Y = .6x + 12 What are four coordinates on the graph?
thanks!

Answer:3.0%

Step-by-step explanation:

Answer:

3%

Step-by-step explanation:

The point- slope form of the line is y-5 = -0.25(x+6).

What is line?

A line is an one-dimensional figure. It has length but no width. A line can be made of a set of points which is extended in opposite directions to infinity. There are straight line, horizontal, vertical lines or may be parallel lines perpendicular lines etc.

A line with a slope of –1/4 passes through the point (–6,5)

Any line in point - slope form can be written as

y - y₁= m(x -x₁) -------(1)

where,

y= y coordinate of second point

y₁ = y coordinate of first point

m= slope of the line

x= x coordinate of second point

x₁ = x coordinate of first point

In the given problem (x₁ , y₁) = (-6,5) and m= -1/4

Putting all these values in equation (1) we get,

y-5= (-1/4) (x- (-6))

⇒ y-5 = -0.25(x+6)

Hence, the point- slope form of the line is y-5 = -0.25(x+6).

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To calculate the z-score corresponding to a given book length, we can use the formula: z = (x - μ) / σ

where:

x is the given book length,

μ is the mean length of the books (450 pages),

σ is the standard deviation of the book lengths (100 pages), and

z is the z-score.

Let's calculate the z-scores for each of the given book lengths:

a. For 180 pages:

z = (180 - 450) / 100 = -2.7

b. For 380 pages:

z = (380 - 450) / 100 = -0.7

c. For 515 pages:

z = (515 - 450) / 100 = 0.65

d. For 400 pages:

z = (400 - 450) / 100 = -0.5

e. For 640 pages:

z = (640 - 450) / 100 = 1.9

So the z-scores for the given book lengths are:

a. -2.7

b. -0.7

c. 0.65

d. -0.5

e. 1.9

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The divergence (div) of the vector field F is \(3ye^z + ze^x + (3ye^z + 2yze^x)e^y\) +\(e^{x} + 3x{e^{z} }\)  and curl V × F of the vector field F is given by\((ze^y - 3e^z, e^z - (3ye^z + 2yze^x)e^y, (3y - z - 1)e^x - 3xe^z).\)

To compute the divergence (div) and curl (curl) of the given vector field F = (3xy\(e^z\), yz\(e^z\), (3y\(e^z\) + \(2yze^x)e^y + (z+1)e^x + (3xy-4)e^z)\), we can use the standard formulas for divergence and curl.

Divergence (div):

The divergence of a vector field F = (P, Q, R) is given by div(F) = ∇ · F, where ∇ is the del operator (gradient operator) and · represents the dot product.

∇ · F = (∂/∂x, ∂/∂y, ∂/∂z) · \((3xye^z, yze^x, (3ye^z + 2yze^x)e^y + (z+1)e^x + (3xy-4)e^z)\)

= ∂/∂x\((3xye^z)\)+ ∂/∂y (yze^x) + ∂/∂z\(((3ye^z + 2yze^x)e^y + (z+1)e^x + (3xy-4)e^z)\)

Taking the partial derivatives and simplifying, we get:

∇ · F = \(3ye^z + ze^x + (3ye^z + 2yze^x)e^y + e^x + 3xe^z\)

Curl (curl):

The curl of a vector field F = (P, Q, R) is given by curl(F) = ∇ x F, where ∇ is the del operator (gradient operator) and x represents the cross product.

∇ x F = (∂/∂x, ∂/∂y, ∂/∂z) x\((3xye^z, yze^x, (3ye^z + 2yze^x)e^y + (z+1)e^x + (3xy-4)e^z)\)

= (∂/∂y(R) - ∂/∂z(Q), ∂/∂z(P) - ∂/∂x(R), ∂/∂x(Q) - ∂/∂y(P))

Taking the partial derivatives and simplifying, we get:

∇ x F =\((ze^y - 3e^z, e^z - (3ye^z + 2yze^x)e^y, (3y - z - 1)e^x - 3xe^z)\)

Therefore, the divergence (div) of the vector field F is \(3ye^z + ze^x + (3ye^z + 2yze^x)e^y + e^x + 3xe^z,\)and the curl (curl) of the vector field F is\((ze^y - 3e^z, e^z - (3ye^z + 2yze^x)e^y, (3y - z - 1)e^x - 3xe^z).\)

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Answer:

(c) Paul's model predicts a score of 51 for 3 hours

(d) 30 represents the y intercept

Step-by-step explanation:

Given

\(y = 7x + 30\)

Solving (c): What is y when x is 3

Substitute 3 for x in \(y = 7x + 30\)

\(y = 7*3 + 30\)

\(y = 21 + 30\)

\(y = 51\)

Solving (d): What does 30 represent

An equation is represented as:

\(y = mx + b\)

Where

\(b = y\ intercept\)

Compare: \(y = mx + b\) to \(y = 7x + 30\)

\(b = 30\)

This implies that 30 represents the y intercept

Answer:

Center (7,2) and radius = 10

Step-by-step explanation:

Generally, we have the equation of a circle as follows;

(x-a)^2 + (y-b)^2 = r^2

where (a,b) represents the circle center and r represents the radius of the circle

Looking at the given equation of a circle, we have it that the center is (7,2) while the radius of the circle is 10

Using the line of best fit, the correct statement that describes this result is given by:

D. The result is an outlier and there is no gap in the data.

The statements are missing, and are given as follows:

A. The result is not an outlier and there is a gap in the data.

B. The result is not an outlier and there is no gap in the data.

C. The result is an outlier and there is a gap in the data.

D. The result is an outlier and there is no gap in the data.

The line of best fit gives the expected exam score for a student that studies x hours. For example, for a student that studies 16 hours, the expected score is of 90.

The actual score is 61.4%, which is significantly less than the expected score, meaning that there is an outlier. However, there are no gaps in the data-set, as as the line considers students between 0 and 20 hours, and 16 is in this interval.

This means that option D is correct.

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Answer:

C

ON THE EDGE

Step-by-step explanation:

The finite population correction factor is used in computing the standard error of the sample mean when the sample size is smaller than 5% of the population size.

The finite population correction factor is a adjustment made to the standard error of the sample mean when the sample is taken from a finite population, rather than an infinite population.

It accounts for the fact that sampling without replacement affects the variability of the sample mean.

When the sample size is relatively large compared to the population size (more than half), the effect of sampling without replacement becomes negligible, and the finite population correction factor is not necessary.

In this case, the standard error of the sample mean can be estimated using the formula for sampling with replacement.

On the other hand, when the sample size is small relative to the population size (less than 5%), the effect of sampling without replacement becomes more pronounced, and the finite population correction factor should be applied.

This correction adjusts the standard error to account for the finite population size and provides a more accurate estimate of the variability of the sample mean.

Therefore, the correct answer is option 2: the finite population correction factor is used when the sample size is smaller than 5% of the population size.

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Taking a difference, we can see that the trip to city C is 482.6 mi longer.

Here we know that the distance from city a to city b is 256.8 miles, and the distance from city a to city c is 739.4 miles

To find how much farther is the trip to city c than the trip to city b, we just need to take the difference between the two distances above.

That means that we need to take the distance to city c and subtract the distance to city b.

We will get:

739.4 mi -  256.8 mi = 482.6 mi

The trip to city C is 482.6 mi more than the trip to city B.

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Answer:

goooooood luccckkkk.....

Answer:

$25 and 8 cents more

Step-by-step explanation:

55.50 - 30.50 = 25

18 - 10 = 8

Answer:

200 in all

Step-by-step explanation:

Answer:

Y:64

X:15

Hope this helps

pls give me brainliest

The acceleration vector is (0, 2 m/s²), the velocity vector is (8 m/s, 4 + 2t m/s), and the position vector is (8t m, (4t + t²) m).

Let's break down the problem into horizontal (x) and vertical (y) components. Since the ball is bouncing directly west, the initial velocity in the x-direction is 8 m/s, and there is no acceleration in this direction.

For the y-direction, we need to consider the angle of elevation and the wind's acceleration. The initial vertical velocity can be found by decomposing the initial velocity. Given that the angle of elevation is 30 degrees, the initial vertical velocity is 8 m/s * sin(30) = 4 m/s.

The acceleration in the y-direction is due to the wind and is given as 2 m/s², directed northward. Therefore, the acceleration vector is (0, 2).

To find the velocity vector, we integrate the acceleration vector with respect to time. The velocity vector is (8, 4 + 2t), where t represents time.

Finally, to determine where the ball lands, we need to find the time it takes for the ball to reach the ground. Since the ball is initially on the ground, the y-coordinate of the position vector will be zero when the ball lands. By setting the y-coordinate to zero and solving for time, we can find the time at which the ball lands. Once we have the time, we can substitute it back into the x-coordinate of the position vector to determine the landing position.

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The area under the standard normal curve between z1=−1.28 and z2=1.28 is approximately 0.8019 when rounded to four decimal places.

To find the area under the standard normal curve between z1 and z2, we can use the properties of the standard normal distribution. The area under the curve represents the probability of observing a random variable within a certain range.

1. First, we look up the z-scores corresponding to z1 and z2 in the standard normal distribution table. For z1=−1.28, the corresponding cumulative probability is 0.1003, and for z2=1.28, the corresponding cumulative probability is 0.8997.

2. To find the area between z1 and z2, we subtract the cumulative probability of z1 from the cumulative probability of z2: Area = 0.8997 - 0.1003 = 0.7994.

3. However, since the standard normal distribution is symmetric, the area to the left of z1 is the same as the area to the right of z2. So, we double the area calculated in step 2: Area = 2 * 0.7994 = 1.5988.

4. Finally, we subtract the area to the right of z2 from 1 to obtain the area between z1 and z2: Area = 1 - 0.8997 = 0.1003.

Therefore, the area under the standard normal curve between z1=−1.28 and z2=1.28 is approximately 0.8019 when rounded to four decimal places.

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The area under the standard normal curve between z=-1.28 and z=1.28 can be found by understanding that the standard normal distribution is symmetric around the mean. The frequent equivalent binary z-scores -1.28 and 1.28 can be looked up in the z-table. By adding these, we get the total area which is approximately 1.7994.

The question asks about finding the area under the standard normal curve between z1=−1.28 and z2=1.28. The standard normal curve or the z-distribution is a normal distribution with a mean of 0 and a standard deviation of 1. The total area under the curve is 1.

When you look up z=1.28 in the z-table, you will find the area under the curve to the left of 1.28 to be approximately 0.9, or more accurately, 0.8997 when rounded to four decimal places. But this is the area from the mean (z=0) to z=1.28 and we also need to find the area from z=-1.28 to the mean(z=0).

Due to the symmetric property of the normal distribution, the area to the left of -1.28 is also the same, 0.8997. Hence, the total area under the normal curve between -1.28 and 1.28 is 0.8997+0.8997=1.7994 when rounded to four decimal places.

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Answer:

a number made by squaring a whole number

Answer/Explanation:

The perfect squares are the squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 … The square root of a number, n, written. is the number that gives n when multiplied by itself. For example, because 10 x 10 = 100.

Answer:

The question isn't clear but i try to do for 7-(-1) solution only. 7-(-1) =8 mean that 7+1=8

Answer:

15/4 or 3 3/4 or 3.75

Step-by-step explanation:

We can split it up like 225 (square root) divided by 16 (square root). If you recall squares, you will know 225 square root is 15, and 16 square root is 4. So 15/4 is the answer, or if you want to simplify 3 3/4, and decimal will be 3.75.

2.67 pints of red paint to be added to the paint Mixer in order to achieve the desired 75% red and 25% yellow mixture.

The number of pints of red paint that need to be added to the paint mixer, we need to calculate the amount of paint in the mixer currently and find the difference between that amount and the desired 75% red mixture.

Currently, the paint mixer contains 4 pints of equal amounts of yellow and red paint. Since the yellow and red paint are in equal amounts, we can say that there are 2 pints of red paint in the mixer.

Now, let's calculate the amount of red paint required for the desired mixture. We want the final mixture to be 75% red, which means that 75% of the total mixture should be red.

the total mixture required is X pints. Since 75% of the mixture should be red, we have:

0.75X pints of red paint.

Since the current amount of red paint in the mixer is 2 pints, we can subtract this from the desired amount to find the additional pints of red paint needed:

0.75X - 2 pints.

We want the additional pints of red paint to equal 0, so we set up the equation:

0.75X - 2 = 0.

Solving this equation, we find:

0.75X = 2.

X = 2 / 0.75.

X ≈ 2.67.

Therefore, we need approximately 2.67 pints of red paint to be added to the paint mixer in order to achieve the desired 75% red and 25% yellow mixture.

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Answer:

it would be A-28.66

Step-by-step explanation:

just divide the total bill by the number of months.

Answer:

The apple question is b and the bill question is a

Step-by-step explanation:

for the apple question you multiply 1.89 by 2.4 and round to the nearest 10th

for the bill question you divide 85.98 by 3 which gives you 28.66

The graphs of the functions f(x) = 3e^(2x) and g(x) = 6x^3 have parallel tangent lines when their derivatives are equal. By taking the derivatives of f(x) and g(x) and setting them equal to each other, we can solve for the value of x at which this occurs.

To find the derivative of f(x), we apply the chain rule. The derivative of e⁽²ˣ⁾is 2e⁽²ˣ⁾, and multiplying it by the constant 3 gives us the derivative of f(x) as 6e⁽²ˣ⁾. For g(x), the derivative is obtained by applying the power rule, resulting in g'(x) = 18x².

To find the value of x at which the tangent lines are parallel, we equate the derivatives: 6e⁽²ˣ⁾ = 18x². Simplifying this equation, we divide both sides by 6 to obtain e⁽²ˣ⁾ = 3x². Taking the natural logarithm (ln) of both sides, we have 2x = ln(3x²).

Further simplifying, we get 2x = ln(3) + 2ln(x). Rearranging the terms, we have 2ln(x) - 2x = ln(3). This equation does not have a straightforward algebraic solution, so we would typically use numerical or graphical methods to approximate the value of x.

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Answer:

y = -4x + 4

Step-by-step explanation:

y = (1/4)x - 1

m = (1/4)

Slope of the line perpendicular to this line = -1/m = -1 ÷ (1/4)

                                                                      \(= (-1)*\frac{4}{1}\\\\=-4\)

(3 , -8)

y - y1 =m(x -x1)

y -[-8] = -4(x - 3)

y + 8 = -4x + 12

    y = -4x + 12 - 8

    y = -4x + 4

Answer:

$29, that is the answer for this question

Answer:

4,5,6 are the three consecutive numbers. 16, 25 and 36 are their squares.

Step-by-step explanation:

Let the three consecutive numbers be x, (x+1), (x+2)

Now, the squares of these three numbers are  \(x^{2} ,(x+1)^{2} ,(x+2)^{2}\)

Sum = 77

∴by the problem ,

\(x^{2} +(x+1)^{2}+(x+2)^{2} = 77\\x^{2} +(x^{2} +2x+1)+(x^{2}+4x +4) = 77\\x^{2} +x^{2} +2x+1+x^{2} +4x +4 = 77\\3x^{2} +6x+5 = 77\\3x^{2} +6x = 77-5\\3x^{2} + 6x = 72\\3x^{2} +6x-72= 0\\\)

{Taking 3 common }

\(x^{2} +2x- 24 = 0\\\)

{By factorization}

\(x^{2} +2x- 24 =0\\ x^{2} +6x-4x-24=0\\x(x+6)-4(x+6)=0\\(x+6)(x-4)=0\\\)

Therfore,

\(x= -6,4\\\)

X can't be negetive

∴ \(x =4\\x+1=5\\x+2=6\)

The squares of the three consecutive numbers are 16, 25, 36

The three consecutive numbers whose sum is 77 are 4, 5, 6

Answer:

Step-by-step explanation:

Step-by-step explanation:

2x-1/y=w+2/2z

2x-1x2z=w+2xy

4xz-1=wy+2

4xz-1-2=wy

4xz/y-2=w

w=4xz/y-2

The solution of the expression is w = (4xz - 2z)/y - 2 which is the correct answer would be option (B)

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

Arithmetic operations can also be specified by the addition, subtracting, dividing, and multiplying built-in functions.

Given expression (2x-1)/y = (w+2)/2z

To determine the solution of (2x-1)/y = (w+2)/2z for w

⇒ (2x-1)/y = (w+2)/2z

Apply cross multiplication in the expression

⇒ (2x-1)×2z = (w+2)×y

We have to open the bracket above

⇒ 4xz - 2z = (w+2)×y

Divided by y both the side

⇒ (4xz - 2z)/y = w + 2

⇒ (4xz - 2z)/y - 2 = w

⇒ w = (4xz - 2z)/y - 2

Hence, the solution of the expression is w = (4xz - 2z)/y - 2

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Answer:

Step-by-step explanation:

−48−(−6)−45

=−42−45

=−87

Answer:

-87

Step-by-step explanation: