If a scuba diver is 20 feet under the surface of the water and ascends 8 feet, what is the scuba diver's new location?

Greetings from Brasil...

First we will solve the power:

(- 2)⁴ = (- 2)·(- 2)·(- 2)·(- 2) = + 16

rewriting our expression

15 + 48 ÷ (–2)⁴

15 + 48 ÷ 16

(the division / multiplication has priority over the addition / subtraction, so let's do the division first  48 ÷ 16 = 3)

15 + 3

Answer:

d. 0

Step-by-step explanation:

Given that:

A rational number is multiplied by a irrational number.

And the result is a rational number.

To find:

Such rational number wil be:

a. [tex]\frac{1}2[/tex]

b. 1

c. [tex]\frac{1}{10 }[/tex]

d. 0

Solution:

Let us consider the given options one by one.

Let the irrational number be = [tex]\pi[/tex]

Checking option a.

Multiply [tex]\pi[/tex] and [tex]\frac{1}2[/tex].

Result is: [tex]\frac{\pi}2[/tex] which is again irrational.

So, a. is not correct.

Checking option b.

Multiply [tex]\pi[/tex] and 1.

Result is: [tex]\pi[/tex] which is again irrational.

So, b. is not correct.

Checking option a.

Multiply [tex]\pi[/tex] and [tex]\frac{1}{10}[/tex].

Result is: [tex]\frac{\pi}{10}[/tex] which is again irrational.

So, c. is not correct.

Checking option d.

Multiply [tex]\pi[/tex] and 0.

Result is: 0 which is rational.

So, d. 0 is the correct answer.

Answer:

-32x + 32

Step-by-step explanation:

7(-3x + 2) - 11x + 18

( -7 * 3x + 7 * 2) - 11x + 18

-21x + 14 - 11x + 18

-21x - 11x + 14 + 18

-32x + 32

Answer:

[tex]h=1/3[/tex]

Step-by-step explanation:

So we have the equation:

[tex]-12h+4=0[/tex]

Subtract 4 from both sides:

[tex](-12h+4)-4=(0)-4\\-12h=-4[/tex]

Divide both sides by -12:

[tex](-12h)/-12=(-4)/-12\\h=-4/-12[/tex]

Simplify and reduce:

[tex]h=1/3[/tex]

Answer:

h =1/3

Step-by-step explanation:

[tex]-12h + 4 = 0\\\\\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}\\-12h+4-4=0-4\\\\\mathrm{Simplify}\\-12h=-4\\\\\mathrm{Divide\:both\:sides\:by\:}-12\\\frac{-12h}{-12}=\frac{-4}{-12}\\\\Simplify\\h=\frac{1}{3}[/tex]

Answer:

p=2

Step-by-step explanation:

17-2p=2p+5+2p

17-2p=4p+5

17=6p+5

12=6p

2=p

Answer:

Step-by-step explanation:

a. 128

b.148

c.178

d.167

e.295

Answer:

C = 100

Step-by-step explanation:

PEMDAS

multiplication and division first from left to right so

125/25 = 5

5x5 = 25

25 + 75 = 100

Answer:

C. 100

Step-by-step explanation:

To complete this question you must use systems of equations.

First you must complete multiplication or division depending on which comes first in the left to right sequence. In this case it is 125/25 which equals 5. This now makes the equation 75+5 x 5

Next, you complete any other division or multiplication Which in this case is, 5x5. The answer to this is 25, making the new equation, 75+25 which when added together equals 100!

And that is how you use systems of equations. Hope it helps ;)

Answer:

10.8 km/hr

Step-by-step explanation:

Given that

radius of the diameter is 4 cm

Converting 4 cm to km, we have

4/100000 = 0.00004 km or 4*10^-5 km

Angular speed is given as

v = 2πr/T

Where T is, 1/n,and n is the number of revolutions

v = (2 * 3.142 * 0.00004) / (1/7000)

v = 0.00126 / 0.007

v = 0.18 km/min

This is in km/min, now we convert to km/hr as requested.

0.18 * 60 = 10.8 km/hr

Answer:

Step-by-step explanation:

This problem basically tests our understanding of representing word problems using inequalities and equations.

In the first instance, Lawrence can charge his client an amount that is less than $250, hence all terms to the right should not be greater $250 when executed.

Also, the second expression says that he can also charge more than $700 when hence all terms in the right-hand side should be greater than $700 when executed    

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] \mathsf{5(2x - 1) - 2(3x + 2)}[/tex]

Distribute 5 through the parentheses

[tex] \mathsf{10x - 5 - 2(3x + 2)}[/tex]

Distribute 2 through the parentheses

[tex] \mathsf{10x - 5 - 6x - 4}[/tex]

Collect like terms

[tex] \mathsf{4x - 5 - 4}[/tex]

Calculate

[tex] \mathsf{4x - 9}[/tex]

Hope I helped!

Best regards!

Answer:

x is equal to six

Step-by-step explanation:

4 × 6 = 24

Answer: There is only one step to this equation. We will use inverse operations to isolate the x by dividing 4 on both sides. (4 is being multiplied by x, and the opposite of multiplication is division.)

4x/4 = x

24/4 = 6

The equation now looks like:

x = 6

x is equal to 6, so this is your answer.

Answer:

r+2.75=3÷0.5

r+2.75=6

r=6-2.75=3.25

Answer:

3.25

Step-by-step explanation:

It's the answer on Khan

Answer:

a: 0.2

b: 0.4

c: 0.95

Step-by-step explanation:

the whole probability is 1, use 1 to subtract and you will find the answer

Answer:

14/18 =0.7778

Step-by-step explanation:

14/18 =0.7777.........=0.7778 rounded to the nearest thousandth

Answer:

25c+5d

Step-by-step explanation:

First, write out the equation as you have been given in the problem:

[tex]5(3c-[d-2(c+d)])\\[/tex]

Next, distribute the -2 to the set of parenthesis containing "c+d" and combine any like terms that you can:

[tex]5(3c-[d-2c-2d])\\5(3c-[-2c-d])[/tex]

Then, distribute the "-"to the "-2c-d" in the brackets and combine and like terms that you can:

[tex]5(3c+2c+d)\\5(5c+d)[/tex]

Finally, distribute the coefficient 5 to the terms inside the parenthesis:

[tex]25c+5d[/tex]

Therefore, 25c+5d is you simplified answer to the problem.

Answer:

The answer is

Step-by-step explanation:

Divide both sides of the equation by ln 2

That's

We have

Covert the logarithm into exponential form using the property

\: \: is \: \: \: the \: \: \: same \: \: \: as \: \: \: \:

Are all the same

So

is the same as

Divide both sides by 4

We have the final answer as

Hope this helps you

Answer:

  C.  When it was purchased (year 0), the coin was worth $6.

Step-by-step explanation:

The y-intercept is 6, indicating the value of the rare coin was 6 in year zero.

Answer:

x=9

Step-by-step explanation:

3x-2=25

Add 2 to each side

3x-2+2=25+2

3x = 27

Divide by 3

3x/3 = 27/3

x = 9

Answer:

x=9

Step-by-step explanation:

3x-2=25

3x =25+2

3x =27

x =27/3

x =9

Answer:

299 and 45 if I am correct due to alternate angles and angles adding up to 360

Answer:

1)B+125=180

so,B=55

and x=B=55(alternate angles are equal)

2)a+136=180

so, a=44

3)2x+3x+x=180

or, 6x=18

so, x=3

The true statements are: 3, 4 and 5

Step-by-step explanation:

search it up

Answer:

2,3,and 4

Step-by-step explanation:

Answer:

i think it c

Step-by-step explanation:

Answer:

Step-by-step explanation:

let

LM = 2x + 9

MN = 13x-5

NL = 36 – x

find: x

Answer:

[tex]4[/tex]

Step-by-step explanation:

[tex]4 - 0.25g + 0.5h = 4 - 0.25(10) + 0.5(5) = 4 - 2.5 + 2.5 = 1.5 + 2.5 = 4[/tex]

Answer:

Step-by-step explanation:

[tex]4-0.25g+0.5h\\g =10\\h=5\\\\4 -0.25(10)+0.5(5)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=4-0.25\times\:10+0.5\times\:5\\\\\mathrm{Multiply\:the\:numbers:}\:0.25\times\:10=2.5\\=4-2.5+5\times\:0.5\\\\\mathrm{Multiply\:the\:numbers:}\:0.5\times\:5=2.5\\=4-2.5+2.5\\\\\mathrm{Add/Subtract\:the\:numbers:}\:4-2.5+2.5\\=4[/tex]

Answer:

Step-by-step explanation:

60 x 60 = 3600

3600 x 24

5280 x 12

I know for steps 2 and 3 to be equal, 3600 would have to be half of 5280 because 24 is twice 12, and it’s not. And because 3600 is more than half of 5280, I know that 3600 times 24 is more than 5280 times 12. My answer, therefore, is there are more seconds in a day.

Answer:

a)57

Step-by-step explanation:

Answer:

[tex]23^{n + 8} = 23^5[/tex].

n = -3.

Step-by-step explanation:

[tex]23^8 * 23^n = 23^5[/tex]

[tex]23^{n + 8} = 23^5[/tex]

Since both sides have the same base (23), we can solve for n.

n + 8 = 5

n = 5 - 8

n = -3.

Hope this helps!

Answer:

[tex]\huge \boxed{n=-3}[/tex]

Step-by-step explanation:

[tex]23^{8} \times 23^{n}=23^{5}[/tex]

[tex]\sf Apply \ rule : a^b \times a^c=a^{b+c}[/tex]

[tex]23^{8+n}=23^{5}[/tex]

[tex]\sf Apply \ rule : a^b=a^c \rightarrow b=c[/tex]

[tex]8+n=5[/tex]

[tex]\sf Subtract \ 8 \ from \ both \ sides.[/tex]

[tex]8+n-8=5-8[/tex]

[tex]n=-3[/tex]

Answer:

Step-by-step explanation:

-5 - (-7) = -5 + 7 = (-5) + (7) = (7) + (-5) = 7 - 5 = 2

Answer:

[tex] \boxed{\sf x = 14} [/tex]

Step-by-step explanation:

Solve for x:

[tex] \sf \implies 11 = \frac{1}{2} (x + 8)[/tex]

[tex] \sf 11 = \frac{1}{2} (x + 8) \: is \: equivalent \: to \: \frac{1}{2} (x + 8) = 11 : [/tex]

[tex] \sf \implies \frac{1}{2} (x + 8) = 11[/tex]

[tex] \sf Multiply \: both \: sides \: of \: \frac{1}{2} (x + 8) = 11 \: by \: 2 : [/tex]

[tex] \sf \implies \frac{1}{ \cancel{2}} (x + 8) \times \cancel{2 }= 11 \times 2[/tex]

[tex] \sf \implies 1(x + 8) = 11 \times 2[/tex]

11 × 2 = 22:

[tex] \sf \implies x + 8 = 22[/tex]

Subtract 8 from both sides:

[tex] \sf \implies x + (8 - 8) = 22 - 8[/tex]

8 - 8 = 0:

[tex] \sf \implies x = 22 - 8[/tex]

22 - 8 = 14:

[tex] \sf \implies x = 14[/tex]

The value of x is 4, for the equation 11 = 1/2 (x + 8).

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

11 = 1/2 (x + 8)

Simplify the equation by multiplying 2 in both the sides,

11 × 2 =2 × 1/2 × (x + 8)

22 = x + 8

Subtract 8 from both the sides,

22 - 8 = x + 8 - 8

14 = x

or x = 14

The required value of x for the given equation is 14.

To know more about Equation on:

https://brainly.com/question/187506

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Answer:

19/8

Step-by-step explanation:

To find the mixed number

Take the denominator times the whole number

8*2 = 16

Add the numerator

16+3 = 19

Put this over the denominator

19/8

Answer:

-1/7

Step-by-step explanation:

Divide the first expression by the second expression.

Answer:(-5,4)

Step-by-step explanation:

Just took the test on edge

Answer:

(-5,4)

Step-by-step explanation: