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4 years ago

Is |-217| greater than |203|

Mathematics

2 answers:

vitfil [10]4 years ago

8 0

Yes i believe it is since it is an absolute value it measures the distance from 0

zysi [14]4 years ago

4 0

Answer:

Yes

Step-by-step explanation:

Absolute value means distance from 0 (which is always positive), so if the number inside is negative you take the opposite.

|-217| = 217

|203| = 203

217 > 203

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Find the total volume of the composite figure below. Round to the nearest thousandth.

cestrela7 [59]

Answer:

The volume of the composite figure is approximately 3567.198 cubic feet.

Step-by-step explanation:

The composite figure consists in the combination of a right cone and a cuboid. The volume of the composite ( $V$ ), in cubic feet, figure can be determined by this expression:

$V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h + w\cdot H \cdot l$ (1)

Where:

$r$ - Radius of the circle of the right cone, in feet.

$h$ - Height of the cone, in feet.

$w$ - Width of the cuboid, in feet.

$H$ - Height of the cuboid, in feet.

$l$ - Length of the cuboid, in feet.

If we know that $r = 10\,ft$ , $h = 10\,ft$ , $w = 20\,ft$ , $H = 7\,ft$ and $l = 18\,ft$ , then the volume of the composite figure is:

$V = \frac{1}{3}\cdot \pi \cdot (10\,ft)^{2}\cdot (10\,ft) + (20\,ft)\cdot (7\,ft)\cdot (18\,ft)$

$V = \left(\frac{1000\pi}{3} + 2520\right)\,ft^{3}$

$V \approx 3567.198\,ft^{3}$

The volume of the composite figure is approximately 3567.198 cubic feet.

3 0

3 years ago

Please could you help me with this question. I've been off school for a few weeks and this is my second day back in and I have n

strojnjashka [21]

Answer:

-3,2,5

for the graph start with a point at (0,2) then go over 1 and up 1

Step-by-step explanation:

3 0

3 years ago

Dane is investing $150,000 for 30 years at an annually compounded rate of 5.5%. What is the difference between his ending accoun

navik [9.2K]

Total = Principal × ( 1 + Rate )^years
Total = 150,000 * (1.055) ^ 30
Total = 150,000 * 4.9839512884
Total = 747,592.69

Total = 150,000 * (1.065) ^ 30
Total = 150,000 * 6.614366163 
Total = 992,154.92

Difference = 992,154.92 -747,592.69 =
244,562.23 

Source:
http://www.1728.org/compint.htm
online interest calculator

7 0

3 years ago

Pls help I dont understand. Find the inverse of this function.

lisov135 [29]

In the inverse we replace the place of x by y .

$g(x) = \sqrt[3]{x} - 3 \\ \\ x = \sqrt[3]{y} - 3 \\ \sqrt[3]{y} = x + 3 \\ y = {(x + 3)}^{3} \\ y = {(x + 3)}^{2} (x + 3) \\ y = ({x}^{2} + 6x + 9)(x + 3) \\ \\ y = {x}^{3} + 6 {x}^{2} + 9x + 3 {x}^{2} + 18x + 27 \\ \\ y = {x}^{3} + 9 {x}^{2} + 27x + 27 \\ \\ \\ g(x)^{ - 1} = {x}^{3} + 9 {x}^{2} + 27x + 27$