Determine the equation of the line that passes through the point(-7, -1/3)and is perpendicular to the line y = - 3x – 2.Enter your answer in slope-intercept form

Answer: SEE ANSWERS BELOW

Step-by-step explanation: 3 Lemons for every 5 cups of water. 3:5

                                              9 Lemons for every 15 cups of water. 9:15

                                               18 Lemons for every 30 cups of water. 18:30

In order to find these you must find the constant of proportionality. In order to find the constant of proportionality, you have to take 15÷9=1.66667. You have to convert 1.66667 to 5/3 or 1 2/3 (whichever you'd prefer). Now, you want to find how many lemons you need for every 5 cups of water. So you need to take 5÷5/3 OR 5÷ 1 2/3= 3. Now you know there is 3 lemons for every 5 cups of water. Now, if you have 18 lemons, you need to figure out how many cups of water you'll need. The number of the cups of water is always greater than the lemons so you'll need to multiply. 18x5/3 OR 1 2/3= 30. I hope this helps. I'm not the best at explaining things via text. Good luck!

The variance of 8X - 48 is approximately 127.28.  

What is the variance?

Variance provides a numerical value that indicates how far each data point in a dataset is from the mean (average) of the dataset. In other words, variance measures the average squared deviation of each data point from the mean.

Variance is denoted by the symbol σ^2 (sigma squared) for a population variance and s^2 for a sample variance.

The formula for variance of a population is:

\(\sigma^{2} =\frac{1}{N} \sum(x_{i}-\mu)^{2}\))

where N is the number of data points, \(x_{i}\)​ represents each individual data point, and μ is the population mean.

To determine the variance of the random quantity 8X - 48, where X is the number of male kittens in the litter, we need to use the properties of the binomial distribution.

Given that X follows a binomial distribution with parameters n = 8 (total number of kittens) and p = 0.47 (probability of a male kitten), we can calculate the variance of X using the formula for the binomial variance:

Var(X) = n * p * (1 - p)

Substituting the values, we have:

Var(X) = 8 * 0.47 * (1 - 0.47)

= 8 * 0.47 * 0.53

= 1.9888

Now, to find the variance of 8X - 48, we multiply the variance of X by the constant factor squared:

\(Var(8X - 48) = 8^2 * Var(X)\)

= 64 * 1.9888

= 127.2832

Rounding to two decimal places, the variance of 8X - 48 is approximately 127.28.

Therefore, the variance of 8X - 48 is approximately 127.28.  

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What would you like to know? The total surface area? The lateral surface area? The volume, perhaps? The radius?

Answer:

Cone volume 8,377.580410 cm^3

Step-by-step explanation:

Answer:

The solution of the system of the equations is (2, 1) ⇒ B

Step-by-step explanation:

Let us solve the system of equations

∵ 3x + 2y = 8 ⇒ (1)

∵ 5x + 2y = 12 ⇒ (2)

→ Subtract equation (1) from equation (2)

∴ (5x - 3x) + (2y - 2y) = (12 - 8)

∴ 2x + 0 = 4

∴ 2x = 4

→ Divide both sides by 2

∴ x = 2

→ Substitute the value of x in equation (1) or (2) to find y

∵ 3(2) + 2y = 8

∴ 6 + 2y = 8

→ Subtract 6 from both sides

∵ 6 - 6 + 2y = 8 - 6

∴ 2y = 2

→ Divide both sides by 2 to find y

∴ y = 1

∴ The solution of the system of the equations is (2, 1)

The Empirical Rule and Chebychev's Theorem are both used to estimate the proportions of data contained within a certain number of standard deviations from the mean (A).

However, there are also some differences between the two.
One similarity between the Empirical Rule and Chebychev's Theorem is that they both estimate proportions of the data contained within k standard deviations of the mean. This means that both methods are useful for determining how much of the data is within a certain range of values from the mean.
On the other hand, Chebychev's Theorem is more general than the Empirical Rule and can be used with any distribution. It does not require the data to have a specific shape or be bell-shaped, unlike the Empirical Rule.
In addition, while both methods use the mean and standard deviation of a sample, Chebychev's Theorem does not calculate the variance of a sample.
Overall, the Empirical Rule and Chebychev's Theorem both provide useful estimates of the proportion of data within a certain range from the mean, but they differ in their assumptions about the distribution of the data and the specific calculations used.

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Answer:

The answer is D

The absence of sheep or rabbits will result in stable equilibrium populations for the respective species. However, when they interact, the population dynamics become more complex

The given system of equations models the population dynamics of rabbits (x) and sheep (y) over time (t). Let's interpret the equations by considering the following questions:

a) In the absence of sheep (when y = 0), the first equation becomes:

dx/dt = 21 - 2x

This equation represents the population growth of rabbits in isolation. The term 21 represents the natural growth rate of rabbits, and the term -2x represents the negative effect of overcrowding. As the rabbit population (x) increases, the negative effect of overcrowding becomes more significant, resulting in a decrease in the growth rate. Therefore, in the absence of sheep, the rabbit population will eventually reach a point where the growth rate becomes zero (dx/dt = 0), indicating a stable equilibrium population size.

