√4x^2 BRAINLIEST IF CORRECT!!!!!!!!!

The solution of the composite function, (f + g)(x)  is 8x + 7

A function relates input and output. In other words, a function is a special relationship among the inputs (independent variable) and their outputs (dependent variable).

A composite function is a function that depends on another function.

Therefore, let's solve the composite function

f(x) = x + 3

g(x) = 7x + 4

Hence,

(f + g)(x) can be solved as follows:

(f + g)(x)  = f(x) + g(x)

(f + g)(x)  = x + 3 + 7x + 4

combine like terms

(f + g)(x)  = x + 7x + 3 + 4

(f + g)(x)  = 8x + 7

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5.58g of catalyst is required for 900g of reactants.

If 500g of reactants require 3.1g of catalyst, then for 900g of reactants, we can use the following proportion:

500g reactants / 3.1g catalyst = 900g reactants / x

Where x is the amount of catalyst required for 900g of reactants.

To solve for x, we can cross-multiply:

500g reactants * x = 3.1g catalyst * 900g reactants

Then, we can divide both sides by 500g reactants to isolate x:

x = (3.1g catalyst * 900g reactants) / 500g reactants

Simplifying this expression gives:

x = 5.58g catalyst

Therefore, 5.58g of catalyst is required for 900g of reactants.

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Answer:    [tex]y=\frac{-6}{7} x+\frac{-73}{7}[/tex]

Step-by-step explanation:

The slope intercept form for a line is y=mx+b, where m is slope and b is the y intercept. For this form, we need to know the slope and y intercept.

The slope and one x and y are give, so we can plug in all of these values into the slope intercept equation to solve for b.

Doing so, we get:

[tex]y=mx+b\\-7=\frac{-6}{7} (-4)+b\\b=-7-\frac{24}{7} \\b=\frac{-73}{7}[/tex]

So, knowing the slope and y intercept, our equation is

[tex]y=\frac{-6}{7} x+\frac{-73}{7}[/tex]

The second digit after the decimal point is 9. We repeat this process until we have found the 5280th digit:

```

0.294117647058823529...

               50

To find the 5280th digit in the decimal expansion of 5/17, we need to find the first 5280 digits of the decimal expansion and then look at the 5280th digit.

To do this, we can use long division to divide 5 by 17. We start by dividing 5 by 17 to get the first digit after the decimal point:

```

0.294117647058823529...

```

We can see that the first digit after the decimal point is 2. To get the second digit, we multiply the remainder (5) by 10 and then divide by 17:

```

5 * 10 = 50

50 / 17 = 2 remainder 16

```

The second digit after the decimal point is 9. We repeat this process until we have found the 5280th digit:

```

0.294117647058823529...

               50

            -----

5 * 10 = 50 | 16.0000000000000000000000000000000000000000000000000000000000000000000000...

