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Eva8 [605]
3 years ago
8

Find the value of x.

Mathematics
1 answer:
ella [17]3 years ago
7 0

Answer:

x = 6

Step-by-step explanation:

(3x + 20)° are vertical angles with (5x + 8)° meaning that they are the same

3x + 20 = 5x + 8

20 - 8 = 5x - 3x

12 = 2x

2x/2 = 12/2

x = 6

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Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of converge
tresset_1 [31]

Answer:

Radius of the convergence is R = \frac{1}{21}

and,

The Interval of convergence is -\frac{1}{21}

Step-by-step explanation:

Given function : Σ(21x)^k

Now,

Using the ratio test, we have

R = \lim_{n \to \infty} |\frac{21x^{k+1}}{21x^{k}}|

or

R = \lim_{n \to \infty} |\frac{21x^{k}\times21x^{1}}{21x^{k}}|

or

R = \lim_{n \to \infty} |21x^{1}|

now,

for convergence R|x| < 1

Therefore,

\lim_{n \to \infty} |21x^{1}| < 1

or

-\frac{1}{21}

and,

Radius of the convergence is R = \frac{1}{21}

and,

The Interval of convergence is -\frac{1}{21}

8 0
3 years ago
A plastic box has a length 4 cm longer than its width. The area of the rectangular top of the box is 77 square cm. Find the leng
finlep [7]

Answer: the length is 11 cm.

The width is 7 cm.

Step-by-step explanation:

Let L represent the length of the rectangular plastic box.

Let W represent the width of the rectangular plastic box.

The area of the rectangular top of the box is 77 square cm. This means that

LW = 77- - - - - - - ;- - - -1

The plastic box has a length 4 cm longer than its width. This means that

L = W + 4

Substituting L = W + 4 into equation 1, it becomes

(W + 4)W = 77

W² + 4W = 77

W² + 4W - 77 = 0

W² + 11W - 7W - 77 = 0

W(W + 11) - 7(W + 11) = 0

W - 7 = 0 or W + 11 = 0

W = 7 or W = - 11

Since the width cannot be negative, then W = 7cm

L = 77/7 = 11 cm

4 0
3 years ago
What kind of solution(s) do you expect for the linear equation:
Kryger [21]
One solution A. Thats the correct answer
7 0
3 years ago
Mrs. Varner deposited q dollars
Marizza181 [45]

Answer:

this is not a full question

Step-by-step explanation:

6 0
2 years ago
Write a function that models each variation.
Leno4ka [110]

Answer:

z = 2.7x/r²y

Step-by-step explanation:

z = kx/r²y

½ = k × ⅓ ÷ (3² × ⅕)

½ = ⅓k × 5/9

k = 27/10 = 2.7

z = 27x/10r²y

z = 2.7x/r²y

7 0
3 years ago
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