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QveST [7]
3 years ago
7

What is 8/5 divided by 3?

Mathematics
1 answer:
alexira [117]3 years ago
6 0
Know that dividing by 3 is the same as multiplying by 1/3. 

Thus, 8/5 * 1/3 = 8/15
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Korvikt [17]

Step-by-step explanation:

(3+1/4)-(4+2/5)

(13/4)-(22/5)

find common denominator of 20

(65/20)-(88/20)

-23/20

Hope that helps :)

8 0
2 years ago
Find the absolute extrema of the function on the closed interval. f(x) = sin 2x, [0, 2π]
Sonja [21]

Answer:

Minimum -1, maximum 1.

At points (3π/4. -1) and  (π/4 , 1)

Step-by-step explanation:

The maximum value for the sine of an angle is 1 and the minimum is -1.

The angle will have values of π/2 and 3π/2 at these points.

As the angle is 2x the angle values will be  π/4 and  3π/4.

6 0
3 years ago
Find an equation of a plane containing the line r = ⟨−5, 1, 0⟩ + t ⟨7, −8, 4⟩ which is parallel to the plane 4x + 1y −5z = −24.
Ipatiy [6.2K]

1-Find an equation of the plane.

The plane that passes through (8,0,-1)

and contains the line x=4-4t , y=1+5t , z=4+2t

------------

2-Find an equation of the plane.

The plane that passes through the point (-2,2,2)

and contains the line of intersection of the planes

x+y-z=3 and 3x-y+5z=5

---------------

3-Find an equation of the plane.

The plane that passes through the line of intersection of the planes x-z=1 and y+2z=2

and is perpendicular to the plane x+y-4z=3

------------

4-Where does the line through

<span>(1, 0, 1) and (4,-2,3)intersect the plane</span><span>x + y + z = 8 ?</span>
8 0
3 years ago
At a baseball game, a vender sold a combined total of 104 sodas and hot dogs. the number of sodas sold was three times the numbe
Reil [10]
You have to set up a system of equations

x+y=104
3x-y=104

Sodas = 78
Hotdogs = 26
7 0
3 years ago
Need to know the population in 2015
Margarita [4]
\bf P=1110.9e^{kt}\quad &#10;\begin{cases}&#10;P=1200 &\textit{in thousands}\\&#10;t=2 &\textit{in 2002}&#10;\end{cases}\implies 1200=1110.9e^{k2}&#10;\\\\\\&#10;\cfrac{1200}{1110.9}=e^{2k}\implies ln\left( \frac{1200}{1110.9} \right)=ln(e^{2k})\implies ln\left( \frac{1200}{1110.9} \right)=2k&#10;\\\\\\&#10;\cfrac{ln\left( \frac{1200}{1110.9} \right)}{2}=k\implies 0.0385755\approx k\implies 0.0386\approx k\\\\&#10;-------------------------------\\\\

\bf P=1110.9e^{0.0386t}\qquad &#10;\begin{cases}&#10;t=14\\&#10;\textit{year 2015}&#10;\end{cases}\implies P=1110.9e^{0.0386\cdot 14}&#10;\\\\\\&#10;P\approx 1907.0747\implies about\ 1,907,075\textit{ once rounded up}
3 0
3 years ago
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