1. Michael rented a car for one day at a daily rate of $42. He also had to pay
$0.55 per mile driven, but there were no other fees. If Michael returned the.
car at the end of the day and paid $114.60, how many miles did he drive? *

Answer:

f ( x ) = $1000 - $25*x

( 40 days, $0 )

( 0 days , $1000 )

Step-by-step explanation:

Solution:-

- Every quarter Hannah receives $1000 in her account for meal plan.

- So for a quarter of a year she has $1000 to spend.

- She spends $25 on food each day; hence, an amount of $25 is deducted each day.

- We can mathematically express the amount remaining in her account after ( x ) days as follows:

                    y = f(x) = Initial deposit - (per day deduction)*x

Where,

               y: The amount remaining in Hannah's account after x days.

- The initial amount is the quarterly deposit of $1000 and per day deduction is her buying food each day for $25.

                   y= f(x) = $1000 - ($25)*x

- The thing to note is that the above function f(x) is only defined over the domain of a quarter of year i.e from the first day she receives her amount till the next deposit.

- The number of days it will take for Hannah to empty her account can be determined from finding the x-intercept or ( y = f(x) = 0 ) using the function defined above:

                    f ( x ) = 1000 - 25x = 0

                    x = 1000 / 25

                    x = 40 days

- So it will take 40 days for Hannah to empty her account. As an ordered pair it can be written as:

                    ( 40 days , $0 )  ... Answer

- The initial deposit of $1000 corroborates the y-intercept of the function defined f ( x ). Or we can evaluate the derived function at f ( 0 ):

                     f ( 0 ) = 1000 - 25*0

                     f ( 0 ) = $1000

- The ordered pair for the y-intercpet would be:

                     ( 0 days , $1000 )   ... Answer  

Answer:

hbbhhhhhggggg

Step-by-step explanation:

vgggggffffff

Answer:

In the field of economics, more specifically game theory, describes the interaction involving candidates where one cannot have an advantage over the other if the latter makes no change in their strategy - is referred to as the Nash Equilibrium.

The correct option has been inserted in the blank and underlined, please see below:

The only dominant strategy in this game is for Neha to choose Right.The outcome reflecting the unique Nash equilibrium in this game is as follows: Lorenzo chooses Right and Neha chooses Right.

Hope that answers the question, have a great day!

Answer:

r=0.96

Step-by-step explanation:

The Pearson product-moment correlation coefficient (PMCC) is a numerical value between -1 and 1 that shows the strength of the linear relationship between two variables.

Given the result of 10 hospital patients which were sampled below:

[tex]\left|\begin{array}{c|ccccccccccccc}$Patient&A&B&C&D&E&F&G&H&I&J\\$Age (X) in Years&20&25&50&30&45&60&10&15&35&70\\$B.P.(Y) in mmHg&80&85&125&90&100&135&80&70&100&140\end{array}\right|[/tex]

To determine the product moment correlation coefficient for the data, we follow the steps below:

Step 1: Find the following as it was done in the table below.

[tex]\sum{X}~,~ \sum{Y} ~,~ \sum{X \cdot Y} ~,~ \sum{X^2}~,~and \sum{Y^2}[/tex]

Step 2: Take the sum of every column to obtain:

[tex]\sum{X}=360 ~,~ \sum{Y}=1005 ~,~ \sum{X \cdot Y}=40425 ~,\\~ \sum{X^2}=16500 ~,~ \sum{Y^2}=106475[/tex]

Step 3: Use the following formula to find the PMCC.

[tex]r=\dfrac{n\cdot\sum{XY} - \sum{X}\cdot\sum{Y}}{\sqrt{\left[n \sum{X^2}-\left(\sum{X}\right)^2\right] \cdot \left[n \sum{Y^2}-\left(\sum{Y}\right)^2\right]}}[/tex]

[tex]=\dfrac{10\cdot 40425 - 360\cdot1005}{\sqrt{\left[10*16500}-\left(360\right)^2\right] \cdot \left[10*106475-\left(1005\right)^2\right]}}[/tex]

[tex]=\dfrac{42450}{\sqrt{1937265000}}\\=0.9645\\r\approx 0.96$ (correct to 2 decimal places)[/tex]

Interpretation

Since r=0.96 which is closer to 1, we conclude that there is a strong relationship between the age and the high blood pressure related deaths in the state.

