Which of the following describes the polynomial function?
8
-8-8-4-2
6
4
2
L
9
-6
do
4
6 8 X
O The function has a negative leading coefficient.
O The function has an odd degree.
O The function has one turning point.
O The function has zero x-intercepts

Answer:

1/25

Step-by-step explanation:

The probability of drawing a blue marble, replacing it, then drawing a yellow marble is 1/25.

Given,

A bag contains four red marbles, six green marbles, eight yellow marbles, and two blue marbles.

We need to find the probability of drawing a blue marble, replacing it, then drawing a yellow marble.

A combination is used to select required items from a set where the order of selection does not matter.

It is given by:

n^Cr = n! / r! (n-r)!

Where n = the number of elements present in a set.

Find the number of each marble.

Red marbles - 4

Green marbles - 6

Yellow marbles - 8

Blue marbles - 2

Find the probability of drawing a blue marble

P ( B ) = ^2C_1 / ^20C_1

          = (2! / 1!) / (20! / 19! 1!)

          = 2 / 20

          = 1/10

Find the probability of drawing a yellow marble

P ( Y ) = ^8C_1 / ^20C_1

          = (8! / 1! 7!) / (20! / 191 1!)

          = 8 / 20

          = 2 / 5

Find the probability of drawing a blue marble, replacing it, then drawing a yellow marble

Both the probability is independent so,

P = P ( B ) X P ( Y )

  = 1/ 10 X 2 / 5

  = 1 / 25

Thus the probability of drawing a blue marble, replacing it, then drawing a yellow marble is 1/25.

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Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

Given:

Payment required at the end of each year: P50,000

Number of years until the daughter starts college: 8

Interest rate: 7% (compounded annually)

We can calculate the annual savings using the formula for the present value of an ordinary annuity:

P = \dfrac{PMT \times (1 - (1 + r)^{-n}{r}

Where:

P = Present value (amount to be saved annually)

PMT = Payment amount (P50,000)

r = Interest rate per period (7% or 0.07)

n = Number of periods (8)

Let's substitute the given values into the formula:

\[ P = \dfrac{50,000 \times (1 - (1 + 0.07)^{-8}{0.07} \]

Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

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The product of (1.78 × 10⁻⁷) and (5.03 × 10⁻⁵) in scientific notation is approximately 8.95 × 10⁻¹², rounded to three significant digits.

To express the product of (1.78 × 10⁻⁷) and (5.03 × 10⁻⁵) in scientific notation, we need to multiply the numerical parts and add the exponents.

First, we multiply the numerical parts: 1.78 × 5.03 = 8.9474.

Next, we add the exponents: (10⁻⁷) × (10⁻⁵) = 10⁻⁷⁺⁻⁵ = 10⁻¹².

Putting it all together, we have 8.9474 × 10⁻¹².

To round to the appropriate number of significant digits, we consider the precision of the original values. Both 1.78 and 5.03 have three significant digits. Therefore, we round the product to three significant digits, which gives us 8.95.

Thus, the product expressed in scientific notation, rounded to the appropriate number of significant digits, is approximately 8.95 × 10⁻¹².

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Answer:

Step-by-step explanation:

Note: If Ava decides to reduce the time she does each activity by 16minute I believe it should be

1. Ava spends 45min per day studying

    reduce this amount be 16min we have=45-16=29min

    in a year she will spend 365*29= 10585min

2. She also practices the piano for an average of 20 minutes per day

   reduce this amount be 16min we have=20-16=4min

    in a year she will spend 365*14= 5110min

3. She practices soccer 1.5 hours three times a week.

   in minutes 1.5hours is 90min three times a week

   in a day 90*3/7= 270/7=38.57

    reduce this amount be 16min we have=38.57-16=22.57min

    in a year she will spend 365*22.57= 8238.05min

in total for the year  she spends studying and practicing

=10585+ 5110+8238.05

=23933.05min to hours =23933.05/60

=398.88hours

Answer:1. Ava spends 45min per day studying

   reduce this amount be 16min we have=45-16=29min

   in a year she will spend 365*29= 10585min

2. She also practices the piano for an average of 20 minutes per day

  reduce this amount be 16min we have=20-16=4min

   in a year she will spend 365*14= 5110min

3. She practices soccer 1.5 hours three times a week.

  in minutes 1.5hours is 90min three times a week

  in a day 90*3/7= 270/7=38.57

   reduce this amount be 16min we have=38.57-16=22.57min

   in a year she will spend 365*22.57= 8238.05min

in total for the year  she spends studying and practicing

=10585+ 5110+8238.05

=23933.05min to hours =23933.05/60

=398.88hours

Step-by-step explanation:

Answer:

47% or47/100

Step-by-step explanation:

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope is 5 and the y-intercept is -1. Therefore, the equation of the line is:

y = 5x - 1

This means that for any value of x, we can find the corresponding value of y on the line by plugging in x and solving for y. For example, if x = 2, then:

y = 5(2) - 1 = 9

So the point (2, 9) is on the line.

Answer:

The relative frequency is found by dividing the class frequencies by the total number of observations

Step-by-step explanation:

Relative frequency measures how often a value appears relative to the sum of the total values.

An example of how relative frequency is calculated

Here are the scores and frequency of students in a maths test

Scores (classes)              Frequency                Relative frequency

0 - 20                                10                               10 / 50 = 0.2

21 - 40                               15                               15 / 50 = 0.3

41 - 60                               10                               10 / 50 = 0.2

61 - 80                                5                                 5 / 50  = 0.1

81 - 100                             10                                10 / 50 = 0.2

                                          50                                               1

From the above example, it can be seen that :

Answer:

33 and 57

Step-by-step explanation:

The measure of one angle is 24 degrees greater than the measure of its complement. what are the measures of the angles?

angle 1 (A)= x

angle 2 (B) = x + 24

Complementary angles sum to 90 degrees so:

A + B = 90

substitute in:

x + x + 24 = 90

subtract 24 from both sides:

x + x + 24 - 24 = 90 - 24

x + x = 66

combine left side:

2x = 66

divide both sides by 2:

2x/2 = 66/2

x = 33

so the two angles are 33 and 33 + 24 = 57

Answer:

x-5

Step-by-step explanation:

You need to make 4x into a singular x. To do that divide the whole equation by 4 which is 1x or which is just x. Make sure to divide the -20 which is -5 making the whole equation x-5

Answer:

If the two linear equations have the same slope, the equations represent the same line. Since a line intersects with itself everywhere, there will be an infinite number of solutions.

The value of  f(g(5)) is obtained as -2.

For two functions f(x) and g(x), a composite function is defined as f(g(x)) or g(f(x)). The properties of this function are as follows,

The inverse of a composite function is the same as the composition of the inverse of both functions.

The composition of two one to one functions is always one to one.

The value of f(g(5)) is equal to the value of the composite function f(g(x)) at x = 5.

The value of g(5) from the graph is 2.

Now, f(g(5)) = f(2)

The value of f(2) from the graph is -2.

Thus, f(g(5)) = -2

Hence, the value of the given composite function is f(g(5)) = -2.

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Answer:

1.00 significant figures

The required, 0.9967 rounded to 2 significant figures is approximately 1.0.

To round 0.9967 to 2 significant figures, we look at the first two non-zero digits: 0.9967

The first two non-zero digits are 99. Since there is no third significant digit, we round according to the following rules:

If the third digit is 5 or greater, round up the second digit.

If the third digit is less than 5, leave the second digit unchanged.

In this case, the third digit is 6, which is greater than 5. So, we round up the second digit:

Thus, 0.9967 rounded to 2 significant figures is approximately 1.0.

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Answer:

45

Step-by-step explanation:

Answer:

10th term is the answer

Step-by-step explanation:

33-8= 25

25-8= 17

17-8= 9

9-8= 1

1-8= -7

-7-8= -15

-15-8= -23

-23-8= -31

-31-8 = -39

Answer:

20%

Step-by-step explanation: The percent of error formula is |(theoretical value-actual value)/actual value|=percent of error. Substitute the values in. |(2.8-3.5)/3.5|=|(-0.7)/3.5|=0.2. The percent equal to 0.2 is 20%.

Answer:

c is the right answer

Step-by-step explanation:

Answer:

f(x)=740

Step-by-step explanation:

f(x)=45x+200

If f(12)

f(x) = 45(12) +200

f(x) = 540 +200

f(x)=740

The range is 740 and we get the range by substituting x = 12 in the given function.

Given,

John's health club has an enrollment fee of $200 and costs $45 a month. The total cost of the membership is a function of the number of months. The function is represented by f(x)=45x+200.

The domain is 12 months.

We need to find the range and explain it.

The domain is the input value and the range is the output value of the given function.

We have a function:

f(x) = x + 1

f(1) = 1 + 1 = 2

Domain = 1.

Range = 2.

Find the range of f(x) = 45x + 200.

We have,

Domain = 12 months.

x = 12.

f(12) = 45 x 12 + 200

       = 540 + 200

       = 740.

Thus the range is 740 and we get the range by substituting x = 12 in the given function.

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Answer:The answer is either C or D

Answer: A

Step-by-step explanation:

To find the inverse of a matrix, you want to use the formula \(\frac{1}{determinant\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] } *\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right]\). All you need is to plug in the values that fit into a, b, c, d. First, you need to find the determinant of the original matrix. To find the determinant, you do ad-bc.

2*8-5*3=16-15=1. Our determinant is 1 so all we have left to solve is

\(\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right]\). We take our values and plug in.

\(\left[\begin{array}{ccc}8&-5\\-3&2\\\end{array}\right]\) is our inverse.

Answer:

B. 8 x (-$12.50)

Step-by-step explanation:

Answer:

9x+8y= 11

Step-by-step explanation:

i hope this what you needed

Answer:

L^2 = area of square = As

As = 14 L H / 2      where L H /2 = area of triangle

L^2 = 14 L H / 2

H = L / 7    or L = 7 H

Let the length of one side of square = 7 in

As = 7^2 = 49 in^2        area of square

H = 7     height of one side of triangle (other side = 1)

Area of triangle = 7 * 1 / 2 = 7/2 in^2

14 * At = 49

Area of square 7 * 7 = 49 in^2      Seems to checkout

The probability distribution of x is as follows: x = 0 with probability 0.286, x = 1 with probability 0.489, x = 2 with probability 0.214, and x = 3 with probability 0.019. The total probability is equal to 1.

Let us start with understanding what is a probability distribution?A probability distribution is a function that displays the probability of the possible outcomes of a random event. There are two types of probability distributions: discrete and continuous probability distributions.There are 2 TVs out of a total of 7 TVs that are defective. If the hotel buys 3 TVs randomly, let's look at the possible scenarios: 1. The hotel can purchase all 3 TVs without any defective TV.2. The hotel can purchase two good TVs and one defective TV.3. The hotel can purchase one good TV and two defective TVs.4. The hotel can purchase all 3 TVs and all of them could be defective. As there are only 4 possible scenarios, the probability distribution of x will be as follows: x = 0, the probability is P(x = 0) = 5/7 × 4/6 × 3/5 = 0.286x = 1, the probability is P(x = 1) = 5/7 × 4/6 × 2/5 + 5/7 × 3/6 × 2/5 + 2/7 × 5/6 × 3/5 = 0.489x = 2, the probability is P(x = 2) = 5/7 × 2/6 × 1/5 + 2/7 × 5/6 × 2/5 + 5/7 × 1/6 × 2/5 = 0.214x = 3, the probability is P(x = 3) = 2/7 × 1/6 × 2/5 = 0.019.

The probabilities are obtained using the formula, P(x = k) = probability of selecting k defective TVs x (the number of defective TVs) with the formula nCr. Note that nCr = n! / r! (n - r)! where n = total number of items and r = number of items selected. The probability distribution of x is then represented by the following table: Probability distribution of xValue of x 0 1 2 3 Probability P(x) 0.286 0.489 0.214 0.019 .

Therefore, the probability distribution of x is as follows: x = 0 with probability 0.286, x = 1 with probability 0.489, x = 2 with probability 0.214, and x = 3 with probability 0.019. The total probability is equal to 1.

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The maximum profit if the profits per acre are $75 for corn and $40 for soybeans is $371,255.83. Therefore, the correct option is c.

To find the maximum profit from planting corn and soybeans, we can use linear programming. Let's first define the variables and write the constraints.

Let x be the number of acres of corn and y be the number of acres of soybeans.

1. Total acre constraint: x + y ≤ 6,000

2. Fertilizer/herbicide constraint: 9x + 3y ≤ 40,501

3. Labor constraint: 0.75x + y ≤ 5,250

The objective function to maximize is the profit function: P(x,y) = 75x + 40y

Now, we will use the Solver to find the maximum profit:

Step 1: Set up a spreadsheet with the constraints and the objective function.

Step 2: Go to the Data tab and click on Solver. If Solver is not available, you may need to add it in Excel Options.

Step 3: Set the objective function by selecting the cell with the profit function.

Step 4: Choose "Max" for the objective.

Step 5: Add the constraints by selecting the corresponding cells.

Step 6: Click on "Solve" and the Solver will find the optimal values for x and y.

After using Solver, we find that the optimal values are x = 4,363.89 (corn) and y = 1,636.11 (soybeans), which yields a maximum profit of $371,255.83. Therefore, the correct answer is c: $371,255.83

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Answer: 484/5

Step-by-step explanation:

For this word problem, it seems confusing with the wording but the equation would just be:

968÷10=x

solving for x, we get 484/5.

The set of variables that is most likely to have a cause-and-effect relationship is option C: the weight of a box and the postage rate we have to pay to ship the box to California.

Based on the given sets of variables, the set most likely to have a cause-and-effect relationship is:
B. The height of a person and the weight of a person

This is because there is a general correlation between a person's height and their weight, as taller individuals tend to have higher weights. While this is not an absolute rule, there is a stronger cause-and-effect relationship in this set compared to the other options.

This is because the weight of the box is a likely cause of the postage rate, as the heavier the box, the more postage we will have to pay to ship it. In options A and B, there may be a correlation between the variables, but it is less likely that there is a direct cause-and-effect relationship. In option D, the make of a car is not a likely cause of its mileage, as there are many other factors that can affect a car's mileage.

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Answer:

In 5 years, you will have $1,288.48

Step-by-step explanation:

Answer Nate will have 1,288.48 in his bank after 5 years

I hope this helps but if it's wrong I'm sorry just let me know what I did wrong

Step-by-step explanation:

The angle 67° is corresponding with the expression (4x+3°) and corresponding angles are equal

4x+3°=67°

4x=67°-3°

4x=64°(divide both sides by 4)

x=16

Answer:

a=671000

Step-by-step explanation:

woah

The formula for the number of internet host computers as an exponential function of t is: n(t) = 35.3 × e^((1/7) × ln(n(7) / 35.3) × t) and the values of a and k in the model are k = (1/7) × ln(n(7) / n(0)) and a = n(0) = 35.3 million

a. To find the values of a and k, we can use the information given in the question. Let n(0) be the number of host computers in July 1998, which is 35.3 million. Let n(7) be the number of host computers in July 2005, which is 352.1 million. We can use these values to solve for a and k.

n(0) = a × e^(k0) = a

n(7) = a × e^(k7)

Dividing the second equation by the first equation, we get:

n(7) / n(0) = e^(k×7)

Taking the natural logarithm of both sides, we get:

ln(n(7) / n(0)) = k×7

Therefore, k = (1/7) × ln(n(7) / n(0)) and a = n(0) = 35.3 million.

Therefore, the formula for the number of internet host computers as an exponential function of t is:

n(t) = 35.3 × e^((1/7) × ln(n(7) / 35.3) × t)

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