A copy machine makes 24 copies per minute. How long does it take to make 84 coples?

Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

[tex]Initial =1\ million[/tex]

[tex]6\ years\ later = 500,000[/tex]

Required

At what rate did oil decrease when 600000 barrels remain

To do this, we make use of the following notations

t = Time

A = Amount left in the well

So:

[tex]\frac{dA}{dt} = kA[/tex]

Where k represents the constant of proportionality

[tex]\frac{dA}{dt} = kA[/tex]

Multiply both sides by dt/A

[tex]\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}[/tex]

[tex]\frac{dA}{A} = k\ dt[/tex]

Integrate both sides

[tex]\int\ {\frac{dA}{A} = \int\ {k\ dt}[/tex]

[tex]ln\ A = kt + lnC[/tex]

Make A, the subject

[tex]A = Ce^{kt}[/tex]

[tex]t = 0\ when\ A =1\ million[/tex] i.e. At initial

So, we have:

[tex]A = Ce^{kt}[/tex]

[tex]1000000 = Ce^{k*0}[/tex]

[tex]1000000 = Ce^{0}[/tex]

[tex]1000000 = C*1[/tex]

[tex]1000000 = C[/tex]

[tex]C =1000000[/tex]

Substitute [tex]C =1000000[/tex] in [tex]A = Ce^{kt}[/tex]

[tex]A = 1000000e^{kt}[/tex]

To solve for k;

[tex]6\ years\ later = 500,000[/tex]

i.e.

[tex]t = 6\ A = 500000[/tex]

So:

[tex]500000= 1000000e^{k*6}[/tex]

Divide both sides by 1000000

[tex]0.5= e^{k*6}[/tex]

Take natural logarithm (ln) of both sides

[tex]ln(0.5) = ln(e^{k*6})[/tex]

[tex]ln(0.5) = k*6[/tex]

Solve for k

[tex]k = \frac{ln(0.5)}{6}[/tex]

[tex]k = \frac{-0.693}{6}[/tex]

[tex]k = -0.1155[/tex]

Recall that:

[tex]\frac{dA}{dt} = kA[/tex]

Where

[tex]\frac{dA}{dt}[/tex] = Rate

So, when

[tex]A = 600000[/tex]

The rate is:

[tex]\frac{dA}{dt} = -0.1155 * 600000[/tex]

[tex]\frac{dA}{dt} = -69300[/tex]

Hence, the amount of oil was decreasing at 69300 barrels, yearly

Answer:

x=2

Step-by-step explanation:

x+19=21

subtract 19 so x can be by itself, move it to the 21 side

and subtract21-19=2

Answer:

You solve. for X. The photo is the work and answer

Answer:

66x40

Step-by-step explanation:

Answer:

x= 180 - (66+40)= 74

A is the correct answer

Or

Vertex = (-5,-4), y-intercept = (0,21), x-intercepts = (-7,0) and (-3,0), axis of

symmetry is x = -5

Answer:

6i

Step-by-step explanation:

Answer:

X= 2.4

Step-by-step explanation:

x = k/y............eqn1

18= k/4

k= 18×4

k= 72

Using the first equation

x= 72/30

x= 2.4

Answer:

16 units

Step-by-step explanation:

We need to find the distance between (-4, 8) and (12, 8) on the coordinate plane.

We know that the distance between two points on the coordinate plane is given by :

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Put x₁ = -4, x₂ = 12, y₁ = 8 and y₂ = 8

So,

[tex]D=\sqrt{(12-(-4))^2+(8-8)^2}\\\\=16\ units[/tex]

So, the distance between the two points is equal to 16 units.

Answer:

688 people

Step-by-step explanation:

Answer:I cannot see photo

Answer: i think i got b or c onr of them are correct  :)

Step-by-step explanation:

The estimated population mean with

80% confidence =  [30.856, 33.135]

90% confidence = [30.543, 33.456]

98% confidence =  [29.94, 34.06]

For a population with unknown mean  and known standard deviation , a confidence interval for the population mean, based on a simple random sample of size n, is [tex]\bar x +_{-}z^{*}\frac{\sigma}{\sqrt{n} }[/tex] , where z* is the upper (1-C)/2 critical value for the standard normal distribution.

Population standard deviation = 5.6

Sample mean = 32

Sample size = 40

Given confidence level = 80%

[tex]z^{*}[/tex] at 80% confidence level = 1.28

Upper confidence interval = 33.135

Lower confidence interval = 30.865

Population mean lies between [30.856, 33.135] at 80% confidence level.

Given confidence level = 90%

[tex]z^{*}[/tex] at 90% confidence level = 1.65

Upper confidence interval =33.456

Lower confidence interval = 30.543

Population mean lies between [30.543, 33.456] at 90% confidence level.

Given confidence level = 98%

[tex]z^{*}[/tex] at 98% confidence level = 1.65

Upper confidence interval = 34.06

Lower confidence interval = 29.94

Population mean lies between [29.94, 34.06] at 98% confidence level.

Learn more about confidence interval here

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Answer:

b

Step-by-step explanation:

Answer:

1&3 are wrong 4 and 2 are right

Step-by-step explanation:

may i be marked brainliest

Answer:

T = 4n - 5

Step-by-step explanation:

Ben = n

Chloe = 2n

Dan = n - 5

n + 2n + (n - 5) = T years

3n + n - 5 = T years

4n - 5 = T years

Answer:

man's age = 54

daughter's age = 18

Step-by-step explanation:

x = man's age

y = daughters age

x = 3y

x - y = 36

substitute for x:

3y -y = 36

2y = 36

y = 18

x = 54

If a man has a daughter who is three times his age. The father and daughter will be 54 and 18, respectively, assuming their ages are 36 years distant.

Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation. The two expressions on each side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation.

It is given that, A man is three times as old as his daughter. If the difference in their ages is 36 years,

We have to find the ages of the father and daughter.

Suppose the age of the father and daughter will be x and y respectively.

If the man is three times as old as his daughter,

x = 3y

If the difference in their ages is 36 years

x - y = 36

Put the value of x as,

3y -y = 36

2y = 36

y = 18

x = 54

Thus, if a man has a daughter who is three times his age. The father and daughter will be 54 and 18, respectively, assuming their ages are 36 years distant.

.Learn more about the equation here,

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Answer:12.5

Step-by-step explanation:

Answer:

12.5 pints

Step-by-step explanation:

I hope this helped

Since it's a cube all sizes are equal

13.5 X 13.5 x 13.5 =

2460.365 m3

Answer:

3.375m^3

Step-by-step explanation:

Given surface area

=13.5m^2

[tex]6a^{2} =13.5m^{2} \\\\a^{2} =\frac{13.5}{6} =2.25\\\\a=\sqrt{2.25}=1.5m\\\\a^{3} =(1.5)^{3} \\\\=3.375 m^{3}[/tex]

hope it helps...

have a great day!!

Answer:

145.0 cm^2

Step-by-step explanation:

Given data

r= 4cm

l= 5cm

h=??

Apply Pythagoras theorem to find h we have

h^2= 4^2+5^2

h^2= 16+25

h^2= 41

h=√41

h= 6.4cm

Substitute into the formula for the surface area of cone

A=πr(r+√h^2+r^2)

A=3.14*4(4+√6.4^2+4^2)

A=12.56(4+√40.96+16)

A=12.56(4+√56.96)

A=12.56(4+7.547)

A=12.56*11.547

A=145.0 cm^2

Answer:

1/216

Step-by-step explanation:

Answer:

Exact form = 1/216.

Decimal form = 0.004629

Answer:

The average yearly replacement cost is approximately $32,211,500

Step-by-step explanation:

 Exponential Distribution

P(X < x) = 1 - e -x/

[tex]P(X < x) = 1 - e^{\dfrac{-x}{\mu}}[/tex]

For the CPU, μ = 3 years

The probability that a CPU fails in less than 1 year is therefore;

P(C) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{3}} \approx 0.2835[/tex]

For the RAM, μ = 2 years

The probability that a RAM fails in less than 1 year is therefore;

P(R) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{2}} \approx 0.3935[/tex]

For the hard drive, μ = 5 years

The probability that a hard drive fails in less than 1 year is therefore;

P(H) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{5}} \approx 0.1813[/tex]

The probability that either a CPU, or a RAM or a hard drive fails in 1 year so that a replacement is required, P(C ∪ R ∪ H), is given as follows;

P(C ∪ R ∪ H) = P(C) + P(R) + P(H) - P(C∩R) - P(C∩H) - P(R∩H) + P(C∩R∩H)

∴ P(C ∪ R ∪ H) = 0.2835 + 0.3935 + 0.1813 - (0.2835 × 0.3935) - (0.2835 × 0.1813) -(0.3935 × 0.1813) + (0.2835 × 0.3935 × 0.1813) ≈ 0.64423

∴ P(C ∪ R ∪ H) ≈ 0.64423

There is a 0.64423 chance that a laptop will require replacement

For 100,000 laptops sold a year and a replacement cost of $500 per laptop, we have;

The average yearly replacement cost, 'Cost' is given as follows;

Cost = 500 × 100,000 × 0.64423 = 32,211,500

The average yearly replacement cost, Cost ≈ $32,211,500

Answer:

a ko ans

= 2×2+9

=4+9

= 13ans

Answer:

It would be A

Step-by-step explanation:

Answer:

Volume of a cylinder (V) : π x radius ² x height

V = 3.14 x 12² x 13

V = 5878.08 cubic millimeters.

Step-by-step explanation:

Answer: [tex]\sqrt{96}[/tex] or [tex]4\sqrt{6}[/tex], if you want the decimal form then its 9.79.

Step-by-step explanation:

14²-10²=96

[tex]\sqrt{96}[/tex] or [tex]4\sqrt{6}[/tex], if you want the decimal form then its 9.79.

9514 1404 393

Answer:

  1,953,125

Step-by-step explanation:

The first term is a1 = 5; the common ratio is r = -25/5 = -5. The generic term is ...

  an = a1×r^(n-1)

  an = 5×(-5)^(n-1)

So, the 9th term is ...

  a9 = 5×(-5)^(9-1) = 1,953,125

Answer:

B. 1/3

Step-by-step explanation:

If we take the fist two boxes on top of the grid, we can divide 7 1/2 by 2 1/2 to find the ratio. In this case, the ratio is 3, meaning that for every cup of sugar their is 3 cups of flour. This means that 1 cup of flour would equal 1/3 cups of sugar.

Answer:

[tex]3 \times 2 + 5 = 6 + 5 = 11[/tex]

Answer:

B) The cost of milk by the gallon.

C) The price of pears by the pound.

Step-by-step explanation:

A linear function is one that both the dependent and independent variables increases or decreases proportionally.

Thus from the given options:

i. If the gallons of milk increase, then the cost of milk also would increase proportionally. A decrease in the gallons of milk would also reduce the cost of milk.

ii. An increase in the pounds of the pearls would cause an increase in the price of the pearls. Also, a decrease in the pounds of pearls would reduce the price of the pearls.

Thus, the answers to the question are options B and C.

Answer:

The other guy is correct however he missed one

The Answer is actually A, B, C

Step-by-step explanation:

I took the test on Usa test prep.