Mark all the relative maximum points in the graph.
Just need to be sure I’m correct.

Answer:

m < 1,200

Step-by-step explanation:

250 - 130 = 120

120 / 0.10 = 1,200

Equation:   130+0.10m=250

Answer: 120

The value of the unknown number x is 8.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

The given numbers include:

The sum of the given numbers is calculated as follows:

\(2 + 4 + \text{x} + 6 = 12 + \text{x}\)

The mean of the given 4 numbers is calculated as follows:

\(\dfrac{12+\text{x}}{4} =5\)

\(12+\text{x}=20\)

\(\text{x}=20-12\)

\(\text{x}=8\)

Thus, the value of the unknown number x is 8.

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Answer:

Step-by-step explanation:

The outcomes of selecting one male student and one female student to read from a book are independent. This means that the outcome of selecting a male student does not affect the probability of selecting a female student, and vice versa. In other words, the events are unrelated and the occurrence of one event has no effect on the occurrence of the other event. Therefore, the two outcomes are not related to each other, and they are independent events.

The volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.

1.  y = 5x, y = 5x, x20; about the x-axis is (8π/75) cubic units.

2.  x = 2 V 3y, x = 0, y = 5; about the y-axis is  (125π/48) units³

3.  y = x-1, y = 0, x = 4; about the x-axis is (47π/3) cubic units.

4. y = x + 1, y = 0, x=0, x= 5; about the x-axis (200π/3) cubic units.

1. The given curves are y = 5x, y = 5x, x≥0. To rotate the region bounded by these curves about the x-axis, we need to integrate the area of the cross-sections perpendicular to the x-axis. The cross-sections are disks with radius y/5 and thickness dx. Thus, the volume of the solid is:

V = ∫(0 to 2) π(y/5)² dx

= π/25 ∫(0 to 2) x² dx

= π/25 [x³/3] from 0 to 2

= (8π/75) units³

Therefore, the volume of the solid is (8π/75) cubic units.

2. The given curves are x = 2V3y, x = 0, y = 5. To rotate the region bounded by these curves about the y-axis, we need to integrate the area of the cross-sections perpendicular to the y-axis. The cross-sections are disks with radius x/2V3 and thickness dy. Thus, the volume of the solid is:

V = ∫(0 to 5) π(x/2V3)² dy

= π/12 ∫(0 to 5) y³ dy

= π/12 [y⁴/4] from 0 to 5

= (125π/48) units³

Therefore, the volume of the solid is (125π/48) cubic units.

3. The given curves are y = x-1, y = 0, x = 4. To rotate the region bounded by these curves about the x-axis, we need to integrate the area of the cross-sections perpendicular to the x-axis. The cross-sections are disks with radius y and thickness dx. Thus, the volume of the solid is:

V = ∫(0 to 4) πy² dx

= π ∫(0 to 4) (x-1)² dx

= π ∫(0 to 4) (x²-2x+1) dx

= π [(x³/3)-x²+x] from 0 to 4

= (47π/3) units³

Therefore, the volume of the solid is (47π/3) cubic units.

4. The given curves are y = x + 1, y = 0, x=0, x= 5. To rotate the region bounded by these curves about the x-axis, we need to integrate the area of the cross-sections perpendicular to the x-axis. The cross-sections are disks with radius y and thickness dx. Thus, the volume of the solid is:

V = ∫(0 to 5) πy² dx

= π ∫(0 to 5) (x+1)² dx

= π [(x³/3)+x²+2x] from 0 to 5

= (200π/3) units³

Therefore, the volume of the solid is (200π/3) cubic units.

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When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

To subtract 3 from 22, we can perform the subtraction operation as follows:

22

3

19

We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.

Therefore, the simplified answer is 19.

The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.

By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.

In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

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Answer:

1/2

Step-by-step explanation:

there are 13 cards in each type so

heart or diamond would mean either one so 13 +13=26

26/52

1/2

TOTAL NUMBER OF HEART CARDS= 13

TOTAL NUMBER OF DIAMOND CARDS= 13

PROBABILITY OF AN EVENT

= NUMBER OF FAVOURABLE OUTCOMES

TOTAL NUMBER OF POSSIBLE OUTCOMES

Probability of getting a heart card♥=13/52 =1/4

Probability of getting a DIAMOND card♦= 13/52 =1/4

Probability of getting a heart and a diamond card =26/52 =1/2

I hope you got it!!!...right!!

The standard error of the mean for a simple random sample of 100 observations, with a sample mean of 80 and a standard deviation of 12, is 1.20 (option a).

The standard error of the mean measures the precision or variability of the sample mean estimate. It is calculated by dividing the standard deviation of the population by the square root of the sample size.

Given that the sample mean is 80 and the standard deviation is 12, we can calculate the standard error of the mean as follows:

Standard Error of the Mean = Standard Deviation / Square Root of Sample Size

Standard Error of the Mean = 12 / √100 = 12 / 10 = 1.20

Therefore, the standard error of the mean for this sample is 1.20. This value indicates the average amount of variability or uncertainty we can expect in the sample mean compared to the population mean. It represents the precision of the sample mean estimate and is an important measure in inferential statistics for making inferences about the population based on the sample.

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The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

We have a rectangular storage container without a lid.

The formula of volume of the box is

V = l × w × h

Where

So, the height is

10 = 2w × w × h

10 = 2w² × h

h = 10/2w²

h = 5/w²

To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

A₁ = 2w × w = 2w² m²

The sides area is

A₂ = 2(2wh + wh)

A₂ = 2(3wh)

A₂ = 6wh

A₂ = 6w(5/w²)

A₂ = 30/w m²

The total cost is

C = $15(2w²) + $9(30/w)

C = $30w² + $270/w

The function of the total cost is

C(w) = 30w² + 270/w

Hence, the function of constructing the box is C(w) = 30w² + 270/w.

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Answer:

In a box-and-whisker plot, the box represents the middle 50% of the data, with the median value marked by a vertical line inside the box. The "whiskers" extend from the box to the minimum and maximum values in the data set that are not considered outliers. Outliers are marked by individual points outside the whiskers.

To determine the percentage of data values that are greater than a given value, we need to look at the box-and-whisker plot to see where that value falls in the data set. If the value is outside the box, we know that at least 50% of the data values are either greater or less than that value, depending on whether the value is greater or less than the median. If the value is inside the box, we know that exactly 50% of the data values are greater and 50% are less than that value.

In the case of the value 72, we cannot determine the percentage of data values that are greater than it without knowing where it falls in the box-and-whisker plot. If it falls outside the box, we only know that at least 50% of the data values are greater than it. If it falls inside the box, we only know that exactly 50% of the data values are greater than it.

Step-by-step explanation:

Answer: Hello! I'm JK!.....

\(\frac{13}{75}\)

Step-by-step explanation:

The range of the data is from 10 to 85.

\(\frac{85-72}{85-10}\)  = \(\frac{13}{75}\)

So your answer is \(\frac{13}{75}\)

I really hope this helps you.  XoXoGoldenMaknae<3

Answer:

Find the negative reciprocal of the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line perpendicular to y=3x−5. y=−13x−2

Step-by-step explanation:

Transfer of balance The interest rate for balance transfers to credit cards is expressed as an annual percentage rate, or APR. A starting balance is offered with some cards assume you have got poor credit .

The interest rate you pay on purchases when your credit card balance is still high is known as a purchase annual percentage rate (APR). A credit card's APR, which is applied each month, is an annualized percentage rate.

Transfer of balance The interest rate for balance transfers to credit cards is expressed as an annual percentage rate, or APR. A starting balance is offered with some cards assume you have got poor credit .

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Answer:

19.375

Step-by-step explanation:

Answer:

Answer 1 is He is taller by 19.375 inches and question 2 answer is 8.808 kilometres left .

Step-by-step explanation:

Answer:

y = -1

Step-by-step explanation:

-4 (y - 2) = 12

1. Multiply: -4y + 8 = 12

2. Subtract: -4y = 4

3. Divide: y = -1

Answer:

x = - 8, x = 6

Step-by-step explanation:

\( {x}^{2} + 2x - 48 = 0 \\ \\ {x}^{2} + 8x - 6x - 48 = 0 \\ \\ x(x + 8) - 6(x + 8) = 0 \\ \\ (x + 8)(x - 6) = 0 \\ \\ x + 8 = 0 \: \: or \: \: x - 6 = 0 \\ \\ x = - 8, \: \: \: \: x = 6 \\ \)

Answer:

34

Step-by-step explanation:

Answer:

Where are the statments

Step-by-step explanation:

Answer:

of course B

Step-by-step explanation:

it is equation of the second dgree

linear equation means x is first dgree (power of x should be 1)

so when you solve all of them by multiplying all of them you will find out that 3 of them will give you x with power 1 expect of B will give you x with power 2 which is parabola equation

Answer:

THIS ANSWER IS NOT SURE

1/6 Is what i get

Bye

Answer:

4.615

stays the same

Answer:

4.615

Step-by-step explanation:

Since 3 is less than 5 and above, we take 3 and round it down to 0.

And also don't show the 0

Answer:

$4.5

Step-by-step explanation:

1. $6 divided by 4 containers

2. $1.5 per container* 3 number of containers. $4.5

Answer:

The midpoint is ( 1,5)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

( -4+6)/2 = 2/2 =1

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

( -4+14)/2 = 10/2 =5

The midpoint is ( 1,5)

Answer:

There is sufficient statistical evidence to suggest that the US presidents are taller than the average American male

Step-by-step explanation:

The given parameters are;

The mean height of American Males, μ = 69.5 inches

The mean height of 43 male presidents, \(\overline x\) = 70.78

The standard deviation, s = 2.77 inches

The number of male presidents = 43

The null hypothesis; H₀ μ = \(\overline x\)

The alternative hypothesis; Hₐ μ ≠ \(\overline x\)

The significance level, α = 0.05

The t test for the sample with unknown population standard deviation is given as follows;

\(t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}\)

Therefore, we have;

\(t=\dfrac{70.78-69.5 }{\dfrac{2.77 }{\sqrt{43}}} \approx 3.0302\)

The degrees of freedom, df = n - 1 = 43 - 1 = 42

The critical 't' value = 2.0181

Therefore, given that the t test value is larger than the critical-t, we reject the null hypothesis, therefore, there is sufficient statistical evidence to suggest that the US presidents are taller than the average American male

the amount of work required to pump the water over the upper edge of the tank until the height of the water remaining in the tank is 4 meters is 8984201 Joules.

To calculate the amount of work required to pump the water over the upper edge of the tank until the height of the water remaining in the tank is 4 meters, use the equation
Work = Force x Distance.

The force required is the weight of the water that needs to be lifted, which is calculated as follows:
Weight of Water = Volume of Water x Weight Density
Here, the Volume of Water = 1/3πr2h

Weight of Water = (1/3πr2) x (h x Weight Density) = (1/3π(7)2) x ((10 - 4) x 9800) = 1497033.52 N

Distance = Height of Water = 10 - 4 = 6 m
Work = Force x Distance = 1497033.52 x 6 = 8984201.12 Joules

Therefore, the amount of work required to pump the water is 8984201.12 Joules, rounded to the nearest integer is 8984201 Joules.

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Answer:

i think its 17

Step-by-step explanation:

Answer:

y = 6

Step-by-step explanation:

Given the graph, we need to know that x is a vertical line while y is a horizontal line.

That being said, we also see that the horizontal line passes through 6 of y.

So if y is horizontal and the horizontal line passes through y of 6, our answer comes to be.

\([y = 6]\)

By solving a quadratic equation, we will see that the ball hits the ground after 2.6 seconds.

Here we need to solve the equation:

h(t) = 0 = -16t² + 40t + 4

This represents that the ball hits the ground.

So we just need to solve that quadratic equation, using the general formula we get:

\(t = \frac{-40 \pm \sqrt{(40)^2 - 4*4*(-16)} }{2*-16} \\\\t = \frac{-40 \pm 43.1 }{-32}\)

We only care for the positive solution, which is:

t = (-40 - 43.1)/-32 = 2.6s

So the ball hits the ground after 2.6 seconds.

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The number of edges that the prism has is

When a plane intersects a prism, the shape formed is known as the cross section. The cross section of the prism will have the same form as the base if it is divided by a plane that runs horizontally and parallel to the base.

A prism is a 3-dimensional object with two congruent and parallel bases (which are polyggonal) connected by rectangular lateral faces. The number of edges of a prism is equal to the sum of the number of edges of the two bases and the number of lateral faces.

Each base of the prism has n edges, so the two bases together have 2n edges. The number of lateral faces of the prism is equal to the number of edges of one of its bases, so there are n lateral faces. Each lateral face has 4 edges, so the total number of edges of the lateral faces is 4n.

Therefore, the total number of edges of the prism is equal to the sum of the number of edges of the two bases (2n) and the number of lateral faces (4n), which is 2n + 4n = 6n.

In conclusion, the cross section of a prism is an n-sided polygon and the prism has n + 2 edges.

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For the given two similar triangles the value of x is equal to 7 units.

Figure is attached.

In triangle ABC and DBE,

Measure of ∠ABC = Measure of ∠DBE

Measure of ∠ACB = Measure of ∠DEB

By AA,

ΔABC is similar to ΔACB with correspondence DBE ↔ ABC

In the triangle ABC,

Measure of side length AB = AD + DB

                                             = 6 + 8

                                             = 14

Measure of side length BC = 3x

In triangle DBE,

Measure of side length DB = 8

Measure of side length BE = 2x - 2

In similar triangle corresponding sides are in proportion

⇒ AB / DB = BC / BE

⇒14 / 8 = 3x / (2x -2 )

⇒14 ( 2x -2 ) = 3x (8 )

⇒ 28x - 28 = 24x

⇒ 28x - 24x = 28

⇒4x = 28

⇒ x = 7 units

Therefore, the value of x for the two similar triangles is 7 units.

The above question is incomplete , the complete question is :

The two triangles are similar. What is the value of x? Enter your answer in the box. x=square.

Figure attached.

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z_1 and z_2 are complex number;

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

To calculate z₁z₂ and z₁/z₂, we need to perform the complex number operations on z₁ and z₂. Let's break down the calculations step by step:

i) To find z₁z₂, we multiply the magnitudes and add the angles:

z₁z₂ = 4cos(cos(π/4) + isin(π/4)) * 2cos(2π/3) + isin(2π/3))

= 8cos((cos(π/4) + 2π/3) + isin((π/4) + 2π/3))

= 8cos(7π/12) + isin(7π/12)

ii) To find z₁/z₂, we divide the magnitudes and subtract the angles:

z₁/z₂ = (4cos(cos(π/4) + isin(π/4))) / (2cos(2π/3) + isin(2π/3))

= (4cos((cos(π/4) - 2π/3) + isin((π/4) - 2π/3))) / 2

= 2cos(π/12) + isin(π/12)

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

Please note that the given calculations are based on the provided complex numbers and their angles.

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The utility’s percent change from 2010 to 2020 is a decrease of 4.07%

How many years are between 2010 and 2020?

There are 10 years in between 2010 and the year 2020, which means that the total decline over a period of 10 years is the annual decrease multiplied by 10.

Total decrease in 10 years=2.6*10

Total decrease in 10 years=26.0

Utility industry jobs in 2020=639.5-26.0

Utility industry jobs in 2020=613.5

The percentage change 2010-2020=(2020 jobs/2010 jobs)-1

The percentage change 2010-2020=(613.5/639.5)-1

The percentage change 2010-2020=-4.07%

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