Which statement is true? Select all that apply.

A. The relationship is proportional.
B. The slope is –6.
C. The slope is negative.
D. The y-intercept is –3.
E. The equation of the line is y = –3x.

Answer:

See below

Step-by-step explanation:

Not sure what you are asking....do you want to know what y is when x = -2   and the equation = 6 ?

3 xy^2 + 4x = 6         or is that    3 xy^(-2) + 4x = 6

Could use some serious editing of your question if you are able ....

Answer:

\( the \: fee \: for \: one \: class \: in \: dollars \: is\to = \underline{ \boxed{ \$65}} \\ \)

Step-by-step explanation:

\(if \: \boxed{ y=40x+25 }\\ if \: \boxed{y} \: is \: the \: total \: cost \ \: : then \: when \: \boxed{ x = 1} \\ y=40(1)+25 \\ y=40+25 \\ \underline{ \boxed{ y = 65}}\)

♨Rage♨

Answer:

$6284.4≤μ≤$6313.6

Step-by-step explanation:

Using the formula for calculating confidence interval as shown:

CI = xbar ± Z×S/√n

xbar is the average premium

Z is the z-score at 95% confidence

S is the standard deviation

n is the sample size

Given parameters

xbar = $6600

Z score at 95% CI = 1.96

S = $800

n = 25

Substituting this parameters in the formula we have;

CI = 6600±1.96×800/√25

CI = 6600±(1.96×800/5)

CI = 6600±(1.96×160)

CI = 6600±313.6

CI = (6600-313.6, 6600+313.6)

CI = (6284.4, 6913.6)

Hence the 95% confidence interval for the mean premium amount paid by all workers who have employer provided health insurance is $6284.4≤μ≤$6313.6

The time take to fill the pool will be 494 hours.

Inlet pipe fills in  38 hours = 1 pool

Inlet pipe fills in 1 hours = 1/38

Drain pipe empty in 39 hours = 1 pool

Drain pipe empty in 1 hour = 1/39

If both pipes are opened together then in pool fills in 1 hour =  1/38 - 1/39

= 1/1482

Therefore, 1/1482 fills in 1 hour.

. Therefore, 1/3 will be:

= 1/3 × 1482

= 494 hours.

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Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore

ΔABC is similar to ΔADE.

The sides of smaller triangle are in proportion with sides of bigger triangle.

Therefore we have the equation:

AC/AE = AB/AD

Substitute the given numbers:

x/x+15 =8/18

18x= 8(x+15)

18x = 8x+120

10x = 120

x = 12

AC=12

Explanation:

The commutative property of addition is where we can add two numbers in any order.

The general equation is x+y = y+x

A more concrete example would be something like 2+3 = 3+2 since both sides simplify to 5.

For 5a+b, it is the same as b+5a. We swap the two terms.

Answer:

C.

Step-by-step explanation:

You will need to divide the miles in order to understand how much fuel

The time and electricians it would take the remaining 3 electricians 8 hours to complete the job if one electrician does not report.

More people to do a task means less time it will take.

Less people to do a task means more time it will take.

Thus, they are inversely related.

If x men take y time for a work,

We can define a constant as "Manpower" needed for doing that specific work.

Let we define:

Manpower needed for a work = y + y + y + .. + y = Time per man × count of men

Manpower needed for a work = xy

We are given that;

Number of electricians= 4

Number of hours= 6

Now,

We can use the formula:

workers × time = work

where "workers" is the number of electricians, "time" is the number of hours they work, and "work" is the amount of work done.

In this case, we know that 4 electricians can complete the job in 6 hours. So:

4 × 6 = work

work = 24

This means that the total amount of work required to complete the job is 24 "units".

Now, if one electrician doesn't show up, we have only 3 electricians to do the work. Let's call the time it takes for the 3 electricians to complete the job "t".

So we have:

3 × t = 24

Dividing both sides by 3, we get:

t = 8

Therefore, by work and time answer will be 3 electricians and 8 hours.

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a) The contents of register x31 after the following instruction is executed? addi x31, x5, 32 is 277968880 decimal.

b) The contents of register x28 after the following instruction is executed is 278427652 decimal.

c)The contents of register x29 after the following instruction is executed is 1056 decimal

d) The contents of register x29 after the following instruction is executed is 278427652 decimal

In computer architecture, registers are special storage locations within the CPU that hold data temporarily. These registers can hold values in binary, decimal, or hexadecimal formats. In this scenario, we have two registers x5 and x6, holding hexadecimal values. We will use these values to answer the given questions about register manipulation.

a) To determine the contents of register x31 after the instruction "addi x31, x5, 32", we need to add 32 to the value in x5 and store the result in x31. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 in decimal. Adding 32 to this value, we get 277968880 decimal. Therefore, the contents of register x31 after the instruction is executed would be 277968880 decimal.

b) To determine the contents of register x28 after the instruction "add x28, x5, x6", we need to add the values in x5 and x6 and store the result in x28. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 decimal. The value in x6 is 00467b44hex, which is equivalent to 458804 decimal. Adding these two values, we get 278427652 decimal. Therefore, the contents of register x28 after the instruction is executed would be 278427652 decimal.

c) To determine the contents of register x29 after the instruction "ld x29, 1056decimal (x30)", we need to load the value at memory location 1056decimal + the value in register x30 into register x29. The value in register x30 is not given in this scenario, so we cannot determine the contents of register x29.

d) To determine the contents of register x29 after the instruction "sd x28, 16 decimal (x29)", we need to store the value in register x28 at memory location 16 decimal + the value in register x29. The contents of register x28 is 278427652 decimal

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The percentage of students attend either public school or college will be 90%.

Let the students in public school be 40%

Let the students in college be 50%

Let those who stay at home be 10%

Therefore, the percentage of students attend either public school or college will be:

= 40% + 50%

= 90%

Therefore, the percentage of students attend either public school or college will be 90%.

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In a school, the following information are given:

Public school students = 40

Number of those in college = 50

Number of those at home = 10

What percentage of students attend either public school or college?

a. 90%

b. 50%

c. 40%

d. 10%

given data:

Makis phone plan costs 17.50 per month plus $0.15 per text message.

to find: the maximum number of text messages Maki can use so the phone bill is no more than $56.50

$ 39 is left for text messages.

Thus, Maiks can send 260 text messages per billing period.

This result follows from the remainder theorem: the remainder upon dividing f(x) by x - c is exactly f(c).

So if

\(f(x)=5x^5+4x-3\)

then the remainder upon dividing this by x - 2 is f(2), or

\(f(2)=5\cdot2^5+4\cdot2-3 = \boxed{165}\)

Answer: To find A and B such that g(x) = f(x) is bijective, we need to ensure that g(x) satisfies the conditions for a bijective function, namely, that it is both injective and surjective.

To show that g(x) is injective, we need to show that for any distinct x1, x2 in A, g(x1) ≠ g(x2). We can do this by assuming that g(x1) = g(x2) and then showing that it leads to a contradiction.

So, let's assume that g(x1) = g(x2). Then, we have:

f(x1) = f(x2)

x1(x1-1) = x2(x2-1)

x1^2 - x1 = x2^2 - x2

x1^2 - x2^2 - x1 + x2 = 0

(x1 - x2)(x1 + x2 - 1) = 0

Since x1 and x2 are distinct, we must have x1 + x2 = 1.

But this is impossible, since x1 and x2 are both real numbers, and the sum of two real numbers cannot equal 1 unless one of them is complex. Therefore, our assumption that g(x1) = g(x2) must be false, and g(x) is injective.

To show that g(x) is surjective, we need to show that for any y in B, there exists at least one x in A such that g(x) = y. In other words, we need to find an expression for x in terms of y.

So, let's solve the equation f(x) = y for x:

x(x-1) = y

x^2 - x - y = 0

Using the quadratic formula, we get:

x = (1 ± √(1 + 4y))/2

Since we want to define g(x) on R, we need to ensure that the expression under the square root is non-negative. This means that 1 + 4y ≥ 0, or y ≥ -1/4.

Therefore, we can define A = [-1/4, ∞) and B = [0, ∞), and g(x) = f(x) is a bijective function from A to B.

Answer:

The equation of the sphere that passes through the point (7,1,-3) and center at (5, 6, 5) is \((x-5)^{2}+(y-6)^{2}+(z-5)^{2} = 93\).

Step-by-step explanation:

Any sphere centered at \((h,k,s)\) in an Euclidean space with a radius \(r\) is represented by the following formula:

\((x-h)^{2} +(y-k)^{2}+(z-s)^{2} =r^{2}\)

If \((x,y,z) = (7,1,-3)\) and \((h,k, s) = (5,6,5)\), the radius of the sphere is obtained:

\((7-5)^{2}+(1-6)^{2}+(-3-5)^{2} = r^{2}\)

\(r^{2} = 93\)

\(r = \sqrt{93}\)

The equation of the sphere that passes through the point (7,1,-3) and center at (5, 6, 5) is \((x-5)^{2}+(y-6)^{2}+(z-5)^{2} = 93\).

Answer:

\(\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.\)

Step-by-step explanation:

Let's call (as suggested)

p = the cost of one pizza

c = the cost of one cheeseburger

The Anderson Family ordered 2 pizzas and 4 cheeseburgers and paid $31.50, thus:

2p + 4c = 31.50             [1]

Next weekend, they ate at the same restaurant and ordered 3 pizzas and 2 cheeseburgers for $33.25, thus:

3p + 2c = 33.25           [2]

To know the cost of one pizza and one cheeseburger, we need to solve the system of equations defined by [1] and [2]

\(\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.\)

Answer:

1=13 2. 24. 3.7

Step-by-step explanation:

D = 12

hope that helped you

Answer:

\(= \frac{-2(x-6)}{(x+4)(x-4)}\)

Step-by-step explanation:

Given the expression;

\(\frac{x}{x^2-16} -\frac{3}{x-4}\)

According to difference of two square;

x² - 16 = x²-4² = (x+4)(x-4)

Substitute;

\(\frac{x}{(x+4)(x-4)} - \frac{3}{x - 4}\\\)

Find the LCM

\(= \frac{x-3(x+4)}{(x+4)(x-4)} \\= \frac{x-3x-12}{(x+4)(x-4)}\\= \frac{-2x-12}{(x+4)(x-4)}\\= \frac{-2(x-6)}{(x+4)(x-4)}\)

The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = x² - 3

The x-coordinates where the graphs of the equations intersect is when both equations are equal

So, we have

x² - 3 = 2x

Rewrite the equation as

x² - 2x - 3 = 0

When the equation is factored, we have

(x + 1)(x - 3) = 0

So, we have

x = -1 and x = 3

Hence, the x-coordinates are x = -1 and x = 3

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Question

From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.

y = 2x

y = x² - 3

Step-by-step explanation:

y = mx + b

m = 3

b = 2

y = 3x + 2

______________________

y = mx + b

m = 1/2

b = -1

y = 1/2x + (-1)

y = 1/2x -1

The total surface area of the pyramid from the net is 286 square cm

To calculate the total surface area of a pyramid from its net, you need to add up the areas of all its faces.

The net of a pyramid is a two-dimensional representation of the pyramid, where the edges of the net represent the edges of the pyramid.

In this case, the nets are

Using the above as a guide, we have the following:

Area = 10 * 7 + 2 * (1/2 * 10 * 12.5 + 1/2 * 7 * 13)

Evaluate

Area = 286

Hence, the surface area is 286 square cm

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Answer:

It's a mnemonic device to help you remember the three basic trig ratios used to solve for missing sides and angles in a right triangle. It's defined as: SOH: Sin(θ) = Opposite / Hypotenuse. CAH: Cos(θ) = Adjacent / Hypotenuse.

Answer:

SOH CAH TOA is a mathmatical acronym used in triginometry. It helps find missing angels and sides of a triangle.

Step-by-step explanation:

Sine = Opposite side over Hypotenuse         ---> SOH

Cosine = Adjacent side over Hypotenuse       ---> CAH

Tangent = Opposite side over Adjactent          ---> TOA

You use SOHCAHTOA to find the angle. You use the inverses to find the measures.

Answer:

It is the first one

Step-by-step explanation:

Open circle is greater or less than.

Closed circle is greater than or equal to and less than or equal to.

you

11.54 cm

Explanation

Step 1

draw and label

we have a right triangle, then

Step 2

Let

hence, we need a function that relates those values, it is sine function:

The sine function is a periodic function which is very important in trigonometry, it says for a rigth triangle, the sine of angle is the ratio of opposite side to hypotenuse: so

finally, replace and solve for h

therefore, the hypotenuse is

11.54 cm

I hope this helps you

Answer:

\(x = \sqrt{-2} = 2i\)

Step-by-step explanation:

\(5x^2-2=-12\)

\(5x^2 =-10\)

\(x^2 =-2\)

\(x = \sqrt{-2} = 2i\)

NSQ can be turned into SQ through hypothesis testing and statistical analysis to determine significant relationships and patterns in the data.

To turn a non-statistical question (NSQ) into a statistical question (SQ), we need to rephrase it in a way that allows for statistical analysis. A statistical question is one that can be answered by collecting and analyzing data. Here is an example of how to turn an NSQ into an SQ:

This is a non-statistical question because it cannot be answered by collecting and analyzing data. It is purely a matter of personal preference and cannot be measured quantitatively. However, we can turn it into a statistical question by rephrasing it as:

To answer this question, we would need to collect data from a sample of the population and analyze it statistically. For example, we could conduct a survey of 1000 people and ask them which beverage they prefer. We would then calculate the percentage of respondents who prefer tea over coffee and use statistical methods to estimate the margin of error and confidence interval.

By turning the non-statistical question into a statistical question, we have made it possible to collect and analyze data to answer it. This approach is useful in many fields, including market research, social sciences, and healthcare, where data-driven decisions are increasingly important.

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