8. If b(x) = -2(x-50), what is the value of
b(20)? Request

======================================================

Explanation:

Count the number of times you divide by two and we have five occurrences of this. So there five rounds overall.

To get the total number of games played, we add up the quotients

16+8+4+2+1 = 31

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

Or as a shortcut we can simply subtract off 1 since 1+2+4+...+2^n = 2^(n+1)-1

We can write that rule as

\(\displaystyle \sum_{k=1}^{n}2^k = 2^{n+1}-1\)

which is equivalent to

\(\displaystyle \sum_{k=1}^{n}2^{k-1} = 2^n-1\)

The chain rule for the function: dh/dx = df/dx * du/dx * dv/dx, where df/dx, du/dx and dv/dx are the derivatives of f, u and v with respect to x.

The chain rule is a rule used to calculate the derivative of a composite function. It states that the derivative of the composite function is equal to the product of the derivatives of each of its component functions. In the case of the function dh/dx, where h(x) = f(x, u(x), v(x)), the chain rule can be written as:

dh/dx = df/dx * du/dx * dv/dx

This means that the derivative of h with respect to x is equal to the product of the derivatives of f with respect to x, u with respect to x, and v with respect to x. This can be broken down further, where df/dx is the derivative of f with respect to x, du/dx is the derivative of u with respect to x, and dv/dx is the derivative of v with respect to x.

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For the given function f(x) = 2x + 5 and g(x) = ( 2x + 5) -3 , affects of value of k on slope and y-intercept is as follow:

Slope of both function remain same, there is no affect of value of k on slope.

Change in the value of y-intercept . For f(x) y-intercept is 5 and for g(x) y-intercept is 2.

Graph is attached.

As given in the question,

Given functions are :

f(x) = 2x + 5

g(x) = ( 2x + 5) -3

From the graph of both the functions,

Let us consider two pairs of coordinate to find the slope,

For f(x)

(0,5) and ( -2, 1)

Slope of f(x) = ( 1- 5) / (-2 -0)

                    = 2

For g(x)

(0 ,2) and (-1, 0)

Slope of g(x) = ( 0-2) / (-1-0)

                     = 2

Slope remain unaffected.

y-intercept of f(x) , put x = 0

⇒ y = 5

y-intercept of g(x) , put x = 0

⇒ y =(0+ 5) -3

      = 2

Change in the value of y-intercept due the value of k = -3.

Therefore, for the given function f(x) = 2x + 5 and g(x) = ( 2x + 5) -3 , affects of value of k on slope and y-intercept is as follow:

Slope of both function remain same, there is no affect of value of k on slope.

Change in the value of y-intercept . For f(x) y-intercept is 5 and for g(x) y-intercept is 2.

Graph is attached.

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Answer: thank you

Step-by-step explanation:

The number 8,536 is divisible by 2, 4 and 8.

Answer:

2, 4 , 8  & 4273

Step-by-step explanation:

It is only divisible by 2 and 4273, the latter is prime number as well

Hope this helps

Derek's total income from selling 31 bags of popcorn at the first game is $62 and he sold 322 bags of popcorn over the whole season.

It is a branch of mathematics that deals with the occurrence of a random event.

a. Independent variable: Bags of popcorn (X)

Dependent variable: Income (I)

b. If the function is I(X) = 2X, we can find Derek's total income by plugging in the number of bags he sold at the first game, which is X = 31:

I(31) = 2(31) = 62

Therefore, Derek's total income from selling 31 bags of popcorn at the first game is $62.

c. To find out how many bags of popcorn Derek sold over the whole season, we need to rearrange the function to solve for X:

I(X) = 2X

X = I(X) / 2

We know that Derek made a total income of $644 over the whole season, so we can plug this in to find X:

X = 644 / 2 = 322

Therefore, Derek sold 322 bags of popcorn over the whole season.

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Answer:

hope I'm right-

Step-by-step explanation:

first row: 0.3

second row: 0.2

last row: 0.1

Answer:

its 35points .

your ans àsß9 de ê

Answer:

(3,-2)

Step-by-step explanation:

(0,-2)

you move 3 right

you change the x-axis

(3,-2)

Answer:

(3, -2)

There you go!! rlly hope this helps!!

