A group of friends were working on a student film. They spent $476 on equipment, which was 85% of their total budget. What was the total budget for their student film?

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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The cost of the entrance ticket for a child is $12.80.

Using algebraic expression and equation, we can express each statement and determine the cost of the entrance ticket for a child

Let x = cost of the entrance ticket for a child

y = cost of the entrance ticket for an adult

If the cost of the entrance tickets to the zoo for 2 adults and 3 children is $78.80, then we can express this as:

3x + 2y = $78.80     (equation 1)

If the cost of the entrance tickets for 1 adult and 1 child is $33.10, then we can express this as:

x + y = $33.10     ⇒     x = $33.10 - y     (equation 2)

Substitute equation 2 to equation 1 and solve for y.

3x + 2y = $78.80     (equation 1)

3($33.10 - y) + 2y = $78.80

$99.30 - 3y + 2y = $78.80

3y - 2y = $99.10 - $78.80

y = $20.30

Substitute the value of y to equation 2 and solve for x.

x = $33.10 - y     (equation 2)

x = $33.10 - $20.30

x = $12.80

cost of the entrance ticket for a child = $12.80

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The terms mentioned in the question are p, q, n, E, and a.

The values of each of these terms are given below: Value of p = 0.11 (proportion of adults who chose chocolate pie)Value of q = 1 - p = 1 - 0.11 = 0.89 (proportion of adults who did not choose chocolate pie)Value of n = 1500 (total sample size of adults who participated in the poll)Value of E = ±3 percentage points (margin of error)

Now, we need to find the value of a at 95% confidence level.

\(To find the value of a, we can use the formula: a = 1 - (confidence level/100)% = 1 - 95/100 = 0.05\)

Therefore, the value of a at 95% confidence level is 0.05.

Furthermore, as per the question, if the confidence level is α, then the value of E can be found by evaluating 1 - p.

The correct option is found from evaluating 1 - p.

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Answer:

x=-4

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!

Answer:

a (-4)

Step-by-step explanation:

i got you fam!

20x + 15k is the answer we just have to remove the bracket and add the terms

hope it helps

Answer:

20x + 15K

Step-by-step explanation:

just add like variables (x and Y)

Answer:

2nd choice i belive

Step-by-step explanation:

9514 1404 393

Answer:

  B. $1.45 + $0.55x ≤ $35; x ≤ 61 miles

Step-by-step explanation:

The mileage charge for x miles will be $0.55x, so the total charge will be $1.45+$0.55x. This must be less than or equal to $35 for Ariel to be able to pay for her travel. The appropriate inequality is ...

  $1.45 +$0.55x ≤ $35 . . . . . matches choice B

__

Comment on selecting an answer

From a "reasonableness" point of view, any answer choice with "≥ $35" can be eliminated immediately. Further, any answer choice with $1.45x can be eliminated, since the mileage charge is not $1.45, it is $0.55. The leaves only the choice shown above.

The matrix of  (cB)(C+C) is  \(\begin{pmatrix}-4&-4\\ 12&-8\end{pmatrix}\).

Given c=-2 , B=\(\begin{pmatrix}1&-1\\ 2&3\end{pmatrix}\) and C=\(\begin{pmatrix}0&1\\ -1&0\end{pmatrix}\)

We have to find (cB)(C+C):

Let us find cB = -2\(\begin{pmatrix}1&-1\\ 2&3\end{pmatrix}\) .

Multiply c value with each element of matrix B.

cB=\(\begin{pmatrix}-2&2\\ -4&-6\end{pmatrix}\)

Add C with C:

\(C+C=\begin{pmatrix}0&1\\ -1&0\end{pmatrix} + \begin{pmatrix}0&1\\ -1&0\end{pmatrix}\)

=\(\begin{pmatrix}0&2\\ -2&0\end{pmatrix}\)

Now we find \((CB)(C+C)=\begin{pmatrix}-2&2\\ -4&-6\end{pmatrix}.\begin{pmatrix}0&2\\ -2&0\end{pmatrix}\)

= \(\begin{pmatrix}-4&-4\\ 12&-8\end{pmatrix}\)

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Answer:

Step-by-step explanation:

\(f(x)=\frac{u}{v} ,u~ and~ v~ functions~ of~ x\\f'(x)=\frac{v ~u'-u~v' }{v^2} \\f(x)=\frac{x^4}{x^2-4} \\f'(x)=\frac{(x^2-4)*4x^3-x^4(2x)}{(x^2-4)^2} \\=\frac{2x^3(2x^2-8-x^2) }{(x^2-4)^2} \\=\frac{2x^3(x^2-8)}{(x^2-4)^2}\)

If 8 cows can graze a field in 28 days as a result, 14 cows take 12 days to graze the same field.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

It is given that, 8 cows can graze a field in 28 days.

Suppose x is the number of days required to graze the same field.

