Select the correct answer. Which expression is equivalent to 8x^2^3 sqrt 375x + 2^3 sqrt 3x^7, if x=0?

Answers

Answer 1

Answer:

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}[/tex]

Step-by-step explanation:

The question is poorly formatted. The original question is:

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7[/tex]

We have:

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7[/tex]

Open bracket

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^{3* \frac{2}{3}}) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]

Express 8 as 2^3

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^{3* \frac{2}{3}} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^2 *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]

Express 2^3 as 8

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{75x^3} + 8\sqrt{ 3x^7}[/tex]

Expand each exponent

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2 *3x} + 8\sqrt{ 3x * x^6}[/tex]

Split

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2} *\sqrt{3x} + 8\sqrt{3x} * \sqrt{x^6}[/tex]

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 *5x *\sqrt{3x} + 8\sqrt{3x} * x^3[/tex]

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =20x^3\sqrt{3x} + 8x^3\sqrt{3x}[/tex]

Factorize

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}[/tex]

Answer 2

Answer:

42x^2 ^3 square root 3x

Step-by-step explanation:

i got it right


Related Questions

help! f(x)=x^2 what is g(x)

Answers

Answer:

C.) g(x) = 3x^2

Need help it’s due very soon and show work please ASAP !!?

Answers

Answer:

The volume of the cylinder is 125.664 cubic inches, without rounding off

the volume is 125.664

can someone help please

Answers

Answer:

isn't it b i remember doing something almost the same as this

Answer:

24

Step-by-step explanation:

f(4) means you plug the 4 into the equation so 4 x 4= 16

then 3(4)= 12

16+12-4=24

If someone could help that would be great. Brainliest and thanks!

Answers

Answer:

D does not show an equivalent rate

Step-by-step explanation:

we first need to find out how many words typed per minute so we divide 75 by 3 (3 divided by 3 is 1 and what we do to one side must be done to the other)

75 ÷ 3 = 25

25 word per 1 minute

now we need to multiply the minute by 25 to get the number of words typed

25(words) x 1(minute) = 25 words in 1 minute(so A is correct)

25(words) x 2(minute) = 50 words in 2 minutes(so B is correct)

25(words) x 4(minute) = 100 words in 4 minutes (so C is correct)

25(words) x 5(minute) = 125 words in 5 minutes(so D is incorrect)

A bag contains 2 red marbles, 4 blue marbles and 8 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that both marbles drawn will be blue?

Answers

Answer:

Step-by-step explanation:

the odds are 4 in 11

Please no links Find the value of x and TQ

Answers

Answer:

www.//.thehub.com./..

tina baked 552 chocolate chip cookies. she placed these cookies into boxes each contain 6 cookies. if she sell each box for $50, how much is the total sales?

Answers

552/6= 92, meaning 92 boxes times the price of 50 would come out to be 4600.

If the probability that a person will die in the next year is 593/100000
What is the probability that the person will not die in the next year?

Answers

Answer:

99407/100000

Step-by-step explanation:

100000 - 593 = 99407

given AB is a diameter, find the measure of

Answers

Answer:

Angle BCA = 90

Step-by-step explanation:

A triangle inscribed inside of a circle using the diameter as it's hypotenuse is a right triangle

Where the angle opposite of the hypotenuse ( or diameter ) is the right angle

Angle BCA is the angle opposite of the diameter

Hence BCA = 90

Geometry geometry help

Answers

Answer:

x = 32

Step-by-step explanation:

The sum of all interior angles of this pentagon is 540

Solve for x by using this formula

540 = (180-71)+(180-85)+(180-44)+(180-3x)+(180-2x)

540 = 700 - 5x

540 - 700 = -5x

-160 = -5x

-160/-5 = x

32 = x

¿ cuál será el volumen de una pirámide hexagonal si las aristas de la base miden 8cm, la apotema vale9.93cm y su altura es de 28cm?

