Which number is a multiple of 4?

A.) 6

B.) 9

C.) 15

D.) 12​

The car was traveling at approximately 40 ft/s when the brakes were first applied.

To find the initial velocity of the car when the brakes were first applied, we can use the kinematic equation:

v^2 = u^2 + 2as

where:

v = final velocity (0 ft/s, as the car comes to a stop)

u = initial velocity (what we want to find)

a = acceleration (deceleration due to braking, -16 ft/s^2)

s = distance (skid marks, 200 ft)

Rearranging the equation, we have:

u^2 = v^2 - 2as

Substituting the given values, we get:

u^2 = 0^2 - 2(-16 ft/s^2)(200 ft)

u^2 = 6400 ft^2/s^2

Taking the square root of both sides, we find:

u = ±80 ft/s

Since we are looking for the initial velocity, we discard the negative value as it represents the opposite direction of motion. Therefore, the car was traveling at approximately 80 ft/s when the brakes were first applied.

Note: It's important to ensure consistent units throughout the calculations, and in this case, we used the unit of feet per second (ft/s) for velocity and feet (ft) for distance.

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Answer:

235

Step-by-step explanation:

Answer:

On the first one, they took half of the original number then added it to the original to get the sides of the bigger shape.

Step-by-step explanation:

Answer: I just did this in my math class, so I'll try to help you the best I can.  I uploaded the pdf below with step by step solutions to each problem. I also wrote some background information you need to know in order to solve the problems.

Step-by-step explanation:

Hope This Helps!

Answer:

Step-by-step explanation:

1/2

Triangular distribution is a good distribution when only minimum, most likely, and maximum value of a process is known. If we know the mean and standard deviation of a process, then Poisson distribution can be used to model this process. Lognormal distribution would be a good choice to model appointment times in a clinic. In this regard, the statements mentioned in the question are all true. 

Triangular distribution is a probability distribution that is used to find the expected value of a random variable when only minimum, most likely, and maximum values are known. It is a continuous probability distribution, with values distributed between the specified minimum, maximum, and most likely values. The shape of the distribution is in the form of a triangle, hence the name Poisson distribution is a probability distribution that is used to model the number of occurrences of an event in a fixed period of time, provided that the events are independent of each other and the average rate of occurrence is known. If we know the mean and standard deviation of a process, we can use the normal distribution to model this process.

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ANSWER

My answer is in the photo above

Answer:

\( \displaystyle \large{x \leqslant 15}\)

Step-by-step explanation:

We are given the Inequality:

\( \displaystyle \large{2x + 12 \leqslant 42}\)

To solve an Inequality, solve it like an equation: We isolate x-term.

First, subtract 12 both sides.

\( \displaystyle \large{2x + 12 - 12 \leqslant 42 - 12} \\ \displaystyle \large{2x \leqslant 30}\)

Then divide both sides by 2.

\( \displaystyle \large{ \frac{2x}{2} \leqslant \frac{30}{2} }\)

Divide the like term. 2 divides 2 = 1; 2 divides 30 = 15.

\( \displaystyle \large{ \frac{ \cancel{2}x}{ \cancel{2}} \leqslant \frac{ \cancel{30}}{ \cancel{2}} } \\ \displaystyle \large{ \frac{ 1x}{ 1} \leqslant \frac{15}{1} }\)

Generally, we do not recommend writing 1 as a denominator as we would just cancel 1 anyways.

That goes the same to 1x which we can simplify to x.

\( \displaystyle \large \boxed{ x \leqslant 15}\)

Let me know if you have any questions!

Answer:

Answer:

1. x15 (a)

2. 1/x15 (b)

Step-by-step explanation:

multiply exponents

simplify expression

Step-by-step explanation:

Answer: d. (if a polygon has congruent angles, then it is regular)

Step-by-step explanation:

Converses follow the format of "if q, then p" (while  the original conditional is "if p, then q")

Just because there are clouds does not mean its raining (cloudy days)

just because it has four equal sides does not make it a square (rhombi have four equal sides but are not squares)

just because you cannot see the sun does not mean it is not daytime (solar eclipses)

if a polygon is regular, it must have congruent angles

Answer:

C

Step-by-step explanation:

used a calc and took test

The probability of x taking on a value between 75 to 90 is 0.25.

Given that x is a continuous random variable uniformly distributed between 65 and 85.To find the probability that x lies between 75 and 90, we need to find the area under the curve between the values 75 and 85, and add to that the area under the curve between 85 and 90.

The curve represents a rectangular shape, the height of which is the maximum probability. So, the height is given by the formula height of the curve = 1/ (b-a) = 1/ (85-65) = 1/20.Area under the curve between 75 and 85 is = (85-75) * (1/20) = (10/20) = 0.5Area under the curve between 85 and 90 is = (90-85) * (1/20) = (5/20) = 0.25.

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The size of one sigma is approximately 0.027 inches. The quality level of the process is 4 sigma. The process does not meet the definition of true 6 Sigma quality. The change to the process control chart values has increased the quality of the process.

The process capability ratio is calculated by dividing the tolerance range (2 * 0.28 ounces) by 6 times the process standard deviation (6 * 0.13 ounces), resulting in a value of 0.62. This ratio indicates that the process is capable of meeting the specifications.

The process capability index is calculated by dividing the tolerance range (2 * 0.28 ounces) by 6 times the standard deviation (6 * 0.13 ounces), resulting in a value of 0.92. This index suggests that the process is close to meeting the specifications.

Based on the given options, the actual process quality level is currently less than 3σ Quality, but a shift in location could increase it to better than 3σ Quality. This means that the process has room for improvement but has the potential to meet higher quality standards with adjustments.

For the length of a component, the process meets the traditional definition of a "Capable" process as the average falls within the control limits (LCL = 5.673", UCL = 5.727").

The size of one sigma is approximately the process standard deviation, which is 0.13 inches.

The quality level of the process can be calculated by subtracting the process average from the upper specification limit (USL) and dividing it by 3 times the process standard deviation. In this case, \(\frac{(USL - process average) }{(3 * standard deviation)}\) = \(\frac{(5.727 - 5.700) }{(3 * 0.13) }\) ≈ \(\frac{0.077}{0.39}\)≈ 0.20. Rounded to 1 significant digit past the decimal, the quality level is 0.2 sigma or 4 sigmas.

The process does not meet the definition of true 6 Sigma quality, as it falls short of the required quality level.

The change to the process control chart values has increased the quality of the process. The new values of x, LCL, and UCL are still within control limits, indicating an improvement in process stability.

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Short answer, 7.2 liters. hope this helped

The requried Seven hundred twenty centiliters is equal to 7.2 liters.

Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.

Here,
To convert from centiliters (cL) to liters (L), we need to divide the number of centiliters by 100, since there are 100 centiliters in a liter.

Therefore, to convert 720 centiliters to liters, we divide 720 by 100:

720 cL ÷ 100 = 7.2 L

So 720 centiliters is equal to 7.2 liters.

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Fruit Flies are among the simplest animals with short lifespans and are convenient for research. Researchers tracked a population of 1,203,646 fruit flies, counting how many died each day for 171 days.

Here are three-time plots offering different views of these data. One shows the number of flies alive on each day, one the number who died that day, and the third the mortality rate—the fraction of the number alive who died. On the last day studied, the last 2 flies died, for a mortality rate of 1.0.The mortality rate is the fraction of the number of living things that died. It's one of the most important indicators of the severity of a problem.

The mortality rate of fruit flies was calculated using this data set. The death rate is determined by dividing the number of fruit flies that died on a given day by the total number of fruit flies that were alive on the previous day.

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Answer:

81

Step-by-step explanation:

63×135=8505

8505÷105=81#

In 63 pounds, there are equivalent 81 dollars.

A unit conversion expresses the same property as a different unit of measurement.

For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

Given is that -

1 pound = Rs.135

1 dollar = Rs. 105

Now, we can write that 1 rupee as -

Rs. 1 = 1/105 dollar

So, in 1 pound we can write -

1 pound = 135 x 1/105 dollars

63 pounds = 63 x 135 x 1/105 = 81 dollars

Therefore, in 63 pounds, there are equivalent 81 dollars.

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The most appropriate replication method for Kia Darby's study of public schools in Appalachia is to compare three schools from the same region, as opposed to replicating Dr. Shamus Khan's methodology of studying an elite boarding school.

Replication is an important aspect of scientific research that allows for the verification of research findings and the strengthening of scientific knowledge. However, it is essential to choose an appropriate replication method that is aligned with the research question, context, and variables.

Dr. Shamus Khan's study of an elite boarding school cannot be replicated in the context of public schools in Appalachia. The educational setting, student demographics, and institutional resources are vastly different, making it challenging to compare and generalize findings.

Comparing three public schools from the same region is a more appropriate replication method for Kia Darby's study. This approach allows for the control of confounding variables and the examination of similarities and differences in school performance, culture, and outcomes. Additionally, Kia could gather statistical data from archives, conduct interviews with school personnel and students, and observe classroom interactions to gain a comprehensive understanding of the research question.

Overall, replication is a crucial aspect of scientific research, and researchers should carefully consider the replication method that aligns with their research question and context.

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P(X)= R(X) - C(X)

Substituing the functions on the P(X) functions:

P(X)=25x-(1500+10x)

P(X)=25x-1500-10x

Solving:

P(x)=15x-1500, The answer would be the third option!

The equation of the circle is:

\((x + 4)^2 + (y + 2)^2 = 17^2\)

The general equation for a circle of radius R and center (a, b) is:

\((x - a)^2 + (y - b)^2 = R^2\)

Here the center is (-4, -2), and it contains the point (4, -17), so the radius is:

\(R = \sqrt{(4 - (-4))^2 + (-2 + 17)^2} = 17\)

So the equation of the circle is:

\((x + 4)^2 + (y + 2)^2 = 17^2\)

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Answer:

D- $11.70 that's the answer

By making use of the given function, the tax on a room that costs $120 is $11.7.

The given function is:

\(T(x)=0.06x+4.5\)

Where x is the cost in dollars of the room and T(x) is the tax in dollars.

A function is a rule that establishes a relation between two variables.

We have to find the tax on a room that costs $120.

This means x=120 and we have to find the corresponding function value.

So, \(T(120)=0.06*120+4.5\)

\(T(120)=11.7\)

So, the tax on a room that costs $120 is $11.7

Hence, by making use of the given function, the tax on a room that costs $120 is $11.7.

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Expression as a fraction of 0.7 cm³ for 117 mm³ is given by the fraction 0.117 / 0.7.

To write 117 mm³ as a fraction of 0.7 cm³,

we need to convert the units so they match.

Since there are 10 millimeters in a centimeter

1 cm = 10 mm

This implies,

1 cm³ = (10 mm)³

         = 1000 mm³

Now we can express 117 mm³ as a fraction of 0.7 cm³:

117 mm³ / 0.7 cm³

To convert mm³ to cm³, we divide by 1000,

117 mm³ / 1000 = 0.117 cm³

Now we can express it as a fraction,

0.117 cm³ / 0.7 cm³

Simplifying the fraction, we divide the numerator and the denominator by 0.117,

= (0.117 cm³ / 0.117 cm³) / (0.7 cm³ / 0.117 cm³)

= 1 / (0.7 / 0.117)

To divide by a fraction, we multiply by its reciprocal:

= 1 × (0.117 / 0.7)

= 0.117 / 0.7

Therefore, 117 mm³ is equal to the fraction 0.117 / 0.7 when expressed as a fraction of 0.7 cm³.

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Answer:

4y=16 is true if you do the problem you can see it wont work and i simplified and got the answer

Step-by-step explanation:

Refer to the attached image.

Answer:

the answer is ____

Step-by-step explanation:

first study more

then clean that computer

and then dont ask on here okau

Answer:

14 seconds will be preferable for the second plan

Answer:

1/3(5.2)h cm³

Step-by-step explanation:

A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm. Which expression represents the volume of the pyramid?

One-fifth(5.2)h cm3 StartFraction 1 Over 5 h EndFraction(5.2)h cm3

One-third(5.2)h cm3 StartFraction 1 Over 3 h EndFraction(5.2)h cm3

Volume of the pyramid = 1/3 × area × height

Area = 5.2 cm²

Height = h cm

Volume of the pyramid = 1/3 × 5.2 cm² × h cm

= 1/3(5.2)h cm³

Answer:

its c

Step-by-step explanation:

the two points are

A(4,56) and B(5,70)

so, the linear equation is

thus, the equation is

y = 14x + 0

so we can put 14 in first place and 0 in second

(a) The number of solutions is 455

(b) The number of solutions if each variable xi is an integer greater than or equal to one is 165

(a) This problem can be solved using the stars and bars technique. We need to distribute 12 identical objects (stars) among 4 distinct boxes (corresponding to the variables) such that each box can have zero or more stars. The number of solutions is therefore (12+4-1) choose (4-1) = 455.

(b) We can convert this problem into the previous one by subtracting 1 from each xi, so that we are now looking for non-negative integers. We need to distribute 8 identical objects (12-4) among 4 distinct boxes (corresponding to the variables) such that each box can have zero or more objects. The number of solutions is therefore (8+4-1) choose (4-1) = 165.

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Your question is incomplete but probably the full question is:

How many solutions are there to the equation x1+x2+x3+x4=12 if:

(a) Each variable xi is an integer greater than or equal to zero?

(b) Each variable xi is an integer greater than or equal to one?

The graph of the inequality y ≥ (1/2)x - 1 and x - y > 1 is attached. Shannon's graph is correct.

An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.

Inequalities are used for the non equal comparison of numbers and variables.

Given the inequalities:

y ≥ (1/2)x - 1     (1)

and

x - y > 1     (2)

The graph of the inequality is attached. Shannon's graph is correct.

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