-7/8 is at most the difference of twice a number m and 5/4

The production level (that is, the value of x ) that will produce the minimum average cost per unit is

C(x) = (0.003x^3 + 5x + 10,895) / x

x^2 ≈ -555.56

To find the production level that will produce the minimum average cost per unit, we need to minimize the average cost function, which is given by:

C(x) = c(x) / x

Where C(x) is the cost function. Let's calculate the average cost function and then find its minimum.

C(x) = (0.003x^3 + 5x + 10,895) / x

To find the minimum, we need to differentiate C(x) with respect to x and set the derivative equal to zero. Let's do that:

dC(x) / dx = (d/dx)(0.003x^3 + 5x + 10,895) / x

           = (0.009x^2 + 5) / x

Setting the derivative equal to zero:

(0.009x^2 + 5) / x = 0

0.009x^2 + 5 = 0

0.009x^2 = -5

x^2 = -5 / 0.009

x^2 ≈ -555.56

Since we can't have a negative production level, we can conclude that there is no real solution for x. Therefore, the production level that produces the minimum average cost per unit is not defined in this case.

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Answer:

For example, with a $4,000 deposit and an annual interest rate of 8 percent, the simple interest after four years would be $1,280. This is calculated by multiplying the principal (P) by the rate (R) and by the rate of time (T): 4,000 x 0.08 x 4 = 1,280.

Step-by-step explanation:

I hope the answer help you

Answer:

\(A=830\ ft^2\)

Step-by-step explanation:

Given that,

The length of one base is 37 feet, and the length of the other base is 46 feet. The height is 20 feet.

We need to find the area of this section of the deck that is shaped like a trapezoid.

The area of a trapezium is given by :

\(A=\dfrac{a+b}{2}\times h\)

a = 37 ft, b = 46 ft and h = 20 ft

Put all the values,

\(A=\dfrac{37+46}{2}\times 20\\\\A=830\ ft^2\)

So, the area of this section of the deck is equal to \(830\ ft^2\).

Answer:

15.87%

Step-by-step explanation:

We start with getting the z score

Mathematically , we have this as;

z-score = (x-mean)/SD

where x = 114

z-score = (114-100)/14 = 14/14 = 1

So we want to calculate the probability values that are greater than 1

We can use the standard normal distribution table

so we have P(z> 1) = 0.15866

in percentage, we multiply by 100 and that gives 15.866 which is 15.87 people

The plane EFG  in the rectangular prism is parallel to plane ABC.

In this question, we have been given the rectangular prism ABCDEFGH

We need to find the plane which is parallel to plane ABC.

We can observe that in given rectangular prism,

plane ABH is parallel to the plane CDF

plane BCE is parallel to the plane AGF

plane EFG is parallel to plane ABC.

Therefore, the plane EFG  in the rectangular prism is parallel to plane ABC.

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The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is 9980

The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is calculated by summing the area of each subinterval under the midpoint of the interval.

The formula for the midpoint Riemann sum is given by:

Sum = (width of interval) * (height of midpoint)

For this problem, since the width of each interval is 16/4 = 4, the midpoint Riemann sum is calculated by:

Sum = 4 * (1 + (16/4)^3 + (32/4)^3 + (48/4)^3)

Substituting the values for each midpoint, we get the following equation:

Sum = 4 * (1 + 4^3 + 8^3 + 12^3)

This simplifies to:

Sum = 4 * (1 + 64 + 512 + 1728)

Therefore, the midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is:

Sum = 4 * (2495)

Sum = 9980

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Note that the curve is symmetric about the x and y axes, and it intersects the x-axis at x = -sqrt(13/4) and x = sqrt(13/4), and the y-axis at y = -sqrt(13/9) and y = sqrt(13/9) using parametric equation.

The vector-valued function is given by r(t) = (2 sin(t), 3 cos(t)).

To eliminate the parameter t, we can use the trigonometric identity sin^2(t) + cos^2(t) = 1. Solving for sin(t) and cos(t), we get:

sin(t) = sqrt(1 - cos^2(t))

cos(t) = sqrt(1 - sin^2(t))

Substituting these expressions into the definition of r(t), we get:

r(t) = (2 sqrt(1 - cos^2(t)), 3 sqrt(1 - sin^2(t)))

Squaring both sides of these equations, we get:

4 - 4 cos^2(t) + 9 sin^2(t) = 4 x^2

9 cos^2(t) - 9 sin^2(t) + 4 = 9 y^2

Adding these equations together, we get:

4 x^2 + 9 y^2 = 13

This is the equation of an ellipse centered at the origin with semi-major axis sqrt(13/4) along the x-axis and semi-minor axis sqrt(13/9) along the y-axis.

To sketch the graph of r(t), we can plot points for various values of t and connect them to form the curve. Since x = 2 sin(t) and y = 3 cos(t), we can see that the curve starts at (0,3) when t = 0 and moves counterclockwise around the ellipse. The orientation of the curve is shown in the sketch below:

  y

  |

3  |    *  

  |  /   \

  | /     \

  |/       \

  +---------\------\

 -2           2     x

The asterisk (*) represents the starting point of the curve when t = 0, and the arrows indicate the direction in which the curve moves as t increases.

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Answer: 452.16

Step-by-step explanation:

area of circle= πr² where r is the radius

the value of the radius is squared and multiplied by pi, i.e.. 3.14.

Answer: 6

Step-by-step explanation:

Answer:

\(9 + 4x = - 5 \\ 4x = - 5 - 9 \\ 4x = - 14 \\ x = \frac{ - 14}{4} \\ x = \frac{7}{4} \\ x = 1.75 \)

Step-by-step explanation:

please mark me brainliest

Answer:

The answer is x=2

Step-by-step explanation:

8(4-x)=7x+2

32-8x=7x+2

-8x+32=7x+2

8x+32-7x=7x+2-7x

-15x+32=2

-15x+32-32=2-32

-15x=-30

-15x/-15=-30/-15

x=2

Answer:

2

Step-by-step explanation:

First, do the distributive property: 32-8x =7x+2

Next, get the variable to one side: 32-8x(-7x)=7x(-7x)+2

Then, subtract 32 from both sides to isolate the variable: -15x+32(-32)=2(-32)

Finally, we divide -30 by -15 : -15x= -30  

x= 2

Answer:

Step-by-step explanation:

The cars travel in opposite directions from the same point.

Each hour they travel:

After x hours they will be 425 miles apart:

combined speed

Time be t

Speed=Distance/Time

Answer:

x = 1 , y = 2

Step-by-step explanation:

Solve for substitution

Answer:

60

Step-by-step explanation:

I took the test, used the girl below's answer and failed :) that is the correct answer <3 gl

By the 1/3 ratio, the value of x for the given figure is 33 units.

A ratio is an ordered pair of integers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other. For example, if there is one boy and three girls, the ratio may be written as: 1: 3 (for every one boy, there are three girls). A ratio in mathematics illustrates how many times one number contains another. For example, if a dish of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).

Here,

4/12=3/x1=5/x2

1/3=3/x1

x1=9 units

1/3=5/x2

x2=15 units

12+15+9=33 units

The value of x for the given figure is 33 units by the ratio of 1/3.

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Answer:

j(x) is an odd function

Step-by-step explanation:

We are given;

j(x) = 220/x³ and j(-x) = 220/(-x)³

Now,

when x = 1;

j(x) = 220/1³ = 220/1 = 220

j(-x) = 220/(-1)³ = 220/-1 = -220

When x = 2;

j(2) = 220/2³ = 220/8

j(-2) = 220/(-2)³ = -220/8

Now, Algebraically, function j would be even if and only if j(-x) = j(x) for all x in the domain of j. While j is odd if and only if j(-x) = -j(x) for all x in the domain of j.

From the values gotten, we can see that :j(-x) = -j(x). Thus, we can say that j(x) is an odd function.

Answer:

A) j(x) is an odd function.

Step-by-step explanation:

Answer:

The answer would be 3.2222 and it will continue to repeat forever.  The difference between 20 and the product is always 2 and therefore when you add the 0 to it to make it to 20 it will go in 2 times and cause it to be 20 again.  Therefore never stop the cycle.

Step-by-step explanation:

If speed is important and the array is large, the a. Binary search algorithm should be used. This algorithm is designed to efficiently search through sorted arrays by repeatedly dividing the search interval in half.

It has a time complexity of O(log n), which means that as the size of the array increases, the time it takes to search for an item will not increase at the same rate.
On the other hand, ascending bubble sort and other sorting algorithms such as selection sort and insertion sort have a time complexity of O(n^2), which means that as the size of the array increases, the time it takes to sort the array will increase exponentially. Therefore, these algorithms are not efficient for large arrays and should not be used if speed is important.
In summary, when dealing with large arrays and speed is important, binary search is the best algorithm to use for searching, while ascending bubble sort and other sorting algorithms with a time complexity of O(n^2) should be avoided.

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Answer:

14

Step-by-step explanation:

35-7 is 28. 28 divided by 2 is 14.

Answer:

if you look at the graph and follow up from 5 weeks it almost hits the point 6 inches so you would say six inches the answer is 6 inches

Step-by-step explanation:

The best prediction of the height of the plant at 5 weeks is 6 inches, the correct option is C.

Graph is a mathematical representation of relation between two objects.

The graph shows the comparison of the plant height to the age of the plant, in weeks.

The x axis has number of weeks.

The y axis has height in inches.

The regression equation that represent the graph is

y = 1.3x - 0.8

A regression equation is used to find the relation between the data, if there exists.

The regression equation is of the form Y = a+bX, Y is the dependent variable and X is the independent variable.

The prediction of the height of the plant at 5 weeks has to be done.

On observing the graph and drawing a straight line at x = 5 on the graph,  the point at which it intersects is y ≈ 6 inches.

Your question seems incomplete, the complete question is attached with the answer.

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In this context, a type I error would occur if the null hypothesis was rejected when it is actually true, meaning that the patient does not have the disease but is diagnosed with it.

This would be a false positive result. It is important to note that a type I error is related to the level of significance chosen for the hypothesis test, and it represents the probability of rejecting the null hypothesis when it is true.

In this case, if the level of significance was set at 0.05, for example, there would be a 5% chance of making a type I error. It is also important to consider the consequences of making a type I error in a medical context, as it could lead to unnecessary treatments or interventions that could harm the patient.

Therefore, it is crucial to carefully design hypothesis tests and choose appropriate levels of significance to minimize the risk of making such errors.

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Answer:

hello your question is incomplete attached below is the complete question

answer : 2

Step-by-step explanation:

Area of rectangle = \((\frac{b}{h}) (\frac{h}{2})\)

Area of triangle = \(\frac{1}{2}bh\)

therefore the ratio of the area of the triangle to the area of the rectangle

=  \(\frac{\frac{1}{2} bh}{\frac{b}{2}*\frac{h}{2} }\)  =  2

Answer:

76 rows

Step-by-step explanation:

    \(\text{Number of rows = $\sqrt{5776}$}\)

                               = 76

Step-by-step explanation:

Tn = a + (n-1)d

where a is the first term, d is the common difference and n is the nth term

For the 6th term: T6 = a + (6-1)d

= a + 5d

For the 8th term: T8 = a + (8-1)d

= a + 7d

From the question (a + 5d)/(a + 7d) = 7/9

From the Equation above, we can say that;

a + 5d = 7......1

a + 7d = 9.....2

Solving equations 1 & 2 simultaneously, we have that a = 2 and d = 1

Sn = n/2[2a + (n-1)d]

where Sn is the sum of nth terms, n is the nth term, a is the first term and d is the common difference.

By substituting the values gotten into this equation. You would be able to find the ration between the sum of the first 10 terms to the sum of the first 20 terms

Answer:

see analysis for detailed explanation

Answer:

(405x ^ 7)²

405²x^14

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

Step-by-step explanation:

The magnitude of the resultant force upon the piling is 3710 pounds.

To find the resultant force, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the forces exerted by the bulldozers form the two sides of a right triangle.

The force exerted by the first bulldozer in the westerly direction is 1850 pounds, and the force exerted by the second bulldozer in the northerly direction is 3250 pounds.

Using the Pythagorean theorem, we can calculate the magnitude of the resultant force as follows:

Resultant force =\(√(1850^2 + 3250^2)= √(3422500 + 10562500)= √(13985000)≈ 3710 pounds.\)

Therefore, the magnitude of the resultant force upon the piling is approximately 3710 pounds.

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Factoring the sum or difference of cubes involves using specific formulas to simplify expressions.

The sum of cubes formula, a^3 + b^3 = (a + b)(a^2 - ab + b^2), and the difference of cubes formula, a^3 - b^3 = (a - b)(a^2 + ab + b^2), allow us to break down these expressions into more manageable factors.

To factor the sum or difference of cubes, you can use the following formulas:

Sum of Cubes: a^3 + b^3 = (a + b)(a^2 - ab + b^2)

Cube difference: (a - b)(a - b)(a - b)(a - b)(a - b)

Sum of Cubes:

The sum of cubes formula states that the sum of two cubes, a^3 + b^3, can be factored into (a + b) multiplied by the quadratic expression a^2 - ab + b^2.

For example, let's factorize 8x^3 + 27:

We can identify a = 2x and b = 3, so using the sum of cubes formula:

8x^3 + 27 = (2x + 3)(4x^2 - 6x + 9)

Difference of Cubes:

The difference of cubes formula states that the difference between two cubes, a^3 - b^3, can be factored into (a - b) multiplied by the quadratic expression a^2 + ab + b^2.

For example, let's factorize 64y^3 - 125:

We can identify a = 4y and b = 5, so using the difference of cubes formula:

64y^3 - 125 = (4y - 5)(16y^2 + 20y + 25)

Factoring the sum or difference of cubes involves using specific formulas to simplify expressions. The sum of cubes formula, a^3 + b^3 = (a + b)(a^2 - ab + b^2), and the difference of cubes formula, a^3 - b^3 = (a - b)(a^2 + ab + b^2), allow us to break down these expressions into more manageable factors. Factoring such expressions can be useful in various algebraic calculations and simplifications.

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Answer:

90°

Step-by-step explanation:

360÷4=90°

Each is 90°