Line A is defined by the equation y=-3x-2
Line B is parallel to Line A and passes through the point (0,11).
Which of the following is the equatian for Line B
A. Y= 1/3x+0
B. Y=-3x+5
C. Y=1/3x+11
D.y=-3x+11

Answer:

For the top row, 3 and 4, respectively

For the bottom row, 60 and 150, respectively

Step-by-step explanation:

w increases by 1 every time and d increases by 30

Answer:

for 2 weeks it is $60 and for $90 dollars its 3 weeks and for $120 is 4 weeks  and for 5 weeks its $150.

Step-by-step explanation:

She gets payed $30 every week since 1 week=30 that means its adding 30 dollars each week.

The expected time before the first purchase is 1 / 3 = 0.3333 minutes.  P(X > 0.07) ≈ 0.9487. The expected time until the eighth purchase is 8 * (1/3) = 8/3 = 2.6667 minutes. The probability that the eighth purchase will occur between 2.33 minutes and 3 minutes after the site opens is approximately 0.1095.

a) The expected time in minutes before the first purchase after the site opens can be calculated using the formula for the expected value of a Poisson distribution, which is equal to the reciprocal of the rate parameter λ.

In this case, the rate of purchases is given as 30 purchases every 10 minutes, which can be converted to a rate of 3 purchases per minute (30 purchases / 10 minutes = 3 purchases / 1 minute). Therefore, the expected time before the first purchase is 1 / 3 = 0.3333 minutes (rounded to four decimal places).

b) To calculate the probability that more than 0.07 minutes pass before the first purchase, we can use the cumulative distribution function (CDF) of the exponential distribution, which is the waiting time distribution for a Poisson process.

The exponential distribution with rate parameter λ has the probability density function (PDF) f(x) = λ * e^(-λx), where x is the waiting time.

Using this, the probability P(X > 0.07) can be calculated by integrating the PDF from 0.07 to infinity:

P(X > 0.07) = ∫[0.07, ∞] λ * e^(-λx) dx

In this case, λ = 3 (purchases per minute), so the calculation becomes:

P(X > 0.07) = ∫[0.07, ∞] 3 * e^(-3x) dx

Solving this integral, we get P(X > 0.07) ≈ 0.9487 (rounded to four decimal places).

c) The expected time in minutes until the eighth purchase can be calculated using the formula for the expected value of the sum of independent exponential random variables.

In a Poisson process, the interarrival times (time between consecutive purchases) follow the exponential distribution. Since the average rate is 30 purchases every 10 minutes, the average interarrival time is 10 minutes / 30 purchases = 1/3 minutes per purchase.

Therefore, the expected time until the eighth purchase is 8 * (1/3) = 8/3 = 2.6667 minutes (rounded to four decimal places).

d) To calculate the probability that the eighth purchase will occur between 2.33 minutes and 3 minutes after the site opens, we can use the cumulative distribution function (CDF) of the exponential distribution.

The CDF of the exponential distribution is given by F(x) = 1 - e^(-λx).

In this case, λ = 3 (purchases per minute). We need to calculate P(2.33 < X < 3), where X is the waiting time for the eighth purchase.

P(2.33 < X < 3) = F(3) - F(2.33) = (1 - e^(-3 * 3)) - (1 - e^(-3 * 2.33))

Simplifying this expression, we find P(2.33 < X < 3) ≈ 0.1095 (rounded to four decimal places). Therefore, the probability that the eighth purchase will occur between 2.33 minutes and 3 minutes after the site opens is approximately 0.1095.

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Answer:

Step-by-step explanation:

For the given sequence of transformation mapping of pentagon ABCDE onto pentagon A"B"C"D"E" is given by Line reflection followed by a translation.

As given in the question,

Given sequence of transformation mapping of pentagon ABCDE onto pentagon A"B"C"D"E" is given by :

a. dilation followed by a rotation :

Here dilation means enlarge or reduced the original shape which is not true for the given pentagon ABCDE.

b. translation followed by a rotation :

Translation means moves around a fixed point by certain degrees that is horizontal or vertical shift.

Not true.

c. Line reflection followed by a translation:

In this case preimage is flipped across the line or get reflected.

True.

d. Line reflection followed by a line reflection:

Here  fixed line is or a line is used as mirror . You get a image of the original.

Not true.

Therefore, for the given sequence of transformation mapping of pentagon ABCDE onto pentagon A"B"C"D"E" is given by Line reflection followed by a translation.

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Answer:

a. standard deviation

Step-by-step explanation:

Standard deviation measures the variation (how spread out the data is from the mean) of a data set.  

Answer:

The answer is 11/35, Hope this helps!

Stay safe, and have a very nice rest of the day!

Answer:

1   1   5

6÷5=6

Step-by-step explanation:

Answer:

250x100=25,000

Step-by-step explanation:

just add two zeros at the end of 250 and you get your answer!

aww,thank you ^^

i hope you're having a good day as well

Answer:

thank youuu

Step-by-step explanation:

answer: h =4 in ^2

It kept flagging my response for some reason, but I worked it out for you and took a screenshot. I hope this helps :)

Answer:

bet

Step-by-step explanation:

Answer:

n=-20/133

Step-by-step explanation:

Use the distributive property to multiply −2 by −4n+1.

8n−2+5(25n−8)=−62

Use the distributive property to multiply 5 by 25n−8.

8n−2+125n−40=−62

Combine 8n and 125n to get 133n.

133n−2−40=−62

Subtract 40 from −2 to get −42.

133n−42=−62

Add 42 to both sides.

133n=−62+42

Add −62 and 42 to get −20.

133n=−20

Divide both sides by 133.

n=-20/133

Fraction −20/133≈−0.15037594 can be rewritten as −20/133 ≈−0.15037594 by extracting the negative sign.

n=−20/133

By the image we can see that our geometric figure ABCD has the translation:

after the figure is translated, it is reflected by the X-axis, wich means that the Y coordenate is negative, so our transformation is giving by:

Answer:

4x + xy + 6 - 5y

Step-by-step explanation:

Answer:

\( \large \boxed{y = - 2x + 3}\)

Step-by-step explanation:

Goal

Given

Step 1

\( \large \boxed{m = \frac{y_2-y_1}{x_2-x_1} }\)

Substitute coordinate points in.

\(m = \frac{11 - 3}{ - 4 - 0} \\ m = \frac{8}{ - 4} \longrightarrow \frac{2}{ - 1} \\ m = - 2\)

Step 2

\( \large \boxed{y = mx + b}\)

where m = slope and b = y-intercept.

\(y = - 2x + b\)

Step 3

Substitute both coordinate points still give the same solution.

Step 3.1 — (0,3)

\(y = - 2x + b \\ 3 = - 2(0) + b \\ 3 = 0 + b \\ 3 = b\)

Step 3.2 — (-4,11)

\(y = - 2x + b \\ 11 = - 2( - 4) + b \\ 11 - 8 = b \\ 3 = b\)

Therefore, the value of b is 3.

Step 4

\(y = - 2x + b \\ y = - 2x + 3\)

Hence, the equation of a line is y = -2x+3.

Nolan stops reading at time 2:05 am.

To calculate this,  first, calculate the amount of time elapsed since he began reading. Since he started reading at a quarter to 11, then subtract 11:45 pm (a quarter to 12) from the time he began reading, which was 11:45 pm. This gave me an elapsed time of 0 hours and 15 minutes.  then added this elapsed time to the total time Nolan read, which was 3 hours and 5 minutes. This gave us a total elapsed time of 3 hours and 20 minutes. Finally, then added this total elapsed time to the start time of 11:45 pm. This gave me the result of 2:05 am as the time Nolan stopped reading.

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Explanation

We are given the following vertices of a triangle:

We are required to determine the perimeter of the triangle.

This is achieved thus:

We know that the distance between two points is given as:

To determine the perimeter of the triangle ABC, we need to determine the distances of AB, AC, and BC.

Therefore, we have:

Therefore, the perimeter becomes:

Hence, the perimeter is:

The equation of the perpendicular line to the given line is, \(y = \frac{4}{5}x - 8\).

What is perpendicular lines?

When two geometric objects intersect at a right angle, they are considered to be perpendicular in elementary geometry. By using the perpendicular symbol,, the condition of perpendicularity can be graphically represented. Between two lines, a line and a plane, or between two planes can be used to define it.

Consider the given equation of line

5x + 4y = 10

Convert it into the form y = mx + c

⇒ 4y = -5x + 10

y = -5/4x + 10/4

y = -5/4x + 5/2

Here the slope of line is, -5/4.

The slope of perpendicular line is negative reciprocal of the slope of given line.

So, the slope of perpendicular line is,

\(-\frac{1}{(-5/4)} = \frac{4}{5}\)

Also the line passes through the point (5, -4).

By using the point slope form to find the equation of line

\(y-y_1 = m(x-x_1)\\y-(-4) = \frac{4}{5}(x-5)\\ y+4=\frac{4}{5}x - 4\\ y = \frac{4}{5}x - 4 - 4\\ y = \frac{4}{5}x - 8\)

Hence, the equation of the perpendicular line to the given line is, \(y = \frac{4}{5}x - 8\).

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Answer:21

Step-by-step explanation:

Answer:

BruV

Step-by-step explanation:

what do you mean???

The characteristics of the given graph that can be used to find the

inequality are the y-intercept and the shaded region of the inequality.

Correct response:

Given:

From the given diagram, we have that the inequality is a linear inequality,

therefore, the inequality can be expressed as y ≤ m·x + c.

Where:

m = The slope

c = The y-intercept

From the graph, the y-intercept of the graph of the inequality is at the point (0, -1)

Therefore;

The shaded region which is to the right of the line with a positive slope

(the straight line increasing from left to right) indicates that the value of y is

less than the equation of the line of the inequality.

The solid line in the graph indicates that the inequality relationship is less

than or equal to (≤).

The inequality that has -1 as the y-intercept and a shaded region to the right of the solid line from among the given options is option j. 3·x - 1 ≥ y

The above inequality can be written as follows;

y ≤ 3·x - 1

Therefore;

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Answer:

10 pounds

Step-by-step explanation:

given ratio weight:added weight=10:1

100:x=10:1

100/x=10/1

solving for x

100=10x

x=10

The volume enclosed by the two curves when revolved about the x-axis is \(\(\frac{6\pi}{5} \ln 3 - \frac{3\pi}{2} \cdot 3^{\frac{4}{5}}\).\) To find the volume when the area enclosed by the graphs of \(\(y = x^2\)\)and \(\(y = \frac{3}{x^3}\)\) is revolved about the x-axis, we can use the method of cylindrical shells.

First, let's find the points of intersection between the two curves by setting them equal to each other:

\(\[x^2 = \frac{3}{x^3}\]\)

To simplify this equation, we can multiply both sides by \(\(x^3\)\):

\(\[x^5 = 3\]\)

Now, taking the fifth root of both sides:

\(\[x = \sqrt[5]{3}\]\)

So the two curves intersect at \(\(x = \sqrt[5]{3}\)\).

To calculate the volume area enclosed by the graphs of \(\(y = x^2\)\)and \(\(y = \frac{3}{x^3}\)\) is revolved about the x-axis, we need to integrate the circumference of each cylindrical shell multiplied by its height. The height of each shell is the difference in the y-values of the two curves, and the circumference is\(\(2\pi x\)\).

Let's integrate from \(\(x = 0\)\) to \(\(x = \sqrt[5]{3}\)\):

\(\[V = \int_0^{\sqrt[5]{3}} 2\pi x \left(\frac{3}{x^3} - x^2\right) \, dx\]\)

Simplifying this expression:

\(\[V = 2\pi \int_0^{\sqrt[5]{3}} \left(\frac{3}{x} - x^3\right) \, dx\]\)

Integrating each term separately:

\(\[V = 2\pi \left[3 \ln|x| - \frac{x^4}{4}\right]_0^{\sqrt[5]{3}}\]\)

Plugging in the limits of integration:

\(\[V = 2\pi \left[3 \ln|\sqrt[5]{3}| - \frac{\sqrt[5]{3}^4}{4}\right] - 2\pi \left[3 \ln|0| - \frac{0^4}{4}\right]\]\)

Since \(\(\ln|0|\)\)is undefined, the second term on the right side is zero:

\(\[V = 2\pi \left[3 \ln|\sqrt[5]{3}| - \frac{\sqrt[5]{3}^4}{4}\right]\]\)

Simplifying further:

\(\[V = 2\pi \left[3 \ln 3^{\frac{1}{5}} - \frac{3}{4} \cdot 3^{\frac{4}{5}}\right]\]\)

Using the properties of logarithms, we can simplify the first term:

\(\[V = 2\pi \left[3 \cdot \frac{1}{5} \ln 3 - \frac{3}{4} \cdot 3^{\frac{4}{5}}\right]\]\)

\(\[V = \frac{6\pi}{5} \ln 3 - \frac{3\pi}{2} \cdot 3^{\frac{4}{5}}\]\)

So the volume enclosed by the two curves when revolved about the x-axis is \(\(\frac{6\pi}{5} \ln 3 - \frac{3\pi}{2} \cdot 3^{\frac{4}{5}}\).\)

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Answer:

Negative means focused on what is bad or lacking. A negative ad tells you bad things about the competition. A negative person loves to complain. In math, a negative number is less than zero.

Step-by-step explanation:

The value of the rate of growth in Japan is - 0.55.

From the question above, :Birth rate = 7.7 per thousand

Death rate = 9.8 per thousand

Net migration = 0.55 per thousand

The rate of growth can be calculated using the following formula:

r = (birth rate - death rate) + net migration

Where,r = rate of growth

birth rate = number of live births per thousand in a population in a given year

death rate = number of deaths per thousand in a population in a given year

net migration = the difference between the number of people moving into a country (immigrants) and the number of people leaving a country (emigrants) per thousand in a given year

Putting the values in the formula we get,r = (7.7 - 9.8) + 0.55r = - 1.1 + 0.55r = - 0.55.

Therefore, the rate of growth in Japan is - 0.55.

Your question is incomplete but most probably your full question was:

thenet migration is confusing me. i thought of using the formula:[ (births + immigration) - (deaths + emmigration)] / total

population • 100 but im not sure how to do it with net migration.

Japan's birth rate is 7.7 per thousand and its death rate is 9.8 per thousand with a net migration of 0.55 ner thousand. Calculate r for Japan

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Therefore, the correct answer is (B) No, she needs 1/2 cup more.

To determine if Patricia has enough rice cereal for her recipe, we need to calculate the total amount of rice cereal she has after all her actions and compare it to the 3 cups required for the cereal clusters.

Initially, Patricia had 5 cups of rice cereal. She used 3 cups to make granola bars, leaving her with 2 cups. She then borrowed 0.5 cup from her friend, which brings her total to 2.5 cups.

Finally, she needs 3 cups of rice cereal for the cereal clusters recipe. Since she only has 2.5 cups, she does not have enough rice cereal and needs to get more. Therefore, the correct answer is B) No, she needs 1/2 cup more.

She then borrows 0.5 cup, so she now has 2 + 0.5 = 2.5 cups.

needs 3 - 2.5 = 0.5 cups more.

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Answer:

\(x=16.4\ y=13.7\)

Step-by-step explanation:

\([Kindly\ refer\ the\ attachment.]\\We\ are\ given\ that,\\\triangle ABC\ is\ a\ right-triangle\ and\ has\ it's\ legs\ x\ and\ z.\\It's\ altitude\ CD\ separates\ it\ into\ two\ triangles:\\\triangle BCD\ and\ \triangle ADC,\ both\ of\ which\ are\ right-triangles.\\Now,\\The\ Pythagoras\ Theorem\ tells\ us\ that:\\'The\ sum\ of\ squares\ of\ both\ the\ legs\ is\ equal\ to\ the\ square\ of\ the\\ hypotenuse'.\\Here,\\Lets\ consider\ three\ triangles\ separately.\\\)

\(In\ \triangle ADC\ right\ angle\ is\ at\ \angle ADC.\\Hence,\\AC\ is\ the\ hypotenuse, and\ AD\ and\ DC\ are\ it's\ legs.\\Hence,\\AD^2+DC^2=AC^2\\Or,\\9^2+y^2=x^2\\\\Lets\ take\ the\ above\ equation\ as\ E_1.\)

\(In\ \triangle BDC\ right\ angle\ is\ at\ \angle BDC.\\Hence,\\BC\ is\ the\ hypotenuse, and\ DC\ and\ DB\ are\ it's\ legs.\\Hence,\\DC^2+DB^2=BC^2\\Or,\\21^2+y^2=z^2\\Lets\ take\ the\ above\ equation\ as\ E_2.\)

\(Now,\\In\ whole\ \triangle ACB\ right\ angle\ is\ at\ \angle ACB.\\Hence,\\AB\ is\ the\ hypotenuse, and\ AC\ and\ BC\ are\ it's\ legs.\\Hence,\\AC^2+BC^2=AB^2\\Or,\\x^2+z^2=(21+9)^2=30^2\\Lets\ take\ the\ above\ equation\ as\ E_3.\)

\(Lets\ now\ gather\ the\ three\ equations:\\9^2+y^2=x^2\\21^2+y^2=z^2\\x^2+z^2=30^2\\Now,\\Lets\ pair\ and\ add\ E_1\ and\ E_2.\\Hence,\\(9^2+y^2)+(21^2+y^2)=(x^2)+(z^2)\\Hence,\\81+y^2+441+y^2=x^2+z^2\\Hence,\\2y^2+522=x^2+z^2\\Considering\ E_3,\\We\ already\ know\ that,\\x^2+z^2=30^2\\Hence,\\2y^2+522=30^2\\Hence,\\2y^2+522=900\\2y^2=900-522=378\\Hence,\\y^2=\frac{378}{2}=189\\Hence,\\y=\sqrt{189}=13.7\\\)

\(Plugging\ in\ y=13.7\ in\ E_1,\\9^2+(13.7)^2=x^2\\81+189=x^2\\x^2=270\\x=\sqrt{270}=16.4\)

Answer:

last option is the answer

Step-by-step explanation:

the answer cannot be the two middle options because you can see the y-intercept is 2 so the equation must end with that

now you have to determine if the slope of the line is -5 or -1

you can find the slope by selecting two points on the line; for example, (0,2) and (1,1) and using formula:  difference of y-values       2 - 1  

                                              difference of x-values        0 - 1

the slope is -1

Answer:

ranalllldooo

Step-by-step explanation:

suiiiiiii

Let x represent the age of a person.

From the information given, a person must be at least 2 years old. This means that the person must be greater than or equal to 2 years. The inequality symbold representing greater than or equal to is '≥'

Thus, the inequality is

x ≥ 2

The graph would be a vertical line passing through x = 2 and the shaded area would be to the right of the line. The line would be solid, indicating that the points on the line are inclusive. Thus, the correct graph is

Answer:

C) 11

Step-by-step explanation:

120 square root is 10.9

just round it up to 11

Answer:

13/25 is the correct answer

Step-by-step explanation:

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