A cube has edge length s units. Use an exponent to write an expression for its volume

[tex]\huge\boxed{600,000 + 80,000 + 700 + 5}[/tex]

To find expanded form, we need to split up the digits. When you do that, you take one digit and cut off everything to the left of it, then make everything to the right zeros.

[tex]600,000 + 80,000 + 0 + 700 + 0 + 5[/tex]

We don't need to keep the zeros.

[tex]\boxed{600,000 + 80,000 + 700 + 5}[/tex]

We can check this by adding the numbers back up to get [tex]680,705[/tex].

[tex]680,000 + 700 + 5[/tex]

[tex]680,700 + 5[/tex]

[tex]680,705[/tex]

The number 0.00052 in standard form can be written as 5.2 × 10⁻⁴ in scientific notation.

Given that:

The number 0.00052 is given in the standard form.

This has to be converted into the scientific notation.

Scientific notation is the notation of writing smaller numbers or larger numbers as the product of an integer from 1 to 10 and the power of 10 is raised to positive or negative power.

Here, the number is very small.

So, the power of 10 is negative.

Here, the integer is 5.2.

The decimal point has to be shifted 4 places to the left.

So, the power of 10 is -4.

Hence, the number can be written as 5.2 × 10⁻⁴.

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Answer:

Parallel

Step-by-step explanation:

The two lines y+7x=14 and y+5=-7x are parallel to each other

The two lines y + 7x=14 and y+5=-7x are parallel to each other.

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness,

thus, are on the same slope.

Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.

Given lines is y + 7x=14 and y+5=-7x.

The slope of the given line;

y + 7x=14

y =  -7x + 14

Thus, the slope m = -7.

The slope of the given line;

y+5=-7x

y = -7x - 5

Thus, the slope m = -7.

We can see that the slope are the same.

Thus, The two lines y + 7x=14 and y+5=-7x are parallel to each other.

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Step-by-step explanation:

Supplementary angles equal 180°

1. Let the two angles be x and y

then y = 4x + 10

x + y = 180

x + (4x + 10) = 180

5x + 10 = 180

5x = 180 - 10

5x = 170

x = 170 / 5

x = 34

x = 34y = 146

2. if the two angles are equal then divide 180 by 2 to get 90

3. 180 - x = 3(90 - x)

180 - x = 270 - 3x

2x = 90

x = 45

4. 180 - x = 2x - 12

180 - 12 = 2x + x

168 = 3x

x = 56

Answer:

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products. ... Consider the first example, the distributive property lets you "distribute" the 5 to both the 'x' and the '2'.

Step-by-step explanation:

Answer: 4(x-3)=20

4x-4(3)=20

4x-12=20

4x-12+12=20+12

4x=32

4x/4 = 32/4

x=8

Step-by-step explanation:

To “distribute” means to divide something or give a share or part of something.

Answer:

x = 8

Step-by-step explanation:

Simplifying

9x + -25 = 5x + 7

Reorder the terms:

-25 + 9x = 5x + 7

Reorder the terms:

-25 + 9x = 7 + 5x

Solving

-25 + 9x = 7 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

-25 + 9x + -5x = 7 + 5x + -5x

Combine like terms: 9x + -5x = 4x

-25 + 4x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0

-25 + 4x = 7 + 0

-25 + 4x = 7

Add '25' to each side of the equation.

-25 + 25 + 4x = 7 + 25

Combine like terms: -25 + 25 = 0

0 + 4x = 7 + 25

4x = 7 + 25

Combine like terms: 7 + 25 = 32

4x = 32

Divide each side by '4'.

x = 8

Simplifying

x = 8

Step-by-step explanation:

Don't let the variables scare you. they are just an unknown value, that we can call anything we want. So, we can say y=6-0.6x. If you want an easier equation, just use communitive property to change it to

[tex] y = - \frac{3}{5} x + 6[/tex]

Answer:

6

Step-by-step explanation:

Answer:

Answer would be B.

Step-by-step explanation:

Answer:

332

Step-by-step explanation:

69-9=60

+23=83

x4=332

Answer: yes

Step-by-step explanation: In this problem, we are asked to determine if the relation shown here is a function. The easiest way to determine if a relation is a function is by looking at the x-coordinates. Notice that none of the coordinates repeat so this relation is a function.

Answer:

Step-by-step explanation:

2. Both a relation and function

Answer:

2.

Step-by-step explanation:

Per every pound the price is $3.42

So it does have a relation and function.

Answer:

Bedhshshhssjbsbwbsbw

Step-by-step explanation:

Fhdhshhehehehehehehshehs

Answer: 30x

Multiply  

−

2

by  

5

.

−

3

x

⋅

−

10

Multiply  

−

10

by  

−

3

.

30

x

Answer:

6[tex]x^{6}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

Given

(-3x)(-2[tex]x^{5}[/tex])

= - 3 × [tex]x^{1}[/tex] × - 2 ×[tex]x^{5}[/tex]

= (- 3 × - 2) × [tex]x^{(1+5)}[/tex]

= 6[tex]x^{6}[/tex]

Answer:

[tex]\displaystyle \frac{d}{dt}[t^{\sqrt{11}}] = \sqrt{11}t^{\sqrt{11} - 1}[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = t^{\sqrt{11}}[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

7(x + 3 ) = 6 - (-7x - 15)

Apply the distributive rule to remove parentheses.

7x + 21 = 6 + 7x + 15

Right away, you should be able to see that 7x will be cancelled rendering this equation to have no solution.

Answer: NO SOLUTION

Answer:

Given: The total cost of renting a car is determined by the number of days a car is rented, at $75 per day, and the number of miles it is driven, at $0.50 per mile. The company uses the expression [tex]75x +0.50y[/tex] to evaluate the total cost of renting a car.

To check: We need to check what does the variable x represent.

Here, the company uses the expression [tex]75x +0.50y[/tex] to evaluate the total cost of renting a car.

Here 75 represents the rent per day, and 0.50 represents the cost per mile.

As, x is multiplied by 75. So, the variable x represents the number of day one has taken the car.

Answer: He is 0 cm with respect to the surface of the water.

Step-by-step explanation:

Since we have given that

Length of plastic toy submarine below the water surface = 15 cm

Length of plastic toy submarine above the water surface = 15 cm

For below the surface, we would use negative sign i.e. (-) 15 cm

for above the surface, we would use positive sign i.e. (+) 15 cm

So, now he is

[tex]-15+15=0\ cm[/tex]

Hence, he is 0 cm with respect to the surface of the water.

If a plastic toy submarine is held 15 centimeters below the water surface in a bath tub. The integer that represents the toy submarine's position with respect to the surface of the water is 0.

The toy submarine rose 15 centimetres after initially being 15 centimetres below the water's surface. So, the whole shift in position is upward, or 15 centimetres.

The submarine's net position change is 0 centimetres because it began 15 centimetres below the surface and then rose 15 centimetres (returning to the surface level).

Therefore the integer that represents the toy submarine's position with respect to the surface of the water is 0.

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Answer:

Step-by-step explanation:

(f o g)(7) = f(g(7))

but  g(7) = 7-4 =3

(f o g)(7) = f(g(7))  =     f(3) =  3² =9

Answer: First option.

Step-by-step explanation:

For this exercise it is importnatn to to remember the properties that are shown below:

1) [tex]a^\frac{1}{n}=\sqrt[n]{a}[/tex]

2) [tex](a^m)^n=a^{(mn)}[/tex]

Therefore, given the following expression provided in the exercise:

[tex]\sqrt[3]{4^5}[/tex]

You can apply the properties mentioned before, in order to find an equivalent expression.

Therefore, you get:

[tex]\sqrt[3]{4^5}=(4^5)^{\frac{1}{3}}=4^{\frac{5*1}{3}}=4^{\frac{5}{3}}[/tex]

Then the answer is the first option.

Answer:

[tex]\sqrt[3]{4^5}=(4^5)^{\frac{1}{3}}=4^{\frac{5}{3}}[/tex]

Option 1 and Option 3 is correct

Step-by-step explanation:

Given: [tex] 4^{\frac{5}{3}}=\sqrt[3]{4^5}[/tex]

This is exponent to radical change property.

The fraction exponent write as radical.

