what is the rate of change for y= -3x​

The distance after 79 minutes is 11 miles.

We know that the distance can be modeled with a linear equation like:

y = ax + b

Where a is the slope and b is the y-intercept.

We know that if the line passes through two points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

Here we know the points (39, 45) and (61, 26.3)

Then we can write:

a = (26.3 - 45)/(61 - 39) = -0.85

So we can write:

y = -0.85*x + b

To find the value of b we can replace the values of one of the points, i will use (39, 45) to get.

45 = -0.85*39 + b

45 + 0.85*39 = b

78.15 = b

So the line is:

y =  -0.85*x + 78.15

The distance after 79 minutes is.

y =  -0.85*79 + 78.15

y = 11

The distance left is 11 miles.

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The digits Kim accidentally spilled ink on could be any of the following digits; 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Division is a mathematical operations of separating something into different parts. The division sign is written as ÷ or /.

The two digits number divisible by 9 are;

18, 27, 36, 45, 54, 63, 72, 81, 90, 99

The above two digits numbers comprises of digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Therefore, it can be concluded that the digits Kim accidentally spilled ink on can be 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

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The total cost of all the ingredients required to make 4 batches of cookies is $19.04.

Given that a 2-liter bottle of milk costs $4 and contains 8 cups. Marine puts 2 cups of milk into her cookie recipe, along with 1 cup of sugar, 2 eggs, and flour in each batch of the cookie recipe that she makes. Marine makes 4 batches of cookie recipe.

We have to find the total cost of ingredients required to make 4 batches of cookies. Therefore, total milk required to make 4 batches of cookies = 2 × 4 × 4 = 32 cups

Total sugar required to make 4 batches of cookies = 1 × 4 = 4 cups

Total number of eggs required to make 4 batches of cookies = 2 × 4 = 8

Total flour required to make 4 batches of cookies = 4 × 4 = 16 cups

Now, to find the total cost of all the ingredients required to make 4 batches of cookies, we need to find the cost of each individual ingredient and then add them up.

Cost of milk required to make 32 cups = Cost of 1 cup of milk × 32 cups

= $4/8 cups × 32 cups

= $16

Cost of sugar required to make 4 cups = Cost of 1 cup of sugar × 4 cups

= $2

Cost of eggs required to make 8 eggs = Cost of 1 egg × 8 eggs = $0.4

Cost of flour required to make 16 cups = Cost of 1 cup of flour × 16 cups = $0.64

Total cost of all the ingredients = $16 + $2 + $0.4 + $0.64 = $19.04

Therefore, the total cost of all the ingredients required to make 4 batches of cookies is $19.04.

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The answer is C.

Step-by-step explanation:

I can't explain but I literally just did this question and I got it right

Answer:

Step-by-step explanation:

Sometimes  hope that helps you and hope you pass : >

Answer:

Always

Step-by-step explanation:

- Parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet.

- Parallel lines are congruent and so their measure will ALWAYS be the same

To analyze the investment decision between Machine A and Machine B, various financial metrics are calculated. The payback period, accounting rate of return, net present value, and internal rate of return are determined. Based on these calculations, the suitable machine is chosen, considering the payback period, cost of capital, and other factors.

The payback period of both machines is calculated by determining the time required to recover the initial investment. It is expressed in years, months, and days. The machine with the shorter payback period indicates a faster return on investment.
Using the payback period as the sole criterion for decision-making, the machine with the shorter payback period should be chosen. However, it's important to note that the payback period does not consider the time value of money or the profitability beyond the payback period.
The accounting rate of return on average investment for Machine A is calculated by dividing the average annual profit by the average investment cost, expressed to two decimal places. This metric provides an indication of the profitability of the investment.
The net present value (NPV) of each machine is calculated by discounting the expected cash flows using the company's cost of capital (12%). NPV represents the present value of the expected cash inflows and outflows associated with the investment. The machine with the higher NPV indicates a higher value addition to the company.
The internal rate of return (IRR) of Machine B is determined using interpolation. IRR is the discount rate that equates the present value of expected cash flows to the initial investment. It indicates the profitability and return on investment of Machine B.
Considering all these factors and the company's cost of capital, a comprehensive evaluation can be made to determine the most suitable machine for investment.

