PLZ ANSWERE QUICKLY​

Answer:

The gas pump filling the gallons in 1 minute will be: 15

Step-by-step explanation:

As there are 60 seconds in 1 minute.

Thus,

Gas pump filling the gallons in 1 minute will be:

[tex]60\:\times 2^{-2}[/tex]

[tex]=60\times \frac{1}{2^2}[/tex]             ∵ [tex]a^{-b}=\frac{1}{a^b}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}[/tex]

[tex]=\frac{1\times \:60}{2^2}[/tex]

[tex]=\frac{60}{2^2}[/tex]

[tex]=\frac{2^2\times \:3\times \:5}{2^2}[/tex]

[tex]=3\times \:5[/tex]

[tex]=15[/tex] gallons in one minute

Therefore, the gas pump filling the gallons in 1 minute will be: 15

Answer:

28%

Step-by-step explanation:

hope this helps, have a good day

Answer:

The price of a burger is $4 and that of cone is $1.

Step-by-step explanation:

Let the cost of burger is x and that of cone is y.

ATQ,

3x+5y = 17 ....(1)

And

6x + 9y = 33 ...(2)

Multiply equation (1) by 2.

6x + 10 y = 34 ...(3)

Subtract equation (2) from (3)

6x + 10 y-(6x + 9y) = 34 - 33

6x + 10 y-6x- 9y = 1

y = 1

Put the value of y in equation (1)

3x+5 = 17

3x = 12

x = 4

So, the price of a burger is $4 and that of the cone is $1.

Answer:

a. The number of units which will minimize average cost is approximately 5,130 units.

b. The firm should produce 12,500 items, x, for maximum profit.

c. The number of items, x, that will produce a maximum profit is 60 items.

Step-by-step explanation:

Note: This question is not complete as there are some signs are omitted there. The complete question is therefore provided before answering the question as follows:

1. If the total cost function for a product is C(x) = 200(0.02x + 6)^3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost?

2. A firm can produce only 3900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total venue is given by R(x) = 450x-1/100x^2 dollars, how many items, x, should the firm produce for maximum profit?

3. If the profit function for a product is P(x) = 3600x + 60x2 - x3 - 72,000 dollars, selling how many items, x, will produce a maximum profit?

The explanation to the answer is now given as follows:

1. If the total cost function for a product is C(x) = 200(0.02x + 6)3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost?

Given;

C(x) = 200(0.02x + 6)^3 ……………………………………….. (1)

We first simplify (0.02x + 6)^3 as follows:

(0.02x + 6)^3 = (0.02x + 6)(0.02x + 6)(0.02x + 6)

First, we have:

(0.02x + 6)(0.02x + 6) = 0.004x^2 + 0.12x + 0.12x + 36 = 0.004x^2 + 0.24x + 36

Second, we have:

(0.02x + 6)^3 = 0.004x^2 + 0.24x + 36(0.02x + 6)

(0.02x + 6)^3 = 0.00008x^3 + 0.048x^2 + 7.20x + 0.0024x^2 + 1.44x + 216

(0.02x + 6)^3 = 0.00008x^3 + 0.048x^2 + 0.0024x^2 + 7.20x + 1.44x + 216

(0.02x + 6)^3 = 0.00008x^3 + 0.0504x^2 + 8.64x + 216

Therefore, we have:

C(x) = 200(0.02x + 6)^3 = 200(0.00008x^3 + 0.0504x^2 + 8.64x + 216)

C(x) = 0.016x^3 + 10.08x^2 + 1,728x + 43,200

Therefore, the average cost (AC) can be calculated as follows:

AC(x) = C(x) / x = (0.016x^3 + 10.08x^2 + 1,728x + 43,200) / x

AC(x) = (0.016x^3 + 10.08x^2 + 1,728x + 43,200)x^(-1)

AC(x) = 0.016x^2 + 10.08x + 1,728 + 43,200x^(-1) …………………………. (2)

Taking the derivative of equation (2) with respect to x, equating to 0 and solve for x, we have:

0.032x + 10.08 - (43,300 / x^2) = 0

0.032x + 10.08 = 43,300 / x^2

X^2 * 0.32x = 43,300 – 10.08

0.32x^3 = 43,189.92

x^3 = 43,189.92 / 0.32

x^3 = 134,968.50

x = 134,968.50^(1/3)

x = 51.30

Since it is stated in the question that x represents the number of hundreds of units produced, we simply multiply by 100 as follows:

x = 51.30 * 100 = 5,130

Therefore, the number of units which will minimize average cost is approximately 5,130 units.

2. A firm can produce only 3900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total revenue is given by R(x) = 450x-1/100x^2 dollars, how many items, x, should the firm produce for maximum profit?

P(x) = R(x) - C(x) ……………. (3)

Where;

P(x) = Profit = ?

R(x) = 450x-1/100x^2

C(x) = 500 + 200x

Substituting the equations into equation (3), we have:

P(x) = 450x - 1/100x^2 - (500 + 200x)

P(x) = 450x - 0.01x^2 - 500 - 200x

P(x) = 450x - 200x - 0.01x^2 - 500

P(x) = 250x - 0.01x^2 – 500 …………………………………. (4)

Taking the derivative of equation (4) with respect to x, equating to 0 and solve for x, we have:

250 - 0.02x = 0

250 = 0.02x

x = 250 / 0.02

x = 12,500 items

Therefore, the firm should produce 12,500 items, x, for maximum profit.

3. If the profit function for a product is P(x) = 3600x + 60x2 – x^3 - 72,000 dollars, selling how many items, x, will produce a maximum profit?

Given;

P(x) = 3600x + 60x2 – x^3 - 72,000 …………………………. (5)

Taking the derivative of equation (5) with respect to x, equating to 0 and solve for x, we have:

3600 + 120x - 3x^2 = 0

Divide through by 3, we have:

1200 + 40x – x^2 = 0

1200 + 60x – 20x – x^2 = 0

60(20 + x) – x(20 + x) = 0

(60 – x)(20 + x) = 0

Therefore,

x = 60, or x = - 20

The negative value of x (i.e. x = - 20) will be will be ignored because it has no economic significance. Therefore, the number of items, x, that will produce a maximum profit is 60 items.

Answer:

A.

Step-by-step explanation:

In a Linear Function, the changes between x and y should remain constant.

A: x increases by 2 while y increases by 2 steadily so it is a linear function.

B: x increases by 1 and then zooms up to increasing in double (2) while y increases by 2 and then zooms up to increasing to more than double (5) so B is not a linear function.

C: x increases by 3, then one-third of 3 (1), then two-third of 3 (2). y decreases by 6, then one-third of 6 (2), then one-third (2) again when it should have decreased by two-third of 6 (4). Notice that the last decrease was different from x.

D: x increases by 6, then one-third of 6 (2), then half of 6 (3). y decreases by 3, then one-third of 3 (1), then two-third of 3 (2) when it should have decreased by half of 3 (1.5). Notice the last decrease was different from x.

Answer:

pick the answer a

Step-by-step explanation:

We want the maximun or minimum of [tex]g(x)=-4x^2+4x-2[/tex]

Firstly, notice that we have a leading coefficient of -4, wich means our parabola is concave down. Thus, our function will have a maximum.

To find what is the maximum, let's firstly find on wich value of x it happens. We'll start by taking the first derivative of the function:

[tex]g'(x)=-8x+4[/tex]

To find the extremes of the function, we just need to find where the derivative equals zero. Setting g'(x)=0 we have

[tex]0 = -8x+4\\8x=4\\x=\frac{1}{2}[/tex]

So we found that the x coordinate of the maximum is x=1/2. To find the y coordinate we just need to substitute the value of x into the original function.

[tex]g(1/2)=-4(1/2)^2+4(1/2)-2\\g(1/2)=-1+2-2\\g(1/2) = -1[/tex]

Therefore, the maximum point [tex]M[/tex] of the function is

[tex]\boxed{M=(0.5,-1)}[/tex]

 Glad to help! Wish you great studies.

If you found this helpful consider giving this answer brainliest ;)

Answer:

2.85 x 2 is equal to 5.7 so that should be the answer

Step-by-step explanation:

Did it on calculator sorry if wrong lol

Answer:

$5.70

Step-by-step explanation:

6 muffins is half a dozen, so double $2.85 and you get $5.70.

Answer:

44.08 or 44.1

Step-by-step explanation:

OK so the basics of this question is that for every 45 feet of the actual skyscraper we have 2 inches in the model. The first thing we do is divide 992/45 which equals 22.04. Know if this was 1 inch for every 45 feet we would be done however we need to multiply this number by 2 to get our answer so 22.04*2 =44.08

Answer:

uhhh 21

Step-by-step explanation:

19

Answer:

112

Step-by-step explanation:

16 ounce multiply that by 7. 112. This correct i googed it

Answer:

A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.

Speed = distance / time

Distance = speed × time

Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be

4 × 63 = 252 kilometers.

if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be

Time = distance / speed

= 252/56 = 4.5 hours

The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.

Let speed = s and let time = t

s varies inversely with t

Introducing constant of inverse variation k, it becomes

s = k/t

When s = 56, t = 4.5

56 = k/4.5

k = 4.5 × 56 =252

This is the distance

Step-by-step explanation:

Answer:

June 26th

Step-by-step explanation:

(-2,-2) is the answer .............

Answer:

The probability of not picking a pink jelly bean: 11/15    

Step-by-step explanation:

As we know that the maximum value of the probability of an event would always be 1.

Given that the probability of picking a pink jelly bean out of a bag is 4/15.

Thus, the probability of not picking a pink jelly bean can be calculated by subtracting 4/15 from the maximum probability '1'.

i.e.

Probability of not picking a pink jelly bean = max probability - 4/15

                                                                       = 1 - 4/15

                                                                      = 11/15

Therefore, the probability of not picking a pink jelly bean: 11/15                                                                    

Answer:

x int= -4 y int= 1

Step-by-step explanation:

intercepts refer to the place on the each axis where the line passes through

Answer:

[tex]\huge\boxed{\sf Reduces}[/tex]

Step-by-step explanation:

Since the scale factor of 0.75 is less than 1, So the dilated image is a reduced image.

Thus the scale factor of 0.75 reduces the dilated image.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

-it reduces-

Step-by-step explanation:

good luck:)

Answer:

[tex]y \geqslant 2[/tex]

Step-by-step explanation:

1. Add 14 to both sides.

[tex]14y \geqslant 28[/tex]

2. Divide both sides by 14.

[tex]y \geqslant 2[/tex]

Answer:

Step-by-step explanation:

The total number of workers is our unknown. If 40% of this unknown number are women and the number of women is 1380, then the equation looks like this:

(remember that the word "of" generally means to multiply)

(also remember that we have to use the decimal form of a percent in an equation)

.40(x) = 1380 then divide to get the number of total workers:

x = 3450

Answer: x2−6x−119

Step-by-step explanation:

provided in the screenshot below

Answer:

B

Step-by-step explanation:

Statistical inference is the process of making use of analytics to determine the characteristics of a population using its sample.

The two types of statistical inference are:

Answer:

60ft

Step-by-step explanation:

        multiple the length by 2

15 times two equals 30

       multiple the width by two

15 times two equals 30

       add the total lengths and widths

30 plus 30 equals 60

ans=60

D. 7 miles

Step-by-step explanation:

26.5/4 =6.62

So the best estimate is 7 miles

Answer:

D

Step-by-step explanation:

We know that MRT = 133 which means that is the total. Angle MRN and NRT are what makes the total angle which is 133. To find what each angle is individually, we can add them both together.

(2g - 2) + (4q - 9) = 133

6q - 11 = 133

6q = 144

q = 24

Best of Luck!

D. (2g - 2)+(4g -9) = 133

Because,

Given, angle MRT = 133°

and MRN = 2g - 2 °

and NRT = 4g - 9°

and MRT = MRN + NRT .........(equation (i))

Placing values in equation (i) we get,

133° = (2g - 2)° + (4g - 9)°

=> 133 = (2g - 2) + (4g - 9)

=> (2g - 2) + (4g - 9) = 133

Answer:

1 hour sorry if wrong

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

17*200/17+83

Step-by-step explanation:

Points A and B are 200 mi apart. A cyclist started from point A and a motorcyclist started from point B, moving towards each other. The speed of the cyclist was 17 mph, the speed of motorcyclist was 83 mph. At what distance from point A will they meet?

The distance under the question is 17*200/17+83= 17*2 = 34 miles.

17+83 = 100 mph in the denominator is the relative speed of the participants,  the rate of decreasing the distance between them.

200/17+83=200/100= 2 hours is the time before they meet.

therefore  17*200/17+83 is the time before they meet

Answer:

8075.

Step-by-step explanation:

Volume of the prism

= 12 1/2 * 8 1/2 * 9  1/2

= 25/2 * 17 / 2 * 19/2

= 8075/8 cm^3

The volume of the small cubes = (1/2)^3 = 1/8 cm^3

So the number required = 8075 / 8   /  1/8

= 8075*8 / 8

= 8075.

Answer:

A-1/P=n

Step-by-step explanation:

step 1. look at the parentheses and use inverse operations on both sides

A=P(1+n)

-1       -1

step 2. divide both sides by P

A-1=P(n)

/P    /P

n= A-1/P

The value of n on solving the equation A = P (1 + n) is A / P - 1.

An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.

Given:

A = P (1 + n),

Here we can solve the parentheses by using the distributive property as shown below,

A = P × 1 + P × n

A = P + nP

Transform as shown below,

nP = A - P

n = (A - P) / P

n = A / P - 1

Thus, the value of n is A / P - 1.

To know more about equation:

https://brainly.com/question/12788590

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