you dont have to answer both of 3 and 4 you can answer one if you'd like.

Answer:

6 nights

Step-by-step explanation:

Set up your equation:

645=95n+75

then subtract the cleaning fee from the total to remove it from both sides

570=95n

then divid the remaining budget by the $95 per night charge

570/95= n =6

Meaning that she can afford 6 nights in the beach house at that price

Substituting these values back into equation (i), we get D = 4(3) = 12. There are 3 nickels, 12 dimes, and 3 quarters in the collection.

Let's assume the number of nickels is N, the number of dimes is D, and the number of quarters is Q. From the given information, we can deduce three equations:

(i) D = 4N (since there are 4 times more dimes than nickels),

(ii) N + D + Q = 18 (since there are 18 coins in total), and

(iii) 5N + 10D + 25Q = 290 (since the total value of the coins is 290 cents or $2.90).

To solve these equations, we can substitute the value of D from equation (i) into equations (ii) and (iii).

Substituting D = 4N into equation (ii), we get N + 4N + Q = 18, which simplifies to 5N + Q = 18.

Substituting D = 4N into equation (iii), we get 5N + 10(4N) + 25Q = 290, which simplifies to 45N + 25Q = 290.

Now we have a system of two equations with two variables (N and Q). By solving these equations simultaneously, we find N = 3 and Q = 3.

Substituting these values back into equation (i), we get D = 4(3) = 12.

Therefore, there are 3 nickels, 12 dimes, and 3 quarters in the collection.

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Rounding up to the nearest whole number, the sample size needed is approximately 385. Therefore, the correct answer is B.

To determine the sample size needed to estimate a population proportion with a desired level of confidence and margin of error, we can use the formula:

n = (Z^2 * p * (1-p)) / E^2

Where:

n = sample size

Z = Z-score corresponding to the desired level of confidence (in this case, 95% confidence corresponds to a Z-score of approximately 1.96)

p = estimated proportion of adults confident in the U.S. banking system (unknown, but we can assume 0.5 to be conservative)

E = margin of error (5% expressed as a decimal, so E = 0.05)

Using these values, we can calculate the sample size:

n = (1.96^2 * 0.5 * (1-0.5)) / 0.05^2

n ≈ 384.16

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Answer:

Step-by-step explanation:

The standard equation of a given line is expressed as y = mx+c where m is the slope and c is the intercept.

given the function f(x)= 3x − 3, comparing this equation with the standard format, we will have;

mx = 3x

Divide through by x

mx/x = 3x/x

m = 3

Hence the slope of the function f(x)= 3x − 3 is 3.

For a function g(x) passing through the points (0, 2) and (1, 5), to determine the slope, we will use the formula for calculating slope expressed as;

m = Δy/Δx = y₂-y₁/x₂-x₁

From the coordinates, x₁ = 0, y₁ = 2, x₂ = 1, y₂ = 5

m = 5-2/1-0

m = 3/1 = 3

Hence the slope of g(x) passing through the points (0, 2) and (1, 5) is also 3.

This shows that both functions have the same slope.

the answer

155

324

5/9 (87/3(1/12)= 155/324

The exact values of the remaining five trigonometric functions are as follows:

1. cosθ = -√(-1023)

2. tanθ = 32/(-√(-1023))

3. secθ = 1/(-√(-1023))

4. cscθ = 1/32

5. cotθ = (-√(-1023))/32

Given that sinθ = 32 and cosθ < 0, we can use the Pythagorean identity to find the value of cosθ:

\(cos^2\)θ = 1 - \(sin^2\)θ

\(cos^2\)θ = 1 - \((32/1)^2\)

\(cos^2\)θ = 1 - 1024

\(cos^2\)θ = -1023

Since cosθ < 0, we take the negative square root:

cosθ = -√(-1023)

Now, we can find the remaining trigonometric functions:

1. cosθ: We already found that cosθ = -√(-1023).

2. tanθ: tanθ = sinθ/cosθ

tanθ = 32/(-√(-1023))

3. secθ: secθ = 1/cosθ

secθ = 1/(-√(-1023))

4. cscθ: cscθ = 1/sinθ

cscθ = 1/32

5. cotθ: cotθ = 1/tanθ

cotθ = (-√(-1023))/32

Therefore, the exact values of the remaining five trigonometric functions are as follows:

1. cosθ = -√(-1023)

2. tanθ = 32/(-√(-1023))

3. secθ = 1/(-√(-1023))

4. cscθ = 1/32

5. cotθ = (-√(-1023))/32

Note: The value of √(-1023) is an imaginary number, so the exact values of the trigonometric functions involve complex numbers.

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Answer:

184

Step-by-step explanation:

First, note that the sides that are opposite to each other are congruent (this will come into play in a second). We can find the area of each triangle by doing 0.5(b)(h) (aka half * base* height). Since we've established tha opposite sides are congruent and the triangles are opposite to each other, they must be congruent. That means that the area is going to be the exact same for both triangles. So, we get the expression (0.5)(6)(4)(2), which comes out to 6*4 = 24. Then, to find the area of the 2 rectangles that are the sides, just do 5*10*2 = 100 square meters for both rectangles combines. Lastly, we need to find the area of the floor. The dimensions of the floor are 6 and 10, so we just do 6*10 = 60. Now, add all those numbers together. We get 100+60+24 = 184. Hope this helps! Let me know if anything is still confusing.

Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

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Logistic growth function with oscillation is a mathematical model that describes the growth of a population that is limited by its resources.

The logistic growth function itself is an S-shaped curve that levels off as the population approaches its carrying capacity. However, when there are additional factors that cause oscillations or fluctuations in the population size, the model can be modified to include periodic behavior.

One example of a logistic growth function with oscillation is the Lotka-Volterra predator-prey model. In this model, the population of predators and prey are linked through a set of differential equations that describe how the two populations interact with each other. The oscillations in this model occur due to the interplay between the predator and prey populations, with each population affecting the growth of the other.

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There are 35.25 pounds of apples left to give to his grandmother.

Jackson picked a total of 61 pounds and 2 pounds of apples. He took 2 3/4 pounds (or 11/4 pounds) to his aunt and 15 pounds and 8 pounds (or 23 pounds) to his mother.

To find the number of pounds of apples left to give to his grandmother, we subtract the pounds taken by his aunt and mother from the total pounds picked.

Total pounds picked: 61 pounds and 2 pounds

Pounds taken by his aunt: 2 3/4 pounds (or 11/4 pounds)

Pounds taken by his mother: 15 pounds and 8 pounds (or 23 pounds)

Subtracting the pounds taken by his aunt and mother from the total pounds picked:

61 pounds and 2 pounds - (11/4 pounds + 23 pounds) = 35.25 pounds

Therefore, there are 35.25 pounds of apples left to give to his grandmother.

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Answer:

all real values

Step-by-step explanation:

This is a line and the range of this line is all real values

Answer:

117.00

Step-by-step explanation:

I = prt  where i is the interest , p is the principal r is the rate and t is the time in years

2 years 6 months is 2.5 years

I = 1200 * .039* 2.5

I =117

Answer:

The correct answer is c = -8/3.

Step-by-step explanation:

The first step in solving this problem would be to simplify by combining like terms on the left side of the equation.

6c - 8 - 2c = -16 + c

4c - 8 = -16 + c

Then, we can subtract c from both sides of the equation to get rid of the positive c on the right side of the equation.

4c - c - 8 = -16 + c - c

3c - 8 = -16

Next, we can add 8 to both sides of the equation.

3c - 8 + 8 = -16 + 8

3c = - 8

Then, we can divide both sides of the equation by 3.

c = -8/3

Hope this helps!

Answer:

im still middle school i love to help people who r in higher classes so ill try

Step-by-step explanation:

maybe divide 73% by 0.4

Answer:

\(\frac{4}{60}\) = \(\frac{1}{15}\)

Step-by-step explanation:

The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.

Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.

Net Present Value = 150000 / (1 + 0.20)^10 - 47500

Net Present Value = $67,482.22

Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.

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The volume of the prism is 630 cubic yards.

The given shape is a right triangular prism with a triangular base. The length of the base is 12 yards and the height of the base is 3 yards. The height of the prism is given as 35 yards.

To find the volume of the prism, we need to multiply the area of the base by the height of the prism.

The area of a triangle is given by the formula: 1/2 x base x height

Here, the base of the triangle is 12 yards and the height is 3 yards. So, the area of the triangular base is:

1/2 x 12 yards x 3 yards = 18 square yards

The volume of the prism is given by:

Volume = area of base x height of prism

Volume = 18 square yards x 35 yards

Volume = 630 cubic yards

Therefore, the volume of the prism is 630 cubic yards. None of the given options match the correct answer.

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To solve this problem, we need to use some basic geometry concepts. First, we know that the diagonal of a unit square is the square root of 2, since the sides are of length 1.  The side length of the smaller square inscribed within a circle inscribed in a unit square is 1.

Next, we know that the circle inscribed in the square will have a diameter equal to the diagonal of the square, which is the square root of 2. The radius of the circle will therefore be half of the diameter, which is sqrt(2)/2.
Now we can use the radius of the circle to find the side length of the smaller square inscribed within it. If we draw the diagonal of the smaller square, it will be twice the radius of the circle, or sqrt(2). This is because the diagonal of the square passes through the center of the circle and therefore has a length equal to twice the radius.
We can then use the Pythagorean theorem to find the length of each side of the smaller square. If we let x be the side length of the smaller square, then we have:
x^2 + x^2 = 2
2x^2 = 2
x^2 = 1
x = 1
Therefore, the side length of the smaller square is 1, which makes sense since it is inscribed within a unit square.

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After set s1.addAll(s2), s1 is [1, 2, 5, 2, 3, 6].

After performing the operation s1.addAll(s2) on sets s1 [1, 2, 5] and s2 [2, 3, 6], the set s1 would become[1, 2, 5, 2, 3, 6].

To determine the value of s1, the following steps has to be taken:

1. Start with sets s1 [1, 2, 5] and s2 [2, 3, 6].

2. Apply the addAll operation with set s2: [2, 3, 6]

3. Add each element from set s2 to set s1, while avoiding duplicates (since sets cannot have duplicate elements).

4. Therefore, suppose if set s1 is [1, 2, 5] and set s2 is [2, 3, 6] then, after s1.addAll(s2), the set s1 becomes [1, 2, 5, 2, 3, 6].

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Answer:

1 over 36

Step-by-step explanation:

Answer:

1 over 36 or A

Step-by-step explanation:

Trust me bro;)

2.5 cm, 6.5 cm, and 6 cm are the sides of a right triangle.

The sides of a triangle are 2.5 cm, 6.5 cm, and 6 cm in length.

The Pythagorean Theorem states that The sum of the squares representing the base and height equals the square of the hypotenuse.

\((Perpendicular)^{2}+(Base)^{2}=(Hypotenuse)^{2}\)

                        \((2.5)^{2}+(6)^{2}=(6.5)^{2}\)

                            6.25 + 36 = 42.25

                                  42.25 = 42.25

The sides offered satisfy the specifications for a right triangle.

Given that it satisfies the Pythagorean theorem, a right triangle with sides of 2.5 cm, 6.5 cm, and 6 cm can be built.

Hence, 2.5 cm 6.5 cm 6 cm can be the sides of a right triangle.

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The Volume of the four lockers is 4\(s^{3}\)

A cube is a 3-dimensional solid with 8 corners and 12 edges.

It is made of of 6 squares.

The total volume of a cube with side s = \(s^{3}\)

Total surface area of a cube = 6\(s^{2}\)

Volume of each cube = \(s^{3}\)

for the 4 cubes = 4\(s^{3}\)

In conclusion, the total volume for the 4 cubes is 4\(s^{3}\)

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Answer:

equation 3 for the x intercept ley Y =0 and for the Y intercept let X =O

Answer:

x = -1

Step-by-step explanation:

-11 + 9(x+1) = 4(1+3x) - 3

9x + 9 - 11 = 12x + 4 -3

9x - 2 = 12x +1

-2 = 3x + 1

-3 = 3x

x = -1

Hope this helped

Sorry if it's wrong

:)

The zeros of the polynomial are: x = 1/2 (with multiplicity 1), x = 3 (with multiplicity 1), and x = 5/2 (with multiplicity 1).We have found all three real zeros of the polynomial, which confirms that there are no complex zeros.

f(x) = 2x³ - 112x² + 27x - 41x + 15

To find the zeros and their multiplicities of this polynomial, we can begin by using Descartes' Rule of Signs. Let's consider the sign changes in the coefficients:

There are 2 sign changes in the coefficients (from 2x³ to -112x² and then to 27x, and finally to -41x and 15), which means there are either 2 or 0 positive real zeros.

There are no sign changes when we replace x with -x, which means there are either 0 or 2 negative real zeros.

Thus, there can be either 0, 2, or 4 real zeros, but we cannot determine their exact number or location with Descartes' Rule of Signs alone.

Next, we can use the Upper and Lower Bound Theorem to limit our search for rational zeros. According to this theorem, any rational zero of the polynomial must be of the form p/q, where p is a factor of the constant term (15 in this case) and q is a factor of the leading coefficient (2 in this case). Therefore, the possible rational zeros of the polynomial are:

±1/2, ±1, ±3/2, ±5, ±15/2, ±30

We can use synthetic division or long division to check these possible rational zeros and see which ones are actually zeros of the polynomial. Doing so, we find that the rational zeros of the polynomial are:

x = 1/2 (with multiplicity 1), x = 3 (with multiplicity 1), and x = 5/2 (with multiplicity 1).

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Answer:

d)25 percent

Step-by-step explanation:

5/20×100

0.25×100

25 percent

Mark brianliest if my answer suit your question.

The percentage of fruits that are apple are 25%.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Total fruits= 20

Number of apples= 5

let the percent of fruits that are apple be x.

So, x% of 20= 5

x/100 (20) = 5

x/5 = 5

x = 25%

Hence, the percentage is 25%.

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