I need help this is so confusing argggg​

The number of cars that must be made to minimize the unit cost is 300 cars which is determined by differentiation.

Differentiation is a mathematical process that determines the instantaneous rate of change of a function based on one of its variables. The most common example is velocity, which is the rate of change of displacement with respect to time. Anti-differentiation is the inverse of finding a derivative.
Differentiation is used to calculate the rate of change of quantities in real time.

Since, we have been given the cost function to be function \((cx)= 1.1^{2} - 660x+107,357\) then we have to find the first differentiation in order to get the value and this will be:-

\((cx)= 1.1^{2} -660x+107,357\\2.2x=660\\x=\frac{660}{2.2} \\x=300\)

Therefore, the number of cars that must be made to minimize the unit cost is 300 cars.

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Answer:

-72

Step-by-step explanation:

Answer:

-72

Step-by-step explanation:

multiply-12 x3^2 and then add 36

Tim could fill the 18-litre bucket in 22.5 times.

To get the number of times he could fill an 18-litre bucket with the sand from the wheelbarrow, we wil set up proportion using the known information.

The amount of sand that can fill a 12-litre bucket is proportional to the number of times it can fill the bucket.

The proportion will be:

12 litres / 15 times = 18 litres / x times

12x = 15 * 18

12x = 270

x = 270 / 12

x = 22.5.

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The dimensions of the rectangle with the greatest possible area are 2\(\sqrt{(2)}\) by 4.

Let's denote the dimensions of the rectangle as length (L) and width (W). Since the base of the rectangle is on the x-axis, the width of the rectangle is equal to the x-coordinate of the upper corners of the rectangle.

Let's assume that the x-coordinate of the upper corners of the rectangle is x. Then, the width of the rectangle is W = 2x, and the length of the rectangle is L = 6 -\(x^2\).

The area of the rectangle is A = LW = \(2x(6 - x^2) = 12x - 2x^3.\)

To find the maximum area, we need to take the derivative of A with respect to x and set it equal to zero:

\(dA/dx = 12 - 6x^2 = 0\)

Solving for x, we get:

x = ±sqrt(2)

Since we are interested in the dimensions of the rectangle on the parabola, we take the positive value of x.

Therefore, the width of the rectangle is:

W = 2x = 2sqrt(2)

And the length of the rectangle is:

L = 6 - \(x^2\)= 6 - 2 = 4

So the dimensions of the rectangle with the greatest possible area are 2sqrt(2) by 4.

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Answer:

$10,667.66

Step-by-step explanation:

The formula for calculating the compound interest is expressed as:

A = P(1+r/n)^nt

P is the principal = $9000

r is the rate = 3%

time t = 6years

n = 1/4

Substitute

A = 9000(1+0.03/(1/4))^6/4

A = 9000(1+0.03(4))^1.5

A = 9000(1+0.12)^1.5

A = 9000(1.12)^1.5

A = 9000(1.1853)

A = 10,667.67

Hence the amount after 6 years is $10,667.66

When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.

To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.

Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:

\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)

Taking the square root of both sides to find sin(0), we have:

sin(0) = ±√(16/25)

Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:

sin(0) = -√(16/25)

Simplifying further, we get:

sin(0) = -4/5

Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.

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Note the correct and the complete question is

Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4​ ?

Inferential statistics is one of the three basic ways of explaining the results of a research investigation. Group of answer choices Comparing variable quantities Graphing relationships between variables Comparing group percentages Making precise statements about data by correlating the scores of individuals on two variables.

Making precise statements about data by correlating the scores of individuals on two variables is one of the three basic ways of explaining the results of a research investigation.

This is also known as inferential statistics, which involves making predictions or generalizations about a larger population based on sample data.

The other two basic ways of explaining research results are descriptive statistics, which involves summarizing and describing the characteristics of a sample, and graphical representation, which involves using visual aids to display data and relationships between variables.

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Answer:

Yes, you are right.

Step-by-step explanation:

RS  = 20

UT = 20

UT also = x + 10

x = 20 - 10

x = 10

So, yes, you are right.

Hope that helps!

Answer:

lol cut3-dog how-is-your-d4y

Step-by-step explanation:

If the speed and the charge of a particle moving across a magnetic field are each doubled, the deflecting force will be:

d. The deflecting force will be quadrupled.

The deflecting force experienced by a charged particle moving across a magnetic field is given by the equation F = qvBsinθ, where F is the deflecting force, q is the charge of the particle, v is its velocity, B is the magnetic field strength, and θ is the angle between the velocity vector and the magnetic field vector.

If both the speed (v) and charge (q) of the particle are doubled, the deflecting force (F) can be calculated by substituting the new values into the equation:

F' = (2q)(2v)Bsinθ = 4(qvBsinθ) = 4F

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If Armer Brown used and equal number of each bag then there will be 21 bags.

What is algebraic expression?

When we use numbers and words to solve a mathematical problem, we are using algebraic expressions.

Let's say that Armer Brown used x bags holding 20 oranges, y bags holding 10 oranges, and z bags holding 5 oranges. We know that he harvested 245 oranges, so we can write an equation:

20x + 10y + 5z = 245

We also know that he used an equal number of each bag, so we can write another equation:

x = y = z

We can use the second equation to substitute y and z with x:

20x + 10x + 5x = 245

Simplifying this equation, we get:

35x = 245

Dividing both sides by 35, we get:

x = 7

So he used 7 bags holding 20 oranges, 7 bags holding 10 oranges, and 7 bags holding 5 oranges.

In total, he used: 7 + 7 + 7 = 21 bags.

Therefore, There will be 21 bags.

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Answer:

2/5

Step-by-step explanation:

C is at the second tick of 6 segements, so C = 2/6 = 1/3.

If we convert all fractions to /60, you can easily see the answer:

1/3 = 20/60

2/5 = 24/60

1/4 = 15/60

1/5 = 12/60

So we're looking for an answer larger than 20/60, which is only 24/60, a.k.a. 2/5.

Answer:

2 is greater than C on the number line

Step-by-step explanation:

Answer:

6x^2 + 2xy -9y^2 +3y +10

Step-by-step explanation:

yes

Answer:

Check below:

Step-by-step explanation:

To factorize the algebraic expression 3x² + 6x + 4x + 8, you can follow these three steps:

Step 1: Grouping

Group the terms in pairs so that you can factor out a common factor from each pair.

3x² + 6x + 4x + 8

(3x² + 6x) + (4x + 8)

Step 2: Factoring out the common factors

Factor out the common factors from each pair separately.

3x(x + 2) + 4(x + 2)

Step 3: Factoring out the common factor from the resulting expression

Notice that we have a common factor, (x + 2), in both terms.

(x + 2)(3x + 4)

Therefore, the factored form of the expression 3x² + 6x + 4x + 8 is (x + 2)(3x + 4).

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The z score associated with the highest 10% is closest to: option (c) 1.28

-To find the z score associated with the highest 10%, first determine the percentage that corresponds to the lower 90%, since the z score table typically represents the area to the left of the z score.

- Look up the 0.90 (90%) in a standard normal distribution  (z score) table, which will give you the corresponding z score.

-The z score closest to 0.90 in the table is 1.28, which corresponds to the highest 10% of values.

Therefore, the z score associated with the highest 10% is closest to 1.28.

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The points must be true for Point A which is the incenter of triangle DEF are 1> Point A is the center of the circle that passes through points X, Y, and Z. 2>Line segment A X is-congruent-to line segment A Y . 3> Point A is always inside triangle DEF .

The incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle. This point is equidistant from the sides of a triangle, as the central axis's junction point is the center point of the triangle's inscribed circle. The incenter of a triangle is also known as the center of a triangle's circle since the largest circle could fit inside a triangle. The circle that is inscribed in a triangle is called an incircle of a triangle.

According to the question

Point A is the incenter of triangle DEF .

Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z.  (X,Y,Z are points on middle of sides )

Now,

According to the properties of  incenter of the triangle  

1.> The circle that is inscribed in a triangle is called an incircle of a triangle.  

i.e

Point A is the center of the circle that passes through points X, Y, and Z.

2> The incenter of a triangle is equidistant from the sides of a triangle, as the central axis's junction point is the center point of the triangle's inscribed circle.  

i.e

Line segment A X is-congruent-to line segment A Y .

3> A triangle's incenter always lies inside the triangle.

i.e

Point A is always inside triangle DEF .

Hence, The points must be true for Point A which is the incenter of triangle DEF are 1> Point A is the center of the circle that passes through points X, Y, and Z. 2>Line segment A X is-congruent-to line segment A Y . 3> Point A is always inside triangle DEF .

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Answer:

0.25%

Step-by-step explanation:

$24 is 75% of $32, meaning that it decreased by 0.25%

I hope this helped!

Stay safe! <3

Answer:

  $5535.00

Step-by-step explanation:

You want the cost to produce 10 more units if 8 are being produced and the marginal cost function is c'(x) = 0.375x² -x +500.

The cost is the integral of the marginal cost. If we want 10 more units than the 8 being produced, the total cost for those units will be the definite integral of the marginal cost function from 8 to (8+10) = 18.

The attachment shows that integral to have a value of 5535.

The cost to produce 10 more units is $5535.00.

__

Additional comment

Many graphing calculators can do the numerical integration for you. The integral of the function is ...

  C(x) = x³/8 -x²/2 +500x

The cost of interest is C(18) -C(8).

Answer:

b?

Step-by-step explanation:

The quotient of the division problem is (x + 1)/(x +2). The result is obtained by determining the factors of the two quadratic equations.

The quadratic equation can be expressed as

ax² + bx + c = 0

Where c is a constant.

To find the factors of a quadratic equation, follow these steps!

Find the quotient of (x² + 2x + 1)/(x² + 3x + 2) = 0!

For quadratic equation x² + 2x + 1:

The common factors: (x + 1)(x + 1)

For quadratic equation x² + 3x + 2:

The common factors: (x + 2)(x + 1)

The quotient of the quadratic equations is

(x² + 2x + 1)/(x² + 3x + 2) = 0

(x + 1)(x + 1)/(x + 2)(x + 1) = 0

(x + 1)/(x + 2) = 0

Hence, the quotient of the quadratic equations is (x + 1)/(x + 2) = 0.

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The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.

Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.

In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.

This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.

However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.

As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.

As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.

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Answer:

-67>-76

|-24|<|-42|

|45|<|-54|

Step-by-step explanation:

The first question is easy, when you're comparing negatives, the number that looks lower is actually greater. The second and third ones are a bit trickier. This --> || means the opposite of. Like |5| means -5. so just swap the numbers around and you have your answer.

Answer:

A = 180 and 160.

B = 180, 45 and 45.

C = 180 and 45.

D = 180 and 164.

E = 180 and 250.

F = 180 and 55.

Answer:

40x-100/4

-15x+6

Step-by-step explanation:

9514 1404 393

Answer:

  1) 5.25

  2) 95.74°

Step-by-step explanation:

1) The angle bisector divides the triangle into proportional segments.

  DC/BD = CA/BA

We know that BD+DC = 9, so we can fill in the above equation with known values to get ...

  DC/(9-DC) = 7/5

  5·DC = 7(9 -DC) . . . . cross multiply

  12·DC = 63 . . . . . add 7·DC

  DC = 63/12 = 5.25

__

2) Angle BAC can be found using the Law of Cosines.

  a² = b² +c² -2bc·cos(A)

  cos(A) = (b² +c² -a²)/(2bc) = (7² +5² -9²)/(2·7·5) = -7/(70) = -1/10

  A = arccos(-1/10) ≈ 95.739°

The measure of ∠BAC is about 95.74°.

_____

Additional comment

The circumcircle is irrelevant to the questions asked here.

Answer:you have to subtract first and then add the 2.50 and that’s your answer

Step-by-step explanation:

If the probability of having a defect is 20%, then the probability that there is no defect is 0.8 or 80%.

The probability that there is no defect can be calculated by subtracting the probability of having a defect from 1. Since the probability of having a defect is 20%, the probability of no defect is:

1 - 0.20 = 0.80

Therefore, the probability that there is no defect is 80%.

In probability theory, the complement rule states that the probability of an event occurring is equal to 1 minus the probability of its complement. In this case, the event of interest is having no defect, and its complement is having a defect.

If the probability of having a defect is 20%, it means that out of every 100 cases, 20 cases would have a defect. Hence, the remaining 80 cases would not have a defect. This means that the probability of no defect is 80% or 0.80.

By subtracting the probability of having a defect (20%) from 1, we obtain the probability of no defect (80%). This is because the sum of the probabilities of mutually exclusive events must be equal to 1. Therefore, the probability that there is no defect is 80%.

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Adam's credit card uses the adjusted balance method and has a 30-day billing cycle. Given his credit card activity over three months and an APR of 14.63%, we need to determine Adam's balance at the end of June.

To calculate Adam's balance at the end of June, we need to consider his credit card activity and apply the adjusted balance method. The adjusted balance method takes into account the beginning balance, transactions during the billing cycle, and payments made.

Let's calculate Adam's balance step by step:

1. April:

  - Beginning balance: $626.45

  - Purchases: $37.41 and $44.50

  - Ending balance: $626.45 + $37.41 + $44.50 = $708.36

2. May:

  - Payments: $65.50 and $104.77

  - Purchases: $24.89

  - Ending balance: $708.36 - $65.50 - $104.77 + $24.89 = $563.98

3. June:

  - Payments: $23.60

  - Purchases: $15.00 and $51.85

  - Ending balance: $563.98 - $23.60 + $15.00 + $51.85 = $607.23

To calculate the finance charges, we need to multiply the average daily balance by the daily periodic rate. The daily periodic rate can be calculated by dividing the APR by 365.

Average daily balance = (Beginning balance + Ending balance) / 2

                   = ($626.45 + $607.23) / 2

                   = $616.84

Daily periodic rate = 14.63% / 365 = 0.0004016

Finance charges = Average daily balance * Daily periodic rate * Billing cycle

               = $616.84 * 0.0004016 * 30

               = $7.41 (rounded to the nearest cent)

Finally, to find Adam's balance at the end of June, we add the finance charges to the ending balance:

Balance at the end of June = Ending balance + Finance charges

                         = $607.23 + $7.41

                         = $614.64

Therefore, Adam's balance at the end of June is approximately $614.64, which is not one of the options provided.

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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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