The total cost, in dollars, to order x units of a certain product is modeled by C(x)=5x2+320. According to the model, for what size order is the cost per unit a minimum?

Answer:

Step-by-step explanation:

800+20%

20%= (20/100)

800/100=8*20=160

add to original price= 800+160=960

Answer:

450.00 x 0.7 x 1= 315

450.00 x 0.7 x 2 =630

450.00 x 0.7 x 3 = 945

450.00 x 0.7 x 4 = 1260

450.00 x 0.7 x 5 =1575

450.00 x 0.7 x 6= 1890

450.00 x 0.7 x 7 =2205

450.00 x 0.7 x 8 =2520

450.00 x 0.7 x 9 =2835

450.00 x 0.7 x 10 = 3150

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Step-by-step explanation:

The values for numbers #21 through #26 are as follows:

#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397

#21: 2.33% (arithmetic mean as a fraction: 0.0233)

#22: $56.4842 (result of the calculation)

#23: 1.85% (geometric mean as a fraction: 0.0185)

#24: $56.4148 (result of the calculation)

#25: 3.64% (continuous mean as a fraction: 0.0364)

#26: $57.4397 (result of the calculation)

To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.

#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.

#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.

#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.

#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.

#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.

#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.

Hence, the values for numbers #21 through #26 are as calculated above.

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Answer: 17

Step-by-step explanation: 5 + 12 = 17

12+5=17

12 (The cats weight right now)

+5 (Adding the weight it lost)

17 (The cat's original weight)

Hope this helps!

May I please have brainliest? :D

Answer:

11

Step-by-step explanation:

Answer:11

Step-by-step explanation:

because you have to create the equation and solve

The area of the pizza that Kris (2 pieces) ate is 18.84  square inches.

Given that, Charlie and Kris ordered a 16-inch pizza and cut the pizza into 12 slices.

So, here diameter of the pizza is 12 inches.

Then, radius = 12/2 = 6 inches

We know that, the area of a circle is πr².

Now, area of a pizza = 3.14×6²

= 3.14×36

= 113.04 square inches

So, area of 1 piece = 113.04/12

= 9.42

Area of 2 pieces = 9.42×2

= 18.84  square inches

Therefore, the area of the pizza that Kris (2 pieces) ate is 18.84  square inches.

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Answer: it is an acute triangle

Step-by-step explanation:

sum of the two smallest sides squared is 21.96 and the longest side squared is 15.0544 (21.96 > 15.0544) so it is an acute scalene triangle !!

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f(n) = ϴ(g(n)) is not true in cases B(sqrt(n)log(n), C(\(3^n 5^n\)), and D(sin(n)+3 cos(n)+1).

A) \(log(n^200) log(n^2)\)

Here, f(n) = \(log(n^200)\) and g(n) = \(log(n^2)\). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([log(n^200) / log(n^2)]\) = 100

This means that as n approaches infinity, the ratio f(n) / g(n) is constant, and so we can say that f(n) = ϴ(g(n)). Therefore, f(n) = ϴ(g(n)) is true in this case.

B) sqrt(n) log(n) Here, f(n) = sqrt(n) and g(n) = log(n). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sqrt(n) / log(n)]

As log(n) grows much slower than sqrt(n) as n approaches infinity, this limit approaches infinity. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

C) 3^n 5^n

Here, f(n) = \(3^n\) and g(n) = \(5^n\) . Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([3^n / 5^n]\)

As \(3^n\) grows much slower than \(5^n\) as n approaches infinity, this limit approaches zero. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

D) sin(n) + 3 cos(n) + 1

Here, f(n) = sin(n) + 3 and g(n) = cos(n) + 1. Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sin(n) + 3] / [cos(n) + 1]

As this limit oscillates between positive and negative infinity as n approaches infinity, we cannot say that f(n) = ϴ(g(n)) is true in this case.

Therefore, f(n) = ϴ(g(n)) is not true in cases B, C, and D.

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Answer:

total Change mean how much you change it. For example, If you have 2 dollor you give your mom 1 dollor, then what is your total Change now? 2-1=1 your total Change would be 1

Hope this helps.

The sum of the arrivals and departures from these three cities is 3x + 18.1 million.

If we let x be the number of arrivals and departures at Frankfurt airport, then the number of arrivals and departures at London airport is x + 12.9 million

The number of arrivals and departures at Paris airport is x + 5.2 million.

The sum of the arrivals and departures from these three cities is:

x + (x + 12.9 million) + (x + 5.2 million)

Simplifying this expression, we can combine like terms:

3x + 18.1 million

Therefore, the sum of the arrivals and departures from these three cities is 3x + 18.1 million.

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If X is a random variable with possible values 1, 2, 3, 4, and corresponding probabilities P(X= 1) =p, P(X= 2) = 0.4, P(X= 3) = 0.25, and P(X= 4) = 0.3, then the mean of X is 2.75+p. The answer is option (b)

To find the mean, follow these steps:

Hence, the correct option is b. 2.75 + p.

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Answer:

< 1 = 125 degrees

< 2 = 55 degrees

< 3 = 125 degrees

< 4 = 55 degrees

< 5 = 125 degrees

< 6 = 55 degrees

< 7 = 125 degrees (given)

< 8 = 55 degrees

Step-by-step explanation:

1 and 3 are equal because they are vertical angles, therefore proving their congruence.

7 and 1 are equal because they're alternate exterior angles, which are congruent.

2 and 4 are vertical, which is congruent.

5 and 7 are vertical.

6 and 8 are vertical.

Answer:

From J to K: right 6 units, down 4 units

From K to J: left 6 units, up 4 units

The completed table:

                                  Die

                     1          2          3         4          5        6

 Head      H - 1     H - 2    H - 3   H - 4   H - 5    H - 6

  Tail        T - 1      T - 2    T - 3    T - 4    T - 5   T - 6

We have,

The set of all possible outcomes when rolling the die and flipping the coin is the sample space.

The total number of outcomes.

= 6 x 2

= 12 outcomes.

Each cell in the table will represent one possible outcome.

Here's the completed table:

                                  Die

                     1          2          3         4          5        6

 Head      H - 1     H - 2    H - 3   H - 4   H - 5    H - 6

  Tail        T - 1      T - 2    T - 3    T - 4    T - 5   T - 6

Thus,

The completed table is given above.

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Answer:

D.? confused

Step-by-step explanation:

Q: Which decimal is greater than 0.15 and less than 0.7?

 A. 0.81

 B. 0.56

 C. 0.76

 D. 0.005                                                                                                                                                  A: I think it is B. and I think it is not D.

Answer:

1. Yes

2.i don't know sorry

3. no

4. no

Step-by-step explanation:

1. it is a terminating decimal

2. I don't know sorry

3.it is a repeating decimal

4.itis a repeating decimal

Answer:

the slope would be -1

Step-by-step explanation:

slope is determined by the sign + or - and the number before x

The orthonormal set derived from the original set is {(-1/√10, 3/√10), (3/√2, 1/√2)}.

(a) We must prove that the dot product of the set of vectors (-1, 3), and (15, 5) in R² is zero in order to show that they are orthogonal.

Ac + bd is the formula for the dot product of the two vectors (a, b) and (c, d). Let's determine the dot product of the vectors provided:

(-1, 3) · (15, 5) = (-1)(15) + (3)(5) = -15 + 15 = 0.

The set (-1, 3), (15, 5) is orthogonal because the dot product of the two vectors is zero.

(b) We divide each vector by its magnitude (length) to create unit vectors in order to normalize the set and create an orthonormal set.

(A² + B²) provides the magnitude (length) of a vector (a, b). Let's determine the magnitudes of the vectors provided:

||(-1, 3)|| = √((-1)² + 3²) = √(1 + 9) = √10,

||(15, 5)|| = √(15² + 5²) = √(225 + 25) = √250 = 5√2.

By dividing each vector by its magnitude, we may normalize the vectors:

=((-1, 3) / √10, (15, 5) / (5√2))

= (-1/√10, 3/√10), (15/(5√2), 5/(5√2))

= (-1/√10, 3/√10), (3/√2, 1/√2).

The orthonormal set that results from the original set is therefore (-1/10, 3/10), (3/2, 1/2).

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The income elasticity of demand for food is 1.

The income elasticity of demand measures how quantity demanded changes when income changes.

income elasticity of demand = percentage change in quantity demanded / percentage change

When income elasticity of demand is one, it means that the good has a constant demand regardless of changes in income.

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1. A. 2/3 of the volume of the rectangular prism crate = 5.7 ft³

B. Amount of space the dog will occupy is: 2.55 ft³. Josiah should buy the medium crate.

2. 21.05 ft²

The volume of a rectangular prism = (length)(width)(height).

1. Part A:

Length of the rectangular prism crate = 2.5 ft

Width = 1.7 ft

Height = 2 ft

Volume of the rectangular prism crate = (2.5)(1.7)(2)

Volume of the rectangular prism crate = 8.5 ft³

2/3 of the volume of the rectangular prism crate = 2/3(8.5) = 5.7 ft³

Part B:

Amount of space the dog will occupy = volume = (length)(width)(height).

Length = 2 ft

Height = 1 2/3 = 1.7 ft

Width = 3/4 = 0.75 ft

Amount of space the dog will occupy = volume = (2)(0.75)(1.7)

Amount of space the dog will occupy = volume = 2.55 ft³

The space the dog will occupy is less than 2/3 of the space of the crate, therefore, Josiah should buy the medium crate.

2. Amount of fabric needed to cover the crate = surface area of rectangular prism - (lw) = 2·(1.7·2.5+2·2.5+2·1.7) - (2.5)(1.7)

= 25.3 - 4.25

= 21.05 ft²

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Answer: 2.01

Step-by-step explanation: Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.

Divide the diameter by 2.

Answer:

x = 1, y = 4

Step-by-step explanation:

6x + 5y = 26

2x + 2y = 10

6x + 5y = 26

6x + 6y = 30

-y = -4

y = 4

2x + 8 = 10

2x = 2

x = 1

Answer:

this is the solution of your answer

Answer:

Step-by-step explanation:

(-75) x173+173x(-25)

173(-75-25)

173(-100)

-17300

Answer:

C=7

Step-by-step explanation:

Because it's a right angle in total we know the 2 expressions combined will equal 90.

(8c-5)+(6c-3)=90

Answer:

D

Step-by-step explanation:

7 3 5 2

x     4 8

-----------

352,896

Hey There!!~

Because, First thing to do is mulpity 2 x 8 = 16 so, You bring the 6 and bring up the 1. Then, 5 x 8 = 40 + 1 = 41. So, we bring down the 1 and bring up the 4. Then, 3 x 8 = 24 + 4 = 28. Then, The same thing bring down the 8 and let the 2 stay up there. 7 x 8 = 56 + 2 = 58. So, Right now the answer is 58, 816. So, We just completed the first step, But we're are not done yet... 4 x 2 = 8. Then, 5 x 4 = 20. So, we bring down the 0 and bring up the 2. Then, 4 x 3 = 12 + 2 = 14. So, The 4 stay down and 1 goes up. Then, 7 x 4 = 28 + 1 = 29. So, we just completed the second step. The last step is to add 58, 816 + 29, 408 = 352, 896. Hope This helps!!

The carrot cakes are the fraction of the cake given by \(1 - \frac{6}{7}\) multiplied by \(\frac{1}{3}\)

The fraction of the cake that are chocolate cake = \(\dfrac{2}{3}\)

The fraction of the remaining cake that cheesecakes = \(\dfrac{6}{7}\)

The rest of the cakes = carrot cakes

Required:

The fraction of the cake that  are carrot cakes

Solution:

The fraction of the cakes that are not chocolate cake = \(1 - \dfrac{2}{3} = \mathbf{ \dfrac{1}{3}}\)

The fraction of the remaining cakes that are cheesecake = \(\dfrac{6}{7} \times \dfrac{1}{3} = \mathbf{ \dfrac{6}{21}}\)

The fraction of the cake that are carrot cake = \(\dfrac{1}{3} - \dfrac{6}{7} \times \dfrac{1}{3} = \mathbf{\dfrac{1}{21}}\)

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We want to find the value of k given that the area of the region R is 36. To do this, we need to find the limits of integration and set up the integral for finding the area of the region R. The answer is (B) 3.

Since R is in the fourth quadrant and is enclosed by the x-axis and the curve Y = X^2 - 2KX, we can find the limits of integration by setting Y = 0 and solving for X:

0 = X^2 - 2KX
X(X - 2K) = 0
X = 0 or X = 2K

So the limits of integration are from X = 0 to X = 2K.

Now we can set up the integral for finding the area of the region R:

∫[0,2K] (X^2 - 2KX) dX

Integrating this expression gives:

[(1/3)X^3 - KX^2] evaluated at 0 and 2K

Plugging in the limits of integration and simplifying, we get:

(8/3)K^3 - 4K^3

Simplifying this expression, we get:

(2/3)K^3 = 36

Solving for K, we get:

K^3 = 54

Taking the cube root of both sides, we get:

K = 3

Therefore, the answer is (B) 3.

To find the value of k, follow these steps:

1. Determine the x-intercepts of the curve Y = X^2 - 2KX by setting Y = 0.
0 = X^2 - 2KX
X(X - 2K) = 0
The x-intercepts are X = 0 and X = 2K.

2. As we are looking for the area in the fourth quadrant, the integral bounds are from 0 to 2K.

3. Set up the integral for the area:
Area = ∫(X^2 - 2KX) dx, from 0 to 2K

4. Evaluate the integral:
Area = (X^3/3 - KX^2) | from 0 to 2K
= [(8K^3/3 - 4K^3) - (0)]
= 8K^3/3 - 4K^3
= (4K^3/3)

5. Set the area equal to 36 and solve for k:
36 = (4K^3/3)
9 = K^3
k = 3^(1/3) ≈ 2.08

The closest value from the given options is (A) 2.

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