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3 years ago

How can I get -1 with theses answers

Mathematics

1 answer:

LiRa [457]3 years ago

7 0

You can't get negative 1 from any equation shown in this picture. By the way, -5 +(-9) is not negative 4, it is negative 14,because according to PEMDAS( or <span>BODMAS/BIDMAS/BEDMAS )</span>, parenthesis goes first, so it's kinda like
(-9) + -5 instead.

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Suppose Y(t) = 25e^3t + 12 represents the number of bacteria present at time t minutes. At what time will the population reach 1

Levart [38]

Given:

The given function is:

$Y(t)=25e^{3t}+12$

Where Y represents the number of bacteria present at time t minutes.

To find:

The time taken by bacteria population to reach 100 bacteria.

Solution:

We have,

$Y(t)=25e^{3t}+12$

Putting $Y(t)=100$ , we get

$100=25e^{3t}+12$

$100-12=25e^{3t}$

$88=25e^{3t}$

Divide both sides by 25.

$\dfrac{88}{25}=e^{3t}$

Taking ln on both sides, we get

$\ln (\dfrac{88}{25})=\ln e^{3t}$

$\ln(\dfrac{88}{25})=3t$ $[\because \ln e^x=x]$

Divide both sides by 3.

$\dfrac{1}{3}\ln(\dfrac{88}{25})=t$

Therefore, the required time is $\dfrac{1}{3}\ln(\dfrac{88}{25})$ minutes.

3 0

3 years ago

David helped his father stock the pond with baby catfish and blue gill. They put in a total of 75 fish. If the number of blue gi

lana [24]

$x-\ amount\ of\ catfish\\\\
y-\ amount\ of\ blue\ gill\\\\\ 
 \left \{ {{x+y=75} \atop {2y+3x=175}} \right. |using\ substitution\ method:\ x=75-y\\\\
2y+3(75-y)=175\\
2y+225-3y=175\\
-y=-50\ \ |*(-1)
y=50\\
x=75-50=25\\
there\ were\ 25\ catfish\ put\ in\ the\ pond$

6 0

3 years ago

Read 2 more answers

Which are solutions for -7x+14>-3x-6

dybincka [34]

Step1. -7x+14>-3x-6
step2. -7x+3x+14>-6
step3. -7x+3x>-6-14
step4. -4>-6-14
step5. -4x>20
step6.x<5
The answer is x<5

5 0

3 years ago

Consider the following portion of an electric circuit with three relays. Current will flow from point a to point b if there is a

Svetradugi [14.3K]

Answer:

0.9009

Step-by-step explanation:

Let X be the event that Current will flow

Let Y be the event that the first relay which is 1 is closed

Thus, we can say that every element of Y is in X, but X possesses more elements. Thus, Y ⊂ X.

Thus, we can say that;

P(X ∩ Y) = P(Y)

Thus, given that current flowed, the probability that relay 1 functioned will be expressed as;

P(Y | X) = (P(Y ∩ X))/P(X)

From earlier, we saw that P(X ∩ Y) = P(Y). Thus;

P(Y | X) = P(Y)/P(X)

From the question, P(Y) = 0.9

Since there are 3 relays, then we have;

P(X) = 1 - 0.1³ = 0.999

Thus;

P(Y | X) = 0.9/0.999

P(Y | X) = 0.9009

4 0

3 years ago

Write an integer to represent the following situation: Earnings of 15 dollars

ANEK [815]

Situation : Earnings of 15 dollars is represented as integer as $+15$ .

<u>Step-by-step explanation:</u>

Here we have , to Write an integer to represent the following situation: Earnings of 15 dollars . Let's find out:

Integer : An integer in math is composes of both positive and negative whole number as : -3,-2,-1,0,1,2,3 etc ..........

According to statement , we need to write an integer to represent the statement : EARNINGS OF 15 DOLLARS . There is word earnings in statement that means increment or increase , and other words are 15 dollars or $15 . So , above statement means increase of 15 dollars which can be represented as an integer as given below :

⇒ $+15$

Where + sign means increase or , with reference to statement it refers to word earnings . Therefore , Situation : Earnings of 15 dollars is represented as integer as $+15$ .

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3 years ago

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