Cassandra is creating a program and for one part she uses the following rule to move points across the screen
(x,y) → (x - 5, y + 6)
What output does the rule give when the input is (5,-6) and explain the process.

If cosA = 24/25 tanB = 4/3 and angles A and B are in Quadrant I. The value of tan(A-B) is -23/33.

We can start by using the identity: tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

From the given information, we have:

cos A = 24/25, which means sin A = sqrt(1 - cos^2 A) = 7/25 (since A is in Quadrant I)

tan B = 4/3, which means sin B = 4/sqrt(4^2 + 3^2) = 4/5 and cos B = 3/sqrt(4^2 + 3^2) = 3/5

Now, we can use the definitions of sine and cosine to find tan A:

tan A = sin A / cos A = (7/25)/(24/25) = 7/24

Substituting the values we have found into the formula for tan(A - B), we get:

tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

= [(7/24) - (4/3)]/[1 + (7/24)(4/3)]

= (-13/72)/(25/72)

= -13/25

Therefore, tan(A - B) = -13/25.

Learn more about tan(A - B) here:https://brainly.com/question/24305408

#SPJ1

Answer:

8p + 24 dollars

Step-by-step explanation:

1 hour = (p+3)

8 hours = 8 (p+3)

=> 8p + 24

In 8 hours, Cheryl earns 8p + 24 dollars.

Answer:

\(\boxed{8p + 24}\)

Step-by-step explanation:

Hey there!

Well if Cheryl earns p + 3 per hour and it is asking us to find the amount made in 8 hours, we can make the following,

8(p + 3)

8*p = 8p

8*3 = 24

Together,

8p + 24

Hope this helps :)

Answer:

the new point would be (1, 10).

Step-by-step explanation:

if you start with the point (6, 7) and go left 5 units and up 3 units, then the new point you land on is (1, 10) as you can see in the picture below. hope this helped!

Answer:

C

Step-by-step explanation:

Not congruent because you have congruent only

1 pair or Angles and one pair of Sides ( the one that is shared in the middle )

Answer:0.32$

Step-by-step explanation:2.56/8=0.32$

The values are:

Variable X: 0

Variable Y: 5

Variable Z: 11

We have,

Let's simplify the expression on the left-hand side first:

\((3 \times 5)^4 \times (2 \times 3)^5 \times (2 \times 5)^7 = 15^4 \times 6^5 \times 10^7\)

Now, let's compare the simplified expression to the right-hand side expression:

\(15^4 \times 6^5 \times 10^7 = 2^x \times 3^y \times 5^z\)

From this comparison, we can determine the values of x, y, and z by equating the exponents of the prime factors 2, 3, and 5 on both sides.

By comparing the exponents:

x = 0 (since there is no 2 on the left-hand side)

y = 5 (since \(6^5 = 2^5 \times 3^5\))

z = 11 (since \(10^7 = 2^7 \times 5^7\))

Therefore,

The values are:

Variable X: 0

Variable Y: 5

Variable Z: 11

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer:

37

Step-by-step explanation:

Given that:

Amount in saving account = $2035

Monthly spending = $55 ; spending will continue until savings run out :

The function can be expressed as :

Savings - (monthly spending * period)

y = 2035 - 55x

The intercepts ;

Value of x, when y = 0

0 = 2035 - 55x

55x = 2035

x = 2035 / 55

x = 37

Value of y, when x = 0

y = 2035 - 55(0)

y = 2035 - 0

y = 2035

Hence, x intercept for the function is 37

$592 is the minimum cost in dollars for a fair to be included in the highest 3% of domestic airfares. Using the concept of probability -

Probability is a mathematical discipline that concerns with numerical figures of how probable an occurrence is to occur or how probably a statement is to be true. A number between 0 and 1 is the probability of an occurrence, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Mean – 385 per ticket

Standard Deviation - 110

Now,

P (Z > x ) = 0.03

Value of z to the cumulative probability of 0.03 from the normal distribution table is 1.88

P(x - u / (standard deviation) > x - 385/110) = 0.03

That is, (x - 385/110) = 1.88

Therefore, x = 1.88 ×( 110+385)

= 591.91 or $592

To know more about probability refer to:

https://brainly.com/question/24756209

#SPJ4

410/5 = ?

