Which of the following equations represent linear functions?
x+y=6
y= |x +3|
x² = y - 4
y + 14 = 3-X

The number that is not equal to the others is d.

a. 0.84% is equal to 0.0084 in decimal form.

b. (0.21)(0.04) is equal to 0.0084.

c. 8.4 * \(10^-^2\) is equal to 0.084. This is the same as 8.4 divided by 100, which is 0.084.

d. This is the number that is not equal to the others. We don't have the value of d.

e. 21/25 * \(10^-^2\) is equal to 0.0084. When we divide 21 by 25 and multiply the result by \(10^-^2\), we get 0.0084.

To summarize, all of the given numbers (a, b, c, and e) are equal to 0.0084 except for d, which doesn't have a specified value. Therefore, d is the number that is not equal to the others.

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Answer:

2x + y = 2

Step-by-step explanation:

y = -2x + b

-4 = -2(3) + b

-4 = -6 + b

2 = b

y = -2x + 2

2x + y = 2

Answer:

There the answer is simplified and I used Cymath it goes down step by step.

Step-by-step explanation:

I hope I helped! :)

Answer = (1.5, 0.25)

The range of the given numbers is 8, deviation from the mean are -3.5, -4.5, 2.5, 2.5, -4.5, 0, 2.5, 3.5, variance is 5.7 and the standard deviation is 2.39.

To find the range of the  numbers, we have to subtract the smallest number from the largest number.The smallest number is 17, and the largest number is 25. Range = 25 - 17 = 8To find the deviation from the mean, we must first calculate the mean of the given numbers.

Mean = (18+17+24+24+17+22+24+25)/8 = 21.5

The deviations from the mean are as follows: 18 - 21.5 = -3.517 - 21.5 = -4.524 - 21.5 = 2.524 - 21.5 = 2.517 - 21.5 = -4.522 - 21.5 = 0.524 - 21.5 = 2.525 - 21.5 = 3.5

The sum of the squared deviations from the mean is known as variance.

Variance = (-3.5)² + (-4.5)² + 2.5² + 2.5² + (-4.5)² + 0² + 2.5² + 3.5² / 8= 45.5 / 8 = 5.7

Finally, we can calculate the standard deviation by taking the square root of the variance. Standard deviation = √5.7 = 2.39

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Answer:

r = - 8

Step-by-step explanation:

calculate the slope m using the slope formula , then equate to 3

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 5, r ) and (x₂, y₂ ) = (2, 13 )

m = \(\frac{13-r}{2-(-5)}\) = \(\frac{13-r}{2+5}\) = \(\frac{13-r}{7}\)

then equating gives

\(\frac{13-r}{7}\) = 3 ( multiply both sides by 7 )

13 - r = 21 ( subtract 13 from both sides )

- r = 8 ( multiply both sides by - 1 )

r = - 8

Answer:

8

Step-by-step explanation:

1+2+3=6

4+5+6=15

15-6=9-1=8

Answer:

one thing that I learned about slope is the rise over run and y2-y1 over x2-x1

Step-by-step explanation:

Answer:

That if 2 coordinate points are given we can use the formula of; \(\frac{y_2 - y_1}{x_2 - x_1}\) to find the slope passing through those points

Hope this helps!

The maximum likelihood estimate for β is the sample mean.

To estimate the parameter β of a gamma distribution with a known shape parameter of 2 and a random sample of size

n, we can use the maximum likelihood method.

The likelihood function for this sample can be written as:

\(L(β) = (1/β^n) × (∏(i=1 to n) xi^(2-1)) × e^(-∑(i=1 to n) xi/β)\)

Taking the natural logarithm of the likelihood function, we get:

\(ln(L(β)) = -n × ln(β) + (2-1) × ∑(i=1 to n) ln(xi) - ∑(i=1 to n) xi/β\)

To find the maximum likelihood estimate for β, we differentiate ln(L(β)) with respect to β and set the result equal to zero:

\(d/dβ ln(L(β)) = -n/β + ∑(i=1 to n) xi/β^2 = 0\)

Solving for β, we get:

β = (∑(i=1 to n) xi)/n

Therefore, the maximum likelihood estimate for β is the sample mean.

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Answer:

Step-by-step explanation:

dad hates me sorry bye

Checking for approximate normality in the population is essential for constructing a valid confidence interval, particularly when dealing with small sample sizes. This ensures the accuracy and reliability of the interval in estimating the true population parameter.

It's important to check whether the population is approximately normal before constructing a confidence interval because the accuracy and validity of the interval depend on the underlying distribution of the population. Here's a step-by-step explanation:

1. A confidence interval is a range of values within which the true population parameter (e.g., mean or proportion) is likely to fall, with a certain level of confidence (e.g., 95% or 99%).

2. The process of constructing a confidence interval relies on the Central Limit Theorem, which states that, for large sample sizes, the sampling distribution of the sample mean will be approximately normal, regardless of the population distribution.

3. However, for small sample sizes, the distribution of the population needs to be approximately normal in order to obtain an accurate confidence interval. This is because the normality assumption is crucial for the proper interpretation of the interval.

4. If the population is not approximately normal, the confidence interval may not provide a reliable estimate of the true population parameter, leading to incorrect conclusions and potentially invalid results.

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Answer:

(x + 7)(x - 4) = x2 - 4x + 7x - 28 = x2 + 3x - 28

Answer:

x = 3/2    y=5

Step-by-step explanation:

4x + 3y = 21

4x + 2y = 16

Subtract the two equations

4x + 3y = 21

-4x - 2y = -16

-----------------------

     y = 5

Now find x

4x+3y = 21

4x +3(5) = 2a

4x+15 = 21

Subtract 15

4x = 6

Divide by 4

4x/4 = 6/4

x =3/2

True, a researcher wants to compare performance scores for men versus women on a motor skills task. it would not be possible to use a repeated measures design for this study.

What is a performance comparison?

They are frequently used while benchmarking, which is the practice of evaluating an organization's performance versus that of the best-performing businesses.

                 The measures are employed in productivity improvement projects to monitor changes in productivity over time.

Why is performance measurement important?

Comparing is one of the most important growth drivers. Only when we contrast our development with that of our rivals or our current performance with our former performance do we get motivated to advance and accomplish greater feats.

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Answer:

D

Step-by-step explanation:

Answer:

a=2b

b-a=x

ax=2b²

x=2b²/a

therefore, b-a=2b²/a

Answer:

-b

Step-by-step explanation:

b-a

=b-2b   [a=2b]

=-b

note: This is what I think the answer might be but it looks too easy to be correct so i might be wrong:(

The similar triangles in the question, with proportional sides indicates;

4. The proportion that must be true is the option G

G. 4/6 = 7/x

Similar triangles are triangles are triangles that have the same shape but may have different sizes.

The possible triangles in the question includes two triangles with specified side lengths AB = 6 inches, AC = 7 inches, DE = 4 inches, DF = x inches

The definition of similar triangles indicates that we get;

DE/AB = EF/BC

DF/AC = DE/AB

DF/AC = EF/BC

Therefore;

(x/7) = 4/6

The correct option which indicates the proportion that must be true, therefore is option G

G. 4/6 = x/7

Part of the question includes two triangles, please see attached diagram created with MS Excel

The possible proportions, from which to select the proportion that must be true are;

F (7/x) = (4/6)

G 4/6 = x/7

H 6/4 = x/7

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The equation of the tangent line to the curve y = 7 – 4x² at the point (3, –101) is y = -24x + 23, which is in the form y = mx + b, where m = -24.

The derivative of a function is essentially the slope of the curve at a particular point. We can find the derivative of h(x) by using the power rule of differentiation, which states that if f(x) = xⁿ, then f'(x) = nxⁿ⁻¹. Applying this rule to h(x) = 7 – 4x², we get h'(x) = -8x.

To find h'(3), we simply substitute x = 3 into the equation h'(x) = -8x, which gives us h'(3) = -24. This means that the slope of the tangent line to the curve y = 7 – 4x² at the point (3, –101) is -24.

Now, we need to use this slope along with the point (3, –101) to find the equation of the tangent line. The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. We already know that the slope of the tangent line is -24, so we just need to find the y-intercept.

