Which expression is equivalent to the expression shown below?

Answer:

Slope:  

3 /5

y-intercept:  

− 6

Step-by-step explanation:

Answer:

all of the answers are correct

Step-by-step explanation:

i took the test and got a hundred! it's a trick question

The statements included in the explanation on the horizontal line test are follows as a reference to the horizontal-line test, a statement that the function is one-to-one. and inverse is a function.

The horizontal line test is used to not only find out if a graph has an inverse function, but also if that inverse is also a function itself.

In order to pass the horizontal line test, the function has to be one-to-one which means that a horizontal line can intersect the graphed function at one point in all places.

If this happens, then there is an inverse and the inverse itself is a function.

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The complete question is

If the graph passes the horizontal-line test, then the function is one-to-one. Functions that are one-to-one have inverses that are also functions. Therefore, the inverse is a function. Compare your response to the sample response above.

Answer:

percent of students who have pet = 4/5 × 100%

= 4×20%

So, percent of students who have pet is 80%.

The two-column proofs that line segments AC ≅ EC are shown below

Given that

AB || DE

BC ≅ DC

The proof is as follows

Statement                                                Reason

AB || DE and BC ≅ DC                            Given

AB ≅ DE                                                   CPCTC

AC ≅ EC                                                   CPCTC (proved)

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Answer:

7 The answer is no. 3 because it is more than the others

Answer:  \(\frac{1}{5}g - 2\)

Explanation:

Multiply the outer term \(\frac{1}{5}\) by each term inside the parenthesis. This is an example of the distributive property. Note that \(\frac{1}{5}\) times 10 is equal to 2, because  \(\frac{1}{5}*10 = \frac{10}{5} = 2\).

Answer:

1/5g-2

Step-by-step explanation:

1/5(g-10)=1/5g-2

We have to distribute 1/5 (we multiply it by g and -10)

So, we get 1/5g-2.

I hope this helps!

\(*RosalindCordelia*\)

Answer:

The image is not shown, but this can be answered.

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

This says that, for any given two points, we can find a line that passes through both of them.

Then we have that two points are ALWAYS collinear.

Then does not matter which points the student chooses, because we can find a line that passes through them, then the probability that these randomly chosen points are collinear is 1 or 100% in percentage form.

Answer:

D) $3,264.00

Step-by-step explanation:

I = Prt

I = $1600 × 0.0325 × 32 = $1664

total = $1600 + $1664 = $3264

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Perimeter of the soccer field is 306 meters.

A shape's perimeter  is defined as the total length of its bounds. The perimeter of a shape is determined by summing all sides and side lengths that enclose the shape. It is measured in linear measurement units such as centimeters, meters, inches, and feet.

Given,

Length of the soccer field = 98 meters

Width of the soccer field = 55 meters wide

Perimeter of rectangle = 2(Length + Width)

Perimeter of soccer field = 2(98 + 55)

Perimeter of soccer field = 2(153)

Perimeter of soccer field = 306 meters

Hence, 306 meters is the perimeter of the soccer field.

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Answer:

9/40= 0.225 (experimental probability for white)

(b) because the spinner has 10 sections but there has only been 3 outcomes. If the spinner has 3 sections the changes of white would be 0.333.

2. Is correct, the more times you spin the closer you’ll get to the theoretical probability.

Step-by-step explanation:

Answer:

A part of a line with a start point but no end point (it goes to infinity) Try moving points "A" and "B": line

Step-by-step explanation:

its just straight forward

The critical value that should be used in constructing the confidence interval is 2.61.

To determine the 99% confidence interval for the true difference between testing averages for students using method 1 and method 2, we need to find the critical value.

This critical value is based on the desired confidence level and the degrees of freedom associated with the samples.

In this scenario, we are comparing two independent samples: one using method 1 and the other using method 2. The sample sizes for each method are 147 and 130, respectively.

Since we assume the standard deviations for both methods are known, we can use the z-distribution to find the critical value.

To find the critical value, we need to determine the degrees of freedom. For independent samples, the degrees of freedom are calculated using the formula:

df = (n1 - 1) + (n2 - 1)

where n1 and n2 are the sample sizes for methods 1 and 2, respectively. Substituting the given values, we have:

df = (147 - 1) + (130 - 1) = 275

Next, we look up the critical value associated with a 99% confidence level and 275 degrees of freedom in the standard normal distribution (z-distribution).

The critical value represents the number of standard deviations from the mean that corresponds to the desired confidence level. By convention, we use a two-tailed test since we are interested in the difference between means.

Using statistical tables or software, we find that the critical value for a 99% confidence level is approximately 2.61.

Therefore, the critical value that should be used in constructing the confidence interval is 2.61.

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Answer:

the formula is :

area = 1/2(b1 + b2) x h

in this case it's :

area = 1/2(3 + b2)x 4

You will need the length of the lower base to solve it.

Step-by-step explanation:

Answer:

5/6

Explanation

Probabaility is the likelihood or chance that an event will occur. Mathematically;

Probabiblity = Expected outcome/Total outcome

Since a pair of dice is rolled;

Total outcome for n dice = 6^n

For a pair of dice, total outcome is 6^2 = 36

For the expected outcome

If we got different numbers on both dice, the outcomes wil be 30 since the only periods we will have the same value are [(1, 1), (2,2), (3,3), (4,4), (5,5), (6,6)] which is 6 outcomes

getting different numbers on both dice = 36 - 6 = 30

Probability of getting different numbers on both dice = 30/36

Probability of getting different numbers on both dice = 5/6

Answer:

What does it mean but just Million dollar?

Step-by-step explanation:

From the given information provided,  the function f(x) is: \(f(x) = (\frac{1}{3})(ln(x))]^3 + 2 - [(\frac{1}{3})(ln(5))]^3\)

Finding a function's integral is a step in the mathematical process of integration. A new function called the integral of a function describes the region of the original function's curve that is under consideration.

Calculus, physics, and statistics are just a few of the mathematics, scientific, and engineering fields where integration is applied. It is used to resolve issues with computing the volume of a solid, determining the average value of a function over a specific range, and determining the area under a curve.

To find the function f(x), we need to integrate the derivative f'(x):

\(f(x) = \int \frac{ln(x)^2}{x} dx\)

Using u-substitution with u = ln(x), we have:

\(\frac{du}{dx} = \frac{1}{x}\)

⇒ \(dx = x du\)

Substituting this value into the integral, we get:

\(f(x) = \int u^2 du\)

\(= (\frac{1}{3})u^3 + C\)

\(= (\frac{1}{3})(ln(x))^3 + C\)

Where C is the constant of integration.

To find C, we use the fact that f(5) = 2:

\(f(5) = (\frac{1}{3})(ln(5))^3 + C = 2\)

Solving for C, we get:

\(C = 2 - (\frac{1}{3})(ln(5))^3\)

Putting the value of C in the integral, we get the required function

\(f(x) = (\frac{1}{3})(ln(x))]^3 + 2 - [(\frac{1}{3})(ln(5))]^3\)

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Given the equation:

-39 = 4w + 7(w-3)

Let's solve the equation for w.

To solve take the following steps.

• Step 1.

Apply distributive property

• Step 2.

Combine like terms

• Step 3.

Add 21 to both sides

Step 4.

Divide both sides by 11

ANSWER:

w = -1.63

Rectangular prism: Base area = 40 cm², Volume = 480 cm³, Surface area = 376 cm².

Cylinder: Base area = 28.26 cm², Volume = 423.9 cm³, Surface area = 339.84 cm².

Triangular pyramid: Base area = 30 cm², Volume = 80 cm³, Surface area = 75 cm².

In this problem, we are tasked with calculating the base area, volume, and surface area of various 3-D objects. The first step is to choose a measuring tool and units for our measurements. Let's assume we are using a ruler with centimeters as our unit of measurement.

Step 1: Base Calculations

Using the ruler, we measure the length and width of the base for each object with a polygonal base or the diameter/radius for objects with a circular base. Let's suppose we have three objects: a rectangular prism, a cylinder, and a triangular pyramid.

For the rectangular prism, let's say we measure the length to be 8 cm and the width to be 5 cm. The base area is calculated by multiplying the length and width: base area = 8 cm * 5 cm = 40 cm².

For the cylinder, let's assume we measure the diameter to be 6 cm. The radius is half the diameter, so the radius is 6 cm / 2 = 3 cm. The base area of a cylinder is given by the formula: base area = π * radius² = 3.14 * 3 cm * 3 cm = 28.26 cm².

For the triangular pyramid, we measure the base length to be 10 cm and the base width to be 6 cm. The base area is calculated by multiplying the base length and width and dividing by 2: base area = (10 cm * 6 cm) / 2 = 30 cm².

Step 2: Volume Calculations

To calculate the volume, we need the base area and the height of each object. Let's assume the heights of the objects are: rectangular prism = 12 cm, cylinder = 15 cm, triangular pyramid = 8 cm.

For the rectangular prism, the volume is given by multiplying the base area and the height: volume = base area * height = 40 cm² * 12 cm = 480 cm³.

For the cylinder, the volume is given by multiplying the base area and the height: volume = base area * height = 28.26 cm² * 15 cm = 423.9 cm³.

For the triangular pyramid, the volume is given by multiplying the base area and the height and dividing by 3: volume = (base area * height) / 3 = (30 cm² * 8 cm) / 3 = 80 cm³.

Step 3: Surface Area Calculations

Next, we need to calculate the surface area of the objects. Let's assume the rectangular prism has six rectangular faces, the cylinder has three surfaces (two circular bases and one curved surface), and the triangular pyramid has four triangular faces.

For the rectangular prism, the total surface area is given by adding the areas of all six faces: surface area = 2(length * width + length * height + width * height) = 2(8 cm * 5 cm + 8 cm * 12 cm + 5 cm * 12 cm) = 376 cm².

For the cylinder, the surface area is the sum of the areas of the two circular bases and the curved surface. The base area is already calculated as 28.26 cm², so the total surface area is: surface area = 2(base area) + (circumference of base) * height = 2(28.26 cm²) + (2 * 3.14 * 3 cm) * 15 cm = 339.84 cm².

For the triangular pyramid, the surface area is the sum of the areas of the four triangular faces. Since we have the base area as 30 cm², we need to calculate the areas of the other three triangular faces using the given dimensions and the Heron's formula. Let's assume we find the areas to be 12 cm², 15 cm², and 18 cm². The total surface area is: surface area = base area + sum of other three face areas = 30 cm² + (12 cm² + 15 cm² + 18 cm²) = 75 cm².

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Answer:

4g with the 2 on top  + 6g then you should get your answer!

Step-by-step explanation:

Good Luck!

All you have to do is add the 2 numbers that I gave you!

Answer:

I’m pretttttyyyy sure it’s 4g^2 + 6g

Step-by-step explanation:

Do u need an explanationnnnnn

Answer:

  3/2

Step-by-step explanation:

Finding the slope of a line on a graph is easier if you can identify places where the line crosses grid intersections. We see two of those to be ...

  (4, 1) and (6, 4)

The second of these points is 4-1 = 3 grid squares higher than the first point. It is also 6 -4 = 2 grid squares to the right. The slope is the ratio of these values:

  slope = "rise"/"run" = 3/2

The slope of the graphed line is 3/2.

Sample 1: Mean=10.01, Standard deviation=13.90 Sample 2: Mean

=11.43, Standard deviation

=14.10

Sample size of 1st year = n1

= 1012Mean of 1st year sample

= X1 = 10.01Standard deviation of 1st year sample

= s1

= 13.90Sample size of 2nd year

= n2

= 1012Mean of 2nd year sample

= X2

= 11.43

Standard deviation of 2nd year sample = s2

= 14.10 Let us assume a significance level of α = 0.05, which implies that the critical region consists of 2.5% in both tails (since it is a two-tailed test).

Therefore, we do not have sufficient evidence to conclude that the mean number of hours per week spent on the Internet differs between 2010 and another year.

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It's not necessarily certain that a function's inverse is a function! It is necessary for the original function to be a one-to-one function in order to ensure that its inverse will likewise be a function.

What does a function's inverse mean with an example?

The original value for which a function produced its output is returned by the inverse function. In terms of functions, f and g are inverse, using the formula f(g(x)) = g(f(x)) = x. The initial value can be retrieved using a function that is its inverse. As a result, g(y) = (y-5)/2 = x is the inverse of f. (x).

                                A function that reverses the effects of another function is said to have an inverse. If y=f(x), then x must always equal g, then a function g is the inverse of a function f. (y). Application of f followed by application of g is equivalent to doing nothing, in other words.

y = x² is a function

but inverse y = +/- √x   is not

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Answer:

Step-by-step explanation:

We can use the formula P(A and B) = P(A) * P(B|A) to find the probability of choosing a club and then, without replacement, a heart from a standard deck of 52 playing cards, where A represents the event of selecting a club card and B represents the event of selecting a heart card.

This formula is used to find the probability of two independent events A and B happening together, where P(B|A) represents the conditional probability of event B occurring given that event A has already occurred. Therefore, we have: P(A) = 13/52 (since there are 13 club cards in a standard deck of 52 playing cards)

P(B|A) = 12/51 (since there are 12 heart cards remaining out of 51 cards after one club card has been drawn without replacement from the deck)Now, we can substitute these values into the formula to get: P(A and B) = P(A) *

P(B|A)P(A and B) = (13/52) * (12/51)P

(A and B) = 0.05882Therefore, the probability of choosing a club and then, without replacement, a heart from a standard deck of 52 playing cards is 0.05882 or approximately 5.88%.Answer: The probability of choosing a club and then, without replacement, a heart from a standard deck of 52 playing cards is 0.05882 or approximately 5.88%.

We can use the formula P(A and B) = P(A) * P(B|A) to find the probability of choosing a club and then, without replacement, a heart from a standard deck of 52 playing cards, where A represents the event of selecting a club card and B represents the event of selecting a heart card. This formula is used to find the probability of two independent events A and B happening together, where P(B|A) represents the conditional probability of event B occurring given that event A has already occurred. Therefore, we have:According to the question,Two cards are drawn without replacement from a standard deck of 52 playing cards.A standard deck of playing cards contains 52 cards, divided into four suits of 13 cards each: clubs, diamonds, hearts, and spades.Therefore, the probability of choosing a club card from the deck on the first draw without replacement is 13/52 since there are 13 club cards in the deck. Then, there are 51 cards remaining in the deck after one card has been drawn, including 12 heart cards. Thus, the probability of choosing a heart card from the deck on the second draw without replacement, given that a club card has already been selected, is 12/51. We can now substitute these values into the formula to get:P(A and B) = P(A)

* P(B|A)P(A and B) = (13/52) * (12/51)P

(A and B) = 0.05882

Therefore, the probability of choosing a club and then, without replacement, a heart from a standard deck of 52 playing cards is 0.05882 or approximately 5.88%.

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It is discovered that there is a 0.3934, or 39.34%. likelihood that a customer waits fewer than 30 seconds using the exponential distribution.

The following equation describes an exponential probability distribution with mean m:

f(x) = μe∧(- μe)

The decay parameter is in the following:

μ = 1/m

When x is less than or equal to a, the probability is given by:

P(X ≤ x) = ∫ f(x) dx (limits 0 → a)\

which can be resolved as follows:

P(X ≤ x) = 1 - e∧(- μe)

Since 60 seconds is the mean in this problem, then decay parameter is:

μ = 1/60

The likelihood that a customer will wait under 39 seconds is:

P(X ≤ 30) = 1 - e∧(- 30/60)

P(X ≤ 30) = 0.3934

Thus, the probability that a consumer will wait less than 30 seconds is 0.3934, or 39.34%.

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Answer: In order to begin figuring that out, we need to know how both of their plans work.

The analysis which would be most appropriate for randomly assign people to one of three experimental conditions (Treatment A, Treatment B, Control) are-

A statistical test called an analysis of variance, or ANOVA, is used to compare the means of more than two groups.

A helpful framework for analysing how various variables affect various continuous variables is the general linear model (GLM).

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The complete question is -

Suppose you are performing an experiment where you randomly assign people to one of three experimental conditions (Treatment A, Treatment B, Control). Which analysis would be most appropriate?

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

Answer:

There is no solution.

Rewrite -2x + y = -6 so it starts with y =...

y = 2x - 6

Substitute that in 2/3x - 1/3y = -2 gives:

2/3x - 1/3*(2x -6) = -2

2/3x - 2/3x + 2 = -2

0 + 2 = -2

This statement is not true, and that means there is no solution.