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The sequence has a common difference, and the common difference of the arithmetic sequence is 10/3

The given parameters are:

T6 = 32

T12 = 52

The nth  term of an arithmetic progression is:

Tn = a + (n - 1) * d

So, we have:

T6 = a + 5d = 32

T12 = a + 11d = 52

Subtract both equations

a - a + 11d - 5d = 52 - 32

Evaluate

6d = 20

Divide both sides by 6

d = 10/3

Hence, the common difference is 10/3

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Answer:  1/6

Step-by-step explanation:    took it rn edg/23

Answer:

Convert to decimals:

1.5 and 0.75

Then, set up a proportion

1.5/0.75=x/1

proportion x/y=x/y

since the 3/4 and 1 are the same topic ( the room) we put them together.

Solve: 1.5/0.75=x

x=2

So 2 gallons

Hope this helps plz hit the crown :D

Answer:

up and down is y and x is side to side

Answer:

5n + 20

Step-by-step explanation:

Answer: 5n+20                        

Explanation: sorry

Answer:

x = -1, y = -1

( -1 , -1 )

Step-by-step explanation:

plug in -9y - 10 for x

5 ( -9y - 10) + 6y = -11

-45y - 50 + 6y = -11

-39y - 50 = -11

-39y = 39

y = -1

then plug in

-9(-1) - 10 = x

9 - 10 = x

x = -1

Answer:

60°

Step-by-step explanation:

measure of angle ACB = 180-135= 45

then the required angle = 180-(45+75) = 60°

I hope that was helpful

Answer:

The slope would be 5, answer B.

You can find this by doing y2 - y1/ x2 - x1.

Hope this helps.

Step-by-step explanation:

Answer:

none

Step-by-step explanation:

Answer:

18 minutes for John to climb 45 steps.

Step-by-step explanation:

30/12 = 45/x

30x = 540

18

Answer:

The answer is D-16

Step-by-step explanation:

Since we have x on one side, and 49 degrees on the other, both angles are the same, so we subtract 1 from 49 to get 48, so that 3x has to equal 48. So we just divide 48 by 3 to get 16, so x = 16.

Answer:

I beleave the answer is C.  

Step-by-step explanation:

that makes sence to me i beleave please mark me as brainlyest

Answer:

Im not sure but i think its 200 times

Step-by-step explanation:

Russia is 2 × 10³ times larger than Puerto Rico.

Exponentiation is a method of writing numbers, especially larger numbers, as the power of some number. A number can be written in the exponent form as aᵇ, where 'a' is called the base and 'b' is called the power or exponent.

Total land area of Russia = 20,000,000 km² = 2 × 10⁷ km²

Total land area of Puerto Rico = 10,000 km² = 10⁴ km²

Let X be the number of times that Russia is larger than Puerto Rico.

Then we can write,

Total land area of Russia = X × Total land area of Puerto Rico

2 × 10⁷ km² = X × 10⁴ km²

X = 2 × 10⁷ km² / 10⁴ km²

X = 2 × 10⁷ × 10⁻⁴

X = 2 × 10³

Hence, about 2 × 10³ times larger is Russia than Puerto Rico.

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Answer:

The second one is correct

Step-by-step explanation:

Answer:

There is 8 calories in every m&m

Step-by-step explanation:

divide the number of calroies 360 by the number of m&m's 45

Answer:

The equation of the exponential function will be:

Step-by-step explanation:

The general exponential function is defined as

y = abˣ

Here,

From the table, it is clear that the y-intercept is (0, 10). Note that the y-intercept can be determined by setting x=0 and solving for y.

here

at x=0, y=10

so a = 10

If we check the y-values, it is clear that every next value of y can be obtained by multiplying the previous y-value by 1/5.

In other words, the common multiplier = b = 1/5

Thus, the equation becomes

[tex]y\:=\:10\cdot \left(\frac{1}{5}\right)^x[/tex]

Thus, the equation of the exponential function will be:

Answer:

1024

Step-by-step explanation:

Answer:

-78848

Step-by-step explanation:

Answer:

The. second one i think because proportion is amount to somthing elese

Answer:

Step-by-step explanation:

no

Answer:

$41.25

Step-by-step explanation:

55 x 0.25 = 13.75

55 - 13.75 = 41.25

Answer:

41.25

Step-by-step explanation:

just do 75% of 55

Answer:

Option (C)

Step-by-step explanation:

Let the relation between amount of money (m) and Time (t) is represented by the equation,

m = ct + b

Where c = Investment per week

b = Ben already had the amount before investment

From the question,

c = $5 per week

b = $100

Therefore, equation will be,

m = 5t + 100

If duration of the investment 't' = 8 weeks

Amount in the account after 8 weeks,

m = 5(8) + 100

m = $140

Option (C) is the correct option.

Answer:

x+4y+k=0

Step-by-step explanation:

because a equation of line perpendicular to line ax+by+c=0 is given by bx-ay+k=0 where 'k' is a constant number

Answer: 80 hertz

Step-by-step explanation:

Answer:

3,406.5 litres/hr

Step-by-step explanation:

The liquid is being poured at a rate of 15 gallons per minute.

1 minute = 1/60 hour

Thus, the rate can be written as:

15 gallons pet 1/60 hour

We are told that one gallon is approximately 3.785 liters.

Thus;

15 gallons = 15 × 3.785 litres = 56.775 litres.

Thus, the rate is;

56.775 litres per 1/60 hour

We want to find in litres/hr.

By proportion, we have it as;

(56.775 ÷ 1/60)/1 = 56.775 × 60 = 3,406.5 litres/hr

Answer:

62

Step-by-step explanation:

2+20+30+10=62

Answer:

Highest value - lowest value. So 12-4

Answer:

Explanation: Since the equation is linear/straight in the form y=mx+c , you can determine the slope/gradient ( m ) and y-intercept ( c ). To graph this equation, you'll need to find 2 points on the line and join them together. We know one of the points is (0, 1) as the y-intercept is 1.

Step-by-step explanation:

I hope I help u!!!

Answer:

8.) x=115 degrees

9.) y=102 degrees

Step-by-step explanation:

8.) A triangles total degrees is 180, so 180-50=130. now the missing angles are congruent, so 130/2=65. and now we're working on the bottom right angle. which is 65. what we need can be added to the angle we just found to add up to 180, so reverse it. 180-65=115. so x=115 degrees.

9.) because y is congruent to the angle across from it, we can just assume y and 78 is equal to 180. 180-78=102. so y=102 degrees. Hope this helps!