Chase is moving and must rent a truck. There is an initial charge of $35 for the rental plus a fee of $2.50 per mile driven. Make a table of values and then write an equation for C,C, in terms of m,m, representing the total cost of renting the truck if Chase were to drive mm miles. help

Number of hours does it take for the temperature to change by -4. 4°C is 5.5 hours

To solve this problem, we can use the formula for finding the change in temperature

Change in temperature = rate of change × time

where the rate of change is -0.8°C per hour and the change in temperature we want to find is -4.4°C. So, we can plug in these values and solve for time

-4.4°C = (-0.8°C / hour) × time

Dividing both sides by -0.8°C / hour, we get

time = 5.5 hours

Therefore, it will take 5.5 hours for the temperature to change by -4.4°C.

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The probability of Laura missing 3 free throws before making 12 is approximately 0.0037 or 0.37%.
The basketball free throw.

A success would be considered when Laura makes a free throw.

A failure would be when Laura misses a free throw.
The negative binomial distribution is a probability distribution that calculates the probability of obtaining a certain number of failures before a specified number of successes occur.

The specified number of successes is 12, and the number of failures is represented by the variable x.
To calculate the probability of x failures, we need to know the probability of a single failure.

Since Laura is an 82% free throw shooter, the probability of her missing a free throw is 18%.
We can use the formula for negative binomial distribution to determine how many failures are required before 12 successes are achieved.

The formula is:
[tex]P(X = x) = (r+x-1)C(x) \times p^r \times (1-p)^x[/tex]
Where:
P(X = x) is the probability of having x failures before achieving 12 successes
r is the number of successes required (in this case, 12)
p is the probability of a single success (in this case, 0.82)

[tex](r+x-1)C(x)[/tex]is the combination of r+x-1 choose x

For example, if we want to find the probability of Laura missing 3 free throws before making 12, we will plug in x = 3, r = 12, p = 0.82 into the formula:

[tex]P(X = 3) = (12+3-1)C(3) \times 0.82^1^2\times (1-0.82)^3[/tex]
[tex]P(X = 3) = 14C3 \times 0.082^1^2 \times 0.18^3[/tex]
[tex]P(X = 3) = 364 \times 0.000018 \times 0.005832[/tex]
P(X = 3) = 0.000037
Overall, the trial in this scenario is each individual attempt at a free throw, the success is making a free throw, and 12 successes are required before the shooting session is considered complete.

The negative binomial distribution is used to calculate the probability of obtaining a certain number of failures before achieving the specified number of successes.

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'x' follows a negative binomial distribution with 'r' being 12 successes.

In this scenario, a trial refers to each individual attempt at shooting a free throw. A success is when Laura successfully makes a free throw. To achieve her goal of making 12 free throws, she needs to have 11 successes (since she will miss on the final attempt). Therefore, r = 11.

In this context, a "trial" refers to each individual attempt Laura makes to shoot a basketball free throw. A "success" is when Laura makes a free throw (hits the basket), while a "failure" (not mentioned in the question) would be when Laura misses a free throw. Since Laura keeps shooting free throws until she makes 12, the number of successes required, denoted as 'r', is 12.

Therefore, 'x' follows a negative binomial distribution with 'r' being 12 successes.

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If Sarah read her book for 2 1/8 hours on Monday, 1 1/2 hours on Wednesday, and 1 3/4 hours on Friday, Sarah read her book for a total of 7 hours.

To find the total number of hours Sarah read her book, we need to add the number of hours she read on Monday, Wednesday, and Friday.

So, the total number of hours Sarah read her book is:

2 1/8 hours + 1 1/2 hours + 1 3/4 hours

To add these fractions, we need to find a common denominator. The least common multiple of 8, 2, and 4 (the denominators of the three fractions) is 8.

So, we can rewrite the fractions as:

2 4/8 hours + 1 4/8 hours + 1 6/8 hours

Now we can add the whole numbers and fractions separately:

= 4 hours + 14/8 hours

= 4 hours + 1 6/8 hours

= 4 hours + 1 3/4 hours

Finally, we can add the two mixed numbers by finding a common denominator of 4:

= 4 hours + 1 12/4 hours

= 4 hours + 3 hours

= 7 hours

In order to solve this problem, we converted the mixed numbers into improper fractions, found a common denominator, added the fractions, and then converted the answer back into a mixed number.

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Complete question is:

Sarah read her book for 2  1/8

hours on Monday, 1  1/2

hours on Wednesday, and 1  3/4

hours on Friday. How many hours did she read her book in all?

1. If all dimension are doubled , the area will be enlarged by a factor of 4 (optionD)

2. If the dimensions are reduced by 1/4, the perimeter Is reduced by a factor of 1/4

3. If the dimensions are tripled, the perimeter will enlarge by a factor of 3

4. if the dimensions were reduced, by a factor of 1/3 , the area will reduce by a factor of 1/9

The scale factor is a measure for similar figures, who look the same but have different scales or measures.

A linear scale factor is the dimensions for length and the relation of between linear scale factor and area scale factor is ;

area factor = (linear factor)²

Linear factor can also be used for perimeter of shape. therefore if dimension is double by 2 the perimeter will double by 2 and the area will double by 2² = 4

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The only option that represents an independent event is: Option C: "Spinning a Spinner with eight evenly spaced sections, then spinning it again.".

Independent events are defined as those events whose occurrence is not dependent on any other event. For example, if we flip a coin in the air and get the outcome as Head, then again if we flip the coin but this time we get the outcome as Tail. In both cases, the occurrence of both events is independent of each other.

Looking at the given options, the only one that represents an independent event is "Spinning a Spinner with eight evenly spaced sections, then spinning it again.".

This is because each event does not depend on another one of the events being described.

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The length and width of the playground are 12 yd and 18 yd respectively

Let W and L represent  the width and length of the playground  respectively. Since the area of a playground is 216 yd² and the width of the playground is 6 yd longer than its length. We can say:

W = L + 6   ----- (1)

L * W = 216 ----- (2)                 (Remember: Area = L * W)

Put (1) in (2) and solve for L:

L * W = 216

L * (L + 6) = 216

L² + 6L = 216

L² + 6L - 216 = 0

(L - 12) (L + 18) = 0       (Factorize)

L = 12 or -18

Since Length cannot be negative, L = 12 yd.

W = L + 6  

W = 12 + 6  

W = 18 yd

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V=π(d

2)2h=π·(20.12

2)2·6.4≈2034.42618m

The probability that the superintendent will be at the family fun night sporting event is 1/n, where n is the total number of sporting events held by the school each year.

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

Assuming that the superintendent is equally likely to attend any of the school's sporting events, the probability that they attend the family fun night sporting event is simply the ratio of the number of family fun night sporting events to the total number of sporting events.

If we assume that the school has n sporting events each year and that the family fun night sporting event is chosen randomly from these n events, then the probability that the superintendent attends the family fun night sporting event is 1/n.

Therefore, the probability that the superintendent will be at the family fun night sporting event is 1/n, where n is the total number of sporting events held by the school each year.

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The slope of the second line is also positive, as it is parallel to the first line which has a positive slope.

Slope is a measure of how steep a line is, and is defined as the ratio of the change in the y-coordinate (vertical change) to the change in the x-coordinate (horizontal change) between any two points on the line. It represents the rate at which the line is rising or falling as it moves from left to right. Slope can be positive, negative, or zero. A positive slope indicates that the line is increasing as it moves from left to right, a negative slope indicates that the line is decreasing as it moves from left to right, and a zero slope indicates that the line is horizontal.

Here,

When two lines are parallel, they have the same slope. In this case, the first line has a positive slope of "a," which means that it is increasing as it moves from left to right. Since the second line is parallel to the first line, it will also have the same slope as the first line. Therefore, the slope of the second line will also be positive, indicating that it is increasing as it moves from left to right.

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If someone traded 18 bolts of silk in Ancient China, they would be able to obtain 12 horses, assuming the exchange rate remained constant.

In Ancient China, the exchange rate between silk bolts and horses was 3 bolts of silk for 2 horses. Therefore, if we divide 18 bolts of silk by 3, we get the equivalent number of horse pairs that can be obtained:

18 bolts of silk ÷ 3 = 6 horse pairs

However, since we are asked for the number of horses and not horse pairs, we need to multiply the number of horse pairs by 2 to get the total number of horses:

6 horse pairs × 2 horses per pair = 12 horses

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There is a 21.19% chance that the daily production falls within 32.3 and 36.9 liters.

To find the probability that the daily production of a herd of cows is between 32.3 and 36.9 liters, we need to use the normal distribution properties.

Given that the mean daily production of the herd of cows is 30 liters and the standard deviation is 8.2 liters, we can standardize the distribution and use the standard normal distribution table or calculator. We calculate the z-scores for the values 32.3 and 36.9, which tells us how many standard deviations away from the mean each value is.

Using a standard normal cumulative distribution function, we can find that the probability of the daily production falling between 32.3 and 36.9 liters is approximately 0.2119. This means that there is a 21.19% chance that the daily production falls within this range.

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The probability that daily production is between 32.3 and 36.9 liters is 0.18949 or 18.9%.

To determine the probability that the herd's daily production will be between 32.3 and 36.9 liters, we must compute the z-scores for each number and use a standard normal distribution table to calculate the area under the curve between those z-scores.

To find out the z - scores we need use z-score formula:

Z = X−μ / σ

where μ  is the mean, σ is the standard deviation and X is the observed value. In the problem μ  is 30 liters, X₁ = 32.3 liters & X₂ = 36.9 liters and σ = 8.2 liters.

Substituting the values in the equation to find the z-score for 32.3 liters is:

z₁ = (32.3 - 30) / 8.2 = 0.2804

z₁ = 0.28049

Substituting the values in the equation to find the z-score for 36.9 liters is:

z₂ =( 36.9 - 30) / 8.2 =  0.8414

z₂ = 0.8414

We can determine the area under the curve between these two z-scores using a conventional normal distribution table. The area between z = 0.28049 and z = 0.8414 and the probability is approximately 0.1894.

As a result, the probability that the herd's daily output is between 32.3 and 36.9 liters is about 0.1894.

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The two artists will melt:

10 + 20/x crayons

in 20 minutes.

The first artist melts one-half of a crayon per minute, so in 20 minutes, they will melt:

(1/2) x 20 = 10 crayons

The second artist takes x minutes to melt a crayon, so in one minute, they will melt:

1/x crayons

Therefore, in 20 minutes, the second artist will melt:

(1/x) x 20 = 20/x crayons

Together, the two artists will melt:

10 + 20/x crayons

in 20 minutes.

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The ornaments consist of two identical cones.

The formula for the surface area of a cone is:

SA = πr² + πrl

Since the cones are identical, the radius (r) and slant height (l) are the same for both cones in each ornament. Let's call them r1 and l1.

The total surface area of each ornament is:

SA_ornament = 2(πr1² + πr1l1)

We know that one bottle of paint covers 213 cm², so we can set up the following equation:

SA_ornament * bottles = 60 * 213

Substituting the given value of pi:

2(3.14r1² + 3.14r1l1) * bottles = 60 * 213

Simplifying:

6.28r1² + 6.28r1l1 = 6390

Since we have two variables and only one equation, we need another equation to solve for r1 and l1.

We know that the two cones are identical, so their dimensions are related by a scale factor of 1:2. Let's call the radius and slant height of the larger cone r2 and l2, respectively. Then:

r2 = 2r1

l2 = 2l1

The volume of each ornament is:

V_ornament = (1/3)πr1²l1 + (1/3)πr1²l1 = (2/3)πr1²l1

The scale factor for volumes is (1/4)³ = 1/64, since the radius and height are scaled by 1/4. Therefore:

V_ornament_B = (1/64)V_ornament_A = (1/64)(112π) = 7/4π

The volume of each ornament B is 7/4π.

The volume of 60 ornaments B is:

60 * 7/4π = 105π

We can now solve for r1 and l1 by substituting r2 = 2r1 and l2 = 2l1 into the surface area equation:

6.28r1² + 6.28(2r1)(2l1) = 6390

Simplifying:

6.28r1² + 25.12r1l1 = 6390

We don't need to solve for r1 and l1 explicitly. We just need to use the fact that the volume of each ornament B is (2/3)πr1²l1 and substitute the value of the volume and the relation between r1 and l1 into the equation above to get:

r1 ≈ 7.27 cm

l1 ≈ 14.54 cm

Finally, we can calculate the total surface area of each ornament B:

SA_ornament_B = 2(3.14 * 7.27² + 3.14 * 7.27 * 14.54) ≈ 1158.6 cm²

And the number of bottles of paint needed:

bottles = (60 * 1158.6) / 213 ≈ 326.4

Therefore, Tim needs about 327 bottles of paint to paint 60 ornaments.

The means of a stock that has a beta measure of 2.5 is 2.5%.

A beta measure of 2.5 indicates that the stock is 2.5 times as volatile as the market.

This means that if the market goes up by 1%, the stock is expected to go up by 2.5%.

The beta measure is a measure of the volatility of a stock relative to the market.

If the market goes down by 1%, the stock is expected to go down by 2.5%.

Therefore,

The stock is considered to be more risky than the average stock in the market.

A beta measure of 2.5 indicates that the stock is 2.5 times as volatile as the market.

This means that if the market goes up by 1%, the stock is expected to go up by 2.5%.

Conversely, if the market goes down by 1%, the stock is expected to go down by 2.5%.

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Answer:

A. February 26th

B. $3,500 - Balance ≈ $6,697.26

C. $2,500 - Balance ≈ $4,263.46

D. $4,284.81

Step-by-step explanation:

a) What is the due date of the loan?

The loan term is given as 317 days, and the loan starts on April 15th. To find the due date, we will add 317 days to April 15th.

April 15th + 317 days = April 15th + (365 days - 48 days) = April 15th + 1 year - 48 days

Subtracting 48 days from April 15th, we get:

Due date = February 26th (of the following year)

b) Calculate the interest due on October 12th and the balance of the loan after the October 12th payment.

First, we need to calculate the number of days between April 15th and October 12th:

April (15 days) + May (31 days) + June (30 days) + July (31 days) + August (31 days) + September (30 days) + October (12 days) = 180 days

Now, we will calculate the interest for 180 days:

Interest = Principal × Interest Rate × (Days Passed / 365)

Interest = $10,000 × 0.04 × (180 / 365)

Interest ≈ $197.26

Peter will make a payment of $3,500 on October 12th. So, we need to find the balance of the loan after this payment:

Balance = Principal + Interest - Payment

Balance = $10,000 + $197.26 - $3,500

Balance ≈ $6,697.26

c) Calculate the interest due on January 11th and the balance of the loan after the January 11th payment.

First, we need to calculate the number of days between October 12th and January 11th:

October (19 days) + November (30 days) + December (31 days) + January (11 days) = 91 days

Now, we will calculate the interest for 91 days:

Interest = Principal × Interest Rate × (Days Passed / 365)

Interest = $6,697.26 × 0.04 × (91 / 365)

Interest ≈ $66.20

Peter will make a payment of $2,500 on January 11th. So, we need to find the balance of the loan after this payment:

Balance = Principal + Interest - Payment

Balance = $6,697.26 + $66.20 - $2,500

Balance ≈ $4,263.46

d) Calculate the final payment (interest + principal) Peter must pay on the due date.

First, we need to calculate the number of days between January 11th and February 26th:

January (20 days) + February (26 days) = 46 days

Now, we will calculate the interest for 46 days:

Interest = Principal × Interest Rate × (Days Passed / 365)

Interest = $4,263.46 × 0.04 × (46 / 365)

Interest ≈ $21.35

Finally, we will calculate the final payment Peter must pay on the due date:

Final payment = Principal + Interest

Final payment = $4,263.46 + $21.35

Final payment ≈ $4,284.81

Answer:

7

Step-by-step explanation:

Area of a triangle is the height times the base divided by two. This triangle does not have a height that would work for this equation, so we will make a 'ghost' triangle of sorts to help us.  I have drawn this in with dotted lines.

We know total height (2.8), and so we can make 'fake' right triangle (look at picture) and attatch it to the real traingle. This way, we have a height that works for our triangle equation. But by doing so, we need to find the new base of our new triangle. We can't use 5. This is done with Pythagorean theorem, where we find the base of our 'ghost' triangle, which is 1.01. The new base, then, is 5+1.01= 6.01.

With our base and height we can solve for total area.

2.8*(6.01)/2=8.507

BUT, this is only for when we add the ghost triangle. THIS ISN'T REAL. We need to get rid of the fake triangle area to find the real area.

The ghost triangle area is 1.507.

So, 8.507-1.507= 7

its b so please mark me as a brainliest

Answer:

Step-by-step explanation:

Making x the subject in the second equation gives:

x = 4+3y

substituting x = 4 +3y into the first one gives:

3(4 + 3y) + 2y = -21

12 + 9y +2y = -21

11y = -33

y = -3

The man in the tavern called D'Artagnan's horse a "buttercup".

The Three Musketeers is a historical adventure novel written by French author Alexandre Dumas. It tells the story of young d'Artagnan and his three musketeer friends Athos, Porthos, and Aramis, who serve as musketeers in the king's regiment in 17th century France. The novel has been adapted into numerous films, TV shows, and stage productions, and remains a popular classic of French literature.

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Step-by-step explanation:

Volume of a sphere is given by the formula

4/3 pi r^3       diameter = 6.3 cm  so radius, r = 3.15 cm

4/3 * pi * (3.15)^3 = 130.9 cm^3

The coordinate notation for a translation of 7 units right and 4 units  are:

Q: (5,-2)

R: (4,-8)

A: (8,-6)

To perform a translation of 7 units right and 4 units down on Triangle QRS, we add 7 to the x-coordinates and subtract 4 from the y-coordinates of each vertex. The coordinate notation for the translated triangle, denoted as Q'R'S', is:

Q': (−2 + 7, 2 - 4) = (5, -2)

R': (−3 + 7, −4 - 4) = (4, -8)

S': (1 + 7, −2 - 4) = (8, -6)

So, the coordinate notation for the translated triangle Q'R'S' is Q'(5, -2), R'(4, -8), and S'(8, -6).

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There are 26,000 distinct license plates that can be issued consisting of one letter followed by a three-digit number.

To find the number of distinct license plates that can be issued consisting of one letter followed by a three-digit number, we need to consider the number of possibilities for each element of the license plate.

For the first element, there are 26 possible letters in the alphabet (assuming only English letters are used).

For the second element, there are 10 possible digits (0 to 9) that can be used.

For the third element, there are also 10 possible digits that can be used.

For the fourth element, there are again 10 possible digits that can be used.

Therefore, to find the total number of distinct license plates, we need to multiply the number of possibilities for each element:

26 × 10 × 10 × 10 = 26,000

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Answer: The given inequality is:

y < c + 5

We can rewrite this inequality in slope-intercept form, y = mx + b, by isolating y:

y < c + 5

y - 5 < c

c > y - 5

In slope-intercept form, this is:

y = 1x + (-5)

The y-intercept of this boundary line is -5.

Step-by-step explanation:

The probability of drawing a red paper clip first and a blue paper clip second is 15/132 or approximately 0.1136.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

The probability of drawing a red paper clip on the first try is 3/12, because there are 3 red paper clips out of 12 total paper clips in the drawer. Once a paper clip has been removed, there are 11 paper clips remaining, so the probability of drawing a blue paper clip on the second try is 5/11, because there are 5 blue paper clips remaining out of the 11 total remaining paper clips.

The probability of both of these events occurring is the product of their individual probabilities, so the probability of drawing a red paper clip first and a blue paper clip second is:

(3/12) * (5/11) = 15/132

Therefore, the probability of drawing a red paper clip first and a blue paper clip second is 15/132 or approximately 0.1136.

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1) The name of the shape is rectangle

2) The name of the shape is trapezoid

3) The name of the shape is rhombus

4) The name of the shape is rectangle

From the question, we are to state the most specific name for each of the given figures

1.

We have a quadrilateral

Opposite sides are parallel and equal

Each interior angle is a right angle

The name of the shape is rectangle

2.

We have a quadrilateral

Only a pair of opposite sides are parallel

The name of the shape is trapezoid

3.

We have a quadrilateral

Opposite sides are parallel and equal

All sides are equal

None of the angle is a right angle

The name of the shape is rhombus

4.

We have a quadrilateral

Opposite sides are parallel and equal

Each interior angle is a right angle

The name of the shape is rectangle

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The equation that could be used to determine the area of Kahuna's bed is:

The area of Kahuna's bed can be determined by multiplying its length by its width.

Let's first determine the length and width of Kahuna's bed in terms of x.

The width of Kahuna's bed is 2 feet wider than Bella's bed, which means its width is:

2 + 2 = 4 feet

The length of Kahuna's bed is 8x feet longer than Bella's bed, which means its length is:

3 + 8x

Therefore, the area of Kahuna's bed can be calculated as:

Area = length x width

Area = (3 + 8x) x 4

Expanding the equation, we get:

Area = 12 + 32x

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we get the velocity of the car at the end of the drag race to be 162 mph.

Assuming you meant "weight," weight is the measure of the amount of force that gravity exerts on an object. It is usually measured in units such as pounds or kilograms. The weight of an object can vary depending on the strength of gravity and the mass of the object. For example, an object that has a mass of 10 kilograms on Earth would weigh approximately 98 Newtons (which is about 22 pounds) due to the gravitational force of the Earth.

To find the velocity of the car, we can simply plug in the given values of horsepower and weight into the given formula:

[tex]v = 234 * \sqrt(p / w)[/tex]

Substituting p = 1311 and w = 2744, we get:

[tex]v = 234 * \sqrt(1311 / 2744)[/tex]

[tex]v \approx 162[/tex]

Rounding this to the nearest whole number, we get the velocity of the car at the end of the drag race to be 162 mph.

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Answer: 0.75 euros = 1 dollar

Step-by-step explanation:

Unit rate

450 euros ----> 600 dollars

450/600 = 0.75

0.75 euros = 1 dollar

Uni rate for the exchange of dollars to euros is 0.75 euros/dollars.

[tex]\implies[/tex] To find the unit rate of exchange from dollars to euros, divide the amount of euros Monica received by the amount of dollars she paid:

[tex]\largearrow{\sf{\boxd{\boxed{Unit \ change = \dfrac{Number \ of \ euros \ you \got}{Number \ of \ dollars \ you \ have} }}}}[/tex]

[tex]\implies{\sf{Unit \ change = \dfrac{\cancel{450}}{\cancel{600}} }}[/tex]

[tex]\implies{\sf{Unit \ change = 0.75 }}[/tex]

As a result, the unit rate for the exchange of dollars to euros is 0.75 euros/dollar.

I hope this helps you but i am not sure about the units.