Answer:

your work is hard

Step-by-step explanation:

Answer:

Exact Form:

11/6

Decimal Form:

1.83

Mixed Number Form:

1 5/6

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Answer:

Omg I'm so sorry thats happening to you. Are there any problem you need help with? I'm happy to help

Step-by-step explanation:

Answer:

Graph D

Step-by-step explanation:

3|x + 1| < 9

divide both sides by 3:

(3|x + 1|)/3 < 9/3

|x + 1| < 3

so:

x + 1 < 3 OR x + 1 > -3

first equation: x + 1 < 3

x + 1 < 3

subtract 1 from both sides:

x + 1 - 1 < 3 - 1

x < 2

(-∞,2)

Second equation:  x + 1 > -3

x + 1 < -3

subtract 1 from both sides:

x + 1 -1 > -3 - 1

x > -4

(-4,∞)

You are to graph: (-4,∞) ∩ (-4,∞)

this is Graph D.

Answer:

Graph D

Step-by-step explanation:

Given inequality:

\(3|x+1| < 9\)

Divide both sides by 3:

\(\implies |x+1| < 3\)

\(\textsf{Apply the absolute rule: \quad If $|u| < a$ when $a > 0$, then $-a < u < a$}\)

\(\begin{aligned} \underline{\sf Case\; 1} && \underline{\sf Case\; 2}\\-3& < x+1 & \quad \quad \quad x+1& < 3\\-4& < x & x& < 2\end{aligned}\)

Therefore, the solution set for the given inequality is:

\(\{x|-4 < x < 2\}\)

When graphing inequalities on a number line:

Place an open circle at x = -4 and x = 2.

Shade between the two values.

Steps to calculate the area are shown below and the figure is attached below.

The steps of calculating the area of the given figure are,

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The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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Answer:

Four percent

Step-by-step explanation:

Answer:

(-1, 7)

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

The concentration will be 0.5 mg/L at approximately 0.101 hours

To find when the concentration will be 0.5 mg/L, we need to solve the equation c(t) = 0.5:

20t / (t^2 +4) = 0.5

Multiplying both sides by (t^2 +4), we get

20t = 0.5(t^2 +4)

20t = 0.5t^2 + 2

Rearranging the terms, we get a quadratic equation

0.5t^2 - 20t + 2 = 0

Using the quadratic formula, we can solve for t

t = (20 ± sqrt(20^2 - 4(0.5)(2))) / (2(0.5))

Do the arithmetic operations

t = (20 ± sqrt(400 - 4)) / 1

t = (20 ± sqrt(396)) / 1

t ≈ 0.101 hours

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The given question is incomplete, the complete question is:

Suppose another drug is administered intravenously. The concentration c of the drug (in mg/L) in the bloodstream, t hours after it is administered, is modeled by the function  c(t)= 20t / (t^2 +4) A. Determine when the concentration will be 0.5 mg/L. B

switch the variables

x = -y + 6

x - 6 = -y

-x + 6 = y

Answer:

hmmmm

Step-by-step explanation:

Answer:kepler's 3rd law

Step-by-step explanation:

The kind of sample that is described in the scenario is a lottery sample.

The lottery sample is the kind of sample that is described in the scenario in which 500 people attend a charity event, and each of them buys a raffle ticket.

The ticket stubs are placed in a drum and mixed thoroughly, and out of them, a few are drawn.

People whose tickets are drawn are declared winners of a prize. It is a type of probability sampling that depends on the element of chance.

In this type of sample, the probability of selecting an element is unknown and cannot be measured. I

t is a random process in which the probability of winning or being selected for the sample is entirely based on chance.

Hence, the lottery sampling technique is the appropriate one in the scenario.

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Answer:

A. Both the domain and range of the transformed function are the same as those of the parent function.

Step-by-step explanation:

Parent absolute value function:

\(f(x)=|x|\)

Graph of the parent absolute value function:

Therefore:

If function f(x) is reflected across the y-axis:

\(\implies f(-x)=|-x|\)

The reflection does not change the graph as the parent function is symmetric about the y-axis.

If function f(x) is translated to the left 5 units:

\(\implies f(x+4)=|x+4|\)

The domain remains unrestricted and the range remains [0, ∞).

Therefore, both the domain and range of the transformed function are the same as those of the parent function.

The area in square meters will the oil slick cover is 9.5×10⁶ m².

15 barrels of diesel spilt into the ocean, where each barrel contains 42 gallons. Thereby the total volume of the oil spilt by 15 barrels is calculated as follows:

The total volume of the oil spilt by 15 barrels = 15× 42 gallons.

=630 gallons

1 gallon = 3.78541 liters

Volume in L = 630 gallons × 3.78541 liters/ 1 gallon

= 2384.8083 L

1 L = 10⁻³ m³

2384.8083  L = 2384.8083 × 10⁻³ m³

= 2.3848083 m³

The area covered by the oil spill has to be determined, where the thickness of the oil spill is given to be 2.5×10² nm.

1 nm = 10⁻⁹ m

Thereby, 2.5×10² nm = 2.5×10²×10⁻⁹ m

= 2.5×10⁻⁷ m

Area (m²) = volume (m³)/thickness (m)

= 2.3848083 m³/ 2.5×10⁻⁷ m

= 0.95392×10⁷ m²

= 9.5×10⁶ m²

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Answer:

(b) c2+6x+9=16

(e) (x+)2=16

Step-by-step explanation:

Answer:

3x^3+7x^2y−4y^3

Step-by-step explanation:

(3x^2+xy+−2y^2)(x+2y)

=(3x^2)(x)+(3x^2)(2y)+(xy)(x)+(xy)(2y)+(−2y^2)(x)+(−2y^2)(2y)

=3x^3+6x^2y+x2y+2xy^−2xy^2−4y^3

=3x^3+7x^2y−4y^3

Answer:

Q=8 Units

Step-by-step explanation:

FIrst from the Critical cost if we take first derivative we get marginal upcost i-e

\(CU(Qd) = 3(Qd)^2\)

taking first derivative we get

\(MC_U = 3 \cdot2 Q\)

\(MC_U = 6\)

similarly taking derivative of downstream we get

\(MC_d = 2Q\)

\(MC_d = 2\)

\(MR= 2+6Q\)

\(P = 82-2Q\)

\(Revenue = P*Q = 82Q-2Q^2\)

So \(Revenue = P*Q = 82Q-2Q^2\)

\(82-4Q = 2+6Q\)

\(10Q=82-2\)

\(Q=\frac{80}{10}\)

\(Q=8~Units\\\)

The number that can each terms of the equation be multiplied by to eliminate the decimals before solving is 100

The equation is

5.6j + 0.12 = 4 + 1.1j

The equation is defined as the mathematical expression that shows the relationship between one expression and another expression with equal sign. The equation consist of mathematical operator like addition, subtraction, division and multiplication

The equation is

5.6j + 0.12 = 4 + 1.1j

Here three term has fractional part.

In 0.12 there are two digits after the decimal point to eliminate the decimal number we have to multiply the number with 100 .

Then the equation will become

560j + 12 = 400 + 110j

Therefore, the number is 100

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The given question is incomplete, the complete question is

Which number can each term of the equation be multiplied by to eliminate the decimals before solving?

5.6j + 0.12 = 4 + 1.1j

A representative sample is one that accurately depicts the a population> This representative sample can be determined through sampling. The examples of sampling methods used are random sampling, stratified random sampling

Answer:

G should be at the sum of y and x combined but x is not given

Step-by-step explanation:

Answer:

(0,-2)

Step-by-step explanation:

The graph intercepts through the y axis, G.

You can get these coordinates b solving the equation like so:

y=3x-2

move the x varible to the left side and the y to the left....

-3x+y=-2        

 -3x=-2-y

divided both sides by 3 to isolate x

x= 2/3+ 1/3y

when you graph that equation you get the points (0,-2)