b)Similarly, in the absence of rabbits (when x = 0), the second equation becomes:

dy/dt = (3/4)y - (1/2)gy

This equation represents the population growth of sheep in isolation. The term (3/4)y represents the natural growth rate of sheep, and the term (1/2)gy represents the negative effect of predation by rabbits (assuming g represents the predation rate). As the sheep population (y) increases, the predation effect becomes more significant, resulting in a decrease in the growth rate. Therefore, in the absence of rabbits, the sheep population will eventually reach a stable equilibrium population size determined by the natural growth rate and the predation rate.

c) When both rabbit and sheep populations are present and interact, the equations represent their mutual influence on each other's growth. The negative term -гy in the first equation indicates that the presence of sheep has a negative impact on the rabbit population growth. Similarly, the negative term -(1/2)gy in the second equation represents the negative effect of predation by rabbits on the sheep population growth.

The interaction between the two species can lead to various scenarios. If the predation effect (g) is too strong, it can significantly reduce the rabbit population, leading to a decrease in the predation pressure on sheep and allowing their population to grow. However, as the sheep population increases, the predation effect becomes stronger, which can result in a decline in the sheep population as well.

The population dynamics of rabbits and sheep under their mutual interaction will depend on the initial population sizes, the natural growth rates, and the strength of the predation effect. It may exhibit oscillations, stable equilibria, or even complex dynamics depending on the specific values of the parameters.

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Fallis has 2000 square centimeters (cm²) tiles, she does not have enough tiles to cover the entire counter.

To find out if Ms. Fallis has enough tiles to cover the counter, we need to calculate how many tiles are required to cover an area of 2 square meters.

Since the tiles have a side length of 3 centimeters, we need to convert the area of the counter to square centimeters.

1 square meter = 10000 square centimeters (cm²)

So, 2 square meters = 20000 square centimeters (cm²)

Now, we need to calculate the area of each tile:

Side length of each tile = 3 centimeters (cm)

Area of each tile = \((side length)^2\) = \((3 cm)^2\) = 9 square centimeters (cm²)

To cover the counter, we need to divide the total area of the counter by the area of each tile:

Number of tiles required = (Total area of counter) / (Area of each tile)

= 20000 cm² / 9 cm²

= 2222.22

Since we cannot have a fraction of a tile, we need to round up to the nearest whole number of tiles. So, Ms. Fallis needs at least 2223 tiles to cover the counter.

Since she has 2000 square centimeters (cm²) tiles, she does not have enough tiles to cover the entire counter.

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Answer:

It is always a strait line going up.

Step-by-step explanation:

Answer:

vertical angels

angles opposite each other where two lines cross.

plz mark brainliest

Step-by-step explanation:

Answer:

y=1

Step-by-step explanation:

Replace each of the values of x from the table into the given equation to find the corresponding values of y.

The rule for y in terms of x is:

For x=-5:

For x=-1:

For x=0:

For x=1:

For x=1/6:

Therefore, the table with the corresponding values of y must be:

x y

-5 -33

-1 -9

0 -3

1 3

1/6 -2

To deduce if two line segments are parallel, we need to examine their corresponding angles. Therefore,  "none." is correct.

According to the information given, we have a missing value represented by m7. To find if any line segments are parallel, we can use the following rules:

1. If two lines are intersected by a transversal, and corresponding angles are congruent, then the lines are parallel.

2. If two lines are intersected by a transversal, and alternate interior angles are congruent, then the lines are parallel.

3. If two lines are intersected by a transversal, and alternate exterior angles are congruent, then the lines are parallel.

Let's consider each statement one by one:

Statement 1: m7 = 90 degrees. This statement represents a right angle. However, knowing that one angle is right does not provide enough information to deduce the lines' parallelism.

Statement 2: m7 = 135 degrees. This statement represents an angle greater than 90 degrees. Similarly, having this information alone is insufficient to deduce the lines' parallelism.

Statement 3: m7 = 45 degrees. This statement represents an angle less than 90 degrees. Again, having this information alone is not enough to deduce the lines' parallelism.

Given the information provided, we cannot deduce the parallelism of any line segments. Therefore,  "none." is correct.

In summary, without additional information about the relationships between angles formed by the line segments, we cannot determine whether the line segments are parallel or not.

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Answer:

1200 ft

Step-by-step explanation:

Four special two digit numbers exist: 1, 2, 145, and 40585.

A special two-digit number is one in which the original two-digit number is equal to the sum of the number's digits plus the product of its digits. Take the number's initial and last digits out, then add and multiply each digit independently. After that, multiply the two-digit number by the sum and product of its digits and then compare the result to the original value. If they match, it qualifies as a special two-digit number; otherwise, it does not.

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Answer:

x = 10.7775

Step-by-step explanation:

We can see that we need to use sin∅ to help solve for x:

sin56° = x/13

13sin56° = x

x = 10.7775

Answer:

10.77

Step-by-step explanation:

Pretty easy stuff, basically you use the sin ratio to solve this.

so it would be sin(56) = x/13

then you multiply 13 to sin(56)

and get 10.77.

Hope this helped :)

Answer:

Add the lengths:

5x - 16 + 2x - 4 = 7x - 20

To find E(X | Y = y), we need to use the formula for conditional expectation:

E(X | Y = y) = ∑x P(X = x | Y = y) * x

Since each girl sells an average of 30 boxes of cookies, the total number of boxes sold in the troop is Y * 30. We can assume that the number of boxes sold by each girl follows a Poisson distribution with parameter λ = 30. So, the probability of selling x boxes is given by:

P(X = x | Y = y) = e^(-λ) * λ^x / x!

Substituting λ = 30 and simplifying, we get:

P(X = x | Y = y) = e^(-30) * 30^x / x!

Now, we can plug this into the formula for conditional expectation:

E(X | Y = y) = ∑x P(X = x | Y = y) * x

= ∑x e^(-30) * 30^x / x! * x

= e^(-30) * 30 * ∑x (30^(x-1) / (x-1)!)

= e^(-30) * 30 * E(Y)

where E(Y) is the expected number of girls in the troop, which is equal to y. Therefore,

E(X | Y = y) = e^(-30) * 30 * y

This means that if there are y girls in the troop, we can expect to sell an average of 30y boxes of cookies.

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Answer:

8.4

Step-by-step explanation:

7 x .2 is the increase 1.4

Add 1.4 to 7 to get 8.4

On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.

The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.

In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Total amount of tea Ray has - 2.671L

Amount of tea Ray poured - 0.47

Therefore,

amount he was left with was  = 2.671- 0.47 = 2.201L

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Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

Answer:

1.$175

2.$128

3.$55

Step-by-step explanation:

1.

40×.25=35

140+35=175

2.

80×.6=48

80+48=128

3.

50×.1=5

50+5=55

Answer:

1 87.5

2 49.7

3 0.79

4 700

5 4.8825

6 24

7 10

explanation:

sana makatulong

Answer:

72

Step-by-step explanation:

because if you add 18, 4 times or 18 x 4 it will give your 72

hope this helps

Recall that sine is the ratio of opposite over hypotenuse, so we say

sin(theta) = opposite/hypotenuse

If we have a triangle labeled as such in the diagram below, then we can use symbols to write sin(theta) = A/C

Similarly, cos(theta) = B/C since cosine is the ratio of adjacent over hypotenuse.

Then from here we use a bit of algebra to compute the left hand side of the given equation. The goal is to see if we can simplify it to 1.

\(\sin^2\left(\theta\right)+\cos^2\left(\theta\right)\\\\\left(\sin\left(\theta\right)\right)^2+\left(\cos\left(\theta\right)\right)^2\\\\\left(\frac{A}{C}\right)^2+\left(\frac{B}{C}\right)^2\\\\\frac{A^2}{C^2}+\frac{B^2}{C^2}\\\\\frac{A^2+B^2}{C^2}\\\\\frac{C^2}{C^2}\\\\1\)

So this shows that the left hand side is identically the same as the right hand side (both sides are 1), and it doesn't matter what you replace theta with. Theta can be any real number and the equation will always be true.

Note: if you're wondering how A^2+B^2 became C^2, it's because of the pythagorean theorem. So that's why this trig identity is often referred to as the pythagorean trig identity.

The average rate of change per hour in the temperature is 0.83 degrees.

To find the average rate of change per hour, we need to divide the total change in temperature by the number of hours over which the temperature changed.

The temperature rose by 5 degrees from 6:00 am to 12:00 pm, which is a period of 6 hours.

Therefore, the average rate of change per hour can be calculated as follows:

average rate of change per hour = total change in temperature / number of hours

So, we have

average rate of change per hour = 5 degrees / 6 hours

average rate of change per hour = 0.83 degrees/hour (rounded to two decimal places)

So, the average rate of change per hour is 0.83 degrees.

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Answer:

800

Step-by-step explanation:

(subtract is where you take something away from something else)

A. Squared (multiplication)

B. Product (multiplication)

C. Minus (subtraction)

D. Quotient (division)

E. Difference (subtraction)

Your answers are

C. Minus and E. Difference

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

point 1 (0 , 0 ) x1 = 0 y1 = 0

point 2 (2 , -3) x2 = 2 y2 = -3

equation of the line = ?

Step 02:

Slope formula

Slope-intercept form of the line

y = mx + b

b = y-intercept = 0

m = - 3/2

y = -3/2 x + 0

y = -3/2 x

The answer is:

y = -3/2 x

Ratio of rise to run between the points (-2, 8) and (4, -3) = -11/6

To find the ratio of rise to run between two points, we need to calculate the difference in the y-coordinates (rise) and the difference in the x-coordinates (run) between the two points.

Given points:

Point 1: (-2, 8)

Point 2: (4, -3)

Rise = difference in y-coordinates = y2 - y1 = -3 - 8 = -11

Run = difference in x-coordinates = x2 - x1 = 4 - (-2) = 6

Therefore, the ratio of rise to run can be calculated as:

Ratio of rise to run = Rise / Run = -11 / 6

Thus, the ratio of rise to run between the points (-2, 8) and (4, -3) is -11/6.

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Answer:

144

Step-by-step explanation: