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Len [333]
3 years ago
7

Which of the four is it? ​

Mathematics
1 answer:
Anna11 [10]3 years ago
6 0

Answer:

option 1 i believe

Step-by-step explanation:

just worked it out

i hope this is right and helps <3

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Initially, there are 40 grams of A and 50 grams of B, and for each gram of B, 2 grams of A is used. It is observed that 15 grams
hram777 [196]

Answer:

X(16)=25.71grams

Step-by-step explanation:

let X(t) denote grams of C formed in  t mins.

For X grams of C we have:

\frac{2}{3}Xg of A and \frac{1}{3}Xg of B

Amounts of A,B remaining at any given time is expressed as:

40-\frac{2}{3}Xg of A and  50-\frac{1}{3}Xg  of B

Rate at which C is formed satisfies:

\frac{dX}{dt} \infty(40-\frac{2}{3}X)(50-\frac{1}{3}X)->\frac{dX}{dt}=k(90-X)\\\therefore \frac{dX}{(90-X)^2}=kdt->\int{\frac{dX}{(90-X)^2}} \, =\int {k} \, dt  \\\therefore \frac{1}{90-X}=kt+c->90-X=\frac{1}{kt+c}\\\\X(t)=90-\frac{1}{kt+c}

Apply the initial condition,X(0)=0 ,to the expression above

0=90-\frac{1}{c} \ \ ->c=\frac{1}{90}\\\therefore\\X(t)=90-\frac{1}{kt+\frac{1}{90}} \ \ ->X(t)=90-\frac{90}{90kt+c}

Now at X(8)=15:

15=90-\frac{90}{90\times 8k+1}  \ ->75=\frac{90}{720k+1}\\k=0.0002778

Substitute  in X(t) to get

X(t)=90-\frac{90}{0.0002778t\times 90+1}\\X(t)=90-\frac{90}{0.25t+1}\\But \ t=16\\\therefore X(t)=90-\frac{90}{0.025\times16+1}\\X(t)=25.71

5 0
3 years ago
PLS HELP I WILL GIVE YOU BRAINLY IF YOUR THE FIRST WHO ANSWERS!!!
Alex73 [517]

Answer:

i think an right angle

Step-by-step explanation:

7 0
3 years ago
What is the square root of 1/25
wolverine [178]
First simplify the square root of 1/25

-√1/25

Rewrite using the quote by rule for radicals.

-√1/√25

Any root of 1 is 1

-1/√25

Simplify the denominator. (find the square root of 25)

-1/5

The result can be shown in both exact and decimal forms.
Exact form: -1/5
Decimal form: -0.2

6 0
3 years ago
What fraction is equal to 0.997
LuckyWell [14K]

Answer:

997/100

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
You go to the electronics store to buy 3 CDs. Each CD's original cost is $9.99. You have a coupon for 10% off and the sales tax
Afina-wow [57]

Answer:

$28.77

Step-by-step explanation:

What you do is the coupon for 10% off first which equaled 2.997, but you have to round to $3.00.

You minus 3*9.99 which equals $29.97 and $3.00 to get $26.97.

You then times $29.97 by 6% to get 1.80.

You then add it to $26.97.

You get $28.77.

6 0
3 years ago
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