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Elodia [21]
3 years ago
9

Four students had the following amounts of money in their pockets: $3.14, $.67, $2.45, and $1.14. How much money did they have t

otal? A. $7.40 B. $7.04 C. $7.44 D. $7.00
Mathematics
2 answers:
marta [7]3 years ago
8 0
Ok, so always remember, when adding or sub. decimals, always line the decimals up so you get the right answer so your answer would be:

$7.40
Butoxors [25]3 years ago
7 0
A. $7.40
Adding $3.14 to $0.67 equals $3.81
You then could add $2.45 to $3.81 and get $6.26
Finally you add $1.14 to $6.26 and get $7.40
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Integrate x+1/sqrt(x). I know that the answer is 2/3 • sqrt(x) • (x+3) + C, but I don't know how it is simplified from 2/3 • x^3
Andreas93 [3]

\displaystyle\int\frac{x+1}{\sqrt x}\,\mathrm dx=\int\frac x{x^{1/2}}+\frac1{x^{1/2}}\,\mathrm dx

=\displaystyle\int x^{1/2}+x^{-1/2}\,\mathrm dx

By the power rule,

=\dfrac{x^{3/2}}{\frac32}+\dfrac{x^{1/2}}{\frac12}+C

(this seems to be the step you're not getting?)

=\dfrac23x^{3/2}+2x^{1/2}+C

The next step is to pull out a common factor of x^{1/2} from the antiderivative:

x^{3/2}=x^{1/2+1}=x^{1/2}\cdot x^1

so that the final result is

\dfrac23x^{3/2}+2x^{1/2}+C=\dfrac23x^{1/2}(x+3)+C

3 0
3 years ago
What is the answer to this please??
SIZIF [17.4K]

The length of CA is opposite of angle B and since the hypotenuse is known, you can write an equation like this: sin 40 = x/7 which simplifies to sin40 * 7 = x. The answer is A

8 0
3 years ago
Can someone please help mee
disa [49]

Answer:

I think that this answer is 22

3 0
2 years ago
What pair of number is best to simplify sqrt96? plsss help
Troyanec [42]
Answer:
I think the answer is c
3 0
3 years ago
Read 2 more answers
Please solve y=x^2-6x-5 by factoring and by using the quadratic formula with work attached
Lynna [10]

<u>Factoring:</u>

This equation cannot be factored because its roots are irrational (as shown by solving with the quadratic formula).  Also, to factor a quadratic equation, you need to find a pair of numbers whose product is equal to the c term (-5) and whose sum is equal to the b term (-6).  There is no pair of numbers which satisfies this, further showing that the equation cannot be factored.


<u>Quadratic Formula:</u>

The quadratic formula is x=\frac{-b ± \sqrt{b^{2}-4ac } }{2a}.

First, you need to find the a, b and c terms of your equation.  They are 1, -6, and -5 respectively.

Now, you must plug in to the equation and solve for x.  You must do so twice, once with a plus sign in the numerator and once with a minus.

\frac{6 ± \sqrt{(-6)^{2}-4(1)(-5) } }{2(1)} \\\frac{6 ± \sqrt{36+20} }{2} \\\frac{6 ± \sqrt{56} }{2} \\\ \frac{6 ± 2\sqrt{14} }{2} \\3+\sqrt{14} \\3-\sqrt{14}


The answers are 3+√14 and 3-√14.


Hope this helps!!


3 0
3 years ago
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