What is 85.2 as a fraction

Answer:

14,000+2.1%(0.021)x

Step-by-step explanation:

x is how many years

To minimize the cost of the fence, we need to find the dimensions of the rectangular field that will result in the smallest perimeter. Let's assume the length of the rectangle is x feet.

Since we want to divide the field in half with a fence parallel to one of the sides, the width of the rectangle will also be x feet.

The area of the rectangular field is given as 37.5 million square feet, so we have the equation x * x = 37.5 million.

Simplifying, we find x² = 37.5 million.

To minimize the cost, we need to minimize the perimeter of the rectangular field. The perimeter is given by P = 2x + 2x = 4x.

Using the equation x² = 37.5 million, we can solve for x by taking the square root of both sides. This gives us x = √(37.5 million).

Substituting this value of x into the perimeter equation, we get P = 4 * √(37.5 million).

Therefore, the lengths of the sides of the rectangular field that will minimize the cost of the fence are √(37.5 million) feet and √(37.5 million) feet.

To learn more about perimeter equation click here : brainly.com/question/27996921

#SPJ11

The 90% confidence interval for the difference between the proportions of college graduates and individuals with some college who believe in the theory of evolution is (0.022, 0.220)

The sample size of respondents with some college education is 325, and 133 of them believe in the theory of evolution. The sample size of respondents who were college graduates is 228, and 121 of them believe in the theory of evolution.

Now, the sample proportions are:p1= 133/325 = 0.410p2 = 121/228 = 0.531The point estimate of the difference in proportions is:p1 - p2 = 0.531 - 0.410 = 0.121

To calculate the standard error of the sampling distribution of the difference of two proportions, use the following formula:\($$SE = \sqrt{ \frac{p_1(1-p_1)}{n_1} + \frac{p_2(1-p_2)}{n_2}}$$\)

Substituting the values, we get,\($$SE = \sqrt{ \frac{0.410(1-0.410)}{325} + \frac{0.531(1-0.531)}{228}}$$\)

Solving the above expression, we get,\($$SE = 0.0489$$\)

Using the formula of the confidence interval,\($$\text{Confidence Interval} = \text{point estimate} ± \text{margin of error}$$\)

Substituting the values,\($$\text{Confidence Interval} = 0.121 ± 1.645 \times 0.0489$$\)

Now, solving the above expression, we get the confidence interval as:\($$(0.022, 0.220)$$\)

To know more about confidence interval visit:

https://brainly.com/question/32546207

#SPJ11

The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

Learn more about the quadratic function here:

https://brainly.com/question/29775037.

#SPJ4

"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

Answer:

∠ A = 82°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

A is an exterior angle of the triangle, then

∠ A = 49° + 33° = 82°

Answer: I don't have the capability to create or share images. However, I can provide the step-by-step solution to the problem as text:

To solve this problem, we can use the cosine and sine rules in trigonometry. Let's first draw a diagram to represent the situation:

                        R

                        |

                        |

                        |

              732 km  |

                        |

                        |

                        |

       Q----------------P

a) To find the distance from Q to R, we need to first find the length of the side QR of the triangle PQR. We can do this by using the cosine rule:

cos(QPR) = (QP^2 + QR^2 - PR^2) / (2 * QP * QR)

Since angle QPR is a right angle, we have:

cos(QPR) = 0

Substituting the given values, we get:

0 = (156^2 + QR^2 - 732^2) / (2 * 156 * QR)

Simplifying and solving for QR, we get:

QR = sqrt(732^2 - 156^2) / 2.4 ≈ 269.3 km

Therefore, the distance from Q to R is approximately 269.3 km.

b) To find the total distance flown, we need to add up the distances PQ and QR. We have:

PQ = 156 km (given)

QR ≈ 269.3 km (from part a)

Total distance = PQ + QR ≈ 425.3 km

Therefore, the total distance flown is approximately 425.3 km.

c) To determine the bearing of point R from point Q, we need to find the angle QRS. We can do this by using the sine rule:

sin(QRS) / QR = sin(QRP) / PR

Since angle QRP is a right angle, we have:

sin(QRP) = PQ / PR

Substituting the given values, we get:

sin(QRS) / QR = 156 / 732

Simplifying and solving for sin(QRS), we get:

sin(QRS) = (156 / 732) * QR ≈ 0.203

Using the inverse sine function, we find that:

QRS ≈ 11.75°

Since the plane turned to the right at an angle in excess of 90°, the bearing of point R from point Q is:

Bearing of R from Q = 270° + QRS ≈ 281.75°

Therefore, the bearing of point R from point Q is approximately 281.75°.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The table which matches 4x + 7y = 19 is table (d).

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Given is a linear equation,

4x + 7y = 19

(a) When x = -18,

7y = 19 - (4 × -18) = 91 ⇒ y = 13

When x = 1,

7y = 15 ⇒ y = 2.14

So the table (a) is not the one.

(b) When x = -9, 7y = 55, y = 7.857

Table (b) is also not the one.

(c) When x = 0, y = 2.7

Hence (c) is also not an option.

(d) When x = -18, y = 13

When x = -11, 7y = 63, y = 9

When x = -4, 7y = 35, y = 5

So the correct option is table (d).

Hence the correct option is table (d).

Learn more about Linear Equations here :

https://brainly.com/question/29739212

#SPJ2

Answer:

r = 0.84

Step-by-step explanation:

The mean reading time obtained with the stopwatch measurements was 4.34 ± 0.57 seconds (196.21 ± 21.79 wpm), versus 4.44 ± 0.59 seconds (192.24 ± 22.20 wpm) by computer measurement (r = 0.84).

Answer:

1111111111111111

Step-by-step explanation:

222222222222

The equation for the cosine function is given as;cos(x) = 3 cos(π/2 x) + 5

A cosine function is defined as follows;cos(x) = a cos(b(x - h)) + kwhere a is the amplitude, period is 2π/b, and k is the midline. The amplitude, period, and midline of a cosine function can be used to find its equation.In this case,

we have a cosine function that has a midline of y=5, an amplitude of 3 and a period of 4/π. Thus, the amplitude of the function is given as 3, the midline is given as 5, and the period is 4/π.

The amplitude is the vertical distance from the midline to the highest point on the curve and also to the lowest point on the curve. The period is the distance over which the cosine function completes one full oscillation, or cycle.

In this case, we have a period of 4/π, so we can find b by the formula b = 2π/period = 2π/(4/π) = π/2.To find the phase shift, h, we use the formula h = x₀ - (π/b), where x₀ is the x-coordinate of the maximum or minimum value of the cosine function.

Since the midline is y=5, the maximum value of the cosine function occurs when y=8 and the minimum value occurs when y=2. The maximum and minimum values occur when cos(b(x - h)) = 1 and cos(b(x - h)) = -1, respectively.

Therefore, we have;8 = 5 + 3, cos(b(x - h)) = 1when x - h = 0, so x₀ = h2 = 5 - 3, cos(b(x - h)) = -1when x - h = π/b

Thus, h = 0 for the maximum value, and h = π/2 for the minimum value. We choose the value of h that corresponds to the maximum value of the cosine function, so h = 0.

To learn more about : equation

https://brainly.com/question/17145398

#SPJ8

Answer: y=-2x + 3

Step-by-step explanation:

(0,3)   and (2,-1)

3-(-1)= 4

0-2= -2  

4/-2= -2  so the slope is -2  and we already know the y intercept is 3 because that is when x is 0.

so the equation will    y= -2x + 3

Answer:

Option 3

Step-by-step explanation:

\((-6) \left(\dfrac{-2}{3}+2x \right) = (-6)*\dfrac{-2}{3} + (-6)*2x\\\\\\ = (-2)*(-2) + (-12x)\\\\= 4 - 12x\)

Answer: y=2/9x; x=22.5

Step-by-step explanation:

Float speed is 9 miles/2 hours, or (9/2) miles/hour (mph).

Distance,y = (Speed)*(Time, x)

y = (Speed)x

y = (9/2)x

If x = 5 hours,

y = (9/2)*5, or 22.5

y=2/9x; x=22.5

On the given number line between 18 and 30, 24 should be there and between 30 and 42, 36 should be there.

We need to write the missing number on the number line​.

A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.

On the given number line we can see the numbers 18, 30 and 42, which are multiples of 6.

Between 18 and 30, 24 should be there and between 30 and 42, 36 should be there.

The missing numbers are marked on number line which is given below.

Therefore, on the given number line between 18 and 30, 24 should be there and between 30 and 42, 36 should be there.

To learn more about the number line visit:

https://brainly.com/question/13189025.

#SPJ2

Answer:

86

Step-by-step explanation:

y + 28 + 58 = 180

y + 86 = 180

y = 180 - 86

y = 94

x + y = 180

x + 94 = 180

x = 180 - 94

x = 86

Answer:

A and C

Step-by-step explanation:

This would be the correct answers because they are congruent and dilated from each other

The spring constant of the spring is k = 1.4 × 10⁴ N m⁻¹

Spring Constant is the measure of stiffness of a spring . The greater this constant , the more force will need to be applied to stretch or compress the string.

According to the question,

The mass of safe : m = 800kg

The height of high duty spring is 1.9 m

According to Hooke's law,

The force applied to a compress a string F is equal to the product of the spring constant k and the displacement of the string x

F= kx ------(1)

According to the Newton's law of motion,

The force of of an object F is equal to the product of the object's mass m and its acceleration a ,  which for a falling object is equal to the acceleration due to gravity

G =  9.8 m s⁻²

Therefore , F = ma =mg (using equation 1)

The force of the falling object is equal to the force applied to the spring => mg = kx

=> k = mg/x

substituting the values of m , x and g

=> k = (800)( 9.8) / 0.58

=> k = 1.4 × 10⁴ N m⁻¹

Hence , the spring constant of a spring is k = 1.4 × 10⁴ N m⁻¹

To know more about Spring Constant here

https://brainly.com/question/20388857

#SPJ4

Answer:

1 3/4

Step-by-step explanation:

So 2 1/4= 9/4. 1 1/4=5/4. So 9/4+5/4=14/4, which is 3 2/4. 5 - 3 1/4= 1 3/4. And I think the grammar in this question is wrong. The last sentence says how much will he have left after making BOTH cakes. Im pretty sure its one big delicious cake.

Answer:

A reflex angle is an angle greater than a straight angle and less than a circle. ... Some examples of the measures of reflex angles in degrees are:.

Step-by-step explanation:

hope it helps!

(n-1) x (n-2)! ways of seating arrangements are possible if Fred (a boy) and Carrie (a girl) must be seated next to each other.

A permutation is the act of putting things or numbers in a certain order. Combinations are a method of picking things or numbers from a set of objects or collections without regard for their order.

Let's say there are n seats in total.

Then, there are (n-1) gaps between the seats that Fred and Carrie can be placed in.

If we place Fred and Carrie in one of these gaps, there will be (n-2)! possible arrangements for the rest of the seats.

Therefore, there will be (n-1) x (n-2)! total possible seating arrangements for Fred and Carrie if they must be seated next to each other.

For more questions on Permutations and Combinations

https://brainly.com/question/28065038

#SPJ4

Answer:

r = -10

Step-by-step explanation:

We want to isolate r on one side so we can know what it's equal to. I'll start by subtracting 3 from both sides.

3 + 5r = -47

5r = -50

Now we can divide both sides by 5 to completely isolate our variable.

5r = -50

r = -10

We can go back and check our work by replacing r with -10:

3 + 5(-10) = -47 ?

3 + -50 = -47?

-47 = -47

If you have further questions or need clarification on anything, let me know!

Answer:

-28

Step-by-step explanation:

Since the first number is 10 and they say and the equation said two numbers sum - 18 therefore 10 + x equals to -18

=> 10 + x = -18

now to find the second number collect like terms make x the subject of formula

=> x = -18 -10

substract -18 from -10

x = -28

-28 is your final answer

good luck with your assignment and enjoy

Answer:

7.5

Step-by-step explanation:

because OY is a radius like OX they will have equal length of 4 so OY = 4

Because of the circle theorem that says that tangents meet the the radius of a circle at 90 degrees, angle OYW is 90 degrees so the triangle OYW is a right angle triangle and we can use pythagoras theorem to get WY as:

\(8.5^{2} - 4^{2} = WY^{2} \\\sqrt{WY^{2}}=WY=7.5\)

Answer:

Step-by-step explanation:

Consider the initial value problem y'' + αy' + βy = 0, y(0) = −3, y'(0) = k, where α,β and k are constants. It is known that one of the differential equation is y_1(t) = e^(−4t) and the solution of IVP satisfies lim t→[infinity] y(t) = 10. Determine the constants α,β and k. This is differential equations so please do not respond unless you are able to solve the problem.

(a) The population of interest is the entire student body, which consists of 14,000 students.

(b) The sample in this problem is the group of 200 students who were interviewed to determine their attitude toward the proposed change in the grading system.

(a) The population of interest is the group of individuals that the study aims to make inferences about. In this case, the student senate wants to determine the proportion of all students who favor a change in the grading system. Since the study's goal is to generalize the findings to the entire student body, the population of interest is all 14,000 students.

(b) The sample is the group of individuals who are actually studied in the research. In this case, the sample consists of 200 students who were interviewed to determine their attitudes toward the proposed change in the grading system. The sample is a subset of the population of interest and should be representative of it to make valid inferences.

For more questions like Population click the link below:

https://brainly.com/question/27991860

#SPJ11

Answer:

the first one is 240

the second one is 280

the third one is 200

The answers that would be discarded would be 220, 360 and 500

Step-by-step explanation:

Hey There!

So for this problem all we have to do is plug in the hours worked and drones sold into the expression 10h+40d

For the first one we just plug in 8 for hours (because he worked 8 hours) and 4 for drones ( because he sold 4 drones )

so we would have 10(8) + 40(4)

10x8=80

40x4=160

160+80=240 So 240 would go with the first one

For the second one we plug in 4 for hours ( because he worked 4 hours) and 6 for drones ( because he sold 6 drones)

so we would have 10(4)+40(6)

10x4=40

40x6=240

240+40=280

So 280 would go with the second one

For the third one we plug in 12 for hours ( because he worked 12 hours) and 2 for drones ( because he sold 2 drones)

so we would have

12(10)+2(40)

12x10=120

2x40=80

120+80=200

so 200 would go with the third one

hope this helps :)

If the radius of the bullseye in the dart board is 0.5 cm, then the area of dartboard not including the bullseye is 182.5 cm².

The outer circumference of the dartboard is 48 centimeters, so we can use this to find the radius of the dartboard:

⇒ 48 = 2πr,

Dividing both sides by 2π, we get:

⇒ r = 48/2π ≈ 7.64,

So, radius of the dartboard is 7.64 centimeters.

The area(A) of a circle is = πr²,

where "r" is = radius,

The area of the bull's eye is:

⇒ Area of Bullseye = π × (0.5)²,

⇒ 0.785,

To find the area of the dartboard not including the bull's eye,

We subtract the area of the bull's eye from the area of the whole dartboard:

⇒ Area of dartboard not including bullseye = πr² - (area of bullseye),

⇒ Area of dartboard not including bullseye = 3.14×7.64×7.64 - 0.785,

⇒ Area of dartboard not including bullseye = 183.28 - 0.785,

⇒ Area of dartboard not including bullseye ≈ 182.5,

Therefore, the area of the dartboard not including the bull's eye is approximately 182.5 cm².

Learn more about Area here

https://brainly.com/question/16125353

#SPJ1

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

Learn more about Matlab code  here:

https://brainly.com/question/30763780

#SPJ4

Answer:

the answer to your question is 9.73

Answer:

A

Step-by-step explanation:

Because according to my calculations there are supposed to be 5 digits and for the answers for the question A is the only letter with an answer with 5 digits.

My answer was 9.7325(even though the answers is different they still have the same number of digits) and for A it is 9.7324 which is another 5 digits.

Here is why I got 5 digits.

4.0125

5.7200

_______

When we add these we have to add 0er's to 5.72 because it doesn't have enough digits to add so you add zero's to it.

So 5 +0=5  2 +0=2  1 +2=3  0 +7=7  and for our last number 4 + 5=9 and so our answer is ?

9.7325

and the 9 = 1 digit 7=2 digit 3= 3 digits 2= 4 digits and last 5 = 5 digits.

Hope this helps have a great day:)

The graph of the sequence may pass toward the vertical line test.

Functions are defined as a fundamental part of the calculus in mathematics. These are the special types of relations. A function is visualized as a rule, which gives a unique output for every input x.

Given the information that, he gives two away on day 1, four away on day 2, and eight away on day 3. He continues this pattern for 10 days.

Let x be the number of days and f(x) be the number of cards.

So, the pattern is

f(x)=2, when x=1

f(x)=4, when x=2

f(x)=8, when x=3

Then, the function will be f(x)=2ˣ

The equation of the graph is passing through a vertical line.

The vertical line test is a graphical method that determines whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines.

To learn more about the function:

https://brainly.com/question/8366971

#SPJ4