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marta [7]
4 years ago
7

What is the value of x?

Mathematics
1 answer:
lesantik [10]4 years ago
8 0
50.6
\frac{x}{72.6 }  =  \frac{46.2 - 14}{46.2}
x = 32.2 \times 72.6  \div 46.2
x = 50.6


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How do you do both parts?
AnnZ [28]

Step-by-step explanation:

f(x) = 1 / (5 + x)

Divide top and bottom by 5.

f(x) = ⅕ / (1 + ⅕x)

f(x) = ⅕ / (1 − (-⅕x))

Write as a geometric series.

f(x) = ∑ₙ₌₀°° ⅕ (-⅕x)ⁿ

f(x) = ∑ₙ₌₀°° ⅕ (-1)ⁿ (⅕)ⁿ xⁿ

f(x) = ∑ₙ₌₀°° (-1)ⁿ (⅕)ⁿ⁺¹ xⁿ

Use ratio test:

lim(n→∞)│aₙ₊₁ / aₙ│< 1

lim(n→∞)│[(-1)ⁿ⁺¹ (⅕)ⁿ⁺² xⁿ⁺¹] / [(-1)ⁿ (⅕)ⁿ⁺¹ xⁿ]│< 1

lim(n→∞)│-1 (⅕) x│< 1

│x/5│< 1

│x│< 5

-5 < x < 5

If x = -5, ∑ₙ₌₀°° ⅕ (-1)ⁿ (⅕)ⁿ (-5)ⁿ = ∑ₙ₌₀°° ⅕ (1)ⁿ, which diverges.

If x = 5, ∑ₙ₌₀°° ⅕ (-1)ⁿ (⅕)ⁿ (5)ⁿ = ∑ₙ₌₀°° ⅕ (-1)ⁿ, which diverges.

The interval of convergence is therefore (-5, 5).

4 0
3 years ago
I need help with that
wariber [46]

Answer:

Domain: x \leq 8

Step-by-step explanation:

All real numbers minors than or equal to 8

Hope this helps

6 0
3 years ago
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GIVING BRAINEST IF RIGHT!!<br><br> Factor x^4 - 12x squared + 36
forsale [732]

Answer:

(x^2-6)^2

Step-by-step explanation:

7 0
2 years ago
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Heyyyyy please help solve this
Lena [83]
X=13/24 in decimal form it’s x=0.5416
8 0
4 years ago
Can someone please help me with this one??
GrogVix [38]

Answer:

x = 3.6 cm

Step-by-step explanation:

By the theorem of intersecting secants,

"If two secants are drawn from a point outside the circle, product of the lengths of the secant segment and its external segment are equal."

3(3 + y) = 2(2 + 6 + 3)

9 + 3y = 2 × 11

3y = 22 - 9

3y = 13

y = \frac{13}{3} cm = 4.33 cm

Now we will apply theorem of intersecting chords to determine the value of x.

" When two chords intersect each other in a circle, product of their segments are equal"

x\times 5=6\times 3

x=\frac{18}{5}

x=3.6 cm

Therefore, x = 3.6 cm and y = 4.33 cm

8 0
3 years ago
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