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:

Given a sector of a circle with the following dimensions:

Radius of the circle =60 inches

Central Angle of the sector =30°

(a)Arc Length

Arc Length [tex]=\dfrac{\theta}{360^\circ}X2\pi r[/tex]

[tex]=\dfrac{30}{360^\circ}X2*60*\pi\\\\=10\pi\\\\=31.42$ Inches (correct to the nearest hundredth)[/tex]

(b)Area of the sector

Area of the sector [tex]=\dfrac{\theta}{360^\circ}X\pi r^2[/tex]

[tex]=\dfrac{30}{360^\circ}X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)[/tex]

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:

Answer:

546.208

Step-by-step explanation:

Let's break this down.

5 x 100 = 500

4 x 10 = 40

6 x 1 = 6

2 x 1/10 = .2

8 x 1/1000 = .008

Now, let's add to find the number.

500 + 40 + 6 + .2 + .008 = 546.208

Therefore, the number in standard form is 546.208

The final answer of Mrs. bell expression will be 546.208

What is distributive property of multiplication over addition ?

If we multiply a number by the sum of more than two, we use the distributive property of multiplication over addition.

the expanded form of a number is written as :

5 x 100 + 4 x 10 + 6 x 1 + 2 x 1/10 + 8 x 1/1000

Let's calculate it bit by bit :

[tex]\begin{aligned}5 \cdot 100 = 500\\4 \cdot10 = 40\\6 \cdot 1 = 6\\2 \cdot \frac{1}{10} = .2\\8 \cdot \frac{1}{1000} = .008\\\end{aligned}[/tex]

Now, let's add all the terms we get :

500 + 40 + 6 + .2 + .008 = 546.208

Therefore, the number in standard form of expression written by Mrs. bell is 546.208

Read more about property of addition here :

https://brainly.com/question/14391436

#SPJ2

Answer:

1/12

Step-by-step explanation:

Probability of 4 = 1/6

Probability tail = 1/2

Multiply them

Answer:

1/12

Step-by-step explanation:

Probability of 4 = 1/6

Probability tail = 1/2

1/6 x 1/2 = 1/12

Answer: They can do 56 different combinations.

Step-by-step explanation:

Answer:

D. [tex]d=\frac{C}{\pi }[/tex]

Step-by-step explanation:

C = πd

Answer:

I want brainliest!!! u promisteed

Step-by-step explanation:

1) 180-114 = 66

angle three = 66

360 = 70 + 70 + angle two + angle two

220 = angle two + angle two

angle two = 110

Answer:

40%

Step-by-step explanation:

If 3/5 = .06 are girls

that means

2/5 = .04  are boys

now

5/5 = 1 are the total children

Finally find the percentage

(.06)(100) = 60% girls

(.04)(100) = 40% boys

Answer:

graph b

Step-by-step explanation:

if you put vertical lines through all graphs (this is the vertical line test) they shouldn't pass through more than one line, but in graph B it does. So B doesn't represent a function

Answer:

the answer is graph b

Step-by-step explanation:

Answer:

indeed it is

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

distribution

5(4+3) - 4

20+15-4

=31

Answer:

19

Step-by-step explanation:

5 x 4 = 20 + 3 = 23 - 4 = 19 I hope this helps

Answer:

Mean : 66

Mode: 80

Median:70

Step-by-step explanation:

Mean: sum divided by number of numbers. So, 330 divided by 5 which is 66

Mode most occurring, so 80.

Median arrange in ascending order and find middle value, so 70

Answer:

Option (2)

Step-by-step explanation:

Equation of the circle has been given as x² + 12y + 22x + y²- 167 = 0

Now we will convert this equation into the standard equation of the circle.

x² + 12y + 22x + y² - 167 = 0

(x² + 22x) + (y² + 12y) = 167

[x² + 2(11)x] + [y² + 2(6y)] = 167

[x² + 2(11)x + (11)²- (11)²] + [y² + 2(6)y + (6)²- (6)²] = 167

[x² + 1(11)x + (11)²] - (11)² +[y² + 2(6)y + 6²] - (6)² = 167

(x + 11)² + (y + 6)²- (11)²- (6)² = 167

(x + 11)² + (y + 6)² - 121 - 36 = 167

(x + 11)² + (y + 6)² - 157 = 167

(x + 11)² + (y + 6)²- 157 + 157 = 167 + 157

(x + 11)² + (y + 6)² = 324

Therefore, option (2) will be the standard equation of the given circle.

Answer: [tex]\$8.62/\text{Pound}[/tex]

Step-by-step explanation:

Given

There is [tex]7\ kg[/tex] of ham available which costs

cost[tex]=\$\ 19/kg[/tex]

i.e.

[tex]1\ kg\ \text{costs}\ \$19[/tex]

and we know

[tex]1\ kg=2.204\ \text{pound}[/tex]

So, [tex]2.204\ \text{Pound costs}\ \$19[/tex]

thus [tex]1\ \text{Pound costs}\ \dfrac{19}{2.204}=\$8.62/\text{Pound}[/tex]

Answer:

There are going to be 7 sections in the path

Step-by-step explanation:

First Step:

Simplify 2/16 in 1/8

Second Step:

Since the path is 7/8 of a mile long, and the sections are 1/8 of a mile long. There will be 7 sections because 1/8 will go into 7/8 7 times.

Answer:

3p + q =7

2p - 2q = -6

6p +2q = 14

2p -2q = -6

8p = 8

p = 1

so q = 4

Step-by-step explanation:

Answer:

P= 1, q= 4

Step-by-step explanation:

3p + q = 7 -------------(1)

q=7-3p ------------------(1a)

2p- 2q= -6 -------------(2)

Substitute (1a) in (2)

We have :

2p - 2( 7- 3p) = -6

2p -14 + 6p = -6

8p= 14-6= 8

P= 8/8 =1

From, q=7 -3(1)

q= 7-3

q= 4

Answer:

[tex]12.56m[/tex]

Step-by-step explanation:

[tex] \frac{180}{360} \times 2\pi \: r \\ \frac{1}{2} \times 2 \times \pi \times 4 \\ = 12.56m[/tex]

Answer:

this answer is attached to the picture

Answer:

We're comparing the number of urban people who use public transportation to the total number of Urban people. So the answer would be 22/62, which is A. ~0.355.

Step-by-step explanation:

hope it helps ig

Answer:

  y -4 = 3(x +1)

Step-by-step explanation:

The point-slope form of the equation of a line with slope m passing through point (h, k) is ...

  y -k = m(x -h)

Your values for these parameters are ...

  m = 3

  (h, k) = (-1, 4)

Filling these into the form gives the equation you're looking for:

  y -4 = 3(x +1)

Answer:

  37

Step-by-step explanation:

Before her uncle's gift, Marie had 14 fewer than 51 shark teeth:

  51 -14 = 37

Marie had 37 shark teeth.

Answer:

  40 in³

Step-by-step explanation:

You want the volume of a cone if the volume of a cylinder with the same radius and height is 120 in³.

The formulas for the volume of a cylinder and cone are ...

  V = πr²h . . . . . volume of a cylinder with radius r and height h

  V = 1/3πr²h . . . . . volume of a cone with radius r and height h

If the volume of the cylinder is such that ...

   πr²h = 120 in³,

we can substitute for πr²h in the formula for the volume of the cone:

  V = 1/3πr²h = 1/3(120 in³) = 40 in³

The volume of the cone is 40 in³.

For this equation you simply have to graph it.

First, you have to remember that these equations follow a formula: y=mx+b. m is the slope of you line and b is the y-intercept.

Next, you need to graph it. First, graph your b, in this case 2. You would go up 2 on you graph (graph (0,2)). Then, you would graph your slope which is 3.

Now, remember that slope equals y/x, so think of the number 3 being like 3/1. You would start at (0,2) and go up 3 points in the graph, then over 1 point (graph where you end up). You repeat that from each new point you make until you have enough points to create a straight line.

Hope this helps a bit,

Answer:

(4, -25)

Vertex form: (h, k)

Answer:

Hey!

Your answer is (4, -25) in the vertex form which is (h,k)

Step-by-step explanation:

HOPE THIS HELPS!!

Answer:

The matrix that represents the system of equations is:

[tex]\left[\begin{array}{ccc}0&1&10\\4&-5&3\end{array}\right][/tex]

Step-by-step explanation:

We will use the first column for x, the second to y and the last for the independent term.

We have:

[tex]y=10\rightarrow0x+1y=10\\\\4x-5y=3[/tex]

Then, we can write the matrix to represent the system of equations as:

[tex]\left[\begin{array}{ccc}0&1&10\\4&-5&3\end{array}\right][/tex]