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Answer:

range = 10

Step-by-step explanation:

The range is the difference between the largest and smallest values in the data set.

largest value = 12

smallest value = 2

range = 12 - 2 = 10

Answer:

F.

Step-by-step explanation:

Answer:

I think that's 25 though I have no assurance

Answer:

The Total Value of Expenses is $14,350

Step-by-step explanation:

AMOUNT

Depreciation Expense $ 2,000

Wage Expense $ 10,950

Interest Expense $ 500

Supplies Expense $ 500

Utility Expense $ 400

TOTAL $ 14,350

Answer:

$54

Step-by-step explanation:

First, we calculate the amount she paid for each pen.

$255/5 = $51

She paid $51 for each pen.

She made a profit of $3 per pen, so she sold each pen for $51 + $3 = $54

Answer: $54

Answer: B. The stocks have a yield 6.84 percentage points greater than that of the bonds.

Step-by-step explanation:

Firstly, the yield for stocks will be calculated as:

= return/ investment cost

= $3.15/$ 21.38

= 0.14733395

= 14.73%

The yield for bonds will be calculated as:

= Return/Investment cost

Return = 1,000 x 8.3% = 83

Investment cost = 1,000 x 105.166/100 = 1051.66‬

Yield = 83/1051.66

= 0.07892284

= 7.89%

Then, the difference between the yield will be:

= 14.73% - 7.89%

= 6.84%

Therefore, the stocks have a yield 6.84 percentage points greater than that of the bonds.

Answer:

b.The stocks have a yield 6.84 percentage points greater than that of the bonds.    Step-by-step explanation: got it right on edge 2022!

Answer:

Exponential growth is a process that increases quantity over time. It occurs when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself.

Answer:

The answer is probably B. If not it might be C.

Step-by-step explanation:

Exponential growth is growth that becomes more and more rapid. I hope this helps :).

Answer:

it would be 0.7 got it right when i done it

Step-by-step explanation:

Answer: real answer is 0.278

Step-by-step explanation:

Answer:10

Step-by-step explanation:

The question is incomplete. The complete question is :

To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation g = 748u, where g is the total number of gallons of water used and u is the number of units. Determine which statements about the relationship are true. Check all that apply.

g is the dependent variable.

u is the dependent variable.

g is the independent variable.

u is the independent variable.

The variables cannot be labeled without a table of values.

The variables cannot be labeled since any value can be selected for either

Solution :

Given equation :

g = 748 u

Here, g = total number of gallons of water used

         u = number of units

Customers uses the number of units of water.

The unit of water is independent of the total number of gallons of water used.

So the number of units u is an independent variable.

But the value of gallons of water depends on the number of units that is used.

Therefore, number of gallons of water g is a dependent variable.

Thus, we can say that :

Answer:

y = 4/1 + 0

Step-by-step explanation:

we rise 4 units up and move 1 unit to the right

and the y intercept is 0 because its exactly in the center of x and y axis

Answer:

[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]

Step-by-step explanation:

Given

[tex]x_1 = -2[/tex]

[tex]x_2 = 3[/tex]

[tex](x,y) = (-1,2)[/tex] --- a point on the parabola

Required

The equation

First, calculate the equation from the zeros

[tex]y =k(x - x_1)(x - x_2)[/tex]

Substitute [tex]x_1 = -2[/tex] and [tex]x_2 = 3[/tex]

[tex]y =k(x - -2)(x - 3)[/tex]

[tex]y =k(x +2)(x - 3)[/tex]

To solve for k, we substitute [tex](x,y) = (-1,2)[/tex]

[tex]2 = k(-1+2)(-1-3)[/tex]

[tex]2 = k(1)(-4)[/tex]

[tex]2 = -4k[/tex]

Divide by -4

[tex]k=\frac{2}{-4}[/tex]

[tex]k=-\frac{1}{2}[/tex]

So, the equation is:

[tex]y =k(x +2)(x - 3)[/tex]

[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]

Answer:

C

Step-by-step explanation:

Answer:

(A). y = ( x - 3 ) ( x + 4 )

Step-by-step explanation:

Answer:

117

90

90

127

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 117

2. 90

3. 90

4. 127

Answer:

16 units²

Step-by-step explanation:

Formula for the area of a parallelogram is given as, A = b*h

Where,

Base (b) = 4

Height (h) = √(5² - 3²) = 4 (Pythagorean theorem)

Plug in the values

Area of parallelogram, A = 4*4

= 16 units²

Answer:

The first one, f+2g+3t! :)

Step-by-step explanation:

F is worth 1 point so you don't need to add a number, g is worth 2 points, and t is worth 3 points.

