What is the ratio of 1 km to 500 m

Answer:

  12)  C) 11π/2 km

  13)  B) 567π/2 mi²

Step-by-step explanation:

The arc length and sector area can be found using the appropriate formulas.

__

Arc length is given by the formula ...

  s = rθ . . . . where r is the radius, and θ is the angle in radians

A 90° angle is π/2 radians, so the arc length is ...

  s = (11 km)(π/2)

  s = 11π/2 km

__

Sector area is given by the formula ...

  A = 1/2r²θ . . . . where θ is the central angle in radians

There are 2π radians in 360°, so the angle 315° corresponds to ...

  315° = (315/360)×2π = 7/4π radians

Then the sector area is ...

  A = 1/2(18 mi)²(7π/4) = 567π/2 mi²

Answer:

Second Choice: 8.73b + 171.48 > 381

Step-by-step explanation:

This is a tricky question because the first two choices both represent an inequality that satisfy the conditions

First, let's eliminate obvious wrong choices.

If b represents the number of bags of dog food and one bag costs $8.73, there should be term 8.73b somewhere in the inequality since 8.73b represents the total $ cost of b bags of dog food.

This means we can eliminate the last two choices

Let's deal with the knowns and compute the dollar amounts of each of the products being donated

30 cans of cat food at $0.57 per can = 0.57 x 30 = $17.10

34 cans of dog food at $0.84 per can = 0.84 x 34 = $28.56

18 bags of cat food at $$6.99 per bag = 6.99 x 18 = $125.82

The sum of these is $171.48

She is also donating b bags of dog food at $8.73 per bag = 8.73 x b = $8.73b

So the total cost of the donation =
8,73b + 171.48 which has to exceed 381

So the inequality is
8.73b + 171.48 > 381

Which is the choice you have selected and I believe it is correct

Now, the tricky part comes because if you subtract 171.84 from both sides of the inequality we get

8.73b > 318 - 171.48

Both inequalities are equivalent but we would not write an inequality of the type where the RHS is a mathematical expression. We would instead simplify the right hand side and write it as

8.73b > 209.52    (381-171.48 = 209.52)

I believe the way the question is worded is the LHS should be the $sum of all the donations and the RHS the minimum value.

So the best choice is choice 2: 8.73b + 171.48 > 381

i hope that helps.

Considering the situation described, the classification of the elections is given as follows, according to their order of finish:

David, Greg, Victor, Mac, Bill.

We take the situation that is described, and build the classification from it. The classification has the following format:

P1 - P2 - P3 - P4 - P5

With P1 being the first placed candidate, P2 being the second placed candidate, and so on until P5 which is the fifth placed candidate.

From the text given in this problem, we have that:

Hence the classification of the election is given by:

David, Greg, Victor, Mac, Bill.

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Answer:

6x+25

Step-by-step explanation:

Answer:

The simplified equation is 6x+25

Step-by-step explanation:

First, you open parentheses or in other words, use distributive property: 6*x+6*4+1. If you simplify that, you get 6x+24+1 which is basically 6x+25. So 6x+25 is your final answer.

Answer:

16%

Step-by-step explanation:

To calculate this we first need to calculate the probability of Mario scoring for every individual shot that he takes. Since he makes 2 goals for every 5 shots on average, we simply divide these numbers to get the probability of a goal per shot.

2 / 5 = 0.4  ...multiply by 100 to get percentage value

0.40 * 100 = 40%

We see that the probability of scoring a goal per shot is 40%. Now we need to multiply this probability twice to get the probability of scoring 2 consecutive goals in two shots.

0.40 * 0.40 = 0.16  ... multiply by 100 to get percentage value

0.16 * 100 = 16%

Answer:

16%

Step-by-step explanation:

I know that 2/5 = 0.4 or 40%

and 0.4 x 0.4 = 0.16

or 16%

basically what the other one said, without words

Answer:

Step-by-step explanation:

<A = <C

The angles meeting at B and are part of the triangle are vertically opposite and therefore equal.

<E  and <D are equal. (given)

Therefore by angle angle angle, the two connected triangles are similar

AD/CE = 12/x        from <A = <C

27/23.4=12/x         Cross Multiply

27x = 12*23.4        Combine the Right Side

27x = 280.8           Divide by 27

x = 280.8/27

Answer: x = 10.5 cm

Answer:#2

Step-by-step explanation:

Answer:

x=26

Step-by-step explanation:

substitute x with 1: 5(1)+1+16

Answer:

x = -4

Step-by-step explanation:

The functional notation () simply means that you replace in the function with whatever values are in the domain. So  () = 5 ( + 1) + 16 means that the solution set will contain the answer for every value of  .

In the question,  () = 1. So you set the function equal to 1, then solve for :

() = 1 = 5 ( + 1) + 16.

Add  −16  to both sides: − 15 = 5 ( + 1)

Divide both sides by  5: − 3 = + 1

Add  −1  to both sides: − 4 =

We are are 95% confident that the true proportion of wins using the new strategy will be between 0.1812 and 0.242895 in first simulation and between 0.1948 and 0.2732 in second simulation.

A chess player ran a simulation twice to estimate the proportion of wins to expect using a new game strategy. Each time, the simulation ran a trial of 1,000 games. The first simulation returned 212 wins, and the second simulation returned 235 wins. Construct and interpret 95% confidence intervals for the outcomes of each simulation.

A 95% confidence interval gives us a range of values that we are 95% confident contains the true proportion of wins that the new game strategy will produce in the long run. To construct the confidence interval for each simulation, we can use the following formula:

CI = p ± 1.96 * sqrt(p * (1 - p) / n)

where p is the sample proportion of wins, n is the number of trials, and 1.96 is the z-score corresponding to a 95% confidence level.

For the first simulation, p = 212 / 1000 = 0.212 and n = 1000, so the confidence interval is:

CI = 0.212 ± 1.96 * sqrt(0.212 * (1 - 0.212) / 1000)

CI = (0.1812, 0.2428)

This means that we are 95% confident that the true proportion of wins using the new strategy will be between 0.1812 and 0.2428.

For the second simulation, p = 235 / 1000 = 0.235 and n = 1000, so the confidence interval is:

CI = 0.235 ± 1.96 * sqrt(0.235 * (1 - 0.235) / 1000)

CI = (0.1948, 0.2732)

This means that we are 95% confident that the true proportion of wins using the new strategy will be between 0.1948 and 0.2732.

In general, larger sample sizes lead to narrower confidence intervals. In this case, both confidence intervals overlap, indicating that the two simulations are consistent with each other. This gives us additional confidence in the estimated proportion of wins using the new strategy.

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Answer:

the confidence interval for the first simulation is (0.187, 0.237), and the confidence interval from the second simulation is (0.209, 0.261). For the first trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.187 and 0.237. For the second trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.209 and 0.261.

Step-by-step explanation:

got it right on the test :)

Answer:

3/2 liters/minute

Step-by-step explanation:

Divide 11/15 liters by 22/45 minutes:

 11

------

 15

-----------

 22

-----

 45

This is equivalent to:

11      45

----- * -----  =  3/2 (liters/min)

15      22

The flow rate of the pipe is 3/2 (or 1.5) litres per minute.

To calculate the flow rate of the pipe, we divide the volume of water (in litres) by the time taken (in minutes).

Given:

Volume of water = 11/15 liters

Time taken = 22/45 minutes

Flow rate = Volume / Time

Flow rate = (11/15) liters / (22/45) minutes

To divide by a fraction, we multiply by its reciprocal:

Flow rate = (11/15) x (45/22) liters/minutes

Simplifying the expression:

Flow rate = 495/330 litres/minutes

The fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 165 in this case:

Flow rate = (495/165) / (330/165) litres/minutes

Flow rate = 3/2 liters/minutes

Therefore, the flow rate of the pipe is 3/2 (or 1.5) litres per minute.

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Answer:

30.0g

Step-by-step explanation:

In order to determine the amount of each chemical to the nearest tenth of gram prior to computing the sum is shown below:

Like

10.357, 57 > 50, rounded to 10.4

12.062, 62 > 50, rounded to 12.1

7.506, 06 < 50, rounded to 7.5

Now

The Sum is

= 10.4g + 12.1g + 7.5g

= 30.0g

Hence, 30.0g medicine required to make in grams

The remainder when r is divided by 11 is 6.

Remainder is the amount left after dividing a number by another. After dividing a number with another, it will result to an integer and a remainder, which is less than the divisor.

Divide the number of seconds in December by the number of seconds in November and get the remainder, r.

number of seconds in December ÷ number of seconds in November

31days(24h/day)(60min/h)(60s/min) ÷ 30days(24h/day)(60min/h)(60s/min)

= 2678400 s ÷ 2592000 s

= 1 r. 86400

r = 86400

Divide r by 11 and get the remainder.

86400 ÷ 11 = 7854 r. 6

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Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the polygon A (and other possible polygons to select from) are not given. So, I will answer on a general term.

Assume that Polygon A is a rectangle of dimension 2ft by 5ft.

\(Length = 2ft\)       \(Width = 5ft\)

Possible scaled copies can be gotten by multiplying the dimension of A by the same scale factor.

Take for instance, the scale factor k is:

\(k = 3\)

A scaled copy of polygon A (say polygon B) is: 6ft by 15ft

This is gotten by:

\(Length = 2ft * 3 = 6ft\)     \(Width = 5ft * 3 = 15ft\)

The area of A is:

\(Area = 2ft * 5ft = 10ft^2\)

The area of B is:

\(Area = 6ft * 15ft = 90ft^2\)

See attachment for polygons

Comparison

The area of B is greater than the area of B.

This method can be applied to scale factors

#A

Stop sign is given so it starts from zero but approaching a stoplight means distance will be a straight line.

#B

#c

Fall work makes it wrong

#D

Yes sure ,Air temperature is increased not at a constant rate

The gradient descent algorithm is an iterative optimization algorithm commonly used to find the minimum of a function.

At each iteration, the algorithm updates the current point in the direction opposite to the gradient of the function evaluated at that point. The gradient of a function measures the rate of change of the function with respect to each variable.

In the context of the gradient descent algorithm, the gradient of a function at a point is orthogonal to the level set of the function at that point. This means that the gradient vector points in the direction of steepest ascent, while the level set represents the set of points where the function has the same value. Orthogonality between the gradient and the level set implies that moving in the direction of the negative gradient will lead to a decrease in the function's value.

By updating the current point in the direction of the negative gradient, the gradient descent algorithm efficiently moves towards the minimum of the function. The algorithm iteratively performs this update until it converges to a local minimum.

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Answer:

x=5, y=3

Explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Step-by-step explanation:

x=5 y=3 that is it that guy was right

Using proportions, it is found that the total distance covered by him in 6 days is of 28.5 km.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The daily distance is of 2 x 2.375 km, as 1000 m = 1 km and he walks both ways. Hence, the total distance covered by him in 6 days is given by:

D = 6 x 2 x 2.375 = 28.5 km.

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Let V be a finite-dimensional vector space and let S1 and S2 be two bases of V. To show that S1 and S2 have the same number of elements, we will assume, without loss of generality, that S1 has more elements than S2, i.e., n > m. We will then derive a contradiction.

Since S1 is a basis of V, every vector in V can be expressed as a linear combination of the vectors in S1. In particular, for each j = 1, 2, ..., m, we can express βj as a linear combination of the vectors in S1:

βj = c1,jα1 + c2,jα2 + ... + cn,jαn

where c1,j, c2,j, ..., cn,j are scalars. We can write this in matrix form as

| β1 | | c1,1 c1,2 ... c1,m | | α1 |

| β2 | | c2,1 c2,2 ... c2,m | | α2 |

| ... | = | ... ... ... ... | * | ... |

| βm | | cm,1 cm,2 ... cm,m | | αn |

where the matrix on the right is the matrix whose columns are the vectors in S1, and the matrix on the left is the matrix whose columns are the vectors in S2.

Since S2 is also a basis of V, the matrix on the left is invertible. Therefore, we can multiply both sides of the equation by the inverse of the matrix on the left, giving

| α1 | | b1,1 b1,2 ... b1,m | | β1 |

| α2 | | b2,1 b2,2 ... b2,m | | β2 |

| ... | = | ... ... ... ... | * | ... |

| αn | | bn,1 bn,2 ... bn,m | | βm |

where b1,j, b2,j, ..., bn,j are scalars.

Now consider the determinant of the matrix on the left-hand side of this equation. Since this matrix is obtained by multiplying the matrix whose columns are the vectors in S2 by the inverse of the matrix whose columns are the vectors in S1, its determinant is equal to the product of the determinants of these two matrices:

det([α1 α2 ... αn]) * det([β1 β2 ... βm]^-1) = det([α1 α2 ... αn] [β1 β2 ... βm]^-1)

The left-hand side is nonzero, since S1 and S2 are both bases of V and therefore their vectors are linearly independent, so the determinant of each matrix is nonzero. However, the right-hand side is zero, since the product of the two matrices on the right-hand side is the identity matrix, and the determinant of the identity matrix is 1.

This is a contradiction, so our assumption that S1 has more elements than S2 must be false. Therefore, S1 and S2 have the same number of elements, and the proof is complete.

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Answer:

m∠ x is 130° and m∠ y is 130°

Step-by-step explanation:

Based on the drawn example I gave would explain why

So because ∠AGF = ∠CHF that would make these two angles Corresponding angles and corresponding angles are congruent

Thus making ∠AGH or m∠ x equals 130°

Now we look at ∠DHE and ∠AGF these two angles would be classified as Alternate interior angles which would make them congruent to each other aswell

Thus making ∠DHG or m∠ y equals 130°

Reason also includes the fact that m∠ x and m∠ y would be alternate interior angles also

To find the derivatives of the given expressions, we can apply the chain rule, which states that the derivative of a composition of functions is equal to the derivative of the outer function multiplied by the derivative of the inner function.

(a) To find the derivative of f(g(x)), we start by differentiating the outer function f with respect to the inner function g(x), and then multiply it by the derivative of the inner function g(x) with respect to x.

df/dx = df/dg * dg/dx

df/dx = cos(g(x)) * (2x)

(b) To find the derivative of g(f(x)), we differentiate the outer function g with respect to the inner function f(x), and then multiply it by the derivative of the inner function f(x) with respect to x.

dg/dx = dg/df * df/dx

dg/dx = 2f(x) * cos(x)

Hence, the derivatives are:

(a) d/dx(f(g(x))) = cos(g(x)) * (2x)

(b) d/dx(g(f(x))) = 2f(x) * cos(x)

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The values of the unknown variables in the given figure are :

a = 20, b = 140°, x = 120° and y = 60°.

Given two parallel lines which are intersected by two transversal lines.

Here the pair of angles of measures 100 - 3a and a + 20 are corresponding angles.

By corresponding angles theorem, corresponding angles formed by two parallel lines and a transversal is congruent.

So,

100 - 3a = a + 20

-4a = -80

a = 20

So, a + 20 = 20 + 20 = 40°

Now, b and a + 20 are linear pair of angles and are thus supplementary.

b + a + 20 = 180

b = 180 - 40 = 140°

Now since, x and 120° are vertically opposite angles, they are congruent to each other.

So, x = 120°

Since x forms linear pair with the angle which is alternate interior angle with y, the angle = 180 - 120 = 60°

By the alternate interior angles theorem, y is equal to it's alternate interior angle which is of measure 60°.

So, y = 60°

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Answer: Each woman sold her apples at the rate of seven apples for I¢, and 3¢ each for the odd ones which were left over. this made it possible for each to receive the same amount, which is 20¢.

Step-by-step explanation:

given data:

20,

40,

60,

80,

100,

120,

140.

solution.

first woman 20 apples

= 2 + 3 * 6¢.

= 20¢.

second woman 40 apples

= 5 + 5 * 3¢.

= 20¢.

third woman 60 apples

= 8 + 4 * 3¢.

= 20¢.

fourth woman 80 apples

= 11 + 3 * 3¢.

= 20¢.

fifth woman 100 apples

= 14 + 2 * 3¢.

= 20¢.

sixth woman 120 apples

= 17 + 1 * 3¢.

= 20¢.

seventh woman 140 apples

= 20 * 1¢.

= 20¢.

Answer:

B

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

The best answer would be 16 I think

Step-by-step explanation:

15+9=24

40-24=16

Hope this helps sorry if its incorrect

Answer: -5

Step-by-step explanation:

im going to assume tomorrow means Two more.....

\(2+4x=-18\)

brilliant.

lets do opposite calculations to both sides. what is the opposite of 2? negative 2. so lets subtract 2 from both sides.

we get

\(4x=-20\)

ok so now we have 4 times x. what is the opposite of this? 4 DIVIDED BY x.

ok now lets do the same to the other side. what is negative 20 divided by 4?

\(x=-5\)

From the information provided in this question, it is not possible to accurately determine the proportion of winning actresses who were between 30 and 40 years old when they won the Oscar or the shape of the distribution.

The histogram only provides the frequencies (proportions) of actresses at different age ranges (e.g. 0.39, 0.40, 0.41, 0.45), but it does not provide information about the actual ages or the number of actresses.

In order to determine the proportion of winning actresses within a specific age range, additional information such as the number of actresses in each age group or a plot of the actual ages would be necessary. Similarly, the shape of the distribution cannot be determined accurately based on the information provided, as the histogram only provides the frequencies.

Therefore, the information provided is not sufficient to answer the questions asked.

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Answer:

x = 80

Step-by-step explanation:

if ray RU bisects <QRS that means it divided the angle into two equal parts

then we can write the following equation to find the value of x:

<SRU = <QRU

50 = (x/2 + 10) subtract 10 from both sides

40 = x/2 multiply both sides with 2

80 = x

<QRS = 100 because it's the sum of <SRU and <QRU

The integral for the volume V of the cut out is 2016πr^3.

The volume V of the cut out can be found using the integral:
V = ∫[A(x)]dx
Where A(x) is the area of the cross section of the cut out at a given x-value and the integral is taken over the length of the cut out.

In this case, the cross section of the cut out is a circle with radius 12r, so A(x) = π(12r)^2 = 144πr^2.
The length of the cut out is the diameter of the cylinder, or 2(7r) = 14r.
Therefore, the integral for the volume V of the cut out is:
V = ∫[144πr^2]dx from x = 0 to x = 14r
V = 144πr^2∫dx from x = 0 to x = 14r
V = 144πr^2(14r - 0)
V = 2016πr^3
So the integral for the volume V of the cut out is 2016πr^3.

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Answer:

this isnt the answer but it helps solve the equation so here is a little explanation

Step-by-step explanation:

Cost Equation

-Is a mathematical equation for a straight line, to predict total cost.

-Total cost = total variable cost + total fixed cost or Y = vx + f

-Y = total mixed cost

v = variable cost per unit of activity

x = volume of activity

f = fixed cost over a given period of time