A rectangle with length n is inscribed in a circle of radius 9. Find an expression for the area of the rectangle in terms of n

Answer:

2710 is the answer

Step-by-step explanation:

1800+130(7)

Answer:

can u add the question so we can help?

Step-by-step explanation:

Answer:

The instantaneous velocity at t = 1 will be:

Step-by-step explanation:

Given the position of an object at a time \(t\)

\(s\left(t\right)=-8-9t\)

As we know that determining the derivative of the position function with respect to time t would give us the instantaneous velocity, so

\(\frac{ds}{dt}=\frac{d}{dt}\left(-8-9t\right)\)

Applying the sum/difference rule:

\(\left(f\pm g\right)'=f\:'\pm g'\)

\(\frac{ds}{dt}=-\frac{d}{dt}\left(8\right)-\frac{d}{dt}\left(9t\right)\)

as

\(\frac{d}{dt}\left(8\right)=0\)    ∵ \(\frac{d}{dx}\left(a\right)=0\)

and

\(\frac{d}{dt}\left(9t\right)=9\)   ∵ \(\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'\)  and \(\frac{d}{dt}\left(t\right)=1\)

so the expression becomes

\(\frac{ds}{dt}=-\frac{d}{dt}\left(8\right)-\frac{d}{dt}\left(9t\right)\)

   \(=-0-9\)

   \(=-9\)

As the derivative is constant.

Therefore, the instantaneous velocity at t = 1 will be:

7 in.3 hope it helps

Answer:

$6.80

Step-by-step explanation:

1.79 x 3.8 = 6.802

So $6.80

The surface area of the prism formed by the net is 538 square feet².

The area occupied by the surfaces of an object is called its surface area. In geometry, different 3D shapes have different surface areas which can be easily calculated using the formula:

\(\boxed{\bold{\sf SA= 2 \times(lw + wh + lh)}}\)

Let,

So,

\(\sf SA= 2\times(45+80+144)\)

\(\sf SA =2\times269\)

\(\sf SA =\bold{538 \ square \ feet^2}\)

Thus, the surface area of the prism formed by the net is 538 square feet².

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Answer:

64,339 = π(r^2)(20)

r^2 = 1,023.987

r = 32 ft

The overall degree of the expression is determined by the term with the highest degree, which in this case is 3.

The degree of a term in an algebraic expression is determined by the sum of the exponents of the variables in that term. In the expression -5a^2b + 4a^2 - 2b + 5, the highest exponent of the variable 'a' is 2, and the highest exponent of the variable 'b' is 1 (since 'b' appears by itself without an exponent, we can consider it as having an exponent of 1).

Therefore, the degree of the term -5a^2b is 2 + 1 = 3.

The degree of the term 4a^2 is 2.

The degree of the term -2b is 1.

The degree of the term 5 (which is a constant) is 0.

So, the degree of the expression -5a^2b + 4a^2 - 2b + 5 is 3.

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The differential equation describing the rate at which x is growing is: dx/dt = 57 - kx, where k is a constant. The solution to the differential equation, subject to the initial condition x(0) = 0, is: x(t) = (57/k)(1 - e^(-kt)). To find the number of days it takes for the new bills to account for 90 percent of the currency in circulation, we need to solve for t in the equation 0.9 = x(t)/10.

A. The rate at which x is growing is given by the difference between the money coming into the banks (57 million dollars per day) and the rate at which old currency is being replaced (kx, where k is a constant representing the rate of replacement). Therefore, the differential equation is dx/dt = 57 - kx.

B. To solve the differential equation, we can separate variables and integrate both sides. This leads to the solution x(t) = (57/k)(1 - e^(-kt)). The constant k can be determined by considering the initial condition x(0) = 0.

C. To find the number of days it takes for the new bills to account for 90 percent of the currency in circulation, we substitute x(t)/10 = 0.9 into the solution obtained in part B. Solving for t, we can determine the number of days it will take for this condition to be met.

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Having a rectangular pasture for the animals to graze in is something a farmer wants in order to start growing cows, horses, goats, and sheep. She has decided to purchase 7500 ft of fencing. 1875 square feet is the maximum possible area that each of the four pens will enclose.

