Factor the expression 9x^2 - 30x + 25 I need help

1) The probability that all the marbles are red:

There are 8 red marbles out of a total of 20 marbles (8 + 5 + 7). The probability of drawing 4 red marbles without replacement is:

(8/20) * (7/19) * (6/18) * (5/17) = 0.0392
Rounded to 4 decimal places, the probability that all the marbles are red is 0.0392.

2) The probability that none of the marbles are red:

There are 12 non-red marbles out of 20 total marbles. The probability of drawing 4 non-red marbles without replacement is:

(12/20) * (11/19) * (10/18) * (9/17) = 0.2614
Rounded to 4 decimal places, the probability that none of the marbles are red is 0.2614.

a) The probability of getting all Tails when tossing a fair coin 4 times is calculated by multiplying the probability of getting a Tail in each toss (which is 0.5). So, the probability is:

0.5 * 0.5 * 0.5 * 0.5 = 0.0625
Rounded to 4 decimal places, the probability is 0.0625.

b) To find the probability of getting at least one Head, we can find the probability of not getting any Heads (i.e., getting all Tails) and then subtract it from 1:

1 - 0.0625 = 0.9375
Rounded to 4 decimal places, the probability of getting at least one Head is 0.9375.

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Answer: D, E

Step-by-step explanation: This is the division property. D represents the answer to the question(the quotient) E represents another way to write the division expression with a slash instead of a division sign. Both are correct!

Answer:

2.4

Step-by-step explanation:

75/3=25.

So she can do 1 scarf in 25mins

60/25=2.4

she can do 2.4 scarfs in one hour

Answer:

9.6 or 9 whole scarves

Step-by-step explanation:

You have to change the 4 hours into 240 minutes.

You can set it up as a proportion.

\(\frac{3}{75}\) and \(\frac{x}{240}\)

Then you need to set it up as:

75 x = 240 · 3

Then you get:

75 x = 720

Now you set it up as:

x = 720 ÷ 75

When you divide you get 9.6.

So, X = 9.6.

Allison can sew 9 whole scarves in four hours. The answer could also be 9.6 scarves. Not sure which one you need.

For the given function correct option is (e).

We need to identify the point(s) on the graph of f at which the tangent plane is horizontal.

The function is given by:

f(x, y) = 3(x + 1)y²

For a function of two variables z = f(x,y), the equation of the tangent plane at a point (x0, y0, z0) is given by:

z = f(x0, y0) + fx(x0, y0)(x - x0) + fy(x0, y0)(y - y0)

Where fx(x0, y0) and fy(x0, y0) are the partial derivatives of f(x, y) with respect to x and y, respectively.

For the given function:

f(x, y) = 3(x + 1)y²fx(x, y) = 3y²fy(x, y) = 6(x + 1)y

Using the formula, we have:

z = 3(y0²)(x - x0) + 6(x0 + 1)y0(y - y0) + 3(x0 + 1)y0²

Thus, the tangent plane is horizontal when fy(x0, y0) = 0.

Therefore, the point(s) on the graph of f at which the tangent plane is horizontal is(are):

(x,0) for all x. Hence, the correct option is e.

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Answer:

19.26

Step-by-step explanation:

Answer:

119 degrees

Step-by-step explanation:

as the straight line has an angle of 180 degrees and we already know that a part of it is 61 degrees so we just subtract 61 from 180 and the answer we receive is 119

Normal faults assume a more shallow dip angle with depth; when the fault plane becomes nearly horizontal, these faults are termed as thrust fault.

Since,

A reverse fault in which the dip of the fault plane is so small as to be almost  horizontal is called thrust fault. In thrust faults, the hanging wall moves almost horizonatlly over the footwall.

Hence,

Normal faults assume a more shallow dip angle with depth; when the fault plane becomes nearly horizontal, these faults are termed as thrust fault.

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Answer:

(-86)

Step-by-step explanation:

\( \frac{a}{2} (b + c) {(d - e)}^{2} \\ \\ \frac{ - 10}{2} (10 + 9) {(2 - 5)}^{2} \\ - 50 - 45 {( - 3)}^{2} \\ - 50 - 45 (- 3)( - 3) \\ - 50 - 45 + 9 \\ - 95 + 9 = ( - 86)\)

The necessary positive value of n is 2.

What is Positive Value?

Positive numbers are any numbers that are greater than zero.

Given,

m varies inversely as the square of n.

When n = 3, then m = 6.

Inverse proportion: It is assumed that m is inversely proportional to n squared. So,

m ∝ 1/\(n^{2}\)

m = k/\(n^{2}\) ................. (1)

Where, k is the constant of proportionality.

Substitute m = 6 and n = 3 in the above equation.

6 = k / 3²

6 = k /9

6 * 9 = k

54 = k

Substitute this value in (i).

m = 54 / n²

Substitute m = 13.5 in the equation.

13.5 = 54 / n²

n² = 54 / 13.5

n = ± √4

n = ± 2

As a result, the required positive value of n is 2.  

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Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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The function is f(x) = -2x + 5, and the constants m and b are -2 and 5, respectively.

Given the function f(x) = mx + b, where m and b are constants, we know that:

limx→2 f(x) = 1

limx→3 f(x) = -1

Using the definition of a limit, we can rewrite these statements as:

For any ε > 0, there exists δ1 > 0 such that if 0 < |x - 2| < δ1, then |f(x) - 1| < ε.

For any ε > 0, there exists δ2 > 0 such that if 0 < |x - 3| < δ2, then |f(x) + 1| < ε.

We want to determine the values of m and b that satisfy these conditions. To do so, we will use the fact that if a function has a limit as x approaches a point, then the left-hand and right-hand limits must exist and be equal to each other. In other words, we need to ensure that the left-hand and right-hand limits of f(x) exist and are equal to the given limits.

Let's start by finding the left-hand limit of f(x) as x approaches 2. We have:

limx→2- f(x) = limx→2- (mx + b) = 2m + b

Next, we find the right-hand limit of f(x) as x approaches 2:

limx→2+ f(x) = limx→2+ (mx + b) = 2m + b

Since the limit as x approaches 2 exists, we know that the left-hand and right-hand limits must be equal. Thus, we have:

2m + b = 1

Similarly, we can find the left-hand and right-hand limits of f(x) as x approaches 3:

limx→3- f(x) = limx→3- (mx + b) = 3m + b

limx→3+ f(x) = limx→3+ (mx + b) = 3m + b

Since the limit as x approaches 3 exists, we know that the left-hand and right-hand limits must be equal. Thus, we have:

3m + b = -1

We now have two equations:

2m + b = 1

3m + b = -1

We can solve for m and b by subtracting the first equation from the second:

m = -2

Substituting this value of m into one of the equations above, we can solve for b:

2(-2) + b = 1

b = 5

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The correct answer is c. party discipline in Congress.

The rise of the incumbency effect, which refers to the advantage incumbents have in elections, has been attributed to various factors. However, the factor that is not typically attributed to the incumbency effect among the options provided is party discipline in Congress (option c).

The incumbency effect is primarily influenced by factors such as name recognition of the incumbent due to franking privileges (option a), which allow incumbents to send mail to constituents at government expense;

constituent service (option b), where incumbents can leverage their position to assist constituents and gain their support; and the incumbent advantage in obtaining campaign contributions (option d), as incumbents often have established networks and resources that can aid their fundraising efforts.

Party discipline in Congress is more related to the ability of political parties to maintain unity and enforce collective action among their members. While party support can be beneficial to incumbents, it is not a direct factor contributing to the incumbency effect as name recognition, constituent service, and fundraising advantages are.

Therefore, the correct answer is c. party discipline in Congress.

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The largest distance he can miss by in any planar direction and still have a successful shot is 1.75 inches.

What is the planar direction?

A planar direction refers to a direction in a plane, which is a flat, two-dimensional surface. It is a direction that is perpendicular to a given plane and is limited to a single plane. In three-dimensional space, a planar direction is specified by a vector that lies in the plane, or by two angles that define the direction in the plane relative to some reference direction.

This can be found by using the formula for the size of an object based on its angular size and distance from the observer:

Size = Distance * (Angular size in radians)

We can convert the angular size of one minute to radians:

1 minute = 1/60 degrees = pi/10800 radians

So the size of the target at 100 yards away is:

Size = 100 * (pi/10800) = pi/108 inches

And the largest distance he can miss by in any planar direction is half the size of the target:

Largest miss = Size/2 = pi/216 inches = 1.75 inches (approx).

Hence,  the largest distance he can miss by in any planar direction is 1.75 inches.

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Answer:

1

Step-by-step explanation:

Slope is x-y, so its 1

Answer

the slope is 1

Step-by-step explanation:

Answer:

4,000 pounds = 2 tons :)

Answer:

\(22.91^\circ, 202.91^\circ\)

Step-by-step explanation:

Given that:

\(tan\theta=0.4226\)

To find:

The two values of \(\theta = ?\)

Solution:

By given equation:

\(\theta = tan^{-1}(0.4226)\)

\(\theta\) can be equal to \(\approx 20.91^\circ\)

Also, we know the property that, \(tan\theta\) is positive in the 3rd quadrant.

and following is also true:

\(tan\theta = tan(180^\circ+\theta)\)

Therefore, another value possible for \(\theta\) can be:

\(\theta =180^\circ+22.91\\\Rightarrow \theta \approx 202.91^\circ\)

Therefore, the answer is:

\(22.91^\circ, 202.91^\circ\)

The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .

The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.

The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.

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Answer:

Maria paid less. She paid $.13 less than Apri.

Step-by-step explanation:

Maria-divide $22.68 by 7.2= $3.15 per gallon of gas

April-divide $31.16 by 9.5=$3.28 per gallon of gas

The power rule states that the derivative of a function of the form f(x) = x^n is given by f'(x) = nx^(n-1). However, for the function f(x) = x^32, the derivative does not exist at x = 0 because the power rule is not applicable for negative or zero exponents.

The power rule states that the derivative of a function of the form f(x) = x^n is given by f'(x) = nx^(n-1). Applying the power rule to f(x) = x^32, we would have:

f'(x) = 32x^(32-1)

= 32x^31.

However, when we consider x = 0, the derivative f'(x) = 32x^31 becomes 0^31, which results in an indeterminate form. This means that the derivative does not exist at x = 0.

In the case of the function y = 4x^3 - 9x^2 - 120x + 4, we can find its derivative by applying the power rule to each term:

a) f'(x) = d/dx(4x^3) - d/dx(9x^2) - d/dx(120x) + d/dx(4)

= 12x^2 - 18x - 120.

b) Setting the derivative equal to zero gives:

12x^2 - 18x - 120 = 0.

c) To solve for x, we can factor the quadratic equation:

12x^2 - 18x - 120 = 0

3(4x^2 - 6x - 40) = 0

3(2x - 10)(2x + 4) = 0.

Setting each factor equal to zero, we get:

2x - 10 = 0 --> x = 5/2,

2x + 4 = 0 --> x = -2.

Therefore, the solutions for x are x = 5/2 and x = -2.

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Answer:

1) -2√2 2) 98

Step-by-step explanation:

the picture 1 and 2 are for question 1

the picture 3 and 4 are for question 2

Answer:

I think C u hope I'm right

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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The formula for calculating total revenue (TR) is, TR = Price x Quantity

The total revenue is the product of the price per unit of a product or service and the total quantity of that product or service sold.

The formula for calculating total revenue (TR) is:

TR = Price x Quantity

This formula is used to calculate the total amount of money earned by a company or individual through the sale of goods or services.

It is important to note that total revenue does not take into account any expenses or costs associated with producing or selling the product. To determine the profitability of a business, total revenue must be compared to the total cost of production, including fixed costs and variable costs, as well as any other expenses related to running the business.

Therefore, the total revenue = Price × Quantity

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Answer:

A

Step-by-step explanation:

the other options have a common difference

Answer:

A is not arithmetic series

Step-by-step explanation:

In B,C and D there is arithmetic series as a2-a1=a3-a2

In A. there is no such series.....

Answer:

$13 overpayment

Step-by-step explanation:

We can find the amount Trevor should pay each month by dividing the $26,555 by 36 months:

               ($26,555/(36 months)) = $737.64 per month

Since Trevor decide to round up to the nearest dollar, he will pay $738 each month.  That's an overpayment of $0.361 each month.

After 36 months of overpaying by $0.361 each month, Trevor will have overpaid:

  ($0.36/month)*(36 months) = $13 overpayment

Answer:

1.39

Step-by-step explanation:

nearest hundredth is 9

therefore 1.39 ig

Answer:

1.39

Step-by-step explanation:

0.090 is the hundreth. If the number in the thousandths spot is less than 5, which it is, you round back to 0.090