3x12-14/2+15 using pemdas

Answer:

48048

Step-by-step explanation:

Total number of players = 16

Selection to be made :

1 goalie ; 10 players

Hence ;

Choosing 1 goalie from 16 players :

16C1

Choosing 10 players from the remaining (16 - 1), 15 players

15C10

Hence,

16C1 * 15C10

16 * 3003

= 48048

Rising to the left, rising to the right describes the end behavior of the function f(x) = -7(x - 3)(x+3)(6x + 1). The  correct answer is D.

The end behavior of a function refers to the behavior of the function as x approaches positive or negative infinity.

In the given function f(x) = -7(x - 3)(x + 3)(6x + 1), we can determine the end behavior by looking at the leading term, which is the term with the highest degree.

The highest degree term in the function is (6x + 1). As x approaches positive infinity, the term (6x + 1) will dominate the other terms, and its behavior will determine the overall end behavior of the function.

Since the coefficient of the leading term is positive (6x + 1), the function will rise to the left as x approaches negative infinity and rise to the right as x approaches positive infinity.

Therefore, the correct answer is D O rising to the left, rising to the right.

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The first derivative of G(r) is (3/2).
The second derivative of G(r) is (-3/4)/√(r³).

To find the first derivative of G(r), we use the power rule of differentiation:

G'(r) = (1/2)r(-1/2) + 5(1/2)r(-1/2)

Simplifying, we get:

G'(r) = (1/2)(1 + 5)√(r)/√(r)

G'(r) = (3/2)√(r)/√(r)

G'(r) = (3/2)

To find the second derivative, we differentiate G'(r) using the power rule again:

G''(r) = (-1/4)r(-3/2) + 5(-1/4)r(-3/2)

Simplifying, we get:

G''(r) = (-3/4)r(-3/2)

G''(r) = (-3/4)/√(r^3)

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Answer: x>1/6

Step-by-step explanation:

For this problem, you solve it as if it had an equal sign.

-2(8x-4)<2x+5                        [distribute -2]

-16x+8<2x+5                           [combine like terms by adding and subtracting on both sides]

3<18x                                      [divide both sides by 18]

x>1/6

See my answer sreenshot.

The problem states that there are 125 Grade 8 learners and that they jog and cycle in the ratio of 3:2. So we will take the total ratio of joggers and cyclers as 3 + 2 = 5.

In order to find out how many learners participate in each sport, we must first find the ratio of joggers to cyclers. We can do that by setting up a proportion:3/5 = joggers/1252/5 = cyclers/125Now we can solve for joggers and cyclers by cross multiplying:3/5 * 125 = joggers75 = joggers2/5 * 125 = cyclers50 = cyclersSo, there are 75 Grade 8 learners who jog and 50 Grade 8 learners who cycle. More than 250 learners will be participating in the activity.

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This probability is greater than 1, which is not possible.

This suggests that there may be an error in the problem statement, or that some additional information is required to correctly solve the problem.

The probability of a store being a Kwik Save is:

P(Kwik Save) = 1000 / (1000 + 424) = 1000 / 1424 = 0.7037

The probability of a store closing, given that it is a closing store, is:

P(closing| Kwik Save) = 107 / (107 + 324) = 107 / 431 = 0.2488

The probability of a store being a closing store is:

P(closing) = (107 + 324) / (1000 + 424) = 431 / 1424 = 0.3029

The probability of a randomly chosen store being either closing or Kwik Save is:

P(closing or Kwik Save) = P(closing) + P(Kwik Save) - P(closing and Kwik Save)

= 0.7037 + 0.3029 - (107 / 1424)

= 0.8997

The probability that a randomly selected store is not closing given that it is a Somerfield is:

P(not closing| Somerfield) = 1 - P(closingl Somerfield)

To find P(closing| Somerfield), we can use Bayes' theorem:

P(closing| Somerfield) = P(Somer field| closing) * P(closing) / P(Somerfield)

P(Somerfield| closing) is the probability that a store is a Somerfield given that it is closing.

Since all the Somerfield stores are closing, this probability is 1.

P(Somerfield) is the probability that a store is a Somerfield.

It is:

P(Somerfield) = 424 / (1000 + 424) = 424 / 1424 = 0.2980

Therefore,

P(closing| Somerfield) = 1 * 0.3029 / 0.2980 = 1.0151.

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The slope-intercept form is:

y = mx + b

Where

m is the slope

b is the y-intercept

Given Slope = 1/2, we can write:

Now, to find b, we put the point given (-7, -8), so:

Thus, we have the final equation as:

The area of the larger figure that is similar to the smaller one is: 28.2 m².

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

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Answer:

see explanation

Step-by-step explanation:

Using the chain rule along with standard derivatives

Given

y = f(g(x)) , then

\(\frac{dy}{dx}\) = f'(g(x)) × g'(x)

\(\frac{d}{dx}\) (sinx) = cosx , \(\frac{d}{dx}\) (cosx) = - sinx

(a)

y = sin x²

\(\frac{dy}{dx}\) = cos x² × \(\frac{d}{dx}\) (x² )

   = cos x² × 2x

   = 2xcosx²

(b)

y = cos4x³

\(\frac{dy}{dx}\) = - sin4x³ × \(\frac{d}{dx}\) (4x³ )

   = - sin4x³ × 12x²

   = - 12x²sin4x³

The weight of an object with a mass of 2 kg would be 6 N on this planet, assuming the direct variation relationship holds.According to the given information, the weight of an object varies directly with its mass.

This implies that there is a constant of proportionality between weight and mass. Let's denote this constant as k.

From the given data, we have:

Mass = 5 kg

Weight = 15 N

Using the direct variation equation, we can write:

Weight = k * Mass

Substituting the given values, we have:

15 N = k * 5 kg

To find the value of k, we divide both sides of the equation by 5 kg:

k = 15 N / 5 kg = 3 N/kg

Now that we know the constant of proportionality, we can find the weight of an object with a mass of 2 kg:

Weight = k * Mass = 3 N/kg * 2 kg = 6 N.

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The goal is to solve the formula g(x) = Σ f(e) for all x ∈ P,This can be done using the Möbius function formula, which involves calculating the Möbius function and applying it to the given formula.

To solve the formula g(x) = Σ f(e) for all x ∈ P, we can utilize the Möbius function formula. The Möbius function is a key concept in posets, and it provides a way to calculate the values of f(x) from the values of g(x).

The Möbius function formula states that for any x ∈ P:

g(x) = Σ µ(x, y) * f(y),

where the summation is taken over all y such that y ≤ x, and µ(x, y) represents the Möbius function. The Möbius function can be calculated recursively based on the relations between elements in the poset.

By applying the Möbius function formula to the given formula g(x) = Σ f(e), we can determine the values of f(x) for all x in the poset P. This involves computing the Möbius function µ(x, y) and evaluating the summation over appropriate values of y. The solution will provide the values of f(x) that satisfy the given formula for all x in the poset.

It is important to note that the specific calculation of the Möbius function and the summation will depend on the properties and structure of the poset P. The Möbius function formula offers a systematic approach to solve the given equation and determine the values of f(x) based on the poset's ordering and the functions involved.

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From the problem, we have the formula :

Solving for h in terms of T and r will be :

The answer is :

Answer:

60 feet

Step-by-step explanation:

Perimeter is the sum of the four sides of a rectangle

the formula for the perimeter of a rectangle = 2 x (length + breadth)

2 x (10 + 20)

2 x (30)

= 60 feet

Alternatively, you can add the sides together : 10 + 10 + 20 + 20 = 60 feet

Answer:

12

Hope this helps! -xox

Answer:

59

Step-by-step explanation:

They could buy 59

You solve this by dividing the total amount of money ($2183) by the other amount ($37) which is 59

Given:

The sum of two numbers is 24 and their difference is one sixth of the sum.

To find:

The smaller number between the two numbers.

Solution:

Let x and y be the two numbers where x>y.

The sum of two numbers is 24.

\(x+y=24\)           ...(i)

Their difference is one sixth of the sum.

\(x-y=\dfrac{1}{6}\times 24\)

\(x-y=4\)              ...(ii)

Adding (i) and (ii), we get

\(2x=28\)

\(x=\dfrac{28}{2}\)

\(x=14\)

Putting \(x=14\) in (i), we get

\(14+y=24\)

\(y=24-14\)

\(y=10\)

The two numbers are 14 and 10.

Therefore, the smaller number between the two numbers is 10.

A price floor is a law that limits the minimum price at which a good, service, or factor of production can be sold while a price ceiling is a regulation that limits the maximum price at which a good, service, or factor of production can be sold

Price floors are commonly implemented to support producers, while price ceilings are typically put in place to protect consumers from higher prices that might result from shortages or monopolies.

Example of Price Floor:Agricultural subsidies are a common example of price floors. Government price floors ensure that farmers receive a minimum price for their crops.

If the market price of wheat falls below the government-established price floor, the government may buy the excess supply at the guaranteed price, ensuring that farmers are able to make a profit. If there is a price floor, the minimum price is set above the equilibrium price.

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Answer:

\(6(a - 2) = 6a - 12\)

In order to calculate how much money will be needed, we just need to multiply the area of floor needed by the cost of each square meter:

Rounding to the nearest hundredth, we have a total cost of $33.67.

I hope this helps you

if he can drive 100 miles in 2 hours

500 miles how long will it take?

500.2=100.?

?=10 hours

The probability of getting a yellow marble and an odd number is 0.125 or 12.5%.

To determine the probability of getting a yellow marble and an odd number, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of possible outcomes:

Since there are 4 marbles and 6 possible outcomes from the number cube, the total number of possible outcomes is 4 * 6 = 24.

Number of favorable outcomes:

There is only 1 yellow marble, and there are 3 odd numbers on the number cube (1, 3, and 5). The favorable outcome is the event of selecting the yellow marble and rolling an odd number. Therefore, the number of favorable outcomes is 1 * 3 = 3.

Probability:

The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Favorable outcomes / Total outcomes = 3 / 24 = 1 / 8 = 0.125 or 12.5%.

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Answer:

\(3^{1.5}\)

Step-by-step explanation:

\(3 = 3^1\)

\(\sqrt{3} = x^{0.5}\)

\(3*\sqrt{3} = 3^{1} * 3^{0.5} = 3^{1 + 0.5} = 3^{1.5}\)

In such a situation, I would choose not to endorse the athlete.

From a Christian worldview perspective, moral, ethical, and character standards hold significant importance. Athlete endorsers, as role models, should strive to uphold positive character traits and high moral standards. However, it is evident that in recent years, some athletes have challenged this notion.

When faced with the decision to sign an athlete endorser with questionable character or conflicting moral and ethical values, it is crucial to prioritize one's own values and beliefs. As a Christian, I would consider the impact of endorsing such an athlete on my personal integrity, as well as the message it sends to others.

It is essential to remain true to one's own moral compass and avoid promoting behavior that goes against Christian values. By doing so, I would be staying consistent with my beliefs and upholding the standards I hold dear.

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Answer:

1.8 hours.

Step-by-step explanation:

It is important to note that:

Speed = Distance ÷ Time

We have two trains.

Step 1

We have to find the distance that each train travelled.

Since Speed = Distance ÷ Time

Distance = Speed × Time

First train

It travels at 105 miles per hour

Distance travelled by first train =

105 × x hours

= 105x miles

Second Train

It travels at 85 miles per hour

Distance travelled by the second train = 85 miles × x hours

= 85x miles

We are told that: the two trains leave stations 342 miles apart at the same time and travel toward each other

Hence, the time it would take each train to meet each other is calculated as:

105x + 85x = 342 miles

190x = 342 miles

x = 342/190

x = 1.8 hours.

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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∂w/∂r = (y * yz * zx) * (∂x/∂r) + (x * yz * zx) * (∂y/∂r) + (x * y * zx) * (∂z/∂r)

∂w/∂θ = (y * yz * zx) * (∂x/∂θ) + (x * yz * zx) * (∂y/∂θ) + (x * y * zx) * (∂z/∂θ)

To find the partial derivative ∂w/∂r, we use the chain rule. We differentiate each term in the expression for w with respect to r, while considering the chain rule for each variable. Since x = r * cos(θ), y = r * sin(θ), and z = r, we find the partial derivatives (∂x/∂r), (∂y/∂r), (∂z/∂r), (∂x/∂θ), (∂y/∂θ), and (∂z/∂θ).

For ∂w/∂r, we differentiate each term with respect to r, resulting in (y * yz * zx) * cos(θ) + (x * yz * zx) * sin(θ) + (x * y * zx). Similarly, for ∂w/∂θ, we differentiate each term with respect to θ, resulting in (-y * yz * zx) * r * sin(θ) + (x * yz * zx) * r * cos(θ).

Given that r = 4 and θ = 2, we substitute these values into the respective expressions to obtain the numerical values for ∂w/∂r and ∂w/∂θ.

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