A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars made. If x cars are made, then the
unit cost is given by the function C(x)=0.5x²-180x+25,885. What is the minimum unit cost?
Do not round your answer.

Step-by-step explanation:

1. find how many are not working

20 - 7 = 13

2. make this into a fraction:

13/20

3. make equivalent to x/100

do this by multiplying by 5

13/20 = 65/100

65/100 is 65% which don't work

Answer:

65%

Step-by-step explanation:

20-7=13, 13/20=0.65, 0.65*100=65 (Which leaves you with your answer)

The coordinates of the image of point D are (- 6, - 4) and a representation  of the rigid transformation is shown in the picture attached below.

Herein we find the location of point D, which is set on Cartesian plane and must be modified by the use of a rigid transformation known as dilation. The general definition of the dilation rule is defined below:

D'(x, y) = O(x, y) + k · [D(x, y) - O(x, y)]

Where:

If we know that O(x, y) = (0, 0), D(x, y) = (- 3, - 2) and k = 2, then the coordinates of the image are:

D'(x, y) = (0, 0) + 2 · [(- 3, - 2) - (0, 0)]

D'(x, y) = (- 6, - 4)

Now we proceed to present the location of the image on the Cartesian plane.

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Answer:

264

Step-by-step explanation:

The area of the base is [tex]\pi(8)^2=64\pi [/tex].

So, the surface area is [tex]\pi(8)(25)+64\pi=264\pi[/tex]

Answer: 14 is the number

Step-by-step explanation:

[tex]e^{-5 \lambda}[/tex] is the probability that we have to wait for more than 5 min for the bus to arrive.

So, [tex]f_X(x)=\lambda e^{-\lambda x}, x \geq 0[/tex] ⇒ [tex]P(x \geq 5)=\int_5^{\infty} f_X(x) d x[/tex]

Now, solving the above function as follows:

[tex]\begin{aligned}&P(x \geq 5)=\int_5^{\infty} f_X(x) d x \\&=\int_5^{\infty} \lambda e^{-\lambda x} d x \\&=\left.\right|_5 ^{\infty} \frac{\lambda e^{-\lambda x}}{-\lambda} \\&=\left.\right|_5 ^{\infty}-e^{-\lambda x} \\&=e^{-5 \lambda}\end{aligned}[/tex]

Therefore, the probability that we have to wait for more than 5 min for the bus to arrive is [tex]e^{-5 \lambda}[/tex].

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The correct question is given below:
Suppose that the buses arrive are scheduled to arrive at a bus stop at noon are always X minutes late, where X is an exponential random variable with probability density function  [tex]f_X(x)=\lambda e^{-\lambda x}, x \geq 0[/tex]. Suppose you arrive at the bus stop precisely at noon. Find the probability that you have to wait for more than 5 min for the bus to arrive

The value of the fraction given as - 1 3/4 - (-8 1/3) - (- 4 1/4) will be 10 5/6.

It should be noted that a fraction is simply used to represent the numbers that aren't whole. The commutative property of addition states that the sum is unaffected by the order of the addends.

According to the associative property of addition, the grouping of integers does not affect the sum.

Based on the information given, the fraction is illustrated as:

= - 1 3/4 - (-8 1/3) - (- 4 1/4)

Note that (-) × (-) = +

Therefore,

= - 1 3/4 - (-8 1/3) - (- 4 1/4)

= - 1 3/4 + 8 1/3 + 4 1/4

The LCM of the denominator is 12

= - 1 9/12 + 8 4/12 + 4 3/12

= 12 7/12 - 1 9/12

= 10 10/12

= 10 5/6

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PLUG IN THE VALUE 4 IN THE PLACE OF Y AND SIMPLIFY

[tex] = 6(4) - 78 \\ = 24 - 78 \\ = - 54[/tex]

HOPE THIS HELPS

Answer: 0.224

Step-by-step explanation:

40/178= 0.224

work in the pic

There is a 0.75 percent chance that the person is a woman with long hair.

