Pleas help I’m so confused

Answer:

(a) The percent of students who passed the exam is:

Percent passed = (number of students who passed ÷ total number of students) × 100

Percent passed = (80 ÷ 110) × 100

Percent passed = 72.73%

Rounded to the nearest percent, 73% of the students passed the exam.

(b) The percent of students who did not pass the exam is:

Percent did not pass = 100% - percent passed

Percent did not pass = 100% - 72.73%

Percent did not pass = 27.27%

Rounded to the nearest percent, 27% of the students did not pass the exam.

Answer:

Cosine ratios are the ratios of the side adjacent to the represented base angle over the hypotenuse.

Step-by-step explanation:

I know it´s a bit hard to understand, but that´s what it is. I hope this helped!

Answer: Heyaa!

"The ratio of the side adjacent to the represented base angle over the hypotenuse." the ratio of the length of the side adjacent to the angle divided by the length of the hypotenuse of the triangle...

Step-by-step explanation:

Hopefully this helps you !

- Matthew ~

Answer:

a. The company's profit function P(x, y, z) = 24x +12y +16z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26

b. The number of cars that must be sold in each market are 60 in America, also 60 in Europe and 80 in Asia.

Step-by-step explanation:

Note: This question is not complete and it has some errors in the figures used. The correct complete question is therefore provided before answering the question as follows:

An automobile manufacturer sells cars in America, Europe, and Asia, charging a different price in each of the three markets. The price function for cars sold in America is p = 27 − 0.2x  (for 0 ≤ x ≤ 135), the price function for cars sold in Europe is q = 15 − 0.1y  (for 0 ≤ y ≤ 150), and the price function for cars sold in Asia is r = 19 − 0.1z (for 0 ≤ z ≤ 190), all in thousands of dollars, where x, y, and z are the numbers of cars sold in America, Europe, and Asia, respectively. The company's cost function is C = 26 + 3(x + y + z) thousand dollars.

(a) Find the company's profit function P(x, y, z). [Hint: The profit will be revenue from America plus revenue from Europe plus revenue from Asia minus costs, where each revenue is price times quantity.]

P(x, y, z) =

(b) Find how many cars should be sold in each market to maximize profit. [Hint: Set the three partials Px, Py, and Pz equal to zero and solve. Assuming that the maximum exists, it must occur at this point.]

The explanation to the answers is now given as follows:

(a) Find the company's profit function P(x, y, z). [Hint: The profit will be revenue from America plus revenue from Europe plus revenue from Asia minus costs, where each revenue is price times quantity.]

p = price function for cars sold in America = p = 27 − 0.2x (for 0 ≤ x ≤ 135)

q = price function for cars sold in Europe = 15 − 0.1y (for 0 ≤ y ≤ 150)

r = price function for cars sold in Asia = 19 − 0.1z (for 0 ≤ z ≤ 190)

C = company's cost function = 26 + 3(x + y + z) = 26 + 3x + 3y + 3z

P(x, y, z) = profit function

x, y, and z are the numbers of cars sold in America, Europe, and Asia, respectively

Therefore, we have:

TR = Total revenue = px + qy + rz …………………………….. (1)

Substituting the relevant values into equation (1), we have:

TR = (27 − 0.2x)x + (15 − 0.1y)y + (19 − 0.1z)z

TR = 27x – 0.2x^2 + 15y – 0.1y^2 + 19z – 0.1z^2

Also,

P(x, y, z) = TR – C ……………………………………… (2)

Substituting the relevant values into equation (2), we have:

P(x, y, z) = 27x – 0.2x^2 + 15y – 0.1y^2 + 19z – 0.1z^2 – (26 + 3x + 3y + 3z)

P(x, y, z) = 27x – 0.2x^2 + 15y – 0.1y^2 + 19z – 0.1z^2 – 26 – 3x – 3y – 3z

P(x, y, z) = 27x – 3x +15y – 3y +19z – 3z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26

P(x, y, z) = 24x +12y +16z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26 ……………….. (3)

Therefore, the company's profit function P(x, y, z) = 24x +12y +16z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26.

