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2 years ago

Quick I need an answer to this Queston:

Mathematics

1 answer:

fiasKO [112]2 years ago

6 0

Step-by-step explanation:

$- \frac{3}{4} x + 2 \frac{1}{4 } = \frac{1}{2} x + 1$

$- \frac{3}{4} x + \frac{9}{4} = \frac{1}{2} x + \frac{2}{2}$

$\frac{ - 3x + 9}{4} = \frac{2x + 4}{4}$

$- 3x + 9 = 2x + 4$

$- 3x - 2x = 4 - 9$

$- 5x = - 5$

$x = \frac{ - 5}{ - 5}$

$x = 1$

The answer is C.

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Simplify the expression 2(x+4)−3(x+2).

jonny [76]

2x + 8 - 3x - 6

-x + 2

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4 years ago

Calculate the surface area of a triangular prism. It has an isosceles triangle face with a base of 4 m and a height of 3 m. The

son4ous [18]

Answer:

48 + 18√13 cm²

Step-by-step explanation:

HC = BC/2 = 4m/2 = 2 m

AC = √AH² + HC² = √9 + 4 = √13

A = 2×A(ABC) + 2×A(ACFD) + A(BCFE)

= 2×AH×BC/2 + 2×AC×CF + BC×CF

= 2×3×4/2 + 2×√13×9 + 4×9

=12 + 18√13 + 36

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3 years ago

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timofeeve [1]

Answer:

Step-by-step explanation:

It is a right angle so it will add up to 90 degrees.

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4 0

3 years ago

Read 2 more answers

Determine whether the sequence converges or diverges. If it converges, give the limit.

vaieri [72.5K]

Answer:

The given series converges and $\lim_{n \to \infty} a_n =0$

Step-by-step explanation:

Given is 108, -18, 3,...

It is an alternate series. An alternate series is convergent if:

1. The series is decreasing.

2. If the last term (n-th term) of series converges to 0.

<u>Since each next term is less than its preceding term, so it is decreasing.</u>

First term, a = 108

Second term = -18

Common ratio, r = -18/108 = -1/6

General term, aₙ = a*rⁿ = 108*(-1/6)ⁿ

<u>When n increases to infinity, the exponent term will decreases to zero, and last term (n-th term) will converge to 0 as well.</u>

Hence, the given series converges.

Now limit will be: $\lim_{n \to \infty} a_n$

$\lim_{n \to \infty} 108*(-1/6)^n \\= 108*(-1/6)^\infty \\= 108*(1/\infty) \\= 108*0 \\= 0$

Hence, $\lim_{n \to \infty} a_n =0$

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3 years ago

One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 12 hours. How long will it take the pipe to

Ainat [17]

Answer: 12 hours

Step-by-step explanation:

Let x = time it takes to fill the pool if the inlet pipe and drain pipe are both open

1/6 = portion of pool filled per hour by the inlet pipe

1/12 = portion of pool emptied per hour by the drain

1/x = portion of pool filled per hour if the inlet pipe and drain are both open

Then, 1/6 - 1/12 = 1/x

Multiply by the LCD, 12x, to obtain

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x = 12 hours

5 0

3 years ago