Write 7 × √7 as a single power of 7.

Answer:

[tex]\left(7+x\right)^{12}[/tex]

Step-by-step explanation:

[tex]\left\{\left(7+x\right)^4\right\}^3[/tex]

[tex]\left(\left(7+x\right)^4\right)^3[/tex]

Let's apply the exponent rule:

[tex]\left(\left(7+x\right)^4\right)^3=\left(7+x\right)^{4\times \:3}[/tex]

Multiply 4*3=12

[tex]\left(7+x\right)^{12}[/tex]

~

Hope this helps!

Answer:

72500

73205

72968

72758

73261

She used 29.8 feet of fencing for the fence -> The circumference of the circular garden is 29.8ft

Formula for circumference : 2πr

So, the radius is equal to : 29.8 : 2 : π = 4.74281730414... (round to 4.7)

Recheck : 4.7 x 2π = 29.5309709437... (close to 29.8)

The (2x,2y) column data is: A'=(-2,-6), B'=(-2,2), C'=(10,2) and D'=(10,-6). See the sketch of the (x,y) column and the (2x, 2y) column in the image 5.

The Cartesian graph presents x-axis (horizontal) and y-axis (vertical) that intercept in the origin (0,0). This type of graph is used to plot x and y coordinates.

The points, in the plane, are represented as (x,y).

Hence for your question:

A=(-1,-3) ⇒ -1 is x-coordinate and -3 is y-coordinate.

B=(-1,1) ⇒ -1 is x-coordinate and 1 is y-coordinate.

C=(5,1) ⇒ 5 is x-coordinate and 1 is y-coordinate.

D=(5,-3) ⇒ 5 is x-coordinate and -3 is y-coordinate.

For solving this question, you should plot the given points on a Cartesian graph.

      The result of this step you can see in the image 1.

         The result of this step you can see in the image 2.

         The result of this step you can see in the image 3. Now you see a rectangle.

       Thus, you should multiply x-coordinate and y-coordinate by 2.

       A=(-1,-3) ⇒ A'=(-2,-6)

       B=(-1,1)   ⇒ B'=(-2,2)

       C=(5,1)   ⇒ C'=(10,2)

       D=(5,-3) ⇒ D'=(10,-6)

       The result of this step you can see in the image 4.

         The result of this step you can see in the image 5. Now you see a new red rectangle with dimensions greater than the black rectangle plotted from (x,y) column.

Read more about point coordinates here:

https://brainly.com/question/25168970

Answer:

(x² - 13x - 10) sq. ft.

Step-by-step explanation:

f(x) = (x - 5) (3x + 2)

= 3x² + 2x - 15x - 10

= (x² - 13x - 10) sq. ft.

Hello!

Let's solve this question by using elimination.

5x + 10y = 7

4x + 8y = 3

Let us solve for "y" first by making our "x" variables cancel each other out.

4(5x + 10y = 7)

-5(4x + 8y = 3)

20x + 40y = 28

-20x -40y = -15

0 = 13

Since both the "x" and "y" variables were canceled out after trying to eliminate one of the variables, we can't find a solution since we now have no variables to solve for, therefore there is no solution.

Answer: No solutions

Answer:

Step-by-step explanation:

Angle 5 is opposite to 37 => It's equal to 37.
Angle 6 and 7 are supplementary to angle 5 => They are equal to 180 - 37 = 143 each.

Angle 4 is corresponding to Angle 7, and since the 2 lines are parallel, it's equal to 143.

Angle 1 and 3 is supplementary to Angle 4, so they are equal to 180-143 = 37 each

Angle 2 is opposite to Angle 4, so it's equal to 143.


Answer : Angle 1,3,5 = 37
Angle 2,4,6,7 = 143

Answer:

Difference of volume of air = [tex]17182.08cm^{3}[/tex]

Step-by-step explanation:

Radius of ball = 18 cm

Volume of big ball = [tex]\frac{3}{4} \pi o^{3}[/tex]

                               = 4/3 x * 14 X 18[tex]^{3}[/tex]

                               = 7324g * g2/ 3

                               = 24416.64cm^3

Radious of another (small ball) = 12 cm

Volume of small ball = [tex]\frac{3}{4} \pi R^{3}[/tex]

                                  = 4/3 x 3 * 14 X 12^3

                                  = 21703.68/ 3

                                  = 7234 * 56cm^3

Difference of volume = [tex]v_{b} -v _{s}[/tex]

                                   = 24416 * 64 -  7234 * 56cm^3

                                   = 17182 * 08 cm^3

Answer:

What I understand is that I need to give someone an exact number so that when 30% is taken, they keep exactly 35,000

To make the statement above true, we would need to divide 35,000 by 7 since the answer would be 10% of the number we need. Once we do this we get 5000 which is 10% now we multiply 5000 by 10 to get 100% and we get 50.000 once we give this amount to the person and 30% is taken away they are left with 35,000

Answer:

A.

Step-by-step explanation:

I'm not sure how to solve it properly, but i graphed it and A was the answer.

First box

4/10

0.4 divided by 1

0.4/1 *10

= 4/10

Box on top that's the point where it's 3 away from 4/10

0.7

Bottom

7/10

0.7 divided by 1

0.7/1*10

= 7/10

Next box

0.9

9/10

= 0.9

Answer:

y= -2

Step-by-step explanation:

The line y = -2 is half way between the 2 shapes (there are 3 squares between the line).

If you were to have a mirror and place it down this line, you would be able to see that the shapes are reflected in the exact same place.

I have attached a photo to help demonstrate what y= -2 looks like :)

Hope this helps!

Answer:

y=-1

Step-by-step explanation:

The line of reflection is y = -1

Answer:

70

Step-by-step explanation:

There are 6 numbers that end with 0 and are between 50 and 100 : 50,60,70,80,90,100. And only 70 is the multiple of 7, so 70 is the number.

Answer:

The answer is B!

Step-by-step explanation:

If you can figure out one part you can get the second part.

I went for the second part and got 471 so the only answer is b!

Have an amazing day!

Please mark brainliest!

Answer:

Step-by-step explanation:

V=1/3 πr²h

700 π=1/3 πr²×21

r²=100

r=√100=10 units

Answer:

r = 10

Step-by-step explanation:

Using the formula:

[tex]V = \pi r^{2} \frac{h}{3}[/tex]

We make r the subject to get:

[tex]r = \sqrt{3 \frac{V}{\pi h} }[/tex]

Now we substitute values given and simplify:

r = [tex]\sqrt{3 \frac{700\pi }{21\pi } }[/tex]

We can cancel out pi from top and bottom:

r = [tex]\sqrt{3 \frac{700 }{21 } }[/tex]

We can do 700÷21 = 33.3333333333

Now we have:

[tex]r = \sqrt{3 *33.3333333333}[/tex]
Simplify to get :

r ≈ 10

Answer: 10

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

[tex]14x - 38 = 2(51)[/tex]

[tex]14x - 38 = 102[/tex]

[tex]14x = 102 + 38[/tex]

[tex] \cfrac{14x}{14} = \cfrac{140}{14} [/tex]

[tex]x = 10[/tex]

~

Step-by-step explanation:

[tex]10 + |10n + 6 | = 76 \\ \\ |10n + 6 | = 76 - 10 \\ |10n + 6 | = 66 \\ 10n + 6 = 66 \: \: \: \: \: or \: \: \: \: 10n + 6 = - 66 \\ 10n = 66 - 6 \: \: \: \: \: \: \: 10n = - 66 - 6 \\ 10n = 60 \: \: \: \: \: \: \: \: \: 10n = - 72 \\ n = 6 \: \: \: \: \: n = - 7.2[/tex]

Answer:

As with any function, the domain of a quadratic function f(x) is the set of x -values for which the function is defined, and the range is the set of all the output values (values of f ). Quadratic functions generally have the whole real line as their domain: any x is a legitimate input. The vertex will be the minimum (lowest point) of the graph if and the maximum (highest point) of the graph if

Answer:

m1 = 44 m2 = 46

Step-by-step explanation:

On the opposite side of the 1, there is a 44

The 1 and 44 seem like the same angle so m1 is 44

Rectangles have four right angles which measure as 90°

90-44 = 46

Please give brainliest if I helped! :)

Answer: m1 = 44 m2 = 46

Step-by-step explanation:

Step-by-step explanation:

[tex]slpoe = \frac{12 - 2}{2 - - 3} \\ \frac{10}{5} \\ 2[/tex]

now use point slope formula

[tex]( y - 2) = 5(x - - 3) \\ (y - 2) = 5(x + 3)[/tex]

Answer:

ok so lets see how much money she needs to earn today

200-88=122

so she needs 122 dollars

so lets see how many km that is

122/8=15.25

so she needs to walk 16 km on sunday

Hope This Helps!!!

Answer:

7/8

Step-by-step explanation:

Answer:

a: 42%

b: 68%

Step-by-step explanation:

Answer:

1. The probability of selecting a senior is 0.42 (42%).

2. The probability of not selecting a freshman is 0.68 (68%).

Step-by-step explanation:

Total students: 19

1. [tex]\frac{8}{19} = 0.42[/tex]

2. [tex]\frac{13}{19} = 0.68[/tex]

The value of x to 1 decimal place is,

⇒ x = 128.2 mm

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The figure of triangle is shown.

Here, The length of perpendicular distance = x mm

And, The hypotenuse = 178 mm

Hence, We get;

⇒ sin 34° = x / 178

⇒ 0.72 = x/178

⇒ x = 0.72 × 178

⇒ x = 128.2 mm

Learn more about the triangle visit;

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#SPJ2

Answer:

[tex](8 + 3) \times (2 - 2) \\ \\ = 11 \times 0 \\ \\ = 0[/tex]

# be careful#

Step-by-step explanation:

We're going to simplify what's in the parentheses first.

[tex](8+3)×(2-2)[/tex]

[tex]11 \times 0[/tex]

When a number is multiplied by 0, the product always remains 0.

[tex]11 \times 0 = 0[/tex]

Answer:

Step-by-step explanation:

Every 5 ice cream cones a customer buy, they get 1 for free.
It means, every 5 ice cream they buy, they get 6

=> The ratio for it is 5:6

:D

Applying the Pythagorean theorem, the length of the altitude is: 7.79 units.

The Pythagorean Theorem is given as: c² = b² + a², where c is the hypotenuse.

An altitude of an equilateral triangle bisects the base of the triangle forming equal segments. Therefore, we would have the following:

c = 9

b = 4.5

Length of altitude = a = ?

Thus:

a = √(c² - b²)

a = √(9² - 4.5²)

a = 7.79 units.

Thus, applying the Pythagorean theorem, the length of the altitude is: 7.79 units.

Learn more about Pythagorean Theorem on:

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The truss bridge should depict a congruent triangle by having equal sides and angles.

It should be noted that the congruence of a triangle simply means that a triangle that has all the three corresponding sides to be equal.

In this case, after designing the truss bridge model, it's important that the sides of the model are equal. Also, the corresponding angles of the model have to be equal too.

Learn more about triangles on:

https://brainly.com/question/17335144