(b) Find how many cars should be sold in each market to maximize profit. [Hint: Set the three partials Px, Py, and Pz equal to zero and solve. Assuming that the maximum exists, it must occur at this point.]

As indicated in the question, the number cars that should be sold in each market to maximize profit can be calculated by deriving the three partials Px, Py, and Pz from the profit function P(x, y, z), i.e. equation (3) in part a above, and set equal to zero and then solve as follows:

In America

From equation (3), we have:

Px = 24 – 0.4x = 0

Therefore, we have:

24 – 0.4x = 0

24 = 0.4x

x = 24 / 0.4

x = 60

In Europe

From equation (3), we have:

Py = 12 – 0.2y = 0

Therefore, we have:

12 – 0.2y = 0

12 = 0.2y

y = 12 / 0.2

y = 60

In Asia

From equation (3), we have:

Pz = 16 - 0.2z = 0

Therefore, we have:

16 - 0.2z = 0

16 = 0.2z

z = 16 / 0.2

z = 80

Based on the above calculations, the number of cars that must be sold in each market are 60 in America, also 60 in Europe and 80 in Asia.

The area of the given shape is 28 unit². The given shape has two parallel sides, stretch the line BF and DE to FC and EC respectively to make a right angle Δ, thus a parallelogram.

To find the area of given figure ABFED,

First step is to make the figure a parallelogram as it is already given that the figure contain 2 parallel sides.

So, in order to make that, extend the line BF and DE to FC and EC respectively to make a right angle triangle (ΔFCE).

Together the given figure and the triangle make a complete parallelogram.

Then we use the formula:

Area of parallelogram = base × height

                           Area = 4 × 8

Area of parallelogram = 32 unit².

The we have to find the area of right angle triangle (ΔFCE):

Area of right angle Δ = \(\frac{1}{2}\)×b×h

                                   = \(\frac{1}{2}\) × 2 × 4

                                   = 4 unit²

Therefore, Area of the given figure = area of(parallelogram - right angleΔ)

                                                           = (32 - 4) unit²

Area of the given figure = 28 unit².

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Answer:

c=-35/4

Step-by-step explanation:

For this, we would use Vieta's theorem, which states the roots of the equation added together would equal -b/a, x₁ + x₂ = -b/a

Lets create a system with this:
x₁ - x₂ = 6 (This is given from the problem)

x₁ + x₂ = -b/a  or -1/1, plugging in the values from your equation

next, we would add these systems together

x₁ + x₂ + (x₁ - x₂) = 6 + (-1)
x₁ + x₁ = 5
2x₁ = 5

x₁ = 2.5

If we plug x₁ back in, we get:

2.5 - x₂ = 6

-x₂ = 3.5

x₂ = -3.5

Now that we have the roots, we can use Vieta's theorem again to say

x₁ * x₂ = c/a

Plugging this in, we get:

2.5 * -3.5 = c/a

Lets change things to fractions to make things easier

5/2 * -7/2 = c/a

Plugging in a, we get

-35/4 = c/1

-35 = 4c

c = -35/4

Hope this helps!

Answer:

               (rs)(4) = 8

Step-by-step explanation:

r(x)=2√x         s(x)=√x

(rs)(x) = r(x) × s(x) = 2√x ×√x = 2x

(rs)(4) = 2×4 = 8

Answer:

The second one is 2

Step-by-step explanation:

Just got it right on edg

Answer:

C: 4080.268

Step-by-step explanation:

Answer:

1. x= y-3

x+y=26

2.The slope is 1 and the y-intercept is -7.

Step-by-step explanation:

1. If x is boys and y is girls

x= y-3

x+y=26

2. the equation is in the form of y=mx+b

m is slope and b is the y-intercept

in y=1x-7 (which is the same as y=x-7) The slope is 1 and the y-intercept is -7.

To evaluate the left and right Riemann sums for n=10 over the interval [0,5], we will use tabulated values of f. The Riemann sum is a method used to approximate the area under a curve by dividing the interval into subintervals and evaluating the function at specific points within each subinterval.

The left Riemann sum uses the left endpoints of the subintervals, while the right Riemann sum uses the right endpoints. In this case, we are given tabulated values of f, which means we have specific function values at certain points. To evaluate the left and right Riemann sums, we will use these tabulated values.

First, we divide the interval [0,5] into 10 equal subintervals since n=10. Each subinterval will have a width of (5-0)/10 = 0.5. For the left Riemann sum, we evaluate the function at the left endpoints of each subinterval. Starting from the left endpoint of the interval, we use the tabulated values of f to find the corresponding function values for each subinterval and sum them up.

For the right Riemann sum, we evaluate the function at the right endpoints of each subinterval. Starting from the right endpoint of the interval, we use the tabulated values of f to find the corresponding function values for each subinterval and sum them up.

By evaluating the left and right Riemann sums, we can approximate the area under the curve represented by the function f over the interval [0,5]. The Riemann sum provides an estimation of the integral of the function and is a fundamental concept in calculus for understanding and approximating areas and other quantities.

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Answer:

Domain → (-∞, ∞) Or set of all real numbers

Range → (3, ∞) Or y > 3

Step-by-step explanation:

f(x) = (0.25)ˣ + 3

By using graphing tool find the graph of the given function.

Given exponential function is defined for all x-values and domain is a set of x-values (input values) of the function.

Domain of the function → (-∞, ∞) Or set of all real numbers

Range of a function is a set of y-values (output values)

Range of the given function → (3, ∞) Or y > 3

The phrase "He went to get milk but never came back" is often used as a humorous way to explain someone's absence or to imply that someone is unreliable or untrustworthy.

The phrase likely originates from a common experience where a child's parent, often their father, promises to go out to get something, like milk, but never returns. This can be a source of disappointment and confusion for the child, and the phrase has since been used in a joking manner to explain someone's failure to show up or fulfill a promise.

However, it is important to recognize that this experience can also be a source of trauma and should not be used to make light of someone's pain or loss.

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a. The limit of the given function, as x approaches 0 from the positive side, is 1.  b. Yes, The function is continuous at the point x = 0.

a. To find the limit of the given function, we substitute 0 into the expression and evaluate:

lim(x→0+) sin((3π/2)\(e^sqrt\)(x))

As x approaches 0 from the positive side, the term sqrt(x) approaches 0, and \(e^sqrt(x)\) approaches 1. Therefore, we can rewrite the expression as:

lim(x→0+) sin((3π/2)\(e^0\))

b. Since \(e^0\) is equal to 1, the expression simplifies to:

lim(x→0+) sin(3π/2)

The value of sin(3π/2) is equal to 1, so the limit of the function is 1.

Furthermore, since the limit exists and is equal to the value of the function at the point being approached, the function is continuous at x = 0.

Therefore, the answer is:

a. The limit is 1.

b. Yes, the function is continuous at x = 0.

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We can either round off 11.75 to 12 or to 11, depending on whether we want to overestimate or underestimate the number of cups of coffee sold. In the former case, the solution is (12, 31), and in the latter case, the solution is (11, 32).

Let the number of cups of coffee sold be x and the number of cups of tea sold be y. The ordered pair representing the solution will be (x, y).Given, a total of 43 cups were sold. Therefore, we have:

x + y = 43 ..... (1)

Also, the money collected was $140. Since cups of coffee are sold for $5 and cups of tea are sold for $2, we can write the total amount of money as:

5x + 2y = 140 ..... (2)

We have two equations (1) and (2) in two unknowns x and y. We can solve them to find the values of x and y.

Subtracting equation (1) from twice equation (2), we get:

8x = 94 => x = 11.75

Substituting this value of x in equation (1), we get:

11.75 + y = 43 => y = 31.25

The solution is the ordered pair (x, y) = (11.75, 31.25).

However, we need to remember that the number of cups must be integers and not fractions. We can see that 11.75 is not an integer. Therefore, we need to adjust our solution by rounding off appropriately.

We can either round off 11.75 to 12 or to 11, depending on whether we want to overestimate or underestimate the number of cups of coffee sold. In the former case, the solution is (12, 31), and in the latter case, the solution is (11, 32).

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Answer:

y^35

Step-by-step explanation:

Answer:

\( {( {y}^{ - 6} {y}^{11} ) }^{7} = {( {y}^{5}) }^{7} = \boxed{{y}^{35}}\)

B. No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

The Central Limit Theorem (CLT) is a fundamental concept in statistics that states that as the sample size increases, the sampling distribution of the sample means will approach a normal distribution. However, this is only true if certain conditions are met, one of which is having a large enough sample size.
The CLT states that the sampling distribution of x will be approximately normally distributed if the sample size is large enough (usually greater than 30). If the sample size is small, the sampling distribution may not be normally distributed. In such cases, other statistical techniques like the t-distribution should be used.
Furthermore, the CLT assumes that the population being sampled is not necessarily normally distributed, but it does require that the population has a finite variance. This means that even if the population is not normally distributed, the sampling distribution of x will still be approximately normal if the sample size is large enough.
In conclusion, the answer is B, as the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

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Answer:

1. 20 pounds

2. $11

Step-by-step explanation:

To set this up, you have to use a system of equations. It would look like this, where \(p\) is pounds and \(t\) is total cost:

UPS: \(t=7+0.20p\)

FedEx: \(t=5+0.30p\)

In order to solve a system of equations you must either a.) graph it, or b.) set them equal to each other.

If you graph it, the answer is where the two lines intersect.

If you set them equal to each other, solve it.

I will set them equal to each other in this:

\(7+0.20p=5+0.30p\)

The first step in a problem like this, where there's the same variable on both sides, is to subtract the smaller variable from both sides. In this case, it is  \(0.20x\). That would turn the equation into:

\(7=5+0.10p\)

After that, you must solve it like a regular two-step equation.

Start by subtracting 5 from both sides:

\(2=0.10p\)

Now, you must divide both sides by \(0.10\).

\(\frac{2}{0.10}=\frac{0.10p}{0.10}\)

That would give us:

\(20=p\)

This means that in order for the prices to be the same, the package must be 20 pounds.

Now in order to find the total cost, you must plug 20 into one of the equations. It doesn't matter which, since they both equal the same. I will plug it into the FedEx equation:

\(t=5+0.30(20)\)

Now you can just use a calculator and solve that or do it by hand. Multiply 0.30 by 20, to get 6, then add 5, which equals 11.

You should get: \(t=11\).

This means that the total cost, when the costs are the same for both FedEx and UPS, is $11.

Answer:

5.15

Step-by-step explanation:

The system described by the Laplace transform h(s) = s / (s^2 + s – 20) is a bandpass system.


To determine if a system is lowpass or bandpass, we examine the poles of its transfer function. In this case, the denominator of the Laplace transform represents the characteristic equation of the system.
The roots of the characteristic equation can help us identify the system’s frequency response. If the roots are real and negative, the system is lowpass. If the roots are complex conjugate pairs with positive real parts, the system is bandpass.
For the given system, we need to find the roots of the denominator: s^2 + s – 20 = 0. By factoring or using the quadratic formula, we find the roots to be s = 4 and s = -5.
Since the roots are real and have different signs (+4 and -5), the system is not lowpass. Instead, it is a bandpass system because it allows a range of frequencies to pass while attenuating others.

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x=2/3

6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10

Answer:

2x-1=y,2y+3=x

Step-by-step explanation:

no explanation

The ratio of the average inventory level in this scenario over the optimal average inventory is approximately 0.103.

To find the ratio of the average inventory level in this scenario over the optimal average inventory, we need to calculate the average inventory levels for both scenarios.

For the given scenario:

Order Quantity = 1,600 kilograms

Daily Usage Rate = 80 kilograms/day

Lead Time = 4 days

Total Demand (annual) = 80 kilograms/day * 365 days

= 29,200 kilograms

Ordering Cost = $200 per order

Holding Cost = $0.5 per kilogram per day

Using the Economic Order Quantity (EOQ) formula, the optimal order quantity can be calculated as follows:

EOQ = √((2 * Ordering Cost * Total Demand) / Holding Cost)

= √((2 * $200 * 29,200) / $0.5)

= √(116,800,000)

≈ 10,806 kilograms

Now, let's calculate the average inventory level for the given scenario:

Average Inventory = (Order Quantity / 2) + (Daily Usage Rate * Lead Time)

= (1,600 / 2) + (80 * 4)

= 800 + 320

= 1,120 kilograms

To find the ratio, we divide the average inventory level for the given scenario by the optimal average inventory:

Ratio = Average Inventory / Optimal Average Inventory

= 1,120 / 10,806

≈ 0.103

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Answer:

5/8

Step-by-step explanation:

count the squares between one point to the other

Answer:

slope= 7/4

Step-by-step explanation:

It is better to find a couple of line points on the plane whose coordinates are easy to read. two such points are: (-1,-3) and (3, 4) (see attached image).

Then use the slope formula with them:

\(slope=\frac{y_2-y_1}{x_2-x_1} =\frac{4-(-3)}{3-(-1)} =\frac{7}{4}\)

A principal amount of P 200,000 was deposited for a period of 4 years and 6 months, and it earned an interest of P 85,649.25. To find the rate of interest compounded monthly, we can use the formula for compound interest and solve for the interest rate.

The formula for compound interest is given by A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, we are given the principal amount P as P 200,000, the final amount A as P 285,649.25 (P 200,000 + P 85,649.25), the time t as 4 years and 6 months (or 4.5 years), and we need to find the interest rate r compounded monthly (n = 12).

Using the given values in the compound interest formula and solving for r, we can find the rate of interest. By rearranging the formula and substituting the known values, we can isolate the interest rate r and calculate its value.

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Answer:

1/6

Step-by-step explanation:

There are 4 cards, 2 of which are primes

P(prime) =number of primes/total

               = 2/4 = 1/2

Keep the card, now we have 3 cards, 1 of which is a prime

P(prime) =number of primes/total

               = 1/3

P(prime, keep , prime) = 1/2*1/3 = 1/6

Answer:

mary has 135 coins.

Step-by-step explanation:

let the coins that john has be x

and coin mary than = 3x

according to the question equation is

x + 3x = 180

4x = 180

x = 180 / 4

x = 45

coins mary has  = 3x

=3*45

=135

Answer:

4w4 + 10w5 - 5w3

Step-by-step explanation:

Let x be the dilation factor, then we can write

If we move 28 to the right hand side, we get

therefore, the answer is option D

-9u - v = -49i - 33j

To find -9u - v, you need to multiply the vector u by -9 and subtract the vector v from the result.

Given u = 5i + 4j and v = 4i - 3j, first multiply u by -9:

-9u = -9(5i + 4j) = -45i - 36j

Now, subtract the vector v from -9u:

-9u - v = (-45i - 36j) - (4i - 3j) = (-45i - 4i) + (-36j + 3j) = -49i - 33j

Answer:

all will be 45* angles except the 90* one because a triangle always has 180* angle if you add them all up

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the concept of Triangles.

1.) Sin x = 20/36 , hence x° = 33.74

2.) Sin n = 35/51, hence n° = 43.33

3.) Cos z = 18/21 , hence z° = 31.00

4.) Tan w = 15/6 , hence w° = 0.04