Nakeisha's family took a road trip to Mount Rushmore. Nakeisha fell asleep 18% of the way through the trip. If the total length of the trip was 400 miles, how many miles had they travelled when Nakeisha fell asleep?

The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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Calista's grade on her last assignment is 98.

To determine Calista's grade on her last assignment, we can calculate the average grade using the given information.

The sum of Calista's grades on the first five assignments is: 62 + 88 + 92 + 74 + 78 = 394.

Since the average grade is given as 82, we can find the total sum of all six assignments by multiplying the average grade by the number of assignments, which is 6: 82 * 6 = 492.

To find Calista's grade on her last assignment, we subtract the sum of her grades on the first five assignments from the total sum: 492 - 394 = 98.

To determine Calista's grade on her last assignment, we can calculate the average grade using the given information.

The sum of Calista's grades on the first five assignments is: 62 + 88 + 92 + 74 + 78 = 394.

Since the average grade is given as 82, we can find the total sum of all six assignments by multiplying the average grade by the number of assignments, which is 6: 82 * 6 = 492.

To find Calista's grade on her last assignment, we subtract the sum of her grades on the first five assignments from the total sum: 492 - 394 = 98.

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Answer:

(310 − 10) ÷ 15 = s

Step-by-step explanation:

Number of students s:

After s students have had 15 candies each there are 10 left, so

the total number of pieces given to the students = 300 .

We therefore have the equation:

s = (310- 10) / 15

which can be written as

(310 − 10) ÷ 15 = s.

Answer:

15/22

Step-by-step explanation:

3/11 divided by 2/5 is basically 3/11 multiplied by 5/2
This happens because of reciprocals

3/11*5/2 Cross multiply (For this problem nothing can cancel out)

15/22 Cannot be simplified

Sorry I tried my best to do it in numbers! It's hard to not explain without words! :)

Answer:

Step-by-step explanation:

(A)

(i) The optimal price you should post for each of LP and LH is in two combinations:

COMBINATION 1:

$600 for LP and $300 for LH

This combination fetches you $900 (which is the maximum you can earn in this scenario, because each buyer will only buy 1 type of link)

COMBINATION 2:

$500 for LP and $400 for LH

This combination also fetches you $900 revenue.

Why these price combinations? Because you have two constraints:

1. Each buyer is only interested in 1 unit of 1 link type

2. You as a producer or seller, wish to maximize revenue

These are the constraint functions!

(ii) At Price Combination 1,

Mr. A will purchase 1 unit of LP while Mr. B will purchase 1 unit of LH

At Price Combination 2,

Mr. A will purchase 1 unit of LH while Mr. B will purchase 1 unit of LP

(B)

(i) If you could identify each buyer and make targeted offers (offers targeted at each buyer's WTP) you would offer their maximum WTP price to them for each commodity.

That's the 'economic agent' way of thinking; to bargain favourably or in your own case, to maximize revenue.

So, you'll charge Mr. A $600 for LP and $400 for LH

Charge Mr. B $500 for LP and $300 for LH

(ii) Although you thought economically, this particular set of potential customers are price-driven instead of taste-driven so instead of them to purchase LP which is generally more expensive (or of a higher quality), each of them would buy LH!

Your revenue here will now be $400 + $300 = $700

Answer:11

Step-by-step explanation:

Since Amy is determining the difference between the number of butterflies she saw in the past 4 months (figure A) and this month (figure B), her next step is to subtract figure A from figure B.

The difference between the two figures or numbers is the result of a subtraction operation.

A subtraction operation, which is one of the four basic mathematical operations, involves the minuend, subtrahend, and difference, using the minus sign (-) and the equal symbol (=).

Thus, Amy's next step is a subtraction operation to find the difference.

