Given the line y=3/5x+2 find the perpendicular line passing through the point (12,-7)

The equation the graph represent is

Sine waves or sinusoidal waves are the graphs of functions that are defined by the equation y = sin x.

The sine graph in the problem starts at (0, 0)

the amplitude is 1

The equation is y = sin (x + π)

The phase shift is π to the right

Learn more on sine graphs at:

https://brainly.com/question/30023715

#SPJ1

Answer:

40 square units

Step-by-step explanation:

Area of triangle = 1/2×b×h

= 1/2×10×8

= 40 square units

2.952

Step-by-step explanation:

First you must convert 3.6% into a decimal which is 0.036 (or move the decimal over twice).

Then multiply 82 by the given decimal

82 x 0.036= 2.952

(round if necessary)

The function f(x) = x² + 10x + 25 is continuous over the entire real number line and it does not have any intervals of discontinuity or any specific restrictions on its domain.

To determine the intervals over which the function f(x) = x² + 10x + 25 is continuous, we need to consider the properties of polynomial functions.

Polynomial functions are continuous for all real numbers.

This means that there are no points of discontinuity, jumps, or holes in their graphs.

The given function, f(x) = x² + 10x + 25, is a quadratic function.

Quadratic functions are a specific type of polynomial function, and they are continuous for all real numbers as well.

Since the function is a quadratic polynomial, it does not have any points of discontinuity or vertical asymptotes.

The graph of a quadratic function is always a smooth curve without any breaks.

Therefore, the function f(x) = x² + 10x + 25 is continuous for all real numbers.

To know more about discontinuity refer here:

https://brainly.com/question/28914808#

#SPJ11

Each angle on a square road sign measures 90 degrees.

A square is a quadrilateral with four equal sides and four right angles. In a square, all angles are congruent, meaning they have the same measure. Since a square has four angles, each angle is equal to the total sum of the interior angles of a square divided by four.
The total sum of the interior angles of a square can be calculated using the formula (n - 2) * 180 degrees, where n is the number of sides. For a square, n = 4, so the total sum of the interior angles is (4 - 2) * 180 = 2 * 180 = 360 degrees.
To find the measure of each angle, we divide the total sum of the interior angles by the number of angles, which is 4 in the case of a square:
360 degrees / 4 angles = 90 degrees.
Therefore, each angle on a square road sign measures 90 degrees.

Learn more about square here
https://brainly.com/question/14198272



#SPJ11

Answer:

$150

Step-by-step explanation:

Well we know that 10% is going to equal 1/10 of 100%.

So now just multipy 15% times 10 to get the original price.

The probability of choosing sausage and onion by Rosa's mom from the given 8 different toppings as per given condition is equal to

(1/ ⁸C₂).

As given in the question,

Total number of different toppings = 8

Number of different toppings choose by Rosa's mom randomly = 2

Possibility of choosing sausage and onion (any one) = 1

Total number of outcomes = ⁸C₂

Number of favorable outcomes = 1

Probability of choosing sausage and onion ( exactly ) one topping

= ( Number of favorable outcomes ) / ( Total number of outcomes )

= ( 1/⁸C₂ )

Therefore, the probability when Rosa's mom chooses sausage and onion out of 8 toppings is equal to ( 1/⁸C₂ ).

The above question is incomplete, the complete question is:

A pizza restaurant is offering a special price on pizzas with 2 toppings. They offer the toppings

below:

Pepperoni ,Sausage, Chicken ,  Green pepper , Mushroom ,Pineapple, Ham, Onion

Suppose that Rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 2 different toppings.

What is the probability that Rosa's mom chooses sausage and onion?

Learn more about probability here

brainly.com/question/11234923

#SPJ4

Answer:

1/8c^2

Step-by-step explanation:

Khan Acadmey

Step-by-step explanation:

the slope = (6-3)/(6-5) = 3/1 = 3

the Equation :

y-3 = 3(x-5)

y-3 = 3x-15

y = 3x-15+3

y = 3x -12

The snail will take approximately 0.43 hours or 25.8 minutes to travel 12 feet at the speed of 8.5 meters per hour.

Given, A snail moves at a speed of 8.5 meters per hour, 1m = 3.28ft. Let's convert meters per hour into feet per hour by multiplying it with 3.28ft/m. So, 8.5 meters per hour = 8.5 × 3.28 feet per hour ≈ 27.88 feet per hour.

Now, to calculate the time taken by a snail to travel 12 feet, we can use the formula: Time = Distance ÷ Speed

Time taken = 12 feet ÷ 27.88 feet per hour ≈ 0.43 hours (rounded to two decimal places)

Now, let's convert 0.43 hours to minutes by multiplying it with 60 minutes per hour: 0.43 hours × 60 minutes per hour ≈ 25.8 minutes (rounded to one decimal place). Therefore, it will take approximately 0.43 hours or 25.8 minutes for the snail to travel 12 feet at the speed of 8.5 meters per hour.

To know more about speed refer here:

https://brainly.com/question/31052185#

#SPJ11

Answer:

Can you do multiply choice

Step-by-step explanation:

We can calculate its product by taking the dot product of each row of B1A and each column of A1B. In this way, we can calculate B1A without knowing the values of A and B.

The matrix product of two matrices, A and B, is defined as the matrix C, where C = AB. To calculate the product of two matrices, we must take the dot product of each row of A and each column of B. If we are given a matrix product A1B, then we can calculate B1A without necessarily knowing what A and B are.

To do so, we must first invert the matrix A1B. We can do this by solving a system of equations. We can set up this system of equations by treating the entries of A1B as the coefficients in a system of equations, and solving for the entries of B1A. Once we have found the inverse, we can calculate the matrix B1A.

Finally, once we have the matrix B1A, we can calculate its product by taking the dot product of each row of B1A and each column of A1B. In this way, we can calculate B1A without knowing the values of A and B.

See more about matrix at: https://brainly.com/question/14414517

#SPJ11

Answer:

\(\displaystyle 45 = x\)

Step-by-step explanation:

Use the Pythagorean Theorem to define the hypotenuse:

\(\displaystyle a^2 + b^2 = c^2 \\ \\ 36^2 + 27^2 = x^2 \hookrightarrow 1296 + 729 = x^2 \hookrightarrow \sqrt{2025} = \sqrt{x^2} \\ \\ \boxed{45 = x}\)

I am joyous to assist you at any time.

Answer:

330

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To learn more about probability click here:

brainly.com/question/31828911

#SPJ11

The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To learn more about probability click here:

brainly.com/question/31828911

#SPJ11

Answer:

x=1/3

Step-by-step explanation:

Factor out 5^3x

5^3x(1-1/5)=4

Combine the fractions

5^3x(4/5)=4

Multiply both sides by 5/4

5^3x=5

Now we have the same base of 5 so we can set the exponents equal to one another (the exponent of 5 is 1)

3x=1

X=1/3

Answer:

n = 10

Step-by-step explanation:

(10 * 3) + 7 = 37

Answer: 6

Step-by-step explanation:

With these type of problems, it is best to work backwards.

1. Because of the seven more, you subtract 7 from 25. This gives you 18.

2. Then it says three times, this means to divide by 3. 18/3 is 6

3. Your final answer is 6

Proving the answer is 6:

1.   3 \(*\\\) 6 = 18

2. 18 + 7 = 25

We can say that {(und)"} 3" diverges because it is a geometric sequence with a common ratio of 3, which is greater than 1.

To determine whether the sequence {(und)"} 3" converges or diverges, we need to look at the behavior of the terms as n gets larger.

We can start by writing out the first few terms of the sequence:

{(und)"} 3" = 3, 9, 27, 81, ...

We can see that each term is simply the previous term multiplied by 3. This means that the sequence is a geometric sequence with a common ratio of 3.

In general, a geometric sequence with a common ratio r will converge if |r| < 1 and diverge if |r| ≥ 1.

In the case of {(und)"} 3", the common ratio is 3, which is greater than 1. Therefore, the sequence diverges.

To summarize, we can say that {(und)"} 3" diverges because it is a geometric sequence with a common ratio of 3, which is greater than 1.

Learn more about diverges  here:

https://brainly.com/question/30889536

#SPJ11

9514 1404 393

Answer:

  x = -6.25

Step-by-step explanation:

Eliminate parentheses using the distributive property.

  -7 -4x = 18

Add 7 to get the x-term by itself.

  -4x = 25

Divide by the coefficient of x.

  x = 25/-4

  x = -6.25

Answer:

P = 4s

Step-by-step explanation:

All the numbers in column P are equal to 4 times the numbers in column s

Answer:

maybe -4/f if your just evaluating

Step-by-step explanation:

Answer:

It's 9

Step-by-step explanation:

I just got it right.

Answer:

Step-by-step explanation:

Answer/Step-by-step explanation:

A. The quadrilateral cam be named using the letters of the vertices. Thus, it is named as: quadrilateral LMNP

B. 82° + (3x - 1)° = 180° (adjacent angles are supplementary)

Solve for x

82 + 3x - 1 = 180

Add like terms

81 + 3x = 180

Subtract 81 from both sides

3x = 180 - 81

3x = 99

x = 99/3

x = 33

C. Opposite angles in a quadrilateral are equal. Therefore,

m<L = (3x - 1)°

Plug in the value of x

m<L = 3(33) - 1

m<L = 99 - 1

m<L = 98°

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

\( \boxed{ \boxed{3 \leqslant n < 7}}\)

The equivalent expression is ~

\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)

Let's solve ~

Now divide each term with 4

\( \sf \: 12 ≤ 4n < 28\)

\(\sf \longmapsto \frac{12}{4}≤ \frac{4n}{4} < \frac{28}{4} \)

\( \sf \longmapsto3≤n<7\)

Result:

\(\boxed{ \sf 3 \leqslant n<7}\)

The probability that the two selected chips are of different colors is 15/32

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

Blue = 5

Yellow = 3

This means that

Total = 5 + 3

Total = 8

The probability of different color is then calculated as

P(Different) = Yellow and Blue or Blue and Yellow

So, we have

P = 3/8 * 5/8 * 2

Evaluate

P = 30/64

Simplify

P = 15/32

Hence, the probability is 15/32

Read more about probability at

https://brainly.com/question/251701

#SPJ1

Answer:

ssa

Step-by-step explanation: