36p^3+60p^2-81p-135=0

Btw the ^ is for an exponent

Answer:

Stephan adds $12.50 per week to the amount he owes on the loan and will pay back the loan in 125 weeks.

Step-by-step explanation:

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Answer:

d) 123

Step-by-step explanation:

123 as,

angle CDA =57 and angle BCD = 180 - CDA (They form a linear pair)

So, BCD = 180 - 57

=> BCD = 123

Hope this helps you, mark me as brainliest please, Thank you

Hope it helps :) and let me know if you want me to explain why

Answer:

A

Step-by-step explanation:

DECYPHERED

Answer: The answer is 4/5

Step-by-step explanation:

Add the numerators and keep the denominators the same:

2/5 + 2/5 = 4/5

Answer:

D) 4/5

Step-by-step explanation:

When adding fractions together all you have to do is add the numerators together, you leave the denominators alone. So 2+2=4 and then you leave the 5's alone. So it would then be 4/5.

Hope this helps!!!

Answer: D

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Alexi originally has $43 in his bank account and deposits $7 per week.

Week 1: $50

Week 2: $57

Week 3: $64

Week 4: $71

Week 5: $78

The pattern is that it increased $7 every week starting from $43.

A pattern rule would be: y = 7x + 43 where x represents the number of weeks.

To keep a block hanging at rest while rotating in a circle of radius r = 0.40 m, the puck must rotate with a specific speed. This speed can be determined by balancing the gravitational force acting on the block with the centripetal force required for circular motion.

When the puck rotates in a circle of radius r, the block experiences a centripetal force that keeps it in circular motion. This centripetal force is provided by the tension in the string. At the same time, the block is subject to the force of gravity pulling it downward. For the block to remain at rest, these forces must balance each other.

The gravitational force acting on the block is given by Fg = m * g, where m is the mass of the block and g is the acceleration due to gravity.

The centripetal force required for circular motion is given by Fc = m * (v^2 / r), where m is the mass of the block, v is the speed of rotation, and r is the radius of the circle.

For the block to remain at rest, Fg must equal Fc. Therefore, we can set up the equation:

m * g = m * (v^2 / r)

Simplifying the equation, we can cancel out the mass of the block:

g = v^2 / r

Rearranging the equation, we can solve for v:

v^2 = g * r

Taking the square root of both sides, we get:

v = √(g * r)

Plugging in the given values, where r = 0.40 m, and g is the acceleration due to gravity, approximately 9.8 m/s^2, we can calculate the speed of rotation v.

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Answer:

have a great day

god bless you

The equation of the transformed exponential function g(x) is g(x) = 2^-x - 1

From the question, we have the following parameters that can be used in our computation:

Parent function: y = 2^x

The graph of the transformed exponential function g(x) passes through the points  (-2,3), (-1,1), (0,0), (1,-0.5) and (2, -0.75)

So, we have the following transformation steps:

1st Transformation:

Reflect y = 2^x across the y-axis

So, we have

y = 2^-x

2nd Transformation:

Translate y = 2^-x down by 1 unit

So, we have

y = 2^-x - 1

This means that

g(x) = 2^-x - 1

Hence, the equation of the function g(x) is g(x) = 2^-x - 1

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1) The wavelength of A is equal to 6.98 × \(10^{-8}\)meters

2) The wavelength of B is equal to 3.45 × \(10^{-11}\) meters

Since we know that the wavelength = speed of light / frequency

The speed of light is 3.00 × \(10^8\) meters per second.

For light sample A with a frequency of 4.30 × 10^15 Hz can be calculated as;

wavelength of A = (3.00 ×  \(10^8\)  m/s) / (4.30 × 10^15 Hz)

wavelength of A = 6.98 ×  \(10^{-8}\) meters

For light sample B with a frequency of 8.70 × \(10^18\) Hz can be calculated as;

wavelength of B = (3.00 ×  \(10^8\) m/s) / (8.70 ×\(10^18\) Hz)

wavelength of B = 3.45 ×  \(10^{-11}\)  meters

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To find the number of customers at the carwash, we can use Little's Law which states that the average number of customers in a queuing system is equal to the average arrival rate multiplied by the average time that a customer spends in the system.

First, we need to convert the arrival rate and service rate into units of minutes by dividing by 60. So, the arrival rate is 7/60 customers per minute and the service rate is 12/60 customers per minute.

Since we know the average waiting time in the line is 18 minutes, we can calculate the average time that a customer spends in the system as the sum of the waiting time and the service time, which is 18 minutes (waiting time) + 5 minutes (service time) = 23 minutes.

Using Little's Law, the average number of customers in the system is then:

Average number of customers = average arrival rate * average time in system

= (7/60) * 23

= 2.55

Therefore, there are approximately 2.55 customers (waiting and being served) at the carwash.

In summary, Little's Law can be used to determine the average number of customers in a queuing system given the arrival rate and the average time that a customer spends in the system. In this case, we used Little's Law to find that there are approximately 2.55 customers (waiting and being served) at the carwash based on an arrival rate of 7/ hour, a service rate of 12/ hour, and an average waiting time of 18 minutes.

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To determine the slope equations and compute the contour slopes in x and y at a specific point (2, 3) on the land parcel's contour, we can use the partial derivative of the contour equation with respect to each independent variable.

To find the slope equations, we need to calculate the partial derivatives of the contour equation with respect to x and y.

To find the slope equation with respect to x, we differentiate the equation with respect to x while treating y as a constant:

∂z/∂x = 0.5t + lny - 2sin(x)

Similarly, to find the slope equation with respect to y, we differentiate the equation with respect to y while treating x as a constant:

∂z/∂y = x/y

Now, to compute the contour slopes in x and y at the point (2, 3), we substitute the values of x = 2 and y = 3 into the slope equations:

Slope in x at (2, 3):

∂z/∂x = 0.5t + ln(3) - 2sin(2)

Slope in y at (2, 3):

∂z/∂y = 2/3

By evaluating the above expressions, we can determine the contour slopes in x and y at the point (2, 3) on the land parcel's contour.

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Answer:

30°

Step-by-step explanation:

Since the folded paper can fit into the slide three times, we simply have to multiply 10° by 3:

10° * 3 = 30°

The angle of the slide is 30°

Answer:

A translation is when you move in a direction but the shape doesn't turn or change.

You translate an image by moving a shape in any direction without turning it for example: *draw a shape* then move it to anywhere but don't turn the shape.

An easy way of finding the new coordinates is just by looking to which respect it's too. For example when you do a respect to the y axis you keep the second number in the coordinate pair and change the first number's sign in the coordinate pair same to the x axis.

It depends on their sign. Change in x-coordinate. Change in y-coordinate. Right. Increases. No Change. Left. Decreases. No Change. Up. No Change. Increases. Down. No Change. Decreases .

We use vectors to represent a translation. Which means we need direction (up, down, left, or right) and magnitude (length of units).

every $5 bet on red, you can expect to lose about 26 cents. In other words, the casino has an edge over the player in roulette, as the expected value of each bet is negative.

The probability of winning a bet on red is 18/38, and the probability of losing is 20/38. If you win, you receive $5 in addition to the return of your original bet. If you lose, you lose the entire $5. Therefore, the expected net winnings for a $5 bet on red can be calculated as follows:

Expected net winnings = (Probability of winning × Amount won) – (Probability of losing × Amount lost)
Expected net winnings = (18/38 × $5) – (20/38 × $5)
Expected net winnings = -$0.263

This means that on average, for every $5 bet on red, you can expect to lose about 26 cents. In other words, the casino has an edge over the player in roulette, as the expected value of each bet is negative.

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The value of a is 133 and b is 999.

A vinculum is a horizontal line that serves a variety of functions in mathematical notation.  In decimal numbers, a bar across one or more consecutive digits indicates that the pattern of digits beneath the bar repeats indefinitely.

Given \(0.\overline{1331}\). This means that 1331 repeats many times in this expression. This expression is the same as 1330/9990.

1, 7, 19, and 133 are factors of 133, and  1, 3, 9, 27, 37, 111, 333, and 999 are the factors of 999. From this, the GCD is found to be 1.

Therefore, by simplifying, we get 1330/9990 = 133/999. The answer to a is 133 and b is 999.

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The t-interval where the curve is concave upward is:

(a) To find dy/dr, we use the chain rule:

dy/dt = dy/dx * dx/dt

dy/dt = (dy/dt)/(dx/dt) [using the reciprocal rule]

Now, we can find dy/dx using the given parametric equations:

dy/dx = (dy/dt)/(dx/dt) = [5(-sin(t))]/[-2sin(2t)]

Simplifying the expression, we get:

dy/dx = -5/2cos(t)

To find d^2y/dx^2, we use the quotient rule:

d^2y/dx^2 = [(d/dt)(-5/2cos(t))(2cos(2t)) - (-5/2sin(t))(-4sin(2t))]/[-2sin(2t)]^2

Simplifying the expression, we get:

d^2y/dx^2 = -5/2cos(3t)

(b) To find where the curve is concave upward, we need to find where d^2y/dx^2 is positive. We know that cos(3t) is positive when 0 < t < 2π/3 and 4π/3 < t < 2π. Therefore, the t-interval where the curve is concave upward is:

(0, 2π/3) U (4π/3, 2π)

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Answer:

for this one

midpoint=(0.5,6.5)

distance=7.1

Step-by-step explanation:

hope this help u

Answer:

18. 24%

19. $60.75

Step-by-step explanation:

18. You have to divide the change by the original number to find percent change. In this case you need to do 12/50 = 0.24. Therefore, the discount is 24%.

19. You have to multiply the original price by 0.25 to find how much the discount costs, then decrease the discount cost from the original price, which in this case is 90*0.25 = 22.50, you then have to decrease the sales price by 10% so you have to repeat the same thing with 0.1, so 67.5*0.1 = 6.75, 67.5- 6. 75 = 60.75. The final price is $60.75.

If Muenster, inc., has an equity multiplier of 1.35, total asset turnover of 1.87, and a profit margin of 6.1 percent, its ROE, using the Du Pont Identity, is 15.4%.

Under the DuPont equation or model, the ROE (Return on Equity) equals the profit margin multiplied by asset turnover multiplied by financial leverage.

The ROE can also be represented as equal to PM (operating efficiency measured by profit margin) x TAT (asset use efficiency measured by total asset turnover) x EM (financial leverage measured by equity multiplier)

Equity multiplier = 1.35

Total asset turnover = 1.87

Profit margin = 6.1%

ROE (Return on Equity) using the Du Pont Identity = 6.1 x 1.35 x 1.87

= 15.4%

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Answer:

97.75

Step-by-step explanation:

15% of 85 is  12.75

12.75 + 85 = 97.75

Hope this helps have a nice day

To save enough money to pay for one year of school, regardless of interest earned on the savings, Yasmine should choose a plan that allows her to save $9,000 annually. This means she should opt for a savings plan that offers a high-interest rate or a low-risk investment option.

Here are a few options that Yasmine can consider:

High-yield savings account: Yasmine can open a high-yield savings account that offers a competitive interest rate. By depositing $9,000 annually into the account, she can accumulate the required funds for one year of school.

Certificate of Deposit (CD): Yasmine can invest her money in a CD with a fixed interest rate and a specific maturity period, such as one year. This way, she can ensure that her savings are protected and will grow over time.

Money market account: Yasmine can open a money market account that typically offers higher interest rates than regular savings accounts. By consistently contributing $9,000 per year, she can build up the necessary funds for her education.

Remember, it is essential for Yasmine to research and compare different savings options, considering factors such as interest rates, fees, and any potential restrictions or penalties associated with the account. Consulting with a financial advisor can also provide valuable insights tailored to Yasmine's specific financial situation and goals.

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The series is a convergent p-series with p = 3/2.

The given series is:

1 + 1/(2√2) + 1/(3√3) + 1/(4√4) + 1/(5√5) + ...

To determine whether this series is convergent or divergent, we can rewrite it as:

Σ (1/n√n) from n = 1 to ∞

Now we can use the p-series test. A p-series is of the form Σ (1/n^p) from n = 1 to ∞, where p is a constant. If p > 1, the series is convergent; if p ≤ 1, the series is divergent.

In this case, we have:

1/n√n = 1/n^(3/2)

So, p = 3/2. Since p > 1, the series is a convergent p-series with p = 3/2.

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Answer:

(-1,0) and (5,0)

Step-by-step explanation:

The roots are the points where the y-value is 0 and the point lies exactly on the x-axis.

(blank,0)

In this parabola, the points that are exactly on the x-axis is (-1,0) and (5,0)

Answer:

i think its 8z-9 if im not wrong :)

Step-by-step explanation:

SOLUTION.

The area of the entire region will be to find the area of the isosceles triangle and the semi-circle.

Then

The area of the isosceles triangle is 30.354 square units

We need to obtain the diameter of the semi-circle using the cosine rule

We need to obtain the value of x,

Take square root of both sides, we have

Hence, the diameter is 9.74

Then the radius will be

The area of the semi-circle is

The area of the semi circle is 37.42 square units

Therefore the area of the region will be

Thus

The area of the region is 67.96 units²

Answer:

Plot the point (6, 2). From there, move 3 units up and then 4 units to the left. You will be at (2, 5). Plot that point, and then draw a line through (6, 2) and (2, 5).

Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.