Express f(x) in the form f(x) = (x-k)q(x) + r for the given value of k. f(x) = 7x4 - 2x³-14x²-x; k= 3 f(x)=(x-x)+

Answer:

it's C.

Step-by-step explanation:

Answer:

84%

Step-by-step explanation:

Okay, I want to work out the chance that was between 20 and 60. Other words will find the area. 20 2 60 this area here. And the answer is because the area under the curve is always one in total. So the workout p of 20, less than x. Less than 60 here. I need a calculator And the input on the TI 84 plus is as follows, you press the second blue button, second, followed by vars V A R S, that's by the arrow keys on the right, that brings up the menu for distributions and what you want is normal C D E F Number two on the list, so normal C D E F. You press enter and it was a lower upper, lower is 20 upper is 60. The mean is 50 and the standard deviation is 10, There's a four number input. So 20 for lower 60 for upper 50 for the mean And 10 for the s. d. Standard deviation so, and then paste that onto the screen and press enter and we get 0.83999. And hear what they want. There's a percent to have some more places.

Therefore, it will be 84.00 percent. The two decimal places

Answer:

0.006 km

Step-by-step explanation:

600 cm to km

we have to divide by 100000

=> 600/100000

=>6/10000

=>0.006 km

Answer: 5:1

Step-by-step explanation:

25:5

Divide by 5 both sides

5:1

Answer:

ffggggggggggytdcuihgr

The total distinguishable ways can the donors be in line is 362,736.

The total number of distinguishable ways:

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880

To subtract the number of in-distinguishable arrangements:

(4! x 3!) + (3! x 2!) = 144

There are 362,736 distinguishable ways in which four donors with type O blood, three donors with type A blood, and two donors with type B blood can be in line.

This is calculated by first determining the total number of distinguishable arrangements, which is 9!.

Then,

The number of indistinguishable arrangements is subtracted from the total.

Which is done by multiplying the number of arrangements for each blood type separately and then adding them together.

The result is then subtracted from the total, leaving the number of distinguishable ways.

The total number of distinguishable ways is:

362,880 - 144 = 362,736

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Answer:

-5.47

Step-by-step explanation:

–3.86 + 6.82=2.96

4.02-12.45= -8.43

-8.43+2.96= -5.47

Answer:

45 cupcakes.

Step-by-step explanation:

90% of 50 = 45.

Hope this helps :)

Answer: the solution of the sytem is x = 4, y = 11/3.

Step-by-step explanation:

There are multiple ways to solve this, you could just graph the other line and see at which point both lines intersect, that point is the solution of the system.

I will do it in a more analytical way.

We have the two equations:

y = -(1/3)*x + 5

y = (5/3)*x - 3

x and y represent the same number.

then we must have y = y

then we can write:

-(1/3)*x + 5 = y = (5/3)*x - 3

this means that:

-(1/3)*x + 5 = (5/3)*x - 3

Now we can solve this for x.

To do it, let's move all the terms with x to the left, and the terms without x to the right:

-(1/3)*x - (5/3)*x = -3 - 5

-(6/3)*x = -8

-2*x = -8

x = -8/-2 = 4

We found the value of x, now we can replace this in one of the two equations to get the value of y.

Let's use the first equation:

y = -(1/3)*4 + 5 = -4/3 + 5 = -4/3 + 15/3 = (15 - 4)/3 = 11/3

Then the solution of the sytem is x = 4, y = 11/3.

Also can be written as (4, 11/3).

The weighted mean takes into account the weight of each investment and can provide a more accurate measure of the overall rate of return on the portfolio than the mean or median.

The weighted mean, mean, and median overall rate of return on this investment portfolio can be calculated using the following formulas:

Weighted Mean: Weighted mean = (R1 x W1) + (R2 x W2) + (R3 x W3) + ...

Mean: Mean = (R1 + R2 + R3 + ...) / N

Median: Median = (N + 1) / 2

where R1, R2, etc. are the returns on individual investments, W1, W2, etc. are the weights assigned to each investment, and N is the total number of investments in the portfolio.

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Work Shown:

I'm assuming earlier above it mentions the triangles are similar.

If so, then,

LJ/RP = KJ/QP

28/42 = x/33

28*33 = 42*x

x = 28*33/42

x = 22

If both circles have the same center and the circumference of the inner circle is 96.712 feet, the area of the shaded region is 3765.645 ft².

Given: circumference of inner circle = 96.712 ft

length of outer ring = 22.5 ft

π=3.14

Circumference of a circle can be calculated using the formula,

C = 2πr

where C⇒ circumference of a circle,

          r⇒ radius of a circle.

We can find the radius of the inner circle by calculating the circumference of the inner circle, i.e,

96.712 ft = 2 x 3.14 x r, where r represents the radius of the inner circle,

∴ r = 15.4 ft

The radius of the outer circle = 22.5 + 15.4

                                       R = 37.9 ft

So,

Area of the outer circle = πR²

                                    A =  3.14 x  (37.9ft)²........................(i)

⇒Area of the outer circle, A = 4510.3274 ft²

Next,

Area of the inner circle = πr²

                                   a = 3.14 x (15.4ft)²

⇒Area of the inner circle, a = 744.6824 ft²........................(ii)

So,

Area of the shaded region = Area of the outer circle - Area of the inner circle

                                            = 4510.3274 ft² -  744.6824 ft²

                                            = 3765.645 ft²

Therefore, If both circles have the same center and the circumference of the inner circle is 96.712 feet, the area of the shaded region is 3765.645 ft².

