The marginal cost function for manufacturing perfume is given by c(x) = 7x + 28, where x is the product quantity. Find the change in the cost of perfume when the number of units sold changes from 2 to 10.
A.
$56
B.
$57
C.
$62
D.
$67

a) The probability of selecting a blue marble is P ( B ) = 1/4

b) The probability of selecting a green marble is P ( G ) = 1/6

c) The probability of selecting not a green marble is P' ( G ) = 5/6

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the number of blue marbles = 3

Let the number of red marbles = 6

Let the number of green marbles = 2

Let the number of black marbles = 1

So , the total number of marbles = 12

So , the probability is given as

The probability of selecting a blue marble is P ( B ) = 1/4

The probability of selecting a green marble is P ( G ) = 1/6

The probability of selecting not a green marble is P' ( G ) = 5/6

Hence , the probability is solved

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The complete question is attached below :

There are 3 blue marbles, 6 red marbles, 2 green marbles and 1 black marble in a bag. Suppose you select one marble at random. Find the probability for each of the following.

Answer:

I think 12 is the answer

Step-by-step explanation:

In ∆ QOP

R and S is the midpoint of OQ and PQ

and RS is parallel to OP

Therefore , By BPT

∆QRS is similar to ∆ QOP

let QS length be 1 unit

therefore , QP is 2 unit ( because QS is half of QP )

RS / OP = QS / QP

18-4x / -9+7x = 1 / 2

after cross multiplying

36-8x = -9+7x

36+9 = 7x+8x

45 = 15x

x=3

we have OP length = -9+7x

put the value of x in above equation

-9+7×3

-9+21

12

Answer:

its Ifa point is on the perpendicular bisector of a segment, then it is proportional from the endpoints of the segment.

Step-by-step explanation:

The path followed by the ball as a function of time is given by :

[tex]h=-16t^2+vt+h[/tex]

Where

v is initial velocity and h is initial height,

v = 4.3 cm/s = 0.043 m/s and h = 14 cm = 0.14 m

The equation becomes,

[tex]h=-16t^2+0.043t+0.14[/tex] ....(1)

It is a quadratic equation,

t = 0.095 s

Put the value of t in equation (1).

[tex]h=-16(0.095)^2+0.043(0.095)+0.14\\\\h=-0.000315\ m[/tex]

or

h = -0.00103 ft (negative sign shows height is in negative direction)

Answer:

Step-by-step explanation:

answer is 98 degree because the relation between missing angle and 98 degree is alternate exterior angles and alternate exterior angles are always equal.

answer is 89 degree because the relation between missing angle and 89  degree is corresponding angles and corresponding angles are always equal.

in the 5th question

let's consider the angle there as A so angle A is 98 degree and by the relation of alternate angles the question mark (?) is 98 degree

in 6th question

by the relation of corresponding angles the question mark(?) is 89 degree

Let us assume the three angles to be angle 1, angle 2 and angle 3.

Angle 1 = 35°

Angle 2 = 120°

Angle 3.

[tex]{\boxed{\mathcal{\red{The \:measure\:of\:the\:missing\:angle\:is\:25°. \:✅}}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

➪ ∠ 1 + ∠ 2 + ∠ 3 = 180°

➪ 35° + 120° + ∠ 3 = 180°

➪ 155° + ∠ 3 = 180°

➪ ∠ 3 = 180° - 155°

➪ ∠ 3 = 25°

[tex]\sf\red{Therefore, \:the\: measure \:of \:∠\: 3\: is \:25°.}[/tex]

∠ 1 + ∠ 2 + ∠ 3 = 180°

✒ 35° + 120° + 25° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

Answer:

? = 25°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180° for missing angle, that is

? = 180° - (120 + 35)° = 180° - 155° = 25°

Answer:

540 degrees

Step-by-step explanation:

The formula to find the sum of interior angles in any polygon is the following:

[tex]S=180(n-2)[/tex]

Where (n) represents the number of sides in the polygon. In this case, the polygon has (5) sides, therefore substitute (5) in place of (n) and solve;

[tex]S=180(n-2)\\\\S=180(5-2)\\\\S=180(3)\\\\S=540[/tex]

Answer:

624

Step-by-step explanation:

[tex] 2(\frac{1}{2} \times 6 \times 8 ) + (24 \times 8) + (24 \times 6) + (10 \times 24)\\ = 624[/tex]

The correct option is B - Where the given data is plot correctly.

Answer:

To do this question, you need to put the numbers in least to greatest. Greatest to least will not work and will be incorrect.

It will be:

-3, -1, 0, 1, 5, 6, 7, 8, 10, 13

Now you have to cancel each number out from each end.

You will get the numbers:

5, and 6.

You have to find the average of this so:

5 + 6 = 11

11 ÷ 2 = 5.5

So the answer is 5.5.

Answer:

5.5

Step-by-step explanation:

First you would rearrange the numbers from smallest to biggest or vice versa then you cancel out equal number of numbers on both sides until you get to the middle. If it's an even amount of numbers, like 10, then there will be two in the middle instead of one so in that case you would add the two of them and then divide by two.

For example, -3, -1, 0, 1, 5, 6, 7, 8, 10, 13

you would cancel out until you get to the middle which would leave you with 5 and 6 so you add them and divide by two to get 5.5.

Answer:

Triangle 3

Step-by-step explanation:

A 3:4:5 triangle or any triangle of the same ratio (Like 6:8:10) is always a right triangle

Answer:

$20

Step-by-step explanation:

New shoes = $80

What Ellie Saved = $60

80 - 60 = 20

To make sure this is correct simply add 20 to 60.

60 + 20 = 80

Answer:

6 and 3

Step-by-step explanation:

let x and y be the 2 numbers with x > y , then

2x + 3y = 21 → (1)

x - y = 3 → (2)

Multiplying (2) by 3 and adding the result to (1) will eliminate y

3x - 3y = 9 → (3)

Add (1) and (3) term by term to eliminate y

5x = 30 ( divide both sides by 5 )

x = 6

Substitute x = 6 into either of the 2 equations and solve for y

Substituting into (1)

2(6) + 3y = 21

12 + 3y = 21 ( subtract 12 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

The 2 numbers are 6 and 3

Answer:

2.23

Step-by-step explanation:

Answer:

$3.60

Step-by-step explanation:

8 apples × 150 grams

1200 grams

1 kilogram = 1000 grams

x. = 1200 grams

X = 1.2 kg

1kg = $3.00

1.2kg =$3.6

The cost of 8 apples that have weight 1.2 kilograms is,

⇒ $3.60

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Amy buys eight apples that each weigh 150 grams.

And, She notices that they are on sale for $3.00 per kilogram.

Now,

Total weight of the apples is,

⇒ 8 × 150 grams

⇒ 1200 grams

⇒ 1.2 kilograms

Since, She notices that they are on sale for $3.00 per kilogram.

Hence, The cost of 8 apples that have weight 1.2 kilograms is,

⇒ $3.00 × 1.2

⇒ $3.60

Thus, The cost of 8 apples that have weight 1.2 kilograms is,

⇒ $3.60

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Answer:

x=9

Step-by-step explanation:

Use the intersecting chord theorem:

RE*ET = UE*ES

Substitute values

21 (2x+2) = 30 (x+5)

Expand:

42x+42 = 30x + 150

transpose and simplify

42x-30x = 150 - 42

12x = 108

x = 9

Answer:

{x:x is having odd number}

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{-\dfrac{c}{2}+43=50}[/tex]

[tex]\large\text{SUBTRACT 43 to BOTH SIDES}[/tex]

[tex]\mathsf{-\dfrac{c}{2}+43-43=50-43}[/tex]

[tex]\large\textsf{CANCEL out: 43 - 43 because that gives you 0}[/tex]

[tex]\large\textsf{KEEP: 50 - 43 because it helps solve for the c-value}[/tex]

[tex]\mathsf{50 - 43 = \bf 7}[/tex]

[tex]\large\text{NEW EQUATION: }\mathsf{-\dfrac{c}{2}=7}[/tex]

[tex]\large\textsf{MULTIPLY }\mathsf{\dfrac{2}{-1}}\large\textsf{ to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{2}{-1}\times-\dfrac{c}{2}= \dfrac{2}{-1}\times7}[/tex]

[tex]\large\textsf{CANCEL out: your RIGHT SIDE of the equation because that gives}\\\large\textsf{you 1}[/tex]

[tex]\large\textsf{KEEP: }\mathsf{\dfrac{2}{-1}\times7}\large\textsf{ because that helps solve for the c-value}[/tex]

[tex]\uparrow\large\text{SIMPLIFY THE EQUATION ABOVE \& YOU HAVE YOUR}\\\large\text{C-VALUE}\uparrow[/tex]

[tex]\boxed{\boxed{\large\text{ANSWER: \huge\bf c = -14}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Hello !

Answer:

[tex] \boxed{\sf c= -14} [/tex]

Step-by-step explanation:

We will try to find the value of c that satisfies the equality.

Given equation:

[tex] \sf -\dfrac{c}{2} + 43 = 50 [/tex]

Subtract 43 from both sides:

[tex] \sf -\dfrac{c}{2} + 43 - 43 = 50 - 43 \ \sf -\dfrac{c}{2} = 7 [/tex]

Multiply both sides by -2:

[tex] \sf -\dfrac{c}{2} \times (-2) = 7 \times (-2) \ \ \implies \boxed{\sf c = -14} [/tex]

Have a nice day ;)

Answer:

vertex = (2, 264)

Step-by-step explanation:

i just used desmos so um yeah im sorry

Answer:

1. A

2. B

3. B

4. C

5. A

Step-by-step explanation:

1. Data: is referred to as the collection of facts such as values and measurement. It include but isn't limited to attributes, names, fields and definitions that are being used in a computer database system.

2. Quantitative: this nature of data can be classified as discrete or continuous data. It is typically based on numerical values such as mathematical or statistical analysis of data gathered or collected from various sources e.g questionnaires, polls, surveys etc.

3. Sample: it is a sub-collection of elements coming from a certain population. Sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

4. Black, blue, yellow, and red are examples of what qualitative data according to its nature. It includes variables that are non-numerical in nature i.e they are categorical. For example, the color of a car, gender, shapes etc.

5. Juan conducted his research using a survey method because he created a questionnaire so as to gather data from his participants.

Answer:

c=26

Step-by-step explanation:

10^2 + 24^2=c^2

100+576=c^2

676=c^2

c=26

Hope I helped, have a nice day :)

Answer:

The Answer is 26

Step-by-step explanation:

to find the hypothenuse you need to use this formula a²+b²=c² so 10x10 is 100 and 24x24 is 576. Add those up and find the square root. √676 is 26.

Hope this Helped

Answer:

2/3*22/7*r^3=231.6

2/3*22/7=2.0952

2.0952*r^3=231.6

r^3=231.6/2.0952

r^3=

Step-by-step explanation:

2/3*22/7*r^3=231.6

2.0952r^3=231.6

r^3=110.5384

cuberoot 110.5384

=4.7992

Answer:

16,734.06 ft2

Step-by-step explanation:

A = 2pir

A = 2 x pi x 73

A = 16741.5 ft2

Answer:

60

Step-by-step explanation:

First, divide 120 by two and get 60. Now do 120-60 to get 60. Set up proportion

60/x = x/60.

Cross multiply

x^2 = 3600

and now find the square root of 3600

60

Answer:

how much time did it take him???????

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

40-32=8

8/40=20%

This is what I think I hope it helps If right mark me brainliest If wrong tell me and I will figure out another answer.

Answer:

32 are eaten so we need to eliminate that from the total pieces.

40 - 32 = 8 are not eaten YET

8/40 since there are 8 out of 40(in total) that are not eaten

Now we need to convert 8/40 into a percent which means we multiply by a 100 to get 20%.

Brainliest is appreciated.

Answer:

No

Step-by-step explanation:

x + y ≤ 18

x ≥ 6

(5,8)

The second inequality states that x must be greater than or equal to 6, but x =5 so it is not a solution

Answer:

1 17\43

Step-by-step explanation:

I did the math... i should be right...