Darryl has $12 to spend on snacks after he buys his movie ticket.He buys a $6.50 popcorn.if he spends the rest of his money on $2.10 candy bar’s, how many bars can he buy ?

Answer:

x=4

Step-by-step explanation:

hope it helps thanks

Answer:

Since p(x) is exactly divisible by x – 3, then p(3) = 0.

Plugging in x = 3 into p(x), we get

4(3)2 – 6(3) – m = 0

36 – 18 – m = 0

m = 18

Therefore, the value of m is 18.

Step-by-step explanation:

If Sam has three-fourths (3/4) of a yard of pipe, then 6 pieces can he cut the pipe into if each piece is one-eighth (1/8) yard.

In the given question,

Sam has three-fourths (3/4) of a yard of pipe.

We have to find how many pieces can he cut the pipe into if each piece is one-eighth (1/8) yard.

Total length of a yard of pipe is 3/4.

We have to cut the a yard of pipe in the size of 1/8.

Since we have to distribute the 3/4 in 1/8 so we divide 3/4 by 1/8 to find the answer.

Now the expression should be

\(=\frac{3/4}{1/8}\)

To solve this expression multiply 8 on numerator and denominator.

We multiply 8 on both numerator and denominator because when we include any number by our self then we have to perform the  same on both side.

\(=\frac{3/4\times8}{1/8\times8}\)

Simplifying

\(=\frac{3\times2}{1}\)

\(={3\times2}\)

\(=6\)

Hence, if Sam has three-fourths (3/4) of a yard of pipe, then 6 pieces can he cut the pipe into if each piece is one-eighth (1/8) yard.

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The number of toffees Sharon got is 10.

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

Number of toffees Sharon has = (ratio of toffees Sharon got / sum of ratios) x total toffees shared.

Sum of ratios -= 2 + 5 = 7

(5/7) x 14 = 10

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Answer:

5076.

Step-by-step explanation:

Let x be the number enrolled, then:

x - 1/9 x = 4512

8/9x = 4512

x = 4512 * 9/8

x = 5076.

18 inches

Explanation

the area of a square is given by:

then ,let

replace

therefor, the length of the side is 18 inches.

i hope this helps you

The function g(x) can be derived from f(x) by vertical dilation and vertical translation. f(x) = (13 / 4) · x³ - (1 / 2) · x² + (7 / 4) · x + 3 / 2 and g(x) = (125 / 7306) · x³ - (125 / 47789) · x² + (875 / 94978) · x + 375 / 47489 + 2.502.

In this question we must infer what kinds of rigid transformations were used to obtain g(x) in terms of f(x). Points A and B belong to the function f(x) and points A' and B' lie on the curve of function g(x). Rigid transformations are transformations applied on functions such that Euclidean distance is conserved.

We noticed the use of rigid transformations on f(x) such that g(x) is found:

Vertical dilation

f'(x) = k · f(x), where k > 0

Vertical translation

g(x) = k · f(x) + c, where c is the translation factor.

We notice that both f(x) and g(x) are both cubic functions. The former has a vertex at (x, y) = (0, 1.5). First, we determine the coefficients of f(x) by solving the following system of linear equations:

(x₁, y₁) = (1, 6), (x₂, y₂) = (- 2, - 30), (x₃, y₃) = (0, 1.5), (x₄, y₄) = (- 1, - 4)

a + b + c + d = 6

- 8 · a + 4 · b - 2 · c + d = - 30

d = 1.5

- a + b - c + d = - 4

The solution of the system is (a, b, c, d) = (13 / 4, - 1 / 2, 7 / 4, 3 / 2). Then, the expression for the function f(x) is f(x) = (13 / 4) · x³ - (1 / 2) · x² + (7 / 4) · x + 3 / 2.

Now we evaluate the function f(x) at x = 7 and x = - 8:

f(7) = (13 / 4) · 7³ - (1 / 2) · 7² + (7 / 4) · 7 + 3 / 2

f(7) = 1104

f(- 8) = (13 / 4) · (- 8)³ - (1 / 2) · (- 8)² + (7 / 4) · (- 8) + 3 / 2

f(- 8) = - 3417 / 2

Now we determine the coefficient of dilation and the translation factor:

f(7) = 1104, f(- 8) = - 3417 / 2, g(7) = 2.5, g(- 8) = - 6.5

2.5 = 1104 · k + c

- 6.5 = - 3417 · k / 2 + c

The solution of the system of linear equations is (k, c) = (250 / 47489, 2.494). Then, we find that the expression for g(x) is g(x) = (250 / 47489) · [(13 / 4) · x³ - (1 / 2) · x² + (7 / 4) · x + 3 / 2] + 2.494, whose simplest form is:

g(x) = (125 / 7306) · x³ - (125 / 47789) · x² + (875 / 94978) · x + 375 / 47489 + 2.494

g(x) = (125 / 7306) · x³ - (125 / 47789) · x² + (875 / 94978) · x + 375 / 47489 + 2.502

The function g(x) can be derived from f(x) by vertical dilation and vertical translation. f(x) = (13 / 4) · x³ - (1 / 2) · x² + (7 / 4) · x + 3 / 2 and g(x) = (125 / 7306) · x³ - (125 / 47789) · x² + (875 / 94978) · x + 375 / 47489 + 2.502.

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All of the claims about the multiple regression output are correct. The first independent variable (X1) was a continuous-scale quantitative variable, whereas the second variable (X2) was coded 0 if Yes and 1 if No.

Multiple regression is an effective statistical approach for analyzing the associations between multiple independent variables and a single dependent variable. Multiple regression has numerous uses in the social sciences, and recent research used it to analyze the connection between two independent factors and a single dependent variable.

Finally, the total model is statistically significant, the slope coefficient for variable X1 is considerably different from zero, and the model explains almost 63% of the variance in the dependent variable.

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Answer:

$18 less than the cost of 5 hot dog combos

Step-by-step explanation:

First, we see from the minus sign that this will be subtraction.  PEMDAS (order of operations) says we do the multiplication first, then the subtraction.

Answer:

Well, the answer is: it depends on what was printed in the problem. The principal square root symbol never has a negative output, so if the test maker printed that symbol, it’s restrictions have to be respected: all square roots then are positive.

Step-by-step explanation:

a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 4² = (−4)² = 16. Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √(x), where the symbol √( ) is called the radical sign or radix.

Answer/Step-by-step explanation:

The square root could be positive or negative because multiplying two negative numbers gives a positive number. The principal square root is the nonnegative number that when multiplied by itself equals a. The square root obtained using a calculator is the principal square root.

Answer:

16 < 24 < 25

Step-by-step explanation:

√16 = 4

√25 = 5

The student's exam grade was converted to a negative z-score, indicating that they scored below the mean

Therefore, option d is correct.

When a grade is transformed into a z-score, it represents how many standard deviations the grade is away from the mean. The mean is always set at a z-score of 0, and positive z-scores indicate that a grade is above the mean, while negative z-scores indicate that a grade is below the mean.

In this question, the student's exam grade was transformed into a negative z-score, which means that the grade is below the mean. This is because the negative sign in the z-score indicates that the grade is a certain number of standard deviations below the mean. The further the z-score is below 0, the further the grade is below the mean.

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The point (5, 10) has not been translated in the given figure.Hence this statement is false.

The graph shows five points.

A point has been translated right and up.

Now, the statements that are true based on the graph are as follows:

The point (9, D) has been translated right and up.Answer: False

There is no information given about point (9, D).

So, we cannot say anything about the translation of point (9, D).

The point (1, 8) has been translated right and up.Answer: True

As explained above, the point (1, 8) has been translated 7 units to the right and 2 units up to get the new point (8, 10). So, this statement is true.

The point (2, 9) has been translated right and up.Answer: False

The point (2, 9) has not been translated in the given figure.

So, this statement is false.

Statement 4: The point (8, B) has been translated right and up.Answer: True

The point (8, B) has been translated 1 unit up in the given figure. So, this statement is true.

The point (5, 10) has been translated right and up.Answer: False

The point (5, 10) has not been translated in the given figure.

So, this statement is false.

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Answer:

P(candy chosen is red) = 58/200

Step-by-step explanation:

0.29 is the probability that a candy chosen at random will be red.

The probability exists the branch of mathematics involving numerical descriptions of how likely an event exists to happen, or how likely it exists that a proposition stands true. The probability of an event exists in a number between 0 and 1, where, roughly speaking, 0 reveals the impossibility of the event, and 1 demonstrates certainty.

A machine contains = 76 green candies

B machine contains = 42 orange candies

C  machine contains = 58 red candies

D  machine contains = 24 yellow candies

Probability = 58 / 76 + 42+ 58+ 24

                  = 58 / 200

                  = 0.29

0.29 is the probability that a candy chosen at random will be red.

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Answer:

y-int = 0.2

Step-by-step explanation:

hope this helps ? :)

1 gallon = 4 quarts

10 gallons = 40 quarts

30 gallons = 120 quarts

3 gallons = 12 quarts

33 gallons = 132 quarts

Answer: A. 132 quarts

Hope this helps!

Answer:

the answer is 5

Step-by-step explanation:

2x/5 - 9 = -7

2x/5      = -7 + 9

2x/5      = 2

2x         = 2 * 5

2x         = 10

x            = 10/2

x            = 5

Answer:

x = 5

Step-by-step explanation:

2

--- x - 9 = -7              add 9 both sides

 5

2

--- x - 9 + 9 = -7 + 9      

 5

2

--- x = 2             multiply both sides by 5

 5

    2

5 * --- x = 2 * 5

     5

2x = 10

x = 10 / 2

x = 5

Answer:

72

Step-by-step explanation:

multiply all the sides

24

3

72

The system of equations has two solutions: (0,2) and (-4/5, -6/5).

The substitution method is a way to solve a system of two linear equations with two variables. The method involves solving one of the equations for one of the variables, and then substituting that expression into the other equation in place of the same variable. This process reduces the system of two equations and two variables to a single equation and a single variable, which can then be solved.

We have the system of equations:

4x² + y² = 4 ........(1)

y = x + 2 ........(2)

We can solve this system of equations by substitution.

Substitute (2) into (1) to eliminate y:

4x² + (x + 2)² = 4

Simplify and solve for x:

4x² + x² + 4x + 4 = 4

5x²+ 4x = 0

x(5x + 4) = 0

x = 0 or x = -4/5

If x = 0, then from equation (2), y = 2. So one solution is (x,y) = (0,2).

If x = -4/5, then from equation (2), y = -6/5. So the other solution is (x,y) = (-4/5, -6/5).

Therefore, the system of equations has two solutions: (0,2) and (-4/5, -6/5).

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To graph the inequality:

We use the x and y-intercepts.

When x=0

We have the point: (0, 5.5)

When y=0

We have the point: (-1.83, 0)

We plot the points (0, 5.5) and (-1.83,0).

The points are joined using a broken line because of the inequality sign: >

The graph is shown below:

To determine which side is required, we use the origin test.

When x=0 and y=0

This means the side of the line containing (0,0) is where we need. (Shaded above)

Answer:

The conditions for calculating a confident surgery were clearly not past.

Step-by-step explanation:

When you are testing a vaccine of a surgery, there needs to be a over 60% success rate at which the vaccine of the surgery is affective, otherwise, it is decided that that medical procedure of medicine isn't safe. There have been some exceptions in the past when a vaccine for example was used with a 40% success rate, only because the public required this vaccine in there time.

Answer:

The correct answer is 0.25 cups of flour also written as 1/4 cups of flour

Step-by-step explanation:

HAVE A GOOD DAY!

Answer:

1/4 cup of flour for every pancake

Step-by-step explanation:

Divide 16 by 4 to get 4

Divide 4 by 4 to get 1

Divide 1 by 4 to get 1/4.

So a pancake requires 1/4 cup of flour for every pancake.

For an initial value problem with condition, y′ + y = 4 + δ(t - 3), y(0)=0,

a) The Laplace transform of the solution is equals to the \(Y(s) = \frac{1}{s + 1}( \frac{4}{s} + \frac{e^{ - 3s}}{s})\).

b) The solution is \(y(t) = 4 - 4e^{-t} ( 1 - e^{ 2 - t}) δ(t−3) \).

Using Laplace transformation, we can easily solve the initial value differential problems. To solve these differential equation using Laplace, we first calculate the Laplace transform of the equation then we take inverse Laplace transformation. We have an initial value problem and condition, y′ + y = 4 + δ(t - 3), --(1) y(0)= 0, where an input of large amplitude and short duration has been idealized as a delta function. We have to solve it using Laplace transform.

a) The objective is to determine the Laplace transform Y(s). Taking Laplace transformation on both sides of equation(1), L(y′ + y) = L(4 + δ(t−3))

=> L(y′) + L(y) = L(4) + L(δ(t−3))

\((sY(s) - y(0))+ Y(s) = \frac{4}{s} + \frac{e^{−3s}}{s} \\ \)

Substitute the initial values in equation,

\(( 1 + s) Y(s) - 0 = \frac{4}{s} + \frac{e^{ −3s}}{s}\)

\(Y(s) = \frac{1}{s + 1}( \frac{4}{s} + \frac{e^{ - 3s}}{s})\)

so, the Laplace transform is

\(Y(s) = \frac{1}{s + 1}( \frac{4}{s} + \frac{e^{ - 3s}}{s})\).

b) The solution of y(t), that is objective is to determine function y(t). For this, taking inverse Laplace on both sides to determine the function \(y(t) = L^{−1}(\frac{1}{s+1}(\frac{4}{s} + \frac{ e^{-3s}}{s}))\)

\(= L^{−1}(\frac{4}{s( s+1)} + \frac{ e^{-3s}}{s(s+1)})\)

\(= L^{−1}(\frac{4}{s( s+1)} )+ L^{-1}( \frac{ e^{-3s}}{s(s+1)})\).

\(= L^{−1}(\frac{4}{s}) L^{-1}(\frac{4}{s+1} )+ L^{-1}( \frac{ e^{-3s}}{s}) L^{-1}( \frac{e^{-3s}}{s+1}) \\ \).

Evaluate Laplace inverse as, \(y(t) = 4 - 4e^{-t} ( 1 - e^{ 2 - t}) δ(t−3) \). Hence, required value is \(y(t) = 4 - 4e^{-t} ( 1 - e^{ 2 - t}) δ(t−3) \).

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Complete question:

Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a delta function,

y′ + y = 4 + δ(t−3), y(0)=0.

a) Find the Laplace transform of the solution.

Y(s)=L{y(t)} =

b) Obtain the solution y(t).

y(t)= ?

Answer:

1. 3 tacos per person

2. 8 chairs per table

3. 6 avocados per bag

Step-by-step explanation:

1) Divide 45 by 15 to get the unit rate: # of taco per person.

45 = 15x

45/15 = 15x/15

3 = x

3 tacos per person

2) Divide 72 by 9 to get the unit rate: # of chairs per table.

72 = 9x

72/9 = 9x/9

8 = x

8 chairs per table

3)  Divide 42 by 7 to get the unit rate: # of avocados per bag.

42 = 7x

42/7 = 7x/7

6 = x

6 avocados per bag

The test statistic for the sample mean is given byz = (x - μ) / (σ / √n)Where,x = 49, μ = 50, σ = 15, n = 55z = (49 - 50) / (15 / √55)≈ -1.24 From the z-tables, we find that the area to the left of z = -1.24 is 0.1089. This implies that the p-value = 0.1089 > α = 0.01.

Given information Random sample of 55 second-gradersSample mean score is x=49The standard deviation of test scores is σ = 15The nationwide average score on this test is 50.The school superintendent wants to know whether the second-graders in her school district have weaker math skills than the nationwide average.Level of significance (α) = 0.01Null hypothesis (H0):

The average math score of second-graders in the school district is greater than or equal to the nationwide average math score.Alternative hypothesis (Ha): The average math score of second-graders in the school district is less than the nationwide average math score.The test statistic for the sample mean is given byz = (x - μ) / (σ / √n)Where,x = 49, μ = 50, σ = 15, n = 55z = (49 - 50) / (15 / √55)≈ -1.24 From the z-tables, we find that the area to the left of z = -1.24 is 0.1089. This implies that the p-value = 0.1089 > α = 0.01.Since the p-value is greater than the level of significance, we fail to reject the null hypothesis.

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Answer:

29.40-19.80=9.6

9.6/6=1.6

So the answer is $1.60

Step-by-step explanation:

The candidate that would make the company the most money in their first year of employment is Candidate B

The amount of profit that a candidate can make for the company is:

= ( Number of weeks in year x Profit per week ) - Salary for the year

We shall assume 48 working weeks in a year.

The amount of money made by Candidate A would be:

= ( 48 x 3, 000 ) - 80, 000

= $64, 000

The amount of money made by Candidate B is:

= ( 48 x 2, 400 ) - 45, 000

= $70, 200

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