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qaws [65]
3 years ago
13

What is 5 to the power of 3 minus 25 divided by 4?

Mathematics
1 answer:
zalisa [80]3 years ago
4 0
125-25 divided by 4 is 118.75
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Expressions in 1 variable if x=144. Problem:1/4x-7
Vikentia [17]
The answer to this question is 29
8 0
2 years ago
Two problems here I need solved! I need every step, so please have that with your answers!!
Free_Kalibri [48]
QUESTION 1

We want to solve,

\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-6x+8}

We factor the denominator of the fraction on the right hand side to get,

\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-4x - 2x+8}.

This implies
\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x(x-4) - 2(x - 4)}.

\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{(x-4)(x - 2)}

We multiply through by LCM of
(x-4)(x - 2)

(x - 2) + x(x-4) = 2

We expand to get,

x - 2 + {x}^{2} - 4x= 2

We group like terms and equate everything to zero,

{x}^{2} + x - 4x - 2 - 2 = 0

We split the middle term,

{x}^{2} + - 3x - 4 = 0

We factor to get,

{x}^{2} + x - 4x- 4 = 0

x(x + 1) - 4(x + 1) = 0

(x + 1)(x - 4) = 0

x + 1 = 0 \: or \: x - 4 = 0

x = - 1 \: or \: x = 4

But
x = 4
is not in the domain of the given equation.

It is an extraneous solution.

\therefore \: x = - 1
is the only solution.

QUESTION 2

\sqrt{x+11} -x=-1

We add x to both sides,

\sqrt{x+11} =x-1

We square both sides,

x + 11 = (x - 1)^{2}

We expand to get,

x + 11 = {x}^{2} - 2x + 1

This implies,

{x}^{2} - 3x - 10 = 0

We solve this quadratic equation by factorization,

{x}^{2} - 5x + 2x - 10 = 0

x(x - 5) + 2(x - 5) = 0

(x + 2)(x - 5) = 0

x + 2 = 0 \: or \: x - 5 = 0

x = - 2 \: or \: x = 5

But
x = - 2
is an extraneous solution

\therefore \: x = 5
7 0
3 years ago
What is the volume of the composite figure? Express the answer in terms of π.
topjm [15]

Answer:

312π mm³

Step-by-step explanation:

Given:

Oblique cone height, h = 14 mm

radius of half sphere = base radius of cone, r = 6 mm

Recall the volume of 1/2 - sphere

= 1/2 x volume of sphere

=  1/2 x (4π/3) r³

= 1/2 x (4π/3) (6)³

= 144π

Also volume of an oblique cone =

=volume of a right cone

= (π/3) r²h

= (π/3) 6²(14)

=168π

Volume of composite figure = 144π + 168π = 312π mm³

8 0
3 years ago
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Please help I don't get it<br> 13 POINTS !!
djyliett [7]
The answer is 114 x
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3 years ago
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4 people do a job in 6 hours. How many hours will it take 8 peopke?
Ivahew [28]

3 Hours


4 People does the job in 6 hours if there are twice as many people it gets done twice as fast

7 0
3 years ago
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