Given functions f and g, find (a) (fog)(x) and its domain, and (b) (gof)(x) and its domain. f(x) = √√x, g(x) = x + 7 (a) (fog)(x) = (Simplify your answer. Type an exact answer, using radicals as needed.) The domain of fog is (Type your answer in interval notation.) (b) (gof)(x) = (Simplify your answer. Type an exact answers, using radicals as needed.) The domain of g of is (Type your answer in interval notation.)

Answer:

well if the area dimensions are correct it will be 7040 sq ft according to what is above the question, but what i see it doesn't give you anything to go off of

Step-by-step explanation:

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Basketball court area in meters scale :

\(15 \times 28 = 420 \: \: {m}^{2} \)

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Basketball court area in foot scale :

\(50 \times 94 = 4700 \: \: {ft}^{2} \)

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Answer:

3x-2y=-22

Step-by-step explanation:

-3x+5y-3y=22

agrupa los términos semejantes: 3x-2y=-22

cambia los signos en ambos lados en la ecuacion: 3x-2y=-22

entonces la solución es: 3x-2y=-22

A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.

An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.

On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.

The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.

For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.

For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.

Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.

The new function g(x) is g(x) = (x + 6) - 2.

To translate f(x) = |x| down by 2 units and to the left 6 units, we need to subtract 2 from the function and replace x with (x+6) to shift it to the left by 6 units. Thus, the new function g(x) is obtained by the following steps:

g(x) = f(x+6) - 2 (translate left by 6 units and down by 2 units)

= |x+6| - 2 (substitute f(x) = |x|)

= (x+6) - 2 (when x+6 ≥ 0, |x+6| = x+6; otherwise, |x+6| = -(x+6))

= x + 4 (simplify)

Therefore, the new function g(x) is g(x) = x + 4, which is the original function translated down by 2 units and to the left 6 units. The given answer g(x) = x - 61 - 2 is incorrect as it involves a typo, where the constant term should be -2 instead of -61.

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Answer:

d. 2.0

Step-by-step explanation:

i hope this helps :)

Answer:

D

Step-by-step explanation:

√2π / √5 (expand the expression)

√2π / √5  x  √5 / √5 (multiply the fractions)

√2π√5 / √5/√5 (calculate and multiply)

solution is √10π/5 so 1.98 round it to the nearest 10 and it'll be 2 so the answer is D

A statement of inequality that correctly compares two numbers is: D. 6,365.1 < 6,365.999.

A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers only. This ultimately implies that, a numerical data refers to a data set consisting of numbers rather than words.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:

In this scenario, a statement of inequality that correctly compares two numbers is 6,365.1 < 6,365.999.

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Answer:

-3

Step-by-step explanation:

Use x as the variable

4x-6=6x

6x-4x=-6

2x=-6

x=-3

Answer:

c. 5/2

Step-by-step explanation:

The correct is (C) μ = -0.05 and σ = 0.15. The investigator is using the sample proportion p to estimate the true proportion of red blossoms in his hybrid plants.

The sample proportion p is expected to be normally distributed with a mean of μ = 0.15 and a standard deviation of σ = sqrt(p(1-p)/n), where n is the sample size. Substituting the values given, we get σ = sqrt(0.15(1-0.15)/50) = 0.05. However, since the investigator anticipates that the proportion of red blossoms is 0.15, he expects the sample proportion to be close to this value. Therefore, the mean of the sample proportion distribution should be close to the anticipated proportion, which is 0.15 - p = 0.15 - 0.15 = -0.05. Therefore, the correct answer is (C) μ = -0.05 and σ = 0.15. The investigator's anticipated proportion of red blossoms in his hybrid plants is 0.15. With a random sample of 50 plants, the sample proportion (p) follows a normal distribution. To determine the mean (μ) and standard deviation (σ), we can use the given information:
μ = p = 0.15 (anticipated proportion)
n = 50 (sample size)
We can calculate the standard deviation using the formula for binomial distribution:
σ = √(p(1-p)/n) = √(0.15(1-0.15)/50) = √(0.15*0.85/50) ≈ 0.05
Thus, the correct answer is (B) μ = 0.15 and σ ≈ 0.05.

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Answer:

1500 grams

Step-by-step explanation:

A= P(0.5)^t

A=3000(0.5)^1

A=1500

Answer:

1, -1, 0

Step-by-step explanation:

Those are numbers between or equal to -2(not equal to -2) and 1.

Answer:

-1/0/1

Step-by-step explanation:

The characteristics of the normal distribution can be used to determine the likelihood that X equals 19.62 because X is a normally distributed random variable with a mean of 12 and a standard deviation of 3.

We must compute the z-score, which counts the number of standard deviations a given result is from the mean, in order to determine this probability. Calculating the z-score is as follows:

z = (x - μ) / σ

If the supplied value, x, the mean, and the standard deviation are all given.In this instance, x=19.62, =12, and =3 respectively. By replacing these values, we obtain:

z = (19.62 - 12) / 3 ≈ 2.54

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48.15 written in words is forty-eight and fifteen hundredths(The second option)

Number system can be defined as a system of writing to express numbers.

In numbering system, the number 48 is in Tens because it falls between 1 to 100

The number 15 comes after the decimal place and also it falls between 1 to 100 which makes it hundredths

Hence, we write the number 48.15 in numbering system as forty-eight and fifteen hundredths in words

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The measure of angle BAC is of 14.48º, considering the relations in a right triangle.

There are three relations in a right triangle, presented as follows:

Using a ruler, it is found that the length of the opposite side to angle BAC, of CB, is of 1.5 cm, hence the following relation is established, considering the hypotenuse of 6 cm.

sin(x) = 1.5/6

In which x is the measure of angle BAC.

x can be isolated applying the arc sine function, which is the inverse of the sine, hence:

x = arcsin(1.5/6)

x = 14.48º.

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Answer:

3.162

Step-by-step explanation:

√10 = 3.162

Answer:

Step-by-step explanation:

I hope I can use a calculator and not use logs or a type of long division!

√10 = 3.16227

The hundredth place is the 6. The next place is a 2 which does not have any effect on the 6.

Answer: 3.16

Answer:

12

Step-by-step explanation:

If Hannah bought 12 pens and brought them to school, then she would have brought 12 pens to use during school.

five coins are flipped at the same time. then the probablility of getting three of them heads up is 5/16

probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event

for an experiment having n number of outcomes , the number of favorable outcomes can be denoted by x

the formula to calculate the probability of an event is as fallows

probability (events)= favorable outcomes /total outcomes = x/n

considering a fair coin ,after 5 flips there are 2^5= 32 different arrangements of heads and tails

to get three of them heads

5c3=10 ways

P( three heads)= 10/32=5/16

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Answer:

x = -8

Step-by-step explanation:

Set one side of the equation to be -36, and the other side to be the actual equation for g(x) and solve for x.

-35 = 5x + 4

Subtract 4 from both sides.

-40 = 5x

Divide both sides by 5

-8 = x

x = -8

Answer:

Similar to the question: They figure that they will drive 792 miles round trip. If their car gets 25 miles per gallon and the current cost of gasoline is $2.35, what will the gas for their trip cost? $74.45 George is taking the same trip to San Antonio (792 miles)

Step-by-step explanation:

Hope it helps :)

Based on the information we can infer that the sentence that uses the parallel structure correctly is You can be a little fish in a big pond, or you can be a big fish in a little pond (option A).

To identify the sentence that uses the parallel structure correctly we must read the options and analyze if they classify in the parallel structure. In this case, it should be noted that this structure is characterized by aligning two syntactic units, sentences or words by means of conjunctions or punctuation marks.

Based on the above, the option "You can be a little fish in a big pond, or you can be a big fish in a little pond" is correct because it uses a comma and a conjunction.

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Answer:

x = 37 mm

Step-by-step explanation:

using the Pythagorean theorem:

m² = 13² - 5² = 169 - 25 = 144

m = √144 = 12 mm

x² = 12² + 35² = 144 + 1225 = 1369

x = √1369 = 37 mm

Answer:

x=37.3

Step-by-step explanation:

Since we're looking for "x" we need to use "the Pythagorean theorem".

13mm will be our "A" and 35mm will be our "B" will "x" being the hypotenuse.

Since x is the hypotenuse, it needs to be a number greater than 13 and 35.

c=√(a² + b²)

Making it c=√(13² + 35²)

Making C=37.336 or 37.3

Therefore making, x=37.3

The cost of laying 1 square foot of wall using the CMU block would be $0.0219, and the cost of laying 100 square feet of wall would be $2.186.

The cost of laying the cmu block mentioned in the problem would be $157.97. CMU is short for Concrete Masonry Units. These blocks are a widely used building material that is made by mixing cement, sand, and water.

The strength and durability of CMU blocks make them an ideal choice for constructing walls, and their uniform size allows for precise and efficient construction. The process of laying CMU blocks is performed by masons. It involves several steps such as leveling, measuring, mixing, and placing the blocks.

Here is an outline of the steps involved in laying CMU blocks: Plan the wall: Plan out the wall's layout and design, taking into account factors such as size, height, and shape.Prepare the site: Clear the site of debris, rocks, or other obstacles that may interfere with the wall's foundation.. Set the footings: Lay a concrete foundation or footings to support the wall.

Lay the first course: Place the first course of CMU blocks on the foundation, making sure they are level and plumb. Mix mortar: Mix mortar by combining cement, sand, and water in a specific ratio.Place the blocks: Apply a layer of mortar to the top of the first course, then lay the next course of blocks on top. Repeat this process until the desired height is reached.

Given,1. 5.5 mason labor hours and 7.5 laborer labor hours to construct 100 square feet of wall.2. The average wage rate for masons is $39.74 per labor hour.3. The average wage rate for laborers is $22.35 per labor hour.To determine the cost of laying the cmu block, we need to find the labor cost required to lay 100 square feet of wall.

Let's calculate the labor cost required for laying 100 square feet of wall using the following formula:Total Labor Cost = (Mason Hours x Mason Wage Rate) + (Laborer Hours x Laborer Wage Rate)Total Labor Cost = (5.5 x $39.74) + (7.5 x $22.35)Total Labor Cost = $218.57The total labor cost required for laying 100 square feet of wall is $218.57.

Let's calculate the cost of laying the cmu block using the following formula:Cost of Laying CMU Blocks = Total Labor Cost x (Area / 100)Cost of Laying CMU Blocks = $218.57 x (1 / 100)Cost of Laying CMU Blocks = $2.186

Now, let's calculate the cost of laying the cmu block for 1 square foot of wall:Cost of Laying CMU Blocks = $2.186 / 100Cost of Laying CMU Blocks = $0.0219Thus, the cost of laying the cmu block mentioned in the problem is $0.0219 per square foot. The cost of laying 1 square foot of wall is $0.0219.

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Answer:

x^5+5x^4−x^3

Step-by-step explanation:

Expand by distributing terms

x^3x^2+x^3*5x-x^3

Use the product rule x^a+x^b=x^a+b

x^3+2 +x^3*5x-x^3

Simplify 3+2 to 5

x^5+x^3*5x-x^3

Regroup

x^5+5x^33-3^3

Use product rule x^a+x^b=x^a+b

x^5+5x^3+1   -x^3

Simplify 3+1 to 4

x^5+5x^4−x^3

Answer:

9/10

Step-by-step explanation:

90/100

is 9/10 simplified

Answer:

it 9/10 becuse nvm

Step-by-step explanation:

The series of transformation that move the pentagons is (d) translation, translation

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have:

This means that the only transformation is translation

So, the series of transformation is (d) translation, translation

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The formula for the surface area of the box, in terms of the length of one side of the square base (s), is A = s^2 + 4s^2 = 5s^2.

The derivative of the surface area function with respect to s, denoted as dA/ds, gives us the rate of change of the surface area with respect to the length of one side of the base.

1. The surface area of the box consists of the area of the square base and the four equal sides. The area of the square base is s^2, and each side has a length of s. Therefore, the total surface area is given by A = s^2 + 4s^2 = 5s^2.

2. To find the derivative of the surface area function, we differentiate 5s^2 with respect to s using the power rule of differentiation. The power rule states that if we have a function f(x) = cx^n, then the derivative is f'(x) = cnx^(n-1).

  Applying the power rule, we have dA/ds = d(5s^2)/ds = 10s.

3. The derivative, dA/ds = 10s, represents the rate of change of the surface area with respect to the length of one side of the square base. This means that for every unit increase in s, the surface area increases by 10s units.

  The derivative does not provide information about minimizing the amount of material used. To find the dimensions of the box that minimize the amount of material used, we need to set up an optimization problem and solve for the critical points. This involves setting the derivative equal to zero and finding the values of s that satisfy this equation. However, since the problem statement does not provide a specific volume constraint or objective function, we cannot proceed with the optimization process.

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The value of sin(α) is √(9/10), cos(α) is -√(1/10),  tan(α) is √10,  cot(α) is 1/√10, sec(α) is -√10 and csc(α) is  -√(10/9).

It is given that tan(α)= 3/1. Using the formula of tan(α) = sin(α) / cos(α) and putting the value of tan(α), we get;

tan(α) = sin(α) / cos(α)

3/1 = sin(α) / cos(α)

Now, multiply cos(α) on both sides;

3cos(α) = sin(α)

Use the formula of sin²(α) + cos²(α) = 1 to find cos(α);

sin²(α) + cos²(α) = 1

cos²(α) = 1 - sin²

Put the value of sin(α) in the above equation, we get;

cos²(α) = 1 - (3cos(α))²

cos²(α) = 1 - 9cos²(α)

Move 9cos²(α) to the left side of the equation, we get;

10cos²(α) = 1

Divide 10 on both sides of the equation;

cos²(α) = 1/10

Take the square root of both sides of the equation;

cos(α) = ± √(1/10)

But we know that -π<α<0. This means that α is in the fourth quadrant.

In the fourth quadrant, cos(α) is positive and sin(α) is negative.

Therefore, we will take only the negative sign.

2. So, cos(α) = - √(1/10)

Use the formula of sin²(α) + cos²(α) = 1 to find sin(α);

sin²(α) + cos²(α) = 1

sin²(α) = 1 - cos²(α)

Put the value of cos(α) in the above equation, we get;

sin²(α) = 1 - (- √(1/10))²

sin²(α) = 1 - 1/10

sin²(α) = 9/10

Take the square root of both sides of the equation;

1. sin(α) = - √(9/10)

We know that;

tan(α) = sin(α) / cos(α)

Put the value of sin(α) and cos(α), we get;

3. tan(α) = (-√(9/10)) / (-√(1/10)) = √10

Now, we can find the value of cot(α), sec(α), and csc(α) using the following formulas:

4. cot(α) = 1 / tan(α) = 1/√10

5. sec(α) = 1 / cos(α) = -√10

6. csc(α) = 1 / sin(α) = -√(10/9)

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Answer:

no one eats oreos fatty

Step-by-step explanation:

The number of cookies that came inside the box is 15.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A serving size of Oreo cookies is 3 cookies, which is  20% of a box of cookies.

Let 'x' be the number of cookies the box has.

Therefore 20% of 'x' is 3 which is,

(20/100)×x = 3.

0.2x = 3.

x = 3/0.2.

x = 15.

So, There are 25 cookies in the box.

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