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Blizzard [7]
2 years ago
13

L=U²A divided by (A+B)² make A the subject of formular​

Mathematics
1 answer:
nikklg [1K]2 years ago
6 0

Answer:

A =  [- 2Bl + U^2 +/- √((2BL - U^2)^2 - 4B^2L^2) ] / 2L

Step-by-step explanation:

L = U^2A  / (A + B)^2

U^2 A = L(A^2 + 2AB + B^2)

U^2 A = LA^2 + 2ABL + B^2L

LA^2 + 2ABL - U^2A + B^2 L = 0

LA^2 + (2BL - U^2)A + B^2L = 0

Using the quadratic formula

A =  [- (2BL - U^2) +/- √[(2BL - U^2)^2 - 4*L*B^2L] / 2L

A =  [- 2BL + U^2 +/- √[(2BL - U^2)^2 - 4B^2L^2) ] / 2L

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TEA [102]

Answer:

I'm pretty sure that it's C.

6 0
3 years ago
Many people enjoy challenging themselves by running in marathons. A marathon is a 26-mile race. The runners wear numbers that id
Rudiy27
First we clear y from the given equation
 x + 10y = 260
 10y = 260-x
 y = (260-x) / (10)
 Then, we evaluate the function within the domain of it
 x = 0
 y = (260- (0)) / (10)
 y = (260) / (10)
 y = 26
 x = 10
 y = (260- (10)) / (10)
 y = (250) / (10)
 y = 25
 That is, you travel 1 mile in 10 minutes.
 Therefore, traveling 26 miles will take:
 (26) * (10) = 260 min
 answer
 it takes for the runner to reach the school 260min.
6 0
3 years ago
Read 2 more answers
Which of the following ( 15, 20, 30, 57 ) is the product of exactly three different prime numbers?
Andrei [34K]

Answer:

30=2*3*5, so it's 30

Step-by-step explanation:

15=3*5, so it's not 15

20=2*2*5, so it's not 20

30=2*3*5, so it's 30

57=19*3, so it's not 57

3 0
2 years ago
Evaluate the integral ∫2−1|x−1|dx
defon

I think you might be referring to the definite integral,

\displaystyle \int_{-1}^2|x-1|\,\mathrm dx

Recall the definition of absolute value:

|x| = \begin{cases}x&\text{if }x\ge0\\-x&\text{if }x

Then |x-1|=x-1 if x\ge1, and |x-1|=1-x is x. So spliting up the integral at <em>x</em> = 1, we have

\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \int_{-1}^1(1-x)\,\mathrm dx + \int_1^2(x-1)\,\mathrm dx

The rest is simple:

\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \left(x-\dfrac{x^2}2\right)\bigg|_{-1}^1 + \left(\dfrac{x^2}2-x\right)\bigg|_1^2 \\\\ = \left(\left(1-\frac12\right)-\left(-1-\frac12\right)\right) + \left(\left(2-2\right)-\left(\frac12-1\right)\right) \\\\ = \boxed{\frac52}

5 0
3 years ago
Please help me I will really appreciate it!!!
slega [8]

Answer:

<em />\displaystyle  r=\sqrt[3]{\frac{3V}{4\pi}}<em />

<em>The last option matches the correct solution</em>

Step-by-step explanation:

<u>Equation Solving</u>

We have the following equation:

\displaystyle V=\frac{4}{3}\pi r^3

And it's required to solve it for r.

Solving this equation needs to perform some operations to have the r isolated from any other variables or constants.

It can be done by conveniently operating on both sides as follows:

Eliminate the denominator by multiplying by 3:

\displaystyle 3V=4\pi r^3

Move 4\pi to the other side by dividing by 4\pi:

\displaystyle \frac{3V}{4\pi}= r^3

Swapping sides to have r at the left side:

\displaystyle  r^3=\frac{3V}{4\pi}

Finally, take the cubic root and leave r alone:

\displaystyle  r=\sqrt[3]{\frac{3V}{4\pi}}

The last option matches the correct solution

5 0
3 years ago
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