[tex]\huge \dag \sf{Answer \: it}[/tex]​
See the question below

Find n, if n is an integer.
[tex] \sqrt[3]{n + \sqrt{ {n}^{2} + 8 } }+ \sqrt[3]{n - \sqrt{ {n}^{2} + 8 } } = 8 \: [/tex]
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Answers

Answer 1

The value of [tex]n[/tex] such that [tex]\sqrt[3]{n+\sqrt{n^{2}+8}}+ \sqrt[3]{n-\sqrt{n^{2}+8}} = 8 [/tex] is [tex]280[/tex].

Procedure - Determination of the root of radical function

In this question we need to find the root of the radical function [tex]\sqrt[3]{n+\sqrt{n^{2}+8}}+ \sqrt[3]{n-\sqrt{n^{2}+8}} = 8 [/tex], which must be simplified by algebraic means.

First, we need to elevate each side of the expression by third power:

[tex]\left(\sqrt[3]{n+\sqrt{n^{2}+8}} + \sqrt[3]{n+\sqrt{n^{2}+8}} \right)^{3} = 512[/tex]

[tex]2\cdot n + 3\cdot \sqrt[3]{(n+\sqrt{n^{2}+8})^{2}\cdot (n-\sqrt{n^{2}+8})} + 3\cdot \sqrt[3]{(n-\sqrt{n^{2}+8})^{2}\cdot (n+\sqrt{n^{2}+8})} = 512[/tex]

[tex]2\cdot n -6\cdot (\sqrt[3]{n+\sqrt{n^{2}+8}} + \sqrt[3]{n-\sqrt{n^{2}+8}}) = 512[/tex]

[tex]2\cdot n - 6\cdot (8) = 512[/tex]

[tex]n = 280[/tex]

The value of [tex]n[/tex] such that [tex]\sqrt[3]{n+\sqrt{n^{2}+8}}+ \sqrt[3]{n-\sqrt{n^{2}+8}} = 8 [/tex] is [tex]280[/tex]. [tex]\blacksquare[/tex]

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A bookstore sells 2 books for $22.50 which table represents the relationship between number of books and the total price

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Answer:

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Step-by-step explanation:

VW to WY have the ratio 3/2.

VX to XZ must have the same ratio.

and VX > VW.

so,

30 and 20 is possible, as 30/20 = 3/2.

3 and 2 is not possible, because 6 > 3.

27 and 18 is possible, as 27/18 = 3/2.

13.2 and 8.8 is possible, 13.2/8.8 = 3/2.

8.7 and 5.7 is not possible, as 8.7/5.7 is not 3/2.

8.7/3 = 2.9

but 2.9×2 = 5.8 and not 5.7.

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When you have the same base buy different exponents, subtract the exponents:
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The equation of the line has the form: y = ax+b parallel to the line y = -2x + 7
=> a= -2
Passes through (4,1) => x=4, y=1
Substituting into the equation:
1= -2x(4) + b => b= 9
=> y= -2x + 9

It is a Saturday morning, and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers charge extra to come out on weekends, Jeremy is planning to use buckets to catch the dripping water. He places a bucket under the drip and steps outside to walk the dog. In 20 min, the bucket is 1/8 of the way full. What is the rate at which the water is leaking per hour? and what is the longest time he can be away from the house before the bucket will overflow?

Answers

Step-by-step explanation:

You start by asking yourself or as I call it crossmultiply

if 20 min the bucket is 1/8 full what about 8/8 or a whole

20×8/8×1/8

=160 min or 2.6 hrs

Answer:

[tex]2\frac{1}{2} hours[/tex]

Step-by-step explanation:

What is the rate at which the water is leaking per hour?

rate: [tex]\frac{1}{5} buckets = \frac{1}{5}/ \frac{1}{2} buckets/ hr\\ ----\\\frac{1}{2} hour = \frac{2}{5} buckets/ hr[/tex]

Write an equation that represents the relationship between the number of buckets filled, , in hours.

[tex]y=\frac{2}{5}x[/tex]

What is the longest that Jeremy can be away from the house before the bucket will overflow?

[tex]\frac{5}{2}[/tex] or  [tex]2\frac{1}{2} hours[/tex]

What is the slope of a line perpendicular to the line whose equation is x-y=6x−y=6. Fully simplify your answer.

Answers

It should by the answer but if not sorry
Answer:
(X,Y)
(0,6)

the weight of a chimpanzee ,y in pounds x months after birth is modeled by the equation y=1.5x+8. Which represents the equation when solved for x?

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Answer:

Step-by-step explanation:

What is the equation of the line in standard form?​

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(2,2)

Step-by-step explanation:

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Which triangles could not be similar to triangle ABC ? triangle a b c with right angle b. side a b is 12 cm. side b c is 5 cm. side a c is 13 cm. Select each correct answer. Right triangle D E F with right angle at E. D E is 8 centimeters. D F is 10 centimeters. E F is 6 centimeters. Right triangle J K L with right angle at K. J K is 36 centimeters. J L is 39 centimeters. K L is 25 centimeters. Right triangle M N O with right angle at N. M N is 35 centimeters. M O is 37 centimeters. N O is 12 centimeters. Right triangle G H I with right angle at H. G H is 6 centimeters. G I is 6.5 centimeters. H I is 2.5 centimeters.

Answers

Answer:

triangle JKL

Step-by-step explanation:

This is because the lengths of each side JKL is a factor to ABC

respectively .

AB=12,JK=36

AC=13,JL=39

BC=5,KL=25

I hope you understand

The recipe for 4 people says I need 300g of sugar. I am making for 10 people. How much sugar do I need in g?​

Answers

Answer:

750g

Step-by-step explanation:

300 divided by 4, for amount of sugar per person

you'll get 75

then multiply 75 by 10 for 10 people

you get 750g

Reflect parallelogram EFGH with E(-4,5), F(3,6), G(2,3) and H(-5,2) in the x-axis. what are the coordinates of F?

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The answer should be (3,-6)

The winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 2.5 miles. He finished the race in 54 minutes. For the entire triathlon, what was his average speed in miles per hour?

Answers

Answer:

15 or 15.546

Step-by-step explanation:

you add all the numbers then divide by 54

Based on the information given, the speed is 20 miles per hour.

From the information given, the winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 2.5 miles and he finished the race in 54 minutes.

Note that 54 minutes = 0.9 hour.

The speed will be:

= (0.5 + 15 + 2.5) / 0.9

= 18/0.9

= 20 miles per hour.

Learn more about speed on:

https://brainly.com/question/4931057

A car is traveling at a steady speed. It travels 2 1/2 miles in 3 1/3 minutes. How far will it travel in ​21 minute? In ​1 hour?

Answers

15 3/4 miles in 21 minutes
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Answers

Answer: 50

Step-by-step explanation:

5x + 55 = 2x + 100

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3x = 45

x = 15

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180 = 130 + y

50 = y

angle is 50

Answer:m∠2 = 50°Step-by-step explanation:

We know that:

=> m∠2 + 5x + 55 = 180°=> 5x + 55 = 2x + 100

Because of 180° angle formula.

First, let's solve for x. Then we will solve m∠2.

=> 5x + 55 = 2x + 100=> 5x - 2x = 100 - 55=> 3x = 45=> x = 15

Since we have found x, it is time to find m∠2.

=> 5(15) + 55 + m∠2 = 180=> 75 + 55 + m∠2 = 180=> 130 + m∠2 = 180=> m∠2 = 180 - 130=> m∠2 = 50Conclusion:

Therefore, the measure of m∠2 is 50°

Hoped this helped.

[tex]BrainiacUser1357[/tex]

if a car travels for 3 hours its average speed is 75km/h work out the total distance the car travels

Answers

Answer:

225 km

Step-by-step explanation:

75 · 3 = 225

Answer:

225 km

Step-by-step explanation:

Distance = Speed × Time

Distance = 75km/h × 3

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Answers

Answer: 1.  w=-30%

              2.   c=361

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PLEASE HELP QUESTION IN PIC.

Answers

Answer:

Perimeter= 40

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Step-by-step explanation:

..............................

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Answer:

A rational number is a number that doesn't terminate or repeat

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Answer:

pi

Step-by-step explanation:


3
x
+
y
=
−3x+y=



3
−3

6
x
+
2
y
=
−6x+2y=



3
−3

Answers

Answer: -3x+4

Step-by-step explanation:

combine like terms.

3x+ -6x=-3

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Select the correct answer.
If a = 0.3 and b =0.5, what is the value of a+b?
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D.88/100

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Select the correct answer.
If a = 0.3 and b =0.5, what is the value of a+b?
A.8/10
B.8/9
C.80/99
D.88/100

Hey Love!<3 It would be

A.8/10

Answer:

B

Step-by-step explanation:

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Answer:

total surface area of a cylinder is 471 cm²

A cylindrical, wooden table top has a density of 0.42 g cm 3 and a mass of 0.25 kg.
The table top has a depth of 6 cm.
Find the radius of the table top, rounded to 1 dp.

Answers

The radius of the table top, rounded to 1 dp is 5.6 cm

From the question,

We are to determine the radius of the table top

First, we will determine the volume of the cylindrical wooden table

From the given information

Density = 0.42 g/cm³

Mass = 0.25 kg = 250 g

Using the formula

[tex]Volume = \frac{Mass}{Density}[/tex]

∴ [tex]Volume = \frac{250}{0.42}[/tex]

Volume = 595.238 cm³

Now, for the radius of the table top

Using the formula for volume of a cylinder

[tex]V = \pi r^{2}h[/tex]

Where V is the volume

r is the radius

and h is the height or depth

From the given information

h = 6cm

Putting the parameters into the formula

[tex]595.238 = \pi r^{2} \times 6[/tex]

∴ [tex]r^{2} = \frac{595.238}{6\pi }[/tex]

[tex]r^{2} =31.57835667[/tex]

[tex]r =\sqrt{31.57835667}[/tex]

r = 5.6 cm

Hence, the radius of the table top, rounded to 1 dp is 5.6 cm

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which integer represents 8°c below 0?immersive reader (1 point)

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Answer: -8

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A solid object where the radius of bse is 7cm and height is 12cm​

Answers

Answer:

A cylinder with a base radius of 7cm and a height of 12 cm.

Step-by-step explanation:

A solid object =7cm

height=12cm

Now,

we know that l = b×g

=12×7

= 84

The temperature at 7:00 a.m, was 12 C, and by 7:00 p.m, it had dropped
to -10°C. Which expression represents the change in temperature:

(A 12 + (-10)

(B 12 - 10

(C -10 + 12

(D -10 - 12

Answers

Answer:  D    -10 - 12

Step-by-step explanation:

Temperature change is (Final T) - (Initial T)

(Final T) = -10C

(Initial T) =  12

(Final T) - (Initial T) = -10C - 12C

Temp Change - 22C

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Answers

Answer:

Car 1

Step-by-step explanation:

Answer: Car 1

Step-by-step explanation:

Notice that the speed of each car is the slope of the line that represents its average speed.

Since the graph of the speed of Car 1 passes through (0,0) and (4,256), we get that its slope is:

256/4 = 64

Therefore the average speed of Car 1 is 64 mi/h.

 Now, since the equation that represents the average speed of Car 2 is in slope-intercept form, we get that its slope is 55.

Therefore the average speed of Car 2 is 55 mi/h.

Answer: Car 1.

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Answer:

Step-by-step explanation:

any minus temperature is < 7oC

0 is < 7oC

1 ... 6 is < 7oC

A car is 200 inches long the truck is 50% longer than the car how long is the truck

Answers

Answer:

300

Step-by-step explanation:

This question is pretty simple.

First, we just have to find 50% of 200.

So 50% is also 1/2.

1/2 of 200 is just 100. The question says that the truck is 50% LONGER than the car.

So 50% longer is 100 and 100+200(the length of the car) is 300.

The answer.

d20) A department store buys 200 shirts at
of $2,400 and sells them at a selling price of $20
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Pls answer now I need it pls

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This is the answer you’re welcome
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