Using the distance formula, calculate how far Tre threw the ball. (4 points: 2 points for setup, 1 for calculation, 1 for the answer).

The resulting function is f(x) = (5/5)x^5 + (4/4)x^4 + (4/2)x^2 + 7x - 15. To find f(x), we need to integrate f "(x) with respect to x. We know that the derivative of a function is the rate of change of that function with respect to its independent variable.

So, integrating the second derivative of a function will give us the function itself.

Therefore, integrating f "(x) = 20x^3 + 12x^2 + 4 with respect to x, we get f'(x) = 5x^4 + 4x^3 + 4x + C1, where C1 is a constant of integration.

Now, using the given information that f(0) = 7, we can find the value of C1.

f(0) = 7
f'(0) = 0 + 0 + 0 + C1 = 0 + C1 = 7
C1 = 7

Thus, f'(x) = 5x^4 + 4x^3 + 4x + 7

Integrating f'(x) with respect to x, we get f(x) = (5/5)x^5 + (4/4)x^4 + (4/2)x^2 + 7x + C2, where C2 is another constant of integration.

Using the given information that f(1) = 3, we can find the value of C2.

f(1) = (5/5)1^5 + (4/4)1^4 + (4/2)1^2 + 7(1) + C2 = 5 + 4 + 2 + 7 + C2 = 18 + C2 = 3
C2 = -15

Therefore, the function f(x) is:

f(x) = (5/5)x^5 + (4/4)x^4 + (4/2)x^2 + 7x - 15

In summary, the function f(x) can be found by integrating the second derivative of f(x) given in the question. The constants of integration are then found using the given information about the function's values at certain points. The resulting function is f(x) = (5/5)x^5 + (4/4)x^4 + (4/2)x^2 + 7x - 15.

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Answer:

Concepts: Basic Linear Algebra

Answer:

(405x ^ 7)²

405²x^14

164025x^14 is a square of 405x ^ 7

Step-by-step explanation:

The current exchange rate is 1 US dollar = 1 euro.

The exchange rate of a currency is the worth of one currency in respect to another, or the rate at which one currency will be exchanged for another.

The foreign exchange market, commonly known as Forex or FX, is a global decentralized market for currency trading that determines the exchange rates of such currencies.

A currency exchange rate is the rate at which one currency can be exchanged for another. In other words, the exchange rate is the price of one currency in terms of another.

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The equation of the line passing through the points (6,7) and (8,3) will be y = -2x + 19.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line is:-

y = mx + c

The slope of the line will be calculated by the formula below:-

m = ( y₂ - y₁) / ( x₂ - x₁ )

m = ( 3 - 7 ) ( 8 - 6 )

m = -2

The equation of the line is:-

y = mx  + c

y = -2x + x

Pass the equation through one of the points.

7 = 6(-2) + c

c = 7 + 12

c = 19

The equation will be written as:-

y = -2x + 19

Therefore, the equation of the line passing through the points (6,7) and (8,3) will be y = -2x + 19.

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a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.

a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:

Future Value = Present Value * (1 + interest rate)ⁿ

Where:

Future Value = $40,000

Present Value = $25,000

Interest rate = 12% = 0.12

n = number of years

Substituting the given values into the formula, we have:

$40,000 = $25,000 * (1 + 0.12)ⁿ

Dividing both sides of the equation by $25,000, we get:

(1 + 0.12)ⁿ = 40,000 / 25,000

(1.12)ⁿ = 1.6

To solve for n, we can take the logarithm of both sides of the equation:

n * log(1.12) = log(1.6)

Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:

n * 0.0492 = 0.2041

n = 0.2041 / 0.0492 ≈ 4.15

b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:

Future Value = Present Value * (1 + interest rate)ⁿ

$40,000 = $25,000 * (1 + interest rate)³

Dividing both sides of the equation by $25,000, we have:

(1 + interest rate)³ = 40,000 / 25,000

(1 + interest rate)³ = 1.6

Taking the cube root of both sides of the equation:

1 + interest rate = ∛1.6

Subtracting 1 from both sides, we get:

interest rate = ∛1.6 - 1

Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:

interest rate = 1.126 - 1 ≈ 0.126

To express the interest rate as a percentage, we multiply by 100:

interest rate = 0.126 * 100 = 12.6%

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The driving time in order to complete the course of 2000-mile trip with an average speed of 55 miles/hr is 36.36 hr and when travelling with an average speed of 70 miles/hr then it is 28.57hr.

In order to calculate the average speed taken for a car to be driven 2000-miles with an average speed of 55 miles/hr is

Time = distance/ speed

Time =  2000/ 55

Time = 36.36 hr

now, if we alter the average speed to 70 miles/hr then the driving time for travelling a distance of 2000-miles will be

Time = distance/ speed

Time = 2000/ 70

Time = 28.57 hr

The driving time in order to complete the course of 2000-mile trip with an average speed of 55 miles/hr is 36.36 hr and when travelling with an average speed of 70 miles/hr then it is 28.57hr.

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Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!

Answer:

50.26 is the area.

Hope it helps!!!

Answer:

b=7

Step-by-step explanation:

7 squared is 49, so b equals 7. I hope that was what you were looking for, and that it helps.

Answer:4(-5+3y) or -20+12y

Step-by-step explanation:

Order of operations states you have to distribute -6 to (5-2y) before you subtract anything from 10.

-6(5-2y) = -30 + 12y

10 - 30 + 12y = -20 + 12y

You can factor out a 4 now.

4(-5 + 3y)

Step-by-step explanation:

First, let's rewrite the equations.

1/2x + 1/3y =6

x - y = 2

The easiest system to use for substitution is the second one.  Let's solve for X.

x - y = 2

    add y to both sides!

x = 2 + y

Now that we know x = 2 + y we can use it to substitute in the first equation.

1/2(2 + y) +1/3y = 6

1 + 1/2y +1/3y = 6

5/6y = 5

y = 36/5

Answer:

there is no work?

Step-by-step explanation:

Answer:

Step-by-step explanation:

the probability that 50 or more requests are made for pop songs is  0.0967, or about 9.67%.

The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success.

We can use the binomial distribution to model this situation, where the number of trials is 120 (the number of people at the party), and the probability of success (making a request for a pop song) is 0.37. Let X be the number of requests for pop songs. Then:

The mean of X is μ = np = 120 x 0.37 = 44.4

The standard deviation of X is σ = sqrt(np(1-p)) = sqrt(120 x 0.37 x 0.63) = 4.32

To find the probability that 50 or more requests are made for pop songs, we can use the normal approximation to the binomial distribution, which applies when np >= 10 and n(1-p) >= 10.

Let Z be a standard normal random variable, then:

P(X >= 50) = P((X - μ)/σ >= (50 - μ)/σ)

= P(Z >= (50 - 44.4)/4.32)

= P(Z >= 1.2963)

= 1 - P(Z < 1.2963)

= 1 - 0.9033

= 0.0967

Therefore, the probability that 50 or more requests are made for pop songs is approximately 0.0967, or about 9.67%.

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Answer:

12,000-(0.05x)=t

Step-by-step explanation:

Answer:

Step-by-step explanation:

You are given a couple of points:

  (years, heigh) = (6, 7) and (9, 16)

and asked to write a linear equation that they satisfy. In general, you need to find the slope using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (16 -7)/(9 -6) = 9/3 = 3

__

The point-slope form of the equation for a line can be used with this information.

  y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)

Using the given points, you can write either of the equations ...

  y -7 = 3(x -6) . . . . . using the first point

  y -16 = 3(x -9) . . . . . using the second point. This matches choice B.

__

Either of the point-slope equations can be rearranged to give the slope-intercept equation.

  y -16 = 3(x -9)

  y = 3x -27 +16 . . . . eliminate parentheses, add 16

  y = 3x -11 . . . . . This matches choice C.

__

Additional comment

The first choice has the right slope, but uses a point not on the line (10, 6).

The last choice has the wrong slope and the wrong y-intercept.

Answer:

B

Step-by-step explanation:

0.25z+3d

=0.25(48)+3

=12+3

=15$

Brainliets please

The slope-intercept form of the equation of the line described is y = -6x/5 + 32/5.

Given the following data:

Points on x-axis = (-12, 6).

Points on y-axis = (14, -1).

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

Mathematically, the slope of any straight line can be calculated by using this formula;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Substituting the given points into the formula, we have;

Slope = (6 + 12)/-1 - 14)

Slope = -18/15

Slope = -6/5

Mathematically, the standard form of the equation of a straight line is given by;

y = mx + c

Where:

At point (-12, 14), we have:

14 = -6/5(-12) + c

8 = 72/5 + c

40 = 72 + 5c

5c = 72 - 40

c = 32/5

In conclusion, we can reasonably and logically deduce that the slope-intercept form of the equation of the line described is y = -6x/5 + 32/5.

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Answer:

-7x+20y+13

Step-by-step explanation:

Answer:

-7x+10y+13

Step-by-step explanation:

want the explanation?

I guess no cause you know that we need to collect like terms. :)

Answer:

x < -8

Step-by-step explanation:

Step 1: Translate

Product = multiplication = -8(x)

More than = >

64 = 64

Step 2: Write out inequality

-8x > 64

Step 3: Solve

x < -8

if Spinner A has m options and Spinner B has n options, the total number of different possible sums is n x (m + 1).

To determine the number of different sums possible when two spinners are spun, we need to know the number of options for each spinner and then find all possible sums.

Let's say Spinner A has m options and Spinner B has n options. Then, the possible sums are:

m + 1 different possible sums when Spinner A lands on the first option, namely the sum of the first option on Spinner A and the n different options on Spinner B.

m + 1 different possible sums when Spinner A lands on the second option, namely the sum of the second option on Spinner A and the n different options on Spinner B.

...

m + 1 different possible sums when Spinner A lands on the m-th option, namely the sum of the m-th option on Spinner A and the n different options on Spinner B.

Therefore, the total number of different possible sums is:

(m + 1) + (m + 1) + ... + (m + 1) (n times)

This can be simplified to:

n x (m + 1)

what is number?

A number is a mathematical object used to quantify and measure things, such as quantities, sizes, and values. Numbers can be expressed as numerals, symbols, or words and are used to perform calculations, make measurements, and compare values.

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Answer:

2x + 5

Step-by-step explanation:

Let x represent the number

Twice the number will be represented by 2x, since that multiplies the number by 2

Then, add 5 to this:

2x + 5

So, 2x + 5 is the expression that will represent this situation

Answer:

3) B is congruent toE

Step-by-step explanation:

B is congruent to E helps you prove triangle ◇ABC is similar to ◇ DEF, not congruent to it.

Average annual tuition in 2020 is 14,286.70.

Value is the worth of something in terms of its usefulness, quality, or importance. It is the importance that an individual, group or organization places on something and is an important concept in economics, business and politics. Value can be seen as a measure of how much someone or something is worth, both in terms of money and in terms of intangible qualities, such as respect or admiration. Value is subjective, meaning that it is based on personal opinion and perspective.

Using a graphing calculator, the equation of the line of best fit is y = 96.98x + 11145.46. The slope of the line is 96.98 and the y-intercept is 11145.46.

By substituting x = 15 into the equation, the estimated average annual tuition in 2020 is 14,286.70. This can be rounded to the nearest hundred dollars, giving an estimate of 14,300 dollars.

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If the actual temperature of steam is 99 °C and is assumed to be 100 °C in calculations, the error introduced can be significant depending on the specific calculations being performed.

Similarly, if the actual temperature of steam is 101 °C and is assumed to be 100 °C, the error introduced can also be significant.

The amount of error introduced when assuming the temperature of steam to be 100 °C instead of the actual temperature of 99 °C or 101 °C depends on the specific calculations being performed.

Similarly, in industrial processes, assuming an incorrect temperature of steam could result in inefficiencies or even safety hazards. Therefore, the difference between the actual temperature of steam and the assumed temperature of 100 °C should not be considered negligible in many cases.

In conclusion, the error introduced by assuming a temperature of 100 °C instead of the actual temperature of steam depends on the specific calculations being performed and can be significant in some cases. It is always best to use accurate and precise measurements in scientific and engineering calculations to minimize the potential for error.

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Complete Question:

1. If you use 100 °C for the temperature of steam in your calculations, how much error do you introduce if it is actually 99 °C or 101 °C? Is this difference negligible?

Answer:

15

Step-by-step explanation:

you just put 5/6 x 18 in calculator, please rate 5 stars :)

Answer:

15 pencils.

Step-by-step explanation:

Multiply 18 and 5/6 to find the answer.

\((18)(\frac{5}{6})=15\)

Therefore, she will have given away 15 pencils.

For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.

The given system of equations is:

Equation 1: x + 3y = h

Equation 2: -4x + ky = -9

For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.

Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.

For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.

To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.

Solving this equation for ok, we've got:

-1/3 = 4/k

-1 = 12/k

k = -12

Substituting k = -12 returned into the equation -1/3 = 4/k, we've:

-1/3 = 4/(-12)

-1/3 = -1/3

Since the equation holds real for any value of h, there aren't any restrictions at the price of h.

Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

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The system of equations has no solution when k is equal to 12. The value of h can be any real number.

To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.

The given system of equations is:

x + 3y = h

-4x + ky = -9

We can rewrite the second equation as:

-4x + ky = -9

Dividing both sides of the equation by -4, we get:

x - (k/4)y = 9/4

Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.

Therefore, for the system to have no solution, k must be equal to 12.

As for the value of h, it can be any real number since it does not affect the slopes of the lines.

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Answer:

is finding the square root

The inverse operation of squaring a number is finding the square root of that number. The square root of a number "x" is the value that, when squared, gives the original number.

When a number is squared, it is multiplied by itself. For example, squaring the number 4 gives 4^2 = 16.

The inverse operation undoes the effect of squaring and returns you to the original number. In this case, finding the square root of a number is the inverse operation of squaring.

The square root of a number "x" is a value that, when squared, gives the original number. It is denoted by the symbol √x.

For example, if you have the number 25 and you want to find its square root, you calculate:

√25 = 5

5 is the square root of 25 because when you square 5 (5^2), you get 25.

The inverse operation of squaring a number is finding the square root of that number. The square root of a number "x" is the value that, when squared, gives the original number. The concept of square root and squaring are inverse operations that are used in various mathematical calculations and problem-solving.

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