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Dahasolnce [82]
3 years ago
12

Solve the following sub 1) find the value of p,ifp +5=3

Mathematics
1 answer:
bezimeni [28]3 years ago
8 0

Answer:

p+5=3

or,p=3-5

or,p=-2

the value of p=-2

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Plz help ASAP matswatch
vaieri [72.5K]

Answer:

Step-by-step explanation:

4 0
3 years ago
One hundred grams of radium are stored in a container. The amount RR (in grams) of radium present after tt years can be modeled
drek231 [11]

Answer:

6967 years

Step-by-step explanation:

Given the exponential function :

R=100e−0.00043t

Time = t in years

R = final amount

Number of years in which only 5 grams of radium will be present :

R = 5

Plugging into our formula :

5 = 100 * e^−0.00043t

5 / 100 = e^−0.00043t

0.05 = e^−0.00043t

Take the In of both sides

−2.995732 = - 0.00043t

t = −2.995732 / - 0.00043t

t = 6966.819

t = 6966.819 years

t = about 6967 years

8 0
2 years ago
Suppose we want to choose 4 colors, without replacement, from 18 distinct colors.
amm1812

Answers:

  • (a) 73440
  • (b)  3060

=====================================================

Explanation for part (a)

Consider four slots labeled A,B,C,D.

We have

  • 18 choices for slot A
  • 17 choices for slot B
  • 16 choices for slot C
  • 15 choices for slot D

We started at 18 and counted down until we filled the four slots. The countdown is because we cannot repeat a color. Multiply out those values to get the answer: 18*17*16*15 = 73440

You can use the nPr permutation formula as an alternative method

_nP_r = \frac{n!}{(n-r)!}

in this case n = 18 and r = 4. The exclamation marks indicate factorial.

-----------------------------------

Explanation for part (b)

Let's say we had color labels A,B,C,... all the way up to R which is the 18th letter in the English alphabet. From those 18 letters, we can only pick four. Let's say we pick D,E,F,G.

Focusing solely on the set {D,E,F,G}, we only have one set and the order doesn't matter. So {D,E,F,G} is the same as {D,E,G,F}.

There are 4*3*2*1 = 24 ways to arrange those four items meaning that we'll need to divide the result of part (a) by 24 to get the result of part (b)

73440/24 = 3060

You could use the nCr combination formula to get the same result

_nC_r = \frac{n!}{r!(n-r)!}

where n = 18 and r = 4 are the same from last time.

The connection between nPr and nCr is this

_nC_r = \frac{_nP_r}{r!}

which can be rearranged into

_nP_r = r!*\left( _nC_r \right)

these formulas are handy to help us go back and forth between nCr or nPr.

8 0
3 years ago
Assume the amount you can spend on car payments is 50% of your monthly surplus.
nikdorinn [45]
773.77*0.5=386.88 hope i helped
4 0
3 years ago
What is the classification for this polynomial?<br> u^2 v^3 w
andrew11 [14]

Answer:

A...

Step-by-step explanation:

Not completely sure. :<

5 0
2 years ago
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