find the slope of P(-4,6),Q(2,5)

Given the equation of the revenue R:

We know that by charging x dollars for a certain computer, the owner can sell 40-x computers each week. Then, if x is the charge for a certain computer, the revenue is given by the product of the number of computers he sells and the charge of that computer.

The equation of the revenue received when the selling price of a computer is $x. To find the maximum revenue, we find the vertex form of the quadratic equation of the revenue. By completing squares:

Then, the maximum revenue is the y-coordinate of the vertex, that is:

25 degrees

35 degrees

55 degrees

Answer:

16%

Step-by-step explanation:

1) Mean, u = 100 

standard deviation, o = 15

Score specified = x = 115

so, z-score = (x - u)/o

                   = (115 - 100)/15 = 1

From the probability standard normal distribution curve, 84.13% of the test scores falls within 1 SD (z score = 1), so, the percentage of test scores below 115 is 84.13%, so, for the percentage of test scores of 115 or higher = 100% - 84.13% = 16%.

Therefore, the correct answer is 16%.

Answer:

54 MINUETS

Step-by-step explanation:

IM RIGHT;}

Answer:

There is one solution, x=2

Step-by-step explanation:

1/2x+6=4x-1

subtract 6 from both sides

1/2x=4x-7

subtract 4x from both sides

-7/2x=-7

multiply both sides by 2

-7x=-14

divide both sides by -7

x=2

The Moon is a natural satellite of the Earth and it takes approximately 27.3 days to complete one rotation around its own axis.

The day and night cycles on the Moon are longer than those on Earth.

The reason for this difference in the length of day and night cycles is due to the Moon's synchronous rotation means that it takes the same amount of time for the Moon to complete one rotation around its own axis as it takes to complete one orbit around the Earth.

The synchronous rotation of the Moon is a result of the gravitational forces between the Earth and the Moon.

These forces have caused the Moon's rotation to gradually slow down over time, until it became synchronized with its orbit around the Earth.

As a result, the same side of the Moon always faces the Earth and the other side is permanently hidden from view.

The longer day and night cycles on the Moon have important implications for the lunar environment.

The extreme temperature variations between the day and night sides of the Moon make it a challenging environment for human exploration.

The daytime temperatures on the Moon can reach up to 127°C (261°F), while the nighttime temperatures can drop to -173°C (-280°F).

The Moon's day and night cycles are longer than those on Earth due to its synchronous rotation with its orbit around the Earth.

This unique phenomenon has important implications for the lunar environment and presents challenges for human exploration of the Moon.

For similar questions on Moon

https://brainly.com/question/4208016

#SPJ11

Answer:

The range is -7 ≤ y ≤ 8

Step-by-step explanation:

The range is the full measurement of a graph on the y-axis.

I know this can be confusing at times as I had struggles with this in the past

Hopefully, this helps!

Answer:

216 different cakes are possible.

Step-by-step explanation:

Given that a bakery offers 4 different flavors of cake, 3 types of icing, 6 toppings, and 3 different sizes, if one option is chosen from each list, to determine how many different cakes are possible the following calculation must be performed:

4 x 3 x 6 x 3 = X

12 x 18 = X

216 = X

Therefore, 216 different cakes are possible.

Answer:I don't know

Step-by-step explanation:do the work

Answer:

none of the tables shown

Step-by-step explanation:

Inverse variation is

xy = k where k is the constant

xy = 4

in the top table

-2*2 = -4 so it cannot be the first table

In the middle table

-2 * -8 = 16  so it is not the middle table

In the bottom table

-2 *4 = -8 so it is not the bottom table

There must be a table not shown

Answer:

0.40=2/5

Step-by-step explanation:

There are 1716 ways a committee of six can be selected from among 13 people.

To find the number of ways to select a committee of six from 13 people, we can use the combination formula:

C(n, r) = n! / (r! * (n-r)!)

where n is the total number of people, r is the number of people in the committee, and ! means factorial (the product of all positive integers up to that number).

Plugging in our values:

C(13, 6) = 13! / (6! * (13-6)!)

C(13, 6) = 13! / (6! * 7!)

C(13, 6) = 1716

Therefore, there are 1716 ways to select a committee of six from among 13 people.

To know more about factorial click here:

https://brainly.com/question/25505833

#SPJ11

To find the directional derivative of the function f(x, y) = 3x^2 - y^2/4 at point P(9, 9) in the direction of the vector PQ.

We need to calculate the gradient of f at point P and then take the dot product with the unit vector in the direction of PQ. To find the directional derivative, we first calculate the gradient of the function f(x, y) = 3x^2 - y^2/4. The gradient of a function is a vector that points in the direction of the steepest ascent of the function at a given point. The gradient is computed by taking the partial derivatives of f with respect to x and y.

∂f/∂x = 6x

∂f/∂y = -y/2

Evaluating these partial derivatives at point P(9, 9), we have:

∂f/∂x = 6(9) = 54

∂f/∂y = -(9)/2 = -4.5

The gradient vector at point P is (54, -4.5). To find the directional derivative in the direction of PQ, we need to calculate the dot product between the gradient vector and the unit vector in the direction of PQ.

The vector PQ is given by PQ = Q - P = (8, 4) - (9, 9) = (-1, -5). To obtain the unit vector in the direction of PQ, we divide PQ by its magnitude:

||PQ|| = sqrt((-1)^2 + (-5)^2) = sqrt(26)

Therefore, the unit vector in the direction of PQ is (-1/sqrt(26), -5/sqrt(26)). Finally, we compute the directional derivative by taking the dot product between the gradient vector and the unit vector in the direction of PQ:

Directional derivative = (54, -4.5) · (-1/sqrt(26), -5/sqrt(26))

= -54/sqrt(26) - 4.5(-5/sqrt(26))

= -54/sqrt(26) + 22.5/sqrt(26)

= (-54 + 22.5)/sqrt(26)

= -31.5/sqrt(26)

Hence, the directional derivative of the function f(x, y) = 3x^2 - y^2/4 at point P(9, 9) in the direction of PQ is -31.5/sqrt(26).

To learn more about directional derivative click here:

brainly.com/question/29451547

#SPJ11

The radius of the cylindrical shaped soup can is r = 3.3 cm

Given data ,

A company is designing a soup can that is in the shape of a right circular cylinder. The height of the can will be 3 times the radius of the can. The volume of the can will be 350 cubic centimeters

Now , Volume of Cylinder = πr²h

where h = 3r

On simplifying , we get

350 = πr²3r

350 = 3πr³

Divide by 3π on both sides , we get

r³ = 37.13615

Taking cube root on both sides , we get

r = 3.3 cm

Hence , the radius of soup can is r = 3.3 cm

To learn more about cylinder click :

https://brainly.com/question/16134180

#SPJ1

Answer:

1:5

Step-by-step explanation:

Every student who brings lunch to  school, there are 5 students who eat  the school lunch; 1:5 would be the answer, because of the wording in the question. "Every student who brings lunch to  school" meaning 1, and " 5 students who eat  the school lunch" meaning 5 people who don't bring their own lunch. So eventually it will bring down to 1:5 as the ratio.

I hope this helped, sorry it repeats alot -.-

Answer:

1:5

Step-by-step explanation:

hope this helps!

havs a good day :)

fndndndncxnxnxhddjdjdj

There is no significant evidence that more than two-thirds (67%) of authors support continuing this system.

This hypothesis is either rejected or accepted, depending on whether the population or sample under investigation is viable.

In other words, the null hypothesis is an assertion that the sample observations are the result of chance. It is asserted that surveyors who are interested in the data have made this allegation. It has the prefix H0.

Let p be the proportion of authors who support continuing the system.

Then hypotheses are:

H0: p=0.67

Ha: p>0.67

For calculating the test statistic:

z = p(s)-p/√ [p0(1-p)/N]

where, p(s) = 72/104 ≈ 0.692, p is 0.67 and N is the sample size =104

Then Z ≈ 0.477

The test statistic's p-value is 0.317.

Since 0.317>0.05 and we're assuming a significance level of 0.05, we are unable to reject the null hypothesis.

p-value 0.317 is the likelihood that the sample is chosen from the distribution assumed under null hypothesis, that is where the fraction of authors favouring the new publication scheme is at most 0.67.

To know more about null hypothesis, visit:

https://brainly.com/question/28920252

#SPJ1

The probability of drawing a red marble from the jar is 5/11 and the probability of drawing a blue marble from the jar is 6/11.

There are 22 marbles in the jar in total, 10 of which are red and 12 of which are blue. To find the probability of drawing a red marble, we can use the formula for probability:

Probability = Number of favorable outcomes / Total number of outcomes

In this case, the number of favorable outcomes is 10 (the number of red marbles), and the total number of outcomes is 22 (the total number of marbles in the jar). Plugging these values into the formula, we get:

Probability of drawing a red marble = 10/22

This fraction can be reduced to 5/11 by dividing both the numerator and denominator by 2. So, the probability of drawing a red marble from the jar is 5/11.

To find the probability of drawing a blue marble, we can use the same formula:

Probability = Number of favorable outcomes / Total number of outcomes

In this case, the number of favorable outcomes is 12 (the number of blue marbles), and the total number of outcomes is 22 (the total number of marbles in the jar). Plugging these values into the formula, we get:

Probability of drawing a blue marble = 12/22

This fraction can also be reduced to 6/11 by dividing both the numerator and denominator by 2. So, the probability of drawing a blue marble from the jar is 6/11.

To know more about probability visit :

brainly.com/question/30034780?referrer=searchResults

#SPJ4

\(( \frac{3}{5} ){}^{2} + 4 \times 3 - 2\)

\( \frac{9}{25} {}^{} + 12- 2\)

\( \frac{9}{25} {}^{} + 10\)

\( \frac{9 + 10(25)}{25} \)

\( \frac{9 + 250}{25} \)

\( \frac{259}{25} \)

The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.

To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.

The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.

By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.

Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.

Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.

for similar questions on  range of the function.

https://brainly.com/question/29017978

#SPJ8

Answer:

option (4)

Step-by-step explanation:

The general form of a quadratic function is given by :

\(f (x) = ax^ 2 + bx + c\)

Where a,b and c are real numbers and a is nonzero.

Option (1)

\(f (x) = 3x^ 2 + 12x + 5\)

It is a quadratic function. Here, a = 3, b = 12 and c = 5

Option (2),

\(f (x) = x^ 2 + x + 1\)

It is a quadratic function where a = 1, b = 1 and c =1

Option (3),

\(f(x)=5x^ 2 + 8x\)

It can also be written as :

\(f(x)=5x^ 2 + 8x+0\)

It is a quadratic function where a = 5, b = 8 and c = 0

Option (4),

It can also be written as :

f(x) = 5x + 3

It is a linear function. It is not a quadratic function.

Hence, option (4) is the correct option. It is not a quadratic function.

1) The gravimetric moisture content of the soil at field capacity is approx 27.62%.

2) The dry bulk density of the sample is approximately 1.193 g/cm^3.

3) The porosity of the sample, as a percentage of the total volume, is approximately 54.96%.

1) The gravimetric moisture content of the soil at field capacity can be calculated using the following formula:

Gravimetric Moisture Content = ((Wet Weight - Dry Weight) / Dry Weight) * 100

Given:

Wet Weight = 274.1 g

Dry Weight = 214.7 g

Using the formula, we can substitute the values:

Gravimetric Moisture Content = ((274.1 - 214.7) / 214.7) * 100

Gravimetric Moisture Content = (59.4 / 214.7) * 100

Gravimetric Moisture Content ≈ 27.62%

The gravimetric moisture content of the soil at field capacity is approximately 27.62%.

The gravimetric moisture content represents the amount of water present in a given mass of soil. By subtracting the dry weight of the soil from the wet weight and dividing by the dry weight, we can determine the proportion of water in the sample. Multiplying by 100 gives the moisture content as a percentage.

1a. The dry bulk density of the sample can be calculated using the following formula:

Dry Bulk Density = Dry Weight / Sample Volume

Given:

Dry Weight = 214.7 g

Sample Volume = 180 cm^3

Substituting the values into the formula:

Dry Bulk Density = 214.7 g / 180 cm^3

Dry Bulk Density ≈ 1.193 g/cm^3

The dry bulk density of the sample is approximately 1.193 g/cm^3.

Dry bulk density refers to the mass of dry soil per unit volume. To calculate it, we divide the dry weight of the soil by the sample volume.

1b. The porosity of the sample can be calculated using the following formula:

Porosity = (1 - (Dry Bulk Density / Particle Density)) * 100

The particle density for soil is usually around 2.65 g/cm^3.

Given:

Dry Bulk Density = 1.193 g/cm^3

Particle Density = 2.65 g/cm^3

Substituting the values into the formula:

Porosity = (1 - (1.193 / 2.65)) * 100

Porosity ≈ 54.96%

The porosity of the sample, as a percentage of the total volume, is approximately 54.96%.

Porosity represents the void space within a soil sample. It is calculated by subtracting the ratio of the dry bulk density to the particle density from 1 and multiplying by 100 to get the percentage. In this case, the particle density of 2.65 g/cm^3 is a typical value for soil.

To know more about gravimetric moisture content, visit;

https://brainly.com/question/33657666
#SPJ11

Answer:  2x(x+1)

Step-by-step explanation:

F(x) + G(x) =2x^2+1+2x-1

                 =2x^2+2x

                =2x(x+1)

Answer:

6x

Step-by-step explanation:

i am not quite sure why you have provided H(x), and i am assuming f(x) = 2x * 2 + 1

with that into consideration we can simplify f(x)

f(x) = 2x*2+1

= 4x+1

question -> f(x) + g(x)

= (4x+1) + (2x -1)

1 and -1 can get cancelled and 4x + 2x = 6x

thus the answer is 6x

Answer:

Where is the graph tho?

Step-by-step explanation:

Answer: Dear friend my answer for this question is 86.

Step-by-step explanation:Let the two digits of two digit number be, 10s digit x and 1s digit y.

x + y = 14

x = 14 - y…..Eq..1

The nuber formed is 10x + y

If the number formed by reversing the digits is 18 less than the original number, what is the original number

On reversing the digit the number will be 10y + x

10y + x + 18 = (10x + y)

10y + x = 10x + y - 18

10y - y + x - 10x = - 18

9y - 9x = -18…Eq..2

Now substituting the value of x from Eq..1 to Eq..2

9y - 9 (14 - y) = - 18

9y - 126 + 9y = - 18

18y = 126 - 18

18y = 108

y = 108/18

y = 6

Thus 1s digit if the number is 6

Substituting the derived value of y in Eq..1 to derive value of x.

x = 14 - y

x = 14 - 6

x = 8

The 10s digit if two digit number is 8.

The original number formed is 86.

On reversing the digits, the number transform to 68, which is 18 less than original number

Answer the original number is 86.

Answer:

\(\frac{y}{4} - 3\)

\(\frac{y}{4} - 3 = 2\) -- when y = 20

Step-by-step explanation:

The quotient of y and 4 can be represented as:

\(\frac{y}{4}\)

3 is less the above expression is:

\(\frac{y}{4} - 3\)

So, the required expression is: \(\frac{y}{4} - 3\)

When y = 20, we have:

\(\frac{y}{4} - 3 = \frac{20}{4} - 3\)

\(\frac{y}{4} - 3 = 5 - 3\)

\(\frac{y}{4} - 3 = 2\)

Answer:

555

Step-by-step explanation:

edge test 100%

The volume of the ice cube is 35.937 mm^3

We know that for a cube of side length L, the volume is defined as:

V = L^3

Here, we do know that each side of our ice cube measures 3.3 mm, so we have:

L = 3.3mm

Then the volume of the cube is just:

V = (3.3 mm)^3 = 35.937 mm^3

We can conclude that the volume of the ice cube is 35.937 mm^3

If you want to learn more, you can read:

https://brainly.com/question/14075019

Answer:

Step-by-step explanation:

The rate of change is the ratio of Δy/Δx, where Δ means the difference between consecutive values.

We name it the slope:

Use two pairs of x and y values and find the slope:

Points are

Take 2nd and third points

\(\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(\\ \sf\longmapsto m=\dfrac{-84.6+85.8}{4-2}\)

\(\\ \sf\longmapsto m=\dfrac{1.2}{2}\)

\(\\ \sf\longmapsto m=0.6\)

We have:tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(7/2)

To prove the equation tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) without using a calculator, we can utilize the trigonometric properties and identities to simplify the expression.

Let's start by using the addition formula for the tangent function:

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A) * tan(B))

We can rewrite the given expression as:

tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2)

Using the addition formula, we can combine the first two terms:

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)((1/11 + 5/6) / (1 - (1/11)*(5/6)))

Simplifying further:

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)((11/66 + 55/66) / (1 - 5/66))

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)(66/66 / (61/66))

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)(1)

Using the same approach, we can combine the remaining terms:

tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)((1/3 + 1/2) / (1 - (1/3)*(1/2)))

tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)((5/6) / (3/2))

tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(5/9)

Now, we have:

tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(1) + tan^(-1)(5/9)

Using the addition formula again:

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)((1 + 5/9) / (1 - (1)*(5/9)))

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)((14/9) / (4/9))

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)(14/4)

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)(7/2)

For more such question on tan visit:

https://brainly.com/question/28587485

#SPJ8