Part A: Abe rented a bike at $36 for 5 days. If he rents the same bike for 8 days, he has to pay a total rent of $48.

Write an equation in the standard form to represent the total rent (y) that Abe has to pay for renting the bike for x days. (4 points)

Part B: Write the equation obtained in Part A using function notation. (2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

(10 points)

Answers

Answer 1

Part A: Equation is: 48=m(8)+b Part B: Notation form is 48^x=m(8)+b

Related Questions

Maya is showing her work in simplifying (5.2 − 4.5) − 5.5 + 4.8. Identify any error in her work or reasoning.

Answers

if putting 5.2 and 4.5 in fraction form, her error must have been timing 3 by 3 to 5.2 and 4.5 as a fraction. Meaning that 5.5 and 4.8 is wrong

suppose Marcus delivers papers at a rate of 9 papers in 18 minutes. How much longer would it take him to deliver 100 papers and 72 papers? justify your response.

Answers

Hello! So, when we find the unit rate by doing 18/9, Marcus delivers 1 paper every 2 minutes. To find out how long it take him to deliver 72 papers and 100 papers, multiply by the unit rate, which is 2. 72 * 2 is 144. It would take 144 minutes (2 hours 24 minutes) to deliver 72 papers. 100 * 2 is 200. It would take 200 minutes (3 hours 20 minutes) to deliver 100 papers. You find this by finding the unit rate, which is 1 paper delivered every 2 minutes. Then, we multiply the number of minutes by the number of papers dropped off. In case you need to read the answers better, here they are.

Amount of time to deliver:

72 papers: 144 minutes (2 hours 24 minutes)

100 papers: 200 minutes (3 hours 29 minutes)

Calculate the quotient and remainder of –111 divided by 11. (quotient, remainder)

Answers

quotient 10 remainder :1

Final answer:

The quotient of –111 divided by 11 is –10, and the remainder is –1. We obtain this by dividing –111 by 11 and then finding the difference between the product of the quotient and 11 and –111.

Explanation:

To calculate the quotient and remainder of –111 divided by 11, we perform the division as follows:

Divide –111 by 11 to find the quotient. Since 111 is divisible by 11, the quotient is –10.To find the remainder, we calculate –10 multiplied by 11, which is –110, and subtract it from –111. The difference is –1, so the remainder is –1.

Therefore, the quotient is –10 and the remainder is –1.

Is the difference of 1.48-0.25 less than or greater than one explain

Answers

Greater because it's 1.23 so
1 < 1.23

Jake is comparing the prices of two mattress cleaning companies. Company A charges $30 per mattress and an additional $13 as service charges. Company B charges $28 per mattress and an additional $15 as service charges.

Part A: Write an equation to represent each company's total charges for cleaning a certain number of mattresses. For both equations (one for Company A and one for Company B), define the variable used. (4 points)

Part B: Which company would charge less for cleaning 4 mattresses? Justify your answer. (3 points)

Part C: How much money is saved by using the services of Company B instead of Company A to clean 7 mattresses? (3 points)

Answers

A)
y= total charges
x=number of mattresses
Company A: y=$30x+13 Company B: y=$28x+15

B)
plug x=4 into both equations to get
A: y=30(4)+13=$133
B: y=28(4)+15=$127
Company B charges less because 127<133

C)
Plug in 7 for x
A: y=30(7)+13=$223
B: y=28(7)+15=$211
A-B=223-211
=$12 Saved

If you were to spin the spinner below, what would be the probability of landing on green or purple?
you have 1/4 one is purple another orange and the other two green

Answers

Final answer:

The probability of landing on green or purple on the spinner is 3/4, or 75%.

Explanation:

To determine the probability of landing on green or purple when spinning a spinner that has 1/4 of its sections as purple, another 1/4 as orange, and the remaining two quarters green, you would simply add the probability of landing on each of those colors since they are mutually exclusive events. The probability of landing on purple is 1/4 and the probability of landing on green is 2/4 since there are two quarters of the spinner that are green.

We calculate the probability as follows:

Probability of landing on purple = 1/4Probability of landing on green = 2/4 or 1/2

To find the combined probability of landing on green or purple, you add the two probabilities together:

Probability of landing on green or purple = Probability of purple + Probability of green

Probability of landing on green or purple = 1/4 + 1/2

Probability of landing on green or purple = 1/4 + 2/4

Probability of landing on green or purple = 3/4

Thus, the probability of landing on green or purple is 3/4, which means there is a 75% chance of the spinner landing on either of these colors.

Ordering numbers from greatest to least is called putting them in _____ order.

Answers

order because is to greatest to leats

Ordering numbers from greatest to least is known as putting them in descending order. This organization method is a form of emphatic order, which could also be the answer if the context relates to emphasizing the importance of the items being ordered rather than their numerical value.

Ordering numbers from greatest to least is called putting them in descending order. When we arrange objects based on the level of importance or magnitude, this is often referred to as emphatic order, which prioritizes items from least to most important or vice versa. In mathematics, specifically, when numbers are organized from the largest to the smallest, they are said to be in descending order, which is the opposite of ascending order, where numbers are arranged from smallest to greatest.

There are various ways in which ideas, objects, or numbers can be ordered. For example, chronological order refers to presenting events in the sequence they happened in time, whereas sequential order is similar but can apply to any sequence of actions or items, not just those related to time. Conversely, spatial order involves the arrangement of items as they are placed in space.

In the context of your question, when asked to rank objects by their distance from the origin, a descending order would start with the object that is farthest away (largest distance) and end with the object that is closest to the origin (smallest distance).

Find the particular solution of the differential equation \frac{dy}{dx} + y\cos(x) = 5\cos(x)

Answers

[tex]\dfrac{\mathrm dy}{\mathrm dx}+y\cos x=5\cos x[/tex]
[tex]e^{\sin x}\dfrac{\mathrm dy}{\mathrm dx}+y\cos xe^{\sin x}=5\cos xe^{\sin x}[/tex]
[tex]\dfrac{\mathrm d}{\mathrm dx}\left[e^{\sin x}y\right]=5\cos xe^{\sin x}[/tex]
[tex]e^{\sin x}y=5\displaystyle\int\cos xe^{\sin x}\,\mathrm dx[/tex]
[tex]e^{\sin x}y=5e^{\sin x}+C[/tex]
[tex]y=5+Ce^{-\sin x}[/tex]

You have deposited $800 in a savings account, which pays three percent interest compounded quarterly. Find the amount in the account for 5 years

Answers

$928.95
You take $800 and multiply it by 0.0075 which is 1/4 of 3% since there are 4 quarters per year. Every time you multiply it you add the previous number and you have to do this 20 times since there are 20 quarters in 5 years. For example, 800 x 0.0075 = 6 + 800 = 806 x 0.0075 = 6.045 + 806 = 812.045 x 0.0075 = 6.0903375 + 812.045 = 818.1353375 and you just keep doing thing until you reach your total amount of quarters. Then you just round your decimal point to the hundredth place.

Examine the function for relative extrema and saddle points. (if an answer does not exist, enter dne.) h(x, y) = x2 − 9xy − y2

Answers

The given function is
h(x,y) = x² - 9xy - y²

Calculate partial derivatives.
[tex]h_{x} = 2x \\ h_{xx} = 2 \\ h_{y} = -2y \\ h_{yy} = -2 \\ h_{xy} = 0 [/tex]
For the critical points,
[tex]h_{x} = 2x=0 \, \Rightarrow \, x=0 \\h_{y}=-2y=0 \,, \Rightarrow \, y=0[/tex]

To perform a test for a saddle point, calculate
[tex]D = h_{xx}(0,0) h_{yy} (0,0) -[ h_{xy}(0,0)]^{2} = (2)(-2) - (2)^{2} = -8[/tex]
Because D < 0, a saddle point exists at (0,0).

If you fly from Los Angeles California to Miami Florida. the plane travels a distance of 3772 km in the air. the flight takes 6 hours and 15 minutes. what is the playing the average speed?

Answers

3772 Km divided by 6 hours and 15 minutes (375 minutes) = 10.05866666666667 per minute multiply my 60 =603.52 miles /hr average speed.

Explain what it means to have a correlation in a scatterplot.

Answers

Correlation is used to show trends in a scatter plot

The following are the possible correlation types in a scatter plot

Positive correlationNegative correlation

When the x value and the y values increase at the same time, then the correlation is positive.

However, when the x value and the y values increase at the same time, then the correlation is negative.

