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3 years ago

How many sixteenths are in 15/16

Mathematics

2 answers:

11111nata11111 [884]3 years ago

6 0

Fifteen sixteenths 15 16ths

LekaFEV [45]3 years ago

3 0

There are 15 sixteenths in 15/16

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Someone help What is 3.5=12s-55

Vaselesa [24]

Answer:

4.875 = s

Step-by-step explanation:

3.5=12s-55

Add 55 to each side

3.5+55=12s-55+55

58.5 = 12s

Divide each side by 12

58.5/12 = 12s/12

4.875 = s

6 0

2 years ago

Read 2 more answers

Integral of x"2+4/x"2+4x+3

dolphi86 [110]

I'm guessing you mean

$\displaystyle \int\frac{x^2+4}{x^2+4x+3}\,\mathrm dx$

First, compute the quotient:

$\displaystyle \frac{x^2+4}{x^2+4x+3} = 1 + \frac{4x-1}{x^2+4x+3}$

Split up the remainder term into partial fractions. Notice that

x ² + 4x + 3 = (x + 3) (x + 1)

Then

$\displaystyle \frac{4x-1}{x^2+4x+3} = \frac a{x+3} + \frac b{x+1} \\\\ \implies 4x - 1 = a(x+1) + b(x+3) = (a+b)x + a+3b \\\\ \implies a+b=4 \text{ and }a+3b = -1 \\\\ \implies a=\frac{13}2\text{ and }b=-\frac52$

So the integral becomes

$\displaystyle \int \left(1 + \frac{13}{2(x+3)} - \frac{5}{2(x+1)}\right) \,\mathrm dx = \boxed{x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C}$

We can simplify the result somewhat:

$\displaystyle x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C \\\\ = x + \frac12 \left(13\ln|x+3| - 5\ln|x+1|\right) + C \\\\ = x + \frac12 \left(\ln\left|(x+3)^{13}\right| - \ln\left|(x+1)^5\right|\right) + C \\\\ = x + \frac12 \ln\left|\frac{(x+3)^{13}}{(x+1)^5}\right| + C \\\\ = \boxed{x + \ln\sqrt{\left|\frac{(x+3)^{13}}{(x+1)^5}\right|} + C}$

3 0

2 years ago

Levi and Beverly paid 20% down on a house valued at $165,000 in 1994. They upgraded the house entirely in 2003, when they refina

aalyn [17]

Answer:

$25,000

Step-by-step explanation:

Given:

House valued at(20% down) = $165,000

Amount receive from selling the house = $190,000

Find:

Value of equity from home on selling = ?

Computation:

⇔ Value of equity from home on selling = Amount receive from selling the house - House valued at(20% down)

⇔ Value of equity from home on selling = $190,000 - $165,000

⇔ Value of equity from home on selling = $25,000

7 0

2 years ago

The graph below represents the following system of inequalities. y>x-2 y>2x+2 which points (x,y) satisfies the given syste

kramer

Answer: (-4,-6) is the point that ALMOST satisfies both inequalities. IF they were equalities, this would be the solution.

The question is a bit confusing as it asks for "which points (x,y) satisfies both" It's ungrammatical, and many points (infinite within the shaded region) are solutions that SATISFY the system of inequalities!

Step-by-step explanation: Substitute the x and y-values and see if the inequalities are true.

y>x-2 -6> -4-2 -6= -6

That point (-4,-6) is on the dashed line, so not exactly a true solution; this is a question about inequalities. So y values have to be greater than-6 or x-values less than -4 for a true inequality.

y>2x+2

-6>(2)(-4) +2

-6> -8 +2

-6> -6 Again, equal, so for this y-values have to be greater than-6 and/or x-values less than -4 in order to have a true inequality.

If you have the graph to look at, you can select any points in the shaded region that satisfies both of the inequalities.

8 1

2 years ago

The multiplication of two or more quantities may be expressed as the ? of the same quantities.

Mkey [24]

Answer:

PRODUCT

Step-by-step explanation:

? = Product because idk, common knowledge. I don't know how to explain it , it is just that I KNOW it.

3 0

3 years ago