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vodka [1.7K]
3 years ago
5

Given f(x)= a×e−bx , where a = 1 and b = 6,

Mathematics
1 answer:
krek1111 [17]3 years ago
8 0

Answer:

g(1) = -0.015                

Step-by-step explanation:

We are given he following in the question:

f(x) = ae^{-bx}

For  a = 1 and b = 6, we have,

f(x) = e^{-6x}

We have to find the the derivative of f(x) with respect to x.

g(x) = \dfrac{d(f(x))}{dx} = \dfrac{d(e^{-6x})}{dx}\\\\g(x) = -6e^{-6x}\\\\g(1) =  \dfrac{d(f(x))}{dx}\bigg|_{x=1} = -6e^{-6} = -0.015

Thus, g(1) = -0.015

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Chin canned a number of quart jars anf a number of pints jars of tomatoes from hid garden. A pint is 16 onces and a quart is 32
ryzh [129]

Answer:

The equation which models the scenario is:   16 p + 32 q  = 1280

Step-by-step explanation:

The total number of pints packed  = p

The total number of quarts  packed  = q

The weight of 1 pint jar of tomatoes  = 16 oz

So, the total weight of p pints  = p x ( Weight of 1 pint) = p x ( 16 oz) = 16 p

The weight of 1 quart jar of tomatoes  = 32 oz

So, the total weight of q quarts  = q x ( Weight of 1 quart) = q x ( 32 oz)

= 32 q

Now, the TOTAL WEIGHT of p pints and q quarts

= Total weight of { p pints +  q quarts}  = 16 p + 32 q

Also, chin canned a total of 1280 ounces.

⇒ TOTAL WEIGHT of p pints and q quarts = 1280 ounces

or,   16 p + 32 q  = 1280 ounces

Hence, equation which models the scenario is:   16 p + 32 q  = 1280

8 0
3 years ago
What is the answer to the problem
Tanya [424]

Answer:

a - 8

b - 20

c - 40

answer - 40% of 20 is 8

Step-by-step explanation:

20 x .4 = 8

.4 is found by the 40 / 100

8 0
3 years ago
Read 2 more answers
There is a bag filled with 4 blue and 5 red marbles.
kkurt [141]

Answer:

  • 5/9

Step-by-step explanation:

There are 4 blue, 5 red and total of 9 marbles.

<u>If two marbles are taken and we are looking for exactly one red, then it is:</u>

  • red, then blue or blue, then red

<u>Find the probability of each case:</u>

  • P(r, b) = 5/9*4/8 = 5/18
  • P(b, r) = 4/9*5/8 = 5/18

<u>Probability of exactly one red:</u>

  • P = 5/18*2 = 5/9
6 0
3 years ago
The Brown family bought 9 bags of cookies. Each bag had 16 cookies. They have since eaten 26 of the cookies. How many cookies do
grigory [225]

Answer:

118 cookies

Step-by-step explanation:

1. 9x 16  

2.144-26

And then get 118! Have a nice day YW!!!!!???

3 0
2 years ago
SWEET T HAS 2 ORANGE PICKS FOR EVERY 5 GREEN. IF THERE ARE 21 PICKS IN ALL, HOW MANY PICKS ARE ORANGE?
IrinaVladis [17]

Answer:

For 21 picks, there are 6 orange

Step-by-step explanation:

orange: green   : total

2               5            2+5

2             5              7


If there are 21 picks, we need to divide by 7  to see how many times we need to multiply

21/7 = 3

Multiply everything by 3

orange: green   : total

2*3          5*3          7*3

6                 15           21

For 21 picks, there are 6 orange

6 0
3 years ago
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