Probability can be used to define potential. The occurrence of a random event is the focus of this mathematical field. There is a 0 to 1 value range. The likelihood of anything happening is often referred to as probability. Utilize probability to gauge a situation's likelihood of happening. Numerous factors are difficult to forecast with absolute precision. Using it, we can only speculate on whether or how likely it is that an event will occur. A probability scale with a value of 0 for an impossibility and 1 for a certainty. In a sample space, there is a one probability for every event.

E is the probability of an event . Hence,

P(E) is the ratio of favorable results to all outcomes.

In probability, an event is deemed dependent if it is impacted by other occurrences, and independent if it is wholly unaffected by the occurrence of any other event.

By applying the literature and formulas previously mentioned, we have:

F should signify for the fact that the student is female, and L should stand for the fact that the student has long hair.

P(F)

= 0.60

P(L)

= 0.50

P(F AND L)

= 0.45

P(L|F)

= 0.75

There is a probability of  0.75 that a randomly chosen student has long hair.

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Using linear functions, it is found that:

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

In the context of this problem, it is used because the rate of change for each plan is constant, that is, for each device, there is a constant increase in the plan charge.

For the plans in this problem, we have that:

Hence the models for each plan are given as follows, with P representing the number of devices.

The costs will be the same when:

F(P) = M(P)

Hence we solve for P to find the number of plans as follows:

90 + 40P = 120 + 35P

5P = 30

P = 6 devices.

For 3 smartphones, the costs are given as follows:

210 < 225, hence the Family Plan is more affordable.

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Answer:

[tex]t=\frac{8x-24}{7}\\[/tex]

Step-by-step explanation:

[tex]\frac{7}{8}t+3=x\\\frac{7}{8}t=x-3\\7t=8x-24\\t=\frac{8x-24}{7}[/tex]

Pretty simple, basic algebra.

1. Switch the sides to make it easier to read

2. Subtract 3 on both sides

3. Divide both sides by 8 to cancel the denominator

4. Divide both sides by 7 to isolate the y

Answer: 846.12

Step-by-step explanation:

The height till which the ladder will reach the wall will be 3.84 m.

For the given question,

The distance between the base of the ladder and the wall is 1.4 m.

The angle made by base of the ladder to the floor is 70 degree.

Let the height till which the ladder goes be 'h'.

Then, applying the trigonometric identity.

tan 70 = h/1.4

h = 1.4 × tan 70

h = 3.84 m

Thus, the height till which the ladder will reach the wall will be 3.84 m.

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The best choice for the location of the square root of 377 is B. less than 20.

It should be noted that the square root of a number simply means the number that we can multiply but itself which will give the original number.

In this case, it should be noted that the square root of 377 is 19.4. It should be noted that this is close to 20.

Therefore based on the options given the correct option is B.

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Which point is the BEST choice for the location of ✓377?

Less than 15

Less than 20

Less than 14

More than 10

Answer:

B

Step-by-step explanation:

Answer: the answer is 10.875

Hope this helped :D

Answer:

10 7/8 Here you go :) ten seven eights

Step-by-step explanation:

Answer:

-3 and 23,20,17

Step-by-step explanation:

35-3=32,32-3=29

The image of triangle CDE after a rotation of 90º counterclockwise around the origin is graphed at the end of the answer.

When a polygon undergoes a rotation, this rotation is over an angle measure, that defines the coordinate rule for each vertex of the polygon.

For triangle CDE, the vertices are given as follows:

D(-7,-1), C(-7,-7), E(-4,-8).

The rule for a rotation of 90º counterclockwise around the origin, for each vertex (x,y) of the polygon, is given by:

(x,y) -> (-y,x).

Hence, applying the rule above, the vertices of the image of triangle CDE will be given as follows:

D'(1,-7), C'(7,-7), E'(8,-4).

The triangle, with these vertices labeled, is graphed at the end of the answer.

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Answer:

$44.80

Step-by-step explanation:

Multiply 0.50 by 896.

The name for this new group of tiles will be three x² tiles, eight x tiles and nine unit tiles.

Based on the information, it should be noted that the following can be illustrated:

Number of x² tiles = 2 + 1 = 4

Number of x tiles = 3 + 5 = 8

Number of units tiles = 1 + 8 = 9

In this case, this is appropriately illustrated as three x² tiles, eight x tiles and nine unit tiles.. This will be the new name.

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Answer:

length = 46 yards

Step-by-step explanation:

width = [tex]7\frac{2}{3}[/tex] yards

length = 6 times the width

[tex]7\frac{2}{3} *6 = 46[/tex]

length = 46 yards

Answer:

[tex]x=-2, x=\frac{4}{3}, x = 3[/tex]

Step-by-step explanation:

First, factor it.

[tex](x+2)(3x-4)(x-3)=0[/tex]

Use the Zero Factor Principle and equate them each to 0.

[tex]x+2=0\\x=-2\\\\3x-4=0\\x=\frac{4}{3}\\\\x-3=0\\x=3[/tex]

This is how you find the roots of [tex]3x^3-7x^2-14x+24[/tex].

The common difference of the AP is 4.33 and its first term is 30.

The formula to calculate the nth term of an Arithmetic Sequence is -

a - first term of A.P.

d - Common difference of A.P.

n - position of term

Given is the 1st term of an AP as 30 while the Sum of the its first 7 terms is 56.

We have -

[a] = 30

and -

a + (7 - 1)d = 56

30 + (6)d = 56

6d = 56 - 30

6d = 26

d = 26/6

d = 13/3

d = 4.33

and

the first term of the AP is 30.

Therefore, the common difference of the AP is 4.33 and its first term is 30.

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Step-by-step explanation:

14/33.

step 1. in the denominator you find the Lowest commons multiple, since 11 and 3 don't have common multiples, you just do 11 x 3 which is 33. you denomination would be 33

step 2. multiply 2 and 7 which is 14. your answer is 14/33.

Part a

[tex](f \circ g)(x)=f(g(x))=\sqrt{x+9}[/tex]

Part b

[tex](g \circ f)(x)=g(f(x))=\sqrt{x}+9[/tex]

Part c

[tex](f \circ g)(7)=\sqrt{7+9}=4[/tex]

Part d

[tex](g \circ f)(7)=\sqrt{7}+9[/tex]

Given the transformations of the graph of f(x)=6x, the function rule g(x) is therefore g(x) = -1/2x.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location. Transformations can be divided into four categories: translation, rotation, reflection, and enlargement. You must be able to carry out each transformation and recognize which ones have already been done.

Given Data

f(x) = 6x

The resulting function will be f(x) = -6x if the function is not reflected over the x-axis.

The final function rule will be; if the resulting function is compressed by a factor of 1/12.

g(x) = 1/12(-6x)

g(x) = -1/2x

Given the transformations of the graph of f(x)=6x, the function rule g(x) is therefore g(x) = -1/2x.

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Answer:

73°

Step-by-step explanation:

To find ∠QPS, just add ∠1 and∠2

∠QPS = ∠1 + ∠2

          = 44° + 29°

          = 73°

Answer:

∠QPS = 73°

Step-by-step explanation:

∠1 = 44°

∠2 = 29°

∠QPS = ∠1 + ∠2 = 44° + 29° = 73°

Answer for 1: 16.4
Answer for 2: 10.095
Answer for 3: 7.431
Answer for 4: 2.31
Answer for 5: 42.74
Answer for 6: 10.224
Answer for 7: 4.436
Answer for 8: 20.574
Answer for  9: 35.626
Answer for 10: 31.042
Answer for 11: 84.708
Answer for 12: 53.066
Answer for 13: 0.0061
Answer for 14: 7.092
Answer for 15: 1.463
Answer for 16: 92.0898

I hope this helps :)

Answer:

3.3 x 10^-4

Step-by-step explanation:

It's 3.3 x 10^-4 because 3.3 x 10^-4 would be 0.00033 and 8.0 x 10^0 would be 1 so 0.00033 x 1 = 0.00033. Then when we plug 0.00033 into scientific notation we will get 3.3 x 10^-4

Answer:

Step-by-step explanation:

negative