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katovenus [111]

3 years ago

12

2x^-8x+12 -------------- 2x^-36

1 answer:

inn [45]3 years ago

8 0

$\frac{x { }^{2} - 2x - 6x + 12}{ (x - 6)(x + 6)} \\ \\ \frac{x(x - 2) - 6(x - 2)}{(x - 6)(x + 6)} \\ \\ \frac{(x - 2)(x - 6)}{(x - 6)(x + 6)} \\ \\ \frac{x - 2}{x + 6}$

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The figure below shows the front side of a purse in the shape of a trapezoid. Find the area of the trapezoid.

loris [4]

Answer:

110 in²

Step-by-step explanation:

<u>Area of trapezoid formula:</u>

A = (b₁ + b₂)h/2

<u>Substitute the values on the sketch and find the area:</u>

A = (9 + 13)*10/2 = 110 in²

8 0

2 years ago

If you know that the exact volume of a cylinder is 500 π cm3, how can you find the approximate volume, without knowing the heigh

grandymaker [24]

Answer:

The approximate volume is $1,570\ cm^{3}$

Step-by-step explanation:

we know that

The exact volume of the cylinder is

$V=500\pi \ cm^{3}$

so

To find the approximate volume of the cylinder, substitute the term $\pi$ by the approximate value of $3.14$ and then multiply

so

$V=500(3.14)=1,570\ cm^{3}$

6 0

3 years ago

If 1st and 4tg terms of G.p are 500 and 32 respectively it's second term is ?

bixtya [17]

Answer:

$T_{2} = 200$

Step-by-step explanation:

Given

Geometry Progression

$T_1 = 500$

$T_4 = 32$

Required

Calculate the second term

First, we need to write out the formula to calculate the nth term of a GP

$T_n = ar^{n-1}$

For first term: Tn = 500 and n = 1

$500 = ar^{1-1}$

$500 = ar^{0}$

$500 = a$

$a = 500$

For fought term: Tn = 32 and n = 4

$32 = ar^{4-1}$

$32 = ar^3$

Substitute 500 for a

$32 = 500 * r^3$

Make r^3 the subject

$r^3 = \frac{32}{500}$

$r^3 = 0.064$

Take cube roots

$\sqrt[3]{r^3} = \sqrt[3]{0.064}$

$r = \sqrt[3]{0.064}$

$r = 0.4$

Using: $T_n = ar^{n-1}$

$n = 2$ $r = 0.4$ and $a = 500$

$T_{2} = 500 * 0.4^{2-1}$

$T_{2} = 500 * 0.4^1$

$T_{2} = 500 * 0.4$

$T_{2} = 200$

<em>Hence, the second term is 200</em>

5 0

3 years ago

A rectangular sandbox has an area of 55 square feet. find the length and width of the box if the length is one more than twice t

Dmitrij [34]

Answer:

The length is 5

The width is 11

Step-by-step explanation:

11 is more than two times bigger than 5

(っ◔◡◔)っ ♥ Hope It Helps ♥

4 0

2 years ago

A pair of tomato plants sells for $20.65. the cost is $7.32 each. what is the markup rate, based on cost to the nearest tenth of

Serggg [28]

Answer: 64.6%

Explanation:

$\textnormal {Markup Rate = } \cfrac{20.65 - 7.32}{20.65} \times 100 = 64.6\%$

8 0

3 years ago

Read 2 more answers