The distance in feet required to stop a certain vehicle is given by: 2 d(t) = v + 36 If you don't want your stopping distance to exceed 180 feet, at what range of speed can you travel? Question 2 Find the quotient and remainder of - gp2 +* - 4 2+1 using: (a) Long division (b) Synthetic division

Answer:

Step-by-step explanation:

6th term.

a

6

=

32

7th term.

a

7

=

36

As per the concept of unitary method, the another way to express 8 feet is 2 \(\frac{2}{3}\) yards.

In math, unitary method is known as a way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.

Here we have given that a clothesline rope is 8 feet long.

Now we need to find another way to express 8 feet

We know that the formula to convert the measurement it to divide the length by the conversion ratio.

As we know that one yard is equal to 3 feet, then we can use this simple formula to convert is written as

yards = \(\frac{feet}{3}\)

Then we have to convert the improper fraction into mixed fraction from, then we get,

2\(\frac{2}{3}\) yards

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Answer:

12 apple pies

Step-by-step explanation:

If he uses 6 apples for each pie and he has 12 bags of apples with 6 apples in each bag, then we can infer that each bag is one pie.

So, 1x12 = 12 apple pies

Hope this helped :)

Answer:

= 61%

Step-by-step explanation:

Shaded is 1.22 out of 200

Shaded is .61 out of 100

TOTAL IS 61%

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Answer:

{-5,-3,0}

Step-by-step explanation:

Since you need it ASAP, the domain is listed above. No explanation.

The time-mean speed and space-mean speed of the four race cars can be calculated based on their constant speeds and the time it takes for each car to pass the person standing on the track. The time-mean speed is the average of the individual speeds, while the space-mean speed is the average of the distances covered by each car during the time period.

To calculate the time-mean speed, we need to find the average of the individual speeds of the four race cars. The time period is given as 45 minutes. We convert this time into hours by dividing it by 60: 45 minutes ÷ 60 = 0.75 hours.

Now we calculate the time taken for each car to pass the person based on their speeds and the length of the track. The track length is given as 2.5 miles. We use the formula: time = distance ÷ speed.

For the first car with a speed of 195 mph, the time taken to cover the track is: 2.5 miles ÷ 195 mph = 0.0128 hours.

Similarly, for the other cars:
Car 2: 2.5 miles ÷ 190 mph = 0.0132 hours
Car 3: 2.5 miles ÷ 180 mph = 0.0139 hours
Car 4: 2.5 miles ÷ 175 mph = 0.0143 hours

Next, we calculate the time-mean speed by taking the average of these individual speeds:
Time-mean speed = (195 mph + 190 mph + 180 mph + 175 mph) ÷ 4 = 185 mph.

To find the space-mean speed, we calculate the distances covered by each car during the 45-minute period. Multiply the speed of each car by the time taken for that car to pass the person:
Car 1: 195 mph × 0.0128 hours = 2.496 miles
Car 2: 190 mph × 0.0132 hours = 2.508 miles
Car 3: 180 mph × 0.0139 hours = 2.502 miles
Car 4: 175 mph × 0.0143 hours = 2.502 miles

Now we find the average of these distances:
Space-mean speed = (2.496 miles + 2.508 miles + 2.502 miles + 2.502 miles) ÷ 4 = 2.502 miles.

Therefore, the time-mean speed for the four race cars during the 45-minute period is 185 mph, and the space-mean speed is 2.502 miles.

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The time-mean speed and space-mean speed of the four race cars can be calculated based on their constant speeds and the time it takes for each car to pass the person standing on the track.

The time-mean speed is the average of the individual speeds, while the space-mean speed is the average of the distances covered by each car during the time period. To calculate the time-mean speed, we need to find the average of the individual speeds of the four race cars. The time period is given as 45 minutes. We convert this time into hours by dividing it by 60: 45 minutes ÷ 60 = 0.75 hours.

Now we calculate the time taken for each car to pass the person based on their speeds and the length of the track. The track length is given as 2.5 miles. We use the formula: time = distance ÷ speed. For the first car with a speed of 195 mph, the time taken to cover the track is: 2.5 miles ÷ 195 mph = 0.0128 hours.

Similarly, for the other cars:
Car 2: 2.5 miles ÷ 190 mph = 0.0132 hours
Car 3: 2.5 miles ÷ 180 mph = 0.0139 hours
Car 4: 2.5 miles ÷ 175 mph = 0.0143 hours

Next, we calculate the time-mean speed by taking the average of these individual speeds:
Time-mean speed = (195 mph + 190 mph + 180 mph + 175 mph) ÷ 4 = 185 mph.

To find the space-mean speed, we calculate the distances covered by each car during the 45-minute period. Multiply the speed of each car by the time taken for that car to pass the person:
Car 1: 195 mph × 0.0128 hours = 2.496 miles
Car 2: 190 mph × 0.0132 hours = 2.508 miles
Car 3: 180 mph × 0.0139 hours = 2.502 miles
Car 4: 175 mph × 0.0143 hours = 2.502 miles

Now we find the average of these distances:
Space-mean speed = (2.496 miles + 2.508 miles + 2.502 miles + 2.502 miles) ÷ 4 = 2.502 miles. Therefore, the time-mean speed for the four race cars during the 45-minute period is 185 mph, and the space-mean speed is 2.502 miles.

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Answer:

P =3Q +21

Step-by-step explanation:

Given: Rahim was asked to make p the subject of this formula

Q = p/3 - 7

He started his answer as follows

3Q = p - 21 hence p =

To Find, Complete Rahim's final answer.

Solution:

Q = p/3 - 7

Multiply both sides by 3

3Q = 3(p/3 - 7)

3Q = 3 × p/3 - 3 × 7

3Q = p - 21

Adding 21 both sides

3Q + 21 = p -21 +21

3Q + 21 = p

interchange sides

p = 3Q + 21

hence p =3Q +21

Mork bought a new car for $48,000, and its depreciation rate is expected to be 12% per annum. Mindy purchased an old collectible car for $3,200, and it is projected to appreciate at a rate of 25% per annum.

In terms of depreciation, Mork's new car is expected to lose 12% of its value each year. Therefore, after the first year, the car's value would decrease by 12% of $48,000, resulting in a depreciation of $5,760. The car's value at the end of the first year would be $48,000 - $5,760 = $42,240. This process would continue each year with a 12% decrease in value.

On the other hand, Mindy's collectible car is expected to appreciate by 25% each year. After the first year, the car's value would increase by 25% of $3,200, resulting in an appreciation of $800. The car's value at the end of the first year would be $3,200 + $800 = $4,000. Similarly, the value would continue to appreciate by 25% each year.

The difference in value between the two cars over time will likely be significant. Mork's new car will experience a continuous decline in value due to depreciation, while Mindy's collectible car will appreciate in value. This highlights the contrasting nature of the two cars' investment potential. Mork's car would be worth less each year, while Mindy's car would increase in value, potentially making it a more valuable asset over time.

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Answer:

Line plot; because the data is numerical

Step-by-step explanation:

Bar charts are used to represent categorical data, where line plots are used to show numerical data. Since you aren't categorizing the students by their height but rather listing the measurements, you would use a line plot.  

Answer:

1/2 is the slope

Step-by-step explanation:

Answer:

$ 7800

Step-by-step explanation:

P'(t) = 3t² + 10t + 6

\(P(t) = \int\limits^a_b {P'(t)} \, dt\)

For the 4th year, the limits are [3,4]

\(P(t) = \int\limits^4_3 {3t^2 + 10t + 6} \, dt\\\\= [\frac{3t^3}{3} + \frac{10t^2}{2} + 6t]^{^4}__{3}\\\\\)

\(=[\frac{3(4)^3}{3} + \frac{10(4)^2}{2} + 6(4)]-[\frac{3(3)^3}{3} + \frac{10(3)^2}{2} + 6(3)]\\\\=[\frac{3(64)}{3} + \frac{10(16)}{2} + 24]-[\frac{3(27)}{3} + \frac{10(9)}{2} + 18]\\\\= [64 + 5(16) + 24]-[27+5(9) + 18]\\\\= 168-90\\\\= 78\)

= $ 7800

Answer:

a= -6

Step-by-step explanation:

Answer:

$48

Step-by-step explanation:

To find 40% of a number (in this case, 80), you should divide 40 by 100 then multiply it by 80. Then you will get 32. Then you subtract 32 from 80 to get 48.

The value of `new_list` will be [1, 4, 9, 16].  In the given code, a new list `new_list` is created using a list comprehension.

The list comprehension iterates over each element `i` in the original list `my_list` and computes the square of each element using the expression `i**2`. The resulting squared values are then added to the new list.

Therefore, for each element in `my_list`, the corresponding squared value is appended to `new_list`. Since `my_list` contains the elements [1, 2, 3, 4], the squared values would be [1**2, 2**2, 3**2, 4**2], which simplifies to [1, 4, 9, 16]. Hence, the value of `new_list` is [1, 4, 9, 16].

The correct option is d. [1, 4, 9, 16].

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Answer:

11

Step-by-step explanation:

you do 9 x 7 = 63    84 -63 = 11

HOPE THIS HELPS :3

Answer:

3

Step-by-step explanation

84/ 7 = 12

12-9=3

3+9= 12

12*7=84

Among the three options provided, the cross-sectional data set is the demographic data. Correct option is B).

Cross-sectional data refers to a type of data that captures information about different individuals, entities, or units at a specific point in time. It provides a snapshot of a population or sample at a particular moment, allowing for comparisons and analysis of various characteristics or variables. In the case of demographic data, it typically includes information about individuals' age, gender, education level, income, and other demographic attributes. This data set does not capture changes or trends over time but rather provides a snapshot of the population's characteristics at a specific time.

On the other hand, the BCAD data and links could refer to data related to building codes, regulations, and their corresponding references, while code cases may refer to specific instances or examples of code violations or compliance. These data sets may be specific to certain incidents or cases and do not necessarily capture information about a population or sample at a particular point in time, making them less likely to be considered cross-sectional data.

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Answer:

6,942 steps left!

Step-by-step explanation:

OK so this is easy so we know that if 1 / 19 = 0.052 we minus that by - 3 because - 3 is our exponent that gives us 3.052 so now we just take 3.052 - 10,000 which gives us exactly 6942 you two steps so he needs 6942 steps left

Answer:

3,141 steps

Step-by-step explanation:

Let x be equal to the number of steps he needs to reach his goal

10,000 = \((\frac{1}{19} )^{-3}\)+ x

10,000 = 6,859 + x

3,141 = x

The measures of the angles formed by the intersection of the chords in the circle with center H, obtained using circle theorems, including angles of intersecting chords theorem are;

The angles of intersecting chords theorem states that the angle formed by intersecting chords is half the sum of the arcs intercepted by the angle and the vertical angle.

m∠1 = 42/2 = 21° (The angle formed at the circumference is half the angle formed at the center)

m\(\widehat{BC}\) = 360 - (90 + 50 + 70 + 48 + 42) = 60° (The sum of angles round a circle is 360°)

m∠2 = (1/2) × (60 + 44 + 48) = 76°

m∠3 = 180 - (21 + 76) = 83°

m∠4 = 180 - 83 = 97°

m∠5 = m∠3 = 83°

m∠6 = m∠4 = 97°

m∠7 = 180 - 76 = 104°

m∠8 = m∠2 = 76°

m∠9 = 180 - 76 = 104°

m∠10 = (1/2) × (42 + 70 + 50) = 81° (The angle formed at the circumference is half the angle formed at the center)

m∠11 = 180 - (81 + 76) = 23°

m∠12 = 44/2 = 22°

m∠13 = (1/2) × (60 + 50) = 55°

m∠14 = (1/2) × (48 + 42 + 60) = 75° (Angles of intersecting chords theorem)

m∠15 = 180 - 75 = 105°

m∠16 = m∠14 = 75°

m∠17 = m∠15 = 105°

m∠18 = 180 - 2 × 35 = 110°

m∠19 = 180 - 110 = 70°

m∠20 = 180 - (55 + 70) = 55°

m∠21 = m∠26 = 35°

m∠22 = (1/2) × (70 + 90 + 60) = 110° (Angles of intersecting chords theorem)

m∠23 = 180 - 110 = 70°

m∠24 = m∠22 = 110°

m∠25 = m∠23 = 70°

m∠26 = 70/2 = 35° (The angle formed at the circumference is half the angle formed at the center)

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Answer:

NO = 3

Step-by-step explanation:

Discussion

A secant is a line segment that intersects a circle in TWO places. If the secants start from the same point (O in this case) then the formula is

External Segment*Whole secant of one Secant = External segment*whole secant of the other secant.

Put into letters

NO(MN+NO) = OP*(OP + QP)

Givens

NO = ?

MN = 5

OP = 4

QP  = 2

Solution

NO * ( 5 + NO) = 4(4+2)

5NO + NO^2 = 24                  Subtract 24 from both sides

NO^2 + 5NO - 24 = 24-24     Combine

NO^2 + 5NOi - 24 = 0            Factor

(NO + 8)(NO -3) = 0

NO + 8 does not give a good answer. NO = - 8 which is not possible

NO - 3 = 0                              

NO = 3

Monopolists are firms that have control over the supply of a particular product or service in a market. Due to this control, they can charge higher prices than competitive firms, which can result in lower quantities sold.

One reason why a monopolist's marginal revenue is less than the sales price is due to the downward-sloping demand curve. As the monopolist increases its sales price, the quantity demanded decreases. This means that the revenue generated from each additional unit sold is lower than the revenue generated from the previous unit sold. In other words, the marginal revenue earned from each unit sold is less than the sales price. This occurs because the monopolist must lower the price of all units sold to sell additional units, which lowers the average revenue earned per unit.
To illustrate this, imagine a monopolist that sells widgets for $10 each. If the monopolist lowers the price to $9, it may sell 10 widgets, resulting in revenue of $90 ($9 x 10). However, if the monopolist maintains the $10 price and only sells 9 widgets, the revenue is $90 ($10 x 9). In this case, the marginal revenue for the 9th unit sold is $0, which is less than the sales price of $10. This is because the monopolist must lower the price of all units sold to sell the additional unit, resulting in a decrease in average revenue per unit. Overall, the monopolist's marginal revenue is less than the sales price due to the downward-sloping demand curve and the need to lower prices to sell additional units.


A monopolist, unlike firms in a competitive market, has significant market power due to the absence of competition. This allows the monopolist to control the market price of their product by adjusting the quantity supplied. When a monopolist wants to sell an additional unit, they must lower the sales price for all units, including the ones already being sold. This is because the demand curve faced by a monopolist is downward-sloping, meaning that in order to sell more units, the monopolist has to decrease the price.
Marginal revenue refers to the additional revenue gained from selling one more unit of the product. As the monopolist lowers the sales price to sell more units, two things happen: the revenue increases from the additional unit sold, but there is also a loss in revenue from the units that were sold at a higher price before the price reduction.

As a result, the marginal revenue is less than the sales price, since it takes into account not only the revenue from the additional unit sold but also the loss of revenue from lowering the price of all units. This relationship between the monopolist's pricing strategy and marginal revenue is a key factor in determining the monopolist's profit-maximizing level of output and price.

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Answer:

\(2^{-1}\)

Explanation:

05/10

Simplifying

1/2

or 2^-1

Hope this helps you. Do mark me as brainlist

Step-by-step explanation:

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

\(\huge \bf༆ Answer ༄\)

Let's solve ~

According to formula, the coordinates of Centroid of a triangle are ;

\( \sf x = \dfrac{x_1 + x_2 + x_3 }{3} \)

\( \sf y = \dfrac{y_1 + y_2 + y_3 }{3} \)

So, plug the coordinates of its vertices in the formula to find the required solution !

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x = \dfrac{6 + ( - 3) + 3}{3} \)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:y = \dfrac{2+ 4 + (- 9) }{3} \)

Further solving ~

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x = \dfrac{6}{3} \)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:y = \dfrac{ - 3}{3} \)

Therefore, the required coordinates are ~

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x = 2\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:y = - 1\)

Correct choice is ;

\(\overbrace{  \underbrace{\underline{ \boxed{ \sf (2 ,-1)}}}}\)

a. There is a 0.6827 percent chance that the random variable will take on a value between 45 and 55. b. There is a 0.9545 percent chance that the random variable will take on a value between 40 and 60.

a. To find the probability that the random variable will assume a value between 45 and 55, we need to calculate the z-scores for each value and then use a standard normal distribution table or calculator.

The z-score for 45 is:

\(z = (45 - 50) / 5 = -1\)

The z-score for 55 is:

\(z = (55 - 50) / 5 = 1\)

Using a standard normal distribution table or calculator, we find the probability of the random variable assuming a value between 45 and 55 is:

P(-1 < Z < 1) = 0.6827 (to 4 decimals)

As a result, there is a 0.6827 percent chance that the random variable will take a value between 45 and 55.

b. To find the probability that the random variable will assume a value between 40 and 60, we again need to calculate the z-scores for each value and then use a standard normal distribution table or calculator.

The z-score for 40 is:

\(z = (40 - 50) / 5 = -2\)

The z-score for 60 is:

\(z = (60 - 50) / 5 = 2\)

Using a standard normal distribution table or calculator, we find the probability of the random variable assuming a value between 40 and 60 is:

P(-2 < Z < 2) = 0.9545 (to 4 decimals)

Hence, there is a 0.9545 percent chance that the random variable will take on a value between 40 and 60.

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Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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The graph of the solution would be a number line with an open circle at 48 and an arrow extending to the right, indicating all values greater than 48 are solutions to the inequality. The solution would be (48, ∞).

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse.

Part A:

We can solve the inequality as follows:

1/4x - 3 - 5 > 4

1/4x - 8 > 4

1/4x > 12

x > 48

Therefore, the solution to the inequality is x > 48.

Part B:

Since the inequality is stringent, the graph of the solution would be a number line with an open circle at 48 and an arrow pointing to the right, signifying that all numbers greater than 48 are solutions to the inequality. The answer would be (48, ) in interval notation.

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To construct a 98% confidence interval for B₁, we can use the t-distribution since the sample size is small (n = 12).

Given the sample mean (B₁ = 46), sample standard deviation (s = 5.7), and sum of squares (SSzz = 57), we can calculate the confidence interval.

The formula for a confidence interval is:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

For a 98% confidence level and n = 12, the critical value is approximately 2.681 (obtained from a t-distribution table).

The standard error is calculated as the sample standard deviation divided by the square root of the sample size (s / √n).

Plugging in the values:

Standard Error = 5.7 / √12 ≈ 1.647

Confidence Interval = 46 ± (2.681 * 1.647)

Therefore, the 98% confidence interval for B₁ is approximately (42.21, 49.79).

In conclusion, we can be 98% confident that the true value of B₁ falls within the range of 42.21 to 49.79 based on the given sample data.

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Answer:

We can calculate the difference between Lori's and Melissa's purse masses by subtracting Melissa's purse mass from Lori's purse mass:

Lori's purse mass = 16 ounces

Melissa's purse mass = 11 ounces

Difference = Lori's purse mass - Melissa's purse mass

Difference = 16 ounces - 11 ounces

Difference = 5 ounces

Therefore, the difference between Lori's and Melissa's purse masses is 5 ounces.

The actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

The margin of error in the report stating that a 10-year-old American child spends an average of 20.02 to 25.36 minutes playing outdoors per day can be calculated by subtracting the lower value from the higher value and dividing by 2. In this case, the margin of error is :

To find the margin of error, we need to calculate the halfway point between these two values.
(25.36 - 20.02) / 2 = 2.67

Therefore, the margin of error is approximately 2.67 minutes. This means that the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

Thus, the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

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