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Nataly_w [17]
2 years ago
11

Rearrange the equation so b is the independent variable. 4a+b=−52

Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
8 0

Answer:

a= \frac{-52-b}{4}

Step-by-step explanation:

Rearrange the equation so b is the independent variable.

To get 'b' as a independent variable , we need to get 'a' alone

WE need to solve for 'a' so that 'a' depends on variable b and 'b' becomes independent variable

4a+b=−52

To get 'a' alone , subtract 'b' from both sides

4a = -52-b

Divide by 4 on both sides

a= \frac{-52-b}{4}

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An element with mass 730 grams decays by 27.6% per minute. How much of the element is remaining after 12 minutes, to the nearest
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A=I(1 - r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &730\\
r=rate\to 27.6\%\to \frac{27.6}{100}\to &0.276\\
t=\textit{elapsed time}\to &12\\
\end{cases}
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A=730(1-0.276)^{12}\implies A=730(0.724)^{12}
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2 years ago
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A gene can be either type A or type B, and it can be either dominant or recessive. If the gene is type B, then there is a probab
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Answer: The probability that a gene is of type A is 0.29.

Step-by-step explanation:

Let A be the event of type A.

Let B be the event of type B.

Let D be the event of dominant.

So, P(B and D) = 0.22

P(D|B)=0.31

So, Using the conditional probability, we get that

P(B|D)=\dfrac{P(B\cap D)}{P(B)}\\\\0.31=\dfrac{0.22}{P(B)}\\\\P(B)=\dfrac{0.22}{0.31}=0.71

So, the probability that a gene is of type A is given by

P(A)=1-P(B)=1-0.71=0.29

Hence, the probability that a gene is of type A is 0.29.

8 0
2 years ago
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N(17+x)=34x−r<br> I need to solve for x
Paraphin [41]

Answer:

The value of x is, x= \frac{17N+r}{34-N}

Explanation:

Given: N(17+x)=34x-r

Distributive Property states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately.

If a\cdot(b+c) =a\cdot b + a\cdot c

Now, using distributive property on left hand side of the given expression as:

N\cdot 17+N\cdot x = 34x-r or 17N+Nx = 34x-r

Addition Property of equality state that we add the same number from both sides of an equation.

Add r to both sides of an equation:

17N+Nx+r=34x-r+r

Simplify:

17N+Nx+r=34x

Subtraction Property of equality state that we subtract the same number from both sides of an equation.

Subtract Nx from both sides of an equation;

17N+Nx+r-Nx=34x-Nx

Simplify:

17N+r=34x-Nx

or

17N+r=x(34-N)

Division Property of equality states that we divide the same number from both sides of an equation.

Divide by (34-N) to both sides of an equation;

\frac{17N+r}{34-N}= \frac{x(34-N)}{34-N}

On Simplify:

x= \frac{17N+r}{34-N}





4 0
2 years ago
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HELP!
adelina 88 [10]

Answer:

A) 66 inches

B) 3.5 inches

C) 38 inches

D) 3 inches

Step-by-step explanation:

A)

If the height of the 36-month-old boy is 36 inches, we just need to use the value of x = 36 in the equation, and then find the value of y:

y = 3.5 * 36 - 60 = 66 inches

B)

As the slope of the equation is 3.5, an increase of 1 in the value of x causes a increase of 3.5 in the value of y, so the answer is 3.5 inches.

C)

We just need to use y = 73 and then find x:

73 = 3.5x - 60

3.5x = 133

x = 38 inches

D)

If the increase in y was 10.5, we just need to divide this value by the slope to find the increase in x:

dx = dy/3.5 = 10.5/3.5 = 3 inches

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