can someone help me with this real quick

The value of f∘g(x) = \(-x^3 - 12x^2 - 48x - 55.\)

To find f∘g(x), we substitute g(x) into f(x):

f∘g(x) = f(g(x))

g(x) = x + 4

Substituting g(x) into f(x):

f∘g(x) = f(g(x)) = f(x + 4)

Now we substitute x + 4 into f(x):

f∘g(x) = f(x + 4) = 9 - (x + 4)^3

Expanding and simplifying:

f∘g(x) = 9 - (x + 4)(x + 4)(x + 4)

\(= 9 - (x + 4)(x^2 + 8x + 16)\)

\(= 9 - (x^3 + 8x^2 + 16x + 4x^2 + 32x + 64)\)

= 9 - (x^3 + 12x^2 + 48x + 64)

\(= -x^3 - 12x^2 - 48x - 55\)

Therefore, f∘g(x) = -x^3 - 12x^2 - 48x - 55.Given the functions:

f(x) = 9 - x^3

g(x) = x + 4

To find f∘g(x), we need to first evaluate g(x) and then substitute it into f(x). Let's start by evaluating g(x):

g(x) = x + 4

Now, we substitute g(x) into f(x):

f(g(x)) = f(x + 4)

Next, we substitute x + 4 into f(x):f(x + 4) = 9 - (x + 4)^3

To simplify this expression, we need to expand (x + 4)^3. Using the binomial expansion or the distributive property, we get:

(x + 4)^3 = (x + 4)(x + 4)(x + 4)

= (x^2 + 8x + 16)(x + 4)

= x^3 + 8x^2 + 16x + 4x^2 + 32x + 64

= x^3 + 12x^2 + 48x + 64

Substituting this back into f(x):

f(x + 4) = 9 - (x^3 + 12x^2 + 48x + 64)

Finally, simplifying the expression further:f(x + 4) = -x^3 - 12x^2 - 48x - 55

Therefore, f∘g(x) = -x^3 - 12x^2 - 48x - 55.

This represents the composition of the functions f(x) and g(x), where g(x) is applied first and its result is then used as the input for f(x).

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Answer:

The parabola opens downward and the vertex is (-4,6).

Step-by-step explanation:

Vertex form is this: a(x - h)^2 + k

In your case, a = -3 which is negative so the parabola opens downward. Using this algebraic form, the vertex is at (h,k), but you need to make 4 negative since it is been added rather than subtracted. Thus, the vertex is at (-4,6).

The amount of the area of the home used and the total area of the second property are 26.25 acres and 20.625 acres respectively.

The amount of land to be used for a home is the difference between the total land area and the area to be used for land :

Land Area of second property = 0.78 times the land ares

Therefore, the total area of the second property is 20.625 acres.

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Answer:

B, no need to use calculator, a negative number minus a positive number is a negative number

Step-by-step explanation:

Step-by-step explanation:

Answer:

3×4×5=60 ft cubed

Step-by-step explanation:

multiply length ×width ×height the answer is in cubic units for volume

Having Substituted the given data into the volume formula, the volume was gotten as  60ft^3

Given Data

The expression for the volume of a tank is given as

Volume of tank = Length *widht*Height

Substituting our given Data into the expression for the volume formula we have

Volume of tank = 3*5*4

Volume of tank = 60ft^3

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Answer:

C. 180 degrees, 2 units down

Step-by-step explanation:

For 180 degrees rotation, the rule is (x, y) -----> (-x, -y)

Choose a point

Point C (6,2)  -----> (-6,-2)

shift that point two down and it lines up with C'

Answer:

Step-by-step explanation:

a. No, these are not mutually exclusive events because it is possible for a male student at Riverdale High School to be a member of the football team.

Using the Multiplication Rule, we can find the probability of at least one successful surgery out of three surgeries as follows:

P(at least one successful surgery) = 1 - P(no successful surgeries)

To find the probability of no successful surgeries, we use the complement rule and multiply the probabilities of three unsuccessful surgeries:

P(no successful surgeries) = 0.225 x 0.225 x 0.225 = 0.011390625

Therefore, the probability of at least one successful surgery out of three surgeries is:

P(at least one successful surgery) = 1 - 0.011390625 = 0.988609375

So, the answer is d. 0.989 (rounded to three decimal places).

Answer:

4

Step-by-step explanation:

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = − 7 x + 4 , we see that the y-intercept of the line is 4.

Add me brainiest

Answer:

Scientific research

Step-by-step explanation:

I don't know answer sorry mL nalang tayo

Answer:

3

Step-by-step explanation:

tan(A) = y-coordinate / x-coordinate

tan(A) = -3 / -1

tan(A) = 3/1

tan(A) = 3

Therefore, the value of tan(A) is 3.

(6v + 3)(6v + 3) + (2v + 5)(2v + 5) + (8w + 5)(8w + 5) = centimeters

Be aware that the perimeter expression does not indicate the sum of the squares of the triangle's side lengths but rather the full expression.

The whole length of a shape's boundary is referred to in geometry as the perimeter of the shape. By multiplying the lengths of all the sides and edges that surround an object, the perimeter may be calculated. It is measured in measures of length that are linear, such as centimetres, metres, inches, or feet.

It is measured from the object's edge to its perimeter. Like the yard that is fenced in at your home. The distance around anything is called its perimeter. If the yard is 50 feet by 50 feet your fence is 200 ft long.

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Answer:

180

Step-by-step explanation:

The area of a parallelogram is given by the formula A = b × h, where b is the base and h is the height. In this case, the base is 10 and the height is 18. Therefore, the area is:

A=10×18

A=180

The area of the parallelogram is 180 square units

answer:

a. scarf costs today = $6

b. scarf costs 3 days from now = $3

step-by-step explanation:

a. original price of scarf: $12

12 X 1/2 = 6

12 - 6 = 6

— scarf costs today = $6

b. 12 X 3/4 = 9

12 - 9 = 3

— scarf costs 3 days from now = $3

the p-value is between 0.05 and 0.1, which means we can conclude that there is weak evidence against the null hypothesis at the 5% level of significance.the answer is 0.05 < p < 0.1.

To find the p-value for a chi-square test for homogeneity, we need to use the chi-square distribution table with the appropriate degrees of freedom and compare the computed chi-square statistic to the critical value at the desired level of significance.

The degrees of freedom for a chi-square test for homogeneity is given by the formula df = (r - 1) * (c - 1), where r is the number of rows and c is the number of columns in the contingency table. In this case, we have three populations and one categorical variable with three values, so the contingency table has 3 rows and 3 columns. Therefore, the degrees of freedom is df = (3 - 1) * (3 - 1) = 4.

Using the chi-square distribution table with 4 degrees of freedom and looking up the value of chi-square at 2.05, we can see that the corresponding p-value is between 0.1 and 0.05. Specifically, the p-value is between 0.05 and 0.1, which means we can conclude that there is weak evidence against the null hypothesis at the 5% level of significance.

Therefore, the answer is 0.05 < p < 0.1.

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Answer:

1:3

Step-by-step explanation:

because you would get 1 of 3 flavours

The work done along the C segment is 5Nm.

As per the details share in the above question is as follow,

\(\int_C \mathbf{F}(\mathbf{r}) \cdot d \mathbf{r}\)

Force is F.

\(\mathbf{F}=\left[y^2,-x^2\right]\)

C is the straight line segment from (0,0) to (1,4).

Thus \(y=4x\)

The integrating limit is,

\(\left.\Rightarrow \quad \int_0^1(4 x)^2-x^2\right) d x\)

Further solving we get,

\(=\int_0^1 15 x^2 d x=5 \mathrm{Nm}\)

Therefore work done is 5Nm.

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Note the above question as follow,

Calculate \($\int_C \mathbf{F}(\mathbf{r}) \cdot d \mathbf{r}$\) for the given data. If \($\mathbf{F}$\) is a force, this gives the work done by the force in the displacement along \($C$\).

\($\mathbf{F}=\left[y^2,-x^2\right], C$\) is the straight-line segment from \($(0,0)$\) to \($(1,4)$\)

Answer:

0.14583333333

Step-by-step explanation:

0.14583333333

The equation to calculate the yearly interest earned on your investment of $750 at a 16% interest rate is: Interest = $750 * 0.16.

To write the equation for calculating the yearly interest earned on an investment, we can use the formula:

Interest = Principal * Rate

Where:

- Principal is the initial investment amount.

- Rate is the interest rate expressed as a decimal.

In this case, you invested $750, and the annual interest rate is 16%. To use the decimal form of the interest rate, we divide it by 100:

Rate = 16% = 16/100 = 0.16

Substituting the values into the equation:

Interest = $750 * 0.16

To calculate the interest, we multiply the principal by the interest rate:

Interest = $750 * 0.16 = $120

Therefore, the equation to calculate the yearly interest earned on your investment of $750 at a 16% interest rate is:

Interest = $750 * 0.16

Now, let's complete a table to show the growth of your investment over multiple years. We'll assume the interest is compounded annually.

Year | Initial Investment | Interest Earned | Total Value

---------------------------------------------------------

 1        $750                 $120              $870

 2        $870                 $139.20          $1009.20

 3        $1009.20            $161.47          $1170.67

 4        $1170.67            $187.31          $1357.98

 5        $1357.98            $217.28          $1575.26

In each year, we calculate the interest earned by multiplying the initial investment by the interest rate (16% or 0.16). The total value is obtained by adding the initial investment and the interest earned. This process is repeated for each subsequent year.

The table shows the growth of your investment over five years, demonstrating how the interest compounds and increases the total value each year.

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Sorry, I have to attach my solution as Brainly says it contains a link or inappropriate word when it doesn't

Answer:

24 ft²

Step-by-step explanation:

1/2x12x4=24 ft²

The  expressions equivalent to (x/3x) * (8x/3x) is 8/9 and 8x² / 9x².

Equivalent fractions are those that, despite their visual differences, reflect the same value given the equation.

By multiplying the numerator and denominator of each fraction by the same number, we can determine the equivalent fraction for each fraction.

(x/3x) * (8x/3x)

Multiplying the numerator and denominator:

= (x * 8x)/(3x * 3x)

= 8x² / 9x²

Further simplifying the equation:

= 8/9

The  expressions equivalent to (x/3x) * (8x/3x) is 8/9 and 8x² / 9x²

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Answer:

lxwxh

Step-by-step explanation:

Length x width x height

The easiest way to know if the ratios are equivalent is to solve the quotients

These ratios aren't equivalent.

The exact value of the expression tan(0/2) for the given value of 0 is 0.

In mathematics, it is important to understand how to simplify expressions and solve for their exact values. One such expression is tan(0/2), where 0 is a given value. In this explanation, we will break down the steps to simplify this expression and find its exact value without using a calculator.

The expression we are given is tan(0/2), which can be simplified using the formula for the tangent of half an angle. This formula states that tan(x/2) = sin(x) / (1 + cos(x)).

In our given expression, we have x = 0, so we can substitute it into the formula and get:

tan(0/2) = sin(0) / (1 + cos(0))

Now, we know that sin(0) = 0 and cos(0) = 1, so we can simplify further:

tan(0/2) = 0 / (1 + 1) = 0/2 = 0

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The solution of the equation (2w - 1) / 5 + w + 2 = 2w will be 3.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

(2w - 1) / 5 + w + 2 = 2w

Simplify the equation, then we have

(2w - 1) / 5 + w + 2 = 2w

(2w - 1) / 5 = w - 2

2w - 1 = 5w - 10

3w = 9

w = 3

The solution of the equation (2w - 1) / 5 + w + 2 = 2w will be 3.

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The complete question is given below.

Answer:

Below

Step-by-step explanation:

Find unit rate (since it starts at 0,0)

at 45 seconds  it is 900 bottles

             900 bottles / 45 seconds = 20 bottle / sec

20 bottles / sec * 80 sec = 1600 bottles