how do i do this 0.7x = 1.8 − 0.4x

The slope of the given line is 40 mi/h.

How to find slope of the line in the graph?

The slope of a line is the ratio of rise to run. Hence, here are the steps to find slope from a graph.

Select any two random points on the graph of the line (preferably with integer coordinates).

Label them as A and B (in any order).

Calculate the "rise" from A to B. While going vertically from A to B, if we have to go

"up", then the rise is positive;

"down", then the rise is negative.

Calculate the "run" from A to B. While going horizontally from A to B, if we have to go

"right", then the run is positive;

"left", then the run is negative.

Now, use the formula: slope = rise/run.

According to the given question:

To calculate the slope of the line in given graph let point A be (5, 200) and point B (10, 400).

Run = 5

Rise = 200

Therefore, slope = rise/run = 200/5 = 40 mi/h

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If researchers report that the results from their study were significant, p < .05, this means that we would expect the results to occur by chance less than 5 times out of 100.

When researchers report that the results from their study were significant, p < .05, it means that we would expect the results to occur by chance less than 5 times out of 100. This threshold is commonly used in statistical hypothesis testing.

In statistical hypothesis testing, the p-value represents the probability of obtaining results as extreme as the observed results, assuming that the null hypothesis is true. If the p-value is less than the predetermined significance level of .05 (or 5%), it is considered statistically significant. This means that the observed results are unlikely to have occurred by chance alone, and there is evidence to support the alternative hypothesis.

Therefore, option D, "We would expect the results to occur by chance less than 5 times out of 100," is the correct interpretation of reporting significant results with p < .05.

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No, the function y=2sin(2x) is not a solution of the differential equation y'''-8y=0.

To determine whether a function is a solution to the differential equation, we have to first find the derivatives of the function. The derivatives of y=2sin(2x) are y'=4cos(2x), y''=-8sin(2x) and y'''= -16cos(2x).

Next, we have to substitute the derivatives of the given function into the differential equation. When we substitute the derivatives of y=2sin(2x) into the differential equation, we get -16cos(2x) - 8×2sin(2x) = 0. This is not equal to 0, so y=2sin(2x) is not a solution to the differential equation y'''-8y=0.

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The distance by pythagoras theorum of the boat from the sea is 37.8m.

The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean between the three sides of a right triangle. This state that the area of the square whose side is the hypotenuse is equal to the sum of the Area of the squares on the other two sides.

|AC|^2 = |AB|^2 + |BC|^2    

We are given;

John turns 25 dgerees left to see boat

Distance of boat= 40m

He turns left by 8 degrees to see doo

Distance of doo= 13m

Now,

40^2= B^2 + 13^2

1600= B^2 + 169

B^2= 1431

B=37.8

Therefore, by pythagoras theorum the distance will be 37.8m.

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A sample in which each individual in the population has an equal chance to be selected is a "simple random sampling".

A subset of such a statistical population called a simple random sample is one where each member has an equal chance of being chosen. A straightforward random sample is intended to offer an objective depiction of a group.

Some key features of simple random sampling are-

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Answer:

yes

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Answer: Understand that a relationship between two variables, x and y, is proportional if it can be expressed in the form y/x=k or y=kx.

Answer: y = 3

Step-by-step explanation:

14/y - 2/3 = 4

14/y = 4 + 2/3

14y = 14/3

y = 3

Answer:

Every morning, I get up and wash my face. Then I sit at my desk and I write. It can be anything. To your future self who will hopefully never read it, a letter to someone you like or don't like regardless of whether you give it to them. Maybe write about what you're feeling in the moments between waking up and sitting down. Don't stop writing until you've emptied your head and put it all on paper.

I don't remember where I learned this but it was called Morning Pages. Some call it Mourning Pages because you're saying goodbye to yesterday and looking forward to the day coming.

Was that what you were looking for??? Or???

Answer:

0%

Step-by-step explanation:

There are 4 navy shirts.

There are 12 red shirts.

The rest are white.

That means there isn't any green shirts.

Answer:

(6/2)² = 3² = 9

6²/2² = 36/4 = 9

Answer:

9

Step-by-step explanation:

6/2 is 3

squaring three we get 3 to  the power of two or 3x3

3x3=9

3 squared is 9

Answer:

2 slices per person.

Step-by-step explanation:

The type of energy transfer that Leana is seeing as a result of steam rising is radiation.

Radiation is:

The steam rising from the tea is energy and it shows energy moving from the tea to the air. There is space between the tea and the air which means that it is radiation that the energy transfer is using as a conduit.

In conclusion, this statement describes radiation.

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Answer:

there are 4 sides to the given data I can conclude that CD is 6 cm as the figure seems to be a rectangle as AB is the breadth and AC is the length.

Step-by-step explanation:

hope it helps

Answer:

3 1/2  miles each practice

Step-by-step explanation:

Answer:

3 1/2

Step-by-step explanation:

Answer:

The only methods allowed are

-  "Subtract equation 2 from equation 1,"  and "Multiply equation 1 by 2. Then add the new equation to equation 2"

-

Step-by-step explanation:

Subtract Eq 2 from Eq 1:

3x-2y=7

-3x-4y=-17

-6y = -10

y = (5/3)

Use y =(5/3) to solve for x in both equations.

x=(31/9)

Subtract the left side of equation 2 from the left side of equation  No, this is not a legal operation.  

Multiply equation 1 by 2. Then add the new equation to equation 2  Yes, this works.  Instead of solving for y first, this method solves for x, which can then be used to find y:

2(3x-2y=7)

  6x-4y=14

  3x+4y=17    

   9x = 31    (y is eliminated)

x = (31/9)

Now use this to find y in either equation:

3x-2y=7

3x-2(31/9)=7

y = (5/3)

The cost of the company and the profit functions indicates;

Part A; The profit, P(x) = -0.5·x² + 40·x - 300

Part B; x = 20 and x = 60

Part C; The company can impossibly make a profit of $15,000

The profit is the difference between the revenue and the cost of the goods and services sold by the company.

Part A; The cost, C(x) = 40·x + 300

The revenue function is; R(x) = 80·x - 0.5·x²

(Therefore, the profit, P(x) = R(x) - C(x)

P(x) = 80·x - 5·x² - (40·x + 300) = -0.5·x² + 40·x - 300

P(x) = -0.5·x² + 40·x - 300

Part B; When the profit, P(x) = 300, we get;

P(x) = -0.5·x² + 40·x - 300 = 300

-0.5·x² + 40·x - 300 - 300 = 0

-0.5·x² + 40·x - 600 = 0

x² - 80·x + 1200 = 0

(x - 20) × (x - 60) = 0

x = 20, and x = 60

The values of x at which the profit will be $300 are x = 20, and x = 60

Part C; When the profit is $1,500, we get;

P(x) = -0.5·x² + 40·x - 300 = 1,500

-0.5·x² + 40·x - 300 = 1,500

-0.5·x² + 40·x - 1,800 = 0

x² - 80·x + 3,600 = 0

The discriminant indicates that we get;

D = (-80)² - 4 × 1 × 3,600) = -8000

The discriminant is -8,000, therefore, there are no real result, and the company can not make a profit of $15,000

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Not direct answer but

this is how I think

radius = 4 so AC is also 4

You can find with this

2π ( 4 ) ( 51°/360°) = Answer

Actually I am lazy to calculate (◔‿◔)

Answer:

150 inches

Step-by-step explanation:

Using 3 for pie, PIE x D= C

3 x 25= 75

for two roatations you multiply 75 times 2 and you get...

150

Answer:

D. \(\frac{(x-7)^2}{8^2} -\frac{(y-2)^2}{7^2}\)

Step-by-step explanation:

hope this helps

Answer:  D has the largest perimeter

Step-by-step explanation:

The top numbers of fractions describe the vertex and  the bottom number square rooted tells you how long each or wide each part of the asymptote rectangle is.

A.

P = 2(11) + 2(3)

P = 22+6

P=28

B.

P = 2(4) + 2(9)

p = 8 +18

P = 26

C.

P = 2(5) + 2(9)

P = 10 +18

P = 28

D.

P =  2(8) + 2(7)

P = 16 +14

P = 30

Answer:

P(Red) = \(\frac{12}{50}\) = \(\frac{6}{25}\)

P(not green)

= 1 - \(\frac{8}{50}\)

= \(\frac{21}{25}\)

P(Blue or yellow)

= P(Blue) + P(Yellow)

= \(\frac{7}{50}\) + \(\frac{9}{50}\)

= \(\frac{8}{25}\)

The average value of the function f(x)=x/2 over the interval [0,6] is 3. This can be found directly by using the formula for the average value of a function, which is: average value = 1/(b-a)∫baf(x)dx

In this case, we have:

average value = 1/(6-0)∫06(x/2)dx = 1/6∫06xdx = 1/6(3^2-0^2) = 1/6*9 = 3

The average value of a function tells us what the value of the function would be if it were constant over the given interval. In this case, the average value of 3 means that if the function were constant over the interval [0,6], its value would be 3 at every point in the interval. This is not actually possible, since the function is increasing over the interval, but the average value gives us a way to think about the average behavior of the function over the interval.

The graph of the function f(x)=x/2 is a line that increases from 0 to 3 over the interval [0,6]. The average value of 3 tells us that the line would be horizontal if it were constant over the interval. This means that the average value of the function is the height of the line at the midpoint of the interval, which is at x=3.

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Answer:

a) 15.52mm

b) 25.8275mm

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, or the area to the left side of the curve. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, that is, the area to the right side of the curve.

A) What wing-span has an area of 0.1005 on it left side under the standard normal curve?

This is X when Z has a pvalue of 0.1005. So it is X when Z = -1.28.

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.28 = \frac{X - 20}{3.5}\)

\(X - 20 = -1.28*3.5\)

\(X = 15.52\)

This wing-span is 15.52mm.

B) What wing-span has an area of 0.0480 on it right side under the standard normal curve?

This is X when Z has a pvalue of 1 - 0.0480 = 0.9520. So this is X when Z = 1.665.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.665 = \frac{X - 20}{3.5}\)

\(X - 20 = 1.665*3.5\)

\(X = 25.8275\)

This wing-span is 25.8275mm.

The reliability of the given system is 0.4033.

To calculate the reliability of a system, we need to multiply the reliability values of all the components in the system. In this case, we have a system composed of three components with the following reliability values:

Component 1: 0.90

Component 2: 0.90 0.90 0.85

Component 3: 0.85 0.85 0.92

To find the overall system reliability, we multiply these values together:

System reliability = Component 1 reliability x Component 2 reliability x Component 3 reliability

System reliability = 0.90 x (0.90 x 0.90 x 0.85) x (0.85 x 0.85 *x 0.92)

System reliability ≈ 0.90 x 0.6831 x 0.6528 ≈ 0.4033

Therefore, the reliability of the given system is 0.4033.

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The probability to answer 5 questions correctly from 14 true or false questions is 0.1222

The given situation represents a binomial experiment, where there are only two possible outcomes for each trial: success (answering correctly) and failure (answering incorrectly). To find the probability of a particular number of successes, we use the binomial probability formula:

P(x)= nCx × p^x × q^(n-x)

Where, n is the total number of trials, p is the probability of success on each trial, q is the probability of failure on each trial (1-p), and x is the number of successes desired.

n = 14 (total number of questions)

p = 1/2 (probability of answering correctly when guessing randomly), and q = 1/2 (probability of answering incorrectly when guessing randomly).

To find P(5), we substitute these values in the formula

P(5) = 14C5 * (1/2)^5 * (1/2)^9= 2002 * (1/32) * (1/512)= 2002 / 16384≈ 0.1222

Therefore, the answer is option D, 0.1222.

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This value of v into the formula for centripetal acceleration, we have:14.7 = (2πr/45)2Solving for r, we get:r = 77 meters (rounded to the nearest whole number). Therefore, the radius of the loop is 77 meters.

A loop is created by having an airplane follow a circular path in a vertical plane. This means that the acrobatic plane has centripetal acceleration, which is directed towards the center of the circular path. The acceleration depends on the speed of the plane, the mass of the plane, and the radius of the circular path. The acceleration can be calculated using the formula a = v2/r where v is the velocity and r is the radius of the circular path.

The given centripetal acceleration, a = 14.7 m/s2, is equal to v2/r. The velocity of the plane is not given, but we can use the fact that the pilot takes 45 seconds to complete the loop to find the velocity. During the loop, the plane travels a distance equal to the circumference of the circular path.

Therefore, the velocity of the plane is given by the formula v = 2πr/t where t is the time taken to complete one loop, which is 45 seconds.

Substituting this value of v into the formula for centripetal acceleration, we have:14.7 = (2πr/45)2Solving for r, we get:r = 77 meters (rounded to the nearest whole number) Therefore, the radius of the loop is 77 meters.

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