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Mama L [17]
3 years ago
9

What is the value of 6 r + 6 − 4 s , when r = 7 and s = 3 ?

Mathematics
2 answers:
dybincka [34]3 years ago
8 0

\huge\text{Hey there!}

\large\textsf{6r + 6 - 4s}

\large\text{If r = 7 & s = 3, then SUBSTITUTE it into the EQUATION}

\large\textsf{6(\underline{7}) + 6 - 4(\underline{3})}

\large\textsf{6(7) = \bf 42}

\large\textsf{\bf 42}\large\textsf{ + 6 - 4(3)}

\large\textsf{42 + 6 = \bf 48}

\large\text{\bf 48}\large\text{ - 4(3)}

\large\textsf{4(3) = \bf 12}

\large\textsf{48 - \bf 12}

\large\textsf{= \bf 36}

\boxed{\boxed{\large\text{Answer: \textsf{\huge \bf 36}}}}\huge\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

strojnjashka [21]3 years ago
3 0

Answer:

36

Step-by-step explanation:

6r + 6 - 4s

r = 7

s = 3

6(7) + 6 - 4(3)

42 + 6 - 12

(remember PEMDAS, adding/subtracting left to right)

48 - 12 = 36

therefore the answer is 36

hope this helps ! :)

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Molecules of a toxic chemical eventually decompose into inert substances. Suppose the decomposition time is exponentially distri
koban [17]

Answer:

a) 4.16 years

b) 27.73 years

c) 238.44 years

d) 3,870.53 years

Step-by-step explanation:

Let X be the random variable that measures the decomposition time.

a)

\bf \lambda =6

In this case, since the decomposition time is exponentially distributed with a mean of 1/6, we have

\bf P(X\leq t)=1-e^{-t/6}\Rightarrow P(X>t)=1-(1-e^{-t/6})=e^{-t/6}

and we must find a t such that P(x>t)=0.5.

\bf P(X>t)=0.5\Rightarrow e^{-t/6}=0.5\Rightarrow -t/6=ln(0.5)\Rightarrow t=-6ln(0.5)=4.16\;years

b)

\bf \lambda =40

\bf P(X>t)=0.5\Rightarrow e^{-t/40}=0.5\Rightarrow -t/40=ln(0.5)\Rightarrow t=-40ln(0.5)=27.73\;years

c)

\bf \lambda =344

\bf P(X>t)=0.5\Rightarrow e^{-t/344}=0.5\Rightarrow -t/344=ln(0.5)\Rightarrow t=-344ln(0.5)=238.44\;years

d)

\bf \lambda =5584

\bf P(X>t)=0.5\Rightarrow e^{-t/5584}=0.5\Rightarrow -t/5584=ln(0.5)\Rightarrow t=-5584ln(0.5)=3870.53\;years

5 0
4 years ago
What is 414 divided by 15? SHOW YOUR WORK!!
mel-nik [20]

Answer:

the answer would be 27.6.

Step-by-step explanation:

sorry for the horrible handwriting, hopefully u can understand this!!

3 0
3 years ago
Discrete mathematics (Show your work)
UkoKoshka [18]

Answer:

  110011

Step-by-step explanation:

The tedious way to do this is to divide by 2 until the quotient is 0, noting remainders at each step:

  • 51/2 = 25 r 1
  • 25/2 = 12 r 1
  • 12/2 = 6 r 0
  • 6/2 = 3 r 0
  • 3/2 = 1 r 1
  • 1/2 = 0 r 1

Taken from bottom to top, the list of remainders comprises the binary number: 110011.

___

Alternatively, you can convert the number to hexadecimal (base-16) or octal (base-8), then make the simple conversions from those digits to binary. In octal, we have ...

  • 51/8 = 6 r 3
  • 6/8 = 0 r 6

Then the number in octal is 51 = 63₈. Your familiarity with binary lets you write the binary number from memory, since you recall 6 = 110₂ and 3 = 011₂. Each octal digit must be expressed as three binary digits (or bits) in order to maintain appropriate place values.

That is, ...

  63₈ = 110011₂

_____

<em>Comment on octal-binary conversion</em>

The binary values of the digits 0-7 are ...

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Three binary bits can express numbers 0-7 as shown. So, using octal as an intermediate base in doing the conversion to binary lets you do the conversion 3 bits at a time, instead of one bit at a time.

Likewise, four binary bits can express numbers 0-15, so hexadecimal as an intermediate base lets you do the conversion 4 bits at a time: 51/16 = 3 r 3 ⇒ 0011 0011₂.

8 0
4 years ago
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iren [92.7K]
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80000/20=8000/2=4000

difffent powers of 10
7 0
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Write the equation of the line with slope -4/3 and y-intercept 2 in slope intercept form.​
SpyIntel [72]

Answer:

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Step-by-step explanation:

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  y = -4/3x + 2

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