Answers

Answer:

2224.32 cm³

Step-by-step explanation:

La fórmula para el volumen de una pirámide hexagonal = 1/3 (1/2 × P × a) × h

Donde a = Apotema = 9,93 cm

P = Perímetro =

Pirámide hexagonal = 6 × Bordes de la base = 6 × 8 cm = 48 cm

h = Altura = 28 cm

Por eso,

Volumen de la pirámide hexagonal = 1/3 (1/2 (48 × 9.93) × 28 cm

= 1/3 × 238.32 × 28 cm

= 2224.32 cm³

Volumen de la pirámide hexagonal = 2224.32 cm³

a + x = -3 với a = 5 . Tìm x

Answers

Answer:

the answer is if a=5

than, 5+x=-3

or,x=-3-5

therefore x=-8

Answer:

[tex]x = - 8[/tex]

Step-by-step explanation:

[tex]a + x = - 3[/tex]

[tex]5 + x = - 3[/tex]

[tex] x = - 3 - 5[/tex]

[tex]x = - 8[/tex]

Hope it is helpful...

The perimeterof a squareis 20 feet.
What is the area of the square?

Answers

Answer:

C. 25 ft²

Step-by-step explanation:

the length of side = 20/4 = 5 ft

so the area of the square = 5² = 25 ft²

Answer:

C: 25 ft2

Step-by-step explanation:

Perimeter is the factor of all the side lengths added together. If 4 equal sides added together equals 20, what times 4 equals 20? 5 times 4 equals 20. Which means the side length is 5. Area is side length x side length, so 5 x 5=25 so the answer is C hope this helps!

03.
(a)
Multiply out
3(2x-7)
Answer

Answers

Answer: -42 is the answer.

find the hight of the tree to the nearest hundredth of a meter

Answers

Answer:

4.12m

Step-by-step explanation:

(distance of whole shadow - distance of Aisha from tree)

17.95-12.5=5.45m

17.95/5.45=3.29...(scale factor)

3.29...*1.25=4.12m(to the nearest hundredth)

8 = 3a + 4...Anyone know the answer??

Answers

Answer:

8 = 3a + 4

4=3a

4/3=a

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

a = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

To solve for a, you must isolate it (variables on one side, constants on the other):

8 = 3a + 4 (starting equation)

8 - 4 = 3a + 4 - 4 (subtract 4 from both sides)

4 = 3a + 0 (calculate)

4 = 3a (no need to write +0)

[tex]\frac{4}{3}[/tex] = [tex]\frac{3a}{3}[/tex] (divide both sides by 3)

[tex]\frac{4}{3}[/tex] = a (simplify -- 3/3 = 1)

So, a = [tex]\frac{4}{3}[/tex].

At the end of last year, the population of Alice's hometown
was approximately 90,000 people. The population is growing
at of 2.3% each year. Which function models the growth of
this city?
O y = 90000 (2.3)x
O y = 90000 (1.023)x
O y = 90000 (0.977)x
O y = 90000 (1.23)x

Answers

Answer:

y = 90000 (1.023)^x

Which shape has two right angles and at least one obtuse angle? WILL GIVE BRAINLIEST ASAP:)

Answers

Answer: B


Explanation: This trapezoid has two right angles, one obtuse angle and one acute angle.

The trapezoid has two right angles and at least one obtuse angle, the correct option is B.

What is the obtuse angle?

A obtuse angle is an angle which is greater than 90° and less than 180°.

A right trapezoid (also called right-angled trapezoid) has two adjacent right angles.

Right trapezoids are used in the trapezoidal rule for estimating areas under a curve.

An acute trapezoid has two adjacent acute angles on its longer base edge, while an obtuse trapezoid has one acute and one obtuse angle on each base.

Hence, the trapezoid has two right angles and at least one obtuse angle.

Learn more about trapezoid here;

https://brainly.com/question/1677597

#SPJ2

Help plz I don’t remember the right one

Answers

Answer:

midpoint

Step-by-step explanation:

the midpoint divides a segment into two equal parts

Answer:

midpoint of the answer

Step-by-step explanation:

midpoint means middle point. thus the line is divided in 2 equal parts

Out of 260 racers who started the marathon, 235 completed the race, 17 gave up, and 8 were disqualified. What percentage did not complete the marathon? Round your answer to the nearest tenth of a percent.

Answers

18/230 = (approximately) 0.07826.

Multiply by 100 to change the decimal to a percent.

Answer:

9.6% or 9.7% did not finish

Step-by-step explanation:

You can solve this 2 different ways:

First way: 17+8=25, so 25 out of 260 did not complete. 25/260=0.096, or 9.6% did not finish.

Second way: 235 out of 260 finished. 235/260=0.903, or 90.3% finished. 100-90.3= 9.7, which is almost exactly equal to our first answer.

They can't be the same because 25/260 and 235/260 are very random decimals, so the answer is 9.6% to 9.7% :)

A ball thrown in the air has a height of y = - 16x² + 50x + 3 feet after x seconds. a) What are the units of measurement for the rate of change of y? b) Find the rate of change of y between x = 0 and x = 2?

Answers

Answer:

a)[tex]ms^{-1}[/tex]

b)[tex]71ms^{-1}[/tex]

Solution:

a)

we are finding the derivative from position to velocity thus

units = [tex]ms^{-1}[/tex]

b)

[tex]m=\frac{y(2)-y(0)}{2-0}=\frac{139+3}{2}=71ms^{-1}[/tex]

The area of the given rectangle is 63 sq m. One of the side is 9 m, then the missing side of the given rectangle will be

Answers

Answer:

7 m

Step-by-step explanation:

63/9=7 and 7*9=63

Answer: 7.

Step-by-step explanation:

Divide 63 and 9 and you get 7. Remember, length times width equals area.

help me pls on these

Answers

Answer:

first one is A) 21

second one is D) 150

Step-by-step explanation:

first one : add all marbles  =  10

there are 3 red

chances of picking a red 3/10 or 30 percent or .3

multiple 70 by .3 and get 21

second one:

A = 6[tex]a^{2}[/tex] (Surface area of cube)

600 = 6[tex]a^{2}[/tex]

a = 10

half of 10 is 5

6([tex]5^{2}[/tex]) = 150

pls help due 30 mins

Answers

Answer:

5.7

Step-by-step explanation:

cos 18° = x / 6

0.9511 =x / 6

cross multiply

x = 5.70666

To 1 decimal place

ANSWER = 5.7

Have a nice day !

Answer:

5.7 =x

Step-by-step explanation:

cos theta = adjacent side/ hypotenuse

cos  18 = x /6

6  cos 18  = x

5.706339098 =x

Rounding to the nearest tenth

5.7 =x

Which statement correctly compares the graph of function g with the graph of function f?

Answers

Answer:its a or c hope it helps i

Step-by-step explanation:

Answer:

It is a vertical COMPRESSION

Step-by-step explanation:

"The graph of function g is a vertical compression of the graph of function f"... I just took the test. It's NOT B. Hope this helps!

An aquarium holds 11.81 cubic feet of water, and is 2.8 feet long and 1.7 feet wide. What is its depth? Round your answer to the nearest whole number.

Answers

Answer:

2ft

Step-by-step explanation:

Depth = volume / ( length x width)

11.81 / (2.8 x 1.7)

11.81 / 4.76

depth = 2.48

2 ft (to the nearest whole number)

What is this expression in simplest form? (x+2)/(4x^2+5x+1) * (4x+1)/(x^2-4)

Answers

Answer:

below

Step-by-step explanation:

that is the solution above

The simplest form of the given expression is [tex]\frac{1}{(x+1)(x-2)}[/tex].

What is Algebraic expression?

An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

Here, given expression;

 [tex]\frac{x+2}{4x^2+5x+1} X \frac{4x+1}{x^2-4}[/tex]

[tex]\frac{x+2}{4x^2+4x +x+1} X \frac{4x+1}{x^2-2^2}[/tex]

[tex]\frac{x+2}{4x(x+1)+1(x+1)} X \frac{4x+1}{(x+2)(x-2)}[/tex]

[tex]\frac{x+2}{(4x+1)(x+1)} X \frac{4x+1}{(x+2)(x-2)}[/tex]

[tex]\frac{1}{(x+1)(x-2)}[/tex]

Thus, the simplest form of the given expression is [tex]\frac{1}{(x+1)(x-2)}[/tex].

Learn more about Algebraic expression from:

https://brainly.com/question/953809

#SPJ2

a box contains 12 blue, 10 gray and 18 white mask. a mask is taken at random from the box. what is the probability that it is:
a.blue ans.
b.white ans.
c.gray ans.
d.pink ans.

Answers

Answer:

B.white

Step-by-step explanation:

They are more white mask.

The gardern is 12m by 10m. 15% of the total area is gardern patch and 3/8 is a flowerbed. The rest of the area is lawn. Pete sprays the lawn. The spray cost 0.35 per 3m2

Answers

Given :

The garden is 12m by 10m. 15% of the total area is gardern patch and 3/8 is a flowerbed.

Solution :

Area of lawn = Area of garden - area of garden patch - area of flowerbed.

[tex]A = 12\times 10 - 12\times 10 \times 0.15 - \dfrac{3}{8} \times 12 \times 10\\\\A = 57 \ m^2[/tex]

Total cost of spray is given by :

[tex]Total \ cost =Total\ area \times cost \ per \ area\\\\T = 57 \times \dfrac{0.35}{3} \\\\T = \$6.65[/tex]

Hence, this is the required solution.

Find the radical equivalent of 2723 and compute it.
ASAP PLS

Answers

Try 1.56 it should help!!
Other Questions
WILLGIVE BRAINLISTSOLVESIX TIMES A NUMBER ADDED TO 8 IS 32 find the number which of the following is an accurate title for the outline? Read the examples carefully. Match each one with the text structure it uses. Cause-Effect Compare-constrastProblem-SolutionChronological OrderSugar was linked to obesity. Sugar substitutes reduced calories .Sugar was brought to the Caribbean in 1493. Columbus died in 1506.Honey was popular, but sugar could be harvested more easily.Machines replaced human labor in sugar processing. Prices plummeted.*ANSWER BELOW* Find the value of x. Round your answer to the nearest tenth. Write a paragraph about a time when you observed some of these properties of light. What did you see Steel chain costs $8.20 per metre. How much does it cost to buy 50mm of chain? 1. Dineshani"I'm enjoying my new job"2. Sarojini"We're going to buy a new house"3. Malith"I have to go early"4. Dilith"My brother has gone to Australia5. Meena"I don't like my job6. Nimali"My son doesn't like his class"Use reported speech and tell what those friends said. Jonah runs 3/6 mile on sunday and 7/10 mile on monday. he uses the model to find that he ran a total of 1 mile. What mistake does Jonah make? if the mass extinction event that had wiped out the dinosaurs had not occurred, could dinosaurs rather than mammals have evolved into an intelligent organism resembling modern day humans ? What is the 8th term in the geometric sequence described by this explicitformula?an=6x3(n-1) A company that makes shopping carts for supermarkets and other stores recently purchased some new equipment, installed on each existing machine, that speeds up each machine and as a result reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used four workers and two machines, who produced an average of 80 carts per hour. Workers receive $10 per hour per worker, and machine cost was $20 per hour per machine. With the new equipment, it was possible to transfer two of the workers to another department, and machine cost increased by fifty percent per hour per machine; while output increased by twenty five percent per hour. In both old and new systems, this process operates for 8 hours every day, 7 days a week, 52 weeks a year. Compute the multifactor productivity measure under the new system. Use carts per $ as the measure of productivity. List the smallest three values in the set below. {x | x E and x < 30} Please help me with French XYZ Corporation manufactures two models of office chairs, a standard and a deluxe model. The overhead costs for setups and components pools are $60,000 and $58,900, respectively. The following activity has been compiled: Number of Number of Number of Setups Components Direct Labor Hours Standard 11 6 295 Deluxe 29 13 205 Number of setups and number of components are identified as activity-cost drivers for overhead. Assuming an activity-based costing system is used, what is the total amount of overhead costs assigned to the deluxe model (2x+8)-(x-8) PLS HELP Which of the following is a non-profit organization?- National Institute of Health- World Health Organization- American Cancer Society - Center for Disease Control and Prevention How much space does Laceys mom cover in frosting? A company sells widgets. The amount of profit, y, made by the company, is related tothe selling price of each widget, x, by the given equation. Using this equation, find outwhat price the widgets should be sold for, to the nearest cent, for the company tomake the maximum profit.y = -x2 + 72x 458 connor found out that 60% of 40 is the same as 25% of the number n. what is the value of n? Please answer this correctly without making mistakes