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KonstantinChe [14]
3 years ago
5

Please show step by step

Mathematics
1 answer:
spayn [35]3 years ago
3 0

Answer:

15th term of the sequence is 36

Step-by-step explanation:

Given in the question,

a₁ = First term = -20

d = common difference = 4

Expression for the nth term of an arithmetic sequence is,

T_n=a_1+(n-1)d

Here, n = number or term

We have to calculate 15th term of the sequence,

T_{15}=-20+(15-1)(4)

     = -20 + 56

     = 36

Therefore, 15th term of the sequence is 36.

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Jason has three more peppers then he does cats if he has 11 pets know how many cats does he have
Julli [10]
The answer is 14 because you add 11+3
6 0
4 years ago
Please help lol
natka813 [3]

Answer:

the opposite of a positive number is always negative

4 0
3 years ago
The perimeter of an equilateral triangle is 6 inches more than the perimeter of a square, and the side of the triangle is 4 inch
soldier1979 [14.2K]

Answer:

The length of the side of the triangle is 10 inches.

Step-by-step explanation:

Let p = perimeter of the equilateral triangle

Let P = perimeter of the square

Let s = length of side of the triangle

Let S = length of side of the square

"The perimeter of an equilateral triangle is 6 inches more than the perimeter of a square"

p = P + 6      Equation 1

"the side of the triangle is 4 inches longer than the side of the square"

s = S + 4      Equation 2

We have 2 equations and 4 unknowns. We need two more equations. We use the definition of perimeter to get the other two equations.

For an equilateral triangle,

p = 3s      Equation 3

For a square,

P = 4S      Equation 4

Substitute p and P of Equation 1 with equations 3 and 4. Then write equation 2.

3s + 4S = 6

s = S + 4

Now we have a system of 2 equations in 2 unknowns. We can solve for s and S. We can use the substitution method. Solve the second equation for S.

S = 4 - s

Substitute S = 4 - s into equation 3s + 4S = 6.

3s + 4(4 - s) = 6

3s + 16 - 4s = 6

-s = -10

s = 10

Answer: The length of the side of the triangle is 10 inches.

7 0
3 years ago
A plant is already 14 centimeters tall, and it will grow one centimeter every month.
Semenov [28]

Answer:

H=M+14

Step-by-step explanation:

When writing an equation you should always look at the problem and try to figure out what it is asking you to solve for. In this case you would be solving for the plants height (H). That will be one side of our equation.

<u>H=???</u>

Now we must think about how we would solve for the height. The plant grows 1 centimeter each month so we will put M on the other side. But since it is we will add 14 to that.

<u>H=M+14</u>

4 0
3 years ago
This set of points are connected to form a line segment. What is its length? A = (3,5) and B = (3,6) *
Colt1911 [192]

Answer:

d(A,B)=1

Step-by-step explanation:

To find distance between points A(xA,yA) and B(xB,yB), we use formula:

d(A,B)=(xB−xA)2+(yB−yA)2−−−−−−−−−−−−−−−−−−−√

In this example: xA=3 , yA=5 , xB=3 and yB=6 so:

d(A,B)d(A,B)d(A,B)=(3−3)2+(6−5)2−−−−−−−−−−−−−−−√=0+1−−−−√=1

5 0
3 years ago
Read 2 more answers
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