following functions, where x represents the number of radios produced and sold. C(x)=650,000+45x,R(x)=70x Find and interpret (R-C)(13,000),(R-C)(26,000), and (R-C)(39,000).

Answer:

1/8, 0.35, 0.39, 5/7, 9/10

Step-by-step explanation:

1/8 = 0.125

5/7 = 0.714

0.350

0.390

9/10 = 0.900

now let's order them from least to greatest:

0.125 , 0.350 , 0.390 , 0.714 , 0.900

= 1/8, 0.35, 0.39, 5/7, 9/10

if you have trouble with these types of problems change them all into decimals which will make things easier!

:D

Hope this was helpful

Answer:

55.8507

Step-by-step explanat

55.8507 is the answer

hope i helped ;D

Answer:

given

x=5

y= -2

expression :-> 7(2(5)-3(-2))

7(10+6)

7 * 16

112

therefore 112 is ur ans

If x equals 5 and y equals negative 2 evaluate following expressions 7(2x-3y)

112

Please look at the attached picture :)

Answer:

27

Step-by-step explanation:

1+17=18 and then 18+9=27

Answer: 27 years old

Step-by-step explanation: 1 + 17 = 18. He is 18 years old now.

18 + 9 = 27. He will be 27 years old then.

Answer:

Hey there!

3x+y=7

2x+y=6

3x+y=7

-2x-y=-6

Add these two equations vertically so the y terms cancel out (this is known as the elimination method)

x=1

3x+y=7

3(1)+y=7

3+y=7

y=4

(x=1, y=4)

Hope this helps :)

Answer: I have been asked the same question I believe that it is obtuse and isosceles.

Step-by-step explanation: Well a triangle with 1 obtuse angle means it is an obtuse triangle but a triangle with 2 congruent means it is an isosceles triangle.

This angle is isosceles as well as obtuse.

What is an isosceles triangle?

Isosceles triangle is a triangle that has two equal sides.

What is an obtuse-angled triangle?

An obtuse-angled triangle is a triangle that consists of an interior angle of more than a right-angle (90)°.

As this triangle has two congruent side, it is an isosceles triangle.

Similarly, it has one obtuse angle. Therefore, this triangle is an obtuse-angled triangle.

Hence, for this triangle, B. Isosceles C. Obtuse both apply.

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Answer: 25% of the students said orange was their favorite color.

50% of the students said either green or orange was their favorite color.

Step-by-step explanation:

The statements about the circle graph are correct;

C. 25% of the students said orange was their favorite color.

D. 50% of the students said either green or orange was their favorite color.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

Given that circle graph titled Favorite Colors. 50 percent is blue, 25 percent is orange, 25 percent is green.

In total, there are 100 students.

50 %is blue,

25 %is orange,

25 %is green.

Therefore,  25% of the students said orange was their favorite color and 50% of the students said either green or orange was their favorite color.

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The area of the rectangular-shaped building is 2448 square feet.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that a rectangular-shaped building that is 34 feet wide and 72 feet long. The area of the rectangle will be calculated as below:-

Area of rectangle = Length x width

Area of rectangle = 34 x 72

Area of rectangle = 2448 square feet

Therefore, the area of the rectangular-shaped building is 2448 square feet.

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Answer: The correct answer is B.

Answer:

8

Step-by-step explanation:

The intersecting chord theorem is expressed as;

7 * x = 4 * 14

7x = 56

Divide both sides by 7

7x/7 = 56/7

x = 8

Hence the value of x is 8

Miss Arnold's balance at the end of the month is $812.46.

To calculate Miss Arnold's balance at the end of the month, we need to consider her initial deposit, the service fee, check charges, and the amounts she wrote checks for.

Initial Deposit: Miss Arnold opened her account with her first paycheck of $1,287.95.

Service Fee: The bank charges a service fee of $5 per month. Therefore, her balance is reduced by $5.

Check Charges: The bank charges 25¢ per check if the account balance is less than $1,500. Miss Arnold was charged $17.50 for 200 checks, so each check cost $0.25. Thus, the total check charges can be calculated as follows:

Total check charges = Number of checks × Cost per check

Total check charges = 200 × $0.25 = $50

Check Amounts: Miss Arnold wrote checks for $140, $123.74, $143.78, and $12.97. We need to subtract the sum of these check amounts from her balance.

Check amounts = $140 + $123.74 + $143.78 + $12.97 = $420.49

Now, let's calculate Miss Arnold's balance at the end of the month:

Initial balance = $1,287.95

Service fee = -$5.00

Check charges = -$50.00

Check amounts = -$420.49

Balance at the end of the month = Initial balance + Service fee + Check charges + Check amounts

Balance at the end of the month = $1,287.95 - $5.00 - $50.00 - $420.49

Balance at the end of the month = $812.46

Therefore, Miss Arnold's balance at the end of the month is $812.46.

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The main difference between the reciprocal and inverse of a function is their definition and properties. The reciprocal of a function f(x) is defined as 1/f(x), while the inverse of a function f(x) is a function f^(-1)(x) such that \(f(f^(-1)(x))=x and f^(-1)(f(x))=x\) for all x in their respective domains.

The domains of sine, cosine, and tangent functions need to be restricted to define their inverse functions because they are not one-to-one functions. In order to have an inverse, a function must be both one-to-one (each output has only one input) and onto (each output value is mapped by at least one input value).

For example:
- sine: restricted domain to [-π/2, π/2] to define its inverse, arcsin (sin^(-1))
- cosine: restricted domain to [0, π] to define its inverse, arccos (cos^(-1))
- tangent: restricted domain to (-π/2, π/2) to define its inverse, arctan (tan^(-1))

These restrictions ensure that the functions become one-to-one and onto, making it possible to define their inverses uniquely.

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Answer:

s : m : l

2u : 3u : 7u

small bag=15kg

medium bag=22.5kg

large bag=52.5kg

Answer:

your answer is 3

Step-by-step explanation:

36 divide by 3 = 12 and 12 divide by 2 = 6 and 6 divide by 2 = 3

Answer:

5.7

Step-by-step explanation:

Equilateral triangle means all the sides are the same length. So each side is basically \(\sqrt{11}\) times 2

After we know that, we then look to the Pythagorean theorum:

a^2 + b^2 = c^2

Before that, we have to find what the length of the hypotenuse is. 90 degrees equals \(\sqrt{11}\) times 2. So plug this info into the equation:

\(\sqrt{11}\)^2 + b^2 = \(2\sqrt{11}\)^2

11 + b^2 = 4(11)

11 + b^2 = 44

b^2 = 33

b = \(\sqrt{33}\)

b = 5.744 = 5.7

Answer:

AC = 18

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos30° = \(\frac{\sqrt{3} }{2}\) , then

cos30° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AC}{AB}\) = \(\frac{AC}{12\sqrt{3} }\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )

2 AC = 12\(\sqrt{3}\) × \(\sqrt{3}\) = 12 × 3 = 36 ( divide both sides by 2 )

AC = 18

∠ACB=90° ⇒ ΔABC is right triangle

AB is hypotenuse, ∠BAC=30° ⇒

\(CB=\dfrac{AB}{2}=\dfrac{12\sqrt{3} }{2} =6\sqrt{3}\)

Let's use Pythagorean theorem

\(AB^2=BC^2+AC^2\\AC^2=AB^2-BC^2\\AC^2=(12\sqrt{3})^2-(6\sqrt{3} )^2\\AC=\sqrt{(12\sqrt{3}-6\sqrt{3})(12\sqrt{3}+6\sqrt{3}))} \\AC=\sqrt{6\sqrt{3}\times18\sqrt{3} } \\AC=\sqrt{3\times6\times18} \\AC=18\)

In this hypothesis test, we want to determine whether the average price of a condominium in Naples, Florida is at most $50,000.

H0: The average price of a condominium in Naples, Florida is $50,000 or less.

H1: The average price of a condominium in Naples, Florida is greater than $50,000.

To calculate the test statistic, we can use the formula:

test statistic = (sample mean - hypothesized mean) / (standard deviation / sqrt(sample size))

Given that the sample mean is $51,500, the hypothesized mean is $50,000, the standard deviation is $8,500, and the sample size is 81, we can substitute these values into the formula to calculate the test statistic.

The p-value represents the probability of obtaining a sample mean as extreme as the observed one, assuming the null hypothesis is true. To determine the p-value, we will use the test statistic and the appropriate distribution (in this case, the t-distribution).

Based on the p-value and the significance level of 0.10, we will make a decision. If the p-value is less than 0.10, we will reject the null hypothesis in favor of the alternative hypothesis. If the p-value is greater than or equal to 0.10, we will fail to reject the null hypothesis.

In the decision, we will conclude whether there is enough evidence to support the claim that the average price of a condominium in Naples, Florida is at most $50,000, based on the calculated p-value and the chosen significance level.

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Answer:

your answer should be A

have a good day:)

Step-by-step explanation:

Answer: A.

Step-by-step explanation: I did all of the work in my notebook this is too easy have a good rest of your day.

Answer:

\(x = -\frac{15}{2}\)

Step-by-step explanation:

Hello!

The formula for the AOS is given to you, and you simply have to plug in the information given by the equation.

Equation of a Parabola (Standard): \(y = ax^2 + bx + c\)

Comparing it to our equation:

Plug it in to the AOS formula:

You only have to input 15 in to the correct box since the negative sign is already placed for you.

Answer: 12

Step-by-step explanation: by the end of 12 weeks shell have 200 dollars left

The limit of the given expression as x approaches 1 from the right is 1.8.

To evaluate the limit of the given expression:

\(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)

We can start by directly substituting x = 1 into the expression:

[ln(1⁹ - 1) - ln(1⁵ - 1)]

= [ln(0) - ln(0)]

However, ln(0) is undefined, so this approach doesn't provide a meaningful answer.

To apply L'Hôpital's Rule, we need to rewrite the expression as a fraction and differentiate the numerator and denominator separately. Let's proceed with this approach:

\(lim_{x - > 1}\)+ [ln(x⁹ - 1) - ln(x⁵ - 1)]

= \(lim_{x - > 1}\)+ [ln((x⁹ - 1)/(x⁵ - 1))]

Now, we can differentiate the numerator and denominator with respect to x:

Numerator:

d/dx[(x⁹ - 1)] = 9x⁸

Denominator:

d/dx[(x⁵ - 1)] = 5x⁴

Taking the limit again:

\(lim_{x - > 1}\)+ [9x⁸ / 5x⁴]

= \(lim_{x - > 1}\)+ (9/5) * (x⁸ / x⁴)

= (9/5) * \(lim_{x - > 1}\)+ (x⁸ / x⁴)

Now, we can substitute x = 1 into the expression:

(9/5) * \(lim_{x - > 1}\)+ (1⁸ / 1⁴)

= (9/5) * \(lim_{x - > 1}\)+ 1

= (9/5) * 1

= 9/5

= 1.8

The complete question is:

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. \(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)

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Answer:

Yes

Step-by-step explanation:

80² + 150² = 170²

6400 + 22500 = 28900

28900 = 28900

Answer:

3 socks

Step-by-step explanation:

The number of socks in the box does not matter. There are only 2 choices of socks in the box. So, if you take out 3 random socks from the box, you're guaranteed a pair.

If she plays in a game in which she shoots 7 free throws, the probability that she will make all 7 = 0.0188

For given question,

a basketball player makes approximately 69% of free throws.

So, the probability of success (p) = 0.69

the probability of failure (q) = 0.31

She plays in a game in which she shoots 7 free throws.

So, n = 7

We need to find the probability that she will make all 7.

Using Binomial probability Distribution,

For x = 7,

\(P(x = 7) =~ ^7C_7\times (0.67)^7\times (0.31)^{7-7}\\\\P(x=7)= 1\times 0.0606\times 0.31\\\\P(x=7)=0.0188\)

Therefore,  if she plays in a game in which she shoots 7 free throws, the probability that she will make all 7 = 0.0188

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The area of the region bounded by the polar curves θ = π and r = 10θ, 0≤θ≤1.5π is 2603.54 square units.

The polar curve θ = π is a vertical line passing through the point (-π, y) in Cartesian coordinates, where y can take any value. The polar curve r = 10θ can be rewritten as θ = r/10, so it represents a spiral that starts at the origin and winds around the pole as θ increases.

To find the region bounded by these curves, we need to find the points where they intersect. When θ = π, we have r = 10π. When r = 10θ, we have θ = π/10. These two polar coordinates correspond to the point (-10π, 0) and (π/10, 10π/10), respectively.

We can now calculate the area of the region using the formula:

A = (1/2) ∫[a,b] (f(θ)*f(θ)) dθ

where a and b are the angles of the region, and f(θ) is the distance from the pole to the curve at angle θ.

In this case, the angles are a = π/10 and b = π, and the distance from the pole to the curve r = 10θ is simply r = 10θ. Therefore, the area is:

A = (1/2) ∫[π/10,π] (10θ)*(10θ) dθ

= (1/2) ∫[π/10,π] 100θ*θ dθ

= (1/2) [ (100/3) \(\pi ^{3}\) - (100/3) (π/10)^3 ]

= 4975π/6

So the area of the region bounded by the polar curves θ = π and r = 10θ, 0≤θ≤1.5π is approximately 2603.54 square units.

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Answer: 14.3%

Step-by-step explanation:

3 blue

7 red

4 green

14 total

pick a red: 7/14

replace it

pick a green: 4/14

7/14*4/14 = 1/7 or 14.285714%

rounded that is 14.3%

The parametric equations for the line of intersection are:
x = 61 - 5t
y = 2t - 30
z = t

To find the parametric equations for the line of intersection of the given planes, we first need to solve the system of equations:

1. x + 2y + z = 1
2. 2x + 5y + 32 = 4

Step 1: Solve for x from equation 1:
x = 1 - 2y - z

Step 2: Substitute x in equation 2 with the expression found in step 1:
2(1 - 2y - z) + 5y + 32 = 4

Now we can use elimination to solve for one variable. Let's eliminate y by multiplying the first equation by 5 and subtracting it from the second equation:

Step 3: Simplify and solve for y:
2 - 4y - 2z + 5y + 32 = 4
y - 2z = -30

Step 4: Designate z as the parameter t:
z = t

Step 5: Substitute z with t in the expression for y:
y = 2t - 30

Step 6: Substitute z with t in the expression for x:
x = 1 - 2(2t - 30) - t
x = 1 - 4t + 60 - t
x = 61 - 5t

Now we have the parametric equations for the line of intersection:
x = 61 - 5t
y = 2t - 30
z = t

Note that we can choose any value of z for the parameter t, since z is unconstrained.

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Answer:

I think its 3 out of 7