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3 years ago

Find the value of x and y

Mathematics

1 answer:

MrRissso [65]3 years ago

5 0

X = 180 - (105+25)
x = 180 - 130
x = 50

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Find the quotient of 68.0052 and 12. Round your answer to the nearest hundredth.

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68.0052/12 would be 5.6671. If you round that to the nearest hundredth it would be 5.67. Hope this helps!

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3 years ago

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The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha

Xelga [282]

Answer:

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

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3 years ago

The drama club at Math Academy High School sold tickets to their end of the year play. On Monday they sold 80 tickets for a tota

riadik2000 [5.3K]

Answer: OPTION A

Step-by-step explanation:

Let be "a" the number of adults tickets they sold and "s" the number student of tickets they sold.

With the information given in the exercise you can set up the following System of equations:

$\left \{ {{a+s=80} \atop {6a+4.5s=426}} \right.$

Use the Elimination method to solve the system of equations:

1. Multiply the first equation by -6.

2. Add the equations.

3. Solve for "s" in order to find its value.

Then:

$\left \{ {{-6a+-6s=-480} \atop {6a+4.5s=426}} \right.\\............................\\-1.5s=-54\\\\s=36$

4. Finally, substitute the value of "s" into the first equation and solve for "a":

$a+36=80\\\\a=80-36\\\\a=44$

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4 years ago

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Gnoma [55]

Answer:

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3 years ago

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asambeis [7]

Answer:

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Step-by-step explanation:

The volume of a sphere is given by

V= 4/3 pi r^3

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3 years ago