how much work is done raising an 8 lb mass to a height of 18 ft above the ground? (use decimal notation. give your answer as an exact number.)

The value of the expression is 4.

The code :

int a[4] = {1, 2, 3, 4};

int *p = a;

what is *(p + 3)?

The variable a is an array of integers, and the variable p is a pointer to the first element of the array.

The expression *(p + 3) is the value of the element of the array that is 3 elements after the element that p points to.

Since p points to the first element of the array, the expression *(p + 3) is the value of the fourth element of the array, which is 4.

Therefore, the value of the expression is 4.

Here is a breakdown of the code:

int a[4] = {1, 2, 3, 4}: This line declares an array of integers called a and initializes it with the values 1, 2, 3, and 4.

int *p = a; This line declares a pointer to an integer called p and initializes it with the address of the first element of the array a.

what is *(p + 3)?: This line asks what the value of the expression *(p + 3) is.

The expression *(p + 3) is the value of the element of the array that is 3 elements after the element that p points to.

Since p points to the first element of the array, the expression *(p + 3) is the value of the fourth element of the array, which is 4.

Therefore, the value of the expression is 4.

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Correct Question :

Int a[4]={1,2,3,4}, int *p=a. What is the value of *(p+3)?

The directional derivative of f(x, y, z) = yx + 24 at a point is not provided in the given submission. Therefore, the main answer is missing.

In the 80-word explanation, it is stated that the directional derivative of f(x, y, z) = yx + 24 at a specific point is not given. Consequently, a complete solution cannot be provided based on the information provided in the submission.

Certainly! In the given submission, there is an incomplete question or statement, as the actual point at which the directional derivative is to be evaluated is missing. The function f(x, y, z) = yx + 24 is provided, but without the specific point, it is not possible to calculate the directional derivative. The directional derivative represents the rate of change of a function in a specific direction from a given point. Without the point of evaluation, we cannot provide a complete solution or calculate the directional derivative.

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Answer:

\(x=67.38^\circ\)

Step-by-step explanation:

Use trigonometry

Recall that cos(x)=adjacent side/hypotenuse

You can remember this with SohCahToa

Also remember that if cos(x)=y then \(cos^{-1}(y)=x\)

In this case, we know the adjacent side and hypotonous

Adjacent side=5000

Hypotenuse=13000

Therefore

\(Cos(x)=\frac{5000}{13000}=\frac{5}{13}\)

Now to solve for x, take the inverse cosine

\(cos^{-1}(\frac{5}{13})=x=67.38^\circ\)

Answer:

x=67.38

Step-by-step explanation:

I took the quiz and got it correct!

Answer:

Step-by-step explanation:

1. Find the mean

94 + 69+74+96 = 333

Divide 333 by 4 = 83.25

Subtract 83.35 from 88

Answer : 4.75

Now follow the next steps

The sample space for rolling a fair seven-sided die is S = {1, 2, 3, 4, 5, 6, 7}.

Given that,

A fair seven sided die is rolled.

We have to find the sample space of the rolling.

A sample space is a set of all the possible outcomes in a random experiment. It is usually denoted by the letter, S.

The subset of the sample space are events.

The die has the numbers marked from 1 to 7.

So when we roll the die,

The possible numbers are 1, 2, 3, 4, 5, 6, 7

Sample space = {1, 2, 3, 4, 5, 6, 7}

Hence the sample space is {1, 2, 3, 4, 5, 6, 7}.

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9514 1404 393

Answer:

Step-by-step explanation:

The signs on x and y tell you that C will be maximized when x is smallest and y is largest. C will be minimized when the reverse is true.

Maximum C: x = -2, y = 2.

  C = -2(-2) +3(2) = 10 . . . max

Minimum C: x = 4, y = -2.

  C = -2(4) +3(-2) = -14 . . . min

_____

Comment on signs

When the sign is negative, as for -2x, it means the value will go down when x goes up, and vice versa. So, the maximum value of this term will found where x has its minimum value.

When the sign is positive, as for 3y, the value of the term will increase when y increases. So, the maximum value of this term will be found where y has its maximum value.

__

The attachment shows a graphical interpretation of the question. The corners of the "feasible solution space" are the combinations of x- and y- that need to be examined. Once you know the slope of the "objective function" (C) is positive, you know the only corners of interest are the ones on upper left and lower right.

