W X Y Z is a kite. Find the measure of angle W.

Answer: y=4/3x-8/3

Step-by-step explanation:

Slope-intercept form is y=mx+b.

Solve for m (the slope) first.

m=4/3

(you can use the points to solve for slope)

The y-intercept is -8/3 (as seen on the graph)

y=4/3x-8/3

Answer:

200

Step-by-step explanation:

1cm=50m

1*4=50*4

4=200 miles

Answer:

x=-3.75

Step-by-step explanation:

17 = -13-8x

30=-8x

x=-3.75

Answer:

Step-by-step explanation:

17=-13-8x

Step 1: add 13 to both sides

30=-8x

Step 2: divide by -8

-3.75=x

The probability of selecting a $10 dollar bill or a $5 dollar bill would be = 13/23

Probability is defined as the expression that can be used to represent the possible outcome of an event which may likely occur or not.

The quantity of $1 bill = 10

The quantity of $5 bill = 10

The quantity of $10 bill = 3

The sum total of bills in the box = 23

The probability of choosing a 5 or 10 bills;

= 10+3/23

= 13/23

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The graph of the function y = 4 ln(x-3) ln(x) is a logarithmic function with a vertical asymptote at x = 3. It approaches negative infinity as x approaches 3 from the left, and it approaches positive infinity as x approaches 3 from the right. The graph also has a horizontal asymptote at y = 0.

1. Identify the vertical asymptote: The function has a vertical asymptote at x = 3 because the expression ln(x-3) is undefined for x = 3. This means that the graph will approach this vertical line as x approaches 3.

2. Determine the behavior near the vertical asymptote: As x approaches 3 from the left (x < 3), the expression ln(x-3) becomes negative and approaches negative infinity. As x approaches 3 from the right (x > 3), ln(x-3) becomes positive and approaches positive infinity.

3. Find the horizontal asymptote: To determine the horizontal asymptote, take the limit of the function as x approaches positive or negative infinity. ln(x) approaches negative infinity as x approaches zero from the left, and it approaches positive infinity as x approaches infinity. Therefore, the horizontal asymptote is at y = 0.

4. Plot additional points: Choose some x-values greater and smaller than 3 and evaluate the function to get corresponding y-values. Plot these points on the graph.

5. Sketch the graph: Based on the information gathered, sketch the graph of the function, including the vertical asymptote at x = 3 and the horizontal asymptote at y = 0. Connect the plotted points smoothly to create a curve that approaches the asymptotes as described.

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Answer:

Step-by-step explanation :The volume V of a prism is V = Bh, where B is the area of the base, h is the height of the prism.To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Answer:

volume of the prism

(20×12×10)-(8×8×20)

2400-1280

1120 cm³

Answer:

15/60

Step-by-step explanation:

10/40 is equivalent to 5/20, and you can multiply the top and bottom of this fraction by 3 to get 15/60

Answer:

$7.18

Step-by-step explanation:

$3.59 x 2

Answer:

12.5 ft

Step-by-step explanation:

x/10=5/4

4x=5(10)

4x=50

x=12.5

Answer:

.321× 50

000

+ 1605X

therefore answer is 1.605

A dilation or combination of stiff movements and dilations constitutes a similarity transformation.

Similar figures don't always have to have the same size but share the same form.

A transition called a dilation keeps shape but not size. So a dilatation is a motion that is not rigid. A dilation or combination of stiff movements and dilations constitutes a similarity transformation. If and only if a similarity transformation translates one of the geometric figures onto the other, then two figures are said to be similar. Similar figures don't always have to have the same size but share the same form.

Similarity transformations include translation, reflection, rotation, and dilation. Rotation, reflection, and translation retain both size and form since they are rigid movements, whereas dilation just makes sure that the shape is preserved.

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The number of days would be 10 and the maximum percent of the population infected would be 25.752%.

What are exponential functions?

The exponential function, denoted by \(e^x\), is a mathematical function. Unless otherwise specified, the term refers to a positive-valued function of a real variable, though it can be extended to complex numbers or generalized to other mathematical objects such as matrices or Lie algebras.

\(p(t) = 7te^{-\frac{t}{10}}\)

percentage of infected people a maximum when p '(t) = 0

                    \(p '(t) = 7(1)e^\frac{-1}{10} +7te^\frac{-t}{10}(\frac{-1}{10})\\\\p'(t)=e^{-\frac{t}{10}}(7 -\frac{7t}{10})\\\\e^{-\frac{t}{10}}(7 -\frac{7t}{10})=0\\\\7 -\frac{7t}{10}=0\\\\t = 10\)

Hence percentage of infected people reaches a maximum after 10 days

maximum percent of the population infected = p(10)

    \(p(10) = 7(10)e^{-\frac{10}{10}}\\\\p(10)=\frac{70}{e}\\\\P(10)=25.752\%\)

Hence, the number of days would be 10 and the maximum percent of the population infected would be 25.752%.

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The height of the flagpole is 27 feet.

Given,

If two triangles are similar, sides of these triangles will be proportional.

Height of the flagpole  = h feet

Shadow castes by the flagpole  = 72 feet

Height of the person  = 6 feet

Shadow casted by the person = 16 feet

By using the property of similar triangles,

Hence, h/6 = 72/16

h = (6×72)/ 16

h = 27 feet

Therefore, The height of the flagpole is 27 feet.

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Therefore, the probability of landing on land would be higher than landing on water, with a ratio of approximately 1:3.

If you were dropped at a completely random spot on the planet, the chances of landing on land would be one in three, or approximately 33.33%. This is because approximately 71% of the Earth's surface is covered by water, while the remaining 29% is land.

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The warning approach is an example of Detection of error type prevention.

Error is a conscious or unconscious departure from a standard of conduct. A bug is a mistake in computer data. A software bug is an error, flaw, failure, or fault that results in an unwanted behavior from a computer program or system or leads it to deliver an inaccurate or unexpected outcome. Errors caused by bugs may have repercussions. The majority of defects are caused by faults and blunders in a program's source code, in its design, or in the parts and operating systems that these programs rely on.

After pressing submit or a PAR or KC quiz, D2Lprovides a warning if you have not saved your answers to one or more questions before grading your assignment. Since you are still permitted submit a quiz with unanswered questions, using a warning approach is an example of Detection type of error prevention

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Answer:

(5x+49)

Step-by-step explanation:

hope that helps

Answer:

-x^2 - 3

Step-by-step explanation:

SO we know f(x); x^2

when you place a (-), it flips teh image across the x-axis.

Finally, we see that the line is at (0,-3). To get it there, we need to go down 3, which gives us the -3 in the equation.

So we have -x^2-3

(rember the - sign is to flip it across the x-axis, and the -3 is to move the line 3 down the y-axis)        

I checked my answer on a calculator btw lol.

leakage rate by dividing initial tank volume by solution volume after 90 minutes, resulting in a leakage rate of 9.67 liters/min, the time to empty tank is 123.97 minutes. the amount of DPF = 0.08333 * 90

(a) To determine the leakage rate, we can calculate the difference in the initial volume of the tank and the volume of solution after 90 minutes. The initial volume of the tank is 1200 liters, and after 90 minutes, the tank contains 330 liters of solution. Therefore, the leakage rate is:

Leakage rate = (1200 - 330) / 90 = 870 / 90 ≈ 9.67 liters/min.

(b) To find the time it would take for the tank to become empty, we need to divide the initial volume of the tank by the leakage rate:

Time to become empty = 1200 / 9.67 ≈ 123.97 minutes.

(c) The Initial-Value Problem for N(t) can be expressed as:

dN/dt = (2 * 0.333) + (0.08333)
N(0) = 0.333 * (1200 / 2)

(d) To solve the Initial-Value Problem, we need to integrate the equation with respect to t:

∫dN = ∫(2 * 0.333 + 0.08333) dt
N = (2 * 0.333 + 0.08333)t + C

Using the initial condition N(0) = 0.333 * (1200 / 2), we can solve for C:

0.333 * (1200 / 2) = (2 * 0.333 + 0.08333) * 0 + C
C = 0.333 * (1200 / 2)

Therefore, the solution to the Initial-Value Problem is:

N(t) = (2 * 0.333 + 0.08333)t + 0.333 * (1200 / 2)

(e) To find the amount N(t) and the concentration c(t) of nitrate in the tank at t = 90, we substitute t = 90 into the equation for N(t):

N(90) = (2 * 0.333 + 0.08333) * 90 + 0.333 * (1200 / 2)

To find the concentration c(t) at t = 90, we divide N(90) by the volume of the solution at t = 90, which is 330 liters:

c(90) = N(90) / 330

(f) To find how much of the CLF in liters has been pumped into the tank by the time the farmer checks it, we multiply the pumping rate of the CLF (2 liters/min) by the time (90 minutes):

Amount of CLF = 2 * 90

(g) To find how much of the DPF in kg has been poured into the tank by the time the farmer checks it, we multiply the pouring rate of the DPF (0.08333 kg/min) by the time (90 minutes):

Amount of DPF = 0.08333 * 90

In absence of leakage:
(h) To find the time t∗ when c(t) would be at the right level, we set the concentration c(t) equal to the desired concentration of 0.14 kg/liter and solve for t:

(2 * 0.333 + 0.08333)t∗ + 0.333 * (1200 / 2) = 0.14 * V(t∗)

(i) To find the volume V of the liquid solution in the tank at t = t∗, we substitute the value of t∗ into the equation for V(t):

V(t∗) = (2 * 0.333 + 0.08333)t∗ + 0.333 * (1200 / 2)

We can convert t∗ from minutes to hours, minutes, and seconds by dividing t∗ by 60 and expressing the remainder as minutes and seconds.

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Answer:

Radius -  4

Apothem -  2

Area - \(12\sqrt{3}\) or 20.8

Step-by-step explanation:

Try to draw out my explanation so you know what this looks like.

~~~~

This is an equilateral triangle, so all sides are the same length. The perimeter can be divided by 3 to get each side length...

\(12\sqrt{3} \div3 = 4\sqrt{3}\)

Now that we know the side lengths, we can get this started!

~~~~

Now, an equilateral triangle has angles that all equal 60 degrees. We can bisect this into TWO special case triangles of measures 90-60-30.

4 times the square root of 3 will be the hypotenuse, and the smallest leg is always half of that. The larger leg is represented as the small leg times the square root of 3.

\(Small=2\sqrt{3} \\Hypotenuse = 4\sqrt{3} \\Long =6\)

By the way, the formula for the area can be either of the two:

\(A= \frac{1}{2} bh\\or\\A = \frac{1}{2} NAS\)

we can easily find the area using the first formula.

\(A= \frac{1}{2} (4\sqrt{3} )(6)\\A=12\sqrt{3}\)

The radius is the distance from the center to the corners & the apothem is the distance from the center to a side...

So we can divide the big triangle into a mini triangle at the bottom left/right

The height (small leg) of that triangle would be the apothem

The hypotenuse of that triangle would be the radius.

I did the math really quick because this is getting long. Anyhow, the small leg is 2 so is the apothem, and the hypotenus is 4, so is the radius

Happy April Fool's btw, lol.

Answer:

I do, it's amazing :)

Step-by-step explanation:

Answer: i cant see the pic but you sound proud so imma assume its nice :)

Step-by-step explanation:

ty for the points :)

Given the expression:

You need to expand it in order to find an equivalent expression.

It is important to remember the Sign Rules for Multiplication:

Now you have to apply the Distributive Property in order to expand the expression. You get:

Hence, the answer is: Last option.

Answer:

C = 39

Step-by-step explanation:

From the question given above, the following data were obtained:

A = 2x + 108

B = x + 33

C =?

Next, we shall obtain an expression for C. This can be obtained as follow:

A + B + C = 180 (sum of angles in a triangle)

2x + 108 + x + 33 + C = 180

2x + x + 108 + 33 + C = 180

3x + 141 + C = 180

Make C the subject by rearranging

C = 180 – 141 – 3x

C = 39 – 3x

Next, we shall determine the value of x. This can be obtained as follow:

A = 2x + 108

B = x + 33

C = 39 – 3x

A + B + C = 180

2x + 108 + x + 33 + 39 – 3x = 180

2x + x – 3x + 108 + 33 + 39 = 180

3x – 3x + 180 = 180

3x – 3x = 180 – 180

3x – 3x = 0

x(3 – 3) = 0

x(0) = 0

x = 0

Finally, we shall determine C. This can be obtained as follow:

C = 39 – 3x

x = 0

C = 39 – 3(0)

C = 39 – 0

C = 39

The expected value for this game is $0.80.

The expected value for this game is calculated using  the formula below:

Data given:

If you pull a green candy you will have to pay them $1.00 and there is a 0.4 probability that you pull a green candy

If you pull a red candy you will have to pay them $2.00 and there is a 0.6 probability that you pull a red candy.

Expected value = (0.6 * $2.00) + (0.4 * -$1.00)

Expected value  = $1.20 - $0.40

Expected value = $0.80

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As per the central tendency, the mean of the data is 6.75, mode is 10 and the median is 20, and the mean value is the measure of central tendency and that would provide the best description of the average score.

In this case, the data on the number of times your friends went to the doctor this year is not evenly distributed, and there are some extreme values. 10 people went to the doctor once or less, while 4 people went four or more times. This suggests that the distribution is skewed towards the lower end, and there are some outliers on the higher end.

Given this distribution, the median would be a better measure of central tendency to describe the "average" score, as it is less sensitive to extreme values and outliers.

According to the values, the mode is 10 and the median is calculated as,

=> (4 + 10) / 2 = 40/2

=> 20.

In this case, the median would be the value that separates the middle 50% of the data from the top and bottom 25%.

Then the central tendency is calculated as,

=> (10 + 10 + 3 + 4) / 4

=> 27/4 = 6.75

The mean would be the middle value, which is 6.75.

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Complete Question:

You ask your friends how many times they went to the doctor so far this year and get these responses:

once or less - 10 people;

twice - 10 people;

three times - 3 people;

four or more times - 4 people.

which measure of central tendency (mean, median, or mode) would provide the best description of the average score.

The striped wall and the floor intersect at a 90 degrees angle since they are perpendicular.

An angle is formed when two or more lines intersect at a point. Types of angles are acute, obtuse, and right angled.

Two lines are said to be perpendicular if there is a 90 degrees angle between them.

The striped wall and the floor intersect at a 90 degrees angle since they are perpendicular.

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Hence, there are 725,760 ways to seat the ten people together in a row, taking into account the two individuals who insist on sitting side-by-side.

If two of the ten people insist on sitting side-by-side, we can consider them as a single entity or a pair. So, essentially, we have nine entities (including the pair) to be seated in a row.

The number of ways to arrange these nine entities in a row is 9!, which is the factorial of 9.

However, within the pair, the two individuals can be arranged in 2! = 2 ways.

Therefore, the total number of ways to seat the ten people together, considering the pair as one entity, is 9! * 2!.

Simplifying this expression:

9! * 2! = 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 * 2 = 725,760

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Answer:

4. 8(10x-8)

Step-by-step explanation:

An "equivalent expression" has the same value to that of the original expression.

Let's solve.

8(10x-8) = 80x-64

8x10x-(8x8) = 80x-64

80x-64 = 80x-64

This makes the answer correct.

Answer:  The correct answer is 83

Step-by-step explanation:

Complete the equations within each set of brackets

(71+9+3)-(9-11+2)

71+9+3 = 83

9-11+2 = 0

Subtract the results

83 - 0 = 83