            0

           ---

             160

             153

             ---

               70

               68

               --

                20

                17

                --

                 30

                 17

                 --

                 130

                 119

                 ---

                  110

                  102

                  ---

                    80

                    68

                    --

                    120

                    119

                    ---

                      10

                       8

                      --

                       20

                       17

                       --

                        30

                        17

                        --

                        130

                        119

                        ---

                         110

                         102

                         ---

                           80

                           68

                           --

                           120

                           119

                           ---

                             10

                              8

                             --

                              20

                              17

                              --

                              30

                              17

                              --

                              130

                              119

                              ---

                               110

                               102

                               ---

                                 80

                                 68

                                 --

                                 120

                                 119

                                 ---

                                   10

                                    8

                                   --

                                   20

                                   17

                                   --

                                   30

                                   17

                                   --

                                   130

                                   119

                                   ---

                                    110

                                    102

                                    ---

                                      80

                                      68

                                      --

                                      120

                                      119

                                      ---

                                        10

                                         8

                                        --

                                        20

                                        17

                                        --

                                        30

                                        17

                                        --

                                        130

                                        119

                                        ---

                                         110

                                         102

                                         ---

                                           80

                                           68

                                           --

                                           120

                                           119

                                           ---

                                             10

                                              8

                                             --

                                             20

                                             17

                                             --

                                             30

                                             17

                                             --

                                             130

                                             119

                                             ---

                                              110

                                              102

                                              ---

                                                80

                                                68

                                                --

                                                120

                                                119

                                                ---

                                                  10

                                                   8

                                                  --

                                                  20

                                                  17

                                                  --

                                                  30

                                                  17

                                                  --

                                                  130

                                                  119

                                                  ---

                                                   110

                                                   102

                                                   ---

                                                     80

                                                     68

                                                     --

                                                     120

                                                     119

                                                     ---

                                                       10

                                                        8

                                                       --

                                                       20

                                                       17

                                                       --

                                                       30

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The area of this irregular polygon is 344.5 square units.

To find the area of an irregular polygon, you can divide it into smaller, simpler shapes.

In this case, we can divide the polygon into a rectangle and a right triangle.

The rectangle has a height of 4 and a width of 13, so its area is 4 x 13 = 52 square units.

The right triangle has a base of 13 and a height of (110 - 4 x 13) / 2 = 45, since the total height of the polygon is 110.

Therefore, the area of the right triangle is (1/2) x base x height = (1/2) x 13 x 45 = 292.5 square units.

Adding the areas of the rectangle and the triangle, we get a total area of 52 + 292.5 = 344.5 square units.

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The measure of the radius of the hexagon rounded to the nearest inch is 14 inches.

The problem presents a hexagon with a central angle of 60º, and the task is to calculate its radius. To do so, we can use the trigonometric relationship between the radius, apothem, and an angle. The apothem is a line segment from the center of a polygon perpendicular to one of its sides. For a regular hexagon, the apothem length is equal to the radius, which we want to find.

The trigonometric relationship for this case is cos(30) = a/c, where a is the apothem and c is the radius. By rearranging the equation to solve for c, we get c = a/cos(30).

Substituting the value of 12 inches for the apothem, we get c = 12/cos(30). Using a calculator, we can find that cos(30) = 0.866, so c = 12/0.866 = 13.855 inches.

To round to the nearest whole number, we get c = 14 inches.

Correct Question :

A regular hexagon is shown. What is the measure of the radius, c, rounded to the nearest inch? use the appropriate trigonometric ratio to solve. 6 in. 10 in. 14 in. 24 in.

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The statement that best describes the information is:

-If the total number of gigabytes stored exceeds 750, then each gigabyte beyond 750 costs 5 cents.

This is because the equation c = 0.05(g - 750) + 19.95 applies only when the number of gigabytes (g) exceeds 750. For every gigabyte over 750, an additional 5 cents is charged, while the base cost of $19.95 is for the first 750 gigabytes of storage.

If the customer needs to store more than 750 gigabytes, the annual cost is determined by the equation c = 0.0 ,5(g - 750) + 19.95, where c is the annual cost in dollars, and g is the total number of gigabytes of data stored

The statement that best describes this information is:

The Data-Safe Company offers online data storage services with an annual fee of ,$19.95 for up to 750 gigabytes of storage. If a customer requires more than 750 gigabytes of storage,. an additional fee of $0.05 per gigabyte is charged for the excess storage beyond the initial 750 gigabytes.

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Complete question

Data-Safe Company leases online data storage

space. A customer can store up to 750

gigabytes of computer files for an annual fee of

$19.95. If the number of gigabytes exceeds 750,

then the equation c=0.05(g - 750) + 19.95

determines the annual cost, c. in dollars in terms

of g, the total number of gigabytes of data

stored. Which statement best describes this

information?

-If the total number of gigabytes stored is

more than 750, then every gigabyte stored

costs 5 cents.

-If the total number of gigabytes stored

exceeds 750, then each gigabyte beyond

750 costs 5 cents.

B

-The first 750 gigabytes stored costs 5 cents

each, after which there is an additional cost

of $19.95

-Every gigabyte of data stored costs 5 cents

no matter how many gigabytes are stored.

The height of the triangular face of a triangular prism with a length of 15 feet and a base of 10 feet, and a volume of 945 cubic feet is 12.6 feet."

The formula for the volume of a triangular prism is given by:

Volume = (1/2) x base x height x length

where base and height refer to the base and height of the triangular face, and length refers to the length of the prism.

Substituting the given values, we have:

945 = (1/2) x 10 x height x 15

Simplifying:

945 = 75 x height

Dividing both sides by 75:

height = 945/75

height = 12.6 feet

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At the beginning of the game, the total amount of money between Larbi and Aminu was 66 cedis.

Let x be the total amount of money at the beginning of the game.

After the game, Larbi lost 5/11x, so he has (1-5/11)x = 6/11x left.

Aminu gained 6 more than 1/2 of what Larbi has left, which is (1/2)(6/11x) + 6 = 3/11x + 6.

The total amount left after the game is the sum of what Larbi and Aminu have, which is (6/11x) + (3/11x + 6) = (9/11x) + 6.

Since this is equal to x (the total amount they started with), we have:

(9/11x) + 6 = x

Solving for x, we get:

x = 66.

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The number of flu virus particles in a person's body after 1 day is 28.46 billion, based on the given polynomial function.

The polynomial given to us is, y = −0.74x⁴ + 2.8x³ + 26.4 which describes the billions of flu virus particles in a person’s body. To find the number of virus particles in a person's body after 1 day, we need to substitute x = 1 into the given polynomial and evaluate it.

So, we have,

y = -0.74(1)⁴ + 2.8(1)³ + 26.4

= -0.74 + 2.8 + 26.4

= 28.46

Therefore, the number of virus particles in a person's body after 1 day is 28.46 billion.

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Complete question - The polynomial y=−0.74x⁴ + 2.8x³ + 26.4 describes the billions of flu virus particles in a person’s body x days after being infected. find the number of virus particles, in billions, after 1 day.

The measurement closest to the length of the piece of washi tape needed is approximately 21.36 feet.

The circumference of the circular mirror can be calculated using the formula C = 2πr, where r is the radius. Plugging in the given radius of 3.4 feet, we get C = 2π(3.4) = 21.36 feet (rounded to two decimal places). Since Rosalinda is decorating the edge of the mirror with washi tape, she needs a piece of tape that is equal in length to the circumference of the mirror. Therefore, the length of the piece of washi tape needed is closest to 21.36 feet.

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Answer:

Slope= -1/3

Step-by-step explanation:

The slope is found using (y₂ - y₁) / (x₂ - x₁)

(y₂ - y₁)

So let's do the numerator first with the y. -52-(-32). The two negative signs  make 32 positive so -52 + 32= -20

(x₂ - x₁)

Now the denominator, x. -10-(-70). Same thing here, the two negative signs  make 70 positive so -10 + 70 = 60

(y₂ - y₁) / (x₂ - x₁)

Now put them together so -20/60 which equals -1/3 which the slope

The best estimate of the volume of this cylindrical water dispenser is 2940 in³. The correct option is b.

To estimate the volume of the cylindrical water dispenser, we can use the formula for the volume of a cylinder, which is given by V = πr²h, where V is the volume, π is a mathematical constant approximately equal to 3.14, r is the radius, and h is the height.

Given that the radius of the water dispenser is 7 inches and the height is 20 inches, we can substitute these values into the formula:

V = π(7²)(20)

V = π(49)(20)

V ≈ 3.14 × 49 × 20

V ≈ 3.14 × 980

V ≈ 3075.2 in³

From the given options, the closest estimate to the calculated volume of approximately 3075.2 in³ is option B: 2940 in³. While it is not an exact match, it is the closest estimate among the options provided.

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To find the probability that the point lies in the shaded region of the circle, we need to compare the area of the shaded region to the total area of the circle. Let's say the radius of the circle is r.

The area of the shaded region can be found by subtracting the area of the unshaded region from the total area of the circle. The unshaded region is a square with side length equal to the radius of the circle. Therefore, its area is r^2. The total area of the circle is πr^2. So the area of the shaded region is:
πr^2 - r^2 = r^2(π - 1)

Now, if we choose a point at random from the circle, any point has an equal chance of being chosen. So the probability of choosing a point in the shaded region is equal to the area of the shaded region divided by the total area of the circle:

P(shaded) = (r^2(π - 1))/πr^2 = π - 1

Therefore, the probability of choosing a point in the shaded region of the circle is π - 1.

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sorry, I am really sorry I really need the points. Just by seeing it I think in the 3 one am not sure but don't trust me because I just saw it and thought it was 3........

The conversion each unit gives:

12,000 g =   12 kg    

120 cm = 1200 mm

1.2 L = 1200 mL

1,200 cm = 12 m

0. 12 m = 120 mm

Conversion of units is the process of converting between different units of measurement for the same quantity through conversion factors.

1000 g = 1 kg. Thus,

12,000 g =   12 kg    

1 cm = 10 mm. Thus,

120 cm = 1200 mm

1L = 1000 mL. Thus,

1.2 L = 1200 mL

100 cm = 1 m. Thus,

1,200 cm = 12 m

1 m = 1000 mm. Thus,

0. 12 m = 120 mm

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The expected value of emissions when Year is 0, which makes up the intercept of the line (-666708.3) .

By fitting a linear equation to the observed data, the statistical technique of linear regression is utilized to describe the connection between two variables. Finding the line that best fits the data and can accurately depict the interaction of the variables is the aim of linear regression. In regression analysis, one variable is regarded as the independent (or predictor) variable, and the other is regarded as the dependent (or response) factor (or response variable). Y = mx + b, where x is the underlying factor, m is the line's slope, and b is the y-intercept, is a linear equation that describes the connection between both variables.

given

The linear regression equation that results is:

Emissions = 666708.3 - 347.6 Year

This equation models the link between Year (the explanatory variable) and Emissions as a straight line (the response variable).

According to the line's slope (347.6), emissions rose by an average of 348 million metric tonnes annually during this time.

The expected value of emissions when Year is 0, which makes up the intercept of the line (-666708.3) .

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Answer:

3 meters = 300 centimeters

Using the Pythagorean Theorem:

[tex] {x}^{2} + {30}^{2} = {300}^{2} [/tex]

[tex] {x}^{2} + 900 = 90000 [/tex]

[tex] {x}^{2} = 89100[/tex]

[tex]x = 90 \sqrt{11} = 298.49[/tex]

x = about 298 centimeters

= about 2.98 meters

At Burger Heaven, to maximize the total revenue from selling double burgers containing 2 meat patties and 6 pickles, you need to consider the following constraints:

1. Ingredient availability: Ensure that there are enough meat patties and pickles in stock to meet the demand for double burgers.
2. Production capacity: The kitchen staff must be able to efficiently prepare and assemble the double burgers without compromising on quality.

3. Pricing strategy: Set a competitive price for the double burger to attract customers and generate optimal revenue.
4. Demand forecasting: Accurately predict customer demand for the double burger to prevent overstocking or understocking of ingredients, which can impact revenue.

To maximize total revenue at Burger Heaven, follow these steps:

a) Analyze the availability of meat patties and pickles to determine how many double burgers can be made with the current inventory.
b) Evaluate the production capacity of the kitchen staff to ensure that they can efficiently prepare and assemble the double burgers.

c) Research the market to set a competitive price for the double burger, considering the costs of ingredients, labor, and other expenses.
d) Forecast customer demand for the double burger to ensure optimal inventory levels and to meet customer expectations.

By addressing these constraints and following the steps above, Burger Heaven can successfully maximize its total revenue from selling double burgers with 2 meat patties and 6 pickles.

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A deposit of $2000 earning 4.2% simple interest for 3 years will have a balance of $2252. The estimated balance rounded to the nearest whole number is $2252.

To calculate the balance in the account after 3 years, we can use the formula

balance = principal x (1 + interest rate x time)

Plugging in the values, we get

balance = 2000 x (1 + 0.042 x 3)

balance = 2000 x (1 + 0.126)

balance = 2000 x 1.126

balance = 2252

Therefore, the balance in the account after 3 years is $2252.

As for the estimate, since the interest is simple, we can approximate it by multiplying the interest rate by the number of years and adding it to the principal. So, the estimate would be

estimate = principal x (1 + interest rate x time)

estimate = 2000 x (1 + 0.042 x 3)

estimate = 2000 x (1 + 0.126)

estimate = 2000 x 1.126

estimate = 2252

Rounding to the nearest whole number, the estimate is also $2252.

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In order to find the probability of a student playing on the football team given that they play in the band, we'll use conditional probability.

The formula for conditional probability is P(A|B) = P(A and B) / P(B).

In this case, A represents playing on the football team, and B represents playing in the band.

Given:
P(B) = 0.15 (probability of playing in the band)
P(A and B) = 0.03 (probability of playing in the band and on the football team)

Now we can apply the formula:

P(A|B) = P(A and B) / P(B) = 0.03 / 0.15 = 0.2

So, the probability that a student at Kennedy High School plays on the football team given that they play in the band is 0.2 or 20%.

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To evaluate the integral of tan inverse v(x+2) dx, we need to make a substitution. Let u = x + 2, then du/dx = 1 and dx= du. Therefore, the final answer is: ∫ tan inverse v(x+2) dx = (x+2) tan inverse v(x+2) - tan inverse v(x+2) / v'(x+2) + C

Substituting this back into the integral, we get:
∫ tan inverse v(x+2) dx = ∫ tan inverse v(u) du
Using the formula from the table of integrals, we have:
∫ tan inverse v(u) du = u tan inverse v(u) - ∫ u / (1 + v(u)^2) du
Substituting back u = x + 2, we get:
∫ tan inverse v(x+2) dx = (x+2) tan inverse v(x+2) - ∫ (x+2) / (1 + v(x+2)^2) dx
Now, we can use another substitution, let t = v(x+2), then dt/dx = v'(x+2) and dx = dt / v'(x+2).
Substituting this back into the integral, we get:
∫ (x+2) / (1 + v(x+2)^2) dx = ∫ (x+2) / (1 + t^2) dt / v'(x+2)
Using the formula from the table of integrals, we have:
∫ (x+2) / (1 + t^2) dt = tan inverse t + C
where C is the constant of integration.
Substituting back t = v(x+2), we get:
∫ (x+2) / (1 + v(x+2)^2) dx = tan inverse v(x+2) / v'(x+2) + C
Therefore, the final answer is:
∫ tan inverse v(x+2) dx = (x+2) tan inverse v(x+2) - tan inverse v(x+2) / v'(x+2) + C
where C is the constant of integration.

To evaluate the integral of tan inverse v(x+2) dx using substitution, we'll first make a substitution:
Let u = x+2. Then, du = dx.
Now, we can rewrite the integral as:
∫tan^(-1)(v(u)) du
Next, we'll look up the integral of tan^(-1)(v(u)) in a table of integrals. Unfortunately, there isn't a direct formula for this specific integral. However, we can use integration by parts to proceed further.
Let I = ∫tan^(-1)(v(u)) du. Let's choose:
f(u) = tan^(-1)(v(u)) and df(u) = du,
g'(u) = 1 and dg(u) = u du.
Using integration by parts formula:
I = f(u)g(u) - ∫g(u)df(u)
I = u*tan^(-1)(v(u)) - ∫u(1/(1+v^2(u))) du
Now, we'll need to substitute back x+2 for u:
I = (x+2)*tan^(-1)(v(x+2)) - ∫(x+2)(1/(1+v^2(x+2))) dx
This integral doesn't have a simple closed-form solution, so the final answer will remain in the form shown above.

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The singer sold approximately 512 music downloads for  17p and 456 CDs for 35p and earned a total profit of £246. 64.

Given data:

Total profit = £246. 64

The price for each music download is = 17p

Number of CDs sold = 456 CD

Price for each CD = 35p

Assume that the singer sold x music downloads. when she earns 17p for each music download then her total earnings from music downloads will be 0.17x. The total earnings from selling the CD are,

= 0.35 × 456

= 159.6.

From the above data, we can write the equation to find the value of x by,

0.17x + 159.6 = 246.64

0.17x = 246.64 - 159.6

0.17x = 87.04

x = 87.04/0.17

x = 512

Therefore, the singer sold approximately 512 music downloads.

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The old plan is cheaper for a customer who writes 10 checks per month.

To determine how many checks a customer must write per month before the new plan is cheaper than the old plan, we need to set up an equation to compare the two plans. Let x be the number of checks written per month. The cost of the old plan is given by:

C_old = 0.08x + 2

The cost of the new plan is given by:

C_new = 3 + 0.15x

To find out when the new plan becomes cheaper, we need to set the two costs equal to each other and solve for x:

0.08x + 2 = 3 + 0.15x

0.07x = 1

x ≈ 14.29

Therefore, a customer would need to write 15 checks per month for the new plan to be cheaper than the old plan.

For a customer who writes 10 checks per month, the cost of the old plan is:

C_old = 0.08(10) + 2 = 2.80

The cost of the new plan is:

C_new = 3 + 0.15(10) = 4.50

Therefore, the old plan is cheaper for a customer who writes 10 checks per month.

The formula for the cost of any number of checks for the old plan is:

C_old = 0.08x + 2

where x is the number of checks written per month

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Examining the expression the value of r/2c is

We can use algebra to calculate the value of r/2c with 3r/c as the variable.

First, let's reduce the expression 3r / c = 126 by multiplying both sides by c / 3:

3r/c * c/3 = 126 * c/3

r/1 = 42c

Now we can obtain r / 2c by dividing both sides by 2c:

solving for the left hand side of the equation

r /2c = (r/1)/(2c)

solving for the right hand side of the equation

42c = (42c)/(2c) = 21

Equation the left hand side to the right hand side of the equation

r/2c = 21

Therefore, r/2c = 21.

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The factored form of the equation is 1/2(y - √5)

To factor this expression, we need to look for any common factors that can be pulled out of both terms. We can see that both terms contain a factor of 1/2, so we can factor that out:

1/2(y - 5 1/2)

Now we need to see if there are any further factors that we can find. The term inside the parentheses, y - 5 1/2, cannot be factored any further using real numbers. However, we can write the expression as y - √5, which shows that it involves the square root of 5.

So the final factored form of the expression is:

1/2(y - √5)

This means that if we multiply 1/2 by (y - √5), we get back the original expression 1/2y - 5 1/2.

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When a number is chosen from set x, there is a 0.2 chance that the chosen number will also be found in sets y and z. The answer is option (B). 0.2.

The ratio of favourable outcomes to all possible outcomes of an event is known as the probability. The symbol x can be used to express the quantity of successful outcomes for a study with 'n' outcomes. The probability formula determines the likelihood that an event will occur.

It is the ratio of effective results to all effective results. The study of probability is a branch of mathematics that examines the likelihood that an event will occur. Probability, which expresses the likelihood that an event will occur, is calculated by dividing the total number of occurrences by the total number of positive events.

The number of elements of Both Y and Z answer is 5 and 25.

The probability of selecting a number from x that is an element of y and z

Intersection of y and z is (5, 25)

No.of elements in x is = 2/10

= 1/5

= 0.2

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If we plan to buy more than 10 gallons of gas, it is worth it to buy the car wash, assuming that the cost of the car wash is $2.

The car wash costs $7, and the price per gallon of gas with the car wash is $3.19, while the price per gallon of gas without the car wash is $3.39. Let's assume that we buy x gallons of gas, then the total cost of buying gas with the car wash would be:

Total cost with car wash = 7 + 3.19x

The total cost of buying gas without the car wash would be:

Total cost without car wash = 3.39x

To determine when it is worth it to buy the car wash, we need to find when the total cost with the car wash is less than the total cost without the car wash:

7 + 3.19x < 3.39x

Solving for x:

7 < 0.2x

x > 35

This means that if we plan to buy more than 35 gallons of gas, it is worth it to buy the car wash.

Now, let's consider the scenario where the car wash costs $2. The total cost of buying gas with the car wash would be:

Total cost with car wash = 2 + 3.19x

To determine when it is worth it to buy the car wash in this scenario, we need to find when the total cost with the car wash is less than the total cost without the car wash:

2 + 3.19x < 3.39x

Solving for x:

2 < 0.2x

x > 10

This means that if we plan to buy more than 10 gallons of gas, it is worth it to buy the car wash, assuming that the cost of the car wash is $2.

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