The cost C, in dollars, of renting a minivan for a day is given by the linear equation C = 0.3x + 42, where x is number of miles driven.

Find the cost renting the minivan for a day and driving it 150 miles. (2 pt)


Find and interpret the slope of this equation. (2 pt)


Find and interpret the y intercept of this equation(2 pt)

Answer:

11^3/5

Step-by-step explanation:

Fractional exponents work like so:

[tex]x^{\frac{a}{b}} = \sqrt[b]{x^a}[/tex]

Essentially, the numerator (a) of the fraction is the power and the denominator  (b) of the fraction is the root.

[tex]x^\frac{power}{root}[/tex]

We are given:

[tex]\sqrt[5]{11^3}[/tex]

The power is 3 and the root is 5. Let's substitute the values in.

[tex]x^\frac{power}{root}[/tex]

[tex]power=3\\root=5[/tex]

[tex]x^\frac{3}{5}[/tex]

x is the base. In this case, the base is 11.

[tex]11^\frac{3}{5}[/tex]

Therefore, 11^3/5 is the correct answer.

Answer:

G.

Step-by-step explanation:

cards = 2

dollars = 9

to check that the number of cards with the correct amount d;

use the ratio and proportion.

(3 x 18)/9 = 4

(4 x 31.5)/18 = 7

(7 x 45)/31.5 = 10

therefore, option G. table G. is the correct answer

try doing the ratio and proportion on the other table and the number of cards DO NOT match with the amount.  (see attached)

Answer:21

Step-by-step explanation:

Answer: The book is right, it would break down to 3x = 3.

3x - 2 = 1 so add the 2 to the other side.

3x = 3 and then you can divide both sides by 3 to get x = 1.

Sorry if I misread what you were asking

Answer: The answer should be 3x = 3.

Step-by-step explanation:

Here's why:

3x -2 = 1

First one must isolate the 3x in order to solve the problem. So, then one must add 2 to both sides, since the 2 is negative. (So if it is a -2, add it to the other side because remember, you are doing it on both sides and you have to get it to the other side).

So doing that, you get:

3x = +2 +1

3x = 3

If you want to simplify further:

3x = 3

x = 1

Answer:

A. (14 – 7)n – 55

Step-by-step explanation:

it cost $14 to make so $14 - $7 to make then you have to advertise it AFTER and it takes more money to advertise so, -55 so the answer would be:

(14 – 7)n – 55

Answer:

180+27x=p

Step-by-step explanation:

Answer:

9m - 2

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

-5m - 2(1 - 7m)

Step 2: Distribute -2

-5m - 2 + 14m

Step 3: Combine like terms

9m - 2

Answer:

Yeah I've thought of it and have an example with the year 2000 as the birth year

So 2000 In binary= 11111010000

Step-by-step explanation:

Binary numbers consist of only 0 and 1

So to convert a number to binary we divide by 2

Let's assume a birth year of 2000

Now let's convert it to binary

2000/2= 1000 R 0

1000/2= 500 R 0

500/2= 250. R 0

250/2= 125. R 0

125/2 = 62. R 1

62/2= 31. R 0

31/2= 15. R 1

15/2 = 7. R. 1

7/2= 3. R 1

3/2 = 1. R 1

1/2 = 0. R 1

Where R signifies the remainder

So we'd pick the remainder from the bottom and that becomes our binary number

So 2000 In binary= 11111010000

Answer:

8x^6y^3

Step-by-step explanation:

(2x2y)3

=8x6y3

Answer:

I think they are

|9|

|-9|

The solution of expression is,

⇒ - 2xy + 5y - 9x

We have to given that,

An expression to solve,

⇒ 4xy - 6xy + 5y - 9x

Now, We can simplify the expression by combining like terms as,

⇒ 4xy - 6xy + 5y - 9x

⇒ - 2xy + 5y - 9x

Therefore, The solution of expression is,

⇒ - 2xy + 5y - 9x

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

Answer:

Option A:

Number of seats

Step-by-step explanation:

A discrete quantitative variable is a variable that can be enumerated. This means that they are in units in which numbers can be assigned to and can be counted.

The number of seats present in the car can be counted. This feature can also be evaluated based on its numeral value, rather than its quality. In a simple form, the buyers feel that the more the number of seats present in the car, the more people it can carry. Hence, the family would love to buy a car with a good number of seats in it.

The other features in the options are rather continuous, qualitative, or boolean. Some of them are continuous because they cannot be counted e.g fuel efficiency. The others such as the presence of a sunroof can be seen as a boolean variable. (it can either be true or false)

Type of the transmission is a qualitative variable

Answer: fuel efficiency

Step-by-step explanation:

took the exam review on edg

Answer:

17.67

Step-by-step explanation:

You find the unit rate. So, 15,900 divided by 900 gives you 17.666666 (repeating). Then round to the nearest cent to get 17.67

Answer:

Step-by-step explanation:

Part A. The total length of a line segment is the sum of the lengths of its parts.

  AM +MB = AB

Substituting the given information, this equation becomes ...

  (7x +8) cm + (9x -8) cm = 128 cm

  16x = 128 . . . . . . . . . collect terms, divide by cm

  x = 128/16 . . . . . divide by the coefficient of x

  x = 8

__

Part B. Then the length of AM is ...

  AM = (7x +8) cm = (7(8) +8) cm = (56 +8) cm

  AM = 64 cm

__

Part C. The length of BM is ...

  BM = (9x -8) cm = (9(8) -8) cm = (72 -8) cm

  BM = 64 cm

__

Part D. AM = BM = 64 cm, so point M is the midpoint of AB. Point M divides the segment into two equal parts.

This question is incomplete, the complete question is;

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2 = 2x, x = 2y; about the y-axis

Answer:

V = π (512/15)

Step-by-step explanation:

Given that;

region of rotation

y² = 2x, x = 2y

Region is rotated about y-axis as shown in the image

for the point of intersection,

y²/2 = 2y

y² - 4y = 0

y(y-4) = 0

∴ y = 0, y = 4

so the region lies in 0 ≤ y ≤ 4

Now cross section area of washer is

A(y) = π(outer radius)² = π(inner radius)²

A(y) = π(2y)² - π(y²/2)²

A(y) = π(4y²) - π(y⁴/4)

A(y) = π(4y² - (y⁴/4))

now volume of the solid of revolution is

V = ⁴∫₀ A(y) dy

V = ⁴∫₀ π(4y² - (y⁴/4))dy

V =  π {4⁴∫₀ y² - 1/4⁴∫₀y⁴ dy }

V = π { 4/3 [y³]₀⁴ - 1/20 [y⁵]₀⁴ }

V = π { 4/3 [4]₀⁴ - 1/20 [4]₀⁴ }

V = π { 4/3 [64]₀⁴ - 1/20 [1024]₀⁴ }

V = π { 256/3 - 1024/20 }

V = π { (5120 - 3072) / 60 }

V = π (512/15)

Answer:

(2, -8)

Step-by-step explanation:

(x, y)=(-3, -1)

(x1+x2)/2=-3,

(y2+y2)/2=-1,

-------------------

(x1+x2)/2=-3

(y1+y2)/2=-1

---------------------

x1-8=-6

x1=2

----------

y1+6=-2

y1=-8

(2, -8)

Answer: x - 5/x + 1

Step-by-step explanation:

This algebraic fraction

The task to be performed here is factorisation and simplification. Now going by the question,

x² + 4x - 45/x² + 10x + 9, the factorisation of

x² + 4x - 45 = x² + 9x - 5x - 45

= x(x + 9 ) - 5(x + 9 )

= ( x + 9 )(x - 5 ), don't forget this is the algebraic fraction's Numerator

The second part

x² + 10x + 9 = x² + x + 9x + 9

= x(x + 1) + 9( x + 1 )

= ( x + 9 )( x + 1 ), this is the algebraic denominator.

Now place the second expression which is the denominator under the first expression which is the numerator.

( x + 9 )( x - 5 )/( x + 9 )( x + 1 ).

You can see that, ( x + 9 )/( x + 9 ) divide each other , therefore therr then cancelled and left with

x - 5/x + 1

Answer:

1. $6.00 to 95 cents  = 6.32

2. 3 hours to 35 minutes  = 5.14

3. 42 inches to 2 feet = 1.75

Step-by-step explanation:

Given

$6.00 to 95 cents

3 hours to 35 minutes

42 inches to 2 feet

Required

Express in 2 decimal places

1. $6.00 to 95 cents

Express as ratio

[tex]\$6.00 : 95\ cents[/tex]

Convert dollars to cents

[tex]6.00 * 100\ cents: 95\ cents[/tex]

[tex]600\ cents: 95\ cents[/tex]

Convert ratio to division

[tex]\frac{600\ cents}{95\ cents}[/tex]

[tex]6.31578947368[/tex]

Approximate

[tex]6.32[/tex]

2. 3 hours to 35 minutes

Express as ratio

[tex]3\ hours : 35\ minutes[/tex]

Convert hours to minutes

[tex]3 * 60\ minutes: 35\ minutes[/tex]

[tex]180\ minutes: 35\ minutes[/tex]

Convert ratio to division

[tex]\frac{180\ minutes}{35\ minutes}[/tex]

[tex]5.14285714286[/tex]

Approximate

[tex]5.14[/tex]

3. 42 inches to 2 feet

Express as ratio

[tex]42\ inches: 2\ feet[/tex]

Convert feet to inches

[tex]42\ inches:2 * 12\ inches[/tex]

[tex]42\ inches : 24\ inches[/tex]

Convert ratio to division

[tex]\frac{42\ inches}{24\ inches}[/tex]

[tex]1.75[/tex]

Answer:

B; $3.30

Step-by-step explanation:

Since $43.75 is the cost of 12 gallon tanks, you want to multiply $3.30 by 12 to compare them when they each have the same amount of gallon tanks. This gets us to $39.60 which makes B the better deal.

However, the question asks for the unit price of one gallon tank, so you would want to put $3.30.

The better deal is to buy gas $3.30/gallon because the price to fill a 12​-gallon tank of gas for ​$43.75 is ​$ 39.60 per gallon.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

It is given that You can fill a ​12 gallon tank of gas for ​$43.75 or buy gas for ​$3.30​/gallon.

Since $43.75 is the cost of 12 gallon tanks, we need to multiply $3.30 by 12 to compare them when they each have the same amount of gallon tanks.

$3.30 x 12 = 39.60

Thus, $39.60 which makes B the better deal.

However, the question asks for the unit price of one gallon tank, so we would want to put $3.30.

The better deal is to buy gas $3.30/gallon because the price to fill a 12​-gallon tank of gas for ​$43.75 is ​$ 39.60 per gallon.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2

Answer:

x=3

Step-by-step explanation:

BC= 5 ~ EC=25

And we can see that BC times 5 equals the EC value. This means that BA times 5 will equal ED.

So we can set 5 * (BC) = (ED)

5x=18-x

Then solve for x:

6x=18

x=3

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

So we are given that ΔABC and ΔDEC are similar.

In other words, AB and DE are similar. And CA and CD are also similar.

When the sides are similar, it means that their proportions are equal to the each other. Therefore:

[tex]\frac{AB}{DE}=\frac{CA}{CD}[/tex]

Substitute 30 for AB, 18 for DE, 2x-1 for CA and x+1 for CD. So:

[tex]\frac{30}{18}=\frac{2x-1}{x+1}[/tex]

Reduce the left by dividing both layers by 6. Thus:

[tex]\frac{5}{3}=\frac{2x-1}{x+1}[/tex]

Cross multiply:

[tex]3(2x-1)=5(x+1)[/tex]

Distribute:

[tex]6x-3=5x+5[/tex]

Add 3 to both sides:

[tex]6x=5x+8[/tex]

Subtract 5x from both sides:

[tex]x=8[/tex]

So, the value of x is 8.

And we're done :)

Answer:

  {30}

Step-by-step explanation:

The solution set can be written a couple of ways:

Roster: lists the elements of the set:

  x = {30}

Set builder notation: defines the elements of the set according to some rule or rules

  {x : x = 30}

The latter form can have variations that define the domain of x on the left, such as

  [tex]\{x\in\mathbb{Z}:x=30\}[/tex]

This is pronounced, "x is an element of the set of integers such that x is equal to 30." This sort of notation is more commonly used when the set is specified by an inequality or a functional relationship. You may see the colon (:) replaced by a vertical bar (|).

_____

Comment on the above notations

I don't like the notation x = {30} because the solution to the equation is a value, not a set of values. I prefer to write it as x ∈ {30}. "x is an element of the set containing 30." The "is an element of" symbol (∈) is not always available, so the equal sign is often used instead.

Complete Question

Compute the critical value  [tex]Z_{\frac{\alpha }{2} }[/tex]   that corresponds to a  96​%  level of confidence.

Answer:

The value is  [tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.04}{2} }= 2.326[/tex]

Step-by-step explanation:

From the question we are told that

    The confidence level [tex]C = 96\%[/tex]

Generally the level of significance is mathematically represented as

      [tex]\alpha = (100 -96)\%[/tex]

      [tex]\alpha = 0.04[/tex]

Now from the normal distribution table the critical value for [tex]\frac{\alpha }{2}[/tex] is

    [tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.04}{2} }= 2.326[/tex]

Answer:

none of the above

Step-by-step explanation:

the equation is supposed to be 3=2.91, 2=x, I hope you get it.

Answer:

The answer is "0.9461"

Step-by-step explanation:

Given:

[tex]\int^1_0 \frac{sin(x)}{x} dx\\\\[/tex]

[tex]\int^1_0 \frac{sin(x)}{x} dx\\\\[/tex] ≈[tex]\sum^2_{n=0}\frac{(-1)^n x^{2n+1} (-1)^n (x-1)^n}{(2n + 1)!}[/tex]

[tex]\therefore[/tex]

[tex]\to \sin x = \sum^{\infty}_{n=0} (-1)^n\frac{x^{(2n+1)}}{(2n + 1)!}[/tex]

[tex]\because \\\\ \to \frac{\sin x}{x} =\sum^{\infty}_{n=0} (-1)^n \frac{x^{2n+1-1}}{(2n+1)!}\\[/tex]

           [tex]=\sum^{\infty}_{n=0} (-1)^n \frac{x^{2n}}{(2n+1)!}[/tex]

The value is in between 0 and 1 then:

 [tex]\to \int^1_0 \frac{sin(x)}{x} = =\sum^{2}_{n=0} \frac{(-1)^n}{ (2n+1) (2n+1)!}[/tex]

The above-given series is an alternative series, and it will give an error, when the nth term is bounded by its absolute value, that can be described as follows:

[tex]\to \frac{1}{(2n+3) (2n+3)!}< 0.0001\\\\\to (2n+3) (2n+3)!> 0.0001\\\\\to n\geq 2 \\[/tex]

So,

[tex]\int^1_0 \frac{sin(x)}{x} dx\\\\[/tex] ≈[tex]1 - \frac{1}{3 \cdot 3!}+\frac{1}{5 \cdot 5!}\\\\[/tex]

                  [tex]\approx 1 - \frac{1}{3 \cdot 6}+\frac{1}{5 \cdot 120}\\\\\approx 1 - \frac{1}{18}+\frac{1}{600}\\\\\approx 1 - \frac{1}{18}+\frac{1}{600}\\\\\approx \frac{18-1}{18}+\frac{1}{600}\\\\\approx \frac{17}{18}+\frac{1}{600}\\\\\approx \frac{1700+3}{1800}\\\\ \approx \frac{1703}{1800}\\\\\approx 0.9461[/tex]

The given series is an alternative series and will give an error when the nth term is bounded by its absolute value, then the approximation summation is equal to 0.9461.

The finite series can be used as a polynomial with an infinite number of the term.

[tex]\int_{0}^{1} \dfrac{\sin x}{x} dx = \sum_{n=0}^{2} \dfrac{(-1)^{n}x^{2n+1}(-1)^{n}x^{n}}{(2n+1)!}[/tex]

Then we have

[tex]\Rightarrow \sin x = \sum_{n=0}^{\infty} (-1)^{n} \dfrac{x^{2n+1}}{(2n+1)!} \\\\\\\Rightarrow \dfrac{\sin x}{x} = \sum_{n=0}^{\infty} (-1)^{n} \dfrac{x^{2n+1-1}}{(2n+1)!}\\\\\\\Rightarrow \dfrac{\sin x}{x} = \sum_{n=0}^{\infty} (-1)^{n} \dfrac{x^{2n}}{(2n+1)!}[/tex]

Then the value is between 0 and 1, will be

[tex]\Rightarrow \int_0^1 \dfrac{\sin x}{x} = \sum_{n=0}^{2} \dfrac{(-1)^{n} }{(2n+1)(2n+1)!}[/tex]

The given series is an alternative series and will give an error when the nth term is bounded by its absolute value, then which can be described as

[tex]\Rightarrow \dfrac{1}{(2n+3)(2n+3)!} < 0.0001\\\\\\\Rightarrow (2n+3)(2n+3)! = > 0.0001\\\\\\\Rightarrow n > 2[/tex]

So,

[tex]\int _0^1 \dfrac{\sin x }{x} dx \approx 1- \dfrac{1}{3\times 3!} + \dfrac{1}{5\times 5!}\\\\\\\int _0^1 \dfrac{\sin x }{x} dx \approx 1- \dfrac{1}{3\times 6} + \dfrac{1}{5\times 120}\\\\\\\int _0^1 \dfrac{\sin x }{x} dx \approx 1- \dfrac{1}{18} + \dfrac{1}{600}\\\\\\\int _0^1 \dfrac{\sin x }{x} dx \approx 0.9461[/tex]

More about the power series link is given below.

https://brainly.com/question/14318966

Answer:

Following are the answer to the given choices:  

Step-by-step explanation:

In potion A:

The model, that will be formed can be defined as follows:

[tex]\widehat{W age} = \hat b_{0} + \hat b_{1} x Y_{rs} \epsilon done \\\\ \hat B_1 = \frac{\sum_{i=1}^{n} (W_{age}i - \widehat{W age} \times (Y_{rs} Edui - \widehat{Y_{rs}\epsilon})}{\int S_{yrs}\epsilon dre}\\[/tex]

[tex]\ the \ new \ W_{age} = 10^{-3} \times W_{age} \\\\\hat {B_{1 new}} = 10^{-3} \hat {B}\\\\ \hat{B_{0}} = \widehat{W age} -\hat {B_1} \bar{Y_{rs}\epsilon dus} \\\\\hat{B_{0 \ new}} = \widehat{W age} \times 10^{-3} - 10^{-3} \hat {B_1} Y_{rs}\epsilon dus \\[/tex]

           [tex]= 10^{-3} \hat {B_0}\\[/tex]

[tex]\hat B_{0 \ new} = 15 \times 10^{-3} \\\hat B_{1 \ new} = 0.28 \times 10^{-3} \\[/tex]

In potion B:

[tex]\ The \ new \ Y_{rs}\epsilon dus = \frac{Y_{rs} \epsilon dus}{7} \\\hat b_{1 \ new} = 7 \hat b_1\\\hat b_{ 0 \ new } = \widehat{W_{age}} - 7 \hat b_1 \times \frac{\bar Y_{rs}\epsilon dus}{7} \\\hat b_{0 \ new} = \hat B_{0}\\\hat b_{0} = 15.00 \\\hat b_{1} = 0.04 \\[/tex]

In potion C:

[tex]\ Y_{rs}\epsilon dus \ new = \frac{Y_{rs} \epsilon dus}{180} \\\\\widehat{W_{age} new} = \widehat{W_{age}} \times 10^{-2} \\\\\hat b_{1 \ new} = \hat b_{1} \times 10^{-2} \times 180 = \hat b_1 \times 1.8 \\\\\ hat b_{ 0 \ new } = 10^{-2} \widehat{W_{age}} - \hat b_1 \times 1.8 \times \frac{\bar Y_{rs}\epsilon dus}{180} \\\\[/tex]

               [tex]= 10^{-2} \ \hat B_{0}\\[/tex]

[tex]\hat b_{0 \ new} = 0.15 \\\hat b_{1 \ new} = 0.504 \\[/tex]

Answer:

When added together, the sum of the given functions have a value of -6.

Step-by-step explanation:

When we see f(-2), it means that our value of x for the f(x) function is -2. When we see g(5), it means that our value of x for the g(x) function is 5. So, let's use this information and plug it into our equation.

f(-2) + f(5) = (3(-2) - 1) + (-(5) + 6)

Multiply 3 by -2 and distribute the negative to 5.

f(-2) + f(5) = (-6 - 1) + (-5 + 6)

Subtract 1 from -6 and add 6 to -5.

f(-2) + f(5) = (-7) + (1)

Add 1 to -7.

f(-2) + f(5) = -6

So, when added, the sum of the functions is -6.