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Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

\(\sqrt{3}\) x   IS equivalent to   x \(\sqrt{3}\)

\(\sqrt{3x}\)    is NOT equivalent to  x \(\sqrt{3}\)

Answer:

40% probability

Step-by-step explanation:

First, you need to look at the sample space or number of outcomes:

The sample space, or number of outcomes, is 5

If you randomly select one marble and then select another marble after replacing it, you are taking out 2/5 of the marbles in the jar.

1/5 2/5 3/5 4/5 5/5

2/5 can be converted into a percentage by turning it into a decimal:

.4 can be converted into a percentage

This leaves you with the probability being 40%

Answer: it’s 30%

Step-by-step explanation:

According to the information, the vertex at the top left of the parallelogram is (4, 8.25). Thus, the other two vertices of the parallelogram are (2, 5), (9, 5), (7, 8), and (4, 8.25).

To find the vertex of the parallelogram we can use the point-slope form of a line: y - y1 = m(x - x1), where,

For the side sloping up from left to right, we can use the point (2, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

Simplifying, we get:

To find the point where this line intersects the top side of the parallelogram, we can use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (2, 5) is 5 units away from the intersection point in the x-direction, so we can add 5 to the x-coordinate to find the intersection point. Plugging in x = 7 into the equation above, we get:

Therefore, the vertex at the top right of the parallelogram is (7, 8).

For the side sloping down from left to right, we can use the point (9, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

Simplifying, we get:

To find the point where this line intersects the top side of the parallelogram, we can again use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (9, 5) is 5 units away from the intersection point in the x-direction, so we can subtract 5 from the x-coordinate to find the intersection point. Plugging in x = 4 into the equation above, we get:

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On graph B, the group of birds seems to have twice as much as the group of mammals.

The change in scale on the y-axis from 50 to 85 in increments of 5 in Graph A to 0 to 80 in increments of 10 in Graph B makes the differences between the groups appear larger in Graph B.

As a result, the height of the bar for birds is approximately twice as much as the height of the bar for mammals in Graph B, which may not be apparent in Graph A.

Therefore, the correct option is (a) On graph B, the group of birds seems to have twice as much as the group of mammals.

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a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.

b. Super Vision raises the rates 23% after a new customer's first year,  a customer who switched from Super Vision save $180 in the second year.

c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.

a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.

Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:

$46 (home phone) + $36 (Internet) + $56 (cable television) = $138

Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:

$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month

Therefore, during the first year, the customer could save:

$38 (monthly savings) * 12 (number of months) = $456

b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:

$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123

To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month

Therefore, in the second year, the customer would save:

$15 (monthly savings) * 12 (number of months) = $180

c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:

$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14

To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14

In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.

Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.

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Answer:

27.5 years old

Step-by-step explanation:

We are given the formula: \(P=0.006A^{2} -0.02A+120\) relating a patient's pressure to age.

We are also given the value for pressure (P) as 124 mmHg and need to find age (A). In order to do this, we can substitute the value 124 for P in the equation and solve the quadratic equation to obtain A:

\(124=0.006A^{2} -0.02A+120\)

1. Set equation to 0 by subtracting 124 from both sides:

\(124-124=0.006A^{2} -0.02A+120-124\\= > 0.006A^{2} -0.02A-4=0\)

2. Solve equation using a calculator:

It should give the solutions: \(A= 27.54, -24.2\)

It doesn't really make sense for someone's age to be negative, therefore we can accept the positive solution as our answer.

The man whose normal blood pressure measures 124 mmHg is 27.5 years old.

Hope this helped!

Answer:

Is this your homework?.

Answer:

x > -5, so the correct answer is C.

Answer:

green line or "b"

Step-by-step explanation:

we can set this up into the slope intercept form

y=mx+b

where m is the slope and b is y intercept

12=3x+4y

-3x -3x

-3x+12=4y

/4.  /4.  /4

-3/4x+3=y

we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"

hopes this helps please mark rainliest

Answer:

Step-by-step explanation:

Answer:

A^n = [4^n 4^n

0 1]

Step-by-step explanation:

To find the solution for the 2x2 matrix A:

[4 4

0 1] to the nth power = [ ]

We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:

A^1 = [4 4

0 1]

Now, let's solve for A^2 by multiplying A^1 by A:

A^2 = A x A^1

= [4 4 [4 4

0 1] 0 1]

= [16 16

0 1]

Next, let's solve for A^3:

A^3 = A x A^2

= [4 4 [16 16

0 1] 0 1]

= [64 64

0 1]

We can see a pattern emerging:

   A^1 = [4 4

   0 1]

   A^2 = [16 16

   0 1]

   A^3 = [64 64

   0 1]

We can generalize this pattern as follows:

A^n = [4^n 4^n

0 1]

Therefore, the solution for the 2x2 matrix A raised to the nth power is:

A^n = [4^n 4^n

0 1]

Answer:

10 weeks

Step-by-step explanation:

1 because 20 times 10 is 200 and if he starts with 500 then he can withdraw 20 dollars a week for 10 weeks to have 300 left by the end of the summer, hope this helps :)

Answer:

95% = Within two standard deviations from the mean

99.7% = Within three standard deviations from the mean

68% = Within one standard deviation from the mean

Step-by-step explanation:

I hope this helped! If it did, please click "Thanks" to help me out!

Given,

ƒ(x) = 0 for 0 ≤ x < 4

ƒ(x) = 3 for 4 ≤ x < 8

ƒ(x) = 6 for 8 ≤ x < 12

To select the graph of the given piecewise function.

The solid circle represents the inclusion of the point. Similarly, the hollow circle represents the exclusion of the point.

Option A:

It can be observed in option A that the circles are represented properly and the function is properly shown in the respective interval.

As a result, option A is correct.

Option B:

It can be observed that option B does not follow the proper circle for denoting the endpoints of the interval.

As a result, option B is incorrect.

Option C:

The radius of the base of the vase in cm to 2 dp is 0.08m

The formula for calculating the pressure of a object is expressed as;

Pressure = Force/Area

Area = Force/Pressure

Area = 15/750

Areas = 0.02m²

Since the area of the circular base is πr², then;

πr² = 0.02

r² = 0.02/3.14

r = 0.0798m

Hence the radius of the base of the vase in cm to 2 dp is 0.08m

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Solution:

If the outer diameter is 7, then the outer radius is b=7/2.

On the other hand, if the inner diameter is 3, then the inner radius is a= 3/2.

Now, the surface area of a torus (glazed donut) with inner radius a and outer radius b is given by

Then, applying the data of the problem to the above equation, we can conclude that the surface area of the given glazed donut would be:

so that, the correct answer is:

Answer: $25.46

Step-by-step explanation:

Year 1 FCFE = 1.8 * (1 + 10%) = $1.98

Year 2 FCFE = 1.98 * 1.1 = $2.18

Year 3 FCFE = 2.178 * 1.1 = $2.40

Year 4 FCFE = 2.3958 * 1.05 = $2.52

Year 5 FCFE= 2.51559 * 1.05 = ‭2.64

Terminal Value = (2.64 * 1.03) / (12% - 3%)

= $30.21

Now discount all these cashflows to find the value:

= (1.98 / 1.12) + (2.18 / 1.12²) + (2.40 / 1.12³) + (2.52 / 1.12⁴) + (2.64 / 1.12⁵) + (30.21 / 1.12⁵)

= $25.46

Answer:

All of these

Step-by-step explanation:

Given

\(f(5) = 11\)

\(f(x)\) at \((5,11)\)

Required

Interpret

\(f(5) = 11\) mean that: the function is at \((5,11)\)

In other words:

\(x = 5; y = 11\)

It also means:

Substitute 5 for x and the result will be 11

Hence, all options are true

Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

                                       =26/52

                                       = 1/2

Answer:

Negative

Step-by-step explanation:

Lets assume that B is 0.8 and C is -1.8.

0.8/-1.8 is approx. -0.44 which is a negative