Find the slope in fraction form

Answer: y = -12x +20

Step-by-step explanation: 1. distribute the -12 into the (x-2), that equals -12+24

2. subtract the 4 from the left side to move it to the right side of the equation

3. add like terms, so 24 + (-4) or 24-4 which equals 20.

4. Answer: y=-12x+20

Answer:

27 and 36

Step-by-step explanation:

Let's call the two numbers x and y.

\(3x=4y \\\\x+y=63\)

If you subtract y from both sides of the second equation, you can isolate x and substitute it into the first equation:

\(x=63-y \\\\3(63-y)=4y\\\\189-3y=4y\\\\189=7y\\\\y=27\\\\x=63-27=36\)

Hope this helps!

The ordered pair that is potted in quadrant II is (-4, 6)

The domain of the second quadrant in a Cartesian coordinate system, also identified as a Cartesian plane, is located above the x-axis and to the left of the y-axis.

This area forms one of four quadrants that comprise the entirety of said system, frequently leveraged for graphing functions or equations and illustrating various data points.

Examining the graph, the point plotted in the second quadrant is (-4, 6)

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Answer:

a

Step-by-step explanation:

7*2=14

5*2= 10

it would be (a) because 14 is greater than 12

Answer:

Step-by-step explanation:

⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️

Answer:

answer is d

Step-by-step explanation:

18n can be factored in 60

6 times which would remand 3n+10

Answer: 16 pounds of grain.

Step-by-step explanation: 36 divided by 9 is 4, which means we have to multiply bin C by how much bin J was multiplied by, which is 4, so 4x4 is 16.

(let me know if you would like me to explain more on this)

Volume = 201 cm

Here is an equation to help you find the volume of a cone:

V=πr²\(\frac{h}{3}\)=π·4²·\(\frac{12}{3}\) ≈ 201.06193cm³

This equation is what I used to solve your question. The answer is 201.06193, but is says round to the nearest whole number, so the answer is actually 201 cm.

In the equation:

V means Volume

π means Pi (3.14)

r² means radius squared

\(\frac{h}{3}\) means height divided by 3

4² means 4 · 4

\(\frac{12}3}\) means 12 ÷ 3

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

Answer:

\(\Huge \bold{\boxed{\boxed{\text{5\%}}}}\)

Step-by-step explanation:

To calculate the margin of error for the survey, we need to use the formula:

\(\large \text{Margin of error} = \large \text{$\frac{\text{Range of values}}{2}$}\)

The range of values is the difference between the upper and lower bounds of the interval. In this case, the lower bound is 22% and the upper bound is 32%, so the range of values is:

\(\large \text{Range of values = 32\% - 22\% = 10\%}\)

Substituting this value into the formula, we get:

\(\large \text{Margin of error = $\frac{10\%}{2}$ = 5\%}\)

Therefore, the margin of error on the survey is 5%.

Hello there!

Area = Length * Width

Area = \(\frac{5}{8} * \frac{4}{9}\)

Area = \(\frac{5}{18}\)

Thanks!

~Garebear

Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

From the frequency distribution, the measures are given as follows:

a) Total number of observations: 27.

b) The width of each class is of 5.

c) The midpoint of the second class if of 20.5.

d) The modal class is Class 12 - 17.

e) If another class was added, the limits would be 48 - 53.

The frequency distribution gives the number of observations that is located in each class.

Hence the total number of observations is given by the sum of the frequencies, as follows:

Total = 9 + 1 + 3 + 8 + 6 = 27.

The modal class is class with the highest number of observations, hence it is of:

Class 12-17.

The width of a class is given by the subtraction of the limits, hence:

Width = 47 - 42 = ... = 23 - 18 = 17 - 12 = 5.

For an added class, the lower bound would be one more than the last class, while the upper bound would be five added to the lower bound, hence the limits are:

48 - 53.

The midpoint of each class is given by the mean of the coordinates, hence, for the second class, it is of:

Midpoint = (18 + 23)/2 = 41/2 = 20.5.

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Answer:

OPS and TSP,

QPS and PSR

Step-by-step explanation:

The alternate interior angles look like the picture provided below. Next time, don't clickbait with the wrong amount of points.

QPS is included but isn't one of the answers because they it's not a multiple choice question.

Answer:

1/2

Step-by-step explanation:

3/4-1/4=1/2

The option that would be a Type II error in this setting is B. The mean amount of CO2 emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg

The type 1 error occurs if we get false positive conclusion (false positive means we accuse null hypothesis being wrong when it was actually correct).

The type 2 error occurs if we get false negative conclusion (false negative means we accept null hypothesis when it was actually false).

Hence, the mean amount of CO2 emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg is a type II error.

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According to a report from the United States Environmental Protection Agency, burning one gallon of gasoline typically emits about 8.9 kg of CO2. A fuel company wants to test a new type of gasoline designed to have lower CO2 emissions. Here are their hypotheses:

H0: μ = 8.9 kg

Ha: μ < 8.9 kg (where μ is the mean amount of CO2 emitted by burning one gallon of this new gasoline).

Which of the following would be a Type II error in this setting?

A. The mean amount of CO2 emitted by the new fuel is actually 89 kg but they conclude it is lower than 89 kg

B. The mean amount of CO2 emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg

C. The mean amount of CO2 emitted by the new fuel is actual 89 kg and they alto conclude it is lower than 89 kg and they conclude it is lower than 9 kg

D. The mean amount of CO2 emitted by the new fuels actually lower than 8.9

Answer:

The common ratio is 5.

30 ÷ 5 = 6.

Let n = 1 be the first term of this sequence.

\(a(n) = 6( {5}^{n} )\)

Answer:

Step-by-step explanation:

There are four different color marbles.

Probability of blue:

Next, there are 3 marbles left in the bag since no replacement.

Probability of red after blue:

The probability of these two steps in order:

Complement of R is:

Answer:

y = 3x

Step-by-step explanation:

A proportional function has the equation

y = kx, where k is the constant of proportionality and also the slope of the line.

Answer: y = 3x

The equation that represents the line whose slope of proportional relationship is 3 is; y = 3x.

The slope of the proportional relationship as given is 3.

However, the equation of the line which represents a proportional relationship usually takes the form; y = Mx.

Since, slope, m = 3.

The equation of the line is; y = 3x.

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Answer: We can start by using the concept of rates.

At 12:00 noon, oil is poured into the top of the tank at a rate of 2.1 gallons per minute and the valve at the bottom empties at a rate of 1.9 gallons per minute.

As the tank is empty at the beginning, the rate at which the oil is poured into the tank is equal to the rate at which the oil is leaving the tank.

2.1 gallons per minute - 1.9 gallons per minute = 0.2 gallons per minute

As the tank does not fill until 12:00 the next day, the difference between the rate of oil that enters the tank and the rate of oil that leaves the tank is equal to zero over the time frame.

0.2 gallons per minute * 1440 minutes = 288 gallons

So, the tank holds 288 gallons.

Step-by-step explanation:

Answer:

  (b)  3 units

Step-by-step explanation:

You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.

The dilation factor multiplies every length.

If OB is 3/4, then OB' is 4(3/4) = 3.

The length of OB' is 3 units.

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Answer:

1.19175359

Step-by-step explanation:

Use ma1hway

The moment of inertia for rotation about the z axis is  \(I & =\frac{a^2 M}{3}\).

A triangular prism of mass m, whose two ends are equilateral triangles.

Two ends are equal.

The xy plane with side 2a, is centered on the origin with its axis along the z axis.

Find the moment of inertia for rotation the z-axis.

It is divide into 4 triangles with side 'a' k one side is 3cm.

\($$\begin{aligned}& I_{\text {BiG }}=16 I_{\text {small }} . \\& I_{\text {BIG }}=4 I_{\text {small }}+P_{A T}\end{aligned}$$\)

It is fact that the big triangle is made up from four small triangles. connected with parallel axis theorem.

Now, we have to find the distance from the center of mas of small outer triangles to the origin. so, that it is PAT.

\($$\therefore z=2 \sqrt{x^2-\frac{a}{2} ^2}$$\)

\($$\begin{aligned}& =2 \sqrt{\left(\frac{a}{\sqrt{3}}\right)^2-\frac{a^2}{4}} \\& =2 \sqrt{\frac{a^2}{3}-\frac{a^2}{4}} \\I_{\text {Big }} & =\frac{\sqrt{3}}{3} a \cdot \\& \left.=4 I_{\text {small }}+3 m \frac{\sqrt{3}}{3} a\right)^2 \\I_{\text {Big }} & =4 I_{\text {small }}+\frac{3 m}{4} \frac{1}{3} a^2 \\& =\frac{a^2}{4}\end{aligned}$$\)

⇒ Now, by using the \($I_{\text {Big }}=I$\)

⇒\(I & =4\left(\frac{\sqrt{2}}{16}\right)+\frac{a^2 M}{4} \\\)

⇒\(4 I & =I+a^2 m\)

⇒\(4 I-I & =a^2 m \\\)

⇒\(3 I & =a^2 M . \\\)

⇒\(I \quad & =\frac{a^2 M}{3}\)

Therefore, the moment of inertia is \(I & =\frac{a^2 M}{3}\).

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Answer:

hello did you already get the answers

The complete statement is ∠PRQ ≅ ∠SRT. The correction option is A. ∠SRT

From the question, we are to complete the given statement

From the given information,

We have that ΔPQR ≅ ΔSTR

This means ΔPQR is congruent to ΔSTR

Then,

∠PQR ≅ ∠STR

∠PRQ ≅ ∠SRT

∠QPR ≅ ∠TSR  

Hence, the complete statement is ∠PRQ ≅ ∠SRT. The correction option is A. ∠SRT

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To determine how many times 11 can go through 108, you need to divide 108 by 11:

So it takes 11 9 times to go through 108 completely.