c) If the speed of the car is tripled, what will happen to the time taken?

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

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Answer:

As you can see when you list out the factors of each number, 11 is the greatest number that 11 and 33 divides into.

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

11 is a factor of 11 and 33

$2010.458 is her new balance after she makes one new transaction for $51.

What does a credit balance mean?

The amount that the credit card company owes you is shown as a credit balance on your billing statement. Each payment you make results in credits being added to your account.

                                   When you return something you purchased with your credit card, you can receive an additional credit.

Credit balance  = $1,603

   APR = 28.6%

        = 28.6%  * $1,603

         =   458.458

Credit balance  = $1,603 + 458.458

                        = $2061.458

  net balance =  $2061.458 - 51

                      = $2010.458

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Answer:

y = -3x-5

Step-by-step explanation:

The equation for a slope is y = mx + b.

m = slope (in this case -3)

b = y-intercept (in this case -5)

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

let's notice that between 11:05 and 11:08 there are 3 minutes, so we can take 11:05 as the 0 minutes and then 3 as 3 minutes later, so

\(\begin{array}{|cc|ll} \cline{1-2} \stackrel{x}{minutes}&\stackrel{y}{feet}\\ \cline{1-2} 0&8000\\ 3&5400\\ \cline{1-2} \end{array}\hspace{5em} (\stackrel{x_1}{0}~,~\stackrel{y_1}{8000})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5400}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5400}-\stackrel{y1}{8000}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{0}}} \implies \cfrac{ -2600 }{ 3 } \implies - \cfrac{2600 }{ 3 }\)

the slope is negative, because f(x) is decreasing as "x" is increasing.

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:

\(34\frac{1}{5}\)

Step-by-step explanation:

\(\frac{45}{100}*76\)

\(\frac{171}{5} = 34\frac{1}{5}\)

Answer:

Step-by-step explanation:

babababa

The total amount paid by the customer will be $32,262.5 and the amount of the interest will be $ 2,262.5.

APR on a credit card is the way of saying that the interest you are charged over a year is equal to roughly of your balance.

Suppose you walk in to buy a $30,000 car, and you are able to put $3,000 down.

Your dealer initially offers $3,000 for your trade.

You couldn't get to your bank in time, so you finance through the dealer.

They are currently able to offer you a 4% interest rate for 48 months.

After the down payment, the amount will be

P = $ 27,000

r = 4% = 0.00333

n = 48 months

Then the cost of the monthly payment will be

\(\rm MP = P r \times \dfrac{(1+r)^n}{(1+r)^n - 1}\\\\MP = 27000 \times 0.0033 \times \dfrac{(1 + 0.0033)^{48}}{(1+0.0033)^{48} - 1}\\\\MP = 609.63\)

Then the total amount paid by the customer will be

Total amount = 3000 + 609.63 × 48

Total amount = $ 32,262.5

Then the amount of the interest will be given as

Interest amount = $32,262.5 - $30,000

Interest amount = $ 2,262.5

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The time it takes the bicycle to travel along the road is 20 seconds.

The rate of change of position of an object in any direction is called as Speed.

The formula for speed is Distance divided by Time.

So Time = distance / speed

we need to know the distance the bicycle travels to use this formula.

If we have this distance, we can divide it by the speed of 5 m/s to find the time.

Let the distance is 100 meters, then the time taken is:

time = distance / speed = 100 / 5 = 20 seconds

Hence, the time it takes the bicycle to travel along the road is 20 seconds.

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The complete question is given below:

A bicycle travels along with the road at an average speed of 5 m/s work out the time it takes the bicycle to travel along the road of distance 100 meters.

Give your answer in seconds

Answer:

a. C(1,000) = 420,491.11

b. c(1,000) = 420.49

c. dC/dx(1,000) = 429.72

d. x = 900

e. c(900) = 420

Step-by-step explanation:

We have a cost function for x units written as:

\(C(x) = 54,000 + 240x + 4x^{3/2}\)

a. The total cost for x=1000 units is:

\(C(1,000) = 54,000 + 240(1,000) + 4(1,000)^{3/2}\\\\C(1,000)=54,000+240,000+4\cdot 31,622.78\\\\C(1,000)=54,000+240,000+ 126,491.11 \\\\C(1,000)= 420,491.11\)

b. The average cost c(x) can be calculated dividing the total cost by the amount of units:

\(c(1,000)=\dfrac{C(1,000)}{1,000}=\dfrac{ 420,491.11 }{1,000}= 420.49\)

c. The marginal cost can be calculated as the first derivative of the cost function:

\(\dfrac{dC}{dx}=240(1)+4(3/2)x^{3/2-1}=240+6x^{1/2}\\\\\\\dfrac{dC}{dx}(1,000)=240+6(1,000)^{1/2}=240+6\cdot 31.62=429.72\)

d. This value for x, that minimizes the average cost, happens when the first derivative of the average cost is equal to 0.

\(c(x)=\dfrac{C(x)}{x}=\dfrac{54,000+240x+4x^{3/2}}{x}=54,000x^{-1}+240+4x^{1/2}\\\\\\ \dfrac{dc}{dx}=54,000(-1)x^{-2}+0+4(1/2)x^{-1/2}=0\\\\\\\dfrac{dc}{dx}=-54,000x^{-2}+2x^{-1/2}=0\\\\\\2x^{-1/2}=54,000x^{-2}\\\\\\x^{-1/2+2}=54,000/2=27,000\\\\\\x^{3/2}=27,000\\\\\\x=27,000^{2/3}=900\)

e. The minimum average cost is:

\(c(900)=54,000(900)^{-1}+240+4(900)^{1/2}\\\\c(900)=60+240+120\\\\c(900)=420\)

Answer:

id say twice or one-third but im pretty stuiped so..

Step-by-step explanation:

A two-column proof to show that m∠3 + m∠6 = 180° should be completed with the statements and reasons stated below.

In Mathematics and Geometry, the consecutive interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the interior angles that are formed are congruent and each pair of the consecutive interior angles is supplementary.

In this context, a two-column proof to show that m∠3 + m∠6 = 180° should be completed with the following statements and reasons;

Statement                                                Reasons

l║n                                                           Given

∠6 and ∠7 are linear pair                 consecutive interior angles theorem  

∠3 ≅ ∠7                                                Definition of linear pair  

m∠3 + m∠6 = 180°                                Substitution property

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Answer:

Step-by-step explanation:

When it's clear, the easiest way to do the problem is to used the x and y  intercepts.

This question is one of the clear one.

The x intercept is 2,0

The y intercept is 0,1

You want the slope.

m = (y2 - y1)/(x2 - x1)

y2 = 1

y1 = 0

x2 = 0

x1 = 2

m = (1 - 0)/(0 - 2)

m = 1 / -2

m = -1/2

In this case the slope and gradient have the same value --   - 1/2 or - 0.5

Answer:

It Is The 3rd Choice, Y = -1/4( 4x - 8)

Step-by-step explanation:

This Is Becuase -1/4 times 4x is -1x which is negative x. Then -1/4 times -8 is 2.

Do not listen to the answer below it is wrong.

Answer:

C

Step-by-step explanation:

I got it right on edge

Part A :

Yes, the statement is true that  P( A and B ) = 0 .

Given,

Event A and Event B are mutually exclusive.

Thus P ( A and B ) = 0

Part B:

A and B are mutually exclusive events if they do not occur at the same time.

This means that A and B do not share any common outcomes and

P(A and B) = 0.

Part C:

Let,

The sample space W = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Let A = {1, 2, 3, 4, 5}, Y = {4, 5, 6, 7, 8}, and B = {7, 9}.

A and B do not have any numbers in common so P(A and B) = 0.

Hence, A and B are mutually exclusive.

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Answer:

If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

The fact which helps to prove the isosceles theorem is; The base angles of an equilateral triangle have equal measure.

Isoscelles triangles in plane shape concept are characterized by two equal sides.

On this note, similarly in equilateral triangles, 2 sides are equal ( although, all sides of an equilateral triangle are equal).

Ultimately, the statement which helps to prove the isosceles triangle theorem is therefore; The base angles of an equilateral triangle have equal measure since all the two sides are equal as in isoscelles triangles too.

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Answer:

15 + 1.50n = cost of one pizza

Step-by-step explanation:

Hope I helped.

When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.

An array is a set of objects or values that are organized in a specific order. It is used in programming, mathematics, and other fields to make data manipulation and analysis easier.

When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.

For example, if a set of squares is arranged in a random or disorganized manner, it cannot be considered an array because it does not meet the orderly requirement. Additionally, if the number of squares in each row or column is different, it cannot be considered an array because it does not meet the uniformity requirement.

Overall, it is important to remember that an array is a specific type of organization and cannot be applied to any random set of objects or values.

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Answer:

24.50 after he bought the rickets

Step-by-step explanation:

36.75=3x

divide both sides by 3

12.25 = x

then subtract 36.75 - 12.25 = 24.50

hope this helps

Maria have to spend $ 45.95 less than what she spends now in order to save $ 70 per month.

Hence the correct option is (A).

From the given Maria's Income Statement we can see that,

Her total income from Fast food Restaurant = Gross Pay + Allowance = $ 580 + $ 50 = $ 630.

Total deductions by taxation = Federal Income Tax + State Income Tax + Social Security Tax = $ 58 + $ 16 + $ 24.36 = $ 98.36

So here net income = $ (630 - 98.36) = $ 531.64.

Here total expenses = Auto + Clothing + Food + Entertainment + Other = $ 290.02 + $ 92.29 + $90.28 + $ 32 + $ 3 = $ 507.59

So Her Savings = Net Income - Total Expenses = $ 531.64 - $ 507.59 = $ 24.05.

Now in order to save $ 70 per month Maria has to spend = $ 70 - $ 24.05 = $45.95 less than she spend now.

Hence the correct option will be (A).

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Answer: 24. The remainder is 7

Step-by-step explanation:

The best way to solve an equation of the form Ax+by=c could be either substitution, completing the squares or graphical method depending on the type of equation given.

Quadratic equation

The equation in the form Ax+by=c is a quadratic problem which could be approached in different ways depending on the specific equation given and the information provided.

The methods of approach are substitution, completing the squares or graphical method which all have proven to be suitable ways to arrive at the solution.

Hence, either of the three methods are good ways to solve such equation.

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Answer:I think it is a

Step-by-step explanation:

Answer:

Graph a) is a Euler Path

Odd at D and F

Step-by-step explanation:

A graph has an Euler circuit if and only if the degree of every vertex is even.

A graph has an Euler path if and only if there are at most two vertices with odd degree.

a) Odd at D and F - Euler Path

b) No odds - Euler Circuit

c) Odd at A, C, E, F

d) Odd at A, B, C, D

The equation of a line that has a slope of 3 and passes through (8, 9) will be y = 3x - 15.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

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

The slope of the line is 2. Then the equation is written as,

y = 3x + c

The equation is passing through (8, 9). Then the value of c will be

9 = 3(8) + c

9 = 24 + c

c = - 15

Then the equation will be given as,

y = 3x - 15

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Answer:

2, -2

Step-by-step explanation:

i have already learned this

Answer:

(-2 , -2)

Step-by-step explanation:

Answer:

A, C,D,E,F

Step-by-step explanation:

Answer:

\(y=\left|\dfrac{1}{2}x-\dfrac{5}{2}\right|+3\)

Step-by-step explanation:

Given equation:

\(y=\left|\dfrac{1}{2}x-2\right|+3\)                            

Translation

\(f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}\)

When translating a graph to the right, subtract the number of units from the x variable.

Translating the given graph one unit to the right:

\(f(x-1) \implies y=\left|\dfrac{1}{2}(x-1)-2\right|+3\)

Simplifying:

\(\implies y=\left|\dfrac{1}{2}(x-1)-2\right|+3\)

\(\implies y=\left|\dfrac{1}{2}x-\dfrac{1}{2}-2\right|+3\)

\(\implies y=\left|\dfrac{1}{2}x-\dfrac{5}{2}\right|+3\)

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