Select the table that represents a linear function. (Graph them if necessary)

A.
x : 0 1 2 3
y: 3 2 0 1

B.
x : 0 1 2 3
y: 0 0 -1 -2

C.
x : 0 1 2 3
y: 11 7 5 4

D.
x : 0 1 2 3
y: 6 12 18 24

Answer:

The error is when 6y = 12 it will be -6y = 12 and the intercept would be -2.

Step-by-step explanation:

Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

Answer: x = 70

Step-by-step explanation:

You can simply solve for x by simplifying both sides of the equation, then isolating the variable

Solve, x/7 - 2 = 8, for x.

x/7 = 10, added the value of 2 to both sides of the equation.

x=70, multiplied the value of 7 to both sides of the equation.

Thus the value of x is equal to 70.

Answer:

5 hours and 30 mintues?

Step-by-step explanation:

Answer:

The number is 380

Step-by-step explanation:

Let the number be 'x'

\(\sf \dfrac{x}{20}=x-361\\\\\text{multiply the entire equation by 20}\\\\20*\dfrac{x}{20}=20*(x-361)\)

x  = 20x - 20*361

x = 20x - 7220

Now subtract '02x' from both sides

x - 20x = -7220

  -19x   =-7220

Divide both sides by (-19)

     x = (-7220) ÷ (-19)

    x = 380

All terms should be shifted to the left and set to zero. After that, make each factor equal to zero. \(C=\frac{P}{1+M}$$\)

P=C+M C

As C + M C = P, rewrite the equation.

C+M C=P

Add C to the equation on both sides. .MC=P−C

Simplify M C = P C by dividing each term by C.

Divide each phrase into \($M C|=| \boldsymbol{P}-\boldsymbol{C}$\) by C

\(\frac{M C}{C C} \equiv \frac{P}{C}+\frac{-C}{C}$$\)

C's common factor should be cancelled.

\($M=\frac{P}{C}+\frac{-C}{C}$\)

M=PC−1

An equation that is mostly made up of letters is said to be literal. Literal equations include those found in formulas. Each variable acts as a "literal" representation of an essential element of the overall relationship that the equation expresses. For instance, P = 2L + 2W is a formula for expressing a rectangle's perimeter.

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Answer:

the answer is 27

i did this by doing 6 x 2 which is 12 so i then did 16 - 12 which is 4 then i add the 2 in it which is 42 i then did 6 x 7 which is 42 and thats 0

this is my statement and i did this on paper and got this right!

Answer:

27

Step-by-step explanation:

See photo below

Answer:

11 buses

Step-by-step explanation:

d $178,000 cost of foods

Answer: Choice C

4/(3*sqrt(3))

which is the same as writing \(\frac{4}{3\sqrt{3}}\)

==============================================================

Explanation:

We have the line \(\left(\sqrt{2}\right)x+y +2 = 0\) in which points B and C are on this line. In other words, all of segment BC is on that line.

Point A is somewhere off that line as the diagram below indicates. We need to find the line through A that is perpendicular to the given line.

Recall that for any line of the standard form \(Px+Qy+R = 0\\\\\), any perpendicular line will look like this: \(Qx-Py+S = 0\\\\\). Note the swap and sign change for the P,Q coefficients.

So anything perpendicular to \(\left(\sqrt{2}\right)x+y +2 = 0\) will be of the form \(x-\left(\sqrt{2}\right)y+S = 0\). The sub-goal here is to find what S is equal to.

If you plugged in the origin point (x,y) = (0,0), then you should find that S = 0.

Therefore, the equation \(x-\left(\sqrt{2}\right)y = 0\) is perpendicular to the given line and it passes through point A(0,0).

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

The reason why we computed that perpendicular line is to help determine the point D as shown in the diagram below. This point is at the intersection of the green perpendicular lines. This is at the base of the triangle such that BC is the base.

To find the location of point D, you need to solve this system of equations

\(\begin{cases}\left(\sqrt{2}\right)x+y +2 = 0\\\\x-\left(\sqrt{2}\right)y = 0\end{cases}\)

Let's isolate x in the second equation

\(x-\left(\sqrt{2}\right)y = 0\\\\x=\left(\sqrt{2}\right)y\\\\\)

Then substitute that into the other equation. Solve for y.

\(\left(\sqrt{2}\right)x+y +2 = 0\\\\\left(\sqrt{2}\right)*\left(\sqrt{2}\right)y+y +2 = 0\\\\2y+y +2 = 0\\\\3y +2 = 0\\\\3y = -2\\\\y = -2/3\\\\\)

Now we can find x like so

\(x=\left(\sqrt{2}\right)y\\\\x=\left(\sqrt{2}\right)*(-2/3)\\\\x=\frac{-2\sqrt{2}}{3}\\\\\)

The point D is located at the exact coordinates of

\(D=(x,y) = \left(\frac{-2\sqrt{2}}{3},\frac{-2}{3}\right)\\\\\)

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

Next, we use the distance formula to compute the distance between point A and point D.

I'll use lowercase d to represent distance.

\(A = (x_1,y_1) = (0,0)\\\\D = (x_2,y_2) = \left(\frac{-2\sqrt{2}}{3},\frac{-2}{3}\right)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{\left(0-\left(\frac{-2\sqrt{2}}{3}\right)\right)^2 + \left(0-\left(\frac{-2}{3}\right)\right)^2}\\\\d = \sqrt{\left(\frac{2\sqrt{2}}{3}\right)^2 + \left(\frac{2}{3}\right)^2}\\\\d = \sqrt{\frac{8}{9} + \frac{4}{9}}\\\\d = \sqrt{\frac{12}{9}}\\\\d = \sqrt{\frac{4}{3}}\\\\d = \frac{\sqrt{4}}{\sqrt{3}}\\\\d = \frac{2}{\sqrt{3}}\\\\\)

This represents the exact length of segment AD.

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

Since triangle ABC is equilateral, this means triangles ADB and ADC are identical mirrored copies of each other. Those two smaller triangles are equal in area and combine to form triangle ABC back again. Furthermore, they are right triangles. This last fact mentioned will allow us to use the pythagorean theorem like so

\(a^2+b^2 = c^2\\\\\left(\text{AD}\right)^2+\left(\text{DC}\right)^2=\left(\text{AC}\right)^2\\\\\left(\frac{2}{\sqrt{3}}\right)^2+\left(\frac{x}{2}\right)^2=\left(x\right)^2\\\\\)

where x represents the lengths of AB, BC and AC.

After skipping a bit of steps, solving that said equation should lead to these two solutions

\(x = -\frac{4}{3}, \ x = \frac{4}{3}\)

Because x is a side length, we ignore the negative solution.

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

We can now compute the area of triangle ABC

\(\text{area of triangle} = \frac{1}{2}*\text{base}*\text{height}\\\\\text{area of triangle ABC} = \frac{1}{2}*\text{BC}*\text{AD}\\\\\text{area of triangle ABC} = \frac{1}{2}*\frac{4}{3}*\frac{2}{\sqrt{3}}\\\\\text{area of triangle ABC} = \frac{1*4*2}{2*3*\sqrt{3}}\\\\\text{area of triangle ABC} = \frac{8}{6\sqrt{3}}\\\\\text{area of triangle ABC} = \frac{4}{3\sqrt{3}}\\\\\)

which points us to choice C as the final answer.

When writing this on a keyboard, we would write "4/(3*sqrt(3))" without quotes. The use of parenthesis is needed to ensure we divide by all of 3*sqrt(3). Otherwise, the computer might mistake it for \(\frac{4}{3}\sqrt{3}\) which is entirely different.

Answer:

It should be 42.4

Answer:

yes really the questions have not sense

Answer:

The answer to your question is A "In an Old House"  I hope this helps

Sorry if I am wrong

Answer: It would be "In an Old House"

Step-by-step explanation:

Answer:

\( b = {a}^{2} - 6\)

Step-by-step explanation:

\(a = \sqrt{b + 6} \\ squaring \: both \: sides \\ {a}^{2} = {( \sqrt{b + 6)} }^{2} \\ {a}^{2} = b + 6 \\ {a}^{2} - 6 = b \\ \huge \purple { \boxed{ b = {a}^{2} - 6}}\)

Answer:

b= a^2-6

Step-by-step explanation:

Check the attachment.

Hope it helps :)

Answer: 455

Step-by-step explanation:

Answer:

455

Step-by-step explanation:

hope you find this helpfull

The difference between city A and city B is 1.5988 x \(10^{5}\)

The standard form of a number is a way of writing the number in a form that follows certain rules. Any number that can be written as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.

let us rewrite the population of city A in powers of 2

1.6 x \(10^{5}\) we need to move the decimal place 3 steps to the right and add 2 zeros in front of 6 which is 1600 x \(10^{2}\)

So that city A and B have the population in powers of \(10^{2}\)

so A - B = 1600 x \(10^{2}\) - 1.2 x \(10^{2}\) factor out  \(10^{2}\)

A - B = \(10^{2}\)( 1600 - 1.2)

A - B = 1598.8 x  \(10^{2}\)

so rewriting the difference in standard form we move the decimal place 3 steps to the left so that we have 1.5988 x  \(10^{5}\)

In conclusion the difference in population between both cities is 1.5988 x  \(10^{5}\)

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Answer:

¢70

Step-by-step explanation:

210 divided by 3 equals 7

Answer:

2.80

Step-by-step explanation:

divided 2.10 by 3 then times that answer by 4

Alaska occupies 17.22% of the surface area of the United States. Rounding to the nearest whole number, we get 17%. Hence, the answer is:17%

We are given that the surface area of the United States is 3.797 million square miles and the state of Alaska occupies 655,400 square miles. We need to determine what percentage of the surface area of the United States is occupied by Alaska using ratios.To find the percentage, we need to first find the ratio of Alaska's surface area to the surface area of the United States. We can do this by dividing the surface area of Alaska by the surface area of the United States. That is,655,400 / 3,797,000 = 0.1722We can express this ratio as a percentage by multiplying by 100. That is,0.1722 × 100 = 17.22%

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The correct answer is D. No because 23 and 25 are not supplementary.

In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.

If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.

The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.

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The correct number line that displays the solution `x ≥ 3` would be:

 <------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------>

       -10    -9     -8     -7     -6     -5     -4     -3     -2     -1     0      1      2      3      4      5      6      7      8      9     10

                                   ●------------------------------------------------>

The solution `x ≥ 3` is an inequality that means x is greater than or equal to 3. To graph this inequality on the number line, we mark the point representing the value 3 with a closed circle on the number line and draw an arrow pointing to the right to indicate that all values greater than or equal to 3 satisfy the inequality.

The closed circle at 3 indicates that 3 is included in the solution set, and the arrow to the right indicates that all values greater than 3 also satisfy the inequality. Therefore, any value of x that is equal to or greater than 3 would be considered a solution to the inequality `x ≥ 3`.

It is important to note that if the inequality was `x > 3` (without the equal sign), the closed circle at 3 would be changed to an open circle, indicating that 3 is not included in the solution set, and only values greater than 3 would be considered solutions. In conclusion, the number line provided above correctly displays the solution `x ≥ 3`.

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Answer:

Present value is $993.47

Step-by-step explanation:

PV = present value

Fv = future value = $1,600

Discount (i) = 10%

N = Years = 5

The formula for this is given by:

PV = FV/(1 + i)^N

PV = $1600/(1 + 0.10)^5

PV = $1600/1.1^5

PV = $1600/1.61051

PV = $993.47

Answer:

Step-by-step explanation:

it is I(n) = .25n

The value of the linear correlation coefficient r is of:

C) r =  0.109  .

A linear equation is a special function that has the format of the equation given as follows:

y = mx + b.

The coefficients of the equation y = mx + b are given as follows:

m is the slope, representing the rate of change of y relative to x, which is also the correlation coefficient of the linear function.

b is the y-intercept, representing the value of y when x = 0.

here, we have,

In this problem, the points of the function are listed as follows:

x -59 61 53 56 60 57 53 53

y -156 164 163 177 159 175 151

now,

From these points, we can gather that  the linear function is given as follows:

the linear correlation coefficient r =  0.109

Meaning that the linear correlation coefficient r of the linear function is of C) r =  0.109  .

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I'm guessing 3 rounds means 3 times around?

diameter = 280

circumference = dπ = 280π

280π x 3 = 840π

If you want it rounded it's about 2638.94 :)