A proportionality relationship is one that has an inverse proportion. When two quantities are inversely related when one quantity rises, the other falls. The number of hours needed to construct a wall serves as an illustration of inverse proportion. By the inverse proportional relationship,

6:x :: 14:28

x=(28×6) / 14

x=2 × 6

x=12 days

Thus, if 8 cows can graze a field in 28 days as a result, 14 cows take 12 days to graze the same field.

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F(3) is equal to 9, based on the given table and the corresponding values of x and f(x). Option D.

To find the value of F(3) based on the given table, we look at the corresponding x-value of 3 and find its corresponding f(x) value.

From the table, we see that when x = 3, f(x) = 9. Therefore, F(3) = 9.

The table shows the values of x and their corresponding f(x) values. We can see that when x increases by 1, f(x) also increases by 3. This indicates that the function has a constant rate of change, where the change in f(x) is always 3 units for every 1 unit change in x.

Given that F(3) represents the value of the function when x = 3, we look at the x-values in the table and find the corresponding f(x) value. In this case, when x = 3, f(x) = 9.

Therefore, the value of F(3) is 9. Option D is correct.

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Answer: 5/78

Step-by-step explanation: u simplify

Answer:

5/78

Step-by-step explanation:

Divide both parts by 10.

Hope I helped :)

The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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D. None of these, as neither option B nor option C can be obtained using the Law of Detachment.

The Law of Detachment states that if a conditional statement "if p, then q" is true and p is true, then q must also be true.

Analyzing the given options:

A. The conclusion "There is no school" can be obtained by applying the Law of Detachment to the given information, as it matches the format of the law: "If today is Saturday (p), then there is no school (q)." Since today is Saturday (p), the conclusion that "There is no school" (q) can be derived using the Law of Detachment.

B. The conclusion "He is able to buy a new set of headphones" is not directly obtained by using the Law of Detachment. It involves an additional conditional statement and is not in the form of the given "if p, then q" structure.

C. The conclusion "George lives in both Brick and Ocean County" cannot be derived using the Law of Detachment. It is not in the form of a conditional statement, and there is no given information that connects George's residence to the conditional statement provided. Therefore, D is the right answer. None of them are possible utilizing the Law of Detachment, as neither option B nor option C can be obtained. Therefore, Option D is correct.

The question was incomplete. find the full content below:

Which of the following conclusions is true AND obtained by using the Law of Detachment

A. If today is Saturday, then there is no school.

Today is Saturday.

There is no school.

B. If you work 8 hours, then you'll earn $100.

If you earn $100, you'll be able to buy a new set of headphones.

Jonathan works 8 hours.

He is able to buy a new set of headphones.

C. If a person lives in Long Beach Island, then they live in Ocean County.

Brick is in Ocean County.

George lives in both Brick and Ocean County

D. None of these.

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Answer:

400

Step-by-step explanation:

okay so 400 because you find the height and the base sides and you get the answer, sorry if incorrect

Answer:

(2/3, 8/3)

Step-by-step explanation:

Using the line segment equation we get: (x,y)=(-6+2/3(4-(-6)), -4+2/3(6-(-4))=(2/3,8/3)

Answer:

Full Answer

Step-by-step explanation:

(-2,0)

There is about a 33.7% probability that a case of 48 cans will contain at least two cans with a defective ball.

To solve this problem, we can use the binomial distribution. Let's define "success" as getting a can with no defective ball and "failure" as getting a can with at least one defective ball.

The probability of success in one can is:

P(success) = 1 - P(failure) = 1 - 0.025 = 0.975

The probability of failure in one can is:

P(failure) = 0.025

Now, let's define X as the number of cans in a case of 48 that have at least one defective ball. We want to find the probability that X is greater than or equal to 2.

We can use the binomial distribution formula to calculate this probability:

P(X ≥ 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)

P(X = 0) = (0.975)^48 ≈ 0.223

P(X = 1) = 48C1 (0.975)^47 (0.025)^1 ≈ 0.44

where 48C1 is the number of ways to choose one can out of 48.

Therefore, the probability that a case of 48 cans will contain at least two cans with a defective ball is:

P(X ≥ 2) ≈ 1 - 0.223 - 0.44 ≈ 0.337

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Answer:

373376

Step-by-step explanation:

i think its that

Answer:

abc = 18.5

cbx = 28

Step-by-step explanation:

a. Second partial derivatives of f(x, y):

∂²f/∂x² = 2

∂²f/∂y² = -2x

∂²f/∂x∂y = -2y

b. Second partial derivatives of g(x, y):

∂²g/∂x∂y = (2x(-2y) - 2y(2x)) / (x² + y²)² = (-4xy) / (x² + y²)²

c. ∂²h/∂x∂y = -sin(ex+y) * ex+y * ex+y + cos(ex+y) * ex+y * ex+y = cos(ex+y) * (ex+y)² - sin(ex+y) * (ex+y)² = (ex+y)² * (cos(ex+y) - sin(ex+y))

(a) First partial derivatives of f(x, y):

∂f/∂x = 2x - y²

∂f/∂y = -2xy + 1

Second partial derivatives of f(x, y):

∂²f/∂x² = 2

∂²f/∂y² = -2x

∂²f/∂x∂y = -2y

(b) First partial derivatives of g(x, y):

∂g/∂x = (2x) / (x² + y²)

∂g/∂y = (2y) / (x² + y²)

Second partial derivatives of g(x, y):

∂²g/∂x² = (2(x² + y²) - 2x(2x)) / (x² + y²)² = (2y² - 2x²) / (x² + y²)²

∂²g/∂y² = (2(x² + y²) - 2y(2y)) / (x² + y²)² = (2x² - 2y²) / (x² + y²)²

∂²g/∂x∂y = (2x(-2y) - 2y(2x)) / (x² + y²)² = (-4xy) / (x² + y²)²

(c) First partial derivatives of h(x, y):

∂h/∂x = cos(ex+y) * ex+y

∂h/∂y = cos(ex+y) * ex+y

Second partial derivatives of h(x, y):

∂²h/∂x² = -sin(ex+y) * ex+y * ex+y + cos(ex+y) * ex+y * ex+y = cos(ex+y) * (ex+y)² - sin(ex+y) * (ex+y)² = (ex+y)² * (cos(ex+y) - sin(ex+y))

∂²h/∂y² = -sin(ex+y) * ex+y * ex+y + cos(ex+y) * ex+y * ex+y = cos(ex+y) * (ex+y)² - sin(ex+y) * (ex+y)² = (ex+y)² * (cos(ex+y) - sin(ex+y))

∂²h/∂x∂y = -sin(ex+y) * ex+y * ex+y + cos(ex+y) * ex+y * ex+y = cos(ex+y) * (ex+y)² - sin(ex+y) * (ex+y)² = (ex+y)² * (cos(ex+y) - sin(ex+y))

Please note that the notation used for partial derivatives is ∂f/∂x for the first partial derivative with respect to x, ∂f/∂y for the first partial derivative with respect to y, ∂²f/∂x² for the second partial derivative with respect to x twice, ∂²f/∂y² for the second partial derivative with respect to y twice, and ∂²f/∂x∂y for the second partial derivative with respect to x and then y.

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Using the subtraction, the number of member who only like caava is 12.

In the given question we have to find how many member like caava.

Total member of family = 48

Member who like caava=24

Member who like potato=36

Member who like both caava and potato=12

In the given number of member who like caava having a member who also like potato and some are who only like caava.

So the number of member who only like caava = Total number of member who like caava−Total number of member who like both caava and potato

The number of member who only like caava =24−12

The number of member who only like caava =12

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In a case whereby a ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the time the ball is thrown will it strike the​ ground at t = 2.5 or -3.5.

Height of building = 140 ft

Initial velocity, u = 16 ft/sec

the equation given is

h = -16t² -16t +140

h(t) = -16t² -16t +140

AT h(t) = 0 , We can divide by -2 and have

(8t² + 8t - 70) = 0

8t² + 8t - 70 = 0

Then if we solve with quadratic equation formula where  a=8, b=8, c=- 70 then the root will be -7/2 and 5/2 then  t = 2.5 or -3.5

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complete question;

A ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the height of the ball h in feet after t seconds is given by the equation h equals negative 16 t squared minus 16 t plus 140. how long after the ball is thrown will it strike the​ ground?

Answer:

m = -x

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

An easy way to solve this problem is by first finding 10%. To find 10% of any number simply move the decimal one place to the left. So 160.0 becomes 16.00. Then, because 5% is half of 10% to find the answer divide 16 by 2. Therefore, Sofia made 8 of her 160 free throws.

The probability that the time is greater than 24 seconds is e^(-24λ).

Since it is a waiting time distribution, it definitely will be an exponential distribution. Here we might either be given the value of mean or λ.

If the mean is given we can find λ by using the formula

mean = 1/λ.

Then to find the probability that the waiting time is greater than 24 seconds we will use the cumulative density function formulae

F(x) =  1 - e^(-λx)

here we will find

F(24) = 1 - e^(-24λ)

Then to find P(X>24) we will subtract 1 from F(24) to get

P(X>24) = e^(-24λ)

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Answer:

27.

Step-by-step explanation:

3 to the power of 3 = 3*3*3

3*3 = 9.

9*3 = 27

Hope this helps!

The length of MN if ABC~LMN would be 11 unit.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Given that the side lengths of two similar triangles are always proportional.

Given that ∆ABC ~ ∆LMN, therefore:

AB = 10

LM = 5

MN = x + 4

BC= 3x + 1

Plug in the values

AB / LM = BC/ MN

Cross multiply

10/ 5 = (3x + 1)/(x + 4)

2 (x + 4) = (3x + 1)

2x + 8 = 3x + 1

x = 7

MN = x + 4 = 11

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Answer:

D. The money that Kai started with before he mowed any lawns.

Step-by-step explanation:

We Know

The equation is y = mx + b

The x represents the number of lawns that Kai mows.

What does the y-intercept represent in this equation?

The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.

Answer:

The Answer is D

Step-by-step explanation: