Simplify the following exponential expressions:

1. 6y^3 x 5y^6


2. 8x^5 x 3x^2


3. 7m^4 x 3m x 5m^2


4. 10d^7 x 5d^0

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

[tex]1. \: 6 {y}^{3} \times 5 {y}^{6} \\ = 6 \times 5 \times {y}^{3 + 6} \\ = 30 {y}^{9} \\ \\ 2. \: 8 {x}^{5} \times 3 {x}^{2} \\ = 8 \times 3 \times {x}^{5 + 2} \\ = 24 {x}^{7} \\ \\ 3. \: 7m^4 \times 3m \times 5m^2 \\ = 105 {m}^{4 + 1 + 2} \\ = 105 {m}^{7} \\ \\ 4. \: 10d^7 \times 5d^0 \\ = 10 \times 5 \times {d}^{7 + 0} \\ = 50 {d}^{7} [/tex]

Answer 2
30y 1# 24x^7 2# 105m^7 3#.

Related Questions

A birthday present is placed into a rectangular shoe-box. The box has the following dimensions: 3 inches by 7 inches by 8 inches. What is the minimum amount of wrapping paper needed to cover the entire box?
a.146 sq. in.
b.101 sq. in.
c.202 sq. in.
d.168 sq. in.

Answers

Answer:

c. 202 sq. in

Step-by-step explanation:

2× (3×7 + 3×8 + 7×8)

= 2 × ( 21+24+56)

= 2× (101)

= 202

Evaluate the expression.
3 + (50- 5^2)

Answers

The answer is = 28 …………….

the answer? wowisoososksks

Answers

Answer:

1/6

Hope that this helps!

I will give brainlest please help

Answers

Answer:

The center of the circle would be (5,-8)

This is because you inverse the sign within the equation for the x/y coordinate part of it. Therefore, for this question:

(x-5)^2+(y+8)^2 = 121

The center would be (5,-8), since there is (x-5) and (y+8).

The radius of the circle would be 11

This is because within the equation for the circle, the finishing number is the radius squared. This means that if you square root this finishing number, you would get the radius. So with this question:

(x-5)^2+(y+8)^2 = 121

By doing √121, you would get 11 as the radius.

What is the slope of the line that passes through the points listed in the table?

x | y
4 | 3
7 | 9

A. -2

B. 2

C. 3

D. 6

Answers

Answer:

B. 2

Step-by-step explanation:

(4, 3) (7, 9)     M = Slope

M = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]      Slope formula

[tex]M=\frac{9-3}{7-4}[/tex]       Using the slope formula, plot both x and y intercepts

[tex]M=\frac{6}{3}[/tex]           Slope needs to be simplified into a whole number

[tex]M=2[/tex]          

From the set {2, 6, 42}, use substitution to determine which value of x makes the equation true.

6(x + 40) = 252
A.
2
B.
none of these
C.
6
D.
42

Answers

The answer to your question is letter A.2

A bookstore costs $75 a day to keep open, and spends $10 for each book it
sells. The store charges $15 for each book it sells. If n represents the number
of books sold, which equation represents the revenue function for this
bookstore?
A. r= 15n
B. r= 25n
C. r= 10n
D. r= 75n

Answers

Answer: A. r= 15n

Step-by-step explanation: took the quiz.

The solution is, The cost function of this bookstore is 10n + 75.

What is cost function?

A cost function is a formula used to predict the cost that will be experienced at a certain activity level.

here, we have,

According to the given problem,

Cost to open bookstore for a day - $75

Price for selling each book = 10

Considering number of books to be n,

Total cost for selling each book = $(10×n)

Therefore total cost price =  $( 10n + 75)

Hence, we can conclude that the total cost function of this bookstore is represented by equation 10n + 75

Learn more about cost function here:

brainly.com/question/23313575

#SPJ5

Can I get some help with this please.
The table models how the population of a city has changed over time. What does the y-intercept represent?

Answers

Answer:

The y-intercept represent:

122,000 (1985) represents the starting population from when they began calculating the data.

Step-by-step explanation:

5. (08.01) Line M is represented by the following equation: x + y = -1 What is most likely the equation for line P so the set of equations has infinitely many solutions?
O 2x + 2y = 2
O 2x + 2y = 4
O 2x + 2y = -2
O x - y = 1​

Answers

Answer:

2x + 2y = -2

Step-by-step explanation:

you can divide a 2 from all three terms in 2x + 2y = -2 to get x + y = -1 which overlaps the original equation to provide an infinite number of solutions

Show you work in sketch.

5(3 - x)

Answers

Answer:

sketched it out for ya

Step-by-step explanation:

Last night Danielle had a birthday party. 1/3 of the birthday cake was leftover. She wanted to share the leftover birthday cake with 44 friends the next day. How much of the birthday cake would each get if they shared it equally?

Answers

Answer:

1/132

Step-by-step explanation:

1/3 ÷ 44 would be solved by multiplying 1/3 and 1/44 which is 1/132

Which of these are the constant?
4y+1+9x

Answers

Answer:

1 is the constant

Step-by-step explanation:

Mr. pope lost 10 pounds in one month. At the end of the month, he weighed 240 pounds. By what percentage did Mr. Pope decrease he weight?
a. (4%)
b. (7%)
c.(10)
d.(15%)
AND ACTUALLY GIVE STEP-BY-STEP

Answers

Answer:

A. 4%

Step-by-step explanation:

We can find out the total weight in the beginning by adding 240+10 which is 250

Then we divide 10/250 or we can multiply both sides by 4 to move the denominator to the 1000th which is 40/1000 and remove a 0 from both sides which makes 4/ 100 or 0.04 which is 4%

HELP ASAP!! Click the picture to make it bigger
:)
thanks

Answers

Answer:

the answer is C.

Step-by-step explanation:

Carry a book bag: Female is 57

Which of these is a two-step equation? Ax + 9 = 21incorrect answer Bx = 11 + 2incorrect answer C2x + 9 = 21incorrect answer Dx/3 = 9

Answers

Answer:

2x + 9 = 21

Step-by-step explanation:

Looking at option C;

2x + 9 = 21

Step 1: Subtract 9 from both sides

2x+9 - 9 = 21 - 9

2x = 12

Step 2: divide both sides by 2

2x/2 = 12/2

x = 6

Hence the expression which is a two-step equation is 2x + 9 = 21 since we arrived at the solution in two steps

Is there an error in this problem explain pls do all

Answers

Answer:

C

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

you did it wrong

this is the one thats not wrong:

7(6+4(−10+9))

=(7)(6+4(−10+9))

=(7)(6)+(7)(4(−10+9))

=42−28

=14

find a
polynomial P(x) of 2nd degree if P(1)=0
P (2) 3
P(-3)=0​

Answers

Given:

P(x) is a 2nd degree polynomial.

[tex]P(1)=0,\ P(2)=3,\ P(-3)=0[/tex]

To find:

The polynomial P(x).

Solution:

If P(x) is a polynomial and P(c)=0, then c is a zero of the polynomial and (x-c) is a factor of polynomial P(x).

We have, [tex]P(1)=0,\ P(-3)=0[/tex]. It means 1 and -3 are two zeros of the polynomial P(x) and (x-1) and (x+3) are two factors of the polynomial P(x).

So, the required polynomial is defined as:

[tex]P(x)=a(x-1)(x+3)[/tex]          ...(i)

Where, a is a constant.

We have, [tex]P(2)=3[/tex]. So, substituting [tex]x=2,\ P(x)=3[/tex] in (i), we get

[tex]3=a(2-1)(2+3)[/tex]

[tex]3=a(1)(5)[/tex]

[tex]3=5a[/tex]

[tex]\dfrac{3}{5}=a[/tex]

Putting [tex]a=\dfrac{3}{5}[/tex] in (i), we get

[tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex]

Therefore, the required polynomial is [tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex].

4 Students is___% of 20 students.

Answers

Answer:

20%

Step-by-step explanation:

4 / 20 = 0.2 = 20%

Hope this helps :)

Answer:

4 Students is 20% of 20 students.

Step-by-step explanation:

[tex] \frac{4}{20} \times 100[/tex]

= 4 × 5 %

= 20%

can someone please help
question: An airplane is flying at an elevation of 1500 feet. What is the airplane's angle of elevation from the runway when it is 5000 feet from the runway?

Answers

Answer:

Angle of elevation of the airplane = 17.46 degrees

Step-by-step explanation:

From the picture attached,

An airplane is flying at an altitude of 1500 ft at point A.

Runway starts from point B from which distance of the airplane is 5000 ft.

Now we apply sine rule in the given triangle ABC to measure the angle θ.

sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sinθ = [tex]\frac{AC}{AB}[/tex]

       = [tex]\frac{1500}{5000}[/tex]

[tex]\theta=\text{sin}^{-1}(\frac{3}{10})[/tex]

[tex]\theta=17.46[/tex] degrees

PLEASE HELP ASAP!!!

Given that PQ/ST = QR/TU = RS/US , select the postulate or theroem that you can use to conclude that the triangle are similar.

○ ASA similarly postulate
○ SAS similarly theorem
○ AA similarly postulate
○ SSS similarly theorem ​

Answers

SSS Similarity Theorem

What is the area and perimeter?

Answers

Answer:

Perimeter: 26 units

Area: 24 units²

Step-by-step explanation:

12 + 9 + 5 = 26

A = 1/2BH

A = 1/2 12(4)

A = 1/2 48

A = 24

the permitter is 26 and the area is 24

PLS HELP ASAP BRAINLIEST!!!

Suppose that the distance a car travels varies directly with the amount of gasoline it uses. A certain car uses 5 gallons of gasoline to travel 130 miles. If the car travels 442 miles, how much gasoline does it need?

Answers

Answer:

17 gallons

Step-by-step explanation:

SOMEONE ANSWER QUICK!!

Steven bought 4 pizzas to share with his family. Together, they ate 2 7/12 pizzas on Friday and another 2/3 of a pizza on Saturday. How much pizza is left??

Answers

Answer:

3/4 of a pizza leftover.

Step-by-step explanation:

2 7/12 + 2/3 = 3 1/4

4 -  3 1/4 = 3/4

so 3/4 of 1 pizza is left.

Chicos estoy en un aprieto ayudarme pls Sabiendo que una falda es 5 € más cara que una blusa y que si compro 6 faldas y 4 blusas pago 480 €, ¿cuánto vale la falda?

Answers

Answer:

El precio de la falda es 50 €.

Step-by-step explanation:

Lo que sabemos:

[tex] F = 5 + B [/tex]   (1)

En donde F es por falda y B por blusa.

Si compras 6 faldas y 4 blusas y pagas 480 €:

[tex] 6F + 4B = 480 [/tex]  (2)

Entonces, al introducir la ecuación (1) en (2) podemos hallar el precio de cada falda.

[tex] 6F + 4B = 480 [/tex]

[tex]6(5 + B) + 4B = 480[/tex]

[tex] 10B = 480 - 30 [/tex]

[tex]B = \frac{450}{10} = 45[/tex]  

Finalmente, el precio de la falda se puede encontar con la ecuación (1):

[tex]F = 5 + 45 = 50[/tex]

Por lo tanto, el precio de la falda es 50 €.  

Espero que te sea de utilidad!      

Help please anyone ?!

Answers

go to this link so we can ch at
https://b24-glbn5k.bitrix24.com/?secret=p5l3834l

Answer:

.62

Step-by-step explanation:

first move the decimal 3 places to make it a whole number and now we have 4960, now we divide 4960 by 8 giving us 620, now we move the decimal 3 places back and it gives us the decimal .62.

help me out please ill give you 5 star, brainlist

Answers

Answer:

H

Step-by-step explanation:

you can see that it's increasing by 50 for each line

4*50=200

Which graphs are functions ( select all that apply ​

Answers

Answer:

The second and third option are both functions!!

Glad to help!!

Step-by-step explanation:

2 and 3 are the answer

x^2 + y^2 =-6x-14-6y

Answers

Answer:

x=−3+√(−y−1)(y+5)

Step-by-step explanation:

thats if your solving for x if not to math w    l   ay

pls pls pls help me I will give brainlist pls

Choose Yes if the capital letters are used correctly.

Choose No if capital letters are used incorrectly.



Who will win the election for President in november?

Group of answer choices

Yes

No





Timmy Johnson used to be a police officer. Now he is working for the company Bellsouth.

Group of answer choices

no

yes





John anounced on monday that he wants to be the new mayor of Dallas. He will have to campaign hard because the mayor we have now has been in office for many years.

Group of answer choices

yes

no





My father said he would vote for Tom. I believe the only reason that he said this is because Tom is his brother. He really isn't qualified to be the mayor.

Group of answer choices

no

yes



My family went on a long hike on the appalachian trail. We thought we would be finished in s couple of hours, however my sister sprained her ankle and we had to take it slow.

Group of answer choices

yes

no



There will be a voting booth set up at Northside elementary.

Group of answer choices

yes

no





Every Spring they put out new flower seeds so the Park is beautiful.

Group of answer choices

no

yes





I hope our new mayor will do something about all the trash on the sides of the roadways. When I am traveling down Main Street, I am in shock at what I see. I just wish people would care more about this and would help to keep our roads clean of trash!

Group of answer choices

no

yes





The River is full of chemicals that are very harmful.

Group of answer choices

yes

no





I'm glad our drinking water doesn't come from the Raven River. Some people say that this river is the dirtiest river east of the Mississippi.

Group of answer choices

yes

no





In later Summer, the sunflowers are gorgeous.

