3 years ago

A right rectangular prism has a length of 6 cm,a width of 8,ad a height of 4cm.

Mathematics

1 answer:

oee [108]3 years ago

4 0

Answer:

24 cm

Step-by-step explanation:

If the dimensions are reduced by half than the length is 3cm, the width is 4cm, and the height is 2cm. To find the volume of a prism you use the formula V=l×w×h, in this case it would be V=3×4×2. So the volume of the reduced prism equals 24cm.

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Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 5 sin(xy), (0, 2) maximu

Ahat [919]

Answer with Step-by-step explanation:

We are given that

$f(x,y)=5 sinxy$

Point=(x,y)=(0,2)

We have to find the maximum rate of change of f at given point.

$f_x(x,y)=5ycos(xy)$

$f_x(0,2)=5(2)cos0=10$

$f_y(x,y)=5xcosxy$

$f_y(0,2)=5(0)cos0=0$

$\Delta f(0,2)=f_x(0,2)+f_y(0,2)=10i+0j$

Maximum rate of change of f at point (0,2)= $\mid \Delta f(0,2)\mid=\sqrt{x^2+y^2}$

Where x=Coefficient of i

y=Coefficient of j

By using the formula

Maximum rate of change of f at point (0,2)= $\sqrt{(10)^2+0}=10$

Direction of maximum rate of change of f= $\Delta\har{f}=\frac{\Delta f(0,2)}{\mid\Delta f(0,2)\mid}=\frac{10i}{10}=i$

7 0

3 years ago

Your fixed expenses are $1,328.90/month and you saved 4 months' worth in an emergency fund. You place half in a 45-day CD at a 4

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You saved 4 months
1,328.9×4
=5,315.6
half in each account
5,315.6÷2
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CD interest
2,657.8×0.045×(45÷365)
=14.75
Saving account
2,657.8×0.032×(45÷365)
=10.49

14.95 + 10.63 = $25.58 total interest earned

Hope it helps

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2 years ago

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Is 4/5 less than 5/6 or greater than

GarryVolchara [31]

Answer:4/5 is less than 5/6

Step-by-step explanation:

Since there is a smaller percent missing for 5/6 then 4/5.

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2 years ago

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9x ≥117 which numbers below belong to the solution set of the inequality