Answer:

1000 km^3

Step-by-step explanation:

1 km=1000m

1 cubic kilometer is equivalent to 1,000,000,000 cubic meters, due to cubing the conversion factor of 1,000 (meters per kilometer).

1 cubic kilometer is equivalent to 1,000,000,000 (one billion) cubic meters. When converting units, you need to remember the relationships between those units. In this case, 1 kilometer is equivalent to 1000 meters. Therefore, to convert from cubic kilometers to cubic meters, you need to cube the conversion factor (1000 meters/kilometer). Hence, 1 cubic kilometer = 1,000^3 cubic meters = 1,000,000,000 cubic meters.

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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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Answer:

y = 5x

Step-by-step explanation:

slope intercept form is y=mx+b

m = slope

b = the y-intercept

so you just have to plug in those values

The probability that the jury makes the correct decision is approximately 0.7063.

To solve this problem, we need to find the probability that the jury makes the correct decision if the defendant is guilty. Let's break down the problem into smaller steps.

We know that the probability of a single juror making the correct decision is 0.80. If the defendant is guilty, then the probability of a juror making the correct decision is still 0.80. Therefore, the probability that a single juror makes the correct decision if the defendant is guilty is 0.80.

We can use the binomial distribution formula to determine the probability of at least 10 out of 12 jurors making the correct decision. The formula is:

P(X ≥ k) = 1 - Σ(i=0 to k-1) [n!/(i!(n-i)!) x \(p^i \times (1-p)^{(n-i)}\) ]

where:

P(X ≥ k) is the probability of at least k successes

n is the total number of trials (in this case, 12 jurors)

p is the probability of success in a single trial (in this case, 0.80)

k is the number of successes we want to find the probability of (in this case, 10)

Plugging in the values, we get:

P(X ≥ 10) = 1 - Σ(i=0 to 9) [12!/(i!(12-i)!) x \(0.80^i \times (1-0.80)^{(12-i)}\)]

Using a calculator or software, we can calculate this to be approximately 0.7063.

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Answer:8

Step-by-step explanation:

We can expect 8 of the next 16 people to have black hair, based on the given information.

It is a branch of mathematics that deals with the occurrence of a random event.

Since 2 out of the total number of people who have already taken their seats at the seminar have black hair

we can assume that the probability of a person having black hair is 2 out of the total number of people who have taken their seats.

The probability of a person having black hair can be expressed as:

P(black hair) = 2/(2+2) = 1/2

This means that out of the total number of people who have already taken their seats, half of them have black hair.

If we assume that the next 16 people to take their seats are chosen randomly and independently from the population,

we can use the expected value formula to calculate the number of people with black hair we would expect among those 16 people:

Expected value = total number of people x probability of having black hair

Expected value = 16 x (1/2)

Expected value = 8

Therefore, we can expect 8 of the next 16 people to have black hair, based on the given information.

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Answer:

4,978 because after 3 digits you have to put a coma

Answer:

4,978

Step-by-step explanation:

Answer:

Vertex

(-1,-4)

Y-Intercept

(0,-2)

it opens up

Step-by-step explanation:

To determine the number of ways the letters in the word "payment" can be arranged using 5 letters, we can utilize the concept of permutations.

A permutation is an arrangement of objects where the order matters. In this case, we want to arrange the letters of the word "payment" using only 5 out of the 7 letters available. To calculate the number of arrangements, we use the formula for permutations: nPr = n! / (n - r)!, where n is the total number of objects (letters) and r is the number of objects to be selected (5 in this case).

In the word "payment," there are 7 letters. Therefore, we have 7 options to choose from for the first position, 6 options for the second position, 5 options for the third position, 4 options for the fourth position, and 3 options for the fifth position. Hence, the number of arrangements is:
7P5 = 7! / (7 - 5)! = 7! / 2! = 7 * 6 * 5 * 4 * 3 = 2,520. Therefore, there are 2,520 different ways to arrange the letters of the word "payment" using only 5 letters.

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The number of independent pieces of information used to calculate a statistic is called the degrees of freedom, which is frequently denoted by the letters v or df. I

Itbis determined by subtracting the number of restrictions from the sample size. Subtract the number of relations from the number of observations to determine degrees of freedom. You need to deduct one (1) from the total number of observations, n, in order to calculate the degrees of freedom for a sample mean or average.

The degrees of freedom for the chi-square are calculated as df = (r-1)(c-1) where

r = the number of rows

c = the number of columns.

If the observed chi-square test statistic is greater than the critical value, the null hypothesis can be rejected.

Note that an overview was given as the information you gave is incomplete.

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A wheel of 28 cm diameter must rotate 400 times to go 352 m.

Let 'r' represents the radius, 'd' represents the diameter of the wheel.

Here, d = 28 cm

So, r = 14 cm

Let us assume that a wheel needs to rotate 'n' number of times.

We know that the formula for the circumference of circle is 2πr

Let 's' represents the circumference of wheel.

Using above formula,

s = 2 × π × r

s = 2 × 22/7 × 14

s = 44 × 2

s = 88 cm

Now we find the value of n.

First we convert the distance 352 m in centimeters.

352 m = 35200 cm

n = 35200 / s

n = 35200/88

n = 400

Therefore, a wheel must rotate 400 times.

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The product of a rational and an irrational number can be either rational or irrational, depending on the specific numbers involved.

To illustrate this, let's consider an example:

Let's say we have the rational number 2/3 and the irrational number √2.

Their product would be (2/3) * √2.

In this case, the product is irrational.

The square root of 2 is an irrational number, and when multiplied by a rational number, the result remains irrational.

However, it's also possible to have a product of a rational and an irrational number that is rational. For example, if we consider the rational number 1/2 and the irrational number √4, their product would be (1/2) * 2, which equals 1. In this case, the product is a rational number.

Therefore, we cannot make a definitive statement that the product of a rational and an irrational number is always rational or always irrational. It depends on the specific numbers involved in the multiplication.

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Answer:

Aired

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

To rotate triangle ABC about the origin 90° clockwise we would follow the rule (x,y) → (y,-x), where the y-value of the original point becomes the new x-value and the x-value of the original point becomes the new y-value with the opposite sign.

Answer:

Dylan's Candy Bar

Step-by-step explanation:

Dylan's candy shop has the better price because it has q better rate than Sweet Shack. Sweet Shack's rate is .50 cents for each candy while as Dylan candy bar sells each piece of candy for .40 cents.

Answer: Dylan's candy bar is a better deal.

Step-by-step explanation:

If you buy 30 candies from both shops you will end up spending 12 dollars at Dylan's Candy Bar while if you bought 30 candies from sweet shack you will spend $15.

The missing part of the equation is \(-7.0\times10^4 s^2kg⋅m^2 / 1000000.\)

To fill in the missing part of the equation, let's analyze the given information and the desired conversion. The equation is:

\((-7.0\times 10^4 s^2g⋅m^2)\cdot \pi = ? s^2kg\cdot m^2\)

In this equation, we have a quantity expressed in\(s^2g\cdot m^2\) units on the left-hand side. To convert it to \(s^2kg\cdot m^2\) units, we need to multiply it by a conversion factor.

To perform the conversion, we can use the fact that 1 kg is equal to 1000 g. Therefore, the conversion factor we need is:

1 kg / 1000 g

To ensure that the units cancel out correctly, we need to square this conversion factor because we have \(s^2g\cdot m^2\) on the left-hand side. So the missing part of the equation is:

\((-7.0\times 10^4 s^2g\cdot m^2)\cdot \pi = (-7.0\times 10^4 s^2g\cdot m^2)\cdot (1 kg / 1000 g)^2\)

Simplifying this expression, we get:

\((-7.0\times10^4 s^2g\cdot m^2)\cdot \pi = -7.0 \times10^4 s^2kg\cdot m^2 / 1000000\)

Therefore, the missing part of the equation is \(-7.0 \times 10^4 s^2kg\cdot m^2 / 1000000.\)

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Answer: a>l and a<164

Step-by-step explanation:

The first one is that because Andre’s height is greater than Lin’s (the letters represent their names, but if the paper says to use other variables, do that)

The second one is because Andre’s height is less than his teacher’s, which is 164. For that one, you could also do 164> a, but I’d go with the first one.

Hope this helps :D

Answer:

3 buses are needed.

Step-by-step explanation:

If there are only 2 buses, it would be full, but there would still be 12 students without a bus. To take all students, you'd need 3 buses. 2 buses will be full, and the other bus would only have 12 students.

Answer:3 buses

Step-by-step explanation:

Because 50+50 is 100 which is two buses

But there are 12 students left so you need 1 more buses

10pack------------>$17.35

1 pack-------------->x

using cross multiplication

10/1 = 17.35/x

Solving for x:

x = 17.35/10 = $1.735

Therefore each pack costs $1.735

If a = 2b and b is 14% of c, then a is 28% of c.

This means that a is 28% of the total value of c.

Let's break down the given information step by step to determine the relationship between a, b, and c and find the percentage of a in relation to c.

Given:

a = 2b

b = 14% of c

We can substitute the value of b from the second equation into the first equation to express a solely in terms of c:

a = 2(14% of c)

a = 2(0.14c)

a = 0.28c

Now we have expressed a in terms of c.

To find the percentage of a in relation to c, we can calculate the ratio of a to c and multiply by 100 to express it as a percentage:

Percentage of a in relation to c = (a / c) * 100

Percentage of a in relation to c = (0.28c / c) * 100

Percentage of a in relation to c = 0.28 * 100

Percentage of a in relation to c = 28%

Therefore, a is 28% of c.

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To determine the reliability factor based on the t-distribution for a 97% confidence interval and a sample size of 35, we need to find the critical value associated with a two-tailed test.

Since the confidence level is 97%, we can find the significance level (α) by subtracting the confidence level from 1:

α = 1 - 0.97 = 0.03

Since it's a two-tailed test, we divide the significance level by 2 to find each tail's area:

α/2 = 0.03/2 = 0.015

With a sample size of 35, we have n - 1 degrees of freedom, which is 35 - 1 = 34.

Now, we can look up the critical value in the t-distribution table or use statistical software to find the value associated with a 0.015 area in the tails, with 34 degrees of freedom.

Using the t-distribution table or a calculator, the reliability factor for a 97% confidence interval and a sample size of 35 is approximately 2.4049 (rounded to four decimal places). When rounded to two decimal places as requested, the reliability factor is 2.40.

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The answer is: A) The data support the researchers' belief that night owls have better dream recall than early birds. B) we can be 92% confident that the true difference in mean number of dreams recalled per week between night owls and early birds is between 1.87 and 2.63.

A) These are the alternative and null hypotheses:

H0: μE = μN (the mean number of dreams recalled each week is the same for early birds and night owls) (the mean number of dreams recalled per week is the same for early birds and night owls)

Ha: μE < μN (the mean number of dreams recalled each week is smaller for early birds than for night owls) (the mean number of dreams recalled per week is lower for early birds than for night owls)

Using the following formula, we can run a two-sample t-test with unequal variances:

t = [(sN2 / nN) + (sE2 / nE)] / sqrt[(xN - xE)]

where nN and nE are the sample sizes for night owls and early birds, respectively, and xN and sN and xE and sE are the sample means and standard deviations for night owls and early birds, respectively.

When we enter the values, we obtain:

t = (9.55 - 7.26) / sqrt[(5.88^2 / 100) + (6.94^2 / 100)] = 5.01

The data are consistent with the researchers' hypothesis that night owls are more capable of remembering their dreams than early birds.

B) We can use the following formula to determine the confidence interval:

CI is equal to (xN - xE) t/2 * sqrt[(sN / nN) + (sE / nE)].

where t/2 is the t-value for the required level of confidence and degrees of freedom, and xN, xE, sN, sE, nN, and nE are the same as previously (198 in this case).

With a t-value of 1.75 and a 92% confidence level (from a t-distribution with 198 degrees of freedom), we get:

CI is equal to (9.55 - 7.26) 1.75 * sqrt[(5.88 - + 6.94 / 100)] = (1.87, 2.63) (1.87, 2.63)

The genuine difference between night owls and early birds in terms of the average number of dreams recalled per week is therefore between 1.87 and 2.63, with a 92% confidence interval.

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Answer:

Distance is 2.2.

Step-by-step explanation:

Use the Pythagorean theorem.

\(Distance=\sqrt{(6-4)^{2} +(2-1)^{2} } =\sqrt{4+1} =\sqrt{5}=2.23\)

Answer:

turn them into equivalent fractions with a common denominator.

2/9 and 5/6 common denominator that we can use is 18.

what you do to the denominator must be done to the numerator.

so to get from 9 to 18 we multiply by 2. this needs to be done to the numerator.

2 X 2 = 4 the fraction should now be 4/18

to get from 6 to 18 we multiply by 3 again do same to numerator. should now be 15/18

now compare the two

4/18 and 15/18. now we know that 5/6 is bigger than 2/9.