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8090 [49]
3 years ago
7

-7 + 9(2d - 3w) use w = 5 and d = 2

Mathematics
1 answer:
WITCHER [35]3 years ago
3 0

Answer:

-106

Step-by-step explanation:

- 7 + 9(2d - 3w)  \\ w = 5 \\ d = 2

Substitute the given values for w and d into the equation.

- 7 + 9(2(2) - 3(5)) \\

Follow the PEDMAS order of operation

- 7 + 9(4 - 15) \\  - 7 + 9( - 11) \\  =  - 7 + ( - 99) \\  =  - 7 - 99  =  - 106

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grandymaker [24]
A.) P(t) = P0exp(kt)
P(20/60) = 40 exp(20k/60)
80 = 40 exp(k/3)
exp(k/3) = 80/40 = 2
k/3 = ln(2)
k = 3ln(2)

b.) P(8) = 40(2)^24 = 40(16777216) = 671088640 cells

d.) Rate of change = exp(8k) = exp(8(3ln(2)) = exp(24ln(2)) = exp(16.6355) = 16777216 cells / hour

e.) P(t) = 40(2)^3t; t in hours
1,000,000 = 40(8)^t
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ln(25,000) = t ln(8)
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8 0
4 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%7B%7D%5E%7B2%7D%20-%204%20%7D%7B%20%5Csqrt%7Bx%20%7B%7D%5E%7B2%7D%20-%206x%2
Nimfa-mama [501]

First of all, we can observe that

x^2-6x+9 = (x-3)^2

So the expression becomes

\dfrac{x^2-4}{\sqrt{(x-3)^2}} = \dfrac{x^2-4}{|x-3|}

This means that the expression is defined for every x\neq 3

Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask

x^2-4 \geq 0 \iff x\leq -2 \lor x\geq 2

Since we can't accept 3 as an answer, the actual solution set is

(-\infty,-2] \cup [2,3) \cup (3,\infty)

7 0
3 years ago
The machine bottled 8,000 bottles in 4 hours. if the rate of the machine were doubled, how long would it take the machine to bot
valina [46]
It would take 20 hours since 8,000 times 5 is 40,000 so 4 times 5 is 20.



Logic.
4 0
4 years ago
Residents of the town of Maple Grove who are connected to the municipal water supply are billed a fixed amount monthly plus a ch
Strike441 [17]

9514 1404 393

Answer:

  • $0.04 per cubic foot
  • c(w) = 0.04w +80
  • 3400 cubic feet

Step-by-step explanation:

(a, b) We are given two pairs of values:

 (w, c) = (1900, 156) and (2600, 184)

so we can write the equation of the relationship using the 2-point form of the equation of a line.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  c = (184 -156)/(2600 -1900)(w -1900) +156 . . . . . substitute given points

  c = 28/700(w -1900) +156

  c(w) = 0.04w +80

The charge per cubic foot is $0.04.

__

(c) For a bill of $216, the amount of water used is ...

  216 = 0.04w +80

  136 = 0.04w

  3400 = w

Use of 3400 cubic feet of water would lead to a bill of $216.

4 0
3 years ago
please help pleeeeeeeeeeeeeeeeeeeeeeaaaaaaaaaaaaaaaaaaaaaaaaaaaasssssssssssssssssssssssssseeeeeeeeeeeeeeeeeeeeeeee
Aloiza [94]

Answer:

3 minutes: 792

30 minutes: 7920

Step-by-step explanation:

Since 264 parts are made in one minute you can multiply 264 with 3 for 3 minutes:

264 times 3 is 792

For 30 minutes, we can multiply 264 with 30:

264 times 30 is 7920

Hope this helps!

8 0
3 years ago
Read 2 more answers
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