Find the range of the relation.

A. {-6, -5, -3, -1, 0, 3, 6}

B. {-6, 6}

C. {-6, -3, 0, 3, 6}

D. {-5, -3, -1, 1, 3}

Answer:

48

Step-by-step explanation:

First you would subtract 9 from 393 which is 384 then you would divide the 384 remaining student among the 8 busses which is 48.

Hope this helps.

The rate at which the water level is rising when the water level is 6 cm is approximately 2.67 cm/s. if an inverted pyramid is filled with water at a constant rate of 55 cubic centimeters per second, the top of pyramid is in square shape with length of 8 cm and height of 14 cm.

Let's call this rate "r".

Volume of pyramid = (1/3) * base area * height

Since the pyramid has a square base, the base area is given by

Base area = (side length)^2

Substituting the given values

Base area = (8 cm)^2 = 64 cm^2

Height = 14 cm

V = (1/3) * 64 cm^2 * 14 cm = 298.67 cm^3

We know that the water is being added to the pyramid at a constant rate of 55 cm^3/s. Therefore, the rate at which the volume is increasing is

dV/dt = 55 cm^3/s

We also know that the volume of water in the pyramid at any given time is given by

V_water = (1/3) * base area * h_water

where h_water is the height of the water at that time.

To find the rate at which the water level is rising (r), we need to find dh_water/dt. We can do this by taking the derivative of both sides of the equation for V_water with respect to time

dV_water/dt = (1/3) * base area * dh_water/dt

Substituting the known values

dV_water/dt = (1/3) * (8 cm)^2 * dh_water/dt

dV_water/dt = (64/3) cm^2 * dh_water/dt

dh_water/dt = 3 * dV_water/dt / 64

dh_water/dt = 3 * 55 cm^3/s / 64 = 2.67 cm/s

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Answer: x=(±2√21)-8

Step-by-step explanation:

Add 104 to both sides so we can get x^2+16x+64

x^2+16x+64=104

then factor

(x+8)^2=104

square root both sides

x+8=±√104

simplifying the radical and subtracting 8 gets us this

x=(±2√21)-8

Hope this helps!

Answer:

Step-by-step explanation:

it will take 10 years for your Salary to double, given the annual raise of $1,700.

We need to determine in how many years your salary will double if you make $17,000 and receive $1,700 raises each year.

Step 1: Determine the target salary.
To find out when your salary will double, we first need to determine the target salary. Since your starting salary is $17,000, the doubled amount would be:

$17,000 * 2 = $34,000

Step 2: Calculate the annual increase in salary.
You receive a raise of $1,700 each year. We can represent the increase in salary in the following equation, where 'n' represents the number of years:

Salary = $17,000 + ($1,700 * n)

Step 3: Set the target salary equal to the annual increase in salary equation.
Now, we need to find out when your salary will reach $34,000. We can set the target salary equal to the annual increase in salary equation:

$34,000 = $17,000 + ($1,700 * n)

Step 4: Solve for 'n'.
Now, we will solve for 'n' to determine the number of years it will take for your salary to double:

$34,000 - $17,000 = $1,700 * n
$17,000 = $1,700 * n
n = $17,000 / $1,700
n = 10

So, it will take 10 years for your salary to double, given the annual raise of $1,700.

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Answer:

Her mistake was in how many bags would be able to equally hold 4 bars.

325/4 is 81.25, which would mean there needs to be 82 bags, in which you wouldnt be able to hold 4 each equally.

A better option for Paz is to put 5 bars in each bag as 325 is an even multiple of 5. As such would result in the bag count being brought down to 65 bags to evenly hold all of the bars.

Hope this helped!

Answer:

17.39%.

Step-by-step explanation:

As a percentage (rounded to two decimal places):

A decrease of 17.39%.

Answer:

107 hamburgers

Step-by-step explanation:

Let's call hamburgers A and cheese burgers B.

We know that A + B = 321

And that the number of cheeseburgers sold was two times the number of hamburgers sold which means ->  B = 2A

So A + 2A = 321

3A = 321

Now you need to divide both sides of the equation by 3 and you get:

A= 107

If the X is the discrete uniform random variable the probability that X is greater than or equal to 10 is 0.2308. Option C is the correct answer.

If X is a discrete uniform random variable ranging from 0 to 12, then the probability mass function of X is given by:

P( X ≥ 10)

f(x) = 1 / 13

x=0,1,2,...,12

The probability that X is greater than or equal to 10 is given by:

P( X ≥ 10) \(= P( X = 10 ) + P( X = 11 ) + P( X = 12 )\)

\(= f( 10 ) + f( 11 ) + f( 12 )\)

\(= 1 / 13​ + 1 /13 ​+ 1 / 13\)

= 3 / 13

= 0.2308

Therefore, The probability that X is greater than or equal to 10 is approximately 0.2308 or 3 / 13.

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Answer:

Step-by-step explanation:

Mode is the one that occurs the most.

Stem is first number repeated for leaf

so your list of numbers is

10,12,12,22,23,24,30

The one that occurs the most is 12.  So your mode is 12.

If there are multiple numbers that are "most" then there is no mode.

Answer:

\(B = 108\)

\(C = 36\)

\(D = 36\)

Step-by-step explanation:

Given

\(B =13x - 35\)

\(C = 5x - 19\)

\(D=2x+14\)

\(BC = BD\)

Required

Determine the measure of each angle

The angles in a triangle sum up t 180. i.e.

\(B + C + D = 180\)

Since \(BC = BD\), then \(C = D\)

\(B + C + D = 180\) can then be rewritten as:

\(B + C + C = 180\)

\(B + 2C = 180\)

Substitute values for B and C

\(13x - 35 + 2(5x - 19) = 180\)

Open Bracket

\(13x - 35 + 10x - 38 = 180\)

Collect Like Terms

\(13x + 10x = 180 + 38 + 35\)

\(23x= 253\)

Divide both sides by 23

\(x = 11\)

To get the measure of each angle, substitute 11 for x in the expressions of B, C and D

\(B =13x - 35\)

\(B = 13 * 11 - 35\)

\(B = 108\)

\(C = 5x - 19\)

\(C = 5 * 11 - 19\)

\(C = 36\)

\(D=2x+14\)

\(D = 2 * 11 + 14\)

\(D = 36\)

The measure of m<B, m<C and m<D are 108, 36 and 46 respectively

From the triangle BCD, if BC=BD, then

m<C = m<D (Base angles are equal)

Given the following paramters:

Hence;

5x - 19 =2x + 14

5x- 2x = 14 + 19

3x = 33

x = 11

m<B = 13x - 35

m<B = 13(11) - 35

m<B = 108 degres

m<C = 5x - 19

m<C = 55- 19

m<C = 36

m<D = 180 - 144

m<D = 36 degreees

Hence the measure of m<B, m<C and m<D are 108, 36 and 46 respectively

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Answer:

The answer is 18 hours

Step-by-step explanation:

3 hours x 6 days

3x6 = 18

To price the derivative using the two-period binomial model, we need to calculate the expected payoff of the derivative using the risk-neutral probabilities.

The possible outcomes for the two-period binomial model are H and T,  there are four possible states of the world: HH, HT, TH, and TT.

To calculate the expected payoff we need to calculate the probability of each state occurring. The probability of HH occurring is pp=0.60.6=0.36, the probability of HT and TH occurring is pq+qp=0.60.4+0.40.6=0.48, and the probability of TT occurring is qq=0.40.4=0.16.

Next, we can calculate the expected payoff in HH and TT states, the derivative pays off 1, and in the HT and TH states, the derivative pays off 0. The expected payoff of the derivative in the HH and TT states is 10.36=0.36, and the expected payoff in the HT and TH states is 00.48=0.

We need to discount the expected payoffs back to time 0 using the risk-neutral probabilities.

The probability of that state occurring multiplied by the discount factor, which is 1/(1+r), where r is the risk-free interest rate.

Since this is a risk-neutral model, the risk-free interest rate is equal to 1. Therefore, the risk-neutral probability of each state occurring is

HH: 0.36/(1+1) = 0.18

HT/TH: 0.48/(1+1) = 0.24

TT: 0.16/(1+1) = 0.08

Finally, we can calculate the price of the derivative

Price = 0.181 + 0.240 + 0.240 + 0.081 = 0.26

Therefore, the price of the derivative is 0.26.

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Step-by-step explanation:

Write an equation, of the slope intercept form. of the line passing through the points (2,3) and (4.6)

The solution of the given inequality is h > 4.5 and it is shown by the blue-shaded line in the number line.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

As per the given inequality,

2 > 8 - (4/3)h

Subtract both sides by 2

0 > 8 - 2 - (4/3)h

0 > 6 - (4/3)h

Subtract 6 on both sides,

-6 > -(4/3)h

Multiply by -3/4

-6(-3/4) <-(4/3)(-3/4)h   (since inequality sign changes by multiplying with negative)

h > 18/4

h > 4.5

The plot of this region in the number line is shaded with a blue line.

Hence "The solution of the given inequality is h > 4.5 and it is shown by the blue-shaded line in the number line.".

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The simplified ratio of corydoras catfishes to the total number of fish is 9:34, which is equivalent to 0.26:1 or approximately 1:3.88.

To find the ratio of corydoras catfishes to the total number of fish, we need to add up the number of corydoras catfishes to the total number of fish, and express the ratio as a simplified fraction.

The total number of fish is 7 + 12 + 4 + 11 = 34.

The ratio of corydoras catfishes to the total number of fish is 9:34.

To simplify this ratio, we can divide both sides by the greatest common factor, which is 1 in this case.

So the simplified ratio of corydoras catfishes to the total number of fish is 9:34, which is equivalent to 0.26:1 or approximately 1:3.88.

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Answer:

B) ∠EFG is an interior angle of ΔEFG.

C) ∠FEZ is an exterior angle of ΔEFG.

E) ∠EGF and ∠FGY are supplementary angles.

Step-by-step explanation:

EDG 2020

Answer:

B) ∠EFG is an interior angle of ΔEFG.

C) ∠FEZ is an exterior angle of ΔEFG.

E) ∠EGF and ∠FGY are supplementary angles.

Step-by-step explanation:

person above me is correct!

The lengths of the two boards (234 inches and 246 inches) and adding them together, we find that the combined length of the boards is 480 inches.

To find the total length of the two boards, you need to add their individual lengths together.

Step 1: Identify the length of each board. The first board is 234 inches long, and the second board is 246 inches long.

Step 2: Add the lengths of the boards together.

234 (length of first board) + 246 (length of second board) = 480

So, the total length of the two boards on the shelf is 480 inches. This means that if you were to place the two boards end-to-end, they would cover a distance of 480 inches.

In summary, by identifying the lengths of the two boards (234 inches and 246 inches) and adding them together, we find that the combined length of the boards is 480 inches. This calculation helps us understand the total amount of space the boards would occupy if placed side by side.

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Answer:

-61

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write expression

-18/-6 + 8 × - 8

Step 2: Divide

3 + 8 × -8

Step 3: Multiply

3 - 64

Step 4: Subtract

-61

Answer:

If instructed to simplify the question, your answer is -5+8x.

Step-by-step explanation:

-18 divided by -6 equals positive 3.

3 + 8x -8 would become -5+8x, because 3 minus 8 is -5. Hope this helps!

Answer:

The number of times signal a beeps in 1 hour = 144 times

The number of times signal b beeps in 1 hour = 120 times

The number of times signal c beeps in 1 hour = 36 times

The number of times three signals bee in one hour = 12 times

Step-by-step explanation:

The given parameters are;

The period for each signals beep are;

Signal a beeps every 25 seconds

Signal b beeps every 30 seconds

Signal c beeps every 100 seconds

Therefore, in one hour, signal a will beep 1× 60 × 60/25 = 3600/25 = 144 times

In one hour, signal b will beep 1×60×60/30 = 3600/30 = 120 times

In one hour, signal c will beep 1×60×60/100 = 3600/100 = 36 times

Therefore, we have;

The number of times signal a beeps in 1 hour = 144 times

The number of times signal b beeps in 1 hour = 120 times

The number of times signal c beeps in 1 hour = 36 times

From Excel, we can see that the three signals beep the same time at 300, 600, 900, 1200, 1500, 1800, 2100, 2400, 2700, 3000, 3300, and 3600

The number of times three signals bee in one hour = 12 times

signal a beeps every 25 seconds

signal b beeps every 30 seconds

signal c beeps every 100 seconds.

Answer to the above questions is 300,600,900 if the signal beep at the same time 12 times

Explanation to the above questions

we conclude that it will beep 12 times because 300,600,900,1200,1500,1800,2100,2400,2700,3000,3300,3600

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Rose walks 3.2 miles every day. How many miles will she have walked in 5 days?

3.2*5 = 16 miles

Christie was on a road trip. She travelled 320.95 miles on day one, 231.45 miles on day two, and 120.32 miles on day three. How many miles did she travel during her three-day trip?

320.95 + 231.45 + 120.32 = 672.72 miles

Hugh drove 774.4 miles. His car averaged 24.2 miles per gallon of gas. How many gallons of gas did the car use?

774.4/24.2 = 32 gallons

Answer:

yes

Step-by-step explanation:

What you don't know. which chapter is hard for you?

Answer:

what the quistion?

Step-by-step explanation:

sry i cant spell

The probability that the first time a battery damage is observed is during the third trial or later is 42.74%.

To solve this problem, we can use the geometric distribution, which models the number of trials until the first success in a sequence of independent trials. In this case, the probability of success is 0.24 (the probability of a battery damage) and the probability of failure is 0.76 (the probability of a glass screen damage).

The probability of observing a battery damage for the first time on the third trial or later can be calculated as the complement of the probability of observing a battery damage on the first or second trial.

The probability of observing a battery damage on the first trial is 0.24, and the probability of observing a battery damage on the second trial is (0.76)(0.24) = 0.1824 (the probability of no battery damage on the first trial times the probability of battery damage on the second trial). Therefore, the probability of observing a battery damage for the first time on the third trial or later is 1 - 0.24 - 0.1824 = 0.5776.

However, the question asks for the probability of observing a battery damage for the first time on the third trial or later, which means we need to take into account the fact that we may have observed a battery damage before the third trial. Therefore, we need to adjust our calculation by subtracting the probability of observing a battery damage for the first time on the first or second trial from our previous result.

The probability of observing a battery damage for the first time on the first or second trial is 0.24 + 0.1824 = 0.4224. Therefore, the probability of observing a battery damage for the first time on the third trial or later is 0.5776 - 0.4224 = 0.1552 or 15.52%.

Therefore, the probability that the first time a battery damage is observed is during the third trial or later is 42.74%

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Answer:

$3.33

Step-by-step explanation:

6 of them broke, he incurred a loss of $20 on selling them

$20/6=$3.33

The series ∑[infinity]n = 1(−1)^n−1x^n/n5^n has a radius of convergence of 5 and an interval of convergence of (-5, 5].

To find the radius of convergence and interval of convergence of the given series, we can use the ratio test. The ratio test states that for a power series ∑[infinity]n = 1 c_nx^n, if the limit of |c_(n+1)/c_n| as n approaches infinity exists, then the series converges if the limit is less than 1 and diverges if the limit is greater than 1.

Applying the ratio test to the given series, we have:

|((-1)^(n-1)x^(n+1)/((n+1)5^(n+1))) / ((-1)^(n-1)x^n/(n5^n))|

= |(-x/(n+1)(5/5))^n|

Taking the limit as n approaches infinity, we have:

lim (n→∞) |(-x/(n+1)(5/5))^n| = |x/5|

For convergence, we need |x/5| < 1, which implies |x| < 5. Therefore, the radius of convergence is 5.

To find the interval of convergence, we need to check the endpoints. When x = -5, the series becomes ∑[infinity]n = 1 (-1)^(n-1) / n, which is the alternating harmonic series. This series converges by the alternating series test. When x = 5, the series becomes ∑[infinity]n = 1 1/n, which is the harmonic series that diverges.

Hence, the interval of convergence is (-5, 5], including -5 and excluding 5.

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What best compares Alexi’s and Jonathan’s transformed figures are, that the change in order will result in the transformed image of figure L having a different location. This is further explained below.

We can translate a number in any direction by sliding it. When a shape is flipped over a straight line, we say that it is reflected. To rotate a figure is to turn it via some angle with respect to an origin point. When we dilate a number, we make it bigger or smaller.

Generally,  If we examine Alexi and Jonathan's transformations side by side, we may deduce that L will be formed differently in one of the two cases. If the sequence is switched, L will appear at a new place in the picture. So, the best answer is (d) "The converted picture of figure L will have a different position after the order change."

In conclusion, What best compares Alexi's and Jonathan's transformed figures is the fact that a change in order will result in a different place for the changed picture of figure L. This is the best comparison between Alexi's and Jonathan's transformed figures.

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Answer:d

Step-by-step explanation:

Answer:

The value of p(-a) must be 0

There is an x intercept of the function at (-a,0)

Step-by-step explanation:

(x + a) is a factor of a function p(x)

that means, that p(x) must have an x-intercept at the point x = -a

This can be written in two different ways,

If (x + a) is a factor of a polynomial function, p(x), then the two statements that are true are:

A factor of a polynomial function is a binomial that, when multiplied by another polynomial, gives the original polynomial function. If (x + a) is a factor of p(x), then p(x) can be written as (x + a)q(x), where q(x) is another polynomial function.

According to the Factor Theorem, if (x + a) is a factor of p(x), then p(a) = 0. This means that the value of the polynomial function at x = a is 0.

Additionally, if p(a) = 0, then there is an z-intercept of the function at (a,0). This is because the z-intercept is the point where the function crosses the z-axis, and this occurs when the value of the function is 0.

Therefore, the two statements that are true are "The value of p(a) must be 0" and "There is an z-intercept of the function at (a,0)".

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Option A: 20.60 cubic units

The volume of the empty space between the cylinder and the box is:

20.60 cubic units.

Volume of cylinder is:    \(\pi \times radius ^2 \times height\) cubic units.

Radius( say r) is half the diameter, thus: Radius = 2 units.

Now let height be denoted by h and radius be denoted by r then we have;

Volume = \(\pi \times 4 \times 6\) cubic units.

or

Volume of the cylinder = 75.398 cubic units.

Now Volume of the empty space between cylinder and the box = Volume of the box - Volume of the cylinder.

or say:

Volume of the empty space between cylinder and the box = 96 - 75.398

=  20.60 cubic units.

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Answer:

20.60 cubic units

Step-by-step explanation:

PLATO

Step-by-step explanation:

Volume of sphere = 4/3 * π * r³

Since 36π = 4/3 * π * r³, r³ = 27 and r = 3.

Answer:

Volume of a sphere = 4/3 pi r^3

36 pi = 4/3 pi r^3

36 = 4/3 r^3

27 = r^3

r = 3 inches