show that 21^n, n €N can never ends with 0,2,4,6 and 8​

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]21 ^n = (3 \times 7)^n[/tex]

21 has no 2 in it's prime factorization. So it can never end in 0, 2 , 4 , 6 , 8.

 OR

Odd number raise to any number is always odd, Which does not include 2, 4, 6 , 8.

So [tex]21^n[/tex] does not end with 0, 2, 4 , 6 , 8.


Related Questions

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11 feet cubed.

Which equation gives the volume of the sphere?
V = four-thirds (11) pi
V = two-thirds (11) pi
V = four-thirds (11)
V = two-thirds (11)

Answers

Answer:

A

Step-by-step explanation:

State if triangles HAG and CAB are similar and why.

Answers

i think the answer is they are similar by SSS, but they are definitely similar

A remote-control airplane is descending at a rate of
23.6 meters per second. What will be its change in
height after 3 1/2 seconds? Round your answer to the
nearest meter.

Answers

Answer:

83 m

Step-by-step explanation:

23.6 x 3.5 = 82.6 ≈ 83 m

Simplify
7p2 x 3p
14p4

Answers

Answer:

294(p)^7

Step-by-step explanation:

7(p)^2 x 3p x 14(p)^4

=> 7 x 3 x 14 x (p)^2 x (p) x (p)^4

=> 21 x 14 x (p)^(2+1+4)

=> 294(p)^7

570
1. Volume of a pyramid: 192 ftº: Volume of a rectangular prism:
2. Volume of a pyramid:
Volume of a rectangular prism: 729m
3. Volume of a cylinder: 285 cm: Volume of a cone:
4. Volume of a sphere:
Volume of a cylinder: 600cm
5. Volume of a cone: 50 m: Volume of a cylinder:

Answers

Answer:

576 FT^3

243 m^3

95 cm^3

400 cm^3

150 m^3

Step-by-step explanation:

Volume of a pyramid = 1/3 x ( length base x height)

Volume of a prism= ( length base x height)

1. prism = 192 x 3 = 576 FT^3

2. prism = 729 / 3 = 243 ft^3

volume of a cylinder = nr^2h

Volume of a cone =  1/3(nr^2h)

3. cone = 285/3 = 95

5. cylinder = 50 x 3 = 150

4. sphere = 600 / 1.5 = 400


Convert 1/5 to a percentage.
And
Convert 12/100 to a decimal.
Please help.

Answers

Answer:

Step-by-step explanation:

to convert the fraction to percentage just multilpy the fraction will 100%

1/5

1/5*100%

100%/5

20%

12/100

3/25

0.12

or in division decimal point goes to the right side

12 can also be written as 12.00 so move the decimal point 2 unit right which becomes .12 .In this case we should move 2 units right because there it is divides by hundred and there are 2 zeros in number hundred.Remember how many units to move right depends upon the number it is divided with.

1/5 is equal to 20% when expressed as a percentage and 12/100 is equal to 0.12 when expressed as a decimal.

To convert 1/5 to a percentage, we can multiply it by 100.

(1/5) * 100 = 20%

Therefore, 1/5 is equal to 20% when expressed as a percentage.

To convert 12/100 to a decimal, we divide the numerator (12) by the denominator (100).

12 ÷ 100 = 0.12

Therefore, 12/100 is equal to 0.12 when expressed as a decimal.

When converting a fraction to a percentage, we multiply the fraction by 100. In this case, 1/5 is equivalent to 0.2 as a decimal. Multiplying it by 100 gives us 20%, expressing the fraction as a percentage.

When converting a fraction to a decimal, we divide the numerator by the denominator. In the case of 12/100, dividing 12 by 100 gives us the decimal representation of 0.12.

To learn more about conversions click on,

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PLEASE HELP!! Look at photo

Answers

Answer:

Step-by-step explanation:

The ratio would be 36:4. The bigger number is on either side but when it concludes "for" means it's a ratio.

Let’s revisit the situation of making a medical supply drop from a helicopter to survivors of a natural disaster. The crate can withstand an impact of 165 ft/sec. If the helicopter has to make the drop at 450ft, then the height of the crate as a function of time is: h(t) = 450 -16t2. The crate will land 5.3 sec after the drop is initiated. Will the crate and medical supplies survive? Show/explain how you know.

You need to compare the instantaneous rates of change.

Answers

Answer:

When dropped from 450 feet, the crate and medical supplies will not survive the impact

Step-by-step explanation:

The impact that the crate can withstand when dropped = 165 ft,/sec

The function for the height of the crate at 450 ft. = 450 - 16·t²

The time the crate will land after drop = 5.3 sec

Therefore, we have;

Velocity, V(t) = d(h)/dt

∴ v(t) = d(450 - 16·t²)/dt = -32·t

Given that the time the cate lands after drop, t = 5.3 seconds, we have;

The velocity at 5.3 seconds after drop, v(5.3) = -32 × 5.3 = -169.6

The velocity at 5.3 seconds after drop, v(5.3) = 169.6 ft./sec. (downwards)

Therefore, given that the velocity of the crate at 5.3 seconds (169.6 ft./sec.) is higher than the velocity at which the crate can withstand an impact (165 ft./sec.) the crate and medical supplies will not survive.

Pls someone help me with this im struggling!

Answers

Answer:

£460.80

Step-by-step explanation:

Do 12% x 4 years= 48%

Then 48% x 960= £460.80

What is the slope of the line passing through the points (-5, -4) and (-1, 6)?

Answers

Step-by-step explanation:

using the formula (y2-y1)/(x2-x1)we plug the numbers In the slop formula (6--4)/(-1--5)= 10/4

Answer:

Step-by-step explanation:

(x1,y1)= (-5,-4)

(x2,y2)=(-1,6)

Distance=√(x2-x1)²+(y2-y1)²

=(-1-5)²+(6-4)²

=(-6)²+(10)²

=36+100

=136 answer,,

therefore, the slope of the line is 136unit

If a randomly thrown dart hits the board below, what is the probability it will hit the shaded region?​

Answers

4 shaded areas are shaded in, 8 areas in total. 4/8, that’s 50% of the dart hitting the shaded areas. I say it’s likely

Please help me with this question??m

Answers

Answer:

75

Step-by-step explanation:

f(1) = 7

f(n) = 3f(n-1) + 3

So what you are trying to do here is find the recursive value (that's what it is called) for f(n). Computers love this sort of thing, but we humans have to do it slowly and carefully.

So let's try f(2)

That means that f(2) = 3*f(n-1) + 3

but if f(2) is used it means that you have to know f(2-1) which is just f(1) and we know that.

so f(2) = 3*f(1)+3

f(2) = 3*7 + 3

f(2) = 21 + 3

f(2) = 24

Now do it again. We now know F(2), so we should be able to find f(3)

f(3) = 3*f(3 - 1) + 3  

f(3) = 3*f(2) + 3      We know that f(2) = 24

f(3) = 3* 24 + 3

f(3) = 72 + 3

f(3) = 75

Find the missing side lengths. Leave your answers as radicals in simplest form. *

Answers

That's the isosceles right triangle, one of the two cliche triangles students are expected to learn.  The sides of the 45°/45°/90° triangle are in the ratio 1:1:√2.

So v= 3√2  (the two legs are equal) and hypotenuse u = √2 × v = 6.

Answer: C

What is the length of line
segment AB?

Answers

(2) step by step below

Consider the equation and its solution.
— 15(x-O) = 25
— 15х+ 30 = 25
— 15х = -5
What number should be in the empty box?
-30
-2
Оооо
30

Answers

The correct answer to your question is -2

The amounts that two plumbers charge for their services are described.

The first plumber charges a fixed fee of $40 for house calls and $15 per hour of work.
The second plumber charges a fixed fee of $30 for house calls and $19 per hour of work.
For what number of hours work do the first plumber and the second plumber charge the same total amount?

Answers

Answer:

See below.

Step-by-step explanation:

40 + 15x = 30 + 19x

15x - 19x = 30 - 40

-4x = -10

x = 2.5

Two and a half hours.

The first plumber and the second plumber charge the same total amount for 2.5 hours of work.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The number of hours worked by both plumbers is "h". Then the total amount charged by the first plumber is:

Total cost for the first plumber = 40 + 15h

And, the total amount charged by the second plumber is:

Total cost for the second plumber = 30 + 19h

To find the number of hours for which both plumbers charge the same total amount, we need to solve the equation:

40 + 15h = 30 + 19h

4h = 10

h = 2.5

Therefore, the first plumber and the second plumber charge the same total amount for 2.5 hours of work.

To learn more on Equation:

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37. Find the area of each square below. ​

Answers

Answer:

Step-by-step explanation:

a=4 square units

b=9 square units

sqrt (4+9)

(sqrt(13))^2

c= 13 square units


HELP PLEASE I WILL MARK BRAINLIEST

Answers

Answer:

i beleive its option number 1

Answer:

first graph

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Then g(x) = | x | - 4 is the graph of f(x) shifted down by 4 units

This is represented by the first graph on the left

What’s the answer. Please help.

Answers

3x - 2 = 18

I think so because I usually take that as my equation

Answer:

The answer would be the third one, 3(x -2)=18

Please help me!
(I have already asked the same question twice)

Answers

Answer:

[tex]A=2x^2+8x+6\ yards^2[/tex]

Step-by-step explanation:

Step 1, finding the dimensions:

The width of Stacy's room is x, so the length must be 2x. (Her length of the room is two times the width.)

Her sister's room is 2 yards longer and 3 yards wider than Stacy's room. We have:

Length: [tex]2x+2[/tex]

Width: [tex]x+3[/tex]

Great! Let's find the area now.

Step 2, finding the area:

The area of a rectangle is [tex]A=l*w[/tex], where l represents the length of the rectangle, and w represents the width of the rectangle. We already know both, so we can plug it in the equation:

[tex]A=(2x+2)(x+3)[/tex]

We can expand and simplify:

[tex]A=2x^2+2x+6x+6\\A=2x^2+8x+6\ yards^2[/tex]

I hope this helps! Let me know if you have any questions :)

Given m || n, find the value of x and y

Answers

Step-by-step explanation:

5x-6+7x+18=180

12x=180+6-18

12x=168

168÷12=14

X=14

for y

3y+11=7x+18(7×14+18)

3y+11=116

3y=116-11

3y=105

y= 35

Please help me please I will really appreciate

Answers

Answer:

Step-by-step explanation:

If we draw this triangle with Q as the vertex angle (the one at the top of the triangle) then the 2 sides are congruent and this is an iosceles triangle. Because this is an isosceles triangle, then the 2 base angles, angle R and angle S are congruent. If Q measures 114 degrees, then angles R and S together have to add up to the difference between 180 and 114:

180 - 114 = 66

Divide that in half so R = S = 33 degrees each

What is the percent decrease from 345 to 300 rounded to the nearest percent

Answers

Answer:

-13.04.

Step-by-step explanation:

40% of Ms smarts class did their homework last night if there are 30 students in the class how many did there homework last night?

Answers

12 students

Step-by-step explanation:

40 % ×30 students = 1200 ÷ 100% =12students

Find mZY.
42-/3
N
Y
O
84
Х
mZY =
Submit
Please help

Answers

Answer:

[tex]m\angle Y=30^{\circ}[/tex]

Step-by-step explanation:

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

[tex]\cos Y=\frac{42\sqrt{3}}{84},\\Y=\arccos(\frac{42\sqrt{3}}{84})=\boxed{30^{\circ}}[/tex]

A number is double of another number. If the difference of the numbers is twenty find the numbers​

Answers

Answer:

20 and 40

Step-by-step explanation:

20 doubled is 40

The difference is 20

Hope this helps! :)

Answer:

20,20

(20 x 2) - 20 = 20

Step-by-step explanation:

2x=y

x-y=20

(20 x 2) - 20 = 20

Please Help I've tried like 30 times and I still get it wrong

Answers

Answer:

604.4 cm²

Step-by-step explanation:

Surface area of a cone = πr(r + √h² + r²)

π = 3.14

r = diameter/2 = 13.4 cm/2 = 6.7 cm

h = 21 cm

Surface area of a cone = πr(r + √h² + r²)

= 3.14 * 6.7(6.7 + √21² + 6.7²)

= 21.038(6.7 + √441 + 44.89)

= 21.038(6.7 + √485.89)

= 21.038(6.7 + 22.04)

= 21.028(28.74)

= 604.3 cm²

Surface area of a cone = 604.4 cm²

yes need help again im on my math exam review thing i.dk wut it tis also here are some extra points im feelin nice today btw dont jus answer for the points or put a site or ill report.


ᴍɪʟʟʏ~

Answers

Answer:

(-5) + 8 + (-5) = -2

Step-by-step explanation:

The first point is 5 points to the left of 0, or -5

Next, it goes right 8 units (+8) and lands on 3

THen it goes back 5 units (-5) and lands on -2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Evaluate expression- Which of these answer choices are correct answer to the question

Answers

Answer:

i=10^5

eq is 2^n*i

hence 2^3*10^5

8*100000

=800.000 bacteria

pls mark as brainliest

Find the domain of the graphed function. A.x>=0 B. x is all real numbers. C.-9<=x<=5 D.0<=x<=10

Answers

The domain of the function represented by the graph is x ≥ 0

How to determine the domain of the graph?

The function is represented by the graph of the function

From the given graph, we have the following observations

The graph is a trigonometric graphThe x values of the graph starts from 0 and increases towards the positive axis

This means that the function has a domain of all set of real values greater than or equal to 0

This is represented as

x ≥ 0

So, the domain is x ≥ 0

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