Answer:

a. $1.50 per pound of weight.

b. C

Step-by-step explanation:

a. explanation:

1. pounds is increasing by +4 and dollars are increasing by +6.00

 2. as a fraction it is 6/4.

  3. simplified is 1 1/2 or 1.50

b. explanation

1. we know that the slope (or rate of change) is $1.50 /per pound of weight.

 2. 4 - 4 = 0; $11.00 - 6.00 = $5.00

  3. 0, $5.00

   4. The y-int. is $5.00

    5. answer is C

Answer:

x = 39°

Step-by-step explanation:

51° + 90° = 141°

180° - 141° = x

x = 39°

They often don't label the 90° angle, so watch out for that in the future

Answer:

Step-by-step explanation:

b(a + 1) + a = b*a + b + a = ab + b + a

1) b(2a +1 ) = b*2a + b*1 = 2ab + b  Not equivalent.

2)a + (a +1)*b = a + ab+ b     Equivalent

3) (a +1)(b+ a) = a*(b +a) + 1*(b+a) = ab+ a² +b + a  Not equivalent.

4) (a + 1)b + a = ab+ b + a   Equivalent

5) a + b(a+1) = a +ab + b Equivalent

6) a + (a +1) + b = a + a + 1 + b = 2a + 1 +b  Not equivalent.

7) a(b +1) + b = ab + a + b  Equivalent

Answer:

(1,1)

Step-by-step explanation:

In the equation f(x), you are plugging in the x coordinate which in this case is one. That means in 1/4f(x), x will remain the same, because you are still plugging in the same thing. What will change is the y coordinate. 1/4f(x) is saying that the y coordinate will be a fourth of the original y coordinate(4). 4 times 1/4 is equal to one.

If the x coordinate stays the same, and the y coordinate is a fourth of 4, the corresponding points in the function f(x) will be (1,1)

Answer:

c

Step-by-step explanation:

If he could clean the house alone in one hour, then it wouldve taken him and his sister less than that. if he could clean it in 3 hours, it wouldve tkane him and his sister 1.5 hours.

Answer:

Step-by-step explanation:

c. 6 hours

Answer: [tex]30[/tex]

Step-by-step explanation:

Given

[tex]k(x)=2x+3[/tex]

[tex]M(x)=3x^2+7x-10[/tex]

[tex]M\left(k(x)\right)[/tex] is given by replacing the [tex]x[/tex] by [tex]k(x)[/tex] from the [tex]M(x)[/tex]

[tex]\Rightarrow M\left(k(x)\right)=3(2x+3)^2+7(2x+3)-10\\\Rightarrow M\left(k(x)\right)=3(4x^2+9+12x)+14x+21-10\\\Rightarrow M\left(k(x)\right)=12x^2+50x+38[/tex]

Now, [tex]M\left(k(-4)\right)[/tex] is

[tex]\Rightarrow M\left(k(-4)\right)=12(-4)^2+50(-4)+38\\\Rightarrow M\left(k(-4)\right)=192-200+38\\\Rightarrow M\left(k(-4)\right)=30[/tex]

Answer:

Slope = 3

Step-by-step explanation:

Slope formula

(y2 - y1) / ( x2 - x1)

Where the x and y values are derived from the coordinates

Choose any two given ordered pairs and plug them into the formula

The points chosen may vary but the points I chose were (1,3) and (2,6)

( Note that ordered pairs are written as (x,y))

Next we want to define the variables

x1 = 1

x2 = 2

y1 = 3

y2 = 6

Finally we plug in the values into the slope formula

(6-3) / (2-1)

Subtract top values

3/(2-1)

Subtract bottom values

3/1

Simplify

slope = 3

Answer:

slope = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (3, - 5)

m = [tex]\frac{-5-5}{3-(-2)}[/tex] = [tex]\frac{-10}{3+2}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2

Answer:

y = 5

Step-by-step explanation:

3y - 2 = 13

We are solving for y, so we want to isolate it.

Add 2 to both sides.

3y = 15

Continue isolating y by dividing both sides by 3.

y = 5

Check your answer by plugging it back into the original equation.

3y - 2 = 13

3(5) - 2 = 13

Multiply.

15 - 2 = 13

Subtract.

13 = 13

Your answer is correct.

Hope this helps!

Answer:

y = 5

Step-by-step explanation:

Get y by itself:

3y - 2 = 13

     +2    +2

3y = 15

Divide by 3:

3y = 13

÷ 3    ÷ 3

y = 5