The maximum possible area of each pen is 1875 square feet. To calculate this, first calculate the total area of the large rectangle that the farmer is enclosing. To do this, multiply the total length of the fencing (7500 feet) by the width of the fence (1 foot). This gives us 7500 square feet as the area of the large rectangle.

Next, divide the area of the large rectangle by 4 to get the area of each pen. This gives us 1875 square feet as the maximum area of each pen.

Total Area of Large Rectangle = 7500 ft x 1 ft = 7500 sq ft

Area of Each Pen = 7500 sq ft / 4 = 1875 sq ft

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The predicted fuel efficiency for a speed of 30 mph will be 26.50 mpg when the least-squares regression line is given.

If the data demonstrates a stronger link between two variables, the line that best matches this linear relationship is known as a least-squares regression line, and it minimizes the vertical distance between the data points and the regression line. A regression line is a straight line that illustrates how a response variable y varies when an explanatory variable x changes. The line is a mathematical model that predicts the value of y given a value of x. A regression line predicts the value of y for a given value of x. A regression line is discovered through regression analysis. When the explanatory variable changes, the regression line shows how much and in which direction the response variable changes.

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Answer:15.6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The degree of the variable that appears in the polynomial has the most power. The leading term is the one with the highest degree or the one with the highest power of the variable. The coefficient of the leading term is the leading coefficient.

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable.

For instance, the polynomial 2x+5 has an exponent of 1.

A polynomial is not an expression with a variable that has fractional or negative exponents, divides by a variable, or is contained inside a radical.

The biggest power of the variable that occurs in the polynomial is its degree.

The term with the highest degree—i.e., the term with the largest power of the variable—is the leading term.

The leading coefficient is the leading term's coefficient.

Therefore, the degree of the variable that appears in the polynomial has the most power. The leading term is the one with the highest degree or the one with the highest power of the variable. The coefficient of the leading term is the leading coefficient.

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Answer:

-4

Step-by-step explanation:

the required slope can be calculated using the formula:

\(s=\frac{Y_C-Y_D}{X_C-X_D}=\frac{5-1}{2-3}=-4.\)

Answer:

n = 7

Step-by-step explanation:

\(Area \: of \: \triangle = \frac{1}{2} \times base \times height \\ \\ 12 = \frac{1}{2} \times (n + 5) \times (n + 5 - 10) \\ \\ 12 \times 2 = (n + 5)(n - 5) \\ \\ 24 = {n}^{2} - {5}^{2} \\ \\ 24 = {n}^{2} - 25 \\ \\ 24 + 25 = {n}^{2} \\ \\ {n}^{2} = 49 \\ \\ n = \pm \: \sqrt{49} \\ \\ n = \pm \: 7 \\ \\ n = - 7 \: \: or \: \: n = 7 \\ \)

Answer:

n = -7 ∪ 7

=> n = |7|

Step-by-step explanation:

S = 12cm = (n + 5) * (n + 5 - 10) / 2

\(S = 12cm = \frac{(n + 5) * (n + 5 - 10)}{2}\\\\=> 12 = \frac{(n+5)(n-5)}{2} \\12 = \frac{n^2-25}{2} \\24 = n^2 - 25\\-n^2 = -25 - 24\\-n^2 = - 49\\n^2 = 49\\n = |7| =>\\ x_1 = -7\\x_2 = 7\\\)

The sum of the rational number 4/5 and its reciprocal is 41/20. The reciprocal of a number is obtained by interchanging the numerator and denominator.

In this case, the reciprocal of 4/5 would be 5/4. To find the sum of 4/5 with its reciprocal, we add the two fractions:

4/5 + 5/4

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 5 and 4 is 20. Therefore, we can rewrite the fractions with a common denominator:

(4/5)(4/4) + (5/4)(5/5)

Simplifying these fractions, we get:

16/20 + 25/20

Now that the fractions have the same denominator, we can combine the numerators:

(16 + 25)/20

This simplifies to:

41/20

So, the sum of the rational number 4/5 with its reciprocal is 41/20.

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The complete question is:

What is the sum of the rational number 4/5 and its reciprocal?

Answer:

Step 1: Subtract x from both sides.

2x+3−x=x−4−x

x+3=−4

Step 2: Subtract 3 from both sides.

x+3−3=−4−3

x=−7

Answer:

x=−7

Answer:

Try "This year, the college accepted 2060 and did not accept 5150." because 5150/2060 is 2.5. It might be wrong but I do think that is the correct answer

Option C describes the situation.

    Given in the question,

Check each option for the ratio of the accepted and total number of students.

Option A.

\(\frac{\text{Accepted students}}{\text{Total students}}=\frac{2060}{5150+2060}\)

                        = 0.29 : 1

False.

Option B.

\(\frac{\text{Accepted students}}{\text{Total students}}=\frac{3090}{3090+2060}\)

                        = 0.6 : 1

False.

Option C.

\(\frac{\text{Accepted students}}{\text{Total students}}=\frac{2050}{2050+3075}\)

                        = 0.4 : 1

True.

Option D.

\(\frac{\text{Accepted students}}{\text{Total students}}=\frac{2220}{2220+5550}\)

                        = 0.29 : 1

False.

    Therefore, Option C defines the situation.

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Answer:

Step-by-step explanation:

8.5

We cannot determine which of the two options is the best one to get admitted to Yale.

In 2017, the mean of SAT scores in Ohio was 1149 with a standard deviation of 212. To get admitted to Yale, you need to score 1460 in the SAT or 33 in the ACT. So which of the two options is the best one to get accepted to Yale?

Solution: Given that the mean SAT scores in Ohio in 2017 was 1149, with a standard deviation of 212. Therefore, the normal distribution of SAT scores can be written as N (1149, 212).To get accepted into Yale, you need an SAT score of 1460 or an ACT score of 33.Because SAT scores are normally distributed, we can find the probability of scoring 1460 or higher by converting this score to a z-score. Using the formula below;Z = (X - µ)/σwhere X = 1460, µ = 1149 and σ = 212Z = (1460 - 1149)/212Z = 1.47Using the normal distribution table, we can find that the probability of obtaining a z-score of 1.47 or more is approximately 0.429. Therefore, the probability of obtaining a score of 1460 or higher on the SAT is 0.429.However, if you take the ACT instead, you will need to score at least 33. Unfortunately, we don't have enough information to compare the probability of scoring 33 or higher on the ACT to the probability of scoring 1460 or higher on the SAT. Therefore, we cannot determine which of the two options is the best one to get admitted to Yale.

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The given mean and standard deviation can be used to calculate the z-score of a student's SAT score. The z-score will tell us how many standard deviations a student's score is above or below the mean. To find which test score (SAT or ACT) would give you a better chance of getting into Yale, we will need to convert the ACT score to an equivalent SAT score and then compare that to your SAT score converted to a z-score.

SAT scores are normally distributed in Ohio in 2017 with mean = 1149 and standard deviation = 212.To get accepted into Yale, you need an SAT score of 1460 or an ACT score of 33.Z-score of 1460 can be calculated as below:z = (x - μ) / σwhere x = 1460, μ = 1149 and σ = 212.z = (1460 - 1149) / 212z = 1.4747So, a student needs to score 1.4747 standard deviations above the mean to get into Yale.Using the standard normal distribution table, we can find that the probability of a randomly selected student scoring higher than 1.4747 standard deviations above the mean is approximately 7.6%.This means that if a student scores a 1460 on the SAT, they would be in the top 7.6% of all test-takers in Ohio in 2017.Now, we need to find the equivalent SAT score of an ACT score of 33. According to the College Board, the equivalent SAT score for an ACT score of 33 is 1460. So, if a student scores a 33 on the ACT, they would be in the top 1% of all test-takers, and this score would be equivalent to a 1460 on the SAT.Therefore, if a student can score a 33 on the ACT, they would have a better chance of getting into Yale than if they scored a 1460 on the SAT.

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Answer:

no you cant

Step-by-step explanation:

The statistical value describes a regression line fits the data points:

R-squared

What is Statistical Value?

When it is extremely unlikely that an observed event occurred by accident, it is deemed statistically significant. An observed event is considered statistically significant when its p-value is less than a certain cutoff, or level of significance.

The statistical value describes a regression line fits the data points is

R-squared

The statistical indicator of how closely the data resemble the fitted regression line is called R-squared. For multiple regression, it is sometimes referred to as the coefficient of determination or the coefficient of multiple determination.

R-squared = Explained variation / Total variation

R-squared is always between 0 and 100%

The better the model matches your data, in general, the greater the R-squared.

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The volume of the solid is π/3.

The regions bounded by the curve x = y - y^3 in the first quadrant and the y-axis are to be revolved around the x-axis and the line y = 1, respectively.

The solids generated by revolving the region in the first quadrant bounded by the curve x=y-y3 and the y-axis about the x-axis are obtained by using disk method.

Therefore, the volume of the solid is:

V = ∫[a, b] π(R^2 - r^2)dx Where,R = radius of outer curve = yandr = radius of inner curve = 0a = 0andb = 1∫[a, b] π(R^2 - r^2)dx= π∫[0, 1] (y)^2 - (0)^2 dy= π∫[0, 1] y^2 dy= π [y³/3] [0, 1]= π/3

The volume of the solid is π/3.The solids generated by revolving the region in the first quadrant bounded by the curve x=y-y3 and the y-axis about the line y = 1 can be obtained by using the washer method.

Therefore, the volume of the solid is:

V = ∫[a, b] π(R^2 - r^2)dx Where,R = radius of outer curve = y - 1andr = radius of inner curve = 0a = 0andb = 1∫[a, b] π(R^2 - r^2)dx= π∫[0, 1] (y - 1)^2 - (0)^2 dy= π∫[0, 1] y^2 - 2y + 1 dy= π [y³/3 - y² + y] [0, 1]= π/3

The volume of the solid is π/3.

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Answer:

123456789

Step-by-step explanation:

123456789123456789123456789123456789123456789123456789123456789123456789123456789123456788912345678912345678912345678912345678912345678 there is your answer

Answer:

Step-by-step explanation:

Converte 80% into a decimal (devide it by 100) = 0.8

Then multiply 0.8 by 1.60 = 1.28 (final result)

There are 6,564,816 different slates of candidates possible.

To determine the number of different ways the archaeology club can select a president, vice president, treasurer, and secretary, you can use the permutation formula: n! / (n-r)!, where n is the total number of members (54) and r is the number of positions to fill (4).

The answer can be found by using the permutation formula:
nPr = n! / (n-r)!
Where n is the total number of members in the club (54) and r is the number of positions to be filled (4).
So, the number of different ways the club can select a president, vice president, treasurer, and secretary is:
54P4 = 54! / (54-4)!
= 54 x 53 x 52 x 51
= 6,564,816
Therefore, there are 6,564,816 different slates of candidates possible.

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Answer:

37,349

Step-by-step explanation:

month 1

27870 x .05 = 1394

27870 + 1394 = 29264

month 2

29264 x .05 = 1463

29264 + 1463 = 30727

month 3

30727 × .05 = 1536

30727 + 1536 = 32263

month 4

32263 x .05 = 1613

32263 + 1613 = 33876

month 5

33876 x .05 = 1694

33876 + 1694 = 35570

month 6

35570 x .05 = 1779

35570 + 1779 = 37349

Answer:

35,570

Step-by-step explanation:

solution 1 - Multiply by 5%, 6 times. Easter to calculate without a calculator, long process.

1. 27870*1.05= 29,263.5

2. 29263.5*1.05=30726.675

3.repeat

4.repeat

5.repeat

6.repeat

if it's hard for you to multiply by 1.05, you can always divide by 20 or divide by 10 then by 2 (like the below)

1. 27870÷10= 2,787

2. 2787÷2= 1393.5

3. 27870+1393.5 = 29263.5

solution 2 -Fast but probably needs a calculator

1. 27870*1.05^(5)= 35570

1.05 = monthly increase

power of 5 = ^(5) = 6 months - 1 = 5