a car rental charges is $100 per day plus $0.30 per mile traveled if the total is 300 miles was travelled in one day how much is the rental compony going to receive as a payment

The inputs or values that can be put into expressions or equations depend on the variables or parameters involved in the mathematical context.

In mathematics, expressions and equations are used to represent relationships and perform calculations. To evaluate or solve these expressions and equations, we need to provide specific values or inputs. The values we can substitute into expressions or equations depend on the variables or parameters involved in the given mathematical context.

For example, let's consider the equation: y = 2x + 3. In this equation, we have two variables, x and y. To find the value of y for a given value of x, we can substitute a specific value into the equation. For instance, if we substitute x = 5, we can solve the equation as follows:

y = 2(5) + 3

y = 10 + 3

y = 13

In this case, the value 5 is the input that we substituted into the equation to find the corresponding output or value of y.

Similarly, expressions can also be evaluated by substituting specific values. For example, if we have the expression: 3x^2 - 4x + 2, we can calculate the value of the expression for a given value of x. If we substitute x = 2, we can evaluate the expression as follows:

3(2)^2 - 4(2) + 2

3(4) - 8 + 2

12 - 8 + 2

6 + 2

8

In this case, the input or value that we substituted into the expression is 2, and the resulting value is 8.

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The surface area of the new prism is 184.24 cm² and the volume is 131.88 cm³.

The new prism is similar to the original one, which means that all of its dimensions are 140% of the original dimensions. We can calculate the new dimensions by multiplying each of the original dimensions by 1.4:

Length: 3 cm x 1.4 = 4.2 cm

Width: 4 cm x 1.4 = 5.6 cm

Height: 5 cm x 1.4 = 7 cm

To calculate the surface area of the new prism, we need to find the area of each face and add them up. There are six faces, each with a different area:

Top and bottom faces: Length x Width = 4.2 cm x 5.6 cm = 23.52 cm² x 2 = 47.04 cm²

Front and back faces: Length x Height = 4.2 cm x 7 cm = 29.4 cm² x 2 = 58.8 cm²

Left and right faces: Width x Height = 5.6 cm x 7 cm = 39.2 cm² x 2 = 78.4 cm²

Total surface area of the new prism = 47.04 cm² + 58.8 cm² + 78.4 cm² = 184.24 cm²

To calculate the volume of the new prism, we multiply the length, width, and height together

Volume of the new prism = Length x Width x Height = 4.2 cm x 5.6 cm x 7 cm = 131.88 cm³

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The given question is incomplete, the complete question is:

suppose the dimensions of the right rectangular prism are 3 cm by 4 cm by 5 cm. another right rectangular prism is similar to this one with scale factor 140%. without calculating the dimensions, what are the surface area and volume of the new prism?

Answer:

174

Step-by-step explanation:

l x w

5x20

8x4

6x7

174

The two figures show equivalent graphs because:

A. The graphs have several edges that match the number of vertices.

B. The graphs have the same number of edges.

C. The vertices are connected in the same way.

D. The graphs have the same number of vertices.

The third equivalent graph is at option D.

The graphs that have the same number of vertices connected in the same way are called equivalent graphs. If they are connected in the same way then their count of edges will be the same for both graphs. They are also said to be isomorphic graphs.

The given graphs have
Graph1: vertices BCJK

Graph2: vertices BCJK

So, there is the same number of vertices for both graphs.

The connection between the vertices:

Graph1: J - B - C - K - B

Graph2: J - B - C - K - B

So, they are connected in the same way.

The edges formed by these vertices:

Graph1: JB; BC; CK; KB

Graph2: JB; BC; CK; KB

So, there is the same number of edges for both graphs.

Here the number of edges = the number of vertices i.e., (4 = 4)

From all these comparisons, the given graphs are equivalent.

The third equivalent graph made from these graphs is at option D in the diagram attached below.

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Disclaimer: The given question is incomplete. There is no image attached in the given question. Here the image is attached.

Answer:

box 2 and 3

Step-by-step explanation:

the rays are the only two that form the angle of 1

Answer:

Squirrel has High BLood pressure

Step-by-step explanation:

Squirrels

Answer:

Option B

Step-by-step explanation:

<r = 32 degrees (alternate angles )

<r = <n = 32 degrees (vertical angles)

Answer:

x = 19

Step-by-step explanation:

So cos and sin are closely related, but they are not equal. In order for these two to be equal to each other, the angles (in the parenthesis by the cos and by the sin) have to be complementary. That is, they have to add up to 90°

Use this idea to set up an equation.

x + 16 + 3x - 2 = 90

Combine like terms.

4x + 14 = 90

Subtract 14.

4x = 76

Divide by 4.

x = 19

x = 19

If you are kooking for the angles:

x + 16

= 19 + 16

= 35

and

3x - 2

= 3(19) - 2

= 57 - 2

= 55

Check: 35 + 55=90

Also,

cos35 = sin55

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

The state income tax owed on a $40,000 per year salary is $1,500.

We have,

To calculate the state income tax owed on a $40,000 per year salary, we need to use the progressive tax rate table given in the problem.

Since $40,000 falls within the income range of $10,001 to $50,000, the tax rate that applies is 5%.

The amount of income that falls within this range.

= $40,000 - $10,000

= $30,000.

So we can calculate the tax owed on this income as:

tax = 5% x $30,000

= 5/100 x 30,000

= $1,500

Therefore,

The state income tax owed on a $40,000 per year salary is $1,500.

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Answer: 1,800

Step-by-step explanation:

Answer:

y-10

Step-by-step explanation:

Answer:

B??

Step-by-step explanation:

Sorry if i'm wrong! :(

Answer:

D

Step-by-step explanation:

i just took the test:)

Answer:

Number of pages Kayla read before dinner = \(9\frac{3}{8}\) pages

Step-by-step explanation:

Given:

Total number of pages Kayla read on Friday = \(12\frac{1}{2}\) = 25/2 pages

Number of pages Kayla read before dinner = [3/4][Total pages she read]

Find:

Number of pages Kayla read before dinner

Computation:

Number of pages Kayla read before dinner = [3/4][Total pages she read]

Number of pages Kayla read before dinner = [3/4][Number of pages Kayla read before dinner]

Number of pages Kayla read before dinner = [3/4][25/2]

Number of pages Kayla read before dinner = 75/8

Number of pages Kayla read before dinner = \(9\frac{3}{8}\) pages

The equivalent equation of  r sinθ = 10 in rectangular coordinates is y²  +   y⁴/x² - 100 = 0.

The rectangular coordinates is calculated from the polar equation as follows;

r sinθ = 10

the conversion from polar to rectangular coordinates;

r² = x² + y²

r = √(x² + y²) ----- (1)

y/x = tanθ  ------ (2)

r sinθ = 10

√(x² + y²)(y/x) = 10

(x² + y²)(y²/x²) = 100

y²  +   y⁴/x² = 100

y²  +   y⁴/x² - 100 = 0

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Answer: 120 yds

Step-by-step explanation:

48+30+24+18+120 yds

Answer:

b

Step-by-step explanation:

fairly certain it is b

Answer:

I just answed this question today!Your asnwer is 144.

Step-by-step explanation:

1:5:3

48 total.

Divide 48 and get 16

Multiply 16 x1

Multiply 16 x5

Multiply 16x 3

16:80:48

By definition of proportion, the value of x is,

⇒ x = 80

We have to given that;

In a triangle,

Perpendicular = 60

Now, By Pythagoras theorem we get;

60² = 36² + y²

3600 = 1296 + y²

y² = 3600 - 1296

y² = 2304

y = 48

Hence, By definition of proportion;

⇒ x / 48 = 60 / 36

⇒ x = 80

Thus, By definition of proportion, the value of x is,

⇒ x = 80

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Answer:

10

Step-by-step explanation:

in total there are 10/4 mixture so if one pancake is 1/4 10 pancakes can be made

Answer:

<1+125=180°{linear pair}

<1=180-125

<1=55

Answer:

0.3

Step-by-step explanation:

You know the total amount of children like simpsons are 90, and the total can be calculated by adding the 100+110+90 to get the total amount of children in all groups. You then can divide 90 by 300 to get the percent.

Hope this helps!

I think that chart is a bit overdue or inaccurate xd

Answer:

180 pound

Step-by-step explanation:

the value of 12%

much steel will the new car model use is 180 pound

By substitution; x = 4 and y = -31

An equation is a mathematical statement that shows that two mathematical expressions are equal. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity.

y=-6x-7 --- 1

7x+y=-3 --- 2

Substituting y as 6x - 7 in equation 2

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

7x - 6x - 7 = -3

x - 7 = -3

x = -3 + 7

x = 4

Substitute x as 4 in equation 1

y = -6x - 7

y = -6(4) - 7

y = -24 - 7

y = -31

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Answer:

\(1\ Lt = \pounds 1.157\)

Step-by-step explanation:

Given

\(\pounds 1 = 0.864\ Lt\)

Required

Determine the worth of 1 Lt

\(\pounds 1 = 0.864\ Lt\)

Divide both sides by 0.864

\(\pounds \frac{1}{0.864} = \frac{0.864}{0.864}\ Lt\)

\(\pounds \frac{1}{0.864} = 1\ Lt\)

\(1\ Lt = \pounds \frac{1}{0.864}\)

\(1\ Lt = \pounds 1.157\) --  approximated

Answer:

x₁  =  400    x₂  =   1000

z(max)  =  380 $

Step-by-step explanation:

Production:

                                      Flour      yeast     Almond paste      Profit $

Bear claws B  (x₁)            6 ou       1 ou            2 TS                   0.2

Almond-filled ( x₂)          3 ou       1  ou           4 TS                   0.3

Availability                    6600      1400           4800

The Model:

z  =   0.2*x₁   +  0.3*x₂       to maximize

Subject to

1.-Quantity of flour   6600 ou

6*x₁  +  3*x₂   ≤  6600

2.-Quantity of yeast  1400 ou

1*x₁   +   1*x₂   ≤  1400

3.-Quantity of Almond paste   4800 TS

2*x₁   +  4*x₂   ≤  4800

General constraints:

x₁ ≤  0    x₂  ≤ 0   both integers

After 6 iterations using an on-line solver. Optimal solution is:

x₁  =  400    x₂  =   1000

z(max)  =  380 $