#1: Evaluate the expression for the given value of the variable. *
x + 7; X = 12​

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].

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]

To learn more on radical functions, we kindly invite to check this verified question: https://brainly.com/question/13430746

Answer:

[tex]f(1)=-5[/tex]

Step-by-step explanation:

[tex]f(1)=-2(1)-3\\\\f(1)=-2-3\\\\f(1)=-5[/tex]

f(1) means to substitute x with 1 or that x=1. So since x=1  you will substitute it in where x is and then solve like a regular equation which will give you -5.

Answer:

R= -0.95

Step-by-step explanation:

HOPE THIS HELPS :)

Answer:

Step-by-step explanation:

The area of the square is 3 units by 3 units. because the area of a square is side length squared.

side length = 3

side length^2 = 3 * 3 = 9

The area of a circle is much harder to reason out. You could start with the area of a square and use the diameter is 3 units. But the corners are rounded and you don't know off hand what the area of one of them is, let alone all 4. You are given a formula for circles area, but you have no real idea what the formula actually means. Does it take the corner area into account? At the beginning levels, we don't know.

Answer:

The area of the square is 9 aka [tex]3^{2}[/tex]

You can find it easily by just counting the number of squares inside the square, or by counting the number of squares at its length then multiplying it by its width; so 3 x 3 = 9

It wouldn't be as easy to find the area of the circle because you don't have the radius, nor diameter, so basically, no quantitative values could be used to at least guess.

Answer:

Well add up the sides you can make the curving part into a full circle and calculate for the circumference.

So if the half of the circle straight part is 62 you times it by π. But π (pi) can be a fraction and a decimal: 22/7 or 3.14 although (pi) is 3.14 that is because after .14 there is ton of number so it constantly continues.

Method:

C = 2πr

or

C = πr

I hope this gives you a hint.

Answer:

394.68 m

Step-by-step explanation:

The 2 ends are half circles, so together they make a circle.

The diameter is 62 m, so the circumference is pi x diameter, or 3.14 x 62 = 194.68.

The top and bottom parts of the track are each 100 m, so add 2 of them = 200 m.

Add all 3 parts 194.68 + 200 = 394.68 m.

Answer:

Step-by-step explanation:

The expressions that are equivalent when m = 1 and m = 4 is;

Option B: 3m + 4 and m + 4 + 2m

We are given m = 1 and m =4;

A) 5m - 3 and 2m + 5 + m

B) 3m + 4 and m + 4 + 2m

C) 2m + 7 and 3m - 3 + m

D) 5m + 3 and 4m + 2 + 2m

For option B; 3m + 4 and m + 4 + 2m

Let's put m = 1

3(1) + 4 = 7

Also, 1 + 4 + 2(1) = 7

Similarly, let us put 4 for m to get;

3(4) + 4 = 16

Also, 4 + 4 + 2(4) = 16

In both cases, the expressions are equivalent and as such option B is the right one.

Read more about algebra simplifications at; https://brainly.com/question/4344214

If the side length is n, then the perimeter is 9n. The closest multiple of 9 to 80 is 81, so n = 9.

Step-by-step explanation:

A nonagon is a shape with 9 sides. A regular shape means that all angles and sides of the shape is equal. That means let call the side of the nonagon, n. That means the perimeter which is 80, which means all side, n will add up.

[tex]n + n + n + n + n + n + n + n + n = 80[/tex]

or

[tex]9n = 80[/tex]

Solve for n

[tex]n = \frac{80}{9} [/tex]

This rounded would make our interger side, 9

Answer:

the equation is linear, the equation is y=9.8x

Step-by-step explanation:

Answer: 125 centimeters

1,250 millimeters

Step-by-step explanation:

'centi' means hundred. 100 centimeters go into a meter.

'milli' means thousand. 1,000 millimeters go into a meter. Easy math from there.

Answers:

===============================================

Explanation:

The domain consists of the set of x coordinates of each point. In this case, we only have one x value listed. The domain is {15}. Use curly braces even if there's only one item. This tells the reader we have a set.

The range is {0,-2} to indicate the y coordinates of the two points.

We don't have a function because x = 15 repeats itself. The input x = 15 leads to multiple outputs at the same time, which isn't allowed if you want a function. You can use the vertical line test as a visual way to see that we don't have a function.

Answer:you can compare 108 to the other sides :)

Step-by-step explanation:

Answer: $12.60 per hour

Step-by-step explanation:

5% of 12 is 0.60

12 + 0.60 = 12.60

Hope you have a great day

Answer:

$12.60 per hour

Step-by-step explanation:

5% of 12 is 0.60

and 12 + 0.60 = 12.60

Hope it makes sense

Answer:

B

Step-by-step explanation:

Answer:

I think Mikhail's age is 5

The question say Gabrielle's age is 3 times his

so 5 × 3 = 15

15 + 5 = 20

Answer:

p=q

Step-by-step explanation:

all angles together is 180. p=70 degrees and q = 70 degrees

The smallest integer greater than 2000 for both the fractions [tex]\frac{17k}{66} \ and \ \frac{13k}{105}[/tex] to be terminating decimals is 2079.

K is greater than 2000.

[tex]k> 2000\\[/tex].

Given fractions are

[tex]\dfrac{17k}{66} \ and \ \dfrac{13k}{105}[/tex].

In order for the decimal equivalents to be terminating, the only factors that can remain in the denominators are 2 and 5.

Here, the given denominators are 66 and 105 respectively.

Now factors of 66 will be 2,3,11.

And the factors of 105 will be 3,5,7.

So, the value of k must be multiples of 3, 7, and 11. The LCM of these numbers will be,

[tex]3\times 7\times 11=231[/tex]

Now the value of K must be greater than 2000, so the multiple of 231 which is greater than 2000 is its [tex]9^{th}[/tex] multiple,

[tex]231\times9=2079[/tex]

Hence 2079 is the smallest integer greater than 2000 for both the fractions [tex]\frac{17k}{66} \ and \ \frac{13k}{105}[/tex] to be terminating decimals.

For more details on terminating decimals follow the link:

https://brainly.com/question/5286788

[tex]2x +y = 20~~....(i)\\\\6x -5y = -4~~....(ii)\\\\\\\text{Multiply equation (i) by 3:}\\\\6x +3y = 60~~...(iii)\\\\(iii)-(ii):\\\\6x+3y - 6x+5y = 60-(-4)\\\\\implies 8y = 60+4 = 64\\\\\implies y = \dfrac{64}8\\\\\implies y = 8\\\\\\\text{Substitute y =8 in equation (i):}\\\\2x+8 =20\\\\\implies 2x = 20-8 = 12\\\\\implies x = \dfrac{12}2 = 6\\\\\text{Hence (x,y) = (6, 8)}[/tex]

Answer:

(x,y) = (6, 8); please give Brainliest if this helped you

Step-by-step explanation:

Part B (Taxi):

12 miles = 0.5 miles + (115×0.1) miles

Rate: $2.40 + (115×0.20)

         = $25.40

Total cost (with tip): $25.40 + $2

                               = $27.40

20 miles = 0.5 miles + (195×0.1) miles

Rate: $2.40 + (195×0.20)

         = $41.40

Total cost (with tip): $41.40 + $2

                               = $43.40

50 miles = 0.5 miles + (495×0.1) miles

Rate: $2.40 + (495×0.20)

         = $101.40

Total cost (with tip): $101.40 + $2

                               = $103.40

Part B (Uber):

12 miles (rate) = $1 + ($1.05×12)

                        = $13.60

Total cost (with tip): $13.60 + $2

                               = $15.60

20 miles (rate) = $1 + ($1.05×20)

                         = $22

Total cost (with tip): $22 + $2

                               = $24

50 miles (rate) = $1 + ($1.05×50)

                        = $53.50

Total cost (with tip): $53.50 + $2

                               = $55.50

Part C

Uber is a better mode of transportation. This is because given the same distance travelled for both the taxi and the Uber, Uber has a lower cost compared to the taxi.

The party was attended by Karen, her mother, 4 other adults, and 110 of Karen's friends, for a total of $ 555.

Since Karen invited 150 friends to her 15th birthday party, but not everyone can attend, Karen's mother want one adult for every 25 of her friends, and the cost of food is $ 20 for every four of her friends, and the adults eat for free, if a total of 116 people (including Karen and her mother) go to the party, to determine how many are adults and how many are Karen's friends and how much will the food cost, the following calculations must be performed:

Therefore, the party was attended by Karen, her mother, 4 other adults, and 110 of Karen's friends, for a total of $ 555.

Learn more about maths in https://brainly.com/question/25865591

Answer:

x=7

Step-by-step explanation:

Hope this helps!

Answer:

$180,000 is 10% $9,000 is 5%

Step-by-step explanation:

To solve for this, you would set up a ratio and cross-multiply.

$18,000/$180,000 = x%/100%

(18,000)(100) = 180,000x

1,800,000 = 180,000x

10 = x

9,000/180,000 = x/100

900,000 = 180,000x

5 = x

OR

$18,000 ÷ 2 = $9,000

10% ÷ 2 = 5%

Answer:

Sister = 15 years old

Brother = 12 years old

Step-by-step explanation:

Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X

Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have

B = 3X

S = 4X

B-3 = (3/4)(S-3)

Therefore, we have a system of equations

B = (4/5)S

B-3 = (3/4)(S-3)

Substitute (4/5)S for B into the second equation to only have one variable

(4/5)S - 3 = (3/4)(S-3)

(4/5)S - 3 = (3/4)S - 9/4

add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient

(1/20)S = 3/4

multiply both sides by 20 to isolate the S

S = 15

B = (4/5)S = 12

Answer:

B.  x = 33

Step-by-step explanation:

Answer:

C. 2/12

Step-by-step explanation:

multiplication  and when two negatives are multiplied together they always equal a positive i hope this helps have a great day :)

Answer:

There are a few key features of a graph; though I'm not exactly sure which ones are the '4 key features'

Step-by-step explanation:

There are a few key features of a graph.

- (x and y) intercepts

- Domain

- Range

- Increasing/Decreasing

- Vertex

-Max/min

- is the graph a function?

I'm not exactly sure what the 4 main key features of a graph is; since there are many features of a graph.

But I'm guessing its the

-x and y intercept

-Max/min

-Domain

-Range

The x intercept is (-15,0)

y intercept is (0,-5)

I was never properly taught how to find the domain and range of a graph, and I can't really find much about the domain and range of graphs that have no clear end to either side (continuous line) so I'm sorry, I can't really help you on that.

Answer:

Linear graph

Slope is 1/3

The y intercept is -5

The x intercept is -15

Step-by-step explanation:

The graph is a straight line graph

Slope = ∆y/∆x

= (-5 - 0)/-15-0

= -5/-15

= 1/3

Y-intercept is the value on the y-axis when x is 0

X-intercept is the value on the x-axis when y is 0