prove that 7^N+5 is divisible by 6

Answers

Answer 1

Answer:

12/6=2

Step-by-step explanation:

If you set n=∞ it approaches zero

Therefore [tex]7^0+5=12[/tex]


Related Questions

Rectangle ABCD with vertices A(-8,6), B(-2,8), C(-1,5), and D(-7,3) is reflected over the y-axis. What are the new points?

Answers

The answer is A(-8,6)

How do i do this? With steps pleaseeeeeeeeeee thank youuu

Answers

Answer:

110°

Step-by-step explanation:

Since angle B is 30° and the ratio of a to b is 2:1, multiply 30 by 2 to get the measure of angle a = 60°.

Since angles a is 60° And the ratio of a to c is 3:1, divide 60 by 3 to get the measure of angle c = 20°.

add them up:

60 + 30 + 20 = 110°

If there are 23 students in your class, and your teacher is pulling random names from a hat, what is the probability that your name will be pulled on the third pull?
3/21
3/23
1/23
1/21

Answers

If the teacher isn't putting the names back in the hat then it would be 1/21 if she is then 1/23

Jane used a Venn diagram to sort shapes. Select a plane shape that belongs inside the overlap region of the diagram.

Answers

Answer:

c

Step-by-step explanation:

Examine the balanced equation for the reaction between lead(I) nitrate and sodium chloride.
Pb(NO3)2 + 2NaCl → 2NaNO3 + PbCl2
If 10.0 g of sodium chloride react with excess lead(II) nitrate, what mass of lead(II) chloride will be produced?
0 20.8 g
O 23.8 g
O 47.68
O 95.28

Answers

I think the answer is B

Which is a graph of y= -2x + 3?

Answers

Answer:

B (or top right)

Step-by-step explanation:

The equation is written using the y = mx + b format.

m = slope

b = y-intercept

Top right because 3 is the y intercept and it goes down by 2 for every 1 x

Find the volume of the given prism. Round to the nearest tenth if necessary.
1 m
34
8.5 m
17 m
Question 2 (4 points)

Answers

Given:

The base of the prism is a right triangle with legs 1 m and 2 m.

The height of the prism is 17 m.

To find:

The volume of the given prism.

Solution:

The area of a triangle is:

[tex]Area=\dfrac{1}{2}\times base\times height[/tex]

So, the area of base of the prism is:

[tex]Area=\dfrac{1}{2}\times 1\times 2[/tex]

[tex]Area=1[/tex]

Now, the volume of the prism is:

[tex]V=Bh[/tex]

Where, B is the base area and h is the height of the prism.

Substituting [tex]B=1,h=17[/tex], we get

[tex]V=(1)(17)[/tex]

[tex]V=17[/tex]

The volume of the prism is 17 cubic m. Therefore, the correct option is (d).

can someone please help me solve this, ASAP!

Answers

the value of x is 46





30,46

What is the area of a
circle that has a radius of 4
inches? (Use 3.14 for pi.)
HELP ASAP

Answers

Answer:A≈50.27in²

Step-by-step explanation:

hii can you help me please

Answers

Step-by-step explanation:

a. false

b.true

c.false

d. false

Answer:

a. False

b. True

c. True

d. False

Step-by-step explanation:

A

The formula for the area of a trapezoid treats the distance between the parallel sides as the height. Doing this lists the height as 4m.

B

You can separate a trapezoid into a rectangle with a width of 3 and a height of 4, as well as a right triangle with a width of 2 and a height of 4.

C

This expression is the written out portion of separating the trapezoid into a triangle and rectangle.

(3 * 4) represents the rectangle and (1/2 * 2 * 4) represents the triangle.

D

The area as found by the accurate expression in part C is 16.

Which expression is equivalent to 173-10+3(25+1)?
238-9
238-7
118-7
118-9

Answers

Answer:

Step-by-step explanation:

173-10+3(25+1)=241

238-9=229

238-7=231

118-7=111

118-9=109

Solve the system with substitution
72 +10y = 36
y = 2x + 9

Answers

Answer:

x= -63 y= -117

Step-by-step explanation:

72+10(2x+9)=36

72+20x+90=36

162+20x=36

20x=-126

×= -63

y= 2(-63)+9

y=-126+9

y= -117

The spinner shown is divided into congruent sections that each contain a number. If the spinner is spun one time, what is the probability of NOT landing on a 1?

Answers

Answer:  2/3

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

Explanation:

There are 12 sections total. It might help to picture the circle split into quarters, and then each quarter is split into three pieces, giving 4*3 = 12 slices total. Or it might help to think of numbers on a round clock face.

Of these 12 sections, we have the value "1" show up exactly 4 times. That means the other values show up 12-4 = 8 times. The probability of not landing on "1" is therefore 8/12 = 2/3.

Side note: Divide both parts of 8/12 by the GCF 4 to reduce the fraction.

Hey can you help me fast!!

Answers

The answer is12

(PS. I used to HATE i-ready)

Find the value of x.

Answers

Answer:

x = 11

Step-by-step explanation:

20 points! It's urgent! Pls help me its due in 5 minutes!!!

Answers

Answer:

A, f = 4

Step-by-step explanation:

f + 8 ≤ 12

-8       -8

f ≤ 4

Answer:

The answer is 4

Step-by-step explanation:

this is because the line under the greater than symbol can also mean equal since it has a line under it 8 + 4 = 12 = 12

Please help me with this. I will appreciate all the help ^^

Answers

Answer:

80 minutes (first one)

Step-by-step explanation:

1/6 of an hour=10 min

3 ppl can go on the ride at the same time

so 24/3=8

leaving 8 more turns before emma's turn

8x10=10

Can someone help me out real quick?

Answers

Answer:

It would be:

[tex]2.11 \times {10}^{8} [/tex]

Step-by-step explanation:

You just subtract the regular numbers so 4.31-2.2 and keep the same scientific notation.

Rhondas test score was 75%. if there were 48 items on the test ,how many did she awnser correctly

Answers

Answer:

36 problems correctly

Step-by-step explanation:

48*.75

Answer:

36

Step-by-step explanation:

should i buy airpods pro or apple watch series 3 give three pros and cons each PLEASE I NEED HELP

Answers

Answer: JUST DO IT!

Step-by-step explanation:

Compare |−5| and |3|.

Answers

Answer:

|-5| > |3|

because the absolute value of -5 is five which is greater than 3

Please!!!!!!!
Can someone please help me with this question.
The answer choices are in the picture right along with the question.
I will mark the first person brainliest if they answer with an actual answer not a link.

Answers

Answer:

B.

Step-by-step explanation:

Fern knitted 20 scarves over 5 nights. After 8 nights of knitting, how many scarves would fern have made in total.

Answers

Answer:

Fern will knit 32 scarves in 8 nights.

Step-by-step explanation:

Number of scarves knitted by Fern in 5 night = 20

Relation between number of scarves knitted and number of nights is proportional,

Therefore, Number of scarves knitted (s) ∝ Number of nights spent to knit the scarves (n)

s ∝ n

s = kn

k = [tex]\frac{s}{n}[/tex]

Here, k = proportionality constant

For s = 20 and n = 5,

k = [tex]\frac{20}{5}[/tex]

k = 4 scarves per night

For 8 nights, by using the same proportionality rule,

k = [tex]\frac{s}{8}[/tex]

4 = [tex]\frac{s}{8}[/tex]

s = 32 scarves

Therefore, Fern will knit 32 scarves in 8 nights.

The line 3x-8y=k cuts the x-axis and y- axis at the point A and B respectively. If the area of ∆AOB =12sq.units, find the value of k.​

Answers

Given:

The equation is:

[tex]3x-8y=k[/tex]

It cuts the x-axis and y- axis at the point A and B respectively.

The area of ∆AOB =12 sq.units.

To find:

The value of k.

Solution:

We have,

[tex]3x-8y=k[/tex]

Substituting [tex]x=0[/tex] to find the y-intercept.

[tex]3(0)-8y=k[/tex]

[tex]0-8y=k[/tex]

[tex]y=\dfrac{k}{-8}[/tex]

[tex]y=-\dfrac{k}{8}[/tex]

Substituting [tex]y=0[/tex] to find the x-intercept.