Group of answer choices

yes

no





After examining our dog, the Veterinarian said, "He looks healthy and strong to me." I grabbed spot and gave him a mighty hug. my mom was happy too. We thought for sure he was going to have to stay overnight.

Group of answer choices

yes

no





"Watch out!" yelled Monica.

Group of answer choices

no

yes





"When are we leaving?" Joe asked. Mom replied, "As soon as we can load up the car, Joe."

Group of answer choices

yes

no





Kyle practiced his pitching all Winter. He wanted to make the team with his best friend, Tom.

Group of answer choices

no

yes

Answers

Answer:

NoyesyesyesNo.yesNoyesNo.yesNoNoYesYesNo

These are the answers according to serials.

how can you find the area of a composite figure

Answers

B. Add the areas of all shapes and faces that make up the composite figure

In order to find a whole area you will have to split a shape into different area and then add them all together to find the total area.
Other Questions
NEED HELP PLEASE ASAPA.If you could start or join a social movement, which issue in society would you try to change? B.Explain why you would choose this issue and what you would hope to accomplish. Please help me I will give branliest! Find the two missing sides and write your answer as in simplified radical form. image attached plz help???????????? Please helpWhich statement best describes what happened at the Wasita Massacre?A. Custer and his troops surrounded Cheyenne lands for months to starve people. B. Troops under Custer attacked a peaceful Cheyenne settlement and killed 100 people. C. Custer and his troops deported Native Americans to places like Kansas. D. General Sheridan enslaved the people along the Wasita River to build forts. E. Troops under General Sheridan began over hunting bison on the Great Plains. 3. What were some of the disagreements between Stalin and the Allies? discuss five ways in which the National Museum as a tourist attraction contributes to South Africa economic growth PLEASE HELP!!For the presentation you will research and provide summaries for manned and unmanned explorations of yourchoice. The presentation should be about twelve slides in length. Your presentation will include:TitleIntroduction - gives an overview of the presentationTime line of missions - must include 3 manned and 3 unmanned missionsDescription of each of the missions in the timeline (1 mission per slide)(a) Name and date of mission(b) Purpose of missions(c) Results or findings from missionsScientific advance - describe a scientific advancement that has led to an engineering improvement inspace explorationEngineering advance - describe an engineering advance that has led to greater knowledge about thesolar systemSources - list the websites and other sources you usedRemember to make a list (i.e., bullet points) on each slide. The slides should feature the highlights of the mainidea. The bullet points should be short phrases (at most, one sentence) that highlight key points...ik Vikram has a bucket of three different racquetballs, one blue, one black, and one red. He wants to test each ball to see how well they bounce. He reaches into the bucket and removes one ball without looking. He hits the ball against the wall, catches it, and then drops it back into the bucket. He repeats this process twice more, each time choosing a ball without looking.Part A:What is the probability that Vikram hits the blue ball, then the black ball, and then the red ball?Answer: Part B:If Vikram does not drop the balls back into the bucket after he hits them, what is the probability that Vikram hits the blue ball, then the black ball, and then the red ball?Answer: 6. What would be the new coordinatesof point B if it was reflected across they-axis? HElp Me please i will give brainlist due in 30 MINUTES QuestionTranslate and solve: Twelve less than x is equal to 51. Enter the equation In the LifeSmarts event, students compete Someone pls explain how to do this- 65 employees have earned two weeks of vacation time to be taken the following year. If the average weekly salary for these employees is $900, what is the required journal entry to accrue compensated absences 49 Tth47 Pansy opens a savings account. She uses theequation: y = $25x + $500 to help her keep trackof her savings, where y is the amount of moneyin her account and x is the number of weeks.Which statement is TRUE?A. Pansy invests $500 per week.B. Pansy started her savings account with $25.C. Pansy plans on investing $100 every 4 weeks.D. Pansy will take $25 per week from her account48 The table below shows the results of a survey onmusic listening preferences.WhA. Natural selection results in change over time by acting on traits that are ___ Ways to fix credit problems how was the solar system modeled? (small answer) The table shows the percentage of different colors of rats in a population that survive to reproduce.RATS BY COLORColor of Rat Portion of Population to Reproduce (%)Black 25Gray 30White 15Black spots 5Gray spots 10White spots 45According to the table, which element of natural selection will have the most significant effect on the total population of rats?A the low percentage of inheritance of black spotsB the high percentage of inheritance of white spotsC the high percentage of inheritance of white furD the low percentage of inheritance of gray fur Define these in your own words: 1.) predator2.) prey3.) ecosystem4.) interdependent5.) organism6.) abiotic7.) biotic8.) environment9.) symbiotic