Find the image of the given point
under the given translation.
P(-9, -2)
T(x, y) = (x + 6, y − 4)
P' = ([?], [])

The first part of the second step to prove the sequence is to prove that Sn is valid for n = k + 1, Option D is correct.

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

The sum of geometric sequence is given as,

[tex]s_n=\dfrac{r^n-1}{r-1}[/tex]

Here, a is the first term of the sequence, n is total terms and r is the common ratio.

The given equation which need to be proved is,

[tex]S_n= 1 + 2 + 4 +. ...+ 2n - 1 = 2n - 1[/tex]

This can be proved by induction method. This can be done by induction method with two steps:

Thus, the first part of the second step to prove the sequence is to prove that Sn is valid for n = k + 1, Option D is correct.

Learn more about the geometric sequence here;

https://brainly.com/question/1509142

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Answer:

Factors of 56: 1, 2, 4, 7, 8, 14, 28 and 56

Prime Factorization of 56: 56 = 23 × 7

Step-by-step explanation:

28/2= 14 42/2= 21 35/7= 5

14/ 2= 7 21/3= 7

28= 2^2 × 7

42= 2 × 3 × 7

35= 7 × 5

LCM= 420

48/2= 24. 72/2= 36. 96/3= 32

24/2= 12. 36/3= 12. 32/2= 16

12/3= 4. 12/3= 4. 16/2= 8

4/2= 2. 4/2= 2. 8/2= 4

4/2= 2

48= 2^4 × 3

72= 2^3 × 3^2

96= 2^5 × 3

LCM= 288

36/3= 12. 44/2= 22

12/3= 4. 22/2= 11

4/2= 2

36= 3^2 × 2^2

44= 2^2 × 11

LCM= 396

Answer:

The answer is in the attachment

Step-by-step explanation:

!!PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!

Answer:

4900

Step-by-step explanation:

You multiply lengthxwidthxheight, all the given dimensions to get (25x14x14) 4900

Answer:

81.1 in

Step-by-step explanation:

To find the surface area of a triangular prism:

Find the base area and the remaining 3 rectangles and add them all together.

1.5*2=3 (base of the shape)

2*13=26

1.5*13=19.6

2.5*13=32.5

3+26+19.6+32.5=81.1

Answer: 28

Step-by-step explanation:

Answer:

4x + 2y = 2

Step-by-step explanation:

8x + 4y = 2 ( divide each term by 2 )

4x + 2y = 1 → (1)

we require a situation where the left side cannot possibly equal the right side.

using 4x + 2y = 2 → (2)

subtract (1) from (2) term by term

(4x - 4x) + (2y - 2y) = 2 - 1 , that is

0 + 0 = 1

0 = 1 ← not possible

thus the system has no solution

Answer:

3215.36 ft^2.

Step-by-step explanation:

Area = 3.14 * r^2

= 3.14 * 32^2

= 3215.36 ft^2.

answer:

the probability of choosing a gray button is 3/5

after putting it back the probability remains the same, so 3/5 for both answers

Answer:

[tex]\sf \dfrac{3}{10}[/tex] = 0.3 - 30%

Step-by-step explanation:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Given:

[tex]\sf P(gray) = \dfrac35[/tex]

If the button is not replaced, there are now:

[tex]\sf P(gray) = \dfrac24=\dfrac12[/tex]

Therefore,

[tex]\sf P(gray)\:AND\:P(gray)= \dfrac35 \times \dfrac12=\dfrac{3}{10}[/tex]

Answer:

The answer is X equals 12

Step-by-step explanation:

I hope you get it right!

Answer:

x=29.3 degrees

Step-by-step explanation:

Vertical angles are congruent therefore the angle with the dot in it is 60.7 degrees and the combination of the dot and w is 90 degrees. 90-60.7=29.3

Answer:

400

Step-by-step explanation:

8% of 5000 is 400. Math:

5000 x 0.08 = 400

Answer:

1/2x + 1/3

Step-by-step explanation:

1/2x + 1/3

Answer:

Explanation: This is the answer

Answer:

[tex]h = 9\ cm[/tex]

Step-by-step explanation:

Step 1:  Determine what h is

[tex]Area = \frac{h * b}{2}[/tex]

[tex]45\ cm^2 = \frac{h * 10\ cm}{2}[/tex]

[tex]45\ cm^2 *2 =\frac{h * 10\ cm}{2}*2[/tex]

[tex]90\ cm^2 = h * 10\ cm[/tex]

[tex]\frac{90\ cm^2}{10\ cm}= \frac{h*10\ cm}{10\ cm}[/tex]

[tex]9\ cm = h[/tex]

Answer: [tex]h = 9\ cm[/tex]

[tex]~~-5=a-3\\\\\implies a =-5+3\\\\\implies a = -2[/tex]

Answer:

Let's find the number of arrangements with mother and father together, say N & then subtract it from total number of arrangements.

Total arrangements = 6! = 720.

Now, as mother & father are together, let's treat mother and father as a single person. Now, there're 5 persons.

Number of arrangements in this way = 5! = 120.

But mother and father can change their places in 2! = 2 ways.

N = 120 × 2 = 240.

Ans. = 720-240 = 480.

Step-by-step explanation:

Answer:

90.93%

Step-by-step explanation:

It is clear that the table is a linear function. That is, every hour, the amount of corn increases by the same amount. You can find the slope of the linear function by using the slope formula:

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

In your case, the number comes out to be 825. So the number of corn will be 825*10 = 8250 cu ft.

Now, we know that the volume is area times height. So if the area is pi * r * r, then the volume of the shape is 2888*pi.

Therefore, the answer is 8250/2888*pi or 90.93%.

Step-by-step explanation: 130

[tex]g(n) = 3n + 1[/tex]

[tex]h(n) = 4n + 3[/tex]

[tex](goh) (n)= g(h(n))[/tex]

[tex] = g(4n + 3) = 3(4n + 3) + 1[/tex]

[tex] = 12n + 9 + 1 = 12n + 10[/tex]

Therfore

[tex](gof)(n) = 12n + 10[/tex]

Now

[tex](gof)(10) = 12(10) + 10 = 120 + 10 = 130[/tex]

[tex](gof)(10) = 130[/tex]

I hope it helped you

Step-by-step explanation:

g(n) × h(n)

=(3n+1)(4n+3)

= 12n² +9n +4n +3

= 12n² +13n + 3

then sub 10 in place of n

12n² +13n + 3

= 12(10)²+13(10)+3

=1200+130+3

=1333

Answer:

8

Step-by-step explanation:

5 - (-3) is like adding 5 + 3 which is 8

Please give me brainlist

Answer:

8

Step-by-step explanation:

Answer:

c = 9

Step-by-step explanation:

Given equation:

[tex]\sf 6(c-1)=48[/tex]

Divide both sides by 6:

[tex]\implies \sf \dfrac{6(c-1)}{6}=\dfrac{48}{6}[/tex]

[tex]\implies \sf c-1=8[/tex]

Add 1 to both sides:

[tex]\implies \sf c-1+1=8+1[/tex]

[tex]\implies \sf c=9[/tex]

Answer:

9

Step-by-step explanation:

There are now 48 total cookies shared by the 6 plates after he takes 1 cookie (6 cookies)

48+6 is 54/6 is 9

Applying the law of cosine, b² = a² + c² - 2ac(cos B), the length of AC of the marsh, to one decimal place, is: 522.1 meters

The Law of Cosine is given as, b² = a² + c² - 2ac(cos B).

From the diagram given, we have the following:

Plug in the values into the law of cosine formula:

b² = 220² + 420² - 2(220)(420)(cos 105)

b² = 272,629.8

b = √272,629.8

b = 522.1 meters. (Length of AC of the marsh)

Learn more about the law of cosine on:

https://brainly.com/question/7872492

Divide the restocking fee by the price of the item:

12/200 = 0.06

9/150 = 0.06

Multiply by 100 to get the percent:

0.06 x 100 = 6%

Answer: 6%

Answer:

0.067

Step-by-step explanation:

We just move 0.67's decimal point to the right by one since we are dividing by 10.

0.67 / 10 = 0.067

Give (✿◕‿◕✿)

Y = 2.9

Or

X= 2.9, y= - 0.9

Hope this helps!

Answer:

A. 45°

Step-by-step explanation:

When we are given two measurements of interior angles we add both of those angles together.

Also know that a triangle equals 180 degrees

So when we write out this expression     [tex]80+55+x=180[/tex]

[tex]135+x=180\\-135=-135\\x=45[/tex]

Hope this helps

Answer:   3 2/9

Step-by-step explanation:

It would be the numbers exact form. Not totally sure but it would be my best guess.