A scuba diver used the expression below to describe his position in relation to sea level. 2 + (negative 20) + 8 Which statement could describe the diver's movements?

Answer:

It sooo D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

(12, 10, -12)

x = 12

y = 10

z = -12

Step-by-step explanation:

Let's start by picking a variable to eliminate from the three equations, since "z" is at the end, let's go with "z".

Next we'll eliminate z from two of the equations by adding them together so:

(x+y+z=10) + (-2x-2y-z=-32)

you'll get: -x-y=-22

Next we'll eliminate z from the remaining equation in the same way so:

(-2x-2y-z=-32) + (3x-2y+2z=-8)

you'll get: -x-6y=-72

We now have two new equations:

-x-y=-22

-x-6y=-72

From these let's eliminate another variable, let's go with "x" and since both "x" are negative we'll multiply one of the equations by the negative sign of the other equation so we'll end up with one positive x and one negative x, which looks like this:

-x-y=-22

x+6y=72

and when we add these two equations we get:

5y=50

Finally we can solve for y:

y=10

With the known value of y we can use y to plug into the other equations and solve for the x and z variables to get x=12, y=10, z=-12

Answer:

Step-by-step explanation:

[tex]2\frac{1}{3}*\frac{3}{14}=\frac{7}{3}*\frac{3}{14}=\frac{1}{2}\\\\[/tex]

option 1)one- half

  1/2

Option 3) Seven-thirds times three fourteenths

[tex]\frac{7}{3}*\frac{3}{14}=\frac{1}{2}\\\\[/tex]

Option 5) 21/42

[tex]\frac{21}{42}=\frac{1}{2}[/tex]

Answer:

5√8, 14.025, 40/3, √170

Step-by-step explanation:

Step 1: Evaluate √170

√170 = 13.0384

Step 2: Evaluate 5√8

5√8 = 14.1421

Step 3: Evaluate 40/3

40/3 = 13.333

Step 4: Align greatest to least

14.1421 > 14.025 > 13.333 > 13.0384

Step 5: Revert

5√8, 14.025, 40/3, √170

Answer:

-30

Step-by-step explanation:

The integers are the whole numbers and the opposite of the whole numbers.

That is {...,-3,-2,-1,0,1,2,3,...} is the set of integers.

If it is a number you count with or the opposite of a number you count with it or 0, then it is an integer.

So we need to solve the inequality [tex]-3 \le x+5 \le 8[/tex] first, and then just say all the integers included in that compound inequality. Last step is to add since it is asking for the sum of those integers.

Let's do this.

[tex]-3 \le x+5 \le 8[/tex]

Subtract 5 on all sides:

[tex]-3-5 \le x+5-5 \le 8-5[/tex]

Simplify all sides:

[tex]-8 \le x+0 \le 3[/tex]

[tex]-8 \le x \le 3[/tex]

This inequality includes all numbers between -8 and 3, and both include -8 and 3 because of the equal part on both of the inequality parts.

So we have -8,-7,-6,-5,-4,-3,-2,-1,0,1,2, and 3 are the integer solutions of this inequality.

Let's add them. I'm going to put opposites together because I know they will zero out.

So I have this:

-8+-7+-6+-5+-4+-3+-2+-1+0+1+2+3

-8+-7+-6+-5+-4+(-3+3)+(-2+2)+(-1+1)+0

-8+-7+-6+-5+-4+0       +0        +0     +0

-8+-7+-6+-5+-4

-(8+7+6+5+4)

-([8+7]+[6+5]+4)

-([15]+[11]+4)

-(15+11+4)

-([15+11]+4)

-([26]+4)

-(26+4)

-(30)

-30

Answer:

Step-by-step explanation:

hello :

the area is : (3x+4y)²cm²    when :x=4 and y=1, the area is : (3(4)+4(1))²cm² =16²cm2=256cm²

Answer:

its is a

Step-by-step explanatioits n:

The equation of the line will be y = (1/3)x + ( 11 / 3 ). The correct option is B.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Let m be the slope of the line and c is the y-intercept of the line.

The equation of the line is given as,

y = mx + c

The product of the slopes of the perpendicular lines is equal to -1.

y = 3x – 2

m = 3

Then the slope of the perpendicular line will be -1 / 3. The equation of the line will be written as below:-

y = (-1 / 3)x + c

The line is passing through the point  (–2, 3). Then calculate the value of the constant.

3 = (-1 / 3 )2 + c

c = 11 / 3

The equation of the line will be:-

y = (-1/3)x + (11/ 3)

Therefore,  the equation of the line will be y = (1/3)x + ( 11 / 3 ). The correct option is B.

To know more about the equation of the line follow

https://brainly.com/question/18831322

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Answer:

8x + 10y

Hope this helps!

Answer: 8x+10y

Step-by-step explanation: you to distribute the 2 in the parentheses and the you will have 8x+10y but you can't combine uncommon  symbols

Answer:

10.25

Step-by-step explanation:

Answer:

the answer would be 10.25

Answer:

Function

Step-by-step explanation:

Answer:

A - Both answers are functions

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Instead of going through each of the table, let's create one ourselves.

So, we have the piecewise function:

[tex]f(x)=-x+8,\text{ if } x<4\\f(x)=x, \text{ if } x\geq 4[/tex]

So, let's create a table of values starting with 2 and skipping the odd numbers until 12.

2:

For 2, since 2 is less than one, plug it into the first equation. Thus:

[tex]f(2)=-(2)+8=6[/tex]

So, the first value is (2,6).

For 4, since 4 is not less than 4 but rather equal to 4, use the second equation. Thus:

[tex]f(4)=(4)=4[/tex]

The second value is (4,4).

For 6, the same thing. 6 is greater than 4 so use the second equation:

[tex]f(6)=(6)=6[/tex]

So the third value is (6,6).

And this pattern will repeat. Therefore, our table of equations is:

x   |      y

2  |      6

4  |      4

6  |      6

8  |     8

10 |    10

12  |    12

The choice that represents this is D. D is the correct answer.

Answer:

16

Step-by-step explanation:

Subtracting the 2 expressions

3b² - 8 - b(b² + b - 7) ← distribute parenthesis

= 3b² - 8 - (b³  + b² - 7b) ← distribute parenthesis by - 1

= 3b² - 8 - b³ - b² + 7b ← collect like terms

= - b³ + 2b² + 7b - 8 ← substitute b = - 3 into the expression

= - (- 3)³ + 2(- 3)² + 7(- 3) - 8

= - (- 27) + 2(9) - 21 - 8

= 27 + 18 - 21 - 8

= 16

Answer:

Step-by-step explanation:

[tex]4a-3\left(4-a\right)\\\\\mathrm{Expand}\:-3\left(4-a\right):\quad -12+3a\\\\=4a-12+3a\\\\\mathrm{Simplify}\:4a-12+3a:\quad 7a-12\\\\\mathrm{Simplify}\:4a-12+3a:\quad 7a-12\\\\=7a-12[/tex]

Answer:

B. 5,7,12 is what I got.

Answer:

c

Step-by-step explanation:

Answer:

-42

Step-by-step explanation:

negative * negative = positive

positive * negative = negative

negative * positive = negative

(-6)(-7)(-1) =

= 42(-1)

= -42

Answer:

-42

Step-by-step explanation:

negative * negative = positive

positive * negative = negative

negative * positive = negative

(-6)(-7)(-1) =

= 42(-1)

= -42

Answer:  see proof below

Step-by-step explanation:

Use the Triple Angle Identity: sin 3A = 3sinA - 4sin³A

[tex]\text{Given:}\quad \sin\bigg(\dfrac{\theta}{3}\bigg)=\dfrac{1}{2}\bigg(m+\dfrac{1}{m}\bigg)[/tex]

Proof LHS → RHS

LHS:                                 sin Ф

Let A = Ф/3                     sin 3A

Triple Angle Identity:     3sinA - 4sin³A

Substitute Ф/3 = A:         3sin(Ф/3) - 4sin³(Ф/3)

Substitute sin(Ф/3):         [tex]3\bigg(\dfrac{1}{2}\bigg(m+\dfrac{1}{m}\bigg)\bigg)-4\bigg(\dfrac{1}{2}\bigg(m+\dfrac{1}{m}\bigg)\bigg)^3[/tex]

[tex]\text{Simplify:}\qquad \qquad \dfrac{3m}{2}+\dfrac{3}{2m}-4\bigg(\dfrac{1}{8}\bigg(m^3+3m+\dfrac{3}{m}+\dfrac{1}{m^3}\bigg)\bigg)\\\\.\qquad \qquad \qquad =\dfrac{3m}{2}+\dfrac{3}{2m}-\dfrac{m^3}{2}-\dfrac{3m}{2}-\dfrac{3}{2m}-\dfrac{1}{2m^3}\\\\.\qquad \qquad \qquad =-\dfrac{m^3}{2}-\dfrac{1}{2m^3}\\\\\text{Factor:}\qquad \qquad -\dfrac{1}{2}\bigg(m^3+\dfrac{1}{m^3}\bigg)[/tex]

[tex]\text{LHS = RHS:}\quad -\dfrac{1}{2}\bigg(m^3+\dfrac{1}{m^3}\bigg)=-\dfrac{1}{2}\bigg(m^3+\dfrac{1}{m^3}\bigg)\quad \checkmark\\[/tex]

Answer:

8b+2

Step-by-step explanation:

Combine Like Terms:

=−b+2+9b

=(−b+9b)+(2)

=8b+2

Answer: no -10 isn't a rational number

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Hi my lil bunny!

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Is -10 a rational number?

No -10 is not a rational number, because A rational number is, as the name implies, any number that can be expressed as a ratio, or fraction. The number 6 is rational number because it can be expressed as 6/1, though this would be unusual. 4.5 is a rational number, as it can be represented as 9/2.

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Have a great day/night!

❀*May*❀

Answer:

Length=17

Width=4

Step-by-step explanation:

Length=x

Width=2x-30

x(2x-30)=68

2x²-30x=68

2x²-30x-68=0

2(x²-15x-34)=0

2(x+2)(x-17)=0

So x equals either 17 or -2.  Since it can’t be -2, x=17

Length=x=17

Width=2x-30=2*17-30=34-30=4

Answer:

Length  L = 17 ft.

Width   W = 4 ft

Step-by-step explanation:

Area of a rectangle = L * W

Area = 68 ft²

W = 2L - 30

Area = L * W

68 = L * (2L - 30)

68 = 2L² - 30L

2L² - 30L -68 = 0     ( solve L by using quadratic equation)

        -(-30) ± √ -30² - 4 * 2 * (-68)

L = -------------------------------------------

                       2 * 2

L = 17 ;  L= - 2   therefore use L = 17 ft.

solve for W:

W = 2L - 30

W = 2(17) - 30

W = 34 - 30

W = 4 ft

check:

Area = L * W

68 = 17 * 4

68 = 68  ----- OK

Answer:

Q1. y = 5 Q2.  (√2 - √3)/2

Step-by-step explanation:

Q1

√12 - √147 + y√3 = 0

Taking -√147 and √12 to the right hand side, we have

y√3 = √147 - √12

y√3 = √(3 × 49) - √(3 × 4)

y√3 = √3 × √49 - √3 × √4

y√3 = √3 × 7 - √3 × 2

y√3 = 7√3 - 2√3

y√3 = 5√3

Dividing both sides by √3, we have

y√3/√3 = 5√3/√3

y = 5

Q2

Sin45° - Cos30°

Since Sin45° = √2/2 and Cos 30° = √3/2

Substituting these values into the equation, we have

Sin45° - Cos30° = √2/2 - √3/2

Taking L.C.M of both factors, we have

Sin45° - Cos30° = (√2 - √3)/2

Answer:

-7×-9

=63

Step-by-step explanation:

If u multiple - with -, I'll get + sign

Answer:

63

Step-by-step explanation:

-7*(-9)

7*9

63

Best of Luck!

Answer:

7/15

Step-by-step explanation:

Well 4/5 - 1/3 = 12 / 15 - 5 / 15 which is equal to 7/15, but there aren't any expressions in your question.

Answer:

7/15

Step-by-step explanation:

4/5 - 1/3 = 12 / 15 - 5 / 15 = 7/15

Answer:

A. 6 to the Second Power.

Step-by-step explanation:

Hope it Helped!

Answer: circle

Step-by-step explanation:

because each point is the same from the center

Answer:

multiplying the length and the width.

Step-by-step explanation:

To find the area of a rectangle, multiply its height by its width.

For a square you only need to find the length of one of the sides then multiply this by itself to find the area.

Answer: number name = 22 million

Expanded form: 22,000,000 = 20,000,000+2,000,000

Step-by-step explanation:

To write the number name and expanded form for the number of driver ants that could be in two colonies.

Given: Up to 22,000,000 driver of ants can live in a single colony

Since 1, 000, 000 =1 million

So 22,000,000= 22 million

Expanded form: 22,000,000 = 20,000,000+2,000,000

Hence, number name = 22 million

Expanded form: 22,000,000 = 20,000,000+2,000,000

Answer:

(C) Division Property of Equality

Step-by-step explanation:

Looking at the equation [tex]2y=18[/tex], we see that if we want to isolate y, we need to divide it by 2 - because we're multiplying it by 2, and 2 times a number divided by 2 is just the number.

The Division Property of Equality states that if we have an equation, [tex]a=b[/tex], then [tex]a\div c = b\div c[/tex].

So, that means [tex]2y\div 2[/tex] will be equal to [tex]18 \div 2[/tex], which is 9.

Hope this helped!

Answer:

C. Division Property of Equality

Step-by-step explanation:

The equation is

2y = 18

The answer is of the form

y = a number

Now, we have 2y. We want y alone. 2y means 2 multiplied by y. Since we want y alone, to undo the multiplication of 2 and y, we need to use division. We need to divide 2y by 2. Then we also need to divide the right side by 2. Since we are using division, the answer is:

C. Division Property of Equality

Answer:

I = BLv/R

Step-by-step explanation:

V = BLv

V = IR

Since both right sides are equal to V, set the right sides equal to each other.

IR = BLv

I = BLv/R