URGENT! TIMED QUESTION, WILL GIVE BRAINLIEST!

The height of a punted football is modeled by the following quadratic function:
h(t) - -5t2 . 40
where the height is measured in meters after t seconds.
+
a. How many seconds will it take the ball to hit the ground?
c. What is the maximum height of the ball?

In general, any symmetrical object will have a net torque of zero if the axis of rotation is through its center of mass.

It seems that the list of examples is missing from your question, so I'll provide a general explanation of situations where the net torque is zero. Please feel free to provide a list of examples for a more specific answer.

A net torque of zero about an axis perpendicular to the page and extending from the center means that the total clockwise torque is equal to the total counterclockwise torque. This can occur when:

1. There are no external forces acting on the system, so there is no torque.
2. The external forces are acting along the line of the axis, causing no rotation and hence no torque.
3. The clockwise and counterclockwise torques cancel each other out, resulting in a net torque of zero.

Some examples of objects that have a net torque of zero about the axis perpendicular to the page and extending from the center of the object are a sphere, a cube, a cylinder, and a cone.

Please provide the list of examples you'd like me to evaluate, and I'll be glad to help you determine which have a net torque of zero.

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Answer:

nothing

a point

a segment

Step-by-step explanation:

nothing

a point

a segment

The set T = {r, u, x} is linearly independent.

To determine whether the set T = {r, u, x} is linearly independent or not, we need to check if there exists a non-trivial linear combination of these vectors that equals the zero vector.

Let's assume such a linear combination exists, i.e.,

ar + bu + cx = 0

where a, b, and c are constants, not all zero.

Substituting x = 4r + 5u + 3d in the above equation, we get:

a r + b u + c (4r + 5u + 3d) = 0

Simplifying and regrouping the terms, we get:

(4c + a) r + (5c + b) u + 3c d = 0

Since S = {r, u, d} is a set of linearly independent vectors, we know that 3c = 0 (otherwise, we would have a non-trivial linear combination of vectors from S that equals the zero vector). Therefore, c = 0.

Substituting c = 0 in the above equation, we get:

a r + b u = 0

Since S is a set of linearly independent vectors, we know that a = b = 0 (otherwise, we would have a non-trivial linear combination of vectors from S that equals the zero vector). Therefore, the only linear combination of vectors from T that equals the zero vector is the trivial one:

0 r + 0 u + 0 x = 0

Hence, the set T = {r, u, x} is linearly independent.

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Answer:

\(J' = (4,-3)\)

Step-by-step explanation:

Given

\(J = (3, 4)\)

\(K =(6,4)\)

\(L = (8, 1)\)

\(M = (1,1)\)

\(Rotation = 270CCW\)

Required

Determine the new coordinate of J

From rules of rotation,

When a point (x,y) is rotated 270 degrees CCW;

The new point becomes (y,-x)

Considering point J

\(J = (3, 4)\)

This means

\((x,y) = (3,4)\)

Where \(x = 3\) and \(y = 4\)

Using the above rotation rule of

\((x,y) -> (y,-x)\)

The coordinates of J' becomes

\(J' = (4,-3)\)

Answer:

Step-by-step explanation:

this doesnt make snese\

Answer:

600

Step-by-step explanation:

Assume x=target number

55%(x)=300

55%=0.55

0.55x=300

x=300/0.55

x=600

Answer

600

Step-by-step explanation:

Here is the formula/format:

Part             %

------     =    --------

Whole         100

We are trying to find the "whole" in this case, so I did:

330            55

-------   =   -------  (this says that 55% of the number we are looking for is 330)

x                100

Then, I cross multiplied and got: 55x= 33,000

From there, I divided 33,000 by 55 (inverse operations) to get x = 600.

I hope this helps! :)

A sample is a subset of a population, containing the individuals that are actually observed.

In statistical analysis, a sample is a representative subset of a larger population. When studying a population, it is often impractical or impossible to gather data from every individual within that population. Instead, a sample is selected to provide insights into the characteristics, behavior, or properties of the entire population.

Samples are chosen using various sampling methods, such as random sampling, stratified sampling, or convenience sampling, depending on the research objective and available resources. The goal is to ensure that the sample is representative of the population, so that any observations or conclusions drawn from the sample can be generalized to the larger population.

Samples allow researchers to make inferences about the population based on the observed data. By analyzing the characteristics of the sample, statistical techniques can be applied to estimate population parameters, test hypotheses, and draw conclusions about the population as a whole. The validity and reliability of these inferences depend on the quality and representativeness of the sample selected.

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At great axial distances x from a current-carrying loop, the magnetic field varies as:

b. x^-3

Here's the step-by-step explanation:

1. The magnetic field B at a point on the axis of a current-carrying loop can be given by the formula: B = (μ₀Ia²) / (2(a² + x²)^(3/2))

2. In this formula, μ₀ is the permeability of free space, I is current, a is the radius of the loop, and x is the axial distance from the loop.

3. When the axial distance x is much greater than the radius a (i.e., x >> a), the term a² in the denominator becomes negligible compared to x².

4. Therefore, the formula simplifies to: B ≈ (μ₀I) / (2x³)

As you can see, the magnetic field B varies as x^-3 at great axial distances from the current-carrying loop.

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Answer:

total number of votes = 5696

Step-by-step explanation:

the 5 part of the ratio relates to 3560 no votes , then

3560 ÷ 5 = 712 ← value of 1 part of the ratio , then

3 × 712 = 2136 ← number of yes votes

total number of votes = yes + no = 2136 + 3560 = 5696

Answer:

3 1/100

Step-by-step explanation:

This is the answer because a mixed number is a fraction in it's simplest form.

The volume of plaster Darla needs for the miniature stairs is 418³.

The volume is the space occupied by a three-dimensional object.

Volume is the product of the multiplication of length, width, and height.

We first calculate the total volume for this situation, assuming that the stairs have not cut portions.

Secondly, calculate the volume of the cut portions and subtract the result from the total volume to get the volume of the stairs, which represents the quantity of plaster required by Darla.

Length of the miniature stairs = 12 cm

Width of the miniature stairs = 11 cm

Height of the miniature stairs = 4 cm

The volume of the stairs with the cut portion = 528 cm³ (12 x 11 x 4)

The length of the cut portion of the stairs = 12 cm

The width of the cut portion of the stairs = 11 cm

The height of the cut portion of the stairs = 2 cm (4 - 2)

The volume of the cut portion of the stairs = 110 cm³ (11 x 5 x 2)

The volume of the stairs without the cut portion = 418 cm³ (528 - 120)

The total volume of plaster can also be computed separately as the volume of the larger object plus the volume of the smaller object.

418 cm³= (7 cm x 4 cm x 11 cm) + (5 cm x 2 cm x 11 cm)

= (308 cm³ + 110 cm³)

Thus, the quantity (volume) of plaster Darla needs is 418 cm³.

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Partial derivative with respect to\(X = dF/dX = 2XY - (X + Y)2-2 + Y2e-XZ\)

Partial derivative with respect to \(Y = dF/dY = X2 - 6Y + (X + Y)2-2XYe-XZ\)

The first partial derivatives of the function F(X,Y) = X2Y - 3Y2 + X/(X + Y)2 + XY2e-XZ can be found by taking the partial derivative with respect to each of the variables X and Y separately.
For the partial derivative with respect to X, we have:
Partial derivative with respect to X = dF/dX = 2XY - (X + Y)2-2 + Y2e-XZ
For the partial derivative with respect to Y, we have:
Partial derivative with respect to \(Y = dF/dY = X2 - 6Y + (X + Y)2-2XYe-XZ\)
This completes the calculation of the first partial derivatives of the function F(X,Y).
The first partial derivatives of the functions are given below:

\(F(x, y) = x^2y - 3y^2\)

The first partial derivative with respect to x,

Fx (x, y) = 2xy

The first partial derivative with respect to y,\(Fy (x, y) = x^2 - 6yW = xy^2 e^-xz\)

The first partial derivative with respect to x,

\(Wx (x, y, z) = y^2e^-xz - x^2y^2e^-xz\)

The first partial derivative with respect to y, Wy (x, y, z) = 2xye^-xz

The first partial derivative with respect to z, \(Wz (x, y, z) = -xy^2e^-xz\)

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The expression for the linear cost function in this example can be written as C(q) = 0.30q + 1800. Here, q represents the number of newspapers Monika is able to sell, 0.30 is the marginal cost per newspaper, and 1800 is the fixed cost representing the purchase of the electric bicycle.

The linear cost function represents the relationship between the cost and the quantity of newspapers sold. In this case, the cost consists of two components: the fixed cost (the initial investment of $1800 for the electric bicycle) and the variable cost (the cost per newspaper). The variable cost is calculated by multiplying the number of newspapers sold (q) by the cost per newspaper, which is $0.30 in this example.

To find the total cost, the fixed cost and the variable cost are added together. Therefore, the expression for the linear cost function is C(q) = 0.30q + 1800, where C(q) represents the total cost and q represents the number of newspapers sold.

This linear cost function allows Monika to determine her total cost based on the number of newspapers she plans to sell. It helps her analyze the profitability of her business and make informed decisions regarding pricing and sales strategies.

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Answer:

the surface of hexagonal prism is 12 cm

Answer:

D 18%

Step-by-step explanation:

18/100 = 18%so D is the answer

Answer:

Just add 6 to the right side of 3 which will make as 36

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36

Hope it helps u...pls mark as brainliest

Answer:

  10%

Step-by-step explanation:

You want the percentage of pieces that are blueberries in a fruit salad with as many raspberries as blueberries, twice as many cherries as raspberries, and 3 times as many grapes as cherries.

If we let B, R, G, C represent the numbers of blueberries, raspberries, grapes, and cherries, respectively, the ratios in the salad are ...

  B : R = 1 : 1

  C : G = 1 : 3

  R : C = 1 : 2

In order to combine these ratios, we need to double the numbers in the C:G ratio to 2:6. Now we can write ...

  B : R : C : G = 1 : 1 : 2 : 6

Then the ratio of blueberries to the total is ...

  1 : (1+1+2+6) = 1 : 10

The blueberries are 1/10 = 10% of the number of pieces of fruit.

Answer:

10%

Step-by-step explanation:

blueberries, raspberries, grapes, and cherries

blueberries = raspberries

grapes = 3 × cherries

cherries = 2 × raspberries

grapes = 3 × 2 × raspberries

grapes = 6 × raspberries

cherries = 2 × raspberries

grapes = 6 × raspberries

blueberries = raspberries

Let blueberries = 1

Then

raspberries = 1

cherries = 2

grapes = 6

total = 1 + 1 + 2 + 6 = 10

blueberries = 1

percent of blueberries = 1/10 × 100% = 10%

Answer:

50 inches

Step-by-step explanation:

30²+40² = c² (c²= diagnol)

900+ 1600 = √2500

√2500 = 50

This is also a pythagorean triple (30,40,50).

The significance level of 0.01 indicates that we want to use a 1% level of significance to evaluate the evidence against the null hypothesis.

The null and alternative hypotheses for testing the claim that the majority of college students' cell phone bills are paid by their parents can be stated as follows:

Null hypothesis (H0): The majority of college students' cell phone bills are not paid by their parents.

Alternative hypothesis (Ha): The majority of college students' cell phone bills are paid by their parents.

In this scenario, the null hypothesis assumes that the proportion of college students whose parents pay their cell phone bills is less than 50% (not a majority), while the alternative hypothesis suggests that the proportion is greater than or equal to 50% (a majority). The significance level of 0.01 indicates that we want to use a 1% level of significance to evaluate the evidence against the null hypothesis.

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(-2/3)^(-2) × x × (3/4)-3

(-3/2)^2 × x ×(4/3)^3

-3/2×-3/2×4/3×4/3×4/3×x

= 16/3 × x

= 16x/3

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Answer:

6

Step-by-step explanation:

If you were scaling it by 1/6 it would be smaller.

Answer:

D

Step-by-step explanation:

The total displacement of the honeybee as it travels west, south and north is 219.2 m.

The total displacement of the honeybee is calculated as follows;

total horizontal displacement, x = 100 m due west

total vertical displacement, y = 200 m - 5 m = 195 m

total displacement, d = √x² + y²

d = √(100² + 195²)

d = 219.2 m

Thus, the total displacement of the honeybee as it travels west, south and north is 219.2 m.

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The possible widths for the rectangular mural are between 10 and 15 feet. We can also list the number of possible widths within this range, which is six. They are 10 feet, 11 feet, 12 feet, 13 feet, 14 feet, and 15 feet.

To determine the possible widths for the rectangular mural with an area of 60 square feet, we can use the formula for the area of a rectangle, which is length multiplied by width. Since the area is given as 60 square feet and the length should be between 4 and 6 feet, we can set up inequality as follows:

4w ≤ 60 ≤ 6w

where w is the width of the mural in feet. Solving this inequality for w, we get:

10 ≤ w ≤ 15

It is important to consider the dimensions carefully to ensure that the mural meets the requirements and fits in the desired space. By having multiple possible widths, the class can select the most suitable one based on the available resources and space.

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Complete question:

Our class is planning to paint a rectangular mural with an area of 60 square feet, it should be at least 4 feet high but not more than 6 feet in length and width, and list a number of possible widths for our class. Planning to paint a rectangular mural with an area of 60 square feet, it should be at least 4 feet high but not more than 6 feet in length and width, and list the number of possible widths for it.

population at 1992 = 3590

Population after Seven years (1999) = 4500

Given two points (t1, P1) and (t2, P2), the slope of the line m can be found.

p1 = (1992, 3590) and p2 = (1999, 4500)

m= ΔP/Δt

m= ((4500-3590))/((1999-1992))

m = 910/7

m=130 is the slope

The linear population function P(t) is

P(t)=130t + P0

Find the Y-Intercept P0

The population function P(t) is measured since the year 1990, year zero. The first moose population was measured in 1992, one year later. This provides an initial condition P (1) = 4500.

P (1) =130 (1) + P0 = 4500

P0 = 4370

P(t)=20t+4630

The moose population P(t) changes linearly year after year. The population function P(t) is measured in terms of t years since 1990.

t= 1990, P (0) =4370

t =1992, P (1) =130 (1) + 4370 = 4500 matches data

t=1999, P (2) = 130(2) + 4370 = 4630

t=2006, P (3) = 130(3) + 4370 = 4760

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Answer: (a) The ratio of spirit to varnish is 1 : 3

(b) You will need 80 ml of mineral spirits

(c) Ratio = 3 : 2

Step-by-step explanation: (a) If you have to mix 25% mineral spirit to the varnish as required in the question, then the whole solution would effectively contain 25 percent spirit and 75 percent varnish, giving you a hundred percent solution. To express both quantities in ratio can be done as follows;

Ratio = Spirit : Varnish

Ratio = 25 : 75

Ratio = 1 : 3

(b) Next, if you use 240 ml of varnish, this quantity would constitute 75 percent or ratio 3 out of 4 of your total solution. Therefore 240 ml of varnish can be expressed as follows;

240 : x = 3 : 4

Where x is the total solution and the right hand side (3 : 4) expresses the ratio of varnish in relation to the total solution. Hence,

240/x = 3/4

By cross multiplication you now have,

3x = 240 * 4

x = 960/3

x = 320

If x is the total solution which is 320 ml, and varnish constitutes 240 ml, then spirit equals,

Spirit = Total solution - varnish

Spirit = 320 - 240

Spirit = 80.

Therefore, you would need 80 ml of mineral spirits.

(c) Robson's tapestries all measure 1.5 m by 1 m. This can be expressed in whole numbers by first eliminating the decimal. Multiplying both dimensions by 10 results in,

1.5 (10) x 1 (10)

15 x 10

If both measurements can also be expressed as 15 m by 10 m, then reducing to the least terms would result in 3 by 2. That is,

15/5 by 10/5

3 by 2

Expressed as a ratio, this now becomes

Ratio = 3 : 2

The ratio of spirit to varnish is 1:3, the quantity of mineral spirits required is 80 ml and the proportion of the height of tapestries to the width is 3:2.

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

It need to mix 25% mineral spirits to the varnish. For this the solution must contain the 25% mineral spirits and 75% of varnish.

The ratio of spirit to varnish become,

\(r=\dfrac{25}{75}\\r=\dfrac{1}{3}\)

Total 240 ml of varnish is there, which is equal to the 75% of the varnish. Let x is the total amount of solution. Thus,

\(x=\dfrac{240}{75}\times100\\x=320\)

Now the there are total 25% of mineral spirits in the solution of 320 ml. Thus, the 25% of 320 ml is,

\(\rm Mineral \;Spirits=\dfrac{320}{100}\times25\\\rm Mineral \;Spirits=80\; ml\)

Let L is the length and W is the width. Then the length and width in whole number can be express as,

\(L=15\rm \;,m\\W=10\; m\)

The ratio of length to width is,

\(\dfrac{L}{W}=\dfrac{15}{10}\\\dfrac{L}{W}=\dfrac{3}{2}\)

Thus, the ratio of spirit to varnish is 1:3, the quantity of mineral spirits required is 80 ml and the proportion of the height of tapestries to the width is 3:2.

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The kinematics equation s = 1/2at² can be used to determine the acceleration in the Second Law Experiment, where acceleration is calculated by measuring the time taken for the cart to move from the start point to the end point.

Let's derive how the equation is used to find the acceleration from this experiment:

Drivation of kinematics equation:

The kinematics equation is derived by integrating the acceleration function twice with respect to time (t).

Acceleration, a = d²s/dt², where s is displacement, and d²s is the second derivative of displacement with respect to time.

taking integral w.r.t time twice:

∫ a dt = ∫ d²s/dt² dt integrating once gives, v = at + C₁ (where C₁ is a constant of integration)

integrating twice gives, s = 1/2at² + C₁t + C₂ (where C₂ is a constant of integration)

Thus, the kinematics equation for an object moving with constant acceleration can be represented by

s = 1/2at² + vit + s₀,

where s is the displacement, a is the acceleration, t is time, vi is initial velocity, and s₀ is initial displacement.

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