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Simplify!!

Answer:

2^2×20

Step-by-step explanation:

2^2×20

because 2×20=40

so, 2^2×20=2^40

The Following are the representation of [tex]2^{40[/tex] as a power in different bases

a) [tex]2^{ 2 * 20}[/tex]

b) [tex]2^{ 5 * 8}[/tex]

c) [tex]2^{ 8 * 5}[/tex]

d) [tex]2^{ 10 * 2}[/tex]

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.

Given:

[tex]2^{40[/tex] as a power

so, writing the above in given bases

a) 2²

= [tex]2^{ 2 * 20}[/tex]

= [tex]2^{40[/tex]

b)[tex]2^5[/tex]

= [tex]2^{ 5 * 8}[/tex]

= [tex]2^{40[/tex]

c) [tex]2^8[/tex]

= [tex]2^{ 8 * 5}[/tex]

= [tex]2^{40[/tex]

d) [tex]2^{10[/tex]

= [tex]2^{ 10 * 2}[/tex]

= [tex]2^{40[/tex]

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Answer:

You would be able to afford 9 gallons of gas.

Step-by-step explanation:

34.83 divided by 3.87 is 9. Have a nice day!

The number of different possible passwords possible is 6760000

The number of ways the passwords are possible is 10^4 * 26^2

10^4 * 26^2= 10000 * 676

10^4 * 26^2 = 6760000

Hence the number of different possible passwords possible is 6760000

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Answer:

its D

Step-by-step explanation:

Answer:

40-13=27

3*9=27

She bought 9 cups.

Brainliest plz

Answer:

NO solution

Step-by-step explanation:

mark me brainliest pl

Answer:

1750

Step-by-step explanation:

Just multiply 250 by 7. There are 250 km in 1cm, so in 7 centimeters, there will be 7 times as much as in 1 centimeter.

the answer for 135 times 12 is 1620

Answer:

1620

Step-by-step explanation:

u can time 12 by 135 or divide them

Answer:

4

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

4²-4¹ 2-0. -2/6= -1/3

x²-x¹ = 4-2 =

Answer:

14 feet

Step-by-step explanation:

You find this answer by adding each side. The arrow tells us that each side of a square is 1 foot, so you add up the outer sides of each square

Answer: Choice A.   sqrt(116)

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Explanation:

If we were to view a vertical cross section of the cone, then we get a triangle. This triangle splits along the vertical height line to form two congruent right triangles.

The horizontal piece of each triangle is the radius r = 4.

The vertical piece is the height h = 10.

Apply the pythagorean theorem to find the slant height, which is the hypotenuse of the right triangle.

a^2 + b^2 = c^2

r^2 + h^2 = x^2

4^2 + 10^2 = x^2

16 + 100 = x^2

116 = x^2

x^2 = 116

x = sqrt(116)

Answer:

[tex]x=\cfrac{9}{2}\: or\: x=4.5[/tex]

Step-by-step explanation:

[tex]10x+55 = 100[/tex]

[tex]10x+55-55=100-55[/tex]

[tex]10x=45[/tex]

[tex]\cfrac{10x}{10}=\cfrac{45}{10}[/tex]

[tex]x=\cfrac{9}{2}[/tex]

HOPE IT HELPS!

10x=100-55

10x=45

[tex]x = \frac{45}{10} [/tex]

[tex]x = \frac{9}{2} [/tex]

Answer:

50 minutes

Step-by-step explanation:

it takes 80 minutes for 5 pipes

so for 1 pipe it will take 5x80=400min

and for 8 pipes it will take 400/8=50min

Answer:

The answer is the last one: One runner in the study runs 31...

Step-by-step explanation:

31 is the input (x) and 81 is the output (y) and since there's 1 ordered pair per runner, it's going to be one runner, and the input is the miles ran.

The point (31, 81) tells One runner in the study runs 31 miles per week and has a standing heart rate of 81 beats per minute.

In mathematics, data is a collection of facts and figures that can take any shape, whether it be numerical or not. You can calculate numerical data, which is always gathered in number form and includes things like student test results, employee salaries, football team member heights, etc.

Given:

The college track coach conducts a study to see if the number of miles a person runs per week affects the standing heart rate (beats per minute).

So, the point (31, 81) tells that the runner run 31 miles this week with hear rate 81 beats / min

Hence, point (31, 81) tells One runner in the study runs 31 miles per week and has a standing heart rate of 81 beats per minute.

Learn more about data here:

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Answer:

Step-by-step explanation:

Given:

FV is:

Which is same as total payment:

Solve the following by graphing:

See attached

The solution is:

Total payment:

The amount of interest:

Answer:

3 *6=12

3+6=9

9+3=12

2*5=2+5=7

7+2=9

a*b=a+b+a

if any doubt leave a comment

Answer:

4 7#+$+28$;;_(#(#;$('jwhdbdisjwb

Answer:

you will bcz u didn't fail

Answer:

Andre has 4 pounds of Broccoli and 6 pounds of Zucchini.

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

6 pounds of Zucchini, and 4 pounds of broccoli equals to $17 and 2 pounds of Zucchini, and 7 pounds of broccoli equals to $17. Hope this helps.

Answer:

9 gallons will cost $13.50

Step-by-step explanation:

1 gallon = $1.50

1.50 x 9 = 13.50

or

3 gallons = $4.50

4.50 x 9 = 13.50

Answer:

13.5 dollars.

Step-by-step explanation:

4.50 times 3 is 13.5 dollars.

Have A Good Day!!! :)

Step-by-step explanation:

that is really easy too easy for that many points.

it is truly simple :

the graph (and with it the function) is shifted down by 3 units.

that means everything of the function stays the same, just the functional results are consistently lowered by 3.

so, g(x) = f(x) - 3 = -2x² - 7 - 3 = -2x² - 10

that is really all there is to it.

Answer:

0

Step-by-step explanation:

since 2 isnt up to 5, it cannot equate to 1

Answer:

[tex]\displaystyle [9, 4\frac{1}{2}][/tex]

Step-by-step explanation:

I figure these exercises out by numeric association. I see a 3, so I know right away that there might be a 9 somewhere. So, you start by plugging 3 in for [tex]\displaystyle x,[/tex] THEN plug [tex]\displaystyle 1\frac{1}{2}[/tex] in for [tex]\displaystyle y[/tex] sinse there are twise the quantity of [tex]\displaystyle y[/tex] than there are of [tex]\displaystyle x.[/tex] Now, doing so will give you [tex]\displaystyle 24 ≠ 18.[/tex] This tells you to try another pattern, so go with plugging [tex]\displaystyle 4\frac{1}{2}[/tex] in for [tex]\displaystyle y[/tex] and [tex]\displaystyle 9[/tex] in for [tex]\displaystyle x[/tex]. Doing so gives you what you are looking -- [tex]\displaystyle 36 = 36.[/tex] Therefore, the association wourked perfectly. ☑

I am joyous to assist you at any time.

That locked sign defines that both sides are equal.

The equations are

From (1) and (2)

[tex]\\ \rm\Rrightarrow 4y-9=2y[/tex]

[tex]\\ \rm\Rrightarrow 2y=9[/tex]

[tex]\\ \rm\Rrightarrow y=9/2=4.5[/tex]

Put in eq(1)

Hence

Answer:  y ≤ (1/2)x + 3

Step-by-step explanation:

The slope is 1/2 and the y-intercept is 3.

The linear inequality represented by the graph is [tex]y \le \frac 12x + 3[/tex]

From the graph, we have the following highlights:

The first highlight implies that the inequality sign to use is ≤

The slope (m) is calculated as:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{3 -4}{0-2}[/tex]

[tex]m = \frac{-1}{-2}[/tex]

[tex]m = \frac{1}{2}[/tex]

The y-intercept (b) is where the line crosses the y-axis:

b = 3

The linear inequality is represented as:

[tex]y \le mx + b[/tex]

So, we have:

[tex]y \le \frac 12x + 3[/tex]

Hence, the linear inequality is [tex]y \le \frac 12x + 3[/tex]

Read more about linear inequality at:

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Answer:

8%

Step-by-step explanation:

570 / 7125 =  x / 100

Cross multiply

570 * 100 = 7125x

57000 = 7125x

Divide each side by 7125

8 = x

Answer:

in linear algebra a linear relationship or simply relation between elements of a vector space or a module is a linear equation that has these elements as a solution

Answer:1. The coordinates of Jo’s house are (-4,-2).

Step-by-step explanation:

1. Since Jo’s house is reflected across both axes, we must reflect the coordinates two times. So we can reflect the coordinates of Kianna’s house across the x-axis first, which would give you the coordinates (4,-2). Then we reflect (4,-2) across the y axis, giving us the coordinates (-4,-2). So Jo’s house has the coordinates (-4,-2).

Hope this helps.

Answer:

Combine like terms

Step-by-step explanation:

-6x + 1

Answer:

Step-by-step explanation:

Determine which climbed at a constant rate

A constant rate would produce a straight line.  The slope is the same for all the data for that climber.  We can either calculate the slope between the first and last intervals and see if the slope changes.  Or we can graph the points, which I chose to do.  See the attachment.

Note that Joe's rate is not constant.  It appears as though he's wearing down.  Both Zas and Stephon have constant slopes, so their climbing rates are constant over the period measured.

The slope is the climbing rate:

Joe:           Not Constant

Zas:            2.5 feet/sec

Stephon:     4.0 feet/sec

Time to Reach 30 feet

Joe:           Unknown - he's slowing down at an unpredictable rate.

For Zas and Stephen, use their slopes in the expression:

Use m for slope (ft/sec):  y = m(t) where t is time in seconds

Zas:            2.5 feet/sec:  y = 2.5(t)  Time to reach 30 is 30/2.5 or 12 sec.

Stephon:     4.0 feet/sec:  y = 4.0(t)  Time to reach 30 is 30/4.0 or 7.5 sec.