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ziro4ka [17]
3 years ago
10

PLEASE ANSWER THE QUESTION IN THE PICTURE BELOW

Mathematics
2 answers:
sweet [91]3 years ago
8 0

Answer:

35 cm^3

Step-by-step explanation:

VashaNatasha [74]3 years ago
6 0

the area is 35 hoped that helped

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If (x)=3x-1 and s(x)=2x+1, which expression is equivalent to r over s (6) ?
katrin [286]

Answer:

\large\boxed{\dfrac{3(6)-1}{2(6)+1}}

Step-by-step explanation:

\left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}\\\\\text{We have}\\\\f(x)=3x-1,\ g(x)=2x+1\\\\\left(\dfrac{f}{g}\right)(x)=\dfrac{3x-1}{2x+1}\\\\\left(\dfrac{f}{g}\right)(6)\to\text{put x = 6 to the equation of the function}\ \left(\dfrac{f}{g}\right)(x):\\\\\left(\dfrac{f}{g}\right)(6)=\dfrac{3(6)-1}{2(6)+1}

6 0
3 years ago
The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m
jeka94

9514 1404 393

Answer:

  8000π mm^3/s ≈ 25,133 mm^3/s

Step-by-step explanation:

The rate of change of volume is found by differentiating the volume formula with respect to time.

  V = 4/3πr^3

  V' = 4πr^2·r'

For the given numbers, this is ...

  V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s

_____

<em>Additional comment</em>

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

4 0
3 years ago
If g(x)=f(x+k), what is the value of k?
lianna [129]
G(x) is f(x) shifted left by (4 -(-2)) = 6 units.

The value of k is 6.
6 0
3 years ago
Read 2 more answers
the base of the founten is rectangular . its dimention 1 2/3 feet by 2 2/3 feet . what is the area of the base of the founten
Montano1993 [528]
The area of a rectangle is calculated by multiplying the length of the rectangle and the width of the rectangle. In this case, the length (the longer side) is 2 2/3 feet while the width (shorter side) is 1 2/3 feet. To multiply fraction, first convert mixed numbers into improper fractions:

2 2/3 = 8/3
1 2/3 = 5/3
Multiplying the two fractions yield: 
8/3 x 5/3 = 40/9 ft2 

The final answer is 40/9 ft2 or 4 4/9 ft2. 

3 0
3 years ago
Find an equation of line with given slope and y-intercept. Slope= -6 y-intercept= (0,-10) The equation of the line is: ?
GREYUIT [131]

Step-by-step explanation:

so, we find the slope-intercept form :

y = ax + b

"a" is the slope (it is always the factor of x), "b" is the y-intercept (the y-value when x = 0).

we have the slope : -6

and the given point (0, -10) gives us already the y-value when x = 0 : -10

therefore, the equation is

y = -6x - 10

4 0
1 year ago
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