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cupoosta [38]
1 year ago
7

Solve for u. Enter your answer in the answer box and then click Check Answer.

Mathematics
1 answer:
Lunna [17]1 year ago
6 0

Given that:

G=\frac{d}{1-u}

- we cross multiply as follows:

G\times(1-u)=d

- we divide both sides by G, as follows:

\begin{gathered} \frac{G\times(1-u)}{G}=\frac{d}{G} \\  \end{gathered}1-u=\frac{d}{G}

- Subtract 1 from both sides of the equation:

1-u-1=\frac{d}{G}-1-u=\frac{d}{G}-1

- multiply both sides of the equation by -1, as follows:

-u\times-1=(\frac{d}{G}-1)\times-1u=-\frac{d}{G}+1

Therefore, we have that:

u=1-\frac{d}{G}

or:

u=\frac{G-d}{G}

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What is the equation of the line that passes through the point (6, 8) and has a slope 1/2
Korvikt [17]

Answer:

y=1/2x+5

Step-by-step explanation:

Plug it into the formula for a point and a slope.

(y-(y(subscript 1)))=(m)(x-(x(subscript 1)))

Y-8=1/2(x-6)

Then multiply the 1/2 to the x and -6. After you do that, move everything so that it has y by itself on the left. Your ending should be y=1/2x+5.

7 0
2 years ago
Solve x2 + 1/2x +1/16=4/9
kolezko [41]

<u>Answer:</u>

x = 0.417 or x = -0.917

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

We are given the following expression and we are to solve it for the variable x:

x ^2 + \frac { 1 } { 2 } x + \frac { 1 } { 1 6 } = \frac { 4 } { 9 }

We will find the least common multiple of 2. 6 and 9:

x^2 \times 144 +\frac{1}{2}x \times 144 +\frac{1}{16} \times 144 = \frac{4}{9} \times 144

Simplifying it to get:

144x^2+72x+9=64

144x^2+72x+9-64=0

144x^2+72x-55=0

Using the quadratic formula to solve for x:

x=\frac{-b \pm\sqrt{b^2-4ac} }{2a}

x=\frac{-72 \pm\sqrt{72^2-4(144)(-55)} }{2a}

x=\frac{5}{12} or 0.417

x=-\frac{11}{12} or -0.917

3 0
3 years ago
Write an expression equivalent to `m+m+m+m` that is a product of a coefficient and a variable. Please include an explanation!
Marina CMI [18]

Answer:

4m

Step-by-step explanation:

it would be 4m because there are four different copies and the variable being used originally is 'm'. therefore, we can move it around and since addition is basically the longer version of multiplication, we would correct this to 4m.

good luck :)

i hope this helps

have a nice day !!

6 0
2 years ago
Read 2 more answers
The following lists the joint probabilities associated with smoking and lung disease among 60-to-65 year-old men. Has Lung Disea
Anna71 [15]

Answer:

4.11% probability that he has lung disease given that he does not smoke

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Does not smoke

Event B: Lung disease

Lung Disease/Nonsmoker 0.03

This means that P(A \cap B) = 0.03

Lung Disease/Nonsmoker 0.03

No Lung Disease/Nonsmoker 0.7

This means that P(A) = 0.03 + 0.7 = 0.73

What is the probability of the following event: He has lung disease given that he does not smoke?

P(B|A) = \frac{0.03}{0.73} = 0.0411

4.11% probability that he has lung disease given that he does not smoke

5 0
3 years ago
HELP WILL GIVE BRAINLIEST!
andriy [413]

Answer:

128 boxes

Step-by-step explanation:

The dimensions of the trunk is 24 in. by 24 in by 48 in

The volume = 24(24)(48) = 27648 cu. in.

The cubed boxes each have a volume of 6(6)(6) = 216 cu. in.

27648/216 = 128 boxes

8 0
3 years ago
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