Mathematics High School

Simplify (5y^6u^-7)*(5u^9v^-6)*(3v^5y)

Answers

Answer 1
Greetings!

Simplify the following expression:
[tex](5y^6u^{-7})(5u^9v^{-6})(3v^5y)[/tex]

First, multiply the terms 
[tex]=(5y^6u^{-7})(5u^9v^{-6})(3v^5y)[/tex]

[tex]=(25y^6u^{2}v^{-6})(3v^5y)[/tex]

[tex]=(75y^7u^{2}v^{-1})[/tex]

Rearrange the negative exponent:
[tex]=(75y^7u^{2}v^{-1})[/tex]

[tex]= \frac{75y^7u^{2}}{v} [/tex]

Rearrange to follow the correct form:
[tex]= \frac{75u^{2}y^7}{v} [/tex]

This is the most you can simplify this expression:
[tex]\boxed{=\frac{75u^{2}y^7}{v} }[/tex]

I hope this helped!
-Benjamin 

Related Questions

A tree on a hillside casts a shadow c = 230 ft down the hill. if the angle of inclination of the hillside is b = 19° to the horizontal and the angle of elevation of the sun is a = 49°, find the height of the tree. (round your answer to the nearest foot.)

Answers

From a point A draw a line 19° to the horizontal representing the hill. On the hill, 230 ft from the point A, draw a vertical line.h, representing the height of the tree. From the point A, draw another line 49° to the horizontal to the top of the tree. Lastly, from the bottom of the tree, extend a vertical line (y) down to a point on the horizontal.
let x be the distance from point A to when y intersects the horizonal.
x/230=cos 19
x=230 cos 19=217.5

y/x=tan 19
y=xtan19
y=217.5 tan 19=74.88
(h+y)/x=tan 49
h+y=xtan 49=217.5tan49=250.205 
hence
h=250.205-74.88=175.325 ft

the answer is:
height of the tree ~ 175 ft

Let f(x) = 5x + 6 and g(x) = -7x - 4.
Find f(x) + g(x)

Answers

5x + 6 + (-7x - 4)

5x + 6 - 7x - 4

-2x + 2

a poll shows that 76% of voters in a city favor an initiative to increase spending on public schools. if 10 voters are selected at random, wht is the probability that exactly five of them will vote in favor of the initiative?,

Answers

5.1% This is Binomial with n=10 and p=0.76 P(X = 5) = 10C5 (0.76^5) (1-0.76)^5 = 0.0509

Lesson 8: Binomial Distributions

1. a. 91%

2. a. 5.1%

3. c. s^5-25s^4v+250s^3v^2-1250s^2v^3+3125sv^4-3125v^5

4. d. 55.8%

What is the effect on the volume of a rectangular prism if the width is doubled and the hight is reduced to half of the original height?


A) the volume is doubled.

B) the volume is halved.

C) the volume is tripled.

D) the volume is unchanged.

Answers

D. the volume is unchanged

Your friend has prepared his monthly budget and asks you if he has overlooked anything in this planning. Which of the following questions points out his most serious omission?
a. What if your income from stocks is lost? b. What if you need to go to the doctor? c. What if the electric bill increases? d. What if you need to replace the furnace?

Answers

d. the question implies the fact the furnace is in bad shape. It would cause readers to infer it needs replaced. So he needs to replace the furnace. hope im right

helpppppppppppppppppppppppppppp

Answers

For this case we can rewrite the function using properties of neperian and exponential logarithms.
 We then have to rewrite:
 x*x ^ 2 = 64
 Rewriting:
 x ^ 3- 64 = 0
 x = 4
  Answer:
 x = 4
 option 2

What is the area of a sector with a central angle of 10pi/7 radians and a radius of 18.4 m? Enter your answer as a decimal.

Answers

A = (1/2)r^2*θ
.. = (1/2)*(18.4 m)^2*(10π/7)
.. = 759.73 m^2

What is the value of x?
x=23
x=35
x=58
x=93

Answers

I think is this x=58 hope this helped.
The sum of the remote interior angles of a triangle equals the value of the exterior angle. Therefore, 35+58=93 (last choice).

sales: Ye has his own business he checks sales receipts three times a day One day his afternoon sales were $50 more than his morning sales and his evening sales were three times this afternoon so if his total sales for the day were $1000 what were his evening service

Answers

Call the morning sales x.

This means:
- The afternoon sales are x + 50.
- The evening sales are 3(x + 50) = 3x + 150

Now we can calculate x knowing the total sales:
Total sales = morning + afternoon + evening
1000 = x + x + 50 + 3x + 150
800 = 5x
x = 160

We are asked for evening sales, so let's plug are value for x into the evening expression:

evening = 3x + 150 = 3(160) + 150 = $630

Find the area of the trapezoid. Leave your answer in simplest radical form.

Answers

h=√64-16=√48=4√3
A=[(18-4)+18]*4√3/2=32*2√3=64√3

A=64√3

simplify 4x+2 - x^2 +x-12 / x-3

a) 3x-2
b)3x+4
c)5x-4
d)5x+4

Answers

Answer:

3x-2

Step-by-step explanation:

on edge

A research firm conducts a sample survey and discovers that, of all the new watchers of three-dimensional tv, 77% have not reported any side effects such as vertigo, headache, or undue eyestrain compared with watching regular television. if this sample questionnaire had 2,100 respondents, what is the margin of error (me), rounded to the nearest thousandth? hint: me equals plus or minus two times square root of start fraction p hat left parenthesis one minus p hat right parenthesis over n end fraction end square root comma where p hat is the yes proportion in the sample and n is the sample size. me = ±0.009 me = ±0.017 me = ±0.018 me = ±1.837

Answers

Answer: +/- 0.018

All you have to do is plug the known values into the equation and evaluate it.

First, do the work under the square root sign.  0.77(1-0.77) / 2100 gives you a very small number. If you take the square root of that, you will have 0.0091. 

The last step is to just multiply that by 2 and you will have 0.018

The population of trout in a certain pond doubles every year. The current population of the pond is 275 trout.

Answers

this year the population is 275 if it continues at the same rate in 2019 it will be 550 in 2020 it will be  1100 in 2021 it will be 2200 and soo on...

How much will be left after 105 Days?

Answers

102 grams would be remaining after a total of 3 half lifes occur in 105 days
There will be 102 grams left.

Since the half-life is 35 days, to figure out how many half-lives to go through, you diving 105 (the number of days total), by 35 (the number of days in a half-life). This gives us 3.

Now, you divide the base number (816 grams) in half. You do this the number of times we got earlier (in this case, three times.)

And that leaves us with 102 grams.


I hope this helps!

Assume that there are 2 trials.

X = 2 where X represents the number of successes.



Which probability matches the probability histogram?

Round the answer to one decimal place.




P(success)=0.3

P(success)=0.4

P(success)=0.6

P(success)=0.7

Answers

Answer: The p(success) = 0.6

Your question is a little unclear, but I believe you are asking about the probability that at least one of the trials in the experiment were successful.

If that is the case, you simply have to add the probability of 1 success with the probability of 2 successes.

That is 0.48 +  0.16 = 0.64

Rounding our answer to one decimal place gives us 0.6.

The correct answer on the test was

P(success)=0.4

a cupcake recipe calls for 1/6 cups of milk and you have 5/8 cups of milk in the refrigerator how many cups of milk will you have remaining after baking the cupcakes

Answers

1/6 = 4/24   5/8 = 15/24
15 - 4 = 11      11/24 cups of milk left

Hope this helps

Answer: 1/8

Step-by-step explanation:

What is the area of this figure?

Answers

The answer should be 35, because:
5 x 5 = 25
4 x 2.5 = 10
25 + 10 = 35.
Hope this helps!:)

If you worked for 6 days for a total of 67.8 hours. If I worked the same number of hours each day, how many hours did I work in a day?

Answers

Hi there!

To solve this problem, we need to divide 67.8 by 6 to find the amount of hours each day. 

67.8 / 6 = 11.3

You worked 11.3 hours each day. 

Hope this helps!

..................................................................... 70.6 m × 14 m =

Answers

70.6m * 14m= 988.4 m
70.6 m × 14 m
 For this case we are in the presence of a multiplication where each number represents a unit.
 The unit for each number in this case is meters.
 Therefore, the result will be expressed in meters squared.
 Multiplying we have:
 70.6 m × 14 m = 988.4 m ^ 2
 Answer:
 70.6 m × 14 m = 988.4 m ^ 2



Refer to Explorations in Literature for a complete version of this passage.

Which quotations from “Here Is New York” develop the author’s viewpoint that commuters do not truly experience New York City?

Select each correct answer.

A "About 400,000 men and women come charging on to the Island each week-day morning, out of the mouths of tubes and tunnels."

B "Second, there is the New York of the commuter—the city that is devoured by locusts each day and spat out each night."

C "The commuter dies with tremendous mileage to his credit, but he is no rover."

D "Or they may work in a midtown office and may let a whole year swing round without sighting Governors Island from the sea wall."

Answers

I'm not positive about this one. 

C "The commuter dies with tremendous mileage to his credit, but he is no rover."

D "Or they may work in a midtown office and may let a whole year swing round without sighting Governors Island from the sea wall."

Final answer:

The quotations that develop the author's viewpoint about commuters not truly experiencing New York City are highlighted.

Explanation:

The quotations from “Here Is New York” that develop the author’s viewpoint that commuters do not truly experience New York City are:

“Second, there is the New York of the commuter—the city that is devoured by locusts each day and spat out each night.”

“The commuter dies with tremendous mileage to his credit, but he is no rover.”

“Or they may work in a midtown office and may let a whole year swing round without sighting Governors Island from the seawall.”

These quotes highlight the idea that commuters only see a limited and narrow part of the city, and they do not take the time to truly explore and experience all that New York has to offer.

Which polynomial is a perfect square trinomial?
A. x^2 +5y + 25
B. x^2 +10y+25
C.x^2+5y+100
D. x^2+10y-25

Answers

the definition of a perfect square trinomial:
When a square of a number (3*3=9) can also add up to another number in the trinomial (3+3=6)

In my example here the equation, in order to be a perfect square trinomial, would be: X^2+6y+9

Now to look at the problem. We can instantly single out C because 10*10 is 100 but 10+10 is not five.
If we look at A we can find the root of 25 (5) but 5+5 is 10 not five. So A is incorrect
Using our previous calculation we know that 5 is our magic number. Leaving us with B and D. If we look at D we can conclude that -5*5 would be -25 but -5+5 is zero. So, it is not D
Using power of elimination we can easily conclude that B is the correct answer. If you wish to check: (5+5=10) (5*5=25)

Answer: B

Hope this helped!

7 is greater than or equal to w, and - 1 is less than w

Answers

This written as an expression is 7 >= w > -1

Hope this helps!

PLEASE HELP ME!! 25 points
Anna has a 10-foot long ladder that she is going to rest against a vertical wall along the bottom of a window-sill that is 8.5 feet above the ground. The safety code recommends that the angle the ladder makes with the ground be no greater than 65°. Will the ladder be safe resting on the window sill?
please help with too -->Draw a diagram, and show work to support your answer.

Answers

given that the ladder is 10 ft long and the height of the wall is 8.5 ft, to find whether the ladder is safe resting on the window sill we use the formula:
sin x=opposite/hypotenuse
opposite=8.5 ft
hypotenuse=10 ft
thus
sin x=8.5/10
sin x=0.85
x=arcsin 0.85
x=58.21°
Since 58.21°<65° the we conclude that the ladder is very safe.

your boss is impressed with your work and gives you a 3% raise.if the inflation rate is 3% you are
A) making more money in today's dollars
B) making about the same amount in today's dollars
C) making less money in today's dollars
D) seeing no change in your paycheck

Answers

B) making about the same amount in today's dollars

Answer:  The answer is (B) making about the same amount in today's dollars.

Step-by-step explanation:  Given that our boss is impressed with our work and give us a 3% raise.

We are to select the correct statement if there is an inflation of 3%.

Since the raise of 3% and inflation rate of 3% occur simultaneously, so there will not be much change in the amount of money we are making in dollars.

Thus, (B) is the correct option.

A model ship is built to a scale of 1 cm: 4 m. The length of the model is 40 cm. What is the length of the actual ship? a. 160 m c. 40 m b. 50 m d. 15 m Please select the best answer from the choices provided A B C D

Answers

A. 160m. 

You can get this answer by multiplying the scale by the length of the model

What is the value of x in the equation 3x – y = 18, when y = 27?

Answers

To find the value of x in the equation 3x - y = 18 when y = 27, substitute 27 for y and solve the resulting equation. The value of x is found to be 15.

The student has asked for the value of x in the equation 3x - y = 18, given that y = 27. To solve for x, we simply substitute 27 for y in the equation and solve for x:

3x - 27 = 18

3x = 18 + 27 (Add 27 to both sides)

3x = 45

x = 45 / 3 (Divide both sides by 3)

x = 15

The value of x is 15 when y = 27.

Delia work for 45 minutes on her oil panting she took a brake a 10:35 am what time did delia starting working

Answers

Delia took a break at 10.35am after working for 45 minutes
⇒ count back 45 minutes from 10.35am

45 mins before 10.35am = 9.50am



Divide the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of x.
(4x^2 - 10x -24) / (2x + 3)

Answers

After dividing the polynomials, the answer is 2x-8

Answer:

2x-8

Step-by-step explanation:

A vacant lot is in the shape of an isosceles triangle. It is between two streets that intersect at an 85.9degree angle. Each of the sides of the lot that face these streets is 150 ft. Long. Find the perimeter of the lot to the nearest foot.

Answers

1. An isosceles triangle has two equal sides and you have the length of these sides (a=105 feet), but you need the other one: "b". So, if you a draw a segment that bisects the angle of 85.9°,you will obtain two equal right triangles, as you can see in the figure attached. Now, you have to find the value of "x" and the side "b" will be 2x:

 Sin(α)=Opposite/Hypotenuse

 α=89.5°/2=42.95°
 Opposite=x
 Hypotenuse=105

 Sin(42.95°)=x/105
 x=(105)(Sin(42.95°))
 x=71.54 feet

 2. Then the other side of the isosceles triangle (b), is:

 b=2x
 b=2x71.54 feet
 b=143.08 feet

 3. The perimeter of the isosceles triangle, is:

 P=2a+b
 P=2(105 feet)+143.08 feet
 P=210 feet+143.08 feet
 P=353 feet

Which polynomial is in standard form

Answers

Standard form is when the polynomial is from the largest exponet to the smallest exponet.  The answer is D

Answer:

Last option is correct.

Step-by-step explanation:

We are given with some polynomials.

We have to tell which one is in standard form of polynomial.

In Standard Form of a polynomial , Terms are arranged in decreasing or descending order of degree of the terms.

Polynomial 1.

1 + 2x - 8x² + 6x³

In this Terms are arranged in Increasing order of degree of terms.

This is not in Standard form.

Polynomial 2.

2x² + 6x³ - 9x + 12

In this polynomial first two terms are arranged in Increasing order of degree while last two arranged in decreasing order of degree.

This is not in Standard form.

Polynomial 3.

6x³ + 5x - 3x² + 2

In this Terms are arranged in jumbled order of degree

This is not in Standard form.

Polynomial 4.

2x³ + 4x² - 7x + 5

In this Terms are arranged in Decreasing order of degree of terms.

This is in Standard form.

Therefore, Last option is correct.

Other Questions
In 2013 in bali, indonesia, 159 members of the wto struck deal that would cut red tape at customs posts around the world and serve as the only tangible achievement of the doha round. this deal was known as the: Which of the following best describes the conditions created by El Nio? When is that normally blowup to east get stronger waters off the coast of north America cool down and upwelling increases in proving the nutrients in the water. Wednesday normally blood to the west get stronger waters off the coast of South America cool down and upwelling increases improving the nutrients in water. When is the normally blowup to the west slacken waters off the coast of South America walk up and upwelling decreases reducing the nutrients in the water Which of these is not an area that is prone to landslide hazards? Solve for x. Simplify completely.x^2+4x+4=8 find the area of the trapezoid with a base of 19 inches, height 12.6 inches and base 29.2 inches You are studying for your final exam on the semester. Up to this point, you received 3 exam scores of 99%, 80%, And 70%. To receive a grade of B in the class, you must have an average exam score between 80% and 89% for all 4 exams including the final. Find the widest range of scores that you can get on the final exam in order to receive a grade of B for the class. Use interval notation Evaluate 3+11t-9ut=9u=11 Which invention made it possible for only one person to operate a loom? What is -5/12 + (-1/4) + 3/12 Four runners, Fran, Gloria, Haley, and Imani, compete on a relay team. Haley is the first runner in the relay. The other runners can run in any order. What is the sample space showing the possible orders of the other three runners? S = {FGI, GFI, IFG} S = {FGI, FIG, GFI, GIF} S = {FGI, FIG, GFI, GIF, IFG, IGF} S = {FGI, FIG, GFI, GIF, HFG, HGI, IFG, IGF} SOMEONE EXPLAIN HOW TO DO THIS??? DNA and RNA are bothAnswermade up of nucleotides and carry molecules from one end of a cell to anothermolecules that contain genetic information and are made up of nucleotidesmonomers of protein molecules that provide structure to a cells nuclear membraneprotein molecules that carry the unique genetic information of an organism, Infections of which sexually transmitted disease can be greatly reduced by a vaccination? If the endpoints of the diameter of a circle are (10, 8) and (6, 2), what is the standard form equation of the circle? what is community property and associative property A survey of patients at a hospital classified them by sex and blood type, as shown in the table. What percent of all patients are male?[Round the answer to the nearest tenth of a percent. PLS HURRY LOTS OF POINTS NO GUESSING BRAINLIEST TO!!!!A)47.0%B)47.8%C)53.1%D)54.1%Blood Type Male FemaleA 105 93B 99 84O 160 140AB 15 18 how do i approximate each square root to the nearest tenth If f(x) = (1/9)(9^x) what is f(3) Callie has been working out for several months and gradually building all areas of physical fitness. To which part of the target heart rate range should she aim to exercise? A.Below 60%B.60%C.Below 80%D.80% Evaluate the expression 53 (13 8) 2.Numerical Answers Expected!Answer for Blank 1: