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Which of the following are examples of acceleration?
Question options:
A) A runner slows down after passing another runner.
B) A runner speeds up at the end of a race.
C) A runner turns the corner on a track at a constant speed.
D) A runner moves along the straight part of a track at a constant speed.
Don't use ChatGPT and I'm pretty sure one has to be B

To determine the appropriate Z value for a 98% service level, Ross needs to consult a standard normal distribution table. The table shows that the Z value for a 98% service level is 2.33. This means that Ross needs to maintain a safety stock of 2.33 standard deviations above the mean to ensure that he can meet demand during the lead time.

To calculate the safety stock, Ross needs to multiply the standard deviation of the lead time demand by the Z value. In this case, the safety stock would be 1.5 units (standard deviation) x 2.33 (Z value) = 3.5 units.

The ROP (reorder point) for the brackets is calculated by adding the lead time (2 days) to the safety stock. This means that the ROP for the brackets is 2 days x 10 units/day (average demand) + 3.5 units (safety stock) = 23.5 units.

By maintaining a safety stock of 3.5 units and setting an ROP of 23.5 units, Ross can ensure a 98% service level and meet customer demand for the brackets.

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Andre travelled distance in one hour is 38 miles.

Define the relationship between Speed, Distance and Time

Given,

Distance travelled  of Andre is = 228 miles

Time taken to cover 228 miles = 6 hours

Then speed will be = Distance / time

speed = 228 / 6

          = 38 miles/hour

It means in 1 hour Andre covers a distance = 38 miles with a speed of 38 miles/hour

Hence, Andre travelled distance in one hour is 38 miles.

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the answer is 524.47500

can u sub 2 my channel its Raging Sushi and can u like the only video there is

Answer:

10 is to 1

Step-by-step explanation:

First convert both the distances to the same unit. So,3 km = 3 × 1000 m = 3000 m. Thus,the required ratio, 3 km : 300 m is 3000 : 300 = 10 : 1.

Answer:

option A

Step-by-step explanation:

wkt 1km=1000m

3km=3000m

3000m:300m = 10:1

thus 3km:300m = 10:1

Answer:

y = -2/3x - 3

Step-by-step explanation:

y = mx + b

m = slope

(-3,-1) = (x,y)

Plus in the coordinates

-1 = -2/3(-3) + b

negative times negative = positive

-2/3 * -3 = 2

-1 = 2 +b

Use inverse operations

-2 --2

-3 = b

y = -2/3x - 3

Answer:

y = -2/3 x - 3

Step-by-step explanation:

since you have a point and a slope, you can use point - slope form

The turntable turns through a 45.0 degree angle, the radial line also rotates by 45.0 degrees. Therefore, the direction of the ladybug's displacement vector is 45.0 degrees counterclockwise from the positive x-axis.

Part A:
The radius of the turntable is half of the diameter, which is 6.0 in. The ladybug crawls in a straight radial line to the edge, which means its displacement vector is equal to the radius of the turntable. Therefore, the magnitude of the ladybug's displacement vector is 6.0 in.

Part B:
The direction of the ladybug's displacement vector is the same as the direction of the radial line from the center of the turntable to the edge. This direction can be described by the angle between the positive x-axis and the radial line.

Since the turntable turns through a 45.0 degree angle, the radial line also rotates by 45.0 degrees. Therefore, the direction of the ladybug's displacement vector is 45.0 degrees counterclockwise from the positive x-axis.

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The length of segment DC is given as follows:

DC = 9.

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The bases in this problem are given as follows:

DC and 4.

The altitude segment has the length given as follows:

6.

The geometric mean of DC and 4 is of 6, hence the length of DC is obtained as follows:

4DC = 6²

4DC = 36

DC = 36/4

DC = 9.

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Answer:

Step-by-step explanation:

Answer:

→ First value is 1

→ Second value is 2

→ Third value is 5

Step-by-step explanation:

• let numbers be x, y and z

\({ \tt{z = 8y - 9 - - - (eqn \: 1)}} \\ \\ { \tt{10x = 8y - 7 - - - (eqn \: 2)}} \\ \\ { \tt{x + y + z = 8 - - - (eqn \: 3)}}\)

• from eqn 2, make x the subject:

\( { \tt{x = \frac{8y - 7}{10} }} \\ \)

• substitute all variables in eqn 3:

\({ \tt{ \frac{8y - 7}{10} + y + 8y - 9 = 8}} \\ \\ { \tt{8y - 7 + 10y + 80y - 90 = 80}} \\ \\ { \tt{98y = 177}} \\ \\ { \boxed{ \tt{ \: y = 1.8}}}\)

• find z

\({ \tt{z = 8y - 9}} \\ \\ { \tt{z = 8(1.8) - 9}} \\ \\ { \tt{z = 14.4 - 9}} \\ \\ { \boxed{ \tt{ \: z = 5.4 \: }}}\)

• find x:

\({ \tt{x = \frac{8(1.8) - 7}{10} }} \\ \\ { \tt{x = \frac{7.4}{10} }} \\ \\ { \boxed{ \tt{ \: x = 0.74 \: }}}\)

Rounding to nearest value:

\({ \boxed{ \rm{x = 1}}} \\ { \boxed{ \rm{y =2 }}} \\ { \boxed{ \rm{z = 5}}}\)

Answer:

f(-1) = |-1+4| - 5 = -2

f(0) = |0+4| -5 = -1

f(2) = |2+4| -5 = 1

Answer:

\(m=-4\)

Step-by-step explanation:

Two ways: pick two positions, calculate the difference in y and divide it by the difference in x

\(m= \frac{\Delta y}{\Delta x} =\frac{21-17}{-7-(-6)} = \frac4{-1}= -4\)

Or, the slope is also the variation in y for every unit increase of x.

In particular, the table gives unit increase in x (-7 to -6, and so on). The slope is simply "what happens to y". In our case, y decreases by 4, so the slope is -4

The correct answer is (B) I and IV.

If Fcalculated > Ftable, then the p-value is less than the significance level (usually 0.05), which means we reject the null hypothesis that the two sets of calcium data have the same variance. Therefore, the conclusion is that the difference in standard deviations for the two instrumental methods is significant. This corresponds to statement I.

Furthermore, if the null hypothesis is rejected, it means the alternative hypothesis is accepted, which is that the data does not come from populations with the same standard deviation. This corresponds to statement IV.

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Answer:

b is the answer okkkkkkkkkkkkkkkk

People gain body fat when their total intake of kilocalories from food and the nonnutrient sources exceeds their energy needs.

When the energy intake from all sources, including macronutrients such as carbohydrates, proteins, and fats, exceeds the energy requirements of the body, the excess energy is stored in the form of body fat. This surplus energy can come from any source of calories, including both nutrient-dense foods (such as those providing carbohydrates, proteins, and fats) and nonnutrient sources (such as sugary beverages, processed snacks, or high-fat foods).

It's important to note that excessive calorie intake alone is not the only factor contributing to weight gain. Other factors, such as genetics, physical activity level, metabolism, and overall health, also play a role in determining an individual's body fat accumulation.

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The series can be written as:

∞∑k=1 (-1)^(k+1) / k^(4k-1)

To determine how many terms of the series must be summed to ensure that the remainder is less than some given value, we can use the remainder formula for alternating series:

|R_n| <= a_(n+1)

where R_n is the remainder after summing the first n terms, and a_(n+1) is the absolute value of the (n+1)-th term.

So, we need to find the smallest value of n such that:

|(-1)^(n+2) / (n+1)^(4n+3)| < ε, where ε is the given error tolerance.

We can simplify this inequality as:

1 / (n+1)^(4n+3) < ε

Taking the natural logarithm of both sides, we get:

(4n+3) ln(n+1) > ln(1/ε)

Using numerical methods, we can solve for n. Alternatively, we can use some approximations to get an estimate.

For large n, we have ln(n+1) ≈ ln(n), so we can simplify the inequality as:

4n ln(n) > ln(1/ε)

or

n > ln(ln(1/ε)) / 4ln(n)

We can start with n = 1000 and use this formula to check if the remainder is less than ε. If not, we can increase n by a factor of 2 and try again. Once we find the smallest n that satisfies the inequality, we can sum the first n terms to get an approximation of the series with the desired error tolerance.

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The length of one corral should be 80 feet, and the combined length of both corrals should be 240 feet. The width of each corral will be (200 - y)/2 = 60 feet. This configuration will enclose the maximum area of 9600 square feet.

To maximize the enclosed area, we need to find the dimensions of the two rectangular corrals that will use up all the 400 feet of fencing. Let the length of one corral be x, and the combined length of both corrals be y. The width of each corral will be (200 - y)/2 (since the total length of fencing used for each corral is 200 - y).

The total area enclosed will be the product of the areas of the two corrals, which is given by:

A = xy/2 * (200 - y)/2

To find the values of x and y that maximize A, we can take the derivative of A with respect to y and set it equal to 0:

dA/dy = (x/2)(200 - 2y) - (xy/4) = 0

Simplifying this expression, we get:

y = 100 - x/2

Substituting this into the equation for A, we get:

A = (1/4)x(100 - x/2)^2

To find the value of x that maximizes A, we can take the derivative of A with respect to x and set it equal to 0:

dA/dx = (1/4)(100 - x/2)^2 - (1/4)x(100 - x/2)(-1/2)

Simplifying and setting this expression equal to 0, we get:

x = 80

Therefore, the length of one corral should be 80 feet, and the combined length of both corrals should be 240 feet. The width of each corral will be (200 - y)/2 = 60 feet. This configuration will enclose the maximum area of 9600 square feet.

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The length and breadth of the room is 4 meters

A square is a 2D figure in which all the sides are of equal measure. Since all the sides are equal, the area would be length times width, which is equal to side × side. Hence, the area of a square is side square.

A square has it's sides equal

A = l²

The area of 2 walls = 128/2 = 64

Therefore the length of each sides = √64

= 4meters

The height of the room = Volume/ height

= 256/128 = 2

The breadth of the room will also be 4meters

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Answer:

x=-1

Step-by-step explanation:

On the lowest point of the function, the point is on -1 on the x-axis. That point on the graph splits the graph in half.

Answer:

x= -1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

8 hours

Step-by-step explanation:

wait what is starting temperature?

9514 1404 393

Answer:

Step-by-step explanation:

The system of equations can be written ...

  n + d = 20 . . . . . . . . coins in the jar

  5n +10d = 130 . . . . . value in cents

_____

Using the first equation, we can write an expression for n:

  n = 20 -d

We can substitute this into the second equation:

  5(20 -d) +10d = 130

  100 +5d = 130 . . . . . . simplify

  5d = 30 . . . . . . . . . . . . subtract 100

  d = 6 . . . . . . . . . . . . divide by 5

  n = 20-d = 14

The jar contains 14 nickels and 6 dimes.

Area of roundabout = 153.86 yd2

we are given,

radius = 7 yd

Area of circle = π \(r^{2}\)

= 3.14 × 7× 7

= 153.86 yd2

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr2, where r is the radius of the circle. The unit of area is the square unit,

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a.she must deposit $219,974.28 today.

b. the balance in the account immediately after the fourth withdrawal will be $215,449.44

c. there will be no balance in the account after all the withdrawals have been made including the last one in six years.

d.if you drop out today, you would have $284,431.85 at the end of six years.

a) The present value formula can be used to calculate the initial deposit. PV = FV / (1 + r) n

Where,PV is present value, FV is future value, r is the interest rate and n is the number of years.Since the future value is known ($45,000 each year for six years) and the interest rate is known (4%), we can calculate the present value as follows.

PV = $45,000 x [1 - 1/(1 + 0.04)^6] / 0.04PV = $219,974.28

Therefore, she must deposit $219,974.28 today.

b) To calculate the balance after four years, we need to calculate the future value of the initial deposit using the following formula:FV = PV x (1 + r) n + PMT x [(1 + r) n - 1] / r

Where,PV is present value, FV is future value, r is the interest rate, n is the number of years and PMT is the payment made each year.

FV = $219,974.28 x (1 + 0.04) ^ 6 + $45,000 x [(1 + 0.04) ^ 6 - (1 + 0.04) ^ 2] / 0.04FV = $215,449.44

Therefore, the balance in the account immediately after the fourth withdrawal will be $215,449.44

.c) After six years, all six withdrawals will be made, so the account balance will be zero. Therefore, there will be no balance in the account after all the withdrawals have been made including the last one in six years.

d) If you decide to drop out today and not make any withdrawals, you will have $219,974.28 in the account after six years.

Therefore, the future value of the initial deposit will be:

FV = PV x (1 + r) n

FV = $219,974.28 x (1 + 0.04) ^ 6

FV = $284,431.85

Thus, if you drop out today, you would have $284,431.85 at the end of six years.

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Answer:

This will be 12/20

Step-by-step explanation:

You take the number of favourable outcomes (12, as there are 12 boys) and take the number of total outcomes (20, as there are 20 people in total). Then you do the number of favourable outcomes over the number of total outcomes. This equals 12/20. I hope this helps

A fraction is a part of a whole.

It is expressed as a quotient, in which the numerator is divided by the denominator.

The fraction for boys out of 20 students is 3/5.

A fraction is a part of a whole.

It is expressed as a quotient, in which the numerator is divided by the denominator.

Example: 2/3, 5/7, 1/3

We have,

Total number of students = 20

Number of boys = 12

The fraction of the boys is:

= Number of boys / Total number of students

= 12 / 20

We can write along with its common factors.

= 2 x 6 / 2 x 10

Common values are canceled out from the numerator and the denominator.

= 6 / 10

We can write it as along with its common factor.

= 2 x 3 / 2 x 5

Common factors are canceled out from the numerator and the denominator.

= 3/ 5

Thus the fraction for boys out of 20 students is 3/5.

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The pedestrian who started in town A walked for 8 hours before the noon meeting, and the pedestrian who started in town B walked for 6 hours before the noon meeting.

Let's call the distance between town A and town B "D".

When the two pedestrians meet at noon, they have together covered a distance of D, which means they each have walked half the distance, or D/2.

Let's say the pedestrian who started in town A arrives at 4 PM, which means they have walked for 4 hours after the noon meeting. We can use the formula distance = rate x time, where rate is the pedestrian's speed, to find how far they have walked before the noon meeting:

distance = rate x time

D/2 = rate x (noon - 4)

D/2 = rate x (-4)

D/2 = -4rate

rate = -D/8

The negative sign indicates that this pedestrian is walking from town A to town B, in the opposite direction from the positive direction we defined earlier. The magnitude of the rate is D/8, meaning this pedestrian covers 1/8th of the distance every hour.

Similarly, we can use the same formula for the pedestrian who started in town B and arrived at 9 PM:

distance = rate x time

D/2 = rate x (9 - noon)

D/2 = rate x 3

D/6 = rate

rate = D/18

This pedestrian is walking from town B to town A, in the positive direction we defined earlier. The magnitude of the rate is D/18, meaning this pedestrian covers 1/18th of the distance every hour.

Now we can calculate how long each pedestrian walked before the noon meeting:

time = distance / rate

For the pedestrian who arrived in town A at 4 PM:

time = D/2 / (-D/8) = -4 hours

For the pedestrian who arrived in town B at 9 PM:

time = D/2 / (D/18) = 9 hours

The negative sign for the pedestrian who arrived in town A indicates that they started walking in the wrong direction, so they actually walked for 4 - (-4) = 8 hours in the correct direction before reaching the noon meeting point. The pedestrian who arrived in town B walked for 9 - 3 = 6 hours in the correct direction before the noon meeting.

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Answer:180

Step-by-step explanation:

Answer:

its less than <

Step-by-step explanation:

........

Answer:

>

Step-by-step explanation:

\(12 \times 1 \frac{2}{5} = 12 \times \frac{7}{5} = \frac{60}{5} \times \frac{7}{5} = \frac{420}{25} = 16 \frac{20}{25} \)

New function that is a horizontal stretch of F(x)=\((x+2)^{3} + 5\) is F(\(\frac{x}{k}\))=\((\frac{x}{k} +2)^{3} + 5\)

The point (x, y) on the graph of f(x) is changed to the point (x/k, y) on the graph of g when the graph is stretched or contracted horizontally by a factor of 1/k (x).Only when the input value is also increased by a, can a graph be stretched horizontally by a factor of 1/a. The x-coordinates should be multiplied by a once f(x) has been stretched horizontally to f(ax). Keep the y-intercepts where they are. The resulting function might have a different domain, but it will have the same range. If a point (m, n) is stretched horizontally, it becomes (am, n).

F(x)=\((x+2)^{3} + 5\)

F(\(\frac{x}{k}\))=\((\frac{x}{k} +2)^{3} + 5\)ch visit :
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a) The two points that should be used to find the equation are given as follows: (6,9) and (10,13).

b) The slope of the linear model is of 1.

c) The point-slope form of the linear model is given as follows: y - 9 = (x - 6).

d) The slope-intercept form of the equation you wrote in part (c) is given as follows: y = x + 3.

e) The least squares regression line is given as follows: y = 1.028x + 2.271.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

Two points from the line are defined as follows:

(6,9) and (10,13).

These points were chosen as they have the least residual, that is, these points are the closest to the line of best fit.

Given two points, the slope is calculated as the change in y divided by the change in x, hence:

m = (13 - 9)/(10 - 6) = 1.

Considering point (6,9), the point-slope equation is given as follows:

y - 9 = (x - 6).

Hence the slope-intercept definition of the linear function is given as follows:

y - 9 = x - 6

y = x + 3.

The points from the scatter plot are given as follows:

(1,2), (2,6), (5,6), (6,9), (7,11), (9,10), (10,13).

Inserting these points into a linear regression calculator, the regression line is given as follows:

y = 1.028x + 2.271.

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Step-by-step explanation:

Since 4104 students are employed sophomores, juniors, or seniors, the total number of unemployed students is 11,989 - 4104 = 7885.

And since 745 students are employed freshman, the number of unemployed freshman is 7885 - 745 = 7140.

So, the total number of freshman is 745 + 7140 = 7885.

The Venn diagram would look like this:

[ Freshmen ] [ Sophomores, Juniors, Seniors ]

[ 7885 ] __________ [ 4104 ]

| 745 |

__________

[ 7140 ]

So, there are 7885 freshman.