[tex]a^{\frac{m}{n}}=\sqrt[n]{a^m}[/tex]

[tex]\sqrt[3]{4^5}=(4^5)^{\frac{1}{3}}=4^{\frac{5}{3}}[/tex]

True

[tex]4^{\frac{8}{3}}\cdot 4^{\frac{7}{3}}=4^{{\frac{8}{3}+\frac{7}{3}}=4^5[/tex]

False

Area of a triangle is 1/2 x base x height.

You are given the area and the height, solve for the base:

600 = 1/2 x base x 20

Multiply both sides by 2:

1200 = base x 20

Divide both sides by 20:

Base = 1200/20

Base = 60 feet.

Answer: 60

A= 1/2BH

600=1/2b*20

20 / 2= 10

600/10=60

Answer:

y≤9/8

Step-by-step explanation:

-9≤-8y

1) Divide both sides by -8 (You must flip the sign when dividing by a negative)

y≤9/8

Answer:

Reflect the graph f(x) across the x axis to obtain the graph g(x).

its c

Step-by-step explanation:

following the accepted steps you would first reflect the graph across the y axis due to the negative sign within the function, then you would reflect the result across the x axis due to the negative sign outside of the function. 

In practice however you only need to reflect across the x axis as -(-x)^2 simplifies to -x^2

Answer:

0,0

1,5

2,10

3,15

4,20

5,25

Step-by-step explanation:

x=cups of flour

y=batches of cookies

Answer:

B

Step-by-step explanation:

From any point (x, y) on the parabola the focus and directrix are equidistant.

Using the distance formula

[tex]\sqrt{(x+2)^2+(y-4)^2}[/tex] = | y - 6 |

Squaring both sides

(x + 2)² + (y - 4)² = (y - 6)² ←  distributing

x² + 4x + 4 + y² - 8y + 16 = y² - 12y + 36 ( subtract y² - 12y + 36 from both sides )

x² + 4x + 4 + 4y - 20 = 0 ( subtract x² + 4x + 4 from both sides )

4y - 20 = - x² - 4x - 4 ( add 20 to both sides )

4y = - x² - 4x + 16 ( divide through by 4 )

y = - [tex]\frac{1}{4}[/tex] x² - x + 4, that is

f(x) = - [tex]\frac{1}{4}[/tex] x² - x + 4 → B

Answer:

Option B

Step-by-step explanation:

Given that a parabola has a focus at (−2, 4) and a directrix of y = 6.

We have to find the equation of the parabola in std form

We know that a parabola is a conic section in which all points are equidistant from the focus and vertex.

Let (x,y) be any point on the parabola

Distance of (x,y) from the focus =[tex]\sqrt{(x+2)^2+(y-4)^2}[/tex] ...i

Distance of (x,y) from directrix = difference in y coordinate = [tex]|y[-6|[/tex]...ii

Since i = ii, square and equate both

[tex](x+2)^2+(y-4)^2=(y-6)^2\\x^2+4x+4 -8y+16 = -12y+36\\4y=-x^2-4x+16\\y = \frac{-1}{4} d^2-x+4[/tex]

Hence option B is right.

Answer:

The vertical angles are ∠ WRS and ∠ VRT ⇒ 2nd answer

Step-by-step explanation:

* Lets explain the meaning of the vertical angles

- Vertical angles are the angles opposite to each other when two lines

  are intersected

- The vertical angle are equal in measures

- Look to attached figure which represents the lines

∵ Line TW intersects line SV at R

∴ ∠ WRV and ∠ SRT are vertical angle

∴ ∠ WRS and ∠ VRT are vertical angle

∵ RU is between the rays of angle VRW

∴ RU intersects the lines TW and SV at R

∴ No vertical angles between RU and the other two lines because

  it intersects them its endpoint R

* Now lets look to the answer to chose the right one

- ∠ WRU and ∠ SRT are not vertical angles

- ∠ WRS and ∠ VRT are vertical angles

- ∠ VRU and ∠ TRS are not vertical angles

- ∠ VRT and ∠ SRT are not vertical angles

The pair of angles that are vertical angles is: ∠WRS and ∠VRT.

When two straight lines intersect each other at a point, the opposite angles that are vertical to each other are called vertical angles.

∠WRS and ∠VRT are vertically opposite each other.

Therefore, the pair of angles that are vertical angles is: ∠WRS and ∠VRT.

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