Answers

[tex]z=\sin\theta\cos\phi[/tex]
[tex]\theta=st^5[/tex]
[tex]\phi=s^7t[/tex]

[tex]\dfrac{\partial z}{\partial s}=\dfrac{\partial z}{\partial\theta}\dfrac{\partial\theta}{\partial s}+\dfrac{\partial z}{\partial\phi}\dfrac{\partial\phi}{\partial s}[/tex]
[tex]\dfrac{\partial z}{\partial s}=\cos\theta\cos\phi t^5-\sin\theta\sin\phi (7s^6t)[/tex]
[tex]\dfrac{\partial z}{\partial s}=t^5\cos(st^5)\cos(s^7t)-7s^6t\sin(st^5)\sin(s^7t)[/tex]

[tex]\dfrac{\partial z}{\partial t}=\dfrac{\partial z}{\partial\theta}\dfrac{\partial\theta}{\partial t}+\dfrac{\partial z}{\partial\phi}\dfrac{\partial\phi}{\partial t}[/tex]
[tex]\dfrac{\partial z}{\partial t}=\cos\theta\cos\phi(s5t^4)-\sin\theta\sin\phi s^7[/tex]
[tex]\dfrac{\partial z}{\partial t}=5st^4\cos(st^5)\cos(s^7t)-s^7\sin(st^5)\sin(s^7t)[/tex]

Final answer:

We use the chain rule to find the partial derivatives ∂z/∂s and ∂z/∂t, considering z as a function of θ and ϕ, treating θ and ϕ as intermediate variables. We then differentiate θ with respect to s and t, and similarly for ϕ.

Explanation:

To find the partial derivatives ∂z/∂s and ∂z/∂t, we first need to make use of the chain rule in calculus. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. Here, z is a function of θ and ϕ, which are themselves functions of s and t - θ = st^5 and ϕ = s^7t.

First, find the partial derivative ∂z/∂s. We differentiate z = sin(θ)cos(ϕ) with respect to s, treating θ and ϕ as intermediates, and then differentiate θ and ϕ with respect to s.

Similarly, to find the partial derivative ∂z/∂t, we differentiate z = sin(θ)cos(ϕ) with respect to t treating θ and ϕ as intermediates, and then differentiate θ and ϕ with respect to t.

Please note that further calculation will require the exact differentiation of trigonometric functions and power functions.

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In the regression equation, what does the letter "x" represent?

Answers

The letter x represents the independent variable in the equation. This is the variable that doesnâ€™t depend on the other variables. The independent variable also can represent input or causes such as potential reasons for a variation. The independent variables do have effects on the dependent variables.

What is 800+60+4 in standard form

Answers

800 + 60 + 4 = 864
Just add the numbers.

Use multiplication and distributive property to find the quotient of 75 divided by 3

Answers

the answer would be 23

the answer is this question is 25

ABC is reflected across x = 1 and y = -3. What are the coordinates of the reflection image of B after both reflections?
A. (-7, -1)
B. (-7, 1)
C. (7, 1)
D. (7, -1)

Answers

Answer:

The correct option is C

Step-by-step explanation:

From the given figure it is noticed that the coordinates of point B are (-5,-7).

If a figure is reflected across x = 1, then

[tex](x,y)\rightarrow (1-(x-1),y)[/tex]

[tex](x,y)\rightarrow (2-x,y)[/tex]

So the coordinates of B after reflection across x = 1 are

[tex](-5,-7)\rightarrow (2-(-5),-7)[/tex]

[tex](-5,-7)\rightarrow (7,-7)[/tex]

If a figure is reflected across y = -3, then

[tex](x,y)\rightarrow (x,-3-(y+3))[/tex]

[tex](x,y)\rightarrow (x,-6-y)[/tex]

So the coordinates of B after reflection across x = 1 followed by reflection across y= -3 are

[tex](7,-7)\rightarrow (7,-6-(-7))[/tex]

[tex](7,-7)\rightarrow (7,1)[/tex]

Therefore the coordinates of the reflection image of B after both reflectionsthe are (7,1) and option C is correct.

Ralph sold brownies for $0.66 a piece in order to earn money to buy baseball cards. If the cards cost $0..90 per pack, and if Ralph had no money left over after buying them, what is the least number of brownies he must have sold?

Show method for answer if possible?

Answers

he would have to sell at least 2 brownies because then he would have more than $.90

If he only sold one he wouldn't have enough money, he also can't sell part of a brownie

Ralph must have sold at least 9 brownies at $0.66 each to be able to buy a pack of baseball cards for $0.90 with no money left.

Ralph sold brownies for $0.66 each to earn money to buy baseball cards that cost $0.90 per pack. To find the least number of brownies Ralph must have sold, we need to determine how many brownies he needs to sell to make at least $0.90, with no money left over after the purchase.

Since Ralph has no money left over, the total amount he earned from selling brownies should be a multiple of $0.90.

To find the least number of brownies, we perform the following calculation:

Find the smallest multiple of $0.90 that is also a multiple of $0.66.

Divide that amount by the price of each brownie, which is $0.66.

By performing this calculation, we find that the least number of brownies sold would have to be a number that, when multiplied by $0.66, is both a multiple of itself and $0.90. The least common multiple (LCM) of 66 and 90 cents is $5.94, which corresponds to selling 9 brownies (because $5.94 divided by $0.66 per brownie equals 9).

Therefore, Ralph must have sold at least 9 brownies to buy a pack of baseball cards with no money left over.

What is the product of 5 + 2i and 7 + 3i?
(1) 41 + 29i
(2)29 + 29i
(3)41 + i
(4)35 + 6i
(5)29 + 41i

Answers

The answer is (4) because you multiply the like terms in the equation. 5*7=35 and 3i*2i=6i.

Answer is (4)

Ellen Saver went to her bank. She had a balance of $2,447.67 in her savings account. She withdrew $231.49 and the teller credited her account with $36.61. What is her new balance?

$2,179.57
$2,252.79
$2,642.77
$2,715.77

Answers

This is the equation. 2,447.67-231.49+36.61. The answer is $2,252.79

12x−3y=, when x=−1/4 and y=3

Answers

Substitute -1/4 for x in 12x-3y, and 3 for y: 12(-1/4) - 3(3) = -3-9 = -12
(answer)

12x-3y
12(-1/4)-3(3)
-3-9
-12

What are the steps for using a compass and straightedge to construct a square? Drag and drop the steps in order from start to finish.

1.Construct a line perpendicular to line m through point F. Label a point on this line as point G.
2.Use a straightedge to draw line m and label a point on the line as point F.
3.Without changing the compass width, place the compass point on point H and draw an arc in the interior of ∠HFK .
4.Use the straightedge to draw JH¯¯¯¯¯ and JK¯¯¯¯¯.
5.With the compass open to the desired side length of the square, place the compass point on point F and draw an arc on line m and an arc on FG←→ . Label the points of intersection as points H and K.
6.Keeping the same compass width, place the compass on point K and draw an arc in the interior of ∠HFK to intersect the previously drawn arc. Label the point of intersection as point J.

Answers

The steps for using a compass and straightedge to construct a square are given as follows:

1. Use a straightedge to draw line m and label a point on the line as point F

2. Construct a line perpendicular to line m through point F. Label a point on this line as point G.

3. With the compass open to the desired side length of the square, place the compass point on point F and draw an arc on line m and an arc on FG←→ . Label the points of intersection as points H and K.

4. Without changing the compass width, place the compass point on point H and draw an arc in the interior of ∠HFK.

5. Keeping the same compass width, place the compass on point K and draw an arc in the interior of ∠HFK to intersect the previously drawn arc. Label the point of intersection as point J.

6. Use the straightedge to draw JH¯¯¯¯¯ and JK¯¯¯¯¯.

These are the right answers

Charlotte embroidered a piece of cloth with a length of 4 meters and a width of 2 meters in 412 hours.

What is the approximate speed, in square meters per hour, at which Charlotte can embroider? Round your answer to the nearest whole number.

Answers

Charlotte can embroider 0.02 square meters per hour. The cloth had a total of 8 square meters. (I figured that out by taking 4 meters times 2 meters = 8 square meters). Then I divided 8 by 412 hours, which equals .02.

find the discriminant & describe the nature of the roots 2x2=3x+5

Answers

[tex]\bf 2x^2=3x+5\implies 2x^2-3x-5=0 \\\\\\ \begin{array}{llccll} &{{ 2}}x^2&{{ -3}}x&{{ -5}}&=0\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array} \\\\\\ discriminant\implies b^2-4ac= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases}\\\\ -------------------------------\\\\ (-3)^2-4(2)(-5)[/tex]

Write the steps for how to use a number line to multiply a 2 digit number by 20. Give an example

Answers

Draw the number line then put the numbers on the number line by twos. Fore example, 2-4-6-8-10

Final answer:

To multiply a two-digit number by 20 using a number line, first choose a two-digit number. Each step on your number line will represent this number. Then count 20 steps on your number line from 0. The number you land on is the product. Alternatively, you can multiply the number by 2 and then move the decimal point one place to the right.

Explanation:

To use a number line to multiply a two-digit number by 20, follow these steps with an example:

Choose a two-digit number. Let's use 15 as an example.On your number line, make a mark at zero and at your two-digit number (in this case, 15).Each step on your number line will represent an increment of 15. This means the step after 15 will be 30, then 45, and so on.Count 20 steps on your number line from 0. The number you land on will be the product of your two-digit number (15) and 20.

Alternatively, as per the shortcuts mentioned, multiplying by 10 involves moving the decimal point one place to the right. Multiplying a number by 20 is thus equivalent to multiplying the number by 2 and then by 10. As an example, 15 x 20 can also be calculated as (15 x 2) x 10 = 30 x 10 = 300.

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25 pints of apple juice are poured into 1/2 pint bottles. how many bottles can be filled with apple juice

Answers

50 pints because 25x2 is equal to 50

The number of bottles to fill 25 pints of apple juice will be equal to 50.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The Number of the bottles = 25 / ( 1 / 2 )

= 25 x 2

= 50

Therefore, the number of bottles to fill 25 pints of apple juice will be equal to 50.

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Given:

A = O, WA = NO, AS = OT.

SSS

SAS

ASA

AAS

Answers

i think it would be sss hope it helps!!

A random sample is drawn from a population with mean μ = 66 and standard deviation σ = 5.5. use table 1.
a. is the sampling distribution of the sample mean with n = 16 and n = 36 normally distributed? yes, both the sample means will have a normal distribution. no, both the sample means will not have a normal distribution. no, only the sample mean with n = 16 will have a normal distribution. no, only the sample mean with n = 36 will have a normal distribution.
b. can you use the standard normal distribution to calculate the probability that the sample mean falls between 66 and 68 for both sample sizes? yes, for both the sample sizes, standard normal distribution could be used. no, for both the sample sizes, standard normal distribution could not be used. no, only for the sample size with n = 16, standard normal distribution could be used. no, only for the sample size with n = 36, standard normal distribution could be used.
c. calculate the probability that the sample mean falls between 66 and 68 for n = 36. (round intermediate calculations to 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.)

Answers

Final answer:

The sampling distributions of both sample sizes are normally distributed due to the Central Limit Theorem. The standard normal distribution can be used to calculate the probability for both sample sizes. The probability that the sample mean falls in a particular range for a given sample size can be found by calculating the z-scores for that range and looking at the area under the standard normal curve.

Explanation:

The subject of this question relates to the concepts of sampling distribution, normal distribution, and probability in the field of statistics. To answer this:

a. The sampling distribution of the sample means for both n = 16 and n = 36 will be normally distributed. According to the Central Limit Theorem, if the sample size is large enough (generally n > 30), the sampling distribution of the mean tends to be normal regardless of the shape of the population distribution.

b. Yes, a standard normal distribution could be used for both sample sizes to calculate the probability that the sample mean falls between 66 and 68. Since we are dealing with standard normal distribution, we first need to convert the samples into z-scores.

c. To calculate the probability for n = 36, we need to calculate the z-score for both 66 and 68 using the formula z = (X - μ) / (σ / sqrt(n)), where X is the sample mean, μ is the population mean, σ is the standard deviation, and n is the sample size. The probability that the sample mean falls between 66 and 68 for n = 36 is then simply the area under the standard normal curve bounded by these two z-scores.

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find the sale price of the item.round to two decimal places if necessary.

Original price $89.00

Markdown:33%

The sale price is $___

Answers

Here is one way of doing it.
The original price of the item is $89.
$89 is 100% of the original price.
You want to take off 32%.
100% - 32% = 67%
That means you want to find out how much 68% of $89 is.
68% of $89 =
= 0.68 * 89
= 60.52
Answer: $60.52

You asked for a 33% markdown, but the pic shows 32%, so I did 32%.

"15. describe the three data fragmentation strategies. give some examples of each."

Answers

1. Horizontal fragmentation – a table is separated into groups of rows rationally and each fragment (group/sunset) comprises unique rows and it is kept at different node. All rows have the same attributes and the SELECT statement yields the contents of the fragments.
2. Vertical fragmentation – the table is distributed into rational groups of attributes (columns). Each fragment covers a unique columns and is stored at a dissimilar position. The content in the fragment is attained by using the “PROJECT” statement.
3. Mixed fragmentation –This approach is the mix of horizontal and vertical strategies. In other words, each row fragment may be a blend of groups of attributes.

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