[tex]3x-8(0)=k[/tex]

[tex]3x-0=k[/tex]

[tex]x=\dfrac{k}{3}[/tex]

Area of a triangle is:

[tex]A=\dfrac{1}{2}\times base\times height[/tex]

The height of the ∆AOB is [tex]OB=\dfrac{k}{8}[/tex] because distance cannot be negative and the base of the ∆AOB is [tex]OA=\dfrac{k}{3}[/tex]. So, the area of the ∆AOB is:

[tex]A=\dfrac{1}{2}\times \dfrac{k}{8}\times \dfrac{k}{3}[/tex]

[tex]A=\dfrac{k^2}{48}[/tex]

It is given that, the area of ∆AOB = 12 sq.units.

[tex]\dfrac{k^2}{48}=12[/tex]

[tex]k^2=576[/tex]

[tex]k=\pm \sqrt{576}[/tex]

[tex]k=\pm 24[/tex]

Therefore, the value of k is either 24 or -24.

Find the minimum value of the function f(x) = 0.8x2 + 11.2x + 42 to the
nearest hundredth.

Answers

Answer:

The minimum value is 2.8.  The vertex is (-7, 2.8).

Step-by-step explanation:

Through the x^2 term we identify this as a quadratic function whose graph opens up.  The minimum value of this function occurs at the vertex (h, k).  The x-coordinate of the vertex is

        -b                                                    11.2

x = ---------             which here is x = - ------------ = -7

         2a                                                 2(0.8)

We need to calculate the y value of this function at x = -7.  This y-value will be the desired minimum value of the function.

Substituting -7 for x in the function f(x) = 0.8x^2 + 11.2x + 42 yields

f(-7) = 0.8(-7)^2 + 11.2(-7) + 42 = 2.8

The minimum value is 2.8.  The vertex is (-7, 2.8).

Can someone please do this? I need it bad

Answers

Answer:

this pdf is not downloading .

no idea what to do now .

can you give question on comments

15° 13 8) X 35° Find the measure of the indicated 9)
ignore the stuff above​

Answers

Answer:

The missing angle to this triangle is 55 degrees, x is 14.65, and the other missing length is 8.4.

Step-by-step explanation:

In a triangle, all of the angles sum up to 180 degrees. We are given it is a right triangle with another given angle of 35 degrees. 180 degrees - 90 degrees - 35 degress is 55 degrees. Now, we can use law of sines to find x. x / sin 90 degrees = 12 / sin 55 degrees. sin 90 degrees can be simplified to 1. x = 12 / sin 55 degrees. x = 14.65. By using the pythagorean theorem, we can find the last missing side, which is 8.4.

How would you find the last remaining two angles of a right triangle? Prove your understanding by finding the measures of the acute angles of an 8-15-17 right triangle.

Answers

Answer:

The other 2 angles are 28 and 62 degrees.

Step-by-step explanation:

The sum of all the angles of a triangle is always equal to 180 degrees.

If two angles are known the third can be found out.

A right angled triangle always has an angle equal to 90 degrees.

If the base is 15 and the perpendicular is 8 and the hypotenuse is 17

then

Tan theta= Perpendicular/base

Tan theta= 8/15

theta = tan⁻¹ 8/15

theta = 28.072

The third angle is 28 degrees which is less than 90 degrees and is acute

This can also be obtained by

cos theta= base / hypotenuse

cos theta= 15/17

theta= cos⁻¹  15/17

theta= 28.072

Now summing up

90+ 28 + x= 180

x= 180-118

x= 62

The third angle is 62 degrees which is also less than 90 degrees.

The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet. Which
measurement is dosest to the length of this rectangle in feet?


A. 9ft
B. 17ft
C. 12.4ft
D. 13.6ft

Answers

Answer:

C) 12.4 ft

Step-by-step explanation:

using the Pythagorean theorem:

Length² = 13² - 4² = 156 - 16 = 143

length = √143 = 12.36 ft

In how many ways can 3 red balls , 4 blue balls and
5 white balls be selected from 5 red balls, 5 blue
balls and 7 white balls ?​

Answers

Answer:

1050 ways

Step-by-step explanation:

Total Number of red balls = 5

Total Number of blue balls = 5

Total Number of white balls = 7

Number of red balls selected = 3

Number of blue balls selected = 4

Number of red balls selected = 5

Using the multiplication and combination relation :

nCr * nCr * nCr

Red balls = 5C3

Blue balls = 5C4

White balls = 7C5

Using calculator:

5C3 * 5C4 * 7C5 = 10 * 5 * 21

(10 * 5 * 21) = 1050 ways

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