The point (-3,-5) is on the graph of a function. Which equation mus O f(-3) -5 f(-3,-5) = -8 O f(-5) = -3 f(-5, -3) = -2​

\( \frac{x}{4} = \frac{5}{2} \\ \)

\(2x = 20\)

\(x = \frac{20}{2} \\ \)

\(x = 10\)

hence...the value of x is 10..

hope it helps..☃️❄

There would be 40,320 different types of burgers.

If each burger must have all of the ingredients listed (cheese, lettuce, tomato, pickles, onions, mayo, catsup, and mustard), and the order of the ingredients is important, then the number of different types of burgers would be 8! (8 factorial), which is the number of permutations of 8 items.

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320

So there would be 40,320 different types of burgers that can be made with all of the ingredients and the order of placement is important.

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Nandini's probability of winning on either her first or second turn is 0.3 + 0.21 = 0.51, So Nandini should go first to have a higher chance of winning.

Nandini should go first to have a higher chance of winning.

To see why, let's consider the probability that each player wins on their first turn. Nandini has a 30% chance of rolling a 1 on her first turn, so her probability of winning on the first turn is 0.3. Sushrut has a 70% chance of not rolling a 1 on his first turn, and if he doesn't win on his first turn, then the game continues with Nandini rolling again.

If the game continues with Nandini rolling again, her probability of winning on her second turn is the product of two events: the probability that she didn't win on her first turn (0.7) and the probability that she wins on her second turn (0.3). So her probability of winning on her second turn is 0.7 * 0.3 = 0.21.

If the game continues with Sushrut rolling again, his probability of winning on his second turn is the product of three events: the probability that he didn't win on his first turn (0.7), the probability that Nandini didn't win on her second turn (0.7), and the probability that he wins on his second turn (0.3). So his probability of winning on his second turn is 0.7 * 0.7 * 0.3 = 0.147.

Therefore, Nandini's probability of winning on either her first or second turn is 0.3 + 0.21 = 0.51. Sushrut's probability of winning on either his second or third turn (if the game gets that far) is 0.7 * 0.7 * 0.3 + 0.7 * 0.3 = 0.231.

So Nandini should go first to have a higher chance of winning, with a probability of 0.51 compared to Sushrut's probability of 0.231.

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Answer:

t = 2 and t = 3.

Step-by-step explanation:

To solve the equation 2^(2t) - 12(2^t) + 32 = 0, we can use a substitution to simplify the equation. Let's set u = 2^t:Substituting u = 2^t, the equation becomes:u^2 - 12u + 32 = 0Now we have a quadratic equation in terms of u. We can solve it by factoring or using the quadratic formula. Let's try factoring:(u - 4)(u - 8) = 0Setting each factor equal to zero, we have:u - 4 = 0 or u - 8 = 0Solving for u:u = 4 or u = 8Now, substitute back u = 2^t:For u = 4:

2^t = 4Taking the logarithm base 2 of both sides:

t = log2(4)

t = 2For u = 8:

2^t = 8Taking the logarithm base 2 of both sides:

t = log2(8)

t = 3

Angle ∠EBD is congruent to angle ∠DBA. Option D is the true statement.

An angle bisector is the line segment that bisects the angle into two equal halves.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,

Ray BE is a bisector of angle CBA,

∠CBE = ∠EBA = 60°

∠EBD = ∠EBA - ∠DBA

∠EBD = 60 - 30 = 30

So,

∠EBD = ∠DBA [DB becomes angle bisector of angle EBA]

Thus, ∠EBD is congruent with ∠DBA is the only correct answer among the option.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Which of the following statements is true if ray BE is a bisector of angle CBA?

A. Ray BD is a bisector of angle CBA.

B. ∠EBD is congruent to ∠CBE.

C. Ray BE is a bisector of angle ABE.

D. ∠EBD is congruent to ∠DBA.

Answer:it might be A

Answer:

10.5 mph

Step-by-step explanation:

To find the constant of proportionality in miles per hour, we need to divide the distance (in miles) by the time (in hours) for each of the two runs, and then take the average of the two rates.

For Monday's run:

Rate = Distance / Time = 21 miles / 3 hours = 7 miles per hourFor Wednesday's run:Rate = Distance / Time = 10 1/2 miles / 1 1/2 hours = (21/2) miles / (3/2) hours = 14 miles per hour

To find the average rate, we add the two rates and divide by 2:Average rate = (7 miles per hour + 14 miles per hour) / 2 = 10.5 miles per hour

Therefore, the constant of proportionality in miles per hour is 10.5. This means that Ashley runs at an average rate of 10.5 miles per hour during her training.

Answer:

Kindly check explanation

Step-by-step explanation:

Relative frequency = frequency / total frequency

Total frequency = 30

Outstanding = 14 / 30 = 0. 467 = 46.7%

Very good = 10/30 = 0.333 = 33.3%

Good = 5 / 30 = 0.167 = 16.7%

Average = 1 / 30 = 0.0333 = 3.3%

Poor = 0

_______Rating : frequency : R/ frequency

Outstanding _____ 14 _______0.467

Very good _______10 _______0.333

Good ___________ 5 _______ 0.167

Average _________ 1 _______ 0.033

Poor ____________ 0 _______ 0

Answer:

A. the angular speed is 3771.4 rad/min

b. 5921 rpms

Step-by-step explanation: I just got this same question right on a test.

Answer:

Solving gives us the result, x = 2, y = -1

Step-by-step explanation:

The system of equations is,

y = 2x-5

y=-2x+3

equating the two equations, we get,

(since y = y)

\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)

and then since y = 2x-5

\(y=2(2)-5\\y=-1\)

so, x =2, y = -1

Answer:

personal budget

Step-by-step explanation:

Drawing up a budget is a good way to plan your expenditure based on how much money you expect to receive. Budgets are often estimates, because you cannot easily include unexpected expenses in a budget. However, you can plan to save some money that you can use in the event of an unexpected expense. Budgeting includes normal monthly budgeting and budgeting for particular expenses, such as an expensive item that you want to buy, a project or a trip overseas.

Answer:

4910 - i think

Step-by-step explanation:

Answer:

4,910

Step-by-step explanation:

The coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the Coordinates of Luke's house on the coordinate grid.

The grid representing Kyle's house. However, based on the given information, we can determine the coordinates of Kyle's house relative to Luke's house.

If Luke's house is located at the point (x, y), then Kyle's house is located 4 units to the left of Luke's house, which means the x-coordinate of Kyle's house is (x - 4). Similarly, Kyle's house is located 2 units up from Luke's house, which means the y-coordinate of Kyle's house is (y + 2).

Therefore, the coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the coordinates of Luke's house on the coordinate grid.

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We have two functions:

- The cost function C(x) that can be described as the fixed cost ($30,000) plus the variable cost (the unit variable cost per unit times the units, 5x)

- The revenue function R(x) which is the price times the number of units.

We have to find x for which cost and revenue are the same.

This can be expressed mathematically as C(x) = R(x).

We then can solve it as:

This means that the company has to sell x = 6000 chocolate bars to break even (costs = revenue).

Answer: 6000 chocolate bars.

The probability that a randomly selected driver who had an accident is in the age group 16-20 is 0.34 or 34%.

Probability is a fundamental concept in mathematics and statistics that is used to measure the likelihood of an event occurring. In this scenario, Joey is interested in calculating the probability that a driver who had an accident is in a particular age group.

We are given the following information:

Probability of accident for drivers in the age group 16-20 = 0.08

Probability of accident for drivers in the age group 21-65 = 0.02

Probability of accident for drivers in the age group 66-99 = 0.01

We are also given the proportion of drivers in each age group:

Proportion of drivers in age group 16-20 = 0.10

Proportion of drivers in age group 21-65 = 0.65

Proportion of drivers in age group 66-99 = 0.25

Let A denote the event that a randomly selected driver had an accident, and let B denote the event that the driver is in a particular age group. Then, Bayes' Theorem states:

P(B|A) = P(A|B)P(B) / P(A)

where P(B|A) is the conditional probability of the driver being in age group B given that they had an accident, P(A|B) is the probability of an accident given that the driver is in age group B, P(B) is the prior probability of the driver being in age group B, and P(A) is the probability of observing an accident.

Using the information given in the problem, we can calculate the probability of an accident occurring:

P(A) = P(A|16-20)P(16-20) + P(A|21-65)P(21-65) + P(A|66-99)P(66-99)

= 0.08 * 0.10 + 0.02 * 0.65 + 0.01 * 0.25

= 0.0235

Similarly, we can calculate the other probabilities:

P(A|16-20) = 0.08

P(A|21-65) = 0.02

P(A|66-99) = 0.01

P(16-20) = 0.10

P(21-65) = 0.65

P(66-99) = 0.25

Substituting these values into Bayes' Theorem, we get:

P(16-20|A) = P(A|16-20)P(16-20) / P(A)

= 0.08 * 0.10 / 0.0235

= 0.34

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The probability of getting a red card and rolling a 5 is = 3/85

First, we want to find the probability of rolling a 5.

There are 6 outcomes on the six-sided die, so the probability of getting a particular value is:

P = 1/5.

Then, the probability of randomly drawing a red card is given by the quotient between the number of red cards and the total number of cards:

P' = 3/(3 + 6 + 8) = 3/17

The joint probability is given by the product between the individual probabilities:

prob = P*P' = (1/5)*(3/17) = 3/85

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Answer:

B

Step-by-step explanation:

Answer:

(7-2x)3 =9-10x

x= -3

Step-by-step explanation:

we let the number to be x.

twice a number=2x is decreased by 7 that is to say 7-2x, is multiplied by 3, we have (7-2x)3.

the result is 9 less than 10times the number which is =9-10x.

so bringing all these together we have;

(7-2x)3=9-10x.

what is the number?

solving, we have:

(7-2x)3=9-10x

21-6x=9-10x

21-9= -10x+6x

12= -4x

dividing both sides by -4 we have our number

x= -3.

for proof we can substitute x=-3 into the equation.

21-6(-3) =9-10(-3)

21+18=9+30

39=39

Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

The sequence is will always have even numbers, is hence proved.

Given, the quadratic sequence is: 44:52:64:80

Sequences with a term are known as quadratic sequences. They can be distinguished by the fact that the first differences between terms are not equal but the second differences between terms are. Utilizing the term sum in an arithmetic progression formula, the sum of even numbers formula is achieved. The equation is Sum of Even Numbers Formula = n(n+1), where n is the total number of terms in the series.

The formula is: Tₙ = 2n² ₊ 2n  ₊ 40

take 2 common

Tₙ = 2(n² ₊ n  ₊ 20)

in other words n² ₊ n  ₊ 20  = y

therefore , Tₙ = 2y

which by definition makes Tₙ an even number at all times.

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Answer:

672 ways

Step-by-step explanation:

The total number of ways the friends were supposed to sit without restrictions would have been = 6!

= 720 possible ways.

If the girs should sit on the first or last sit

The possible arrangement= 2!4!

= 2*24

= 48

But now the two girls should be arranged in such a way that the don't sit on either the first or the last chair.

So the possible way now is= way without restriction - way if the girls are to sit at either first or last sit

= 720-48

= 672

Answer:

672.

Step-by-step explanation:

Step-by-step explanation:

I think something went wrong with the answer options you provided. and maybe with the problem statement itself.

I see 3 function definitions.

I can tell you what they are and use the provided option phrasing as closely as possible :

h(x) = 0 is a horizontal line (in fact the x-axis)

k(x) = 4x² + 312 is a parabola with the opening upwards

f(x) = x - 1 is a line with positive slope (going from left to right the line goes up)

Answer:

\(x=\dfrac{-3\pm3\sqrt{5}}{2}\)

Step-by-step explanation:

Given equation:

\(x^2+3x-9=0\)

Completing the square

Move the constant to the right side by adding 9 to both sides:

\(\implies x^2+3x=9\)

Add the square of half the coefficient of x to both sides:

\(\implies x^2+3x+\left(\dfrac{3}{2}\right)^2=9+\left(\dfrac{3}{2}\right)^2\)

\(\implies x^2+3x+\dfrac{9}{4}=\dfrac{45}{4}\)

Factor the trinomial on the left side:

\(\implies \left(x+\dfrac{3}{2}\right)^2=\dfrac{45}{4}\)

Square root both sides:

\(\implies x+\dfrac{3}{2}=\pm\sqrt{\dfrac{45}{4}}\)

\(\implies x+\dfrac{3}{2}=\pm\dfrac{\sqrt{45}}{\sqrt{4}}}\)

\(\implies x+\dfrac{3}{2}=\pm\dfrac{\sqrt{9 \cdot 5}}{2}\)

\(\implies x+\dfrac{3}{2}=\pm\dfrac{\sqrt{9} \sqrt{5}}{2}\)

\(\implies x+\dfrac{3}{2}=\pm\dfrac{3\sqrt{5}}{2}\)

Subtract 3/2 from both sides:

\(\implies x=\pm\dfrac{3\sqrt{5}}{2}-\dfrac{3}{2}\)

\(\implies x=\dfrac{-3\pm3\sqrt{5}}{2}\)

Answer:

x = \(\frac{A*t^2}{800}\)

Step-by-step explanation:

First move t² to the left side by multiplying it.

A×t² = 800x - to get rid of 800, we divide both sides by 800. This isolates x.

x = \(\frac{A*t^2}{800}\)

If x = 16 then the inequality that is true is C. 2.5x > 15.

The true inequality would be the one that when x is solved for, using the inequality, the inequality would be proven to be true.

If x = 16, the correct inequality would be 2. 5 x > 15 because :

2 . 5 x > 15

2. 5 ( 16 ) > 15

40 > 15

40 is indeed greater than 15 so this is the true inequality.

In conclusion, the true inequality is 2. 5 x > 15.

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Options for this question include:

A. 2x > 32

B. x + 5 ≤ 2

C. 2.5x > 15

D. x − 2 ≥ 16

The inequality Fx + Wy > R written with x isolated to the left sides is

Inequality refers to a way of representing relationships between variables at the left hand side of equation to the variables to the right hand side of an equation.

The signs used in inequality are of 4 types namely

The given inequality in the problem has greater than sign and it is written as Fx + Wy > R

rearranging the inequality gives

Fx + Wy > R

Fx > R - Wy

divide through by F

Fx / F> R/F - Wy/F

x > (R - Wy) / F

isolating x to the left side gives  x > (R - Wy) / F

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a) The value in four years is 2,207,626

b) The growth rate percent is 102.5 %

c) It would attain the value in 11 years.

We know that a function has to do with a mathematical rule that is used for the establishment of a fact. We have from the question that the function that models the car is; V = 2000000(1.025)^n

Let us recall that n has to do with the number of years.

a) In four years, the value of the car would be;

V = 2000000(1.025)^4

V = 2,207,626

b) The growth rate percent of the function can  be obtained as;

1.025 * 100 = 102.5 %

c) To obtain the year in which the value of the car would reach 2624173.32, we have;

2624173.32 = 2000000(1.025)^n

2624173.32/2000000 = (1.025)^n

1.312 = (1.025)^n

ln1.312 = n ln (1.025)

n = ln1.312 /ln (1.025)

n = 0.272/0.025

n = 11

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Answer:

25% if you have the same question as me Out of 52 dull-colored birds, 13 birds successfully mated.

Step-by-step explanation:

Answer:

$25.96

Step-by-step explanation:

Multiply the original price by the decimal value of the percentage then add that number to the original price

22*.18=3.96

3.96+22=25.96