A cube with sides 11 inches long is covered with a coat of fiberglass 0.7 inch thick. Use differentials to estimate the volume of the fiberglass shell. The volume or the fiberglass shell is approximately in^3.

Let g be the function defined by g(x)=∫x−1(−12+cos(t3+2t))ⅆt for 0.471. The answer is option (a).

To find g(a), we need to substitute the value of a in the given integral and then evaluate it. So,

g(a) = ∫a⁻¹ (-12 + cos(t³+2t)) dt

Using substitution u = t³ + 2t, du/dt = 3t² + 2, dt = du/(3t²+2)

When t = a, u = a³ + 2a, and when t = -1, u = -1

So, we have

g(a) = ∫(a³+2a)⁻¹ (-12 + cos(u)) / (3t²+2) du

Using the properties of definite integrals, we can write this as

g(a) = [-1/3 ∫(a³+2a)⁻¹ cos(u) du] - 12∫(a³+2a)⁻¹ [1/(3t²+2)] du

The first integral can be evaluated using integration by substitution, with v = sin(u), dv = cos(u) du

g(a) = [-1/3 sin((a³+2a))] - [4√3/9 arctan((√3/3)(a²+2)/√2)] - [8/9 ln((√3a²+2a+2)/(√2))] - [4/9 ln(2+√6)]

Using the given value of a, we can substitute and evaluate g(a).

g(0.5) = [-1/3 sin((0.5³+2(0.5)))] - [4√3/9 arctan((√3/3)(0.5²+2)/√2)] - [8/9 ln((√3(0.5)²+2(0.5)+2)/(√2))] - [4/9 ln(2+√6)]

≈ 0.471

Therefore, the value of g(a) at a=0.5 is approximately 0.471. The answer is option (a).

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Answer:

О  D.  [tex]\frac{5}{9}v - \frac{5}{9}[/tex]

Step-by-step explanation:

[tex]\frac{2}{9}v - (-\frac{1}{3}v + \frac{5}{9})\\ The rule is:\\ - * - = +\\ - * + = -\\Then:\\\frac{1}{3} = \frac{3}{9}\\\\\\[/tex]

[tex]= \frac{2}{9}v - (-\frac{3}{9}v + \frac{5}{9})\\\\ = \frac{2}{9}v + \frac{3}{9}v - \frac{5}{9}\\\\ = \frac{5}{9}v - \frac{5}{9}[/tex]

The question asks us to prove that if X and Y are Bernoulli random variables and f : {0, 1} → {0, 1} is a function, then f(X) and Y are independent. To prove this statement, we will make use of the fact that if two random variables X and Y are independent, then the joint probability of X and Y is equal to the product of the two marginal probabilities.

The probability of X taking a value of 0 or 1 can be given as P(X = 0) = p and P(X = 1) = q. Similarly, the probability of Y taking a value of 0 or 1 can be given as P(Y = 0) = r and P(Y = 1) = s. Then, the joint probability of X and Y can be given as P(X = 0, Y = 0) = pr, P(X = 0, Y = 1) = ps, P(X = 1, Y = 0) = qr, and P(X = 1, Y = 1) = qs.

Now, if X and Y are independent, then P(X = 0, Y = 0) = pr = P(X = 0) * P(Y = 0) = p * r and similarly P(X = 0, Y = 1) = ps = P(X = 0) * P(Y = 1) = p * s, P(X = 1, Y = 0) = qr = P(X = 1) * P(Y = 0) = q * r and P(X = 1, Y = 1) = qs = P(X = 1) * P(Y = 1) = q * s. Now, if f : {0, 1} → {0, 1} is a function and f(X) and Y are independent, then the joint probability of f(X) and Y can be given as P(f(X) = 0, Y = 0) = P(X = 0, Y = 0) = pr, P(f(X) = 0, Y = 1) = P(X = 0, Y = 1) = ps, P(f(X) = 1, Y = 0) = P(X = 1, Y = 0) = qr and P(f(X) = 1, Y = 1) = P(X = 1, Y = 1) = qs.

Therefore, we can conclude that if X and Y are Bernoulli random variables and f : {0, 1} → {0, 1} is a function, then f(X) and Y are independent if and only if P(f(X) = 0, Y = 0) = P(X = 0, Y = 0) = pr, P(f(X) = 0, Y = 1) = P(X = 0, Y = 1) = ps, P(f(X) = 1, Y = 0) = P(X = 1, Y = 0) = qr and P(f(X) = 1, Y = 1) = P(X = 1, Y = 1) = qs. This concludes the proof.

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7 fishes οf the new released initially in the given expοnential pοpulatiοn grοwth. (οptiοn c)

Expοnential pοpulatiοn grοwth means that whatever the pοpulatiοn size is, it keeps increasing because the pοpulatiοn per individual remains the same, accelerating pοpulatiοn grοwth that is limited by limited resοurces. Hence, this increase in pοpulatiοn size is knοwn as expοnential pοpulatiοn grοwth.

The grοwth οf their pοpulatiοn is mοdeled by the expοnential functiοn

P(t)=[tex]7b^{t}[/tex] ,where t is the time in weeks after the release and b is a pοsitive unknοwn base.

Initially that is t=0

sο fοr t=0,

p(0)=7×1 [since sοmething tο the pοwer zerο is equal tο 1]

Hence, P(0)=7

sο there were 7 fishes initially.

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The volumes of the solids generated by rotating the given region around the given axis of rotation are 200π, 120π, 200π, and 80π, respectively.

Pappus' Theorem is a mathematical theorem that relates the volume of a solid generated by rotating a plane region about an external axis to the area of the region and the distance traveled by the region's centroid during the rotation. The theorem can be applied to find the volume of solids generated by rotating the given region around the given axis of rotation.

a. If region R having an area of 20 and centroid (3,5) is rotated around x-axis, the volume of the solid generated is given by:
V = 2π(5)(20) = 200π

b. If region R having an area of 20 and centroid (3,5) is rotated around y-axis, the volume of the solid generated is given by:
V = 2π(3)(20) = 120π

c. If region R having an area of 20 and centroid (3,5) is rotated around x=2, the volume of the solid generated is given by:
V = 2π(5)(20) = 200π

d. If region R having an area of 20 and centroid (3,5) is rotated around y=1, the volume of the solid generated is given by:
V = 2π(2)(20) = 80π

Therefore, the volumes of the solids generated by rotating the given region around the given axis of rotation are 200π, 120π, 200π, and 80π, respectively.

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To solve the recurrence relation T(n) = T(n/2) + 2^n using the master theorem, we need to compare the function 2^n with n^(log_b a) = n^(log_2 1) = n^0 = 1.

Since 2^n grows much faster than n^0, we can apply case 3 of the master theorem, which states that if f(n) = 2^n, and if there exists a constant ε > 0 such that f(n) = Ω(n^(log_b a + ε)), then T(n) = Θ(f(n)).

In our case, since 2^n = Ω(n^(0 + ε)) for any ε > 0, we can conclude that T(n) = Θ(2^n).

Therefore, the solution to the recurrence relation T(n) = T(n/2) + 2^n is T(n) = Θ(2^n).

The volunteer firemen sold 245 meals at their breakfast fund-raiser to raise $1,470 for new equipment.

Let's assume that the number of meals sold is "x". Then, the total amount of money raised from the fund-raiser is given by:

Total amount = Number of meals sold x Cost per meal

We know that the cost per meal is $6.00, so we can write:

Total amount = 6x

We also know that the total amount raised was $1,470, so we can set up an equation:

6x = 1,470

Solving for x, we get:

x = 245

Therefore, the firemen sold 245 meals at the fund-raiser.

Revenue refers to the total amount of money that a business or organization earns through its operations or sales over a particular period. It is the income generated from the sale of goods or services or any other business activity that brings in money.

Revenue is an essential financial metric for businesses as it represents the amount of money a company has available to cover its expenses, invest in new opportunities, and ultimately generate profit. A company's revenue can be calculated by multiplying the price of its goods or services by the number of units sold, or by adding up all the sources of income the company has earned over a specific period.

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Answer:

4090

Step-by-step explanation:

Answer:

4090

Step-by-step explanation:

We can do the opposite to get your answer.

By multiplying by 1000

4.09 * 1000 =

4090

May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!

The system οf inequalities that represents Tim's stοre needs is G≥9, B+G≥ 12.

Optiοn (A) is cοrrect.

In mathematics, an inequality is a statement that cοmpares twο values and indicates whether they are equal, nοt equal, greater than, οr less than each οther. An inequality is represented using symbοls such as "<" (less than), ">" (greater than), "≤" (less than οr equal tο), "≥" (greater than οr equal tο), οr "≠" (nοt equal tο).

The system οf inequalities that represents Tim's stοre needs is:

G ≥ 9 (Tim needs at least 9 mοre pοunds οf green tea)

B + G ≥ 12 (Tim needs at least 12 pοunds οf tea in tοtal)

Let G represent the amοunt οf green tea and B represent the amοunt οf black tea.

Tim needs at least 9 mοre pοunds οf green tea, sο we can write G ≥ 9.

Tim needs at least 12 pοunds οf tea in tοtal, which means the sum οf the amοunts οf black and green tea shοuld be at least 12. Therefοre, we can write B + G ≥ 12.

Sο the cοrrect οptiοn is A. G≥9, B+G≥ 12

Hence, the system οf inequalities that represents Tim's stοre needs is G≥9, B+G≥ 12.

Optiοn (A) is cοrrect.

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Answer:

38 pennies.

Step-by-step explanation:

25 - 12 = 13

25 + 13 = 38

Answer:

2.  Alternate Interior Angles

3.  ∠L ≅ ∠P

4.  Definition of similar triangles (2 sets of corresponding angles are equal)

The person would save $404 by choosing the HMO for physical therapy sessions.

Total cost refers to the overall expense incurred by a business or an individual to produce or acquire a product or service.

Let's first calculate the total cost of physical therapy sessions without insurance:

Total cost = 12 sessions * $145 per session = $1740

With the insurance policy, the person has to pay a deductible of $580 first. After that, the insurance will cover 80% of the remaining cost. So, the person pays:

($1740 - $580) * 0.2 = $232

Therefore, with the insurance policy, the person pays $580 + $232 = $812 for 12 physical therapy sessions.

If the person opts for the HMO instead, the cost would be $34 per session, so:

Total cost = 12 sessions * $34 per session = $408

Therefore, the person would save:

$812 (with insurance) - $408 (with HMO) = $404

So, the person would save $404 by choosing the HMO for physical therapy sessions.

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A homogeneous system of 4 equations in 5 unknowns that has (-1,2,5,0,-2) as a solution is guaranteed to have infinitely many solutions.

A "homogeneous-system" of linear equations is defined as the system of equations where all the constants are zero.

A homogeneous system always has "at-least" one solution which is the trivial solution where all variables are zero.

The "rank" of the matrix corresponding to coefficients of the variables is less than the number of variables.

Therefore, there are infinitely many solutions.

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Theorem 8.1: If f is continuous on the closed interval [a, b], then f is bounded on [a, b]. 

 If f is discontinuous at any point in the interval [a, b], then the conclusion of Theorem 8.1 is false. To prove this, let us consider an example of a discontinuous function f defined on the closed interval [a, b]. Let f(x) = {1, for x ∈ [a, b] and 0, for x ∉ [a, b]}.

Clearly, f is discontinuous at any point in the interval [a, b] and is not bounded. Thus, the conclusion of Theorem 8.1 is false.

If f is continuous at all but a finite number of points in the interval [a, b] and is bounded, then the conclusion of Theorem 8.1 is true. To prove this, let us consider a function f defined on the closed interval [a, b].

Let f(x) = x2.

Clearly, f is continuous at all but a finite number of points in the interval [a, b] and is bounded. Thus, the conclusion of Theorem 8.1 is true.

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The probability of being dealt a 9, 10, jack, queen, king, all in the same suit is 0.000154%.

Dealing 5 cards from a standard 52-card deck constitutes a specific type of event that can be explained using probability.

In order to calculate the probability of being dealt a 9, 10, jack, queen, king, all in the same suit, it is important to know the different card combinations that can occur during the experiment.
There are four suits in a standard 52-card deck: hearts, clubs, diamonds, and spades. Each suit has 13 cards, which are numbered 2 to 10, plus the ace, king, queen, and jack.
The probability of being dealt a 9, 10, jack, queen, king, all in the same suit is calculated using the following formula:
Number of ways to get a 9, 10, jack, queen, king, all in the same suit / Total number of possible 5-card hands
The number of ways to get a 9, 10, jack, queen, king, all in the same suit is calculated as follows:
There are 4 suits, and we need all five cards to be in the same suit. Therefore, there are 4 ways to choose the suit for the hand.
Once the suit is chosen, there are only 1 possible combination of cards that includes the 9, 10, jack, queen, and king.

Therefore, there is only 1 way to choose the actual cards for the hand.
The total number of possible 5-card hands is calculated using the formula:
52C5 = (52!)/((52-5)!5!) = 2,598,960
Therefore, the probability of being dealt a 9, 10, jack, queen, king, all in the same suit is:
4*1 / 2,598,960 = 0.000154%

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Answer:

  y-axis

Step-by-step explanation:

You want the axis that is an asymptote to the function y = log₃(x).

The value of a log function tends to -∞ when its argument approaches zero. That means the y-axis is an asymptote.

__

Additional comment

There are only two axes involved in a graph of y = log₃(x). If the x-axis is not an asymptote, then the only remaining axis must be. That would be the y-axis.

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The correct answer is 18. Ricardo's answer would be incorrect because he used curly braces instead of square brackets and ignored the missing opening bracket.

Assuming the correct expression is 3x[(2x8)-6-4], we can simplify it using the order of operations (PEMDAS) to get:

3x[(16)-6-4]

3x[6]

= 18

Therefore, the correct answer is 18. However, if the missing bracket is not added and the expression is evaluated as 3x{2x8-6-4], it would be interpreted as:

3x[2x8-6-4]

3x[8]

= 24

Thus, Ricardo's answer would be incorrect because he used curly braces instead of square brackets and ignored the missing opening bracket. It's essential to follow the correct syntax and order of operations when evaluating mathematical expressions to obtain accurate results.

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The value of [tex]n = 3m[/tex] after solving the equation.

In mathematics, an equatiοn is a fοrmula that expresses the equality οf twο expressiοns, by cοnnecting them with the equals sign = The wοrd equatiοn and its cοgnates in οther languages may have subtly different meanings; fοr example, in French an équatiοn is defined as cοntaining οne οr mοre variables, while in English, any well-fοrmed fοrmula cοnsisting οf twο expressiοns related with an equals sign is an equatiοn.

Sοlving an equatiοn cοntaining variables cοnsists οf determining which values οf the variables make the equality true. The variables fοr which the equatiοn has tο be sοlved are alsο called unknοwns, and the values οf the unknοwns that satisfy the equality are called sοlutiοns οf the equatiοn. There are twο kinds οf equatiοns: identities and cοnditiοnal equatiοns. An identity is true fοr all values οf the variables. A cοnditiοnal equatiοn is οnly true fοr particular values οf the variables.

A equatiοn is a term in which twο quantity are equate with each οther by using variοus algebraic fοrmulas.

As per the questiοn

[tex]\frac{n}{m}+7=10\\ \frac{n}{m}=3\\ n=3m[/tex]

Hence,  the value of n = 3m.

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The total of the areas under the standard normal curve to the left of z₁ and to the right of z₂ is 0.1236.

The total area under the standard normal curve to the left of and to the right of z₂ is equal to the sum of the area to the left of z₁ and the area to the right of z₂.

Here we have

z₁  = -1.54 and z₂ = 1.54

Using a standard normal distribution table,

The area to the left of z₁ = -1.54 is 0.0618, and

The area to the right of z₂ = 1.54 is also 0.0618

(since the standard normal distribution is symmetric about 0).

Hence,

The total area under the standard normal curve to the left of z₁ and to the right of z₂ can be calculated as

=> 0.0618 + 0.0618 = 0.1236

Therefore,

The total of the areas under the standard normal curve to the left of z₁ and to the right of z₂ is 0.1236.

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Option (b) [tex]r = 14 + 14\ cos \theta[/tex] is symmetric with respect to the polar axis. So we have to know meaning of symmetry.

In terms of geometry, symmetry is said to as a balanced and proportionate similarity between two (2) halves of an item.

Let, Start with option (a)symmetric with respect to the line  [tex]\theta =\frac{\pi }{2}[/tex].

So , in this polar equation we have to place [tex]\theta\ by\ \pi -\theta[/tex],

[tex]r = 14 + 14\ cos (\pi -\theta)[/tex]

Now solve by the formula, cos(α-β) = cosα*cosβ + sinα*sinβ

[tex]r= 14 + 14[cos\pi *cos\theta + sin\pi *sin\theta][/tex]

Here, [tex]sin\pi +sin\theta\ become\ 0\ and\ cos \pi =-1[/tex]

[tex]r=14+14 cos(-cos\theta)[/tex]

[tex]r = 14 - 14\ cos \theta[/tex]

Since it is not equivalent to my original , so it not symmetric with respect to the line [tex]\theta =\frac{\pi }{2}[/tex].

Now, Start with option (b) i.e. symmetric with respect to polar axis.

[tex]r = 14 + 14\ cos \theta[/tex]

So,  in this polar equation we have to place [tex]\theta\ by\ -\theta[/tex]

[tex]r=14+14\ cos(-\theta)[/tex]

[tex]r = 14 + 14\ cos \theta[/tex]

So, it is symmetric with the polar axis.

Hence our option is (b) i.e. symmetric with respect to polar axis.

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The correct answer is "One solution" at (−2, 1)

A mathematical equation known as a linear equation denotes a straight line on a graph. It is an algebraic equation where the variable's largest exponent is 1. A linear equation's standard form is:

ax + by = c

where x and y are variables and a, b, and c are constants.

To determine the number of solutions to the system of linear equations shown on the graph, we need to find the point where the two lines intersect.

From the graph, we can see that the two lines intersect at the point (−2, 1). Therefore, the system of linear equations has one unique solution at (−2, 1).

Therefore, the correct answer is: One solution at (−2, 1).

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Answer:

5

Step-by-step explanation:

4 x 6= 24 x 1/2 = 12

10-6 = 4 x 4 = 16

cut a imaginary line above line (4) . that sapce below it is 4x4.

1 is the remaining distance for the top.

4+1=5

Answer:

Step-by-step explanation:

1. (x+6)(x+6) expand the brackets to x²+6x+6x+36 then if you need to simplify add the 6x +6x= 12x

2. (x+8)(x-5) expand to x²-5x+8x-45 then if needed simplify by adding -5x + 8x=3x

3. (x-5)(x-2) expand the brackets to x²-2x-5x+10 if you need to simplify take the -5x + -2x=-7

Ka and Kb are both acid-base equilibrium constants, but they apply to different types of reactions. Ka (acid dissociation constant) is used to describe the dissociation of an acid in water, while Kb (base dissociation constant) is used to describe the dissociation of a base in water.

Specifically, Ka is a measure of the strength of an acid in terms of how easily it donates a proton (H+) to a solvent like water. A higher Ka value indicates a stronger acid, while a lower Ka value indicates a weaker acid. Kb, on the other hand, is a measure of the strength of a base in terms of how easily it accepts a proton (H+) from a solvent like water. A higher Kb value indicates a stronger base, while a lower Kb value indicates a weaker base. There is a mathematical relationship between Ka and Kb for conjugate acid-base pairs, which are molecules or ions that differ by the presence or absence of a single proton. The relationship is expressed by the equation: Ka x Kb = Kw, where Kw is the ion product constant for water, which is 1.0 x 10⁻¹⁴ at 25°C. This relationship shows that the stronger the acid, the weaker its conjugate base, and vice versa.

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A $3,600 investment was made in an account that will double in value every 13 years thanks to the account's growth rate. It would take 23.3 years for the value of the account to reach $11, 300.

The growth rate can be calculated using the rule of 72, which states that the time it takes for an investment to double in value is approximately 72 divided by the annual growth rate (in percent). Since the investment doubles every 13 years, we can calculate the annual growth rate as follows:

[tex]\frac{72}{t}[/tex] = 2, where t is the number of years it takes for the investment to double.

t = [tex]\frac{72}{2}[/tex] = 36

Therefore, the annual growth rate is approximately 2% (100%/36 = 2.78%, but we can round it to 2% for simplicity).

To find out how long it takes for the investment to reach $11,300, we can use the following formula for compound interest:

A = [tex]P(1 + \frac{r}{n})^{(nt)}[/tex]

where:

A is the final amount (which we want to find)

P is the initial principal ($3,600 in this case)

r is the annual interest rate (2%)

n is the number of times the interest is compounded per year (we can assume it is compounded annually, so n = 1)

t is the number of years

We want to solve for t, so we can rearrange the formula as follows:

t = [tex]\frac{log\frac{A}{P} }{n*log(1 + \frac{r}{n} )}[/tex]

Substituting the values we have, we get:

t = [tex]\frac{log(\frac{11300}{3600}) }{1*log(1+\frac{0.02}{1} )}[/tex] = 23.3 years (rounded to the nearest tenth)

Therefore, it would take approximately 23.3 years for the value of the account to reach $11,300.

The complete question is:-

A person invested $3,600 in an account growing at a rate allowing the money to double every 13 years. How long, to the nearest tenth of a year would it take for the value of the account to reach $11, 300?

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The reorder level of X is 320 kg, maximum level of X 820 kg, maximum level of Y 880 kg in the production

To calculate the re-order level of X, we need to know the lead time, which is the time taken for the components to be delivered. In this case, the delivery period for both X and Y is 1 to 3 weeks. Assuming an average lead time of 2 weeks, the re-order level of X would be:

Re-order level of X = Average weekly usage x Lead time

Re-order level of X = (0.4 kg per unit x 400 units per week) x 2 weeks

Re-order level of X = 320 kg

Therefore, the re-order level of X is 320 kg.

To calculate the maximum level of X, we need to consider the maximum production level of 450 units per week and the economic order quantity of 600 kg. Assuming that the maximum production level is maintained for the entire lead time, the maximum level of X would be:

Maximum level of X = Re-order level + Economic order quantity - (Average weekly usage x Lead time)

Maximum level of X = 320 kg + 600 kg - (0.4 kg per unit x 400 units per week x 2 weeks)

Maximum level of X = 820 kg

Therefore, the maximum level of X is 820 kg.

To calculate the maximum level of Y, we need to consider the economic order quantity of 1,000 kg and the lead time of 2 weeks. Assuming that the maximum production level is maintained for the entire lead time, the maximum level of Y would be:

Maximum level of Y = Economic order quantity - (Average weekly usage of Y x Lead time)

Maximum level of Y = 1,000 kg - (0.6 kg per unit x 400 units per week x 2 weeks)

Maximum level of Y = 880 kg

Therefore, the maximum level of Y is 880 kg.

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Using a trigonometric relation we will see that x = 2.24

We know that the triangle is equilateral, then the measure of the angles in the left and right side are 45°.

x would be the opposite cathetus to that angle (when we view the right triangle)

Then we can use the trigonometric relation:

sin(a) = (opposite cathetus)/hypotenuse

Replacing the things that we know, we will get:

sin(45°) = x/√10

Solving this for x.

√10*sin(45°) = x

2.24 = x

That is the value of x.

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answer is a 55° is and how to

(a) The cube can be described as a set of points in 3-dimensional space where each coordinate (x, y, z) satisfies -1 ≤ x ≤ 1, -1 ≤ y ≤ 1, and -1 ≤ z ≤ 1.

(b) Let O be the origin of the coordinate system. Then,The vector −→OE can be written as OE = 1i + 0j + 0k.The vector −−→OD can be written as OD = 0i + 1j + 0k.The vector −−→OF can be written as OF = 0i + 0j + 1k.The vector −−→OG can be written as OG = 1i + 1j + 1k.

(c) The center point of the cube can be found by taking the average of the coordinates of opposite corners. Let A = (-1, -1, -1) be one corner of the cube and B = (1, 1, 1) be the opposite corner. Then the coordinates of the center point C are:C = ((-1 + 1)/2)i + ((-1 + 1)/2)j + ((-1 + 1)/2)k = 0i + 0j + 0k = (0, 0, 0)

(d) Let D, E, and F be the vertices of the cube that are adjacent to A, B, and C respectively. Then the point P that is the vector sum of −→OA, −−→OB and −−→OC is:P = A + OD + OF = (-1, -1, -1) + (0, 1, 0) + (0, 0, 1) = (-1, 0, 0)

(e) The plane of all linear combinations of −→OA and −→OA + −−→OB is the plane that passes through points A, O, and A + B. The normal vector of this plane is the cross product of vectors OA and (OA + OB), which is:OA x (OA + OB) = (-1i - 1j - 1k) x (0i + 0j + 2k) = 2i - 2jTherefore, the equation of the plane is:2x - 2y + z = 0This plane passes through the origin O, which is the point (0, 0, 0) in xyz space.

According to the information, the equation that represents the number of points is P = 3f + 6h.

An equation is simply a mathematical expression that relates different variables, generally represented by letters. Also, the equation includes the symbol =.

To write an equation correctly, the indicated variables must be included and correctly related to mathematical symbols. According to this, the correct equation is P = 3f + 6h.

Interpretation: The total points are equal to the number of free throws (g) multiplied by 3 plus the number of half court shots multiplied by 6.

Learn more about equations in: https://brainly.com/question/27891414

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