To do this, we can use the point-slope form of a line, which states that if a line has slope m and passes through the point (x1, y1), then its equation is y – y1 = m(x – x1). Substituting the values we have, we get:

y – (-101) = -24(x – 3)

Simplifying this equation gives us:

y = -24x + 23

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The surface area of the ship is 1500000 cm²

Scaling is used to either increase or decrease the size of a figure so as to create an image.

Given a scale of 1:200, this means that it is a scaling down (decrease in size) of the ship to create a model.

The surface area of the model is 7500 cm², hence that of the ship is:

Surface area of ship * (1 : 200) = surface area of model

Surface area of ship = surface area of model * 200 = 7500 * 200 = 1500000 cm²

The surface area of the ship is 1500000 cm²

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Answer:

11

Step-by-step explanation:

11

since it asks the absolute value of -11 it

will be 11 because in absolute value-for negatives it always positive.

Answer:

see attached

Step-by-step explanation:

Answer:

5π/6 to the right

π/6 to the right

Answer:

270 miles

Step-by-step explanation:

If she drove 120 miles in 2 hours, that means she drives at 60 miles per hour. 4 hours and 30 minutes can be seen as 4.5, since 30 minutes is half an hour. So then you multiply 60 by 4.5 and get 270.

The recursive formula of h(n) is h(1) = 36 and h(n) = h(n -1) - 5

The function is given as:

h(n) = 41- 5n

Calculate h(1) and h(2)

h(1) = 41- 5(1)

h(1) = 36

h(2) = 41- 5(2)

h(2) = 31

Calculate the difference between h(1) and h(2)

d = 31 - 36

d = -5

This means that:

h(1) = 36 and h(n) = h(n -1) - 5

Hence, the recursive formula of h(n) is h(1) = 36 and h(n) = h(n -1) - 5

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Answer:

\(3^2 (negative) \times3^8=729\)

\(Answer = 3^6 \\(729)\)

Answer:

\(3^{6}\)

Step-by-step explanation:

=> \(3^{-2+8}\) => \(3^{6}\)

Answer:

y=x/5

Step-by-step explanation:

divide x by 5 to isolate y

Answer:

Step-by-step explanation:

The function would be:

The domain is x and the range is y

The bucket will be full after 3.5/0.25 = 14 minutes

The set of possible values of x is:

\(a_1\) is the first term of the sequence, which is \(\boxed{-4}.\)

\(r\) is the common ratio of the sequence, the number that you multiply one term by to generate the next term. Here, we see that multiplying by -2 will generate the next term, so \(\boxed{r=-2}.\)

We use the formula \(S_n=\frac{a_1(r^n-1)}{r-1}\) to find the sum of the first 6 terms - just plug in our values for \(a_1\) and \(r:\)

\(S_6=\frac{-4((-2)^6-1)}{-3}=\frac{-4(63)}{-3}=\boxed{84}.\)

Answer:Function 2

Step-by-step explanation:

Answer:

36, 60, 84

Step-by-step explanation:

3+5+7=15

180/15=12

12*3=36

12*5=60

12*7=84

Explanation:

From the properties of a parallelogramgiven in the image below, we will have that

From the parallelogram, we were given the opposite sides to be

Hence,

Since the property of a parallelogram states that opposite sides are equal, we will have that

Answer:

32%

Step-by-step explanation:

Percent means out of 100 so we need the denominator to be 100

8/25  * 4/4 = 32/100

The percent is the numerator since it is now out of 100

32%

Answer: 32%

Step-by-step explanation:

32%

The area of ΔABC is 87.905 centimeters². The correct answer is C.

The area of ΔABC can be calculated using the formula A = (1/2)bc sin A, where b and c are the lengths of two sides and A is the measure of the angle between them.

Given that b = 26 centimeters, c = 16 centimeters, and measure of angle A equals 25 degrees, we can plug these values into the formula and calculate the area:

A = (1/2)(26)(16) sin 25
A = (1/2)(416) sin 25
A = 208 sin 25
A = 87.905 centimeters²

Therefore, the area of ΔABC is 87.905 centimeters2. The correct answer is option C. 87. 905 centimeters².

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