How many posts does it take to support a straight fence 300 feet long if a post is placed every 25 feet?

Answer:

80 Cubic Units

Step-by-step explanation:

5 x 4 = 20

20 x 4 = 80

Hope it helps :)

80 unites because 5 x 4 = 20 and 20 x 4 = 80

The absolute and local extreme values of the given function f(x) = x^3 - 2x^(2/3) on the interval [−8, 8] is 11.79.

To find the absolute extrema and local extrema of a function on a closed interval, we need to evaluate the function at the critical points and the endpoints of the interval.
First, we need to find the derivative of the function:

f'(x) = 3x^2 - (4/3)x^(-1/3)

Setting f'(x) equal to zero, we get:

3x^2 - (4/3)x^(-1/3) = 0

Multiplying both sides by 3x^(1/3), we get:

9x^(5/3) - 4 = 0

Solving for x, we get:

x = (4/9)^(3/5) ≈ 0.733

Next, we need to evaluate f(x) at the critical point and the endpoints of the interval:

f(-8) ≈ -410.38
f(8) ≈ 410.38
f(0.733) ≈ 11.79

Therefore, the absolute maximum value of f(x) on the interval [-8, 8] is approximately 410.38, and it occurs at x = 8. The absolute minimum value of f(x) on the interval is approximately -410.38, and it occurs at x = -8.

To find the local extrema, we need to evaluate the second derivative of the function:

f''(x) = 6x + (4/9)x^(-4/3)

At the critical point x = 0.733, we have:

f''(0.733) ≈ 7.28

Since f''(0.733) is positive, this means that f(x) has a local minimum at x = 0.733.

Therefore, the local minimum value of f(x) on the interval [-8, 8] is approximately 11.79, and it occurs at x = 0.733.

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Answer:

-15, 9

Step-by-step explanation:

Substituting into the distance formula,

\(\sqrt{(6-3)^2+(-1-3)^2+(-3-z)^2}=13 \\ \\ \sqrt{25+(3+z)^2}=13 \\ \\ 25+(3+z)^2=169 \\ \\ (3+z)^2=144 \\ \\ 3+z=\pm 12 \\ \\ z=-3 \pm 12 \\ \\ z=-15, 9\)

Answer:

there are 5 sections

Step-by-step explanation:

and how you want us to help?:))

The scientific notation of the given expression (7*10^{-6})(7*10^{-6}) will be 4.9 * 10^{-11}.

As per the question statement, we are supposed to find the scientific notation of the given expression (7*10^{-6})(7*10^{-6}).

Let x = (7*10^{-6})(7*10^{-6})

x = (7*7)(10^{-6})(10^{-6})

x = 49 * 10^{-6-6}

x = 49 * 10^{-12}

x = 4.9 * 10^{-11}

Hence, the scientific notation of the given expression (7*10^{-6})(7*10^{-6}) will be 4.9 * 10^{-11}.

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An airship propelled by some mechanical device travels five miles in ten minutes in the direction of the wind, but requires one hour to go back again to the starting point against the same wind. How long would it have taken to go the whole ten miles in a calm day without any wind? Hint: You don't have to use equations to solve this problem.

we have that

5 miles -------> 10 minutes (direction of the wind)

5 miles ------> 1 hour (against the same wind)

therefore

10 miles ------> ? (without any wind)

so

Let

x -----> speed of the wind

y -----> speed of the airship

direction of the wind

speed=d/t ------> 5/10=0.5 miles per min

against the same wind

speed=5/60=1/12 miles per min

so

x+y=0.5 ------> x=0.5-y -----> equation 1

y-x=1/12 -----> equation 2

solve the system

substitute equation 1 in equation 2

y-(0.5-y)=1/12

2y=(1/12)+1/2

2y=7/12

y=7/24=0.2917 miles per min

Find the value of x

x=(1/2)-7/24

x=5/24=0.2083 miles per min

therefore

10 miles without any wind

speed=d/t ------> t=d/speed

t=10/(7/24)

Answer:

2:4

3:6

4:8

Step-by-step explanation:

Step-by-step explanation:

here is your answer hope you will enjoy and mark me as brainlist

thank you

The answer is what you got

cubiccubicquarticquarticquinticquinticquadraticquadraticlinearlinearmonomialmonomialmonomialbinomialbinomialbinomialtrinomialtrinomial

Answer:

Step-by-step explanation:

We solve an equation for a specific variable by using inverse operations to undo what is done to the variable. The resulting function is evaluated by substituting the given value for the variable.

__

We are given the equation ...

  6x -3y = 2

Solving for y, we get ...

  6x -2 = 3y . . . . . add 3y-2 to both sides

  2x -2/3 = y . . . . . divide by 3

  f(x) = 2x -2/3 . . . . write using functional notation

__

To find f(3), we use x=3 in the function.

  f(3) = 2(3) -2/3 = 6 -2/3

  f(3) = 5 1/3

The degree of freedom, df value for the chi-square statistic is 3.

In this question,

The chi-square goodness of fit test evaluates whether proportions of categorical or discrete outcomes in a sample follow a population distribution with hypothesized proportions. As a hypothesis test, the chi-square goodness of fit test allows you to use your sample to draw conclusions about an entire population.

Here,

Sample, n = 100

Number of categories, the sample is divided = 4

df is the degrees of freedom.

If there is a K category in the dataset and we want to apply chi-square goodness of fit test. Then, their degree of freedom df will be of k-1.

Thus, degree of freedom, df = k - 1

⇒ df = 4 - 1

⇒ df = 3

Hence we can conclude that the degree of freedom, df value for the chi-square statistic is 3.

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Answer:

x = 5

Step-by-step explanation:

Based on the tangent theorem, tangents drawn from an external point of a circle are equal.

This means:

4x - 1 = 2x + 9

Collect like terms

4x - 2x = 1 + 9

2x = 10

Divide both sides by 2

2x/2 = 10/2

x = 5

The possible temperatures for the north will be 4 degrees and 6 degrees. The correct option is D and E.

Mathematical statements with at least two terms connected by an operator and containing either numbers, variables, or both are referred to as expressions.

The direction that heat energy will spontaneously flow depends on temperature. Temperature is the degree to which a body is hot or cold. because it was mentioned that the north can occasionally experience temperatures below 3 degrees. D and E are the appropriate choices

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Answer:

sec²x - tan²x = 1

sin²x + cos²x = 1

These two among the following are correct trigonometric identities.

The correct trigonometric identities are, tan²x - sec²x = 1 and

sin²x + cos²x = 1.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

We know, 1 + tan²x = sec²x.

Performing arithmetic operations we can also have,

tan²x - sec²x = 1.

sin²x + cos²x = 1 is quite common.

sin²x + cos²x = 1.

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Check the images for steps.

Therefore, the large jar costs less per gram as it is only 0.0035 compared to the small one which is 0.0037 per gram.

Thus, the large jar is the best value for money.

Answer:

Option D. \(5989.5\pi\) \(cm^3\)

Step-by-step explanation:

Equation for Volume of a sphere

\(V = \frac{4}{3} \pi r^3\)

The question says to leave your volume on \(\pi\) form, meaning don't use 3.14 or any number to represent pi. Your answer should be (some number) * pi in cubic centimeters.

\(V = \frac{4}{3} \pi (16.5)^3\\V = (4492.125)(\frac{4}{3} )\pi \\\\V = 5989.5\pi\)

So the correct answer is Option D, \(5989.5\pi\) \(cm^3\).

There were 5.15 cups of flour before Miranda made biscuits. If A bag contains x cups of flour Miranda used 3.25 cups of flour to make biscuits the bag now contains 1.90 cups of flour.

Combining things and counting them as one big group is done through addition. In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation. The combination of at least two numbers constitutes basic addition. Once a student has mastered counting, they can begin to study basic addition. By locating the addend at the top of the chart and tracing down to the row of the second addend, they can utilize an addition chart as a learning tool.

Given

A bag contains x cup of flour Miranda used 3.25 cups of flour to make biscuits the bag now contains 1.90 cups of flour,

Flour before Miranda made biscuits,

Adding,

3.25 + 1.90

5.15

There were 5.15 cups of flour before Miranda made biscuits.

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The complete question is:

"A bag contained x cups of flour. Miranda used 3.25 cups of flour to make biscuits. The bag now contains 1.90 cups of flour. How much flour was in the bag before Miranda made biscuits?

A) 1.711 cups

B) 1.35 cups

C) 5.15 cups

D) 6.175 cups"

Given:

A circle is centered on point B.

Points A, C and D lie on its circumference.

If \(m\angle ABC\) measures 40°.

To find:

The \(m\angle ADC\).

Solution:

Central angle theorem: According to this theorem, the central angle is equal to the twice of inscribed angle on the same intercepted arc.

In the given figure \(\angle ABC\) is the central angle and \(m\angle ADC\) is the inscribed angle on the same arc AC.

Using central angle theorem, we get

\(m\angle ABC=2m\angle ADC\)

\(40^\circ=2m\angle ADC\)

\(\dfrac{40^\circ}{2}=m\angle ADC\)

\(20^\circ=m\angle ADC\)

Therefore, the measure of angle ADC is 20°.

The volume of the pyramid is approximately 574,533.33 cubic meters.

To find the volume of a pyramid, you use the formula: V = (1/3) × base area × height, where B is the area of the base and h is the height of the pyramid.

Given that the side length of the square base is 140 m and the height is 91 m.

Since the base of the pyramid is a square with a side length of 140 m, we can find its area by multiplying the side lengths: B = 140m x 140m = 19,600 square meters.
By calculating this expression, you'll find the volume of the pyramid.

Now we can plug in the values for B and h into the formula: V = (1/3)(19,600 square meters)(91 meters) = 574,533.33 cubic meters.

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If Bryan attends 12 classes per month, each membership plan costs $56.

To find the number of classes per month where the two membership plans cost the same, we can set the total cost of each plan equal to each other and solve for x, the number of classes attended:

32 + 2x = 28 + 3x

x = 12

So if Bryan attends 12 classes per month, each membership plan costs:

Plan 1: $32 + ($2 x 12) = $56

Plan 2: $28 + ($3 x 12) = $56

Therefore, 12 classes per month is the number at which both membership plans cost the same total amount, and that amount is $56.

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Answer:

The original price is $40.00.

Step-by-step explanation:

I am not sure what that given equation is.

But here is the correct answer and steps.

The marked down price is 75% of the original price.

The final price is 90% of the marked down price.

Lets say

\(T\) = Final Price

\(O\) = Original Price

We can write

\(T=(0.75*O)*(0.9)\)

Multiply \(0.9\) by \(0.75\).

\(T=0.675*O\)

We are given the final price. Lets substitute 27.00 for \(T\).

\(27.00=0.675*O\)

Divide both sides of the equation by \(0.675\).

\(40.00=O\)

Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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The amount of medicine infused in 8 hours is 1000ml.

According to the statement

we have given that the medicine normal saline (ns) iv to infuse at 125 ml/hr.

and we have to find the total amount of medicine infuse in the 8 hours in the whole number value.

So,

An infusion is the creation of a new substance by steeping another substance in a liquid, usually water

we have given a rate of infusion of medicine per hour which is 125 ml/hr.

And

Amount of medicine infuse in 1 hour is 125 ml

And the Amount of medicine infuse in 8 hours = 125*8

Amount of medicine infuse in 8 hours = 1000 ml.

So, The amount of medicine infused in 8 hours is 1000ml.

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You can use a random number generator to set a new y-value for Pac-man, causing him to reappear at a different vertical position when he goes off the screen.

To fix Pac-man to use random y-values each time he goes off screen, you would need to modify the code for his movement. Specifically, you would need to add a conditional statement that checks if Pac-man has gone off the screen, and if so, generates a random y-value for him to move to. This conditional statement should be placed within the function or method that controls Pac-man's movement. By doing this, Pac-man will use a random y-value each time he goes off the screen, creating a more unpredictable and exciting gameplay experience. To fix the Pac-man to use random y-values each time he goes off the screen, you would modify the game code in the section responsible for handling the Pac-man's position when it reaches the screen's edge.

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Step-by-step explanation:

really ? there is nothing to solve. only to calculate.

you have no calculator ? even the included apps on every computer system can do that.

that is a waste of both of our time.

24 + 19 - 5 = ?

I am sure you can figure that out.

Answer: 60

Step-by-step explanation: Its just common sense :)

Answer:

1/5   =   0.2

Step-by-step explanation:

1/3 = 0.33333333333333333 . . .

1/5 = 0.2    0.2 has an end to the decimals so the answer is 1/5  

Answer:

B

Explanation:

B is the only fraction that terminates or in other words, doesn't go on forever.

Answer:

1. a

2. c

Step-by-step explanation: