what is the simplified form of this expression 7(^3sqrt2x)-3(^3sqrt16x)-3(^3sqrt8x)

What Is The Simplified Form Of This Expression 7(^3sqrt2x)-3(^3sqrt16x)-3(^3sqrt8x)

Answers

Answer 1

Answer:

[tex]7 \sqrt[3]{2x} - 6 \sqrt[3]{2x} - 6x[/tex]

Solution,

[tex]7( \sqrt[3]{2x} ) - 3( \sqrt[3]{16x} ) - 3( \sqrt[3]{8x} ) \\ = 7 \sqrt[3]{2x} - 3 \times ( \sqrt[3]{2 \times 2 \times 2 \times 2x} - 3 \times \sqrt[3]{2 \times 2 \times 2x} \\ = 7 \sqrt[3]{2x} - 3 \times (2 \sqrt[3]{2} x) - 3 \times 2x \\ = 7 \sqrt[3]{2x} - 3 \times 2 \times \sqrt[3]{2x} - 3 \times 2x \\ = 7 \sqrt[3]{2x} - 6 \sqrt[3]{2x} - 6x[/tex]

Hope this helps...

Good luck on your assignment...


Related Questions

how do you do this : 40% of 98 = _____

Answers

Answer:

39.2.

Step-by-step explanation:

Think of the word "of" as a sign that you have to multiply.

- Hope this helped you.

Answer:

39.2

Explanation:

To solve this problem, we must first convert the forty percent into a decimal

⟹ 40% = 0.40

Next, multiply forty percent (as a decimal) by ninety eight

⟹ 0.40 × 98 = ?

⟹ 0.40 × 98 = 39.2

Therefore, forty percent of ninety eight is 39.2.


A pet shop sells guinea pigs and goldfish.
The ratio of guinea pigs to goldfish is 20:28
a) Give this ratio in its simplest form
b) The shop has a total of 120 guinea pigs and fish.
Work out the number of guinea pigs the shop has.

Answers

Answer:

Explanation:

From the question, we are told that a pet shop sells guinea pigs and goldfish and that the ratio of guinea pigs to goldfish is 20:28.

a) Give this ratio in its simplest form.

The ratio of guinea pigs to goldfish is 20:28. The highest common factor to 20 and 28 is 4. Therefore 20 = 4 × 5 and 28 = 4 × 7. So, the ratio in its simplest form will be 5:7.

b. The shop has a total of 120 guinea pigs and fish. Work out the number of guinea pigs the shop has.

The ratio of guinea pig and goldfish is 5:7. If the shop has a total of 120 guinea pigs and fish, the number of guinea pigs the shop has will be:

= 5/12 × 120

= 5 × 10

= 50 guinea pigs

Which of the following are correct steps in finding the centroid of triangle CDE? Check all that apply. Construct an altitude through C. Construct a median through E. Construct a perpendicular bisector to side DE. Construct a line perpendicular to side CE through D. Bisect side CD.

Answers

Answer:

B C E

Step-by-step explanation:

The correct steps are,

Construct a median through E.

Construct a perpendicular bisector to side DE.

Bisect side CD.

What is centroid of a triangle?

The centroid of a triangle is the intersection of the three medians.

Now, We know that, A median of a triangle is a line segment that joins a vertex to the mid-point of the side that is opposite to that vertex.

Here, we have to the centroid of triangle CDE.

Hence, the correct steps are following:

Construct a median through E.

Construct a perpendicular bisector to side DE.

Bisect side CD.

To learn more on centroid of a triangle click:

https://brainly.com/question/29868871

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which statement is true about the value of /-5/

Answers

Answer:

-Absolute value is a measure of distance. 5 is in fact 5 units from 0 on the number line, just like +5.  Its all about distance, and there are 2 things in math that will NEVER be negative...distance/length and time.

Step-by-step explanation:

Answer:

5.

Step-by-step explanation:

The absolute value measures the distance from 0. In this case, since the number is -5, the absolute value will be 5 since -5 is 5 units away from 0.

Hope this helps!

ples help meeeeeeeee

Answers

Answer:

6610

Step-by-step explanation:

Move the decimal 2 spots to the right and add 2 zeros more behind the 528.8

so its becomes 8 divide what that number is

Answer:

See attached image for calculations.

Step-by-step explanation:

To make the calculation easier, we multiply both dividend and divisor by 100 to work with whole numbers, thus

528.8/0.08 = 52880 / 8

See attached image for details.

What is the decimal multiplier to decrease by 6.9%

Answers

Step-by-step explanation:

it is 1 - 6.9/100 =0.931

the answer is 1 -6.9/100=0.931

What is the length of line segment RS? Use the law of sines to find the answer. Round to the nearest tenth. Triangle Q R S is shown. Angle Q R S is 80 degrees. The length of Q R is 2.4 and the length of Q S is 3.1. Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction 2.2 units 2.4 units 3.0 units 3.3 units

Answers

Answer: 2.4 UNITS

Step-by-step explanation:

The sine rule :

Sine A / a = Sine B / b = Sine C / c

From the diagram attached :

QR = s = 2.4 ; QS =r = 3.1 ; RS =q =?

We need to find the angle RQS

using Sine rule :

Sine R / r = Sine S / s

Sin 80° / 3.1 = sin S / 2.4

0.9848077 / 3.1 = sin S / 2.4

Sin S × 3.1 = 0.9848077 × 2.4

Sin S = 2.3635386 / 3.1

Sin S = 0.7624318

S = Sin^-1(0.7624318)

S = 49.67°

Therefore, form using ;

A + B + C = 180° ( SUM of angles in a triangle)

SQR = 180° - (QRS + QSR)

= 180° - ( 80 + 49.67)° = 50.33°

Q = 50.33°

THEREFORE,

Sine Q / q = Sin S / s

Sin 50.33° / q = Sin 49.67° / 2.4

0.7697339 / q = 0.7623295 / 2.4

0.7623295q = 0.7697339 × 2.4

q = 1.84736136 / 0.7623295

q = 2.4233108

q = Segment RS = 2.4units

Answer:

B) 2.5 is the right answer

Step-by-step explanation:

i got 100%

Zaheer, a boy of height 1.5m was watching the entire programme. Initially he observed the top of theflagpoleat an angle of elevation 300 . When he moved 10 m towards the flag post the angle of elevation of the top of the flagpole increased to 450. What is the height of the flag pole?

Answers

Answer:

[tex]h = 15.163\ meters[/tex]

Step-by-step explanation:

(Assuming the correct angles are 30° and 45°)

We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.

Let's call the initial distance of the boy to the pole 'x'.

Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

[tex]tan(30) = (h - 1.5) / x[/tex]

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

[tex]tan(45) = (h - 1.5) / (x - 10)[/tex]

So rewriting both equations using the tangents values, we have that:

[tex]0.5774 = (h - 1.5) / x[/tex]

[tex]1 = (h - 1.5) / (x - 10) \rightarrow (h - 1.5) = (x - 10)[/tex]

From the first equation, we have that:

[tex]x = (h - 1.5) / 0.5774[/tex]

Using this value of x in the second equation, we have that:

[tex]h - 1.5 = \frac{ (h - 1.5) }{0.5774} - 10[/tex]

[tex]h + 8.5 = \frac{ (h - 1.5) }{0.5774}[/tex]

[tex]0.5774h + 4.9079 = h - 1.5[/tex]

[tex]0.4226h = 6.4079[/tex]

[tex]h = 15.163\ meters[/tex]

Valentino starts with a population of 1,500 amoebas that increases 35% in size every hour for a number of hours, h. The expression 1,500(1+0.35)h finds the number of amoebas after h hours. Which statement about this expression is true?
A) It is the initial population raised to the growth factor after h hours.
B) It is the sum of the initial population and the percent increase.
C) It is the sum of the initial population and the growth factor after h hours.
D)It is the product of the initial population and the growth factor after h hours.
(explanation please!!!)

Answers

Answer:

:are you the nice brianna??????????????

Step-by-step explanation

Melinda is using construction paper to make cone-shaped table decorations. Each decoration will have
a slant height of 7.5 inches and a diameter of 5 inches. How much paper will she need to cover the
surface of 6 cone decorations?​

Answers

Answer:

The correct answer on EDG-2020 is:

c) ≈471 in.2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

credit to the first guy

The value that satisfies the equation 7/n=8/7 is

Answers

Answer:

n= 35/8

Step-by-step explanation:

7/n= 8/7

7/8 = n/7

7²/8 = n

n = 49/8

Answer:

n = 49/8

Step-by-step explanation:

[tex] \frac{7}{n} = \frac{8}{7} [/tex]

Cross multiply

We have

49 = 8n

Divide both sides by 8

n = 49/8

Hope this helps you

how do you redue 84 if possible

Answers

Answer:

The question is incomplete. You can’t reduce 84 unless yo7 want it as a power of numbers. Most likely the question is a fraction or eqaaution

Step-by-step explanation:

The length of a rectangle is 8 more than its breadth. If the perimeter of a rectangle is 84 cm. Find the dimensions of the rectangle

Answers

Step-by-step explanation:

84 = 2(l+b)

L+b = 84 / 2

L+b = 42

There fore..

Length is 42 and breadth is 42 - 8

Which one of the following is the graph of:

Answers

Answer:

B

Step-by-step explanation:

Correct if wrong

the circumference of
of 6cm (use 3.14 for pi)
A. 37.68cm
B 18.84cm
C.9.42 cm
D-9.14 cm​

Answers

Answer:

Option A

Step-by-step explanation:

Radius = 6 cm

Now, the circumference:

=> C = [tex]2\pi r[/tex]

=> C = 2(3.14)(6)

=> C = 37.68 cm

Answer:

A. 37.68cm

Step-by-step explanation:

C= 2πr = 2*3.14* 6cm= 37.68 cm

Solve 7x- c= k for x.
OA.
k+c
7
OB. X = 7(k - C)
OC. X = 7(k+C)
OD
A4-c
х

Answers

Answer:

The final answer for this equation is x = (k+c)/7

Step-by-step explanation:

7x - c = k

Add c on both sides of the equation.

7x = k + c

Divide 7 on both sides of the equation.

[tex]x=\frac{k+c}{7}[/tex]

Answer:

Answer is what the person said above me.

Step-by-step explanation:

Find the midpoint of the line segment with end coordinates of: (1,7) and (3,−2) Give coordinates as decimals where appropriate.

Answers

Answer:

(2, 2.5 )

Step-by-step explanation:

Using the midpoint formula

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

Here (x₁, y₁ ) = (1, 7) and (x₂, y₂ ) = (3, - 2) , thus

midpoint = [[tex]\frac{1}{2}[/tex](1 + 3), [tex]\frac{1}{2}[/tex] (7 - 2) ] = (2, 2.5 )

The coordinates of △ABC are A(12,8), B(10,18), C(4,16). After a dilation, the coordinates are A'(6,4), B'(5,9), C'(2,8). Find the scale factor.

Answers

Answer: B  1/2

Step-by-step explanation:

Resuelve la siguiente ecuación: 15x = 27 + 6x (escribe el valor de x nada mas) ayudaaaaaaaaa porfavor se los pidooooo!!

Answers

Answer:

x=3

Step-by-step explanation:

15x=27+6x

subtract 6x

9x=27

divide 9

x=3

X=3

Step-by-step explanation:

15x = 27 + 6x

15x - 6x =27

9x =27

X= 27/9

X= 3

[tex]hope \: this \: helps[/tex]

Please please please urgent help❤️❤️❤️

Answers

Answer:

its G(2)

Step-by-step explanation:

Gg

The answer is G 2 bahaha d. Dnsisisjbd

Solve the systems by the addition method 2x + y = - 1x - 2y = - 4

Answers

Answer:

x = -6/5

y =7/5

Step-by-step explanation:

2x + y = - 1

x - 2y = - 4

Multiply the first equation by 2 so we can eliminate y

2(2x + y = - 1)

4x + 2y = -2

Add this to the second equation

4x + 2y = -2

x - 2y = - 4

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

5x + 0y = -6

Divide by 5

5x/5 = -6/5

x = -6/5

Multiply the second equation by -2 so we can eliminate x

-2(x - 2y = - 4)

-2x+4y = 8

Add this to the first equation

2x + y = - 1

-2x+4y = 8

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

0x + 5y = 7

Divide by 5

5y/5 = 7/5

y =7/5

In circle P, EG and FH are diameters.
What is m EH?

Answers

Answer:

[tex]m(\widehat{EH})[/tex] = 130°

Step-by-step explanation:

Angles subtended at the center by the arcs [tex](\widehat{HG})[/tex] and [tex](\widehat{EF})[/tex] are ∠HPG and  ∠EPF.

Since these angles are the vertical angles both will be equal.

m∠HPG ≅ m∠EPF

3x - 10 = 2x + 10

3x - 2x = 10 + 10

x = 20

Therefore, [tex]m(\widehat{HG})=(3\times 20) - 10[/tex]

                               = 50°

Similarly [tex]m(\widehat{EF})[/tex] = 50°

In the same way angles subtended at the center will be equal.

m∠EPH ≅ m∠FPG

and [tex]m(\widehat{EH})=m(\widehat{FG})[/tex]

Since [tex]m(\widehat{EH})+m(\widehat{FG})+m(\widehat{EF})+m(\widehat{HG})=360[/tex]°

[tex]m(\widehat{EH})+m(\widehat{EH})+50+50=360[/tex]

[tex]2m(\widehat{EH})=360-100[/tex]

[tex]m(\widehat{EH})=130[/tex]

Therefore, measure of arc EH = 130°

Only answer if your are 100% sure.

Answers

Answer:

It is zero

Step-by-step explanation:

The attatched should help you understand discriminants:

Answer:C

Step-by-step explanation:

If the discriminant is negative you will have no real roots, if it is positive it will have 2 real roots, only with a discriminant of 0 will you get only one real root. Also, for undefined discriminant that is the same as a negative answer.

Can someone help me with this question please.

Answers

Answer: The length of PQ is 37 KM

Step-by-step explanation:

(x+15) + 3(x+15)+ x=245

distribute

(x+15) + 3x+45+x

remove parenthesis

x + 15 + 3x + 45 + x

Add like terms

5x + 60 = 245

Subtract 60 from both sides

5x + 60 - 60 = 245 - 60

5x = 185

divide by 5

x = 37

<!> Brainliest is appreciated! <!>

Suppose babies born in a large hospital have a mean weight of 3366 grams, and a variance of 244,036. 1118 babies are sampled at random from the hospital what is the probability that the mean weight of the sample babies would be greater than 3412 gram answer to four decimal places Round your

Answers

Answer: 0.0009

Step-by-step explanation:

Given : Babies born in a large hospital have a mean weight of 3366 grams, and a variance of 244,036.

i.e. [tex]\mu=3366[/tex]  and [tex]\sigma^2 = 244036\Rightarrow\ \sigma= \sqrt{244036}=494[/tex]

Sample size = 1118

Let [tex]\overline{X}[/tex] be the sample mean weight of babies.

Then, the probability that the mean weight of the sample babies would be greater than 3412 gram:

[tex]P(\overline{X}>3412)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{3412-3366}{\dfrac{494}{\sqrt{1118}}})\\\\=P(Z>\dfrac{46}{14.7743})\ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\\approxP(Z>3.11)\\\\= 1-P(Z<3.11)\\\\=1-0.9991=0.0009[/tex]

Hence, the required probability = 0.0009

PLZ HELP I DONT UNDERSTAND A password for a security system must consist of a eater followed by two digits. How many possible passwords are there?

Answers

Answer:

7020

Step-by-step explanation:

The letter could be any 1 of the 26 and it could be placed in any 1 of 3 places so this makes 26*3 = 78 possibilities.

For each of these  there is any one of  permutations of 2 digits from 10

= 10P2 = 10! / 8! = 10*9 = 90.

So the answer is 78 * 90 =  7020.

Note I am assuming that the 2 digits picked are different - no duplicates.

please mark me brainliest!

***BRAINLIEST ANSWER**
Line segment TS is tangent to circle O at point N. If the measure of AngleQNT is 65°, what is the measure of Arc QPN?
65
74
130
148 ​

Answers

Answer:

130°

Step-by-step explanation:

Arc QPN is formed by angle QNT. Angle QNT is formed by an intersecting tangent and chord meaning arc QPN is two times the measure of angle QNT.

65° · 2 = 130°

The price of a holiday was increased by 11% to £870. What was the price before the increase? Give your answer to the nearest penny.

Answers

Answer:

£783.78

Step-by-step explanation:

Let the price before be x

Then the price after is:

x + 11% of x = £870x*1.11 = £870x = £870/1.11x = £783.78 rounded to the nearest penny

Trig work i don’t understand. pls help

Answers

Answer: A

Step-by-step explanation:

So we know that to find the area of a triangle you have to multiply the base times the height and divide it by two or multiply it by 1/2.Looking the information given it say that theta is equal to 26 degrees  and the length of a or the hypotenuse is 25 and b which in this case is the base is 32. So the information gives us the base but now we need to find the height.

To find  H we need to apply trigonometry solve for h the height.

As we could see theta which is 26 degrees is opposite the height and we know the hypotenuse length. So using soh cah toh we have to know that the length of h is  going to be using the sin formula opposite over hypotenuse.

[tex]sin(26)=\frac{h}{25}[/tex]    solve for h by multiplying both sides by 25.

h= 25 sin(26)

h= 10.96   is being rounded to the nearest hundredth because that is essential

Now we know H is equal to 10.96  which is the Height so now we have all the information we need the height and the base.

Multiply 10.96 by 32 and divide it by 2.

10.96 * 32 =  350.72

350.72 /2 = 176.36  

The best answer is A  because that is the only best approximation to 175.35.

How do you write 5.4 × 103 as an ordinary number?

Answers

Answer:

5400

Step-by-step explanation:

5.4 × 10³

Move the decimal point 3 places to the right.

⇒ 5400

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