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The statement is true.

An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process.

Given that,

From a linearly independent collection of {x₁, x₂,..., xp}, the gram-Schmidt process creates an orthogonal set of {v₁, v₂,..., vp} with the feature that for each k, the vectors v₁...vk span the same subspace as that spanned by x₁...xk.

Whether the claim is true or false must be determined.

The statement is true.

An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process. An orthogonal set is further linearly independent. The orthogonal set produced by the Gram-Schmidt process and the original set will cover the same subspace if their dimensions are the same.

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Answer:

376 millimeters

Step-by-step explanation:

you move the decimal once to the left meaning 37.6 is 376 mm

There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

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There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

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The simplified form of the expression y⁻³/4y⁶ is option B: - 1/4y⁹

An algebraic expression consists of unknown variables, numbers and arithmetic operators such as addition, subtraction, multiplication, division etc. Therefore, let's simplify the expression.

The simplified form of the expression y⁻³/4y⁶ is:

To simplify this expression, you can use the rule of simplifying the powers of a variable.

It can be done by:

Therefore, The final step is to simplify the coefficient, 1/4 is a fraction, but to make it simpler we can divide 1 by 4, getting -1/4

Thus option B is correct.

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The simplified trigonometric expression is -cot²θ.

To simplify the trigonometric expression 1 - csc²θ, we can use the identity csc²θ = 1 + cot²θ.

So, substituting this identity into the expression, we get:
1 - (1 + cot²θ)

Simplifying further, we have:
1 - 1 - cot²θ

This simplifies to:
-cot²θ

Therefore, the simplified trigonometric expression is -cot²θ.

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Answer:

12

Step-by-step explanation:

One property of a parallelogram is that diagonals bisect each other. This means that it "divides" each other in to two equal parts.

Since FK is 6, that means that KH is also 6.

Then you have to add both of those because FK and KH both make up the diagonal FH, FH is 12.

Answer:

12

Step-by-step explanation: because your adding the whole line segment.

Answer:

i believe it is c

Step-by-step explanation:

Any three positive real numbers can be the side lengths of a right triangle" is true because of the Pythagorean theorem.

According to the Pythagorean theorem, in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse). Therefore, if we take any two positive real numbers a and b and compute the square root of their sum squared (a²+b²), we will get the length of the hypotenuse c. Hence, (a,b,c) can be the side lengths of a right triangle.

Additionally, any multiple of these lengths (ka,kb,kc) where k is a positive real number can also be the side lengths of a right triangle.

In summary, any set of three positive real numbers that satisfy the Pythagorean theorem can be the side lengths of a right triangle.

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Answer:

Graphing the heights of waves

measuring the heights of basketball players

Step-by-step explanation:

Data may be grouped into four main types based on methods for collection: observational, experimental, simulation, and derived. The type of research data you collect may affect the way you manage that data.

Answer:

I think the answer is 3/8

SOLUTION

From the question, we can see that the sides of the diagram are similar.

Taking ratio of the similar sides we have

Solving we have

Hence the answer is a = 3

Therefore, Assuming that approximately 20% of the lake's trout population was marked, we can estimate that the lake contains approximately 250 trout.

To find the probability L(N) that 16 trout are marked in a sample of 80, we need to use the hypergeometric distribution formula. The formula is P(X=k) = [C(M,k) * C(N-M,n-k)] / C(N,n), where M is the total number of trout in the lake, N is the number of trout in the sample (80), k is the number of marked trout in the sample (16), and n is the sample size (50). Plugging in the values, we get P(X=16) = [C(M,16) * C(M-50,34)] / C(M,80). We don't know the exact value of N, but we can estimate it using the fact that 16 out of 80 trout were marked, which means that approximately 20% of the lake's trout population was marked. Therefore, we can estimate that the lake contains approximately 250 trout (i.e., 50 / 0.2). Writing the main answer in 2 lines: The probability L(N) that 16 trout are marked in a sample of 80 can be estimated using the hypergeometric distribution formula.

Therefore, Assuming that approximately 20% of the lake's trout population was marked, we can estimate that the lake contains approximately 250 trout.

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Answer:   x= negative 24/13

Step-by-step explanation:

Answer:

y=12

Step-by-step explanation:

\(slope=\frac{y2-y1}{x2-x1} \\-4=\frac{8-y}{3-2} \\-4=8-y\\y=8+4=12\)

The main goal of data democratization is to make data accessible to all users. Option (a) is correct.

Given the primary goal of data democratization.

Data democratization is the ability to make information in a digital format accessible to the average end user. The goal of data democratization is to allow non-professionals to collect and analyze data without the need for outside help. This requires us to support access with an easy way for people to understand data, so they can use it to accelerate decision-making and uncover opportunities for a business. The goal is for everyone to be able to use the data at any time to make decisions without barriers of access or understanding.

Therefore, the main goal of data democratization is to make data accessible to all users.

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Answer:

It’s c

Step-by-step explanation:

I just got it right

5 feet is the greatest distance that a person could be from the lamp and be detected.

A circle is defined as round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center).

Since we have given that

The equation is :

\((x+15)^2+(y-12)^2=25\)

It is the equation of circle in which center is (h,k) i.e. ( 15,12)

The general equation of circle is given by

\((x-h)^2+(y-k)^2=r^2\)

Here, the radius 'r' is given by

\(r^2=25\)

\(r=\sqrt{25\)

\(r=5\)

Here, the greatest distance a person could be from the lamp and be detected is represented by radius i.e. r = 5 feet.

Hence, 5 feet is the greatest distance that a person could be from the lamp and be detected.

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We can say with 80% confidence that the next sample mean will fall within the interval of (2.44, 7.56).

To define a confidence interval for the next sample mean with 99.9% confidence, we can use the t-distribution since the population standard deviation is unknown.

The formula for the confidence interval is:

Confidence Interval = sample mean ± (t-value \(\times\) standard error)

First, we need to find the t-value for a 99.9% confidence level with 24 degrees of freedom (25 measurements - 1).

Using a t-table or statistical software, the t-value corresponding to a 99.9% confidence level is approximately 3.70.

Next, we calculate the standard error using the sample standard deviation and the square root of the sample size:

Standard Error = sample standard deviation / sqrt(sample size)

= 3.5 / \(\sqrt{(25)}\)

= 0.7

Now we can calculate the confidence interval:

Confidence Interval = 12 ± (3.70 \(\times\) 0.7)

= 12 ± 2.59

= (9.41, 14.59)

Therefore, we can say with 99.9% confidence that the next sample mean will fall within the interval of (9.41, 14.59).

To define a prediction interval for the next sample using an 80% confidence level, we can use the normal distribution since we know the population standard deviation exactly.

The formula for the prediction interval is:

Prediction Interval = sample mean ± (z-value \(\times\) standard deviation)

Since we have the population standard deviation (σ = 2), we can calculate the z-value for an 80% confidence level, which corresponds to a z-value of approximately 1.28.

Now we can calculate the prediction interval:

Prediction Interval = 5 ± (1.28 \(\times\) 2)

= 5 ± 2.56

= (2.44, 7.56)

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Answer:

x=6

Step-by-step explanation:

15-9=6

answer is 6

hope this helps

:)

Answer:

complementary

Step-by-step explanation:

A and b add to 90 degrees, which makes them complementary

Answer:

y = -2x + 12

Step-by-step explanation:

Slope-intercept form

\(y=mx+b\)

where:

Therefore, to find the slope-intercept form of the given linear equation, isolate y:

\(\implies 4x+2y=24\)

\(\implies 4x+2y-4x=-4x+24\)

\(\implies 2y=-4x+24\)

\(\implies \dfrac{2y}{2}=\dfrac{-4x}{2}+\dfrac{24}{2}\)

\(\implies y=-2x+12\)

Answer:

y = -2x + 12

Step-by-step explanation:

Given equation,

→ 4x + 2y = 24

The slope-intercept form is,

→ y = mx + b

Converting into slope-intercept form,

→ 4x + 2y = 24

→ 2y = -4x + 24

→ y = (-4x + 24)/2

→ [ y = -2x + 12 ]

Hence, the solution is y = -2x + 12.

Answer:

it´s no

Step-by-step explanation:

Answer:

no

Step-by-step explanation: