Put the following numbers in order from least to greatest.-8, 15, 9, -6, -3, 12, 0, -4

To calculate the angle required for the shot to score a goal in hockey, we can use trigonometry.

The distance between the player and the center of the net can be found by calculating the midpoint between the two goal posts, which is (1.8 m/2) = 0.9 m from each post. Therefore, the distance from the player to the center of the net is (0.9 m + 6 m) = 6.9 m.

To find the angle within which the player must shoot to score a goal, we can use the Law of Cosines. Let's label the points as follows:

- A: the position of the player
- B: the first goal post (6 m away)
- C: the second goal post (6.7 m away)
- D: the point on the net directly across from the player

The width of the net (1.8 m) is the length of segment CD.

1. Calculate the length of segment AD using the Pythagorean theorem:
AD = √(AC² - CD²) = √(6.7² - 1.8²) ≈ 6.54 m

2. Now, apply the Law of Cosines to find the angle ∠BAD:
cos(∠BAD) = (AB² + AD² - BC²) / (2 * AB * AD) = (6² + 6.54² - 6.7²) / (2 * 6 * 6.54) ≈ 0.531

3. Calculate the angle ∠BAD:
∠BAD = arccos(0.531) ≈ 58.3°

The player must keep her shot within an angle of approximately 58.3° to score a goal.

To learn more about angle : brainly.com/question/28451077

#SPJ11

Answer:

x=3y-29/y-8

Step-by-step explanation:

3(y-10)+1=x(y-8)

xy-8x=3y-29

x(y-8)=3y-29

/y-8        /y-8

x=3y-29/y-8

Answer:

Step-by-step explanation:

graph b and a is negative because it does not start at point 0 and has a straight line that passes through the origin

Answer

1N^2+5 = 6

1^2 is still 1 + 5 = 6

I think I am not 100% sure

Option A is the correct answer which is t=(v-u)/a

This equation defines the behaviour of a physical scheme in order of its movement as a function of time in Newtonian mechanics

where:

v= final velocity

u= initial velocity

t= time

a= acceleration

Now from the following equation

v-u=at(rearrange the term)

For more information on the equation of motion

https://brainly.in/question/15637862?referrer=searchResults

https://brainly.in/question/17833340?referrer=searchResults

South Carolina can produce 26x26x10x10x10 = 676,000 different license plates with the configuration digit, letter, digit, letter, digit, digit.

Permutations are arrangements of objects in a specific order. For example, if you have the letters A, B, and C, the possible permutations are ABC, ACB, BAC, BCA, CAB, and CBA. Permutations are often used to calculate the total number of possible combinations for a given set of objects, as each permutation is a unique combination. For example, if you have three letters and three digits, the total number of permutations is 26x10x10x26x26x10 = 17576000.

Learn more about permutations:

https://brainly.com/question/1216161

#SPJ4

Answer:$52=7+5+5+5+5+5+5+5+5+5

To derive the demand function from the given utility function and endowment, we need to determine the optimal allocation of goods that maximizes utility. The utility function is U(x, y) = -e^(-x) - e^(-y), and the initial endowment is (1, 0).

To derive the demand function, we need to find the optimal allocation of goods x and y that maximizes the given utility function while satisfying the endowment constraint. We can start by setting up the consumer's problem as a utility maximization subject to the budget constraint. In this case, since there is no price information provided, we assume the goods are not priced and the consumer can freely allocate them.

The consumer's problem can be stated as follows:

Maximize U(x, y) = -e^(-x) - e^(-y) subject to x + y = 1.

To solve this problem, we can use the Lagrangian method. We construct the Lagrangian function L(x, y, λ) = -e^(-x) - e^(-y) + λ(1 - x - y), where λ is the Lagrange multiplier.

Taking partial derivatives of L with respect to x, y, and λ, and setting them equal to zero, we can find the values of x, y, and λ that satisfy the optimality conditions. Solving the equations, we find that x = 1/2, y = 1/2, and λ = 1. These values represent the optimal allocation of goods that maximizes utility given the endowment.

Therefore, the demand function derived from the utility function and endowment is x = 1/2 and y = 1/2. This indicates that the consumer will allocate half of the endowment to each good, resulting in an equal distribution.

Learn more about partial derivatives here: brainly.com/question/32624385

#SPJ11

Answer:

6cm

Step-by-step explanation:

The formula for the surface area of a sphere = 4πr²

From the Question, we are given:

The surface area of a sphere = 144pi square centimeters = 144π cm²

The length of the radius of the sphere, in centimeters is calculated by:

4πr² = 144π

Divide both sides by 4π

4πr²/4π = 144π/4π

r² = 36

Square root both sides

√r² = √36

r = 6cm

Therefore, the length of the radius of the sphere, in centimeters is 6 centimeters.

Answer:

17

Step-by-step explanation:

Look at Triangle ABC, The rays meet at line BC and they are both from the interior point A. So this means that AB=AC. This makes ABC a isosceles triangle. Using the isosceles triangle theorem, Angle B and Angle C measure is equal to each other so

\(50 + x + x = 180\)

\(50 + 2x = 180\)

\(2x = 130\)

\(x = 65\)

This means angle b and C of the triangle ABC measure is 65.

External bisector bisect a figure that it makes the original angle split into half that they are equal to each other.

This means the angle below Angle B and angle C measure is 32.5. We can find the measure of Angle B and C in triangle BOC. This is a isosceles triangle as well so

\(32.5 + 65 + x = 180\)

\(98.5 + x = 180\)

\(x = 81.5\)

Angle C is 81.5 as well so

\(81.5 + 81.5 = 163\)

Find angle o

\(180 - 163 = 17\)

There are 42 subsets of size two that contain at least one of the elements of {1, 2, 3}.

There are \(${8\choose2}=28$\) subsets of size two that can be formed from the set {1, 2, 3, 4, 5, 6, 7, 8}.

To count the number of subsets of size two that contain at least one of the elements of {1, 2, 3}, we can use the principle of inclusion-exclusion.

Let A be the set of subsets of size two that contain 1, B be the set of subsets of size two that contain 2, and C be the set of subsets of size two that contain 3. We want to count the size of the union of these three sets, i.e., the number of subsets of size two that contain at least one of the elements of {1, 2, 3}.

By the principle of inclusion-exclusion, we have:

|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|

To calculate the sizes of these sets, we can use combinations. For example, |A| is the number of subsets of size two that can be formed from {1, 2, 3, 4, 5, 6, 7, 8} with 1 as one of the elements. This is equal to \(${3\choose1}{5\choose1}=15$\), since we must choose one of the three elements in {1, 2, 3} and one of the five remaining elements.

Similarly, we have:

|A| = \(${3\choose1}{5\choose1}=15$\)

|B| = \(${3\choose1}{5\choose1}=15$\)

|C| = \(${3\choose1}{5\choose1}=15$\)

|A ∩ B| = \(${2\choose1}{5\choose0}=2$\), since there are two elements in {1, 2} that must be included in the subset, and we can choose the other element from the remaining five.

|A ∩ C| = \(${2\choose1}{5\choose0}=2$\)

|B ∩ C| = \(${2\choose1}{5\choose0}=2$\)

|A ∩ B ∩ C| = \(${3\choose2}=3$\), since there are three elements in {1, 2, 3} and we must choose two of them.

Substituting these values into the inclusion-exclusion formula, we get:

|A ∪ B ∪ C|\(= 15 + 15 + 15 - 2 - 2 - 2 + 3 = 42\)

Therefore, there are 42 subsets of size two that contain at least one of the elements of {1, 2, 3}.

To learn more about subsets visit: https://brainly.com/question/24138395

#SPJ11

The coin purse hit the ground in 3 seconds.

Given :

\($\mathrm{f}(\mathrm{t})=16 \mathrm{t}^2$\) ----- (represent the distance(in feet) a dropped object falls in t seconds)

\($\mathrm{g}(\mathrm{t})=\mathrm{s}_0=144 \mathrm{ft}$\) ------ (represent the initial height (in feet) of the coin purse)

The function that represents the distance a dropped coin purse falls in t seconds,

\($f(t)=144-16 t^2$\)

When the coin purse touches the ground,

\($f(t)=0$\)

\($0=144-16 t^2$\)

\($t^2=\frac{144}{16}=9$\)

t = +3 and t = -3

So we take positive t.

Therefore, the coin purse hit the ground in 3 seconds.

To learn more about  function visit:https://brainly.com/question/21145944

#SPJ4

Answer:

the question is not complete pls complete the question even though the formulas are lxb for rectangles area and SxS for squares area

The equivalence classes are [1] = {1} and [2] = [3] = {2, 3}.

The equivalence classes of the set R, which defines an equivalence relation on the set {1, 2, 3}, are as follows:

1. Identify the elements of the set: {1, 2, 3}
2. Group elements according to the equivalence relation R = {(1, 1), (2, 2), (3, 3), (2, 3), (3, 2)}
3. Create equivalence classes based on R:
  - [1] = {1} (since only (1, 1) ∈ R)
  - [2] = {2, 3} (since (2, 2), (2, 3), and (3, 2) ∈ R)
  - [3] = {2, 3} (since (3, 3), (2, 3), and (3, 2) ∈ R)

You can learn more about equivalence classes at: brainly.com/question/30340682

#SPJ11

The percent recovery of benzoic acid is equal to 80.0 if the mass of purified benzoic acid after recrystallization is 1.611 g.

The percent recovery can be described as the amount of a product available after its production and purification.

The percent recovery of benzoic acid can be calculated by using the following formula:

percent recovery of sample = (Mass of purified sample ÷ Mass of contaminated sample) × 100

Substituting the given values of contaminated and purified benzoic acid in this equation;

percent recovery = (1.611 ÷ 2.014) × 100

percent recovery = 0.7999 × 100

percent recovery = 79.99

Rounding it to the nearest tenth;

percent recovery = 80.0

Hence the percent recovery of benzoic acid is calculated to be 80.0

To learn more about percent recovery, click here:

https://brainly.com/question/26415045

#SPJ4

Answer:

5/12

Step-by-step explanation:

i just looked it up...

====================================================

Explanation:

Multiply top and bottom of 5/8 by 3 to get 15/24

This means 5/8-5/24 is the same as 15/24-5/24

The denominators are the same, so we can subtract the numerators to have them placed over the common denominator

15/24 - 5/24 = (15-5)/24 = 10/24

Then we reduce by dividing each part of the fraction by the GCF 2

10/2 = 5

24/2 = 12

Meaning that 10/24 = 5/12

Note how multiplying top and bottom of 5/12 by 2 leads to 10/24 again.

So overall,

5/8 - 5/24 = 5/12

Answer:

since it is a right triangle it is 35 i think

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Use the Pythagorean theorem:

a^2 + b^2 = c^2

35^2 + b^2 = 37^2

1225 + b^2 = 1369

b^2 = 44

b = 12

Answer: 12

Answer:

\(T(2,4) and U(11,13)\)

Step-by-step explanation:

Answer:

Answer: There is 32in² more sand in the pyramid with greater volume.

step explanation:

Yes, the table contains the solution of the system of equations, and the solution is (7, 6).

Here we have a table that defines a system of equations of the form:

ya = f(x)

yb = f(x)

And a solution of that system is a point of the form:

yb = f(x) = ya

So we wan to find a pair such that for the same value of x, the values of ya and yb are the same ones.

We can see that when x = 6 that happens, then yes, the table has the solution to the system of equations, and the solutions is (6, 7)

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

Answer:

Step-by-step explanation:

Among the followings A, C, D, and F subsets of P2 are subspaces of P2.

The subsets of P2 that are subspaces of P2 are A, C, D, and F.

A. {p(t) | p′(t)+4p(t)+9=0} is a subspace of P2 because it satisfies the criteria of being closed under addition and scalar multiplication.

B. {p(t) | p′(0)=p(4)} is not a subspace of P2 because the derivative of p(0) does not equal p(4).

C. {p(t) | p(2)=0} is a subspace of P2 because it satisfies the criteria of being closed under addition and scalar multiplication.

D. {p(t) | p′(t) is constant } is a subspace of P2 because it satisfies the criteria of being closed under addition and scalar multiplication.

E. {p(t) | 6) =2} is not a subspace of P2 because the derivative of p(6) does not equal 2.

F. {p(t) | p(−t) =p(t) for all t} is a subspace of P2 because it satisfies the criteria of being closed under addition and scalar multiplication.

To know more about scalar multiplication, Refer here:

https://brainly.com/question/8349166

#SPJ11

The correct options are:

They can work to decrease their marginal cost.

They can raise prices to increase marginal revenue.

They can keep marginal costs below marginal revenues.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

Producers can make the most profit by:

Working to decrease their marginal cost.

Keeping marginal costs below marginal revenues.

Raising prices to increase marginal revenue, as long as it does not decrease demand for their product.

Therefore, the correct options are:

They can work to decrease their marginal cost.

They can raise prices to increase marginal revenue.

They can keep marginal costs below marginal revenues.

To learn more about the equivalent expression visit:

https://brainly.com/question/2972832

#SPJ1

The values of x for which the series converges is (-4,4)

The sum of the series for these values of x is x/(4-x)

The question stated can be solved by using concept of Geometric series converges .

By the geometric series theorem , we can say ,

if |r| < 1 , series converges

if |r| >= 1 , series diverges

∑\((x/4)^{n}\)  n ranges from (1,∞)

r=x/4

By geometric series converge theorem,

|r| < 1

|x/4| < 1

|x|<4

-4 < x < 4

Therefore , the mentioned series converges when x lies between (-4,4)

Now to find sum we have a formula ,

(r^(lower limit))/1-r

Now substituting the values that is r=x/4 and lower limit=1 , we have

\(\frac{x/4 }{1-x/4} }\)

After solving this , we have the required sum as x/(4-x)

To know more about geomteric series refer to the link below:

https://brainly.com/question/24643676

#SPJ4

Answer:

I quite dont get the question do u mind putting something thats explains what u want

Step-by-step explanation:

Answer:

0

(I'm sorry if this is wrong.)

Answer:

2 4 6 8 10 12 14 16.....................................................

Answer:

even numbers are

Step-by-step explanation:

2,4,6,8,10,12,14,16,18,20,24,26 and so on

Answer:

x= -36

Step-by-step explanation:

x/9=-4

multiply both sides by 9 and that will be x= -36

Based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

A confidence interval is a range of values that provides an estimate of the true population parameter. In this case, we are interested in estimating the population mean (μ). The 95% confidence interval, as mentioned, is given as 12.65 ≤ μ ≤ 25.65.

Interpreting this confidence interval, we can say that if we were to repeat the sampling process many times and construct 95% confidence intervals from each sample, approximately 95% of those intervals would contain the true population mean.

The confidence level chosen, 95%, represents the probability that the interval captures the true population mean. It is a measure of the confidence or certainty we have in the estimation. However, it does not guarantee that a specific interval from a particular sample contains the true population mean.

Therefore, based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

Learn more about confidence interval here:

https://brainly.com/question/13067956

#SPJ11