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Please Brainliest

The origin of the number zero is believed to be ancient India, where it was invented as a placeholder in the decimal system around the 5th century CE. The concept of zero as a number in its own right was a revolutionary idea that greatly advanced mathematical understanding and allowed for much more efficient mathematical calculation. From India, the use of zero spread to the Islamic world and eventually to the West. The modern representation of zero as a circle or a digit was introduced in the 13th century in India.

Answer:

a) 92 m

b) 74 cm

Step-by-step explanation:

a)

2(length) + 2(width) = perimeter

2(x) + 2(73) = 330 m

2x + 146 = 330

2x = 184

x = 92 m

b)

length * width = area

85 * x = 6290 cm²

85x = 6290

x = 74 cm

Answer: Your answer would be 12 pencils and 9 pens

Step-by-step explanation:

have a nice day

The number of pencils that Anna sold, given the cost of each pen and pencil was 12 pencils.

P = number of pencils Anna sold,

N = number of pens Anna sold.

From the problem, we know that:

P + N = 21 (the total number of items sold is 21)

$1P + $2N = $30 (the total money made from selling the items is $30)

So therefore:

P = 21 - N

By substitution:

$1*(21 - N) + $2*N = $30

21 - N + 2N = 30

21 + N = 30

N = 30 - 21

N = 9

So, Anna sold 9 pens. Substituting N back into the first equation to find P:

P = 21 - N

P = 21 - 9

P = 12 pencils

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Ans=8

Step-by-step explanation:

...............................

Answer:

6edkruky4jeyenegnyejyehetngenegn

we have only one outcome that is neither positive nor negative, then the statement is false.

What is square root?

A value known as the square root of a number is one that, when multiplied by itself, yields the original number. An alternative to square rooting a number is to use it. Therefore, the concepts of squares and square roots are connected. The original number is equal to the square root of any integer, which is equivalent to a number.

Let's assume that m is an integer that is positive, such that (m.m) = (m2) = m.

This seems to be true because:

-2*-2 = 2*2 = 4

So √4 = 2 and -2

But particularly the square root of zero is:

√0 = 0

So here we have only one outcome that is neither positive nor negative, then the statement is false.

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Answer:

f(x) = 4x + 3

Step-by-step explanation:

plug in some x values to test:

4(0) + 3 = 0 + 3 = 3

4(3) + 3 = 12 + 3 = 15

4(6) + 3 = 24 + 3 = 27

it checks out

Answer:

It would be the last one

Step-by-step explanation:

here are the coirdantes:

0-3

3-15

6-27

9-39

So if u try the first one

f(x)=x+3

3(1)=3

3+3=9

So it does not work

The second choice:

f(x)=-4x-3

3(-4)

-12-3=-15

It does not work

The third choice:

f(x)=1/4x+3

3(1/4)=3/4

3/4+3=3 3/4

The last one:

f(x)=4x+3

9(4)=36

36+3=39

As you can see the last one works

I hope this helped :D

(Fyi you can use your graphing calculator: (Ti-38))

Step-by-step explanation:

(gof)(x) is basically g(f(x))

= 4 × (3x - 1)² + 9

= 4 × (9x² - 6x + 1) + 9

= 36x² - 24x + 4 + 9

= 36x² - 24x + 13

The estimated sum of 779 and 747.16 is approximately 1,526.16.

Estimation is the process of approximating or calculating a value, quantity, or measurement based on limited information or incomplete data.

It involves making an educated guess or inference to obtain an approximate value that is close to the actual or true value.

In the context of mathematics and statistics, estimation is commonly used to obtain an approximate value for a specific quantity or to make predictions based on available data.

It involves using statistical techniques and methods to estimate parameters, such as means, proportions, or totals, based on a sample or subset of the population.

To calculate the estimated sum, we add the two numbers: 779 + 747.16 = 1,526.16.

In this case, the estimate is a close approximation of the exact sum.

The numbers 779 and 747.16 are relatively small and easy to work with, so the calculation can be done accurately without any significant rounding errors.

The estimated sum is useful when we need a quick approximation of the actual result. It can be used in situations where an exact calculation is not necessary or when we need to quickly estimate the magnitude of the sum.

However, it's important to note that the estimated sum may not be precise and may introduce a small degree of error compared to the exact sum.

Therefore, in cases where precision is crucial, it is advisable to use the exact calculations rather than relying on estimates.

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Time-series analysis is most effective when used in medium- to long-term forecasts.

Time-series analysis is most effective when used in​ short-term forecasts. So, the correct option is D. Short.

In mathematics, time series are data points indexed (or listed or plotted) over time. In general, a time series is a sequence obtained at successive points in time. So it is a discrete time data series. Examples of time series are the peak height of the Dow Jones Industrial Average, the number of days, and the daily closing price.

Time series are usually organized by running charts (timeline charts). Time series statistics, signal processing, pattern recognition, econometrics, financial mathematics, weather forecasting, earthquake prediction, electroencephalography, control engineering, astronomy, communications engineering, etc. It is used with the time measurement field in many science and engineering fields.

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Answer:

AC and YX are corresponding sides.

AB and YZ are corresponding sides.

BC and ZX are corresponding sides.

Step-by-step explanation:

Hope this helps and have a nice day

Answer:

x = 34°

Step-by-step explanation:

corresponding angles made by a transversal intersecting parallel lines are congruent.

The root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.

The False Position method involves finding the x-value that corresponds to the x-intercept of the line passing through \(\((a, f(a))\)\) and \(\((b, f(b))\),\)where (a) and (b) are the endpoints of the interval.

Let's begin the iterations:

Iteration 1:

\(\(a = -1\), \(f(a) = (-1)^3 - 3(-1) - 1 = -3\)\)

\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -3\)\)

The line passing through (-1, -3) and (1, -3) is (y = -3). The x-intercept of this line is at (x = 0).

Therefore, the new interval becomes [0, 1] since the sign of f(x) changes between\(\(x = -1\) and \(x = 0\).\)

Iteration 2:

\(\(a = 0\), \(f(a) = (0)^3 - 3(0) - 1 = -1\)\)

\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -2\)\)

The line passing through\(\((0, -1)\) and \((1, -2)\) is \(y = -x - 1\)\). The x-intercept of this line is at (x = -1).

After the second iteration, the new interval becomes [-1, 1] since the sign of f(x) changes between (x = 0) and (x = -1).

Therefore, the root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.

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Answer:

Step-by-step explanation:

Move all terms not containing xx from the center section of the inequality.

Inequality Form:

0<x<30<x<3

Interval Notation:

(0,3)

Answer:

y=-4

x=-3

Step-by-step explanation:

x=3y/4

5*(3y/4) +6y+39=0

15y/4+6y+39=0

3.75y+6y+39=0

9.75y=-39

y=-4

x=-3

Answer:

u didnt give out the choses but it might be a chance to be dilation

Step-by-step explanation:

"the action or condition of becoming or being made wider, larger, or more open."

since she enlarge it without altering the center of it

There are over 6 quadrillion ways to make starting hands for Derek, Margaret, and Lenny!

We can start by finding the number of ways to choose 7 cards out of the 52 for Derek, then the number of ways to choose 7 cards out of the remaining 45 for Margaret, and then the remaining cards (which will form Lenny's hand).

The number of ways to choose 7 cards out of 52 is:

C(52,7) = 133,784,560

Once Derek has his 7 cards, there are 45 cards remaining, so the number of ways to choose 7 cards for Margaret is:

C(45,7) = 45,379,620

Finally, Lenny gets the remaining cards, so there is only one way to choose his hand.

Therefore, the total number of ways to make starting hands for all three players is:

133,784,560 x 45,379,620 x 1 = 6,081,679,822,404,800

So there are over 6 quadrillion ways to make starting hands for Derek, Margaret, and Lenny!

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The critical value of f at 0.05 level is 3.7083.

The ANOVA table breaks down the components of variation in the data into variation between treatments and error or residual variation. Statistical computing packages also produce ANOVA tables as part of their standard output for ANOVA, and the ANOVA table is set up as follows: Source of Variation and Sums of Squares (SS)

From given ANOVA table,

df of among treatments = 3066.63 / 1022.21 = 3

df Error = 13 - 3 = 10

Critical f value Fc = F(\alpha, d.f.1 , d.f.2) = F(0.05, 3 , 10) = 3.7083

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Complete question:

Step 7 of 8: What is the critical value of F at the 0.05 level? Please round your answer to four decimal places, if necessary.

The R code calculates the probability of X being less than or equal to a particular value (here x=3) which is approximately equal to 1.

Here is the main answer with R code and the required terms:

Given that the PDF of X is f(x) = e^(-x) for 0 ≤ x where λ=6.

Thus, X is exponentially distributed with parameter λ = 6. We can calculate the probability of X being less than or equal to a particular value using the cumulative distribution function (CDF) of X.

Cumulative distribution function (CDF) of X:F(x) = P(X ≤ x) = ∫_0^x f(y) dy = ∫_0^x e^(-λy) dy = 1 - e^(-λx).

We can use this formula in R code to find the CDF value of any specific X value.x <- 3 .

the value of X we want to find the probability forF_x <- 1 - exp(-6 * x)F_x#0.9975274.

The above R code shows that the probability of X being less than or equal to 3 is 0.9975274 which is almost equal to 1.

X is exponentially distributed with parameter λ = 6, with the PDF f(x) = e^(-λx). We can find the CDF of X using the formula F(x) = 1 - e^(-λx). The above R code calculates the probability of X being less than or equal to a particular value (here x=3) which is approximately equal to 1.

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