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RideAnS [48]
2 years ago
8

How many two-digit numbers can be formed

Mathematics
2 answers:
statuscvo [17]2 years ago
6 0

Answer:

16 is How many two-digit numbers can be formed

using only the numbers 0, 1, 2, 3, or 4 without

repeat?

Step-by-step explanation:

Because all the two-digit number that can be formed is 10, 12, 13, 14, 20, 30, 40, 43, 42, 41, 34, 32, 31, 24, 23, 21

Alexandra [31]2 years ago
5 0
You can make a total of 16
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Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were millio
JulijaS [17]

Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

Initial =1\ million

6\ years\ later = 500,000

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:

\frac{dA}{dt} = kA

Where k represents the constant of proportionality

\frac{dA}{dt} = kA

Multiply both sides by dt/A

\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}

\frac{dA}{A}  = k\ dt

Integrate both sides

\int\ {\frac{dA}{A}  = \int\ {k\ dt}

ln\ A = kt + lnC

Make A, the subject

A = Ce^{kt}

t = 0\ when\ A =1\ million i.e. At initial

So, we have:

A = Ce^{kt}

1000000 = Ce^{k*0}

1000000 = Ce^{0}

1000000 = C*1

1000000 = C

C =1000000

Substitute C =1000000 in A = Ce^{kt}

A = 1000000e^{kt}

To solve for k;

6\ years\ later = 500,000

i.e.

t = 6\ A = 500000

So:

500000= 1000000e^{k*6}

Divide both sides by 1000000

0.5= e^{k*6}

Take natural logarithm (ln) of both sides

ln(0.5) = ln(e^{k*6})

ln(0.5) = k*6

Solve for k

k = \frac{ln(0.5)}{6}

k = \frac{-0.693}{6}

k = -0.1155

Recall that:

\frac{dA}{dt} = kA

Where

\frac{dA}{dt} = Rate

So, when

A = 600000

The rate is:

\frac{dA}{dt} = -0.1155 * 600000

\frac{dA}{dt} = -69300

<em>Hence, the amount of oil was decreasing at 69300 barrels, yearly</em>

7 0
2 years ago
A​ 1-ounce serving of cream cheese contains 7.6 grams of saturated fat. How much saturated fat is in 4 ounces of cream​ cheese?
KonstantinChe [14]
7.6 grams of saturated fat times 4 Ounces
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4 0
3 years ago
Circle D was dialated to form circle D'. The diameter of circle D is 5 units and the diameter of circle D' is 15 units. What is
Sphinxa [80]

Answer:

Let A1 be original area

A2 dilated Area

A1=pi*d^2/4

=3.143*5^2/4

A1=19.63 unit square

A2= 3.143*15/4

A2=176.74 unit square

A2 is 9 times greater than A1

Hence the answer is B

Step-by-step explanation:

3 0
2 years ago
I don't understand this question: 798 ,054 = 700,0000 +--------+------+50+4
ella [17]

798054=700000+<u>90000</u>+<u>8000</u>+50+4

Hope it helps. Please do comment

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If a cheetah can travel 65 miles in 1 hour, how many minutes will it take the cheetah to travel 260 miles? (please show steps!)
lilavasa [31]
I hope this helps you

4 0
2 years ago
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