if necessary, how can a student determine the change in angular momentum δlδl of the cylinder from t=0t=0 to t=t0t=t0?

The polygon which on rotated gives the given cylinder is a rectangle with dimensions 10 inches × 9 inches.

Given a cylinder with the diameter of the base 18 inches and the height of the cylinder 10 inches.

This cylinder is formed by rotating some polygon around YZ.

The polygon must be a rectangle which has the height or the length equal to the height of the cylinder.

So length = 10 inches

The width of the rectangle will be half of the diameter.

Width = 18/2 = 9 inches

Hence the rotated polygon is a rectangle with length 10 inches and width 9 inches.

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The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.

Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.

Let us consider the two positive real numbers as x and y. Then, their sum is written as,

x+y=108

Then, y=108-x

And the product is written as,

P=xy²

Substitute value of y in the above equation, we get,

\(\begin{aligned}P&=x(108-x)^2\\&=x(11664-216x+x^2)\\&=11664x-216x^2+x^3\\&=x^3-216x^2+11664x\end{aligned}\)

Now, differentiate P with respect to x, and we get,

\(\begin{aligned}\frac{dP}{dx}&=3x^2-432x+11664\\&=x^2-144x+3888\end{aligned}\)

Solving the above equation to zero, we get,

\(\begin{aligned}x^2-144x+3888&=0\\x^2-36x-108x+3888&=0\\x(x-36)-108(x-36)&=0\\(x-108)(x-36)&=0\\x&=\text{108 or 36}\end{aligned}\)

Substitute values of x in y=108-x, to get values of y.

If we substitute x=108, we get the y value as zero which doesn't give the required solution.

But, if we substitute x=36, we get,

\(\begin{aligned}y&=108-36\\y&=72\end{aligned}\)

Thus, the two positive numbers are 36 and 72.

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The bakery can bake 7200 loaves in 3 hours.

To determine how many loaves can be baked in 3 hours, we need to find the baking rate of the bakery.

We know that the bakery bakes 3600 loaves in 1.5 hours. To find the baking rate per hour, we can divide the number of loaves baked by the time taken:

Baking rate = 3600 loaves / 1.5 hours = 2400 loaves per hour

Now, we can calculate the number of loaves that can be baked in 3 hours by multiplying the baking rate by the time:

Number of loaves = Baking rate * Time

Number of loaves = 2400 loaves/hour * 3 hours = 7200 loaves

Therefore, the bakery can bake 7200 loaves in 3 hours.

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Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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Answer:

False.

Step-by-step explanation:

The diagonals are at right angles ( because of the negative reciprocal slopes)

so it could be a square or a rhombus.

The given figure can be a rhombus or square.

The square is a 4 - sided figure, each side of the square is equal and makes a right angle.

The area of a square having sided a unit can be given by a² square unit.

Given that,

A figure has equal length of opposite sides.

Also, slopes and diagonals are equal with negative reciprocals.

Since, The square and rhombus both have equal sides and equal diagonals,

But a square makes right angle on sides.

In the given question, right angle is not given.

Therefore, the figure can be square or rhombus.

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They bought a total of 160 pairs of shoes and boots

Variable is a value that can change, depending on conditions.

Let's start by defining some variables:

Let x be the number of pairs of shoes they bought.

Let y be the number of pairs of boots they bought.

From the problem, we know that:

The cost of a pair of shoes is 20 dollars.

The cost of a pair of boots is 60 dollars.

They spent a total of 8000 dollars,

so we have:

20x + 60y = 8000

They bought 3 times as many boots as shoes, so we have:

y = 3x

Now we can substitute y = 3x into the first equation and solve for x:

20x + 60(3x) = 8000

20x + 180x = 8000

200x = 8000

x = 40

So they bought 40 pairs of shoes. Using y = 3x, we find that they bought 120 pairs of boots.

Therefore, they bought a total of 40 + 120 = 160 pairs of shoes and boots.

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The values of the statements are x³, b ÷ 3, 3a, y-3, z+3.

What is an Expression?

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

Hence the answer is, the statements are:

A variable cubed : x³

Quotient of some number and three:   b ÷ 3

Product of an unknown value and three : 3a

Three less than a variable : y-3

Three more than some number : z+3

Hence the answer is, the values of the statements are x³, b ÷ 3, 3a, y-3, z+3.

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After applying the sales tax, the expression for the total price of the phone is 1.03p.

What is sales tax?

The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government.

The amount for phone is represented as - p dollars and cents

The sales tax percentage is - 3% = 0.03

The sales tax applied on the phone is - 0.03p

The total price of the phone is denoted by the expression -

Total Price = Price of phone + Sales Tax

Total Price = p + 0.03p

Total Price = 1.03p

Therefore, the total price is obtained as 1.03p.

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The graph representing the interaction between meditation. Scull’s prediction that engaging in both activities does not produce any more benefit than either activity alone was wrong.

The interaction between exercise and meditation is more pronounced, indicating that it is necessary to engage in both activities to achieve better grades. Students who meditate and exercise regularly received better grades than those who did not meditate or exercise at all. According to the table of means, students who exercised but did not meditate had a mean of 3.6, students who meditated but did not exercise had a mean of 3.5, students who did not meditate or exercise had a mean of 2.5, and students who meditated and exercised had a mean of 3.8.

The mean score for the group who exercised but did not meditate was lower than the mean score for the group who meditated but did not exercise. The mean score for the group that neither meditated nor exercised was the lowest, while the group that meditated and exercised had the highest mean score.

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Answer:

X=4

Step-by-step explanation:

28+8=36

36/9=4

9*4=36

36-8=28

x=4

Answer:

Your answer is 4

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Answer:

y=4x-5

Step-by-step explanation:

the slope intercept equation is y=mx+b

m=slope and b=y intercept

the slope is the change in y over the change in x and as y goes up 8 x goes over one 8/2=4 so the slope (m) is 4

The y intercept is at (0,-5) so b is -5

if we add it all together we get that the slope intercept equation is y=4x-5

The null hypothesis is H0: μ ≤ 950 and the alternative hypothesis is H1: μ > 950.

The null hypothesis (H0) is the statement that we want to test and usually represents the status quo or the default assumption. In this study, the null hypothesis is that the average number of sales made by a sales associate per year is less than or equal to 950 sales. The alternative hypothesis (H1) is the statement that contradicts the null hypothesis and represents the researcher's claim or theory. In this case, the alternative hypothesis is that the average number of sales made by a sales associate per year is greater than 950 sales. To test this claim, the sales associate collects a sample of 39 sales associates and calculates the sample mean, which is 990 sales, and the population standard deviation, which is known to be 85 sales. Based on this sample, the sales associate can conduct a one-tailed hypothesis test at the 2.5% significance level to determine whether there is enough evidence to reject the null hypothesis and support the alternative hypothesis.

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Answer:

This statement is false. Exterior angles are the angles created when the sides of the triangle are extended.

Step-by-step explanation:

Exterior angles are the angle between the any reference side and line extended from the adjacent side.

the sum of exterior and interior angle is 180 as it lies on a straight line.

_______________________________________________

based on above definition the given statement becomes false.

Hence, correct choice is option third

This statement is false. Exterior angles are the angles created when the sides of the triangle are extended.

As the number of degrees of freedom for a t-distribution increases, the difference between the t-distribution and the standard normal distribution (b) becomes smaller.

As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution becomes smaller. This is because as the degrees of freedom increase, the t distribution approaches the normal distribution in shape and becomes more concentrated around the mean. Therefore, the t distribution becomes more similar to the standard normal distribution, which has a mean of 0 and a standard deviation of 1. So, the correct answer is b. becomes smaller.

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Answer:

In a triangle, sum of three angles=180°

So, A+B+C=180

C=180-A-B

C=180-60-a-60+a

C=60°

Hope it helps :-)

OB = 3 cm

AO = radius = 5 cm

AB = 8cm/2 = 4 cm

Pythagora

OB² = AO² - AB²

= (5cm)² - (4cm)²

= 25cm² - 16cm²

= 9 cm²

OB = √9cm²

= 3 cm

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.

Answer: it’s all in the picture

Step-by-step explanation: hope this helps

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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As the sample size (n) increases, the power of the statistical test also increases.

The power of a statistical test measures the ability of the test to detect a true effect or reject a false null hypothesis. In this case, the investigator states that the power of his test at a significance level of 1% is 0.87. If the sample size (n) increases, the power of the test increases.

Increasing the sample size generally leads to an increase in the power of a statistical test. This is because a larger sample size provides more information and reduces the variability in the data. With a larger sample size, the test has a greater chance of detecting a true effect and rejecting the null hypothesis when it is false. Consequently, the power of the test increases.

In summary, as the sample size (n) increases, the power of the statistical test also increases. This is because a larger sample size enhances the test's ability to detect true effects and reject false null hypotheses, resulting in higher statistical power. Therefore, in this scenario, increasing the sample size would lead to an increase in the power of the test.

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Step-by-step explanation:

i fnu havw 3 its 7 but 7m gos into m so m divides into 1 x 6 x 4 x 9 l qx

Answer: 41.67 shots or 42 shots

Step-by-step explanation:

We are given 12 foul shots for 8 misses

12 = 8

We are to find how many misses are for 125 foul shots

This could also be represented like this;

125 = x

Now let's set up a fraction for that

\(\frac{12}{8}=\frac{125}{x}\)

Divide

\(\frac{12}{8}=83\frac{1}{3}\)

Now that we've found how many she missed, we can mark the remaining as the shots she made.

To do that, subtract the =83\frac{1}{3} from the total (125)

125 - 83 = 41.67

However, since shots cannot be in decimals or in fractions, (for instance, you cannot make half a shot. It's all or nothing.)

Therefore, she missed either 41.67 shots or 42 shots.

Answer:

See below:

Step-by-step explanation:

\(p \: \therefore \: q \implies \: p \: therefore \: q \\ \\ p \: \iff \: q \implies \: p \: if \: and \: only \: if \: q \\ \\ p \: \land \: q \implies \: p \: and \: q \\ \\ p \: \lor \: q \implies \: p \: or \: q \\ \\ p \: \land \: \sim \: q \implies \: p \: and \: not \: q \\ \\ q \: \implies \: \sim \: p \implies \: if \: q \: then \: not \: p \\ \\ \sim \: p \implies \: q \implies \: if \: not \: p \: then \: q\)

Answer:

$61.92

Step-by-step explanation:

Lets start by applying the sale(discount) on the game. 20% off is synonymous with having 80% of something(the remaining part), so we can multiply 72*.8 in order to get $57.6

Now lets apply sales tax. A simple way to calculate total price when a tax or increase is present is by adding 100% to the % and multiplying. In this case, we would have \(1.075 * 57.6 = $61.92\)

Average speed of train B is 60 mph.

To find average speed of train B:

Let average speed of train B = x mph.

Based on information provided to us it is said average speed of train A is 20 mph more than B.

Average speed of train A = (x + 20) mph.

Speed = Distance/ Time

The time taken by both trains will be the same since they cover their respective distances in the same time.

For train A:

Speed of train A = (x + 20) mph

Distance covered by train A = 240 miles

Time taken by train A = Distance / Speed = 240 / (x + 20) hours

For train B:

Speed of train B = x mph

Distance covered by train B = 180 miles

Time taken by train B = Distance / Speed = 180 / x hours

Since the time taken by both trains is the same, we can set up an equation:

240 / (x + 20) = 180 / x

240x = 180(x + 20)

240x = 180x + 3600

240x - 180x = 3600

60x = 3600

x = 3600 / 60

x = 60

Therefore, the average speed of train B is 60 mph.

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Answer:

y = 75

Step-by-step explanation:

\(y=kx\\10=k(-2)\\10=-2k\\k=-5\\\\y=-5x\\y=-5(-15)\\y=75\)

When y varies directly with x, this means that you need to set up the equation y=kx and solve for k given (x,y)=(-2,10) and then use your new equation to plug in x=-15 to get y=75