410/5 = 82

82 miles per hour

82*12 = ?

82*12 = 984

Answer: 984 miles in 12 hours

Answer:

Step-by-step explanation:

Ggjj

The probability that a randomly chosen plant is detected incorrectly is 0.02965 = 2.965%.

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

Using the above as a guide, we have the following:

Probability = 2% * 3.5% + 3% * 96.5%

Evaluate

Probability = 0.02965

Rewrite as

Probability = 2.965%

Hence, the probability is 2.965%.

Read more about probabilities at

https://brainly.com/question/31649379

#SPJ4

Question

The test to detect the presence of a certain protein is 98% accurate for corn plants that have the protein and 97% accurate for corn plants that do not have the protein.

If 3.5% of the corn plants in a given population actually have the protein, the probability that a randomly chosen plant is detected incorrectly is

Answer:

435cm³

is my answer correct?

im pretty sure it is...

what is the 4.7cm the radius or circumference

if its the circumferance the answer is 1.753

Step-by-step explanation:

Answer: \(M = 50 + 7.50 h\)

Step-by-step explanation:

As per the given scenario,

Total money Christina made = (Money she made in tips) + (Per hour wage ) x (Number of hours she work in one night)   (i)

Let M is the total money she makes and h is the number of hours she works in one night.

Here, Money she made in tips = $ 50

Per hour wage = $7.50

So substitute all the values in (i), we get

\(M = 50 + 7.50 h\)

Hence, the required function is \(M = 50 + 7.50 h\).

Answer:

The answer is C.) y = 2x + 5

Answer:

Step-by-step explanation:

Total surface area:

So

TSA

The interest rate your friend is charging you for the $20,000 loan is 20% per year.

The simple interest is expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is the interest rate and t is time.

Given that;

The Principal P = $20,000

Accrued amount A = $40,000

Elapsed time t = 5 years

Interest rate r =?

Plug these values into the above formula and solve for the interest rate r:

\(A = P( 1 + rt )\\\\r = \frac{1}{t}( \frac{A}{P} -1 ) \\\\r = \frac{1}{5}( \frac{40000}{20000} -1 ) \\\\r = \frac{1}{5}( 2 -1 ) \\\\r = \frac{1}{5}\\\\r = 0.2 \\\\\)

Converting r decimal to R a percentage

Rate R = 0.2 × 100%

Rate r = 20% per year

Therefore, the interest rate is 20% per year.

Learn more about simple interest here: brainly.com/question/25845758

#SPJ1

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

The derivative is a. y' = [7 * cos(7x) * tan(3x) - 3 * sin(7x) * sec²(3x)] / [tan²(3x)] and the derivative of second funtction is b. (ln(π) * \(\pi^(3x^2-7)\)) * (6x) + (9 - x²) / (x²+9)² - 32 / sqrt(1 - (32x+1)²).

a. y = sin(7x)/tan(3x)

To differentiate this function, we can use the quotient rule, which states that if we have a function in the form f(x) = g(x)/h(x), where g(x) and h(x) are differentiable functions, the derivative of f(x) is given by:

f'(x) = (g'(x) * h(x) - g(x) * h'(x)) / (h(x))²

In this case, g(x) = sin(7x) and h(x) = tan(3x). Let's differentiate both g(x) and h(x) first:

g'(x) = d/dx [sin(7x)] = 7 * cos(7x)

h'(x) = d/dx [tan(3x)] = 3 * sec²(3x)

Now we can substitute these derivatives into the quotient rule formula:

y' = [(7 * cos(7x) * tan(3x)) - (sin(7x) * 3 * sec²(3x))] / (tan(3x))²

Simplifying further, we get:

y' = [7 * cos(7x) * tan(3x) - 3 * sin(7x) * sec²3x)] / [tan²(3x)]

b. y = \(\pi^{(3x^2-7)\) + x/(x²+9) + cos⁻¹(32x+1)

