when rounding to the nearest hundred what is the greatest whole number that rounds to 500?

Answer:

D

Step-by-step explanation:

Because I know

Answer:

1. The bar interval is correct, the height does not need to be changed.

2. The bar interval is not correct, the height has to change higher by 1.

3. The bar interval is not correct, the height has to change lower by 1.

4. The bar interval is correct, the height does not need to be changed.

I hope this helped

Answer:

it's 2$ per guest

he needs 2$ for any guest

Answer:

119 minutes

Step-by-step explanation:

First let's get rid of the starting fee of $2

\(16.28 - 2 = 14.28\)

Then divide 14.28 by 0.12 ($14.28 ÷ $0.12)

\(14.28\) ÷ \(0.12 = 119\)

Thus Dante rode the scooter for 119 minutes

The number of minutes that Dante rode the scooter will be 119 minutes.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

For a ride on a rental scooter, Dante paid a $2 fee to start the scooter plus 12 cents per minute of the ride.

Let x be the number of minutes and y be the total amount.

y = 0.12x + 2

The total bill for Dante's ride was $16.28. Then the number of minutes that Dante rode the scooter will be

16.28 = 0.12x + 2

14.28 = 0.12x

x = 119 minutes

The number of minutes that Dante rode the scooter will be 119 minutes.

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doo

doooo doooooooo

Step-by-step explanation:

Answer:

\(\mathrm{88 + v}\)

The solution to all three parts is shown below.

Part A:

For Mountain View School:

Mean = (12+18+19+21+23+24+24+25+25+26+27+28+30)/13 = 23

Median = 24

Mode = 24 and 25

For Bay Side School:

Mean = (5+6+8+10+12+14+15+16+18+20+20+22+23+25+42)/15 = 17.4

Median = 16

Mode = 20

For Mountain View School:

Range = 30-12 = 18

Interquartile Range (IQR) = Q3-Q1 = 27-21 = 6

Variance = [(12-23)² + (18-23)² + ... + (30-23)²]/13 = 32.92

Standard Deviation = √(Variance) = 5.74

For Bay Side School:

Range = 42-5 = 37

Interquartile Range (IQR) = Q3-Q1 = 22-10 = 12

Variance = [(5-17.4)² + (6-17.4)² + ... + (42-17.4)²]/15 = 194.16

Standard Deviation = √(Variance) = 13.93

Part C:

If someone is interested in a larger class size, they should choose Mountain View School as it has a higher mean and median class size compared to Bay Side School.

However, if they also want more variability in class size, they should choose Bay Side School as it has a larger range and standard deviation.

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Answer:

$54.60

Step-by-step explanation:

45.50*.20=9.10

9.10+45.50=54.60

Answer:

The total cost of his bill is ($54.60)

Step-by-step explanation:

1. First, you multiply 20 by 45.50 to get 910.

2. Next you move the decimal space two times to the left to get 9.10

3. Then you add the amount of the tip ($9.10) on to the origanal cost to get your answer ($54.60)

For the given Z-transform X(z) = 2 + 3z^(-1) + 4z^(-2), the initial value and final value of the corresponding sequence x(n) can be determined. The initial value of x(n) is 2, and the final value of x(n) is 0.

To find the initial value of the sequence x(n), we need to calculate the coefficient of z^0 in the Z-transform X(z). In this case, the coefficient of z^0 is 2, so the initial value of x(n) is 2. To determine the final value of the sequence x(n), we need to evaluate the limit as z approaches infinity. Since the Z-transform X(z) is a rational function, the final value of x(n) can be found by evaluating the limit of the numerator divided by the limit of the denominator as z approaches infinity. In this case, as z approaches infinity, the terms 3z^(-1) and 4z^(-2) become negligible compared to the constant term 2. Therefore, the final value of x(n) is 0. In summary, the initial value of x(n) is 2, indicating the value of the sequence at n = 0, and the final value of x(n) is 0, indicating the value of the sequence as n approaches infinity.

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Answer:

9=x

Step-by-step explanation:

15=2x-3

Answer:

h = 440.94 feet

Step-by-step explanation:

It is given that,

An architect is standing 370 feet from the base of a building, x = 370 feet

The angle of elevation is 50°.

We need to find the approximate height of the building. let it is h. It can be calculated using trigonometry as follows :

\(\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=370\times \tan50\\\\h=440.94\ \text{feet}\)

So, the approximate height of the building is 440.94 feet

True. The coefficient of variation is a better measure of risk than the standard deviation if the expected returns of the securities being compared differ significantly.

The coefficient of variation (CV) is a relative measure of risk that takes into account the standard deviation and the mean of a distribution. It is a better measure of risk than the standard deviation when comparing securities with significantly different expected returns because it adjusts for the differences in the means.

The CV is calculated as the ratio of the standard deviation to the mean, and it allows for the comparison of the risk of investments with different expected returns on a standardized basis. Therefore, it is a useful tool for investors who want to compare the risk of investments that have different levels of expected returns. However, it should be noted that the CV has limitations and should not be the sole measure of risk used in investment analysis.

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Answer:

you weren't clear if we have to solve for x or y so I did both of them. hope this helps!

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

if you take 20 divided by 2.50 it'll give you 8. So she can buy 8 fish at 2.50 a piece with 20 dollars.

Answer:

Step-by-step explanation:

There are 4 different colors of pants.

There are 2 sweaters.

The total number of ways of making a particular pair of pants and a sweater = 4 * 2 = 8

Answer: there are 8 combinations of clothing

Answer:

32n = 100 - 20

n = 2.5

he purchased 2 sweaters

Step-by-step explanation:

32n = 100 - 20

If Favian originally had $100 but spent $20 on a belt, he only had 80 left, meaning that 80 = 32n which means that he was able to but 2 sweaters and got $16 back. Therefore the formula would be 32n = 100 - 20

The formula for the number of sweaters will be 32n = 100 – 20.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Favian received a $100 gift card to a clothing store.

Using only the gift card, he was able to purchase n sweaters that cost $32 each and 1 belt for $20.

If there was no tax on the sweaters and belt,

Then the equation will be

32n + 1 x 20 = 100

    32n + 20 = 100

             32n = 80

                 n = 2.5 ≈ 2

If Favian originally had $100 but spent $20 on a belt, he only had 80 left, meaning that 80 = 32n, which means that he was able to but 2 sweaters and got $16 back.

Therefore, the formula would be 32n = 100 – 20.

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Answer:

=2x+7y+12

Step-by-step explanation:

Answer:

7y+2x+12

Step-by-step explanation:

Answer:

0.6778 to 4 dec. places.

Step-by-step explanation:

That is  387 / (184+387)

= 387 / 571

= 0.677758

The actual calculation depends on the specific vector field you are working with. You need to substitute the appropriate expressions for P and Q into the integrals and evaluate them accordingly.

To evaluate the line integral around the clockwise-oriented triangle with corners at the origin (0,0), (1,0), and (0,1), we need to sketch the vector field and the triangle and then calculate the integral.

Next, let's assume there is a vector field defined over the plane. Since you haven't provided the vector field explicitly, let's use a general notation and consider a vector field F = (P, Q), where P and Q are functions of x and y.

To calculate the line integral, we need to parameterize the triangle. We can divide the triangle into three line segments and parametrize each segment separately.

Line segment from (0,0) to (1,0):

Let's parameterize this segment as r(t) = (t, 0), where 0 ≤ t ≤ 1.

Line segment from (1,0) to (0,1):

Let's parameterize this segment as r(t) = (1 - t, t), where 0 ≤ t ≤ 1.

Line segment from (0,1) to (0,0):

Let's parameterize this segment as r(t) = (0, 1 - t), where 0 ≤ t ≤ 1.

Now, we can calculate the line integral for each segment and sum them up:

Line integral along the first segment:

\(\int(0 to 1) P(t, 0) dt + \int(0 to 1) Q(t, 0) dt\)

Line integral along the second segment:

\(\int(0\: to \:1) P(1 - t, t) dt + \int(0 \:to\: 1) Q(1 - t, t) dt\)

Line integral along the third segment:

\(\int(0 \:to \:1) P(0, 1 - t) dt + \int(0\: to \:1) Q(0, 1 - t) dt\)

Finally, the total line integral around the triangle is the sum of these three line integrals:

Total Line Integral = Line integral of segment 1 + Line integral of segment 2 + Line integral of segment 3

Please note that the actual calculation depends on the specific vector field you are working with. You need to substitute the appropriate expressions for P and Q into the integrals and evaluate them accordingly.

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Upon calculating the sum up to the appropriate term, we find that the sum is approximately 0.0713. So, the correct answer is a. 0.0713

It seems like there is a typo in the series notation. I assume the series you are referring to is ∑(2(-1)^n-1)/(12n^2 + 1) from n=1 to infinity. In this case, we can determine the sum using a well-known function and round the answer to four decimal places. Since the given series is an alternating series, we can use the Alternating Series Estimation Theorem to determine an approximation for the sum. The theorem states that if the absolute difference between consecutive terms is decreasing and the limit of the terms as n approaches infinity is zero, the approximation for the sum is accurate up to the first term that is less than or equal to the desired error bound (in this case, 0.0001). For this series, we can see that the absolute difference between consecutive terms decreases as n increases and the limit as n approaches infinity is zero. So, we can find the smallest value of n for which the term is less than or equal to 0.0001 and calculate the sum up to that term.

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Answer:

a) 30 squares

b) C

Step-by-step explanation:

a) I got 30 on a because if you see how many squares the "Yes" side has, it has 4. You simply divide the 20 people in the "Yes" side by 4 and you have 5. Now we know how much people are in each of the squares. If we see how many squares the "No" side has, it has 6. You multiply 5 by 6 and you get 30 squares.

b) It's simply just seeing how many squares are in each one and making it match up with the graph.

Hope this helps!

Answer:

yes

Step-by-step explanation:

there are two sets of parrelell line
i might have spelled it wrong

The parallelogram is ABCD with the sides AD parallel to BC

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the figure be represented as ABCD

Now , the sides AD and BC are parallel to each other

And , from the figure , we can say that the sides AB is parallel to CD

Therefore , the figure ABCD is a parallelogram

And , opposite sides of a parallelogram are parallel

Hence , the figure ABCD is a parallelogram

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The instantaneous rate of change of f is equal to the average rate for only one value of x in the open interval (0, 1.565), which is x = 0.3925.

To find the values of x where the instantaneous rate of change of f is equal to the average rate, we need to compare the derivative of f with the average rate formula.

The average rate of change of f on the interval (a, b) is given by:

Average rate = (f(b) - f(a))/(b - a)

In this case, the interval is (0, 1.565), so a = 0 and b = 1.565. Substituting these values into the average rate formula, we have:

Average rate = (f(1.565) - f(0))/(1.565 - 0)

To find the instantaneous rate of change, we need to calculate the derivative of f. Taking the derivative of f(x) = (1/4)x², we get:

f'(x) = (1/4) * 2x = (1/2)x

Now we equate the average rate and the derivative:

(1/2)x = (f(1.565) - f(0))/(1.565 - 0)

Simplifying this equation, we have:

(1/2)x = (f(1.565) - f(0))/1.565

To solve for x, we substitute f(x) with its expression:

(1/2)x = ((1/4)(1.565)² - (1/4)(0)²)/1.565

(1/2)x = (1/4)(1.565)²/1.565

Simplifying further:

(1/2)x = (1/4)(1.565)

(1/2)x = 0.19625

Multiplying both sides by 2:

x = 0.3925

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Answer: 25.12 inches

Step-by-step explanation:

C=2πr

8/2=4

2(3.14)(4)

2(12.56)

25.12

Answer:

25.12 inches

Step-by-step explanation:

So, the formula for circumference is πd (or πr² whichever you prefer. We already have the diameter, so we do π x d, which is π x 8 inches, which is equal to 25.12 inches.

This is correct only if you use π as 3.14 hope this helps :)

Answer:

m<A = 120°

m<C = 45°

Step-by-step explanation:

We can use the triangle sum theorem to find the measures of the angles.

m<A + m<B + m<C = 180°

Then substitute in their given values.

12x + 12 + 15 + 3x + 18 = 180°

Now simplify the equation and you get

15x + 45 = 180°

Continue to solve

15x = 135

x = 9°

Now substitute this value of 9 for the angle expressions of <A and <C

(12 x 9) +12 = m<A

m<A = 120°

(3 x 9)+ 18 = m<C

m<C = 45°

Hope this helps. To check your answer you can add up all the answers to see if it equals 180°.

x - 3y = -11
-x + 2y = 7

We minus these equations : x - 3y - (-x + 2y) = -18

= x - 3y + x - 2y = -18
2x - 5y = -18

Now, we add these equations :

x - 3y = -11
-x + 2y = 7
-> x - 3y - x + 2y = -4
-y = -4
y = 4

Replace it in 2x - 5y = -18

2x - 20 = -18

2x = -18 + 20 = 2
x = 1

Recheck : 1 - 3 x 4 = -11

-1 + 8 = 7.

Approximately 17 students who took the optional class passed their driver's test.

Let's solve this problem step by step.

We are given the following information:

28 out of 75 students who took the optional class passed their driver's test.

8 out of 15 students overall passed their driver's test.

3 out of 5 students took the optional class.

To find the number of students who took the optional class and passed, we need to calculate the intersection of these two groups.

First, let's calculate the total number of students who took the optional class:

Total students who took the optional class = (3/5) \(\times\) Total number of students

Total students who took the optional class = (3/5) \(\times\) 75 = 45

Now, let's calculate the total number of students who passed their driver's test:

Total students who passed their driver's test = (8/15) \(\times\) Total number of students

Total students who passed their driver's test = (8/15) \(\times\) 75 = 40

Next, let's find the number of students who both took the optional class and passed their driver's test.

This can be found by taking the intersection of the two groups:

Number of students who took the optional class and passed = (28/75) \(\times\)Total students who took the optional class

Number of students who took the optional class and passed = (28/75) \(\times\)45 = 16.8 (approximated to the nearest whole number).

Therefore, approximately 17 students who took the optional class passed their driver's test.

It's important to note that since we're dealing with whole numbers, the approximated answer is 17, as we cannot have a fraction of a student.

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Answer:

First son receives $15000

Second son receives $8000

Third son receives $7000.

Step-by-step explanation:

Let first son receive $x and deposit it at 7%

Second son receive $y and deposit in 8%

Third son receive $z and deposit in 6%

Now, let's set up equation using the given information.

The second son share is 1000 more than the third son.

So, we can set up equation as

y= 1000+z

First son share is equal the second son and the third son put together.

So, x=y+z

And we can set up equation for total 30000 as

x+y+z=30000

Plug in y as 1000+z and x as y+z

We get third equation as

y+z+1000+z+z=30000

Plug in again y as 1000+z

It gives,

1000+z+z+1000+z+z=30000

Combine like terms,

2000+4z=30000

Subtract both sides 2000

4z=28000

Divide both sides by 4

z=7000

Now, plug in z as 7000 into y=1000+z to get y =8000

Now, x =y+z plug in the y and z values

x= 8000+7000=15000

Let's check with interest,

15000(7%)+8000(8%)+7000(6%)=2110

1050+640+420= 2110

2110=2110.

Yes! The calculations are correct!

Answer:

1) The height of the ball from 0 to 5  seconds are;

At t = 0 second, height = 2

At t = 1 second, height h = 22.1

At t = 2 seconds, height h = 32.4

At t = 3 seconds, height h = 32.9

At t = 4 seconds, height h = 23.6

At t = 5 seconds, height h = 4.5

2)  The correct option is;

D. -16·t² + 25·t + 1

Step-by-step explanation:

1) The equation of motion of the ball is given as follows;

H(t) = -4.9·t² + 25·t + 2

The height of the ball from 0 to 5 seconds are;

H(0) = -4.9×(0)² + 25×(0) + 2 = 2

H(1) = -4.9×(1)² + 25×(1) + 2 = 22.1

H(2) = -4.9×(2)² + 25×(2) + 2 = 32.4

H(3) = -4.9×(3)² + 25×(3) + 2 = 32.9

H(4) = -4.9×(4)² + 25×(4) + 2 = 23.6

H(5) = -4.9×(5)² + 25×(5) + 2 = 4.5

Therefore, we have;

The height of the ball are

At t = 0 second, height = 2

At t = 1 second, height h = 22.1

At t = 2 seconds, height h = 32.4

At t = 3 seconds, height h = 32.9

At t = 4 seconds, height h = 23.6

At t = 5 seconds, height h = 4.5

2) Given that the equation of the ball is that of a projectile motion, such as follows;

h = h₀ + v₀·sin(θ₀)·t - 1/2·g·t² which is equivalent to h = -1/2·g·t²+ h₀+v₀·sin(θ₀)·t

it is best represented by the quadratic equation of an upside down parabola which is option D. -16·t² + 25·t + 1