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Sergio [31]
2 years ago
11

Make y the subject of the formula x=a-2by squared

Mathematics
1 answer:
Dominik [7]2 years ago
7 0

Answer:

y = ± \sqrt{\frac{a-x}{2b} }

Step-by-step explanation:

Given

x = a - 2by² ( subtract a from both sides )

x - a = - 2by² ( multiply through by - 1 to clear the leading negative )

a - x = 2by² ( divide both sides by 2b )

\frac{a-x}{2b} = y² ( take the square root of both sides )

y = ± \sqrt{\frac{a-x}{2b} }

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Clyde is baking, and the recipe requires 1 1/3 cups of flour. Clyde has 2 cups of flour, but he is doubling the recipe to make t
ki77a [65]
2 times 4/3= 8/3    8/3-6/3=2/3 therefore Clyde needs 2/3 cup more flour. 
5 0
2 years ago
You purchase a home for $125,000. The value of the property increases by 1.9% every year. After ten years, you decide to sell th
FinnZ [79.3K]

We can use the formula:

F = P · ( 1 + i )^n

where: P = $125,000, i = 0.019 ( 1.9 %), n = 10

F = $125,000 · ( 1 + 0.019 )^10

F = $125,000 · 1.019^10

F = $125,000 · 1.207096

F = $150,887

And we have to add $48,3000 ( for renovations and improvements )

$150,887 + $48,300 = $199,187 ≈ $199,200

Answer: You will be sell the house for $199,200.

7 0
2 years ago
Read 2 more answers
Convert 5 3/4 to a decimal round to the nearest tenth​
matrenka [14]

Answer: 5.75

Step-by-step explanation:

3/4=.75 then add the 5

6 0
2 years ago
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The first term of a finite geometric series is 6 and the last term is 4374. The sum of all the term os 6558. find the common rat
Oliga [24]

A geometric series is written as ar^n, where a is the first term of the series and r is the common ratio.

In other words, to compute the next term in the series you have to multiply the previous one by r.

Since we know that the first time is 6 (but we don't know the common ratio), the first terms are

6, 6r, 6r^2, 6r^3, 6r^4, 6r^5, \ldots.

Let's use the other information, since the last term is 4374 > 6, we know that r>1, otherwise the terms would be bigger and bigger.

The information about the sum tells us that

\displaystyle \sum_{i=0}^n 6r^i = 6\sum_{i=0}^n r^i = 6558

We have a formula to compute the sum of the powers of a certain variable, namely

\displaystyle \sum_{i=0}^n r^i = \cfrac{r^{n+1}-1}{r-1}

So, the equation becomes

6\cfrac{r^{n+1}-1}{r-1} = 6558

The only integer solution to this expression is n=6, r=3.

If you want to check the result, we have

6+6*3+6*3^2+6*3^3+6*3^4+6*3^5+6*3^6 = 6558

and the last term is

6*3^6 = 4374

7 0
2 years ago
A convex lens has a diameter of 30 mm and a depth of 5 mm at the center. How far from the vertex is the focus?
natima [27]
The formula for determining the distance of the focus from the vertex is as follows,

     f = x² / 4a

where f is focus, x is the radius (half the value of diameter), and a is the depth. Substituting the known values to the given equation,

   f = (30/2 mm)² / (4)(5 mm)

    f = 11.25 mm

<em>ANSWER: 11.25 mm</em>
8 0
2 years ago
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