Find the sales price of each item. Round to two decimal places when
necessary
1. Original price $45.00; markdown 22%
2 points
$35.00
$35.10
$35.50

Answer:

Step-by-step explanation:

V =πr²h                              Volume of cylinder

200 = πr²h                         Substitute V = 200

\(\sf \dfrac{200}{\pi r^2} =h\)                               Make the subject as h

\(\sf SA = 2\pi r^2 + 2\pi rh\)               Total Surface area of cylinder

\(\sf SA = 2\pi r^2 + 2\pi r*\left(\dfrac{200}{\pi r^2}\right)\)   Plugin the value of h from step 3

r = 3.169 cm                       Using the graph find the value of r

\(\sf h = \dfrac{200}{\pi *3.169^2} = 6.34 \ cm\)        Substitute the value of 'r' and find the h value          

Answer:

NULL ; TRUE

Step-by-step explanation:

The sampling distribution is on the assumption that the null hypothesis is true .

The null hypothesis is a general statement that states that there

is no relationship between two phenomenon's under

consideration or that there is no association between two groups.

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The sampling distribution is based on the assumption that the null hypothesis is TRUE.  

A null hypothesis is a general statement that something is. There is no relationship between the two phenomena under or consider that there is no relationship between the two groups.  

The sampling distribution is based on the assumption that the null hypothesis is TRUE.

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Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.

Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.

From the given information, we can set up the following equations:

Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)

Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)

We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.

Let's calculate the determinants:

D = determinant of the coefficient matrix

Dx = determinant of the matrix obtained by replacing the x column with the constants

Dy = determinant of the matrix obtained by replacing the y column with the constants

Using Cramer's rule, we can find the values of x and y:

x = Dx / D

y = Dy / D

Now, let's calculate the determinants:

D = (0.5)(10) - (0.7)(8) = -1.6

Dx = (16.5)(10) - (0.7)(246) = 150

Dy = (0.5)(246) - (16.5)(8) = -18

Finally, we can calculate the values of x and y:

x = Dx / D = 150 / (-1.6) = -93.75

y = Dy / D = -18 / (-1.6) = 11.25

However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:

x ≈ -94 (rounded to -94)

y ≈ 11 (rounded to 11)

Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

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Question

Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).

Answer:

A

Step-by-step explanation:

This is because from the data we can tell its increasing 1.50$ per 5 goldfish.

1.50/5=.30

The given linear time-invariant (LTI) system is described by a third-order linear constant coefficient differential equation. To determine the frequency response of the system, we can take the Laplace transform of the differential equation and solve in the Laplace domain

(a) To find the frequency response, we start by taking the Laplace transform of the given differential equation. Let \(Y(s)\) and \(X(s)\) represent the Laplace transforms of \(y(t)\) and \(x(t)\) respectively. By applying the Laplace transform, we obtain:

\[2s^3Y(s) + 4s^2Y(s) + 10sY(s) = 5X(s) + 2sX(s)\]

Simplifying the equation, we get:

\[Y(s) = \frac{5X(s) + 2sX(s)}{2s^3 + 4s^2 + 10s}\]

This equation represents the transfer function of the system in the Laplace domain. To obtain the frequency response, we substitute \(s = j\omega\) into the transfer function, where \(\omega\) represents the angular frequency.

(b) To approximate the Bode plot, we analyze the frequency response at low and high frequencies. At low frequencies (\(\omega \to 0\)), the terms involving \(s\) dominate, and the transfer function can be approximated as:

\[Y(j\omega) \approx \frac{2j\omega X(j\omega)}{2j\omega}\]

Simplifying, we find that the low-frequency gain is 1, indicating that the system passes low-frequency signals without significant attenuation.

At high frequencies (\(\omega \to \infty\)), the terms involving \(s\) become negligible compared to the constant term. Thus, the transfer function can be approximated as:

\[Y(j\omega) \approx \frac{5X(j\omega)}{10j\omega}\]

In this approximation, the gain decreases by -20 dB/decade, indicating that the system attenuates high-frequency signals.

The cutoff frequencies of the system can be determined from the Bode plot where the gain decreases by -3 dB. These frequencies represent the boundary between the passband and stopband of the system.

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Answer:

its c hope this helps:)

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

you do 3/5 times 1/2 which is 3/10

half of 3/5 is 3/10

hope this helps

correct me if this is wrong

Answer:

1

Step-by-step explanation:

To find the median number of musical instruments played, we first need to arrange the data in ascending order:

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3

Next, we count the total number of responses, which is 15. Since 15 is an odd number, the median will be the average of the middle value.

The middle value is 1

Hence, the median number of musical instruments played is 1.

Answer:

whole number

Step-by-step explanation:

the smallest whole number is 0

Answer:

A. A Whole Number

Step-by-step explanation:

A whole number is any number from 0+

Hope it helped!

Answer:

18 times

Step-by-step explanation:

Number of even numbers on spinner = 3

Total number of sections on spinner = 8

Probability of obtaining an even number on one spin = 3/8

Number of times an even number can be obtained from 48 spins = 3/8 * 48 = 18 times

The value of x for the equation I s derived to be equal to -0.8354 using logarithm.

Taking the logarithm of both sides of the equation to base 10, we get:

log(4^(-x + 4)) = log(17^(-5x))

Using the power rule of logarithms, we can simplify both sides of the equation as;

(-x + 4) log(4) = (-5x) log(17)

Distributing the lig(4) and log(17), we get:

-xlog(4) + 4log(4) = -5xlog(17) {all in base 10}

5x log(17) - xlog(4) = 4 log(4) {collect like terms}

x[5log(17) - log(4)] = 4log(4)

x = 4log(4)/[5log(17) - log(4)] {divide through by the coefficient of x}

x ≈ -0.8354

Therefore, the value of x for the equation I s derived to be equal to -0.8354 using logarithm.

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The total cost for a waiting line does NOT specifically depend on d. the cost of a lost customer.

The cost of a waiting line system is typically determined by the cost of waiting and the cost of providing service. The cost of waiting can include factors such as the value of customers' time and the negative impact of waiting on customer satisfaction. The cost of service can include factors such as employee wages and overhead costs. The number of units in the system can also have an impact on the total cost, as higher demand may require more resources and lead to longer wait times. However, the cost of a lost customer is not typically considered a direct cost of the waiting line system, as it is not directly related to the operation of the system itself but rather to the potential impact on business revenue and customer loyalty.

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Answer:

(5, 2)

Step-by-step explanation:

\(Midpoint \: of \: segment \: CD \\\\ = \bigg( \frac{ 3+ 7 }{2}, \: \: \frac{-5+9}{2} \bigg) \\ \\ = \bigg( \frac{ 10 }{2}, \: \: \frac{4}{2} \bigg) \\ \\ = ( 5, \: \: 2)\)

In order to find the value of N in the equation when T = 60, we just need to apply the value of T and then calculate the value of N.

So we have that:

So the number of chirps per minute is 80

The correct option A. Perfect Square Trinomial, is obtained when a square of a binomial is factored.

Now as per the stated condition in question;

Consider a binomial; (a + b)

Square of the binomial;

(a + b)² = a² + b² + 2ab

So, the result comes is Perfect Square Trinomial,

Perfect Square Trinomial: A perfect square trinomial is an algebraic expression formed by squaring a binomial representation. It has the formula ax² + bx + c.

Here, a, b, and c are all real numbers, and a is not zero.

Therefore, square of a binomial when factored gives the perfect square trinomial.

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The correct question is-

Which of the following will result to a square of a binomial when factored?

A. Perfect Square Trinomial

C. Sum of Two Cubes

B. General Quadratic Trinomial

D. Difference of Two Squares

Let θ be equal to 855∘. Sketch θ in standard position. θ = 855∘ is in the fourth quadrant of the coordinate plane θ = 855∘

Hence, we sketch θ in the standard position with its initial side along the positive x-axis.

Find an angle between 0∘ and 360∘ that is coterminal with θ.

The angle between 0∘ and 360∘ that is coterminal with θ is given by:

θ1 = θ - n × 360∘θ1 = 855∘ - 2 × 360∘θ1 = 855∘ - 720∘θ1 = 135∘

Find an angle between −360∘ and 0∘ that is coterminal with θ.

The angle between −360∘ and 0∘ that is coterminal with θ is given by:

θ2 = θ + n × 360∘θ2 = 855∘ + 2 × 360∘θ2 = 855∘ + 720∘θ2 = 1575∘

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Answer

Let x be the number of tickets sold to adults and y the number sold to students:

x + y = 315. But we know that y was double x, then :

y = 2x

Plug the value of y (in the 1st equation) by 2x:

x+ 2x = 315

3x = 315

and x = 105 (which is the number of tickets sold to adults

Given

A bag contains 13 red balls numbered 1-13 and 5 green balls numbered 14-18.

And a ball is chosen at random.

To find:

a) The probability that you choose a ren or even numbered ball.

b) The the probability you choose a green ball or a ball numbered less than 5.

Explanation:

It is given that,

The total number of balls is (13+5)=18.

The number of red balls is 13 numbered from 1-13.

The number of green balls is 5 numbered from 14-18.

i) Then, the probability of getting a a red or even numbered ball is,

Here,

That implies,

Hence, the probability of getting a red or even numbered ball is 0.89.

ii) Also,

The probability of getting a green ball or a ball numbered less than 5 is,

Here,

Then,

Hence, the probabilty of getting a green ball or a ball numbered less than 5 is 0.11.

Answer:

b=45 c=45

Step-by-step explanation:

Answer:

-779.0747305. its the answer

Answer:

Step-by-step explanation:

\( \sqrt[4]{81} - 8 \sqrt[3]{343} + 15 \sqrt[5]{32} + \sqrt{225} \)

Calculate the root

\(3 - 8 \sqrt[3]{343} + 15 \sqrt[5]{32} + \sqrt{225} \)

Calculate the cube root

\(3 - 8 \times 7 + 15 \sqrt[5]{32} + \sqrt{225} \)

Calculate the root

\(3 - 8 \times 7 + 15 \times 2 + \sqrt{225} \)

Calculate the square root

\(3 - 8 \times 7 + 15 \times 2 + 15\)

Multiply the numbers

\( 3 - 56 + 30 + 15\)

Calculate the sum or difference

\( - 8\)

Hope this helps...

Good luck on your assignment..

Answer:

The answer is 2^4=16

Step-by-step explanation:

The answers to the subparts of the arithmetic sequence are shown:

So, the formula is: aₙ = 5 + 3 (n − 1)

So, 5th term or n = 5:

Similarly, the 9th term or n = 9:

Therefore, the answers to the subparts of the arithmetic sequence are shown:

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The correct question is given below:

Consider the arithmetic sequence an = 5 + 3 (n − 1)

a. What are the first 5 terms of the sequence?

b. What is the 9th term in the sequence?

The principal plus interest which gives the amount in the account after each year are;

Simple interest is the product of the principal amount, the rate and the time of investment

The amount Brayden deposited in the savings account, P= $2,700

The interest on savings account, R = 0.3% simple interest

The simple interest formula is, I = P•R•T

The interest in the account after each year is therefore;

1st year = $2,700×0.3%×1 = $8.7

The interest in 2 years, I = 2×$8.7 = $17.4

3 years, I = $8.7 × 3 = $26.1

4 years, I = $8.7 × 4 = $34.8

5 years, I = $8.7 × 5 = $43.5

The amount in the account after each of the 5 years are therefore;

1st year, A = $2,700 + $8.7 = $2,708.7

2nd year, A = $2,700 + $17.4 = $2,717.4

3rd year, A = $2,700 + $26.1 = $2,726.1

4th year, A = $2,700 + $34.8 = $2,734.8

5th year, A = $2,700 + $43.5 = $2,743.5

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Answer:

$2 price per pound

2 is the constant of proportionality

Step-by-step explanation:

Price of Cherries = $2 per pound

what is the constant of proportionality

If y = total cost of buying x pounds of Cherries at $2 per pound

The equation below represent the situation

y = $2 * x

y = 2x

The constant of proportionality is 2

That is, the $2 price per pound

The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

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Answer:

x can be -2

Step-by-step explanation:

Let

f(x)=x+2

x+2=0

x= -2

Answer:

x = -2

Step-by-step explanation:

subtract 2 both sides x-2 0-2

first side left with x

second side -2

so your left with x=-2

Average rate of change of \(y = x^2 + 4x - 1\\\) over the interval \(-4 \leq x \leq 1\)  is 1

What is average rate of change of a curve?

Average rate of change of a curve is equal to the slope of the curve and is obtained by dividing the change in functional value by the change in the value of the domain.

Here,

\(y = x^2 + 4x - 1\\\)

At x = -4,

\(y = (-4)^2+ 4(-4)-1\\y = -1\)

At x = 1

\(y = (1)^2 + 4(1) -1\\y = 4\)

Average rate of change of \(y = x^2 + 4x - 1\\\) over the interval \(-4 \leq x \leq 1\)

= \(\frac{4 - (-1)}{1- (-4)}\\\\\\\frac{5}{5}\\\\1\)

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Answer:

some circles are similar to a circle with a radius unit of 1

Step-by-step explanation:

(x-a)²