To differentiate this function, we can use the sum and chain rules. Let's differentiate each term separately:

For the first term, y₁ = \(\pi^{(3x^2-7)\):

y₁' = d/dx [\(\pi^{(3x^2-7)\)]

Using the chain rule, the derivative is:

y₁' = (ln(π) * \(\pi^{(3x^2-7)\)) * (6x)

For the second term, y₂ = x/(x²+9):

y₂' = d/dx [x/(x²+9)]

Using the quotient rule, the derivative is:

y₂' = [(1 * (x²+9)) - (x * 2x)] / (x²+9)²

Simplifying further, we get:

y₂' = (9 - x²) / (x²+9)²

For the third term, y₃ = cos⁻¹(32x+1):

y₃' = d/dx [cos⁻¹(32x+1)]

Using the chain rule, the derivative is:

y₃' = -32 / sqrt(1 - (32x+1)²)

Now, we can add all the derivatives together to find the derivative of the function:

y' = y₁' + y₂' + y₃'

y' = (ln(π) * \(\pi^{(3x^2-7)\))) * (6x) + (9 - x²) / (x²+9)² - 32 / sqrt(1 - (32x+1)²)

The complete question is:
a. Differentiate the function: \(y=\frac{sin(7x)}{tan(3x)}\).

b. Differentiate the function: \(\pi^{(3x^2-7)\) + x/x²+9+cos⁻¹(32x+1)

To know more about derivative, refer here:
https://brainly.com/question/2159625#
#SPJ11

The equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400) is 2400.

To relate the flow of water from the 8-inch pipe to the flow of water from the 4-inch pipe, we can use the equation of continuity, which states that the product of the cross-sectional area of a pipe and the velocity of the fluid is constant.

Let's assume that the velocity of water flowing through the 8-inch pipe is V1 and the velocity of water flowing through the 4-inch pipe is V2. The cross-sectional area of the 8-inch pipe is A1 = π\((8/2)^2\) = 64π square inches, and the cross-sectional area of the 4-inch pipe is A2 = π\((4/2)^2\) = 4π square inches.

According to the equation of continuity, A1 * V1 = A2 * V2.

Substituting the given values, we have:

64π * V1 = 4π * V2

Simplifying, we get:

16V1 = V2

So, the equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400) is:

1600 * 16 = 2400

Learn more about cross-sectional area

https://brainly.com/question/30899946

#SPJ11

The total number of listings possible for the 14 teams in the local little league is 11,664. This is because there are 14 teams, so the number of possible listings is equal to 14! (14 factorial). 14! is equal to 1x2x3x4x5x6x7x8x9x10x11x12x13x14, which equals 11,664.

To further explain, 14! is the number of ways to arrange 14 items. This is because the first item can be arranged in 14 ways, the second item in 13 ways, the third in 12, and so on. This means that the total number of possible arrangements is 14x13x12x11x10x9x8x7x6x5x4x3x2x1, which equals 11,664.

Therefore, the total number of listings possible for the 14 teams in the local little league is 11,664.

To know more about  Permutations  refer here :

https://brainly.com/question/29855401

#SPJ11

Answer:

The inside of a saucepan has a cylindrical shape so the capacity of  a saucepan is: \(V=\pi .(\frac{20}{2})^{2}.13=4084(cm^{3})=4.084(l)\)

Step-by-step explanation:

Answer:

The answer is 8.50

Step-by-step explanation:

If you multiply 8.5 by 2 3/5 the aswer will be 22.1

⚠️I'm sorry if i'm wrong⚠️

The equation of the parabola formed by the plane that is parallel to a generating line of a double napped cone is y = (A/B)x^2 + (6/B)x + (9/B + K/B).

The equation of a double napped cone is given by:

\(Ax^2 + By^2 + Cz^2 + 2Dxy + 2Exz + 2Fyz + 2Gx + 2Hy + 2Jz + K = 0\)

Where A, B, C, D, E, F, G, H, J and K are constants.

A plane that is parallel to a generating line of a double napped cone will intersect the cone at a single point, forming a parabola. The equation of a parabola can be written as:

y = ax^2 + bx + c

Where a, b, and c are constants.

We can find a, b and c by substituting the equation of the plane into the equation of the double napped cone.

For example, if the equation of the plane is x + y – z = 3 then we can substitute this into the equation of the double napped cone and solve for the coefficients a, b and c.

Substituting x + y – z = 3 into the equation of the double napped cone:

\(Ax^2 + By^2 + Cz^2 + 2Dxy + 2Exz + 2Fyz + 2Gx + 2Hy + 2Jz + K = 0\)

We get:

\(Ax^2 + B(x + 3)^2 + C(-x - 3)^2 + K = 0\)

Expanding, we get:

\(Ax^2 + Bx^2 + 6Bx + 9B + Cx^2 - 6Cx - 9C + K = 0\)

Grouping terms and solving for a, b and c, we get:

a = A/B

b = 6/B

c = 9/B + K/B

Therefore, the equation of the parabola formed by the plane that is parallel to a generating line of a double napped cone is y = (A/B)x^2 + (6/B)x + (9/B + K/B).

Learn more about parabola here:

https://brainly.com/question/4074088

#SPJ4

Answer:

Answer: D- 37.45

Step-by-step explanation:

I got the answer right, but if you want the math: you find the z-score of 1.75 on the chart, multiply that by the standard deviation to get 9.45, and then add the mean of 28 to get 37.45 minutes

the time that represents the fastest 4% of runners is approximately 18.55 minutes. Therefore, the correct option is: A. 18.55 minutes.

To find the time that represents the fastest 4% of runners, we need to use the standard normal distribution (z-distribution) and the z-table.

Step 1: Find the z-score corresponding to the 4th percentile (since we want the fastest 4% of runners). To do this, we use the z-table and find the z-value that corresponds to an area of 0.04 (4% in decimal form).

Step 2: Once we have the z-score, we can use it to find the corresponding time by using the formula for standardizing a normal distribution:

z = (x - mean) / standard deviation

where "x" is the time we want to find, "mean" is the mean time (28 minutes), and "standard deviation" is the standard deviation of the times (5.4 minutes).

Step 1: Finding the z-score:

Using the z-table or a calculator, the z-score corresponding to the 4th percentile is approximately -1.75.

Step 2: Finding the time (x):

Now, we can use the z-score to find the time (x):

-1.75 = (x - 28) / 5.4

To find "x," we isolate it on one side of the equation:

x - 28 = -1.75 * 5.4

x - 28 = -9.45

x = -9.45 + 28

x = 18.55

So, the time that represents the fastest 4% of runners is approximately 18.55 minutes. Therefore, the correct option is: 18.55 minutes.

To know more about time:

https://brainly.com/question/34151773

#SPJ3

For the given scenario: the Probability of making both shots are A. 0.64 and B. 0.72

a) If a player makes 80% of his foul shots, the probability of making a single foul shot is 0.8. Since the two shots are considered independent events, the probability of making both shots is the product of the individual probabilities.

Therefore, the probability of making both shots is 0.8 * 0.8 = 0.64.

To calculate the probability of making exactly one shot, we need to consider two scenarios: making the first shot and missing the second, or missing the first shot and making the second. Each scenario has a probability of 0.8 * 0.2 = 0.16.

Therefore, the probability of making exactly one shot is 0.16 + 0.16 = 0.32.

Similarly, the probability of missing both shots is 0.2 * 0.2 = 0.04.

b) In this case, the outcome of the second shot depends on the outcome of the first shot. If the player makes the first shot (with a probability of 0.8), the probability of making the second shot is 0.9.

Therefore, the probability of making both shots is 0.8 * 0.9 = 0.72.

If the player misses the first shot (with a probability of 0.2), the probability of making the second shot is 0.7.

Therefore, the probability of making exactly one shot is 0.2 * 0.7 = 0.14.

Since there are only two possible outcomes (making both shots or making exactly one shot), the probability of neither shot being made is 1 - (0.72 + 0.14) = 0.14.

Therefore, for the given scenario:

a) Probability of making both shots: 0.64

  Probability of making exactly one shot: 0.32

  Probability of missing both shots: 0.04

b) Probability of making both shots: 0.72

  Probability of making exactly one shot: 0.14

  Probability of missing both shots: 0.14

To learn more about Probability from the given link

https://brainly.com/question/24756209

#SPJ4

Answer:

9. 5y

10. 6x^2 + 4x^2 + 4 * (-1) = 10x^2 - 4

11. 2a^5 + 4b + b = 2a^5 + 5b

12. 14- 12= 2

8m + 2 + 4n = 8m + 4n +2

Step-by-step explanation:

To find out how many dresses are in Isabella's wardrobe, you will need to use the ratio of skirts to dresses which is 8:7 and the number of skirts which is 32. Here's how you can solve the problem:

Step 1: Add the ratio of skirts to dresses together to get the total number of parts.8 + 7 = 15 This means that the total number of parts in Isabella's wardrobe is 15.

Step 2: Divide the number of skirts by the first part of the ratio

(8).32 ÷ 8 = 4

This means that for every 8 skirts, there are 7 dresses. Since there are 32 skirts, you can multiply the number of sets of 8 skirts by 7 to find out how many dresses there are.

4 × 7 = 28

Therefore, there are 28 dresses in Isabella's wardrobe. You can check your answer by verifying that the ratio of skirts to dresses is still 8:7 when you divide the total number of skirts and dresses by their greatest common factor, which is 4. 32 ÷ 4 = 8

and

28 ÷ 4 = 7, so the ratio is still 8:7.

For such more question on multiply

https://brainly.com/question/29793687

#SPJ8

The ratio of skirts to dresses in Isabella's wardrobe is 8:7. Given that there are 32 skirts, we know there are 4 'sets' of 8. Therefore, there should be 4 'sets' of 7 dresses, which totals to 28 dresses.

The question states that the ratio of skirts to dresses in Isabella's wardrobe is 8:7. That means for every 8 skirts, she has 7 dresses. Given that there are 32 skirts in her wardrobe, we need to figure out how many dresses there are. We can do this by understanding that 32 skirts is 8 in the ratio, or 4 'sets' of 8. Therefore, there should be 4 'sets' of 7 dresses. When you multiply 7 (the number of dresses in each 'set') by 4 (the number of 'sets'), we get 28 dresses in Isabella's wardrobe.

Learn more about Ratios here:

https://brainly.com/question/32531170

#SPJ11

Robert's rowing rate in still water is 8 miles per hour, and the speed of the current is 2 miles per hour.

Let's start by assuming that the rate of the current is c, and Robert's rowing rate in still water is r. As a result, the following equation can be used to determine the rate of travel downstream:24 = (r + c) × 3

This equation can be simplified by dividing both sides by 3 and then subtracting c from both sides, giving:8 - c = r

Then, to figure out Robert's speed upstream, we'll use the following equation:2r - 4c = 24

Multiplying the first equation by 2 and then subtracting it from the second equation yields:

2r - 4c

= 24 - 2r - 2c-4c

= -3r + 12-3r = -4c + 12

Dividing both sides by -3, we obtain

:r = (4c - 12)/3Substituting this into the first equation:

24 = (4c - 12)/3 + cMultiplying both sides by 3 and then simplifying:

72 = 4c - 12 + 3c7c

= 84c = 12Therefore, the rate of the current is 2 miles per hour, and Robert's rowing rate in still water is 8 miles per hour.

learn more about travel downstream

https://brainly.com/question/382952

#SPJ11