You are traveling on the freeway at 75.00 miles per hour. How long will it take you to travel 385.00 kilometers?

a) The firm’s long-run total, average, and marginal cost functions is:

C = wl + vk = (0.1w + 0.2v)q

AC = C/q = 0.1w + 0.2v

MC = dC/dq = 0.1w + 0.2v

b) The firm’s short-run total, average, and marginal cost functions:

C = wl + 10v = 0.1wq + 10v

AC = C/q = 0.1w + 10v/q

MC = dC/dq = 0.1w

c) This firm’s long-run and short-run average and marginal cost curves.

Long run cost:

AC = 0.3 + 0.2 = 0.5

MC = 0.3 + 0.2 = 0.5

Short run:

AC = 0.3 + 10/q

MC = 0.3

Cost function shows the relationship between the cost of production and the level of output. In the short run a portion of the total cost is fixed but, in the long run, all cost are variable. Average cost equals the cost per unit (i.e., total cost divided by output) and the marginal cost equals the change in cost per unit change in output.

The producer used k and l such that 5k = 10l

The output q, then, is

q = 5k = 10l

i.e., k = 1/5q = 0.2q and l = 1/10q = 0.1q

Long run cost:

C = wl + vk = (0.1w + 0.2v)q

AC = C/q = 0.1w + 0.2v

MC = dC/dq = 0.1w + 0.2v

b) Suppose that k is fixed at 10 in the short run. Calculate the firm's short-run total, average and marginal cost functions.

b) K= 10,

Short run cost:

C = wl + 10v = 0.1wq + 10v

AC = C/q = 0.1w + 10v/q

MC = dC/dq = 0.1w

c) Long run cost:

AC = 0.3 + 0.2 = 0.5

MC = 0.3 + 0.2 = 0.5

Short run:

AC = 0.3 + 10/q

MC = 0.3

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Answer:

100-500

Step-by-step explanation:

Both sides of a triangle cannot be shorter than the remaining side.  Thus, the side must be less than 500 units.  With the same rule, the side must be greater or equal to 100 units, as if it was less, then 200 + 99 < 300.

The compound inequality for the range of the possible lengths for the third side will be 100- 500.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The meaning of inequality is to say that two things are NOT equal. One of the things may be less than, greater than, less than or equal to, or greater than or equal to the other things.

Given:

side lengths of 200 units and 300 units.

The largest value of the third side will be

200+300=500

and, the smallest value will be

300-200=100

Hence, 100<X<500

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Answer:

Bot 4

Step-by-step explanation:

Here is one way

rate of bot 3    36 /5         in ten seconds    36/5 *10 = 72 clks

rate of bot4     26/3          in ten seconds    26/3 * 10 = ~ 87 clks

We are told that there are the names of 12 girls and 14 boys in a hat. we are asked about the probability of drawing the name of a boy. To do that, we need to divide the number of boy's names over the total amount of names in the bag, like this:

Therefore, the probability is 0.538 or 53.8%

The geometric power series for the function f(x) = 1 / (9 + x), centered at 0, using long division is (9 - x) / ((9 + x) * (9 - x)).

To find a geometric power series for the function f(x) = 1 / (9 + x) using long division, we can start by expanding the function into a fraction:

f(x) = 1 / (9 + x)

To begin the long division process, we divide 1 by 9 + x:

1 ÷ (9 + x)

To simplify the division, we can multiply the numerator and denominator by the conjugate of the denominator:

1 * (9 - x) / ((9 + x) * (9 - x))

Simplifying further:

(9 - x) / (81 - x^2)

Now, we have expressed the function f(x) as a fraction with a simplified denominator. To find the geometric power series, we can rewrite the denominator using the concept of a geometric series:

(9 - x) / (81 - x^2) = (9 - x) / (9^2 - x^2)

We can see that the denominator is now in the form a^2 - b^2, which can be factored as (a + b)(a - b). In this case, a = 9 and b = x:

(9 - x) / (9^2 - x^2) = (9 - x) / ((9 + x)(9 - x))

Now, we can express the function f(x) as a geometric power series:

f(x) = (9 - x) / ((9 + x)(9 - x))

f(x) = 1 / (9 + x) = (9 - x) / ((9 + x)(9 - x))

f(x) = (9 - x) / (9^2 - x^2) = (9 - x) / ((9 + x)(9 - x))

f(x) = (9 - x) / ((9 + x) * (9 - x))

f(x) = 1 / (9 + x) = (9 - x) / ((9 + x) * (9 - x))

The geometric power series for the function f(x) centered at 0 is given by (9 - x) / ((9 + x) * (9 - x)).

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Answer:

A is the answer

Step-by-step explanation:

The length of the hypotenuse is 13 cm.

Let's denote the shorter leg of the right triangle as "x" cm.

According to the given information, the longer leg is 7 cm more than the shorter leg, so its length is "x + 7" cm.

The hypotenuse is 3 cm more than twice the length of the shorter leg, so its length is "2x + 3" cm.

Using the Pythagorean theorem, we can set up the equation:

(shorter leg)^2 + (longer leg)^2 = (hypotenuse)^2

Plugging in the values:

x^2 + (x + 7)^2 = (2x + 3)^2

Expanding and simplifying:

x^2 + x^2 + 14x + 49 = 4x^2 + 12x + 9

Rearranging and simplifying further:

0 = 2x^2 - 2x - 40

Dividing both sides by 2:

x^2 - x - 20 = 0

Factoring the quadratic equation:

(x - 5)(x + 4) = 0

Setting each factor equal to zero:

x - 5 = 0 or x + 4 = 0

Solving for x:

x = 5 or x = -4

Since the length of a side cannot be negative, we discard the solution x = -4.

Therefore, the shorter leg of the right triangle is 5 cm.

To find the length of the hypotenuse, we substitute the value of x into the equation for the hypotenuse:

hypotenuse = 2x + 3 = 2(5) + 3 = 10 + 3 = 13 cm

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Answer:

63 miles/1.4 hours = 45 mph

(55 mph)(4 hours) = 220 miles

Answer: To determine if f(x) is one-to-one, you can use the horizontal line test. If every horizontal line intersects the graph of f(x) at most once, then f(x) is one-to-one.

Step-by-step explanation:

The standard form of an equation of a circle is,

Where

(h, k) is the center

r is the radius

The first equation is that of a circle.

Now,

The second equation is,

This is an equation of a parabola (quadratic).

When a circle and parabola intersect (solution point), there can be maximum 4 solutions, or 4 intersecting points.

The graphs of the two equations are shown:

The system of linear equation that represent this problem is

6x + 10y = 900

10x + 4y = 1220

Let's represent the number of CDs Roberto bought as x and the number of magazines as y

The problem states the following information:

Using the variables;  x and y as given;

1. Roberto bought 6 CDs and 10 magazines for $900.00 pesos. This can be represented as the equation:

  6x + 10y = 900

2. María bought 10 CDs and 4 magazines for $1,220.00 pesos. This can be represented as the equation:

  10x + 4y = 1220

So, the system of equations representing the problem is:

6x + 10y = 900

10x + 4y = 1220

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Translation: Roberto bought 6 cd's and 10 magazines for $900.00 pesos; In the same store, her friend María bought 10 CDs and 4

magazines at $1,220.00 pesos. What is the system of equations with two unknowns that represents the problem?

Answer:

1. 1.3

2. 2.12

Step-by-step explanation:

Answer:

1. is 1 3/8

2. is 2 12/16 or 3/4

please mark brainliest

Step-by-step explanation:

Answer:

15.04

Step-by-step explanation:

7.77−1.66x+16.7x

Combine −1.66x and 16.7x to get 15.04x.

d/dx (7.77+15.04x)

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^n is nax^n-1.

15.04x^1-1

Subtract 1 from 1.

15.04x ^0

For any term t except 0, t ^0 =1.

15.04×1

For any term t, t×1=t and 1t=t.

and that leaves us with 15.04 as your answer

hopes this helps

Answer:

16537.5

Step-by-step explanation:

4.5% of 13500 = 607.5

607.5 x 5 = 3037.5

3037.5 + 13500 = 16537.5

฿₤₦

If DC = 10, the measure of DB is 20 units.

An equation to solve for x is 5x + 12 = 8x.

The measure of x is 4.

The measure of ∠BAC is 60°.

The measure of ∠B is 30°.

In Mathematics and Geometry, a perpendicular bisector is a line that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

Therefore, the measure of DB can be calculated as follows;

DB = 2DC

DB = 2(10)

DB = 20 units.

Since the perpendicular bisector of DB is AC, an equation to solve for x is as follows;

5x + 12 = 8x

3x = 12

x = 12/3 = 4.

Since ∠D is congruent to ∠ABC, the measure of ∠BAC can be calculated as follows;

∠ABC + ∠BAC = 90° (complementary angles).

30° + ∠BAC = 90°

∠BAC = 90° - 30°

∠BAC = 60°

Similarly, ∠D is congruent to ∠B;

∠D ≅ ∠B = 30°.

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Answer:

See below.

Step-by-step explanation:

The equation is this

A= 1/2bh

We plug in the equation and we get this

A= 1/2 (14)(24)

Let's do the math.

A= 1/2 (336)

A= 168

That's your answer. ✌️

I hope this helps!

Answer: Around 584 people would have to get a haircut at 30$, if you are looking for 17,510$

Step-by-step explanation:

Answer:

y= -4-x divided by 2

Step-by-step explanation:

Isolate the varible your trying to solve, make sure what you do on one side of the equation, you do to the other.

Answer:

-4

Step-by-step explanation:

i think it is but maybe

Answer: 100

Step-by-step explanation:

Because 88.9% of the data falls between approximately 47.62 and Blank.

Answer:

x = 136°

Step-by-step explanation:

We can use a theorem to help us.

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

For exterior angle x, the remote interior angles are z and <CBD.

From the theorem, we get this equation.

x = z + m<CBD

We know z = 52°.

We need to find m<CBD.

Angles CBD and y are a linear pair. They are supplementary, so the sum of their measures is 180°. We are given y = 96°.

m<CBD + y = 180°

m<CBD + 96° = 180°

m<CBD = 84°

x = z + m<CBD

x = 52° + 84°

x = 136°

Answer:

x = 136°

Step-by-step explanation:

∠ABD = y = 96°, ∠ABD + ∠DBC must be equal to 180° because they form a straight angle.

\(y + B = 180\\96 + B = 180\\B = 180 - 96 = 84\)

∠BDC = z = 52° and ∠DBC = B = 84.

Angles ∠BDC, ∠DBC, and ∠BCD must have a sum of 180° because the sum of the interior angles in a triangle is 180°.

\(180=(180 - y) + 52 + C\\180=(180 - 96) + 52 + C\\180 - (52 + 84) = C\\C = 44\)

The interior angle at C is 44. Line DCE forms a straight line, therefore having an angle of 180°. To find x, the sum of x and interior angle C is 180°.

\(180 = C + x\\180 = 44 + x\\x = 180-44\\x = 136\\\)

Angle ∠BCE = x = 136.

The decay Σ+→Λ0+�+Σ+→Λ0+π+is allowed based on conservation laws and rules.

Here's the reasoning:

Conservation of charge: The total charge on the left-hand side (Σ+Σ+) is +1, and on the right-hand side (Λ0+�+Λ0+π+) is also +1. Therefore, the decay is consistent with the conservation of charge.

Conservation of baryon number: The total baryon number on the left-hand side is +1 (since Σ+Σ+has baryon number +1), and on the right-hand side, the sum of the baryon numbers ofΛ0Λ0and�+π+is also +1.

Hence, baryon number is conserved in this decay.

Conservation of strangeness: The strangeness quantum number is conserved separately for each particle in the decay. The strangeness of

Σ+Σ+is 0, whileΛ0Λ0has strangeness -1 and�+π+has strangeness 0. The sum of the strangeness values on the right-hand side is -1 + 0 = -1, which matches the strangeness of the Σ+Σ+on the left-hand side. Therefore, strangeness is also conserved.

Based on the conservation laws of charge, baryon number, and strangeness, we can conclude that the decay

Σ+→Λ0+�+Σ+→Λ0+π+is allowed.

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Answer:

V = 72 ft³

Step-by-step explanation:

V = (3 x 8 x 2) + (4 x 2 x 3) = 72 ft³

Answer:

Try 1,152

Step-by-step explanation:

I think you have to multiply all the numbers and get 1,152. I'm not that good at math but.

The last two rows of the table should be completed as follows:

Input   Output

8       22.80

10      28.50

An algebraic expression is a mathematical phrase that contains numbers, variables, and operations. It is used to represent a single quantity or value, and can be written in terms of one or more variables.

The rule given is an algebraic expression, x, which is the input, multiplied by 2.85, which is the output. Using this information, we can determine the cost of 10 muffins.

To find the cost of 10 muffins, we can use the algebraic expression given. First, we will multiply 10, the number of muffins, by 2.85, the cost of one muffin. This gives us a total of 28.50. Therefore, the cost of 10 muffins is 28.50.

Using this same rule and process, we can also determine the cost of any number of muffins. For example, if we want to know the cost of 15 muffins, we can simply multiply 15 by 2.85, giving us a total of 42.75.

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The parallels between finding instantaneous velocity and finding the slope of the tangent line lie in their conceptual similarity as both involve determining rates of change at specific points in time or on a graph.

The process of finding the instantaneous velocity of an object at a particular point in time and finding the slope of the tangent line to a graph at a specific point share fundamental similarities. Both involve calculating rates of change. Instantaneous velocity measures the rate of change of displacement with respect to time at a specific moment. Similarly, the slope of the tangent line to a function at a point measures the rate of change of the function with respect to the independent variable at that point.

In both cases, the focus is on a precise point rather than an average rate of change over an interval. By examining infinitesimally small intervals, these approaches capture the behavior of the object or function at an exact instant or point, providing insight into their dynamics or characteristics.

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The probability that Maria wins the challenge is 0.384.

The probability that Maria will win the challenge is 0.384. This can be calculated using the binomial theorem. The binomial theorem states that the probability of success (or winning) in a series of independent events is the number of successes in the series divided by the total number of events. In this case, the probability of Maria winning a game when she moves first is 0.6 and the probability of her winning when Sophie moves first is 0.3. Therefore, the probability of Maria winning two games in a row is 0.6 x 0.6 x 0.3 x 0.3 = 0.384. This means that Maria has a 38.4% chance of winning the challenge.

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The correct option is A) 5 – 1 ≠ 1 – 5  shows why the commutative property doesn't work under subtraction

The commutative property works for addition and multiplication. It says that when adding or multiplying, you can switch the order of the numbers around and still get the same answer.

For instance, in simple terms, the commutative property of addition states that changing the order of the addends will not change the sum. That is, a + b = b + a.

Similarly, the commutative property of multiplication states that changing the order of the factors will not change the product. That is, a × b = b × a.

However, the commutative property does not work for subtraction and division. You cannot change the order of numbers around and still get the same answer when you're subtracting or dividing. In other words, the order of the numbers matters in these cases.

That is, a - b ≠ b - a; a / b ≠ b / a.Here, the options C and D are not valid since they both represent addition operations, whereas the question demands subtraction. Between options A and B, A represents the subtraction operation and the result for this option is not the same as the result for the reverse subtraction operation which is why A is the right option.

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Answer: \(25\ mph\)

Step-by-step explanation:

Given

Jane took 3 hours

First she rode 48 miles with let say with \(x\) mph

then she rode 15 miles with speed \((x+5)\) mph

Equate the time in each ride and equate it to total time

\(\Rightarrow 3=\dfrac{48}{x}+\dfrac{15}{x+5}\\\\\Rightarrow 3x(x+5)=48(x+5)+15x\\\\\Rightarrow 3x^2+15x=48x+48\times 5+15x\\\\\Rightarrow 3x^2-48x-240=0\\\\\Rightarrow (x-20)(x+4)=0\\\\\text{Neglecting the negative value as speed cannot be negative}\\\\\Rightarrow x=20\ mph\)

So, her along the summit is \(x+5=25\ mph\)

Answer:

x = 50, y = 61

Step-by-step explanation:

y + 8 + 2x + 11 = 180°

y + 2x = 161°

the total of the interior angles of the 5 sided polygon is:

(180 x 5) - 360 = 540°

540 = 98 + 98 + 125 + 108 + 2x + 11

2x = 100

x = 50°

y + 2(50) = 161

y = 61°