What is the value of q?
a. 4√5
b. 2√14
c. 20√5
d. 64√5

The number of ways is an illustration of combination

There are 1012 ways to send at least 2 and no more than 9 pledges to work

The given parameters are:

Pledges = 10

To send between 2 and 9 pledges

Start by calculating the number of ways to send all the pledges

\(n = 2^{10}\)

Also,

The number of ways the pledges can be sent is then calculated using the following complement rule

\(Ways = 2^{10} -1-1-10\)

Evaluate the expression

\(Ways = 1012\)

Hence, there are 1012 ways to send at least 2 and no more than 9 pledges to work

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Step-by-step explanation:

so, what's the problem ?

it's all there, we only need to take the calculator (or simply our heads) and do the calculation :

2×5 - 5×2 = 10 - 10 = 0

you see ? that was all that was needed.

put the given values for the variables into the places of these variables, and then calculate !

that is what variables are for : placeholders for actual values.

The correct value of 2f(a-1) is 2a^2 - 12a + 10.

To find the value of 2f(a-1), we need to substitute (a-1) into the function f(x) and then multiply the result by 2.

Given: f(x) = x^2 - 4x

Substituting (a-1) into the function:

f(a-1) = (a-1)^2 - 4(a-1)

Expanding and simplifying:

f(a-1) = (a^2 - 2a + 1) - (4a - 4)

f(a-1) = a^2 - 2a + 1 - 4a + 4

f(a-1) = a^2 - 6a + 5

Now, we multiply the result by 2:

2f(a-1) = 2(a^2 - 6a + 5)

Expanding:

2f(a-1) = 2a^2 - 12a + 10

Therefore, the value of 2f(a-1) is 2a^2 - 12a + 10.

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Answer:

less than is

<

Step-by-step explanation:

equal to is =

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Answer:

15/8 is the answer in fraction form (If you need it in decimal for comment below.)

Step-by-step explanation:

1/2x+3/2(x+1)-1/4=5

1/2x+3/2x+3/2-1/4=5

1/2x+3/2x+ 5/4 = 5

2x+6x+5=20

8x+5= 20

8x=20-5

8x=15

x= 15/8

Hope this helps.

Answer:

y = - x + 4

Step-by-step explanation:

x + y = 6

y = - x + 6

Slope= -1

Use the same slope since the two lines are parallel to each other.

Point-slope formula:

y - 8 = -1 (x - - 4)

y - 8 = -1 (x + 4)

y - 8 + 8 = -x - 4 + 8

y = - x + 4 (Slope-intercept form)

An equation of the line that passes through the point (−4,8) and is parallel to the line x+y=6 could be y = - x + 4 .

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

WE have

x + y = 6

y = - x + 6

Slope= -1

Now, Use the same slope since the two lines are parallel to each other.

Point-slope formula:

y - 8 = -1 (x - - 4)

y - 8 = -1 (x + 4)

y - 8 + 8 = -x - 4 + 8

y = - x + 4 (Slope-intercept form)

Hence, an equation of the line that passes through the point (−4,8) and is parallel to the line x+y=6 could be y = - x + 4 .

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I think it would be c

Answer:

C: either the mean or the median

Answer:

Step-by-step explanation:

D

The graph represents the inequality y < 1.

Option B is the correct answer.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

The horizontal line through the point (4, 1).

This horizontal line passes through y = 1.

The region below this horizontal line will be y < 1.

Thus,

The graph represents y < 1.

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Answer:

Option 4

Step-by-step explanation:

The domain of this function is the possible values of n that are suitable for this function. Since n represents a number of vehicles, the domain of n should be a whole number (since you cannot have a negative number of vehicles or half of a vehicle).

hope this helps :)

Therefore demand is "decreased by 100 units".

What is predicted value in regression?

Given the values of X, we can predict the values of Y using the regression line. We go directly up to the line for any given value of X, then move horizontally to the left to get the value of Y. The expected value of Y is abbreviated Y' and is known as the predicted value of Y.

\($$\begin{aligned}& \hat{y}=130-20 x \\& \hat{y}=\text { demand of product } \\& x=\text { price of product }\end{aligned}$$\)

Given \($x$\), increased by 5 units

\($$\begin{aligned}& \hat{y}=130-20(x+5)=130-20 x-100 \\& \hat{y}=30-20 x\end{aligned}$$\)

Therefore demand is "decreased by 100 units"

Complete question: Regression analysis was applied between demand for a product (y) and the price of the product (x), and the following estimated regression equation was obtained. ŷ = 130 − 20x Based on the above estimated regression equation, if price is increased by 5 units, then demand is expected to: increase by 100 units. decrease by 20 units. increase by 130 units. decrease by 100 units.

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Answer:

love

salvation

Step-by-step explanation:

Answer:

Hey!

Step-by-step explanation:

If A and B are sets, then the relative complement of A in B, also termed the set difference of B and A, is the set of elements in B but not in A.

Two Angles are Supplementary when they add up to 180 degrees. These two angles (140° and 40°) are Supplementary Angles, because they add up to 180°: Notice that together they make a straight angle.

Answer:

Step-by-step explanation:

The first line has a slope of -3 and a y-intercept of 0. It will go through the origin and the point (-1, 3).

The second line has a slope of 1 and a y-intercept of 4. It will go through the points (0, 4) and (-4, 0).

The solution to the system of equations is the point where the lines cross, (-1, 3).

Answer:

its 7

Step-by-step explanation:

Answer:

2x+y+1=0

Step-by-step explanation:

this is a first degree equation with two unknown variables, x and y. they are referred to as linear equation and are typically represented in slope intercepts form, y=mx+b, where m is the slope of the line and b is the y intercept. So you want to set the equation equal to y by isolating it to one side of the equation.

Subtract all term other than y (in this case, 2x and 1) from both sides of the equation.

2x+y+1-2x-1=0-2x-1

y=-2x-1

Answer:

M=-2 & C=-1

Step-by-step explanation:

2x+y+1=0

The equation of a straight line is given as

y=mx+c

where, m is the gradient slope

c is y- intercept

from the equation 2x+y+1=0

make y subject of the formula

2x+y+1=0

y= -2x-1

Therefore, Slope (M)=-2 & y-intercept (c)=-1

Answer:

0.2027 = 20.27% probability that a non-defective product came from the second machine

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Non-defective product.

Event B: From the second machine.

Probability of a non-defective product:

100-13 = 87% of 30%(first machine)

100-9 = 91% of 20%(second machine)

100-9 = 91% of 50%(third machine).

So

\(P(A) = 0.87*0.3 + 0.91*0.2 + 0.91*0.5 = 0.898\)

Non-defective and from the second machine:

91% of 20%. So

\(P(A \cap B) = 0.91*0.2 = 0.182\)

What is the probability that a non-defective product came from the second machine

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.182}{0.898} = 0.2027\)

0.2027 = 20.27% probability that a non-defective product came from the second machine

Both calculations from part (1) and part (2) yield the same result of $0.86 for the new cost of the candy bar after 11 years.

Part 1 of 2:

The new cost of the candy bar after 11 years can be calculated by applying a 3% price increase each year to the original cost of $0.60.

To calculate the new cost after 11 years, we can use the formula:

New Cost = Original Cost * (1 + Percentage Increase)^Number of Years

Plugging in the values:

New Cost = $0.60 * (1 + 3%)^11

        ≈ $0.60 * (1 + 0.03)^11

        ≈ $0.60 * (1.03)^11

        ≈ $0.60 * 1.432364654

Rounding to the nearest cent, the new cost of the candy bar after 11 years is $0.86.

Part 2 of 2:

If the cost of the candy bar increased by 3% of the original cost each year for 11 years, we can calculate the final cost by multiplying the original cost by (1 + 3%) for each year.

Using the formula:

Final Cost = Original Cost * (1 + Percentage Increase)^Number of Years

Plugging in the values:

Final Cost = $0.60 * (1 + 3%)^11

          ≈ $0.60 * (1 + 0.03)^11

          ≈ $0.60 * (1.03)^11

          ≈ $0.60 * 1.432364654

Rounding to the nearest cent, the final cost would also be $0.86.

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Note: The complete question is - What will be the cost of the candy bar after a specific number of years if it originally sold for $.60 and undergoes a 3% price increase each year?

Answer:

x=9 which makes angle q 28 degrees

Step-by-step explanation:

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Answer:

-18x+8

Step-by-step explanation:

First you have to distribute the -2 to the 3x and the -5 in the parenthesis giving you -6x+10-12x-2.

Next you combine like terms which gives you -18x+8

1. integrate 75x ^ 4 * cos(5x ^ 5 - 3) dx

Integral by substitution

2. integrate 3cos u du

Isolate the coefficient

3 * integrate cos u du

Evaluate the integral

4. 3sin u

Simplify and add the C

= 3sin(5x ^ 5 - 3) + C

Answer

3sin(5x ^ 5 - 3) + C

hope this will help u

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Answer:

\(3sin(5x^{5} -3) + C\)

Step-by-step explanation:

\(\frac{d}{dx}[sin (ax^{n}+b)] = [anx^{n-1}cos(ax^{n} + b)]\)

a and b are constants

∴\(\frac{d}{dy} sin(5x^{5} -3) = [(5)(5)x^{5-1}-0] cos(5x^{5} -3)\)

                         = \(25x^{4} cos(5x^{5} -3)\)

\(\int\ {75x^{4}cos(5x^{5} -3)} \, dx\)

Rewriting the above by applying algebraic manipulation:

\(\int\ (3)(25){x^{4}cos(5x^{4} -3)} \, dx\)

=\(3[\int\ 25{x^{4}cos(5x^{5} -3)} \, dx]\)

= \(3sin(5x^{5} - 3) + C\)

C is a constant, which is added to the above integration because there are no limits set. In other words, this is an indefinite integral.

Answer: x=6/5

Step-by-step explanation:

Answer:

6/5

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

Answer:

B is a functional answer

Answer:

$1,620

Step-by-step explanation:

2% per year:

2% of 1,500 = 30

30 x 4 = 120

1500 + 120 = 1620

Answer:

x + 7

Step-by-step explanation:

ajiahaqjjaqjajajanqjq

Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

The margin of error for the 95% confidence level is approximately 0.016.

In statistics, a critical value is a value that is used to determine the acceptance or rejection of a null hypothesis, in a hypothesis testing procedure. The critical value is compared to the test statistic to determine if the null hypothesis can be rejected or not. Critical values are based on the significance level (alpha) and the degrees of freedom of the test. They are typically obtained from statistical tables or calculated using software or a calculator. The critical value is the boundary between the rejection region and the non-rejection region, and it helps to determine the likelihood of obtaining a certain result by chance.

The sample proportion can be calculated by dividing the number of voters against school bond measures by the total number of voters in the sample:

p = 403/1000 = 0.403

For a 95% confidence level, the critical value is 1.960 (from the table in the prompt).

The margin of error:

m = z × \(\sqrt{\frac{p*(1-p)}{n} }\)

Substituting the given values, we get:

m = 1.960 × \(\sqrt{\frac{0.403*(1-0.403)}{1000} }\)

m ≈ 0.0155

Therefore, the margin of error for the 95% confidence level is approximately 0.016.

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Answer:

Step-by-step explanation:

At equilibrium price and quantity, the answer is 1. The quantity supplied equals the quantity demanded.

This means that the market is in a state of balance, where the quantity of a good or service that producers are willing to supply is exactly the same as the quantity that consumers are willing to buy. As a result, there is no excess supply or excess demand, and the price of the good or service is stable.

Answer:

point A

Step-by-step explanation:

Answer:

y = 4x - 3

General Formulas and Concepts:

Algebra

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope m = 4

y-intercept b = -3

Step 2: Write linear function

y = 4x - 3