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1 year ago

Give me full working and explanation and I give you stars. deal..?

Mathematics

1 answer:

skad [1K]1 year ago

4 0

Length: 44 metre

perimeter of rectangle = 2(length+breadth)

Here given,

length = L

breadth = 12 metre

perimeter = 112 metre

P = 2(L+B)

112 = 2(L+12)

12 + L = 112/2

L = 56 - 12

L = 44 m

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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

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

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2 years ago

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beks73 [17]

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Step-by-step explanation:

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2 years ago

What is the value of the exponential expression 36 1/2

garik1379 [7]

For this case we have an exponential expression of the form:
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We have then:
$\sqrt{36}$
From here, we take the square root of 36.
We have then:
$\sqrt{36} = 6$
Answer:
The exponential function is given by:
$36^{ \frac{1}{2}}=6$

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2 years ago

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5x + y = 6 5x + 3y = -4 The y-coordinate of the solution to the system shown is _____. -5 -1 1

anzhelika [568]

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3 years ago

Give me full working and explanation and I give you stars. deal..?​​

Give me full working and explanation and I give you stars. deal..?