Explain to Malik why the logic that made him think the midpoint was (6,2) is almost right I had to extend his thinking to use the coordinates of the endpoint to get the midpoint of (-3,6)

Answer:

Step-by-step explanation:

Height of model = 20 ft ⋅ (2 in)/(5 ft) = 8 in

Answer: 130 miles every week

Step-by-step explanation:

26*5=130

Round trip means from home to work and back home

When the radius of the snowball is 4 and shrinks at a rate of 2 inches per hour then the rate of change of the surface area s is equal to 64π in²/hr

As the radius r is shrinking at the rate of two inches per hour, it can be represented as;

dr/dt = -2 in / hr

Here, the negative sign represents the shrinking of the snowball with time t.

The surface area of a sphere can be represented by the formula;

S = 4πr²

Now we differentiate S with respect to t by keeping radius (r) as a variable as follows;

dS/dt = d/dt (4πr²)

dS/dt = 4π (d/dt) (r²)

dS/dt = 4π × 2r (dr/dt)

Putting the value of r = 4 and calculated value of dr/dt = -2 in the equation as follows;

dS/dt = 4π × 2(4)(-2)

dS/dt = -64π

Therefore, the rate of change of surface area s is calculated to be 64π in²/hr.

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Answer:

c

Step-by-step explanation:

Millimeter (mm) and inch are both units of measurement for length, but they are not equivalent. One inch is equal to 25.4 millimeters. To convert inches to millimeters you multiply the number of inches by 25.4, for example 2 inches is equal to 50.8 millimeters. It's important to note that you can also use a conversion calculator or a conversion table to convert inches to millimeters.

A millimeter (mm) and an inch are both units of measurement for length. However, they are not equivalent and cannot be directly compared.

A millimeter is a metric unit of length, commonly used in most countries around the world. It is a unit of the International System of Units (SI) and it is one of the most widely used units of length in science and engineering. An inch, on the other hand, is an imperial unit of length that is mainly used in the United States. It is part of the British Imperial system of measurements and it is one of the most widely used units of length in the United States.

To convert inches to millimeters, we use the conversion factor that 1 inch is equal to 25.4 millimeters. So to convert inches to millimeters you multiply the number of inches by 25.4. For example, if you want to convert 2 inches to millimeters, you would multiply 2 by 25.4 to get 50.8 millimeters. It's important to note that you can also use a conversion calculator or a conversion table to convert inches to millimeters.

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Answer: The minimum number of rolls to buy is 9 Step-by-step explanation:step 1 Find the perimeter ...

Step-by-step explanation:

Answer:The minimum number of rolls to buy is 9 Step-by-step explanation:step 1 Find the perimeter ...

Based on this data, for every inch in height, the arm span increases by 1.1 inches.

Here, we have,

I put the height of people on the x-axis because this is what I am trying to correlate the arm span to. I put the arm span on the y-axis because it is dependent on height.

I used point (60,61) and (70,72) to draw the line of best fit and to get the equation. First, to get the slope I would use the slope formula of m = 72-61/70-60 or 11/10 to get a slope of approximately 1.1. Then I used (60,61) to get the rest of the equation by plugging it in: y-61 = 1.1(x -60). This becomes y-61 = 1.1x - 66. Add 61 to both sides and the final equation is y = 1.1x – 5.

The slope represents the rate of change arm span based on height. The y intercept is the arm span.

Using points (66,68) and points (70,72) I plug each into the equation y=1.1x-5 to figure each out based on the difference from the actual points and get .4 for (66,68) and 0 for point (70,72) so I would say, based on .4 and 0 for these two points that this is a good line of best fit.

Based on this data, for every inch in height, the arm span increases by 1.1 inches.

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complete question:

There are many measurements of the human body that are positively correlated. For example, the length of one's forearm (measured from elbow to wrist) is approximately the same length as the foot (measured from heel to toe). They are positively correlated because, as one measurement increases, so does the other measurement.

Answer:

x=15

Step-by-step explanation:

4 I x-5 I +20 = 60 Distribute the 4

4x - 20 + 20 = 60   Combine like terms :

4x - 0 = 60

4x = 60 Divide:

 x = 15

Check :  4 I 15 - 5 I + 20 = 60

                  4 I10I +20 = 60

                    40 + 20 = 60

                         60 = 60 ✔

Hope this helps :)

Answer:

Step-by-step explanation:

so simplify the first half of the equation

4x-20+20 = 60

combine like terms

4x = 60

divide both sides by 4

x = 15

The probability that the next person will pay with a debit card is:

P =  0.63

We want to find he probability that the next customer will pay with a debit card.

That probability can be estimated as the quotient between the number of customers that paid with debit card and the total number of customers.

We know that:

15 paid in cash.

50 paid with debit card.

15 paid with credit card.

For a total of 15 + 50 + 15 = 80

Then the probability is:

P = 50/80 = 0.63

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Given the action of the change in demand for Margarine ''increase in quantity demanded'' is the reaction of producers in the margarine market to the new equilibrium price.

The worth of the final unit of consumption to a consumer is known as marginal value. An industry demand curve measures the value of a commodity to the consumer who purchased it but later receives the lowest value from consumption.

The reaction of the producers in the margarine market to the new equilibrium price, following the change in demand for margarine, will depend on the size and direction of the change in price. If the new equilibrium price is higher than the previous one, then producers will increase production to take advantage of the higher price. On the other hand, if the new equilibrium price is lower than the previous one, then producers will reduce production to avoid losses.

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The complete question is: Given the action of the change in demand for margarine, what is the reaction of the producers in the margarine market to the new equilibrium price?

a. Increase in quantity demanded

b. Increase in demand.

c. Increase in quantity supplied

d. Increase in supply.

Answer:

never, never, sometime, sometimes, and always.

Step-by-step explanation:

I'm smart lol

Answer:

One real-world example of an object/scenario where a limit exists is the concept of a car approaching a maximum speed.

Let's consider a car accelerating on a straight road. As the car continues to accelerate, there may be physical or engineering limitations that prevent it from reaching an infinite speed. These limitations could be factors like engine power, aerodynamic resistance, or speed limits imposed by laws or safety considerations.

In this case, we can approximate the limit of the car's speed as it approaches the maximum achievable speed. As the car accelerates, its speed increases, but it eventually reaches a point where the increase in speed becomes negligible. At this point, the car is said to have approached its maximum speed or reached its speed limit.

For example, let's say a car is accelerating from 0 km/h and its maximum speed is 200 km/h. As the car accelerates, it gradually gets closer to its maximum speed. At some point, the incremental increase in speed becomes very small, and the car's speed stabilizes around 200 km/h. This indicates that the car has approached its limit or maximum speed.

In this scenario, we can approximate the limit of the car's speed as it approaches 200 km/h. However, it's important to note that the actual limit may depend on various factors and may vary in different real-world situations.

Step-by-step explanation:

Answer:

p = 6

Step-by-step explanation:

p/15 = 4/10

*cross multiply*

p*10 = 15*4

10p=60

*divide to get p alone*

p=6

Answer: x=1 y=1

Step-by-step explanation:

ax+by=a−b .......... (1)

bx−ay=a+b .......... (2)

Multiply equation (1) with a  and  equation (2) with b ,

a

2

x+aby=a

2

−ab ..........(3)

b

2

x−aby=ab+b

2

 ......... (4)

Adding (3) and (4), we get,

(a

2

+b

2

)x=a

2

+b

2

⇒x=1

Now, from (1),

ax+by=a−b

a+by=a−b

by=−b

y=−1

The numerical value of x in the measure of the vertical angles is 16.

Vertical angles are simply angles which are opposite of one another when two lines cross.

Vertical angles have the same angle measure, hence, they are congruent.

From the diagram, as the two lines crosses, the two angles are opposite of each other, hence the angles are vertical angles.

Angle 1 = 65 degrees

Angle 2 = ( 4x + 1 ) degrees

Since vertical angles are congruent.

Angle 1 = Angle 2

Hence:

65 = ( 4x + 1 )

We can now solve for x:

65 = 4x + 1

Subtract 1 from both sides:

65 - 1 = 4x + 1 - 1

64 = 4x

x = 64/4

x = 16

Therefore, the value of x is 16.

Option D) 16 is the correct answer.

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The limit lim x → n − ⌊ x ⌋ is equal to n because the floor function ⌊ x ⌋ approaches n from values less than n as x approaches n from the left.

To evaluate the limit lim x → n − ⌊ x ⌋, we need to understand the concept of the floor function ⌊ x ⌋. The floor function returns the largest integer that is less than or equal to x. For example, ⌊3.7⌋ = 3 and ⌊-2.5⌋ = -3.

When we take the limit as x approaches n from the left (denoted by the minus sign in x → n − ⌊ x ⌋), we are essentially asking what happens to the function as x gets closer and closer to n from values less than n. Since n is an integer, the floor function ⌊ x ⌋ will always be equal to n when x is between n and n+1. Therefore, as x approaches n from the left, ⌊ x ⌋ will approach n.

So the limit lim x → n − ⌊ x ⌋ is equal to n. This makes sense intuitively, as we are essentially taking the integer part of a number that is very close to n from values less than n, so it would make sense for the integer part to be equal to n itself.

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The solution is that the rancher should buy 26 steers and 13 cows

Let's start by setting up a system of equations based on the given information.

The total amount of money the rancher has is $1000, and they plan to buy steers at $25 each and cows at $26 each. Let's say they buy s steers and c cows, then we have:

$25s + $26c = $1000 (Total amount spent)

We also know that s and c are both positive integers (whole numbers greater than zero).

We can solve for s and c by using some algebraic techniques. First, let's simplify the equation by dividing both sides by $1 to get rid of the dollar sign

25s + 26c = 1000

Now we can use a technique called "integer division" to solve for s and c. We'll start by assuming that the rancher buys all steers and no cows, which gives us

25s + 26(0) = 1000

25s = 1000

s = 40

So the rancher could buy 40 steers with their $1000. However, we need to account for the fact that they can also buy cows. Let's say they buy c cows, then we can set up another equation based on the total number of animals they buy

s + c = Total number of animals

Since we don't know the total number of animals, we'll leave that as a variable for now. We can use this equation to solve for c in terms of s:

c = Total number of animals - s

Now we can substitute this expression for c into the first equation:

25s + 26c = 1000

25s + 26(Total number of animals - s) = 1000

25s + 26Total number of animals - 26s = 1000

-Taking 25s to the right side

26Total number of animals = 1000 + s

dividing both sides by 26

Total number of animals = 38 + s/26

So the total number of animals must be a whole number, which means that s/26 must be a positive integer. We can try different values of s to see which ones work

If s = 26, then s/26 = 1 and Total number of animals = 39. This gives us c = 39 - 26 = 13, so the rancher would buy 26 steers and 13 cows.

If s = 52, then s/26 = 2 and Total number of animals = 40. This gives us c = 40 - 52 = -12, which doesn't make sense since c must be a positive integer.

If s = 78, then s/26 = 3 and Total number of animals = 41. This gives us c = 41 - 78 = -37, which again doesn't make sense.

So the only solution that works is when the rancher buys 26 steers and 13 cows. This would cost

25(26) + 26(13) = $650 + $338 = $988

So the rancher would have $12 left over from their $1000 budget.

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The given question is incomplete, the complete question is:

With $1000 a rancher is to buy steers at  $25 each and cows at $26 each. If the number of steers s and the number of cows c are both positive integers, what is the solution?

Answer:

1. splitting water into hydrogen and oxygen

Step-by-step explanation:

Answer:

Photosynthesis takes place in two stages: the light-dependent reactions and the Calvin cycle. In the light-dependent reactions, which take place at the thylakoid membrane, chlorophyll absorbs energy from sunlight and then converts it into chemical energy with the use of water.

Step-by-step explanation:

can u pls go answer my question? Thank you and have a nice day :)

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There are 678 ways to stack the 6 books on the shelf if the math books cannot be next to each other.

To solve this problem, we can use the principle of inclusion-exclusion. We start by considering the total number of ways to arrange the 6 books on the shelf, which is 6! = 720. However, this includes arrangements where the math books are next to each other, so we need to subtract these cases.

There are 2 ways to choose which math book will be on the left, and 4! = 24 ways to arrange the remaining 4 books, for a total of 224 = 48 arrangements where the math books are next to each other. However, this overcounts arrangements where the math books are next to each other and there is another math book on either side, so we need to add these cases back in.

There is only 1 way to arrange the 3 math books in this case, and 3! = 6 ways to arrange the remaining 3 books, for a total of 16 = 6 arrangements where the math books are next to each other and there is another math book on either side.

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Answer:

Step-by-step explanation:

If the question is to factorize

\(x^4-17x^2+16\\\\x^4-x^2-16x^2+16\\\\=x^2(x^2-1)-16(x^2-1)\\\\=(x^2-1)(x^2-16)\\\\=(x+1)(x-1)(x-4)(x+4)\\\)

Answer:

1/2

Step-by-step explanation:

\(\frac{y2-y1}{x2-x1}\)=\(\frac{8-5}{9-3} = \frac{1}{2}\)

or

\(\frac{6-5}{9-7} = \frac{1}{2}\)

The triple integral is equal to ∫∫∫ f(x, y, z) dV using spherical coordinates is equal to 64π/21 .

Use spherical coordinates to evaluate this triple integral over the given region.

The region p < 2 is a sphere centered at the origin with radius 2.

In spherical coordinates, this region can be described by,

0 ≤ ρ ≤ 2

0 ≤ θ ≤ 2π

0 ≤ φ ≤ π

The volume element in spherical coordinates is ρ² sin φ dρ dφ dθ.

The triple integral can be written as,

∫∫∫ f(x, y, z) dV

= \(\int_{0}^{2}\int_{0}^{\pi}\int_{0}^{2\pi }\) (ρ² sin φ)(ρ⁴ sin²φ cos²θ sin²θ) dρ dφ dθ

= \(\int_{0}^{2}\int_{0}^{\pi}\int_{0}^{2\pi }\)  (ρ⁶ sin³φ cos²θ sin⁵ θ) dρ dφ dθ

= \(\int_{0}^{2}\)(ρ⁶/7) \(\int_{0}^{\pi }\) (sin³ φ) \(\int_{0}^{2\pi }\) (cos² θ sin⁵θ) dθ dφ dρ

The innermost integral evaluates to π/8.

The second integral can be evaluated using the substitution u = cos φ, du = -sin φ dφ, which gives,

\(\int_{0}^{\pi }\)(sin³ φ) dφ

= -\(\int_{1}^{-1}\)(1-u²) du

= 4/3

The outer integral evaluates to (2⁷)/7.

Triple integral is equal to

∫∫∫ f(x, y, z) dV

= (2⁷/7) (4/3) (π/8)

= (32/7)π/6

= 64π/21

Therefore, the triple integral is equal to ∫∫∫ f(x, y, z) dV = 64π/21 .

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The given integral is: ∫∫R 5/√(2) xy dA, where R is the region in the xy-plane bounded by the curves y = 0, x = √(25 - y^2) and x = 0. The volume of the solid is (5^5/8) cubic units.

Converting to polar coordinates, we have:

x = r cos(θ), y = r sin(θ), and the limits of integration become:

0 ≤ θ ≤ π/2, 0 ≤ r ≤ 5.

Also, the differential of area becomes dA = r dr dθ.

Substituting for x and y, and dA, we have:

∫∫R 5/√(2) xy dA = ∫θ=0π/2 ∫r=0^5 5/√(2) (r cos(θ)) (r sin(θ)) r dr dθ

= 5/√(2) ∫θ=0π/2 ∫r=0^5 r^3 cos(θ) sin(θ) dr dθ

= 5/√(2) ∫θ=0π/2 [sin(θ)/4] ∫r=0^5 r^4 cos(θ) dr dθ

= 5/√(2) ∫θ=0π/2 [sin(θ)/4] [(5^5 cos(θ))/5] dθ

= (5^5/4√(2)) ∫θ=0π/2 sin(θ) cos(θ) dθ

= (5^5/8)

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Assuming that x ≥ 0 and y ≥ 0, the situation is infeasible: True.

In Mathematics, these rules are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a coordinate plane:

In this context, we can logically deduce that the given system of inequalities 5x+3y ≤ 15 and y ≥ 6 would not have a feasible solution set if they are subjected to x ≥ 0 and y ≥ 0:

Assuming the ordered pair (1, 2), we have:

y ≥ 6

2 ≥ 6 (False).

5x+3y ≤ 15

5(1) +3(2) ≤ 15

5 + 6 ≤ 15

11 ≤ 15 (True).

Therefore, it is not a feasible solution.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

50 feet is the lengths of the sides of the rectangular field .

What do you mean by rectangular?

Let x represent the length of the fence and y represent the width of the fence.

Since the area is 3750, hence:

Area = length * width = x * y

3750 = xy

y = 3750/x

A fence divide the field in half and is parallel to one of the sides of the rectangle. Hence:

Amount of fencing needed (P) = x + x + y + y  + y = 2x + 3y

Amount of fencing needed (P) = 2x + 3(3750/x) = 2x + 11250/x

To minimize the amount of fencing needed, dP/dx = 0, hence:

dP/dx = 2 - 11250/x²

2 - 11250/x² = 0

2 = 11250/x²

2x² = 11250

x² = 5625

x = 75 feet

y = 3750/x =  3750/75 = 50 feet

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Answer:

5×8=40

x=7×8

=56

Step-by-step explanation:

5×8=40

x=7×8

=56

x = 58.62 feet

y = 85.3 feet

Given that,

The cost of exterior walls is $140 per linear foot.

The cost of interior walls is $100 per linear foot.

  xy = 5000

⇒ y = 5000/x

For the exterior walls, we have 2(x + y)(110)

For the interior wall, we have 100x

The cost function = C

⇒ C = 2(x + y)(110) + 100x

⇒ C = 220(x + y) + 100x

      = 220x + 240y + 100x

      = 320x + 240y

Recall that y = 5000/x

C = 320x + 220(5000/x)

C = 320x + 1100000/x

Differentiate C with respect to x

C'(x) = 320 - 1100000/x²

       = (320x² -1100000) / x²

To minimize cost

C'(x) = 0

(320x² -1100000) / x² = 0

320x² -1100000 = 0

⇒ 320x² = 1100000

⇒ x² = 1100000/320

⇒ x = √1100000/320

⇒ x = 58.62 feet

Recall that y = 5000/x

y = 5000/58.62

y = 85.3 feet

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Answer:

ov 24, 2010 · They attached animal-borne motion sensors, accelerometers, to the free-swimming whale sharks to measure their swimming activity and vertical movement, which allowed them to quantify the energetic ...

Step-by-step explanation: