(x^(2)+4x-12)/(x^(2)-25)-:(x+6)/(x^(2)-5x)

Answer:

[tex]sum = \frac{a( {r}^{n - 1} )}{r - 1} \\ : but \: l = a( {r}^{n - 1} ) \\ 49152 = 3( {2}^{n - 1} ) \\ 16384 = {2}^{n - 1} \\ {2}^{n} = 32768 \\ {2}^{n} = {2}^{15} \\ n = 15 \\ \therefore \: sum = \frac{3(2 {}^{15 - 1}) }{15 - 1} \\ = \frac{49152}{14} \\ = 3510.9[/tex]

Answer:

The student added 5+25 before, thus not following the order of PEMDAS. The student should've divided 5/ 25 before adding.

Step-by-step explanation:

Answer:

9 is the answer

Step-by-step explanation:

3- 6(2) = 9

Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{5}{13}[/tex]

tanB = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{12}{5}[/tex]

sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex]

Answer:

1048.05 square feet.

Step-by-step explanation:

The area of the deck is 50.4 x 22 = 1108.8 square ft.

The area of 1 cut out is 4.5 x 4.5 = 20.25

There are 3 cut outs so total area of the cut outs is 20.25 x 3 = 60.75 square ft.

The total area of the boards is : 1108.8 - 60.75 = 1048.05 square feet.

Answer:

452.4 mi^2

Step-by-step explanation:

area of circle=πr^2

=22/7*(12)^2

=3.142*144

=452.448

=452.4 mi^2

Answer:

C)    452.4 mi²

Step-by-step explanation:

a = πr²

a = π * 12²

a = π * 144

a = 452.3893421169

a = 452.4

Answer:

Step-by-step explanation:

Polynomials are factored after they are set equal to 0. This i because the factors of the polynomial are also known as the x-intercepts, and x-intercepts exist where y = 0. Therefore, if the factors of the polynomial are

(x + 8)(x + 4) = 0, then by the Zero Product Property,

x + 8 = 0 so x = -8 or

x + 4 = 0 so x = -4. Choice A.

Answer: [tex]5.13\ \text{units}[/tex]

Step-by-step explanation:

Given

In a circle, [tex]\angle PQR=42^{\circ}[/tex]

[tex]PQ=7\ \text{units}[/tex]

Arc length is given by

[tex]\Rightarrow l=\dfrac{\theta}{360^{\circ}}\cdot 2\pi r[/tex]

Insert the values

[tex]\Rightarrow l=\dfrac{42^{\circ}}{360^{\circ}}\cdot 2\times \dfrac{22}{7} \times 7\\\\\Rightarrow l=5.13\ \text{units}[/tex]

The length of the arc PR is [tex]5.13\ \text{units}[/tex]

Step-by-step explanation:

Mass = Density × Volume or m=pV

Density = 6

Volume = 13

6 × 13 = 78

The mass of the iron ball is 78.

===================================================

Work Shown:

d = density = 6 grams per cm^3

m = mass = unknown

v = volume = 13 cm^3

--------

d = m/v

dv = m

m = dv

m = 6*13

m = 78 grams

Answer:

y = (-1/4)x

Step-by-step explanation:

the factor of x is in a line equation the slope of the line.

it residents actually the ratio of y/x.

in our original equation that means that for every change of x by 1 unit y changes by 4 units (actually -4 units) => -4/1 ratio.

a perpendicular line just reverses that ratio.

now, x had to change by 4 units for y to change by 1 unit (actually -1 unit)

=> -1/4

so, our wanted line equation must be in the form of

y = (-1/4)x + c

c is the offset of the line from the (0,0) point in y direction.

so, what is c ?

now we use the information of the point that is stored to be in that line : (4,-1)

=> -1 = (-1/4)×4 + c

=> -1 = -1 + c

=> c = 0

therefore, the desired line is

y = (-1/4)x

Answer:

Angles are rays with a shared endpoint.

Lines extend forever in either direction.

Rays AB and AC extend forever in either direction.

Step-by-step explanation:

Answer:

An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.

Step-by-step explanation:

Answer:

it has a slope of 1/3 and a point on the graph is (2,-3)

Step-by-step explanation:

Answer:

[tex]x = 15 \: \: .....(5(15)- 14) = 61[/tex]

[tex](9x + 16 )= (5x - 14) + 90 \\ 9x - 5x = 90 - 14 - 16 \\ 4x = 60 \\ x = \frac{60}{4} \\ x = 15[/tex]

Answer:

The maximum capacity of a container which can measure the petrol of either tanker in exact number of times is 5 litres

Step-by-step explanation:

Given

[tex]L_1 = 35L[/tex]

[tex]L_2 = 50L[/tex]

To calculate the required maximum capacity, we simply calculate the HCF of both capacities.

We have:

[tex]L_1 = 35L[/tex]

[tex]L_2 = 50L[/tex]

Factorize both:

[tex]L_1 = 5 * 7[/tex]

[tex]L_2 = 2 * 5 * 5[/tex]

The HCF is:

[tex]HCF = 5[/tex]

Answer:

Perpendicular

Step-by-step explanation:

By definition, the base and height of a figure must always intersect at a [tex]90^{\circ}[/tex] angle. Therefore, they are always perpendicular.

Answer:

below

Step-by-step explanation:

that is the procedure above

The balance in the account after 2 years is $619.35.

The compound interest for an amount depends on both Principal and interest gained over periods.

Dlan invested $600 in a savings account at a 1.6% annual interest rate.

He made no deposits or withdrawls on the account for 2 years.

The balance in the account after 2 years is given by;

[tex]\rm Amount =Principal(1+rate)^{time}[/tex]

Substitute all the values in the formula

[tex]\rm Amount =Principal(1+rate)^{time}\\\\\rm Amount =600(1+0.016)^2\\\\ Amount =600(1.016)^2\\\\ Amount = 600 \times 1.03\\\\Amount =619.35[/tex]

Hence, the balance in the account after 2 years is $619.35.

Learn more about compound interest here;

https://brainly.com/question/14295570

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Answer:

80.01>11.69n

Explanation:

100-19.99=80.01

she has 80.01 dollars to spend on shirts. The shirts are 11.69 with n being the number of shirts. we have to take off 19.99 because she bought the pants so the total has to be less then 80.

Answer:

hey,

18+5=23

so AD=23

this is the correct answer :)

please mark as brainliest

The measure of ∠NPO is equivalent to 24°.

Given is that if the angle PON is equal to 132 degrees and the segment NP is bisector of the angle P and N.

Now -

OP = ON

So, this means that ∠OPN = ∠ONP = x° {say}

We can write -

∠OPN + ∠ONP + 132° = 180°

2x = 48°

x = 24°

Therefore, the measure of ∠NPO is equivalent to 24°.

To solve more questions on angles, visit the link below -

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{

Question in English is as follows -

Determine the angle NPO, if the angle PON is equal to 132 degrees and the segment NP is bisector of the angle P and N.

Here's a hint, the correct answer is: 24 degrees.

}

Answer:

O is greater than every

integer

Answer:

18. d

19. c (not sure)

20. c

Answer:

18) d. Synopsis

19) c. Duration

20) c. Pacify

Step-by-step explanation:

18) When you don’t wanna give the full version of a story sum it up; give a summary or synopsis!

19) Uh tbh it just makes the most sense in context of the sentence, read it all together and you’ll see ;)

20) In the sentence it says “calm down” only way to calm someone down is to pacify them or give them what they want… in this context she needs to pacify them. Plus it just makes sense.

Hope this helps, good luck have a good day!

Answer:

one tool you can use would be tape measure

Answer:

7 feet after applying the pythagorean theorem

Step-by-step explanation:

Answer:

It is D and if you don't the y-values increase by 9.

Answer:

B

Step-by-step explanation:

expand the brackets

2x² - x + 10x -5 = 3x + 15

combine like terms

2x² + 9x  - 5 = 3x + 15

2x² + 6x - 20 = 0

divide through by 2

x² + 3x - 10 = 0

factorise

determine factors of -10x² that would add up to 3x

they are 5x - 2x

(x² -2x) (5x - 10)

x(x - 2) +5(x-2)

x + 5 = 0

x = -5

x - 2 = 0

x = 2

Answer:

x = 20.31 inches

Step-by-step explanation:

[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]

[tex]sin(62^{\circ})=\frac{x}{23}[/tex]

[tex]23sin(62^{\circ})=x[/tex]

[tex]x=20.3079464[/tex]

[tex]x\approx20.31[/tex]

Therefore, the missing side is 20.31 inches long.