Write the equation of the line with the given point and slope.
(-5, -3); slope = -3/5

Answer:

12

Step-by-step explanation:

unless placed in an inconvinient way, this is really the one that makes sense.

Answer:

Marcy

Step-by-step explanation:

Answer:

138

Step-by-step explanation:

51+39+48 because its total

Answer:

144 Kilometers per Hour = 40 Meters per Second

Step-by-step explanation:

multiply the value in kilometers per hour by the conversion factor '0.27777777777778'.

So, 144 kilometers per hour = 144 × 0.27777777777778 = 40 meters per second.

please mark 4 brainliests.

Answer: 40 m/s

Step-by-step explanation: you can multiplied by 5/18 to convert km/h to m/s ,and you can multiplied by 18/5 to convert m/s to km/h.

Using the pattern, n can represent the the increase of dots according to step.

In the given question we have to find what values make sense for n in this situation.

n is representing the number.

As we can see that there is a pattern given.

In the step 1 have 1 dot, in step 2 have 3 dots, in step 3 have 6 dots and in step 4 have 10 dots.

So if we see the pattern then according to number of step the dots increasing accordingly.

As In step 1 have 1 dot, in step 2, 2 dots increase, in step 3, 3 dots increase and in step 4, 4 dots increase.

So, n can represent the the increase of dots according to step.

To learn more about pattern link is here

brainly.com/question/23136125

#SPJ1

Answer:

C

there are 10 spaces in between 2 and 3, so you just count up to it

Based on calculation done, there are 240 payments toward the loan and the total amount paid over the full term of the loan is approximately $140,880.

a. Using the given information, we can calculate the loan's present value using the formula for a present value of an annuity:

\(PV = PMT \times \frac{[(1 - (1 + r/n)^{(-n \times t)}]}{(r/n)}\)

where

PV is the present value,

PMT is the payment amount,

r is the annual interest rate,

n is the number of payments per year, and

t is the loan term in years.

Substituting the given values, we get:

\(PV = 587 \times \frac{[(1 - (1 + 0.05/12)^{(-12 \times 20)}]}{(0.05/12)}\)

PV ≈ $89,000 (rounded to the nearest dollar)

So, the present value of the loan is approximately $89,000.

b. The total number of payments required for the loan is equal to the total number of months in the loan term:

Number of payments = 12 × 20 = 240

The total amount paid over the full term of the loan is equal to the payment amount multiplied by the total number of payments:

Total amount paid = Payment amount × Number of payments

Total amount paid = 587 × 240

Total amount paid ≈ $140,880 (rounded to the nearest dollar)

Therefore, there are 240 payments toward the loan and the total amount paid over the full term of the loan is approximately $140,880.

To know more about present value for a loan, visit: https://brainly.com/question/15088278

#SPJ1

Answer:

5,6,7 because they are in line with the letter

Step-by-step explanation:

answer is one and half

The answer is 96.

/\___/\

(=θωθ=)

Answer:

11

Step-by-step explanation:

As per attached diagram:

Given

To find the value of BC, we need to find the value of x:

Then

The correct pairings are:

a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

b) Five times the difference of a number squared and six: 5(n² - 6)

c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

d) O twice the difference of nine and a number squared: 2(9 - n²)

The correct pairings of descriptions and expressions are as follows:

Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.

Five times the difference of a number squared and six: 5(n² - 6)

This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.

Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.

O twice the difference of nine and a number squared: 2(9 - n²)

This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.

For more questions on quotient

https://brainly.com/question/11418015

#SPJ8

Answer: (9, 10800)

Step-by-step explanation:

We will first let x be the number of years and y be the total cost.

In that case, let's plug in the values for each into the equation y=mx+b, where m is the slope and b is the y-intercept.

The y-intercept will be the value we start with before any years pass, so it will be the installation cost. The slope is how fast the total cost will increase. Since the operation costs have to be added on every year, it will be our slope.

With that in mind, let's create both of our equations:

Since y is solved for in the first equation, we can substitute it into the second equation:

\(900x + 2700 = 200x + 9000\)

\(700x + 2700 = 9000\) [Subtracting 200x from both sides]

\(700x = 6300\) [Subtracting 2700 from both sides]

\(x = 9\) [Dividing both sides by 700]

We can now substitute 9 for x in any equation and solve for y. Here I substituted it into the first one:

\(y = 900(9) + 2700\)

\(y = 8100 + 2700\) [Multiplying]

\(y = 10800\) [Adding]

Hence, the solution to this linear system is (9, 10800).

Answer: To calculate the amount of canvas needed for one tent, we need to calculate the total surface area of the tent. The tent consists of two parts: the cylindrical lower part and the conical upper part.

The surface area of the cylindrical part can be calculated as follows:

The base area of the cylinder = π × r² = π × 2.8² ≈ 24.61 m²

The lateral area of the cylinder = 2 × π × r × h = 2 × π × 2.8 × 3.5 ≈ 54.99 m²

So, the total surface area of the cylindrical part is the sum of the base area and lateral area, which is:

Total surface area of cylindrical part = 24.61 + 54.99 ≈ 79.60 m²

The surface area of the conical part can be calculated as follows:

The slant height of the cone = √(r² + h²) = √(2.8² + 2.1²) ≈ 3.44 m

The lateral area of the cone = π × r × slant height = π × 2.8 × 3.44 ≈ 24.12 m²

So, the total surface area of the conical part is the sum of the base area and lateral area, which is:

Total surface area of conical part = 24.61 + 24.12 ≈ 48.73 m²

Therefore, the total surface area of one tent is:

Total surface area of one tent = 79.60 + 48.73 ≈ 128.33 m²

To make 1500 tents, the total amount of canvas required is:

Total amount of canvas required = 1500 × 128.33 ≈ 192,495 m²

The cost of the canvas is given as Rs 120 per m². Therefore, the total cost of the canvas required to make the tents is:

Total cost of canvas = 192,495 × 120 ≈ Rs 23,099,400

As 50 schools have decided to share the expenditure equally, the amount shared by each school will be:

Amount shared by each school = Total cost of canvas / 50

Amount shared by each school = 23,099,400 / 50

Amount shared by each school ≈ Rs 461,988

Therefore, each school will have to contribute approximately Rs 461,988 to set up the tents.

Step-by-step explanation:

when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

When the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse remains the same as in the original triangle. In a right triangle, the side opposite ∠A is referred to as the "opposite" side, and the hypotenuse is the longest side.

The ratio of the side length of the side opposite ∠A to the length of the hypotenuse is commonly known as the sine of angle A (sin A). So, when the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse is equal to sin A.

In mathematical terms, when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

It's important to note that this ratio holds true for any right triangle, regardless of its size or dimensions, as long as the angle A remains the same.

For more questions on side

https://brainly.com/question/30452445

#SPJ8

The 85% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list is (0.28, 0.38).

Let's calculate the sample proportion;

Sample proportion = 93 / 283 = 0.33

The margin of error of the data can be calculated by;

Margin of error = Z * √(p(1-p) / n)

where:

Margin of error = 1.96 * sqrt(0.33 * (1-0.33) / 283) = 0.05

The confidence interval can be calculated as

Confidence interval = 0.33 ± 0.05 = (0.28, 0.38)

Learn more on confidence interval here;

https://brainly.com/question/17097944

#SPJ1

Answer: Remember the denominator of the fractional exponent will become the root of the radical, and the numerator will become the power. Create the power first and then the root. Create the root first and then the power.

Step-by-step explanation:

Answer:2022

Step-by-step explanation:

No tengo ni idea ...  :  0

The function f"(x) = 15x²+20 will have the given derivative and value.

A connection between independent variables and the dependent variable.is defined by the function. Functions help to represent graphs and equations.

A function is represented by the two variables one is dependent and another one is an independent function. The relation between them is shown as y if dependent and x is the independent variable;

You can find the answer with an educated guess-and-check process while thinking about the chain rule.

f'(x) = x(x²+4)5

f'(x) = (x³+4x)5

f'(x) = 5x³+20x

The derivative of the function f'(x) is  f''(x)

f''(x) = 15x²+20

Hence,the function that has the given derivative and value will be f''(x) = 15x²+20

To learn more about the function refer to the link https://brainly.com/question/12431044.

#SPJ1

In one of his experiments conducted with animals, Thorndike found that cats learned to escape from a puzzle box is increased gradually

To quantify the learning process, Thorndike used a mathematical formula known as the Law of Effect equation. The equation is:

B = f(log S1/S2)

where B represents the strength of the behavior, S1 represents the satisfaction of the positive consequence, and S2 represents the degree of frustration or negative consequence.

In the context of Thorndike's puzzle box experiment, the Law of Effect equation can be used to describe how the cat's behavior changed over time as it learned to escape the puzzle box more quickly and efficiently. Initially, the cat's behavior was weak because it did not know which actions would lead to a positive outcome.

To know more about puzzle box here

https://brainly.com/question/30470834

#SPJ4

Let X and Y be IID Unif(0, 1). the distance between X and Y.Expected value: 0 and Standard deviation: \($\sqrt{\frac{1}{3}}$\)

Expected value:

E(X-Y)

= E(X) - E(Y)

= 0 - 0

= 0

Standard deviation:

Var(X-Y) = Var(X) + Var(Y) = 1 + 1 = 2

SD(X-Y) = \($\sqrt{2}$\)

= \($\sqrt{\frac{1}{3}}$\)

The expected value of X-Y is the difference of the expected values of X and Y, which are both 0 since they are both IID Unif(0, 1). The variance of X-Y is the sum of the variances of X and Y, which are both 1. Since the standard deviation is the square root of the variance, the standard deviation of X-Y is the square root of 2.

Learn more about standard deviation here

https://brainly.com/question/13905583

#SPJ4

Both g(x) = 5 - x² and h(x) = \(5 - e^(6-^x^)\)have the same range as f(x) = -2√(x) - 3 + 8, which is (-∞, 5].

To determine which function has the same range as f(x) = -2√(x) - 3 + 8, we need to first find the range of f(x).

The square root function √(x) takes non-negative values as input and gives non-negative outputs, so the expression -2√(x) will always be non-positive. Therefore, the range of f(x) will be all real numbers less than or equal to -3 + 8, which is 5.

In other words, the range of f(x) is (-∞, 5].

So, we need to find a function whose range is also (-∞, 5]. One possible function is g(x) = 5 - x². We can see that when x is zero, g(x) is at its maximum value of 5, and as we increase or decrease x, g(x) will decrease, eventually approaching negative infinity.

Another possible function is h(x) = 5 - e^(-x). When x is negative infinity, e^(-x) is approaching positive infinity, so h(x) is approaching 0. As we increase x, e^(-x) is approaching zero, so h(x) is approaching 5.

For such more questions on range

https://brainly.com/question/30389189

#SPJ8

Answer: 87

Step-by-step explanation:

In order to simplify the given expression, identify like terms, bring them together using the commutative property and add their coefficients in order to combine them.

Remember that like terms are terms whose variables and their exponents are the same.

In the given expression:

The following terms are like terms:

3x² and 5x²

2x and -2x

-3 and 6

Then, change the order of the terms in the expression to bring like terms together:

Add the coefficients of like terms to combine them:

Since the coefficient of x is 0, we can discard the term 0x. Then, the expression is equal to:

Therefore, the final answer is:

Answer:

A = 4.5E2 * 3.2E6 * 3.65E2 = 4.5 * 3.2 * 3.65 * 10^10

A = 52.6 * 10^10 = 5.3 * 10^11 grams

Answer:

12

Step-by-step explanation:

No of tulips = 60

No of daffodils = 72

We need to find the greatest number of bouquets the florist can make if the florist will make bouquets with the same number of tulips and the same number of daffodils in each using all the flowers.

It would mean that we need to find the HCF of 60 and 72

Prime factorisation of 60 = 2×2×3×5

Prime factorization of 72 =  2 x 2 x 2 x 3 x 3

Highest common factor or HCF = 2×2×3 = 12

So, the florist can make 12 bouquets as maximum number.

Answer:

3y + 4

Step-by-step explanation:

3(y-1) +7

3y -3 +7

3y +4

The probability that a single randomly selected can contain 11.9 ounces or less is 0.179.

B. The probability that a randomly selected can contain 11.9 ounces or less can be calculated using the normal distribution. Specifically, we can use the Cumulative Distribution Function (CDF) to find the probability that a randomly selected can will contain 11.9 ounces or less.

We know that the mean of the cans is 12 ounces with a standard deviation of 0.4 ounces. We can use the Z-score to calculate the probability. The Z-score is equal to (11.9 - 12) / 0.4 = -0.25. We then use the Z-score to calculate the probability.

Specifically, we can use the CDF to calculate the probability that a randomly selected can will contain 11.9 ounces or less. The CDF for the normal distribution is given by

P(X ≤ x) = ½[1 + erf(x - μ/σ√2)].

When we plug in the Z-score of -0.25 into the equation, we get

P(X ≤ 11.9) = ½[1 + erf(-0.25)] = 0.179. Therefore, the probability that a single randomly selected can contain 11.9 ounces or less is 0.179.

For the quality control inspector, we can use the sample mean to calculate the probability that the cans will contain 11.9 ounces or less. Specifically, if the sample mean is 11.9 ounces or less, then the probability that the cans will contain 11.9 ounces or less is 1.

If the sample mean is greater than 11.9 ounces, then we can use the normal distribution to calculate the probability. Specifically, we can use the Z-score to calculate the probability. The Z-score is equal to (11.9 - sample mean) / 0.4. We then use the Z-score to calculate the probability using the CDF.

For more questions like Probability click the link below:

https://brainly.com/question/11234923

#SPJ4