); $.97


D.
f(x) = 0.34x + 0.21(x – 1); $1.99

Answers

Answer:

C.

f(x) = 0.34 + 0.21(x – 1); $.97

Step-by-step explanation:

In 2002, the price of mailing a letter was $.34 for the first ounce and $.21 for each ounce after the first ounce. Write a rule to describe the function.

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

 

Price = 0.34 + 0.21(x-1) where x is the weight of the item in ounces.

Let +x+ = weight of the letter in ounces

Let +P+ = the price of mailing the letter in dollars

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

+P+=+.34+%2B+.21%2A%28+x+-+1+%29+

( +x+%3E=+1+ )

 

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

A 4-ounce letter costs

+P+=+.34+%2B++%28+4+-+1+%29%2A.21+

+P+=+.34+%2B+.63+

+P+=+.97+

It costs $.97

Ethan surveyed 780 of the students in his school about their favorite color. 507 students said their favorite color was purple. What percentage of the surveyed students said their favorite color was purple?

Answers

65% said their favorite color was purple.

2x + 3 + 4x + 6 + 12x + 18 = 477

Please answer with solving steps. Thanks guys :)

Answers

Answer:

x= 25

Step-by-step explanation:

2x + 3 + 4x + 6 + 12x + 18 = 477

FIRST combine like terms

take all "x"

2+4+12= 18x

take all whole numbers

3+6+18= 27

18x+27= 477

now solve for x

-27 on both sides

18x= 450

÷18 on both sides

x= 25

yoi have to add the variables so 2x +4x+12x=18x and concombine like terms so 3 +6+18=27 so you have to put tbat together 18x+27=477 then you have to get x alone so you have to subtract 27 in both sides 27-27=0 then 477-27=450 then you have to do the oppsite of multiply so you have to divide 18x/18x and 450/18x 18÷18 is 1 so you just have to put x and then divide 450÷18=25 so x=25.

Find the height x of the triangle? 90 100

Answers

Is it 190? I’m not sure

LOTS OF POINTS hard math though

Answers

False because x is -5

Answer:

n o

Step-by-step explanation:

The price of a washing machine is reduced by 20% for a sale.
Afterwards, the sale price is increased by 30%.

Joachim says

The washing machine is now 10% more expensive than before the sale.

Explain Joachim’s error and work out the correct percentage change in the price of the washing machine from before the sale to after the sale

Answers

Answer:

1) Joachim's error is in applying the 30% increase to the initial price of the washing machine, 'x', rather than the reduced price of the washing machine for the sale, which is 0.8·x

2) The correct percentage change in price is 4%

Step-by-step explanation:

The price of the washing machine has the following parameters;

The percentage reduction of the price of the washing machine for a sale = 20%

The percentage by which the price is increased afterwards = 30%

Let 'x' represent the initial selling price of the washing machine before the price decrease, and let 'P' represent the sale price after the price increase, we have;

The price after the 20% reduction = x - 20% × x = x - (20/100) × x = 0.8·x

The price after the 30% increase after the sale = 0.8·x + 30% × 0.8·x = 0.8·x + 30/100 × 0.8×x = 0.8·x + 0.3 × 0.8·x = 1.04·x = x + 0.04·x = x + (4/100) × x = x + 4% × x

Therefore, Joachim's error is in applying the 30% increase to the initial price of the washing machine, 'x', rather than the reduced price of the washing machine for the sale, which is 0.8·x

2) The percentage change in the price after the sale is given as follows;

Price of the washing machine after the sale, P = 1.04·x = (104/100) × x = 104% × x

∴ P = 100%x + 4%x = (100/100)·x + 4%x = x + 4%

The percentage change in price = P - x = x + 4% - x = 4%

The correct percentage change in price = 4%

Please help me will give Brain!

Answers

Answer:

?=104

Step-by-step explanation:

180-76=104

Find the area of a trapezoidal tabletop, if its parallel sides are 2 m and 3 m long and the perpendicular distance
between them is l m.

Answers

Answer:

The area of the trapezoidal table top is 2.5 m²

Step-by-step explanation:

The area, A, of a trapezoid is given as half times the sum of the parallel side multiplied by the perpendicular distance between them

Therefore, we have;

[tex]A = \dfrac{a + b}{2} \times h[/tex]

The given parameters of the trapezoidal table top are;

The length of the parallel sides = 2 m and 3 m

The length of the perpendicular distance between the parallel sides = 1 m

Where, for the rectangular table top, we have;

'a', and 'b' = The lengths of the parallel sides = 2 m and 3 m respectively

h = The perpendicular distance between the parallel sides = 1 m

By substituting in the values, we have;

[tex]A = \dfrac{2 \ m + 3 \ m}{2} \times 1 \ m = 2.5 \ m^2[/tex]

The area of the trapezoidal table top, A = 2.5 m².

Find the value of x.
B
х
6
2
A
D
3
С

Answers

it would be 6. if it’s wrong i’m sorry

Answer:

the answer is 4

Step-by-step explanation:

5x to the second power minus 5x

Answers

Answer:

the answer us 20x

Step-by-step explanation:

5x^2-5x

25x-5x

20x

this answer is 20x hope this helped b

What is included in a total monthly mortgage payment?
O A. Principal, investment, taxes, and insurance
B. Payment, interest, taxes, and insurance
O C. Principal, interest, taxes, and insurance
D. Principal, interest, title, and insurance

Answers

your answer is C. principal interest taxes and insurance

Total monthly mortgage payment includes option C. Principal, interest, taxes, and insurance.

What is Mortgage Payment?

Mortgage is defined as a type of loan which are typically used to finance or maintain a property which can be land or other kinds of rentals.

They are referred to as secured loans.

Total monthly mortgage payment consist of mainly four components.

They are :

Principal InterestTaxes Insurance

The main components are principal and interest.

Principal amount is the amount that you borrowed for your purpose.

Interest payment is the amount that the lender charges which varies.

Hence the option is C.

To learn more about Mortgage Payments, click :

https://brainly.com/question/24174269

#SPJ7

answer this and ill give brainliest

Answers

Answer:

-4.65< -4 and 2/5

Step-by-step explanation:

To solve, this we can convert the fraction -4 and 2/5 into a decimal so that the values can be more easily compared. When we do this, we get the result that -4 and 2/5 equals -4.4. Now we can clearly see which value is greater because they are written in the same form:

-4.65<-4.4

-4.65<-4 2/5

Answer:

<

Step-by-step explanation:

You have to convert the mixed number by multiplying the whole number by the denominator, adding the numerator, and dividing the sum by the denominator.

4x5=20

20+2=22

22÷5=4.4

-4.65 < -4.40

WILL GIVE BRAINLIEST AND 20 POINTS!
Find m∠x given m∠y = 25°.

Answers

Step-by-step explanation:

If <y=A

In this case 360-25=335

Suppose you deposited ​$100 in a savings account 4 years ago. The simple interest rate is 2.9%. The interest that you earned in those 4 years is ​$11.60. Which of the following​ is/are true?

A. t=4
B. p=2.9%
C. I=11.60
D. r=100

Answers

Answer:

T=4

l=11.60

Step-by-step explanation:

T is for time,and time given is 4.

so t=4 years

and Interest given is 11.60 bucks

so I=11.60

keep in mind that PRINCIPAL IS NEVER A PERFENTAGE!

RATE IS ALWAYS A PERCENTAGE!

Here, principal is 100 bucks and rate is 2.9%

also keep in mind that principal isnalways greater than interest.

thank you

Please Help 1 24 + r ; r = 9 2 2a + 3 ; a = 10 3 Bc + 12.3 ; b = 9, c = 4 4 p ÷ q ; p = 24, q = 8 5 4c - 7.8 ; c = 4 6 c - a ; a = 3, c = 17 7 a ÷ 2c ; a = 20, c = 2 8 3x - 14 ; x = 5 9 1.5 + y² ; y = 6 10 t/5 + 6 ; t = 45

Answers

Answer:

See solution below

Step-by-step explanation:

Given the following expression

1) 24+r

If r = 9

24 + r = 24+9

= 33

2) 2a+3

If a = 10

Substitute

2(10)+3

= 20+3

= 23

3) BC+12.3

b = 9

c = 4

Substitute

= 9(4)+12.3

= 36+12.3

= 48.3

4) p÷q

Given p = 24 and q = 8

p÷q = 24÷8

p÷q = 3

5) 4c-7.8

If c = 4

Substitute

= 4(4)-7.8

= 16-7.8

= 8.2

6) c-a

a = 3

c = 17

Substitute

= 17-3

= 14

Hence c-a = 14

7) a ÷ 2c ; a = 20, c = 2

Substitute

a÷2c

= a/2c

= 20/2(2)

= 20/4

= 5

8) 3x-14

If x = 5

Substitute

= 3(5)-14

= 15-14

= 1

9) 1.5 + y² ; y = 6

Substitute

= 1.5+6²

= 1.5+36

= 37.5

10) t/5 + 6 ; t = 45

substitute the value of t given into the expression

= 45/5 + 6

= 9 + 6

= 15

A rectangle is 40 yards long and 30 yards wide. What is the length of the diagonal that cuts through the center?

Answers

Answer:

it should be 50

Step-by-step explanation:

Using the pythagorean theorem c = [tex]\sqrt{a^{2} +b^{2} }[/tex] we get 50

what is the total payment made by Kay's parents on her 15th birthday
A . 15 B. 30 C. 60 D. 75what is the total payment what ​

Answers

Answer:

D

Step-by-step explanation:

the question is not understandable, why not try explain a little longer so that it can be clear.

What is the slope of the line shown below?

Answers

shld be either c or d I don't rlly know

Help asap!! (i’ll give u brainliest)

Answers

Answer: 3

Step-by-step explanation:

Identify the correct binder for each paint.

A common binder for watercolor paints is 1.gum Arabic 2.egg yolk 3. Polymers . For tempera, it is 1.linseed oil 2.egg yolk 3.gum Arabic

Answers

Answer:

egg yolk

Step-by-step explanation:

A common binder for watercolor paints is 1) gum arabic . For tempera, it is

2) egg yolk.

Find the sum using fraction bars or a paper and pencil. Write your answer in simplest form. 5/6 + 3/9

₁ 1/6
21/18
8/15
₁ 4/9

The tiny numbers are the whole numbers
Help me asap please
⇔ω⇔
ФωФ

Answers

Answer:

8/15 bc im beautiful

Step-by-step explanation:

Answer:

imma need my points back

Step-by-step explanation:

what is the volume of the sphere?

Answers

2304π is the answer and if you don’t want pi it’s 7238.2294738709 feet

A group of 150 dancers are auditioning for a dance show. 62% of the dancers trying out did not get on the show. How many dancers got on the show?

Answers

Answer:

57

Step-by-step explanation:

you can. go with the.answer

Help pleaseeee IM TIMEDDDDD

Answers

Answer:

D.

Step-by-step explanation:

Line D. shows the numbers less than 4. Trust me on this.

♡ ∩_∩

(„• ֊ •„)♡

┏━∪∪━━━━┓

♡ good luck 。 ♡

┗━━━━━━━┛

how much sit-ups can you do in 1 minutes?​

Answers

I can do like 42, my highest was 54 though

The soccer club held a spaghetti dinner. They sold 39 child tickets for $3.75 each and 27 adult tickets for $5.95 each. The amount for 11 child tickets was refunded. Estimate the amount of income received by the soccer club.

Answers

Answer:

265.65

Step-by-step explanation:

(3.75*39)+(27*5.95)-(11*3.75) = 265.65

Find profit percentage when S.P. of the article is Rs. 560 and C.P. is Rs. 500,with process ​

Answers

Answer:

first find the profit

profit % is the profit over CP times 100

7,650÷_________=7.65​

Answers

Answer:

The answer is 58,522.5

Step-by-step explanation:

You multiply 7.65 by 7,650 and get 58,522.5. And when you plug it back in it’s correct.

7,650 divided by 10=765
7,650 divided by 100=76.5
7,650 divided by 1000=7.65 so the answer is 7,650 divided be 1000=7.65

A triangle has side lengths of 21 cm and 17 cm. What is the range of values possible for the 3rd side?

Answers

Answer:

[tex]4 < x < 38[/tex]

Step-by-step explanation:

[tex]21 - 17 = 4[/tex]

[tex]21 + 17 = 38[/tex]

The range of 3rd side is in between 4 to 38.

[tex]4 < side 3 < 38[/tex]

A triangle has side lengths of 21 cm and 17 cm

side 1 = 21 cm

side 2 = 17 cm

What is the relation between side of triangle?

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Therefore,

length of side 3

[tex]21-17 < side 3 < 21+17[/tex]

[tex]4 < side 3 < 38[/tex]

Therefore the range of 3rd side is in between 4 to 38.

[tex]4 < side 3 < 38[/tex]

To learn more about the side of triangle visit:

https://brainly.com/question/20734777

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