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3 years ago

Solve: log2 (x) +log2(x+7) =3 (2 is the base) ...?

1 answer:

7 0

The solution to the problem is as follows:

Then,

log2 x/(x-7)=3 

x/(x-7)=8 

x=8x-56 

-7x=-56 

x=8


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A leap year happens every 4 years.There are 29 days in the month of February in a Leap year.A mathematician was born on 29th of

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Step-by-step explanation:

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3 years ago

What is perpendicular to -96/17

zzz [600]

Answer:

$\frac{17}{96}$

Step-by-step explanation:

Given m = - $\frac{96}{17}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{96}{17} }$ = $\frac{17}{96}$

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3 years ago

A city has cone shaped buildings for storing salt and sand for icy roads. Each building has a radius of 50 feet and a height of

aalyn [17]

Answer:

Radius=50 ft
π=3.14
Height=30 ft
Volume=?

We know that,

$\star \: \: \purple{Volume_{(cone)} =\pi {r}^{2} \frac{h}{3} }$

$\star \: \: \purple{Volume_{(cone)} =3.14 \times {(50)}^{2} \times \: \cancel\frac{30}{3} \: }$

$\star \: \: \purple{Volume_{(cone)} = 3.14 \times (50 \times 50) \times 10}$

$\star \: \: \purple{Volume_{(cone)} =3.14 \times 2500 \times 10 }$

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3 years ago

PLEASE HELP!! solve |2x-2| ≥6.

Anastaziya [24]

<h3>Answer:</h3>

x ≤ -2 OR x ≥ 4

__________________________________________________________

<h3>Step-by-step explanation:</h3>

We are given the inequality:

|2x - 2| ≥ 6

Getting rid of the Modulus:

Since 2x-2 is in modulus:

|2x-2| = -(2x-2) OR 2x-2

(since the modulus of both these values is 2x-2)

Hence, our inequality can be written in 2 different ways:

2x-2 ≥ 6 (if 2x-2 ≥ 1)
-(2x - 2) ≥ 6 (if 2x-2 < 0)

__________________________________________________________

Solving these 2 inequalities:

Solving inequality 1:

2x - 2 ≥ 6

2x ≥ 8 [adding 2 on both sides]

x ≥ 4 [dividing both the sides by 2]

This is the solution of the inequality if: 2x-2 ≥ 0

Solving Inequality 2:

-(2x-2) ≥ 6

It can be rewritten as:

2 - 2x ≥ 6

2 ≥ 6 + 2x [adding 2x on both the sides]

-4 ≥ 2x [Subtracting 6 from both sides]

x ≤ -2 [Dividing both sides by 2]

This is the solution of the given inequality if: 2x-2 < 0

__________________________________________________________

Solution of the given Inequality:

Therefore, the solution of the given inequality |2x-2| ≥ 6 are:

x ≥ 4 (if 2x-2 ≥ 0)

x ≤ -2 (if 2x-2 < 0)

Hence, option C is correct!

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3 years ago

Your neighbor also has a swimming pool of the same shape as yours, but it is 75% the depth. Your pool is 1015 cubic feet. What i

Nastasia [14]

Answer:

761 cubic feet.

Step-by-step explanation:

Your neighbor also has a swimming pool of the same shape as yours, but it is 75% the depth.

Then, if my swimming pool's depth is H, then my neighbor's pool will have depth $\frac{75 \times H}{100} = 0.75 H$ .

So, if my swimming pool has dimensions L ft. by W ft. by H ft., then my neighbor's pool will have dimensions L ft by W ft. by 0.75H ft.

Now, given that the volume of my pool is 1015 cubic ft.

So, LWH = 1015 ......... (1)

Now, my neighbor's pool has volume V = 0.75LWH = 0.75(1015) = 761.25 cubic ft ≈ 761 cubic ft. {Round to the nearest whole number} (Answer)

{From equation (1)}

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3 years ago