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marishachu [46]
3 years ago
5

a term in an arithmetic sequence is 488. the first term of the sequence is 7 and the common difference is 13. find the term numb

er.
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
5 0

Answer: the term number is 38

Step-by-step explanation:

Let the number of the term be x

The value of the xth term = 488

In an arithmetic sequence, the terms differ by a common difference, d. This means that the difference between two consecutive terms, d is constant.

The formula for the nth term is

Tn = a + (n-1)d

Where

Tn = the nth term of the arithmetic sequence

a = the first term of the arithmetic sequence.

d = common difference.

From the information given,

a = 7

d = 13

We are looking for the xth term.

Tx = 488 = 7 + (x-1)13

488 = 7 + 13x - 13

Collecting like terms on the left hand side and right hand side of the equation,

13x = 488 -7 + 13

13x = 494

x = 38

The value of the 38th term is 488.

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Plz help me solve and show your work.
xz_007 [3.2K]

Hi there!

\large\boxed{h = \frac{15x}{y}}

Recall the volume of a pyramid is:

V = 1/3(bh)

We are given the volume and side length of the base. Find the area of the base:

A = s²

A = (5xy²)² = 25x²y⁴

Plug in the solved for base:

125x³y³ = 1/3(25x²y⁴)h

To isolate for h, begin by multiplying both sides by 3:

375x³y³ = (25x²y⁴)h

Divide both sides by 25x²y⁴. Use the following exponent property:

xᵃ / xᵇ = xᵃ⁻ᵇ

Thus:

375x³y³ / 25x²4⁴ = 15x/y.

The height must be equal to:

h = \frac{15x}{y}

7 0
2 years ago
MY TEACHER IS BEING ANNOYING HELP ME PLS
cluponka [151]

Answer:

8

Step-by-step explanation:

I got 8 in a short version. The full answer is not complete. It is 8.18812697...

But if you shorten it, 8 is the best estimation.

7 0
2 years ago
Write an expression that represents the sum of x and 8
krok68 [10]

Answer:

x+8

Step-by-step explanation:

we know that

The phrase " the sum of x and 8" is equivalent to adds the number x and the number 8 or sum the number x plus the number 8

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6 0
3 years ago
Which of the following represents a valid first step to solving this system of equations using the substitution method?
Phoenix [80]

Answer:

2(2y - 1) - y = 7

Step-by-step explanation:

I guess the 2 equations are

2x - y = 7

x = 2y - 1

substitution message that you use one equation to express one variable by the other, and then you use that in the other equation to get one equation for one variable. then you solve for that, and use that result in the first equation to since for the second variable.

the equations are already defined that way, that the second equation directly defines x as an excision of y.

so, this needs to be used then in the first equation.

and that makes

2(2y - 1) - y = 7

the correct first step.

7 0
2 years ago
47/8 as a mixed number
tresset_1 [31]
47/8 is an improper fraction so we need to divide 47 by 8 to get an mixed number.
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47-40 is 7 that is the left over.
5 7/8 is your mixed number.
6 0
3 years ago
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