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Natasha2012 [34]
3 years ago
13

A rectangular prism with a square base is cut from the center of a triangular prism. Each side of the square base measures 1.7 u

nits. A rectangular prism with a square base is cut out of the center of a triangular prism. The triangular prism has base lengths of 5 and 4 units and a height of 5.7 units. The rectangular prism has sides lengths of 1.7 and 4 units. What is the volume of the shaded solid? Round to the nearest tenth of a cubic unit. 11.6 units3 45.4 units3 57.0 units3 68.6 units3
Mathematics
2 answers:
anzhelika [568]3 years ago
6 0

Answer:

45.4

Step-by-step explanation:

MAVERICK [17]3 years ago
6 0

Answer: b- 45.4

Step-by-step explanation: just took the quiz

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The population of a certain species of bird in a region after t years can be modeled by the function P(t)= 1620/1+1.15e^-0.042t
natka813 [3]

Answer:

A

Step-by-step explanation:

The function is  \frac{1620}{1+1.15e^{-0.042t}}

To find the maximum population, we need to set t towards infinity to get our answer.

So, we replace time with maximum (\infty). Let's check:

\frac{1620}{1+1.15e^{-0.042t}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042t}}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042(\infty)}}}\\=\frac{1620}{1+\frac{1.15}{\infty}}\\=\frac{1620}{1+0}\\=\frac{1620}{1}\\=1620

The population of birds approaches 1620 as t goes towards infinity. So we can say the max population of the species is 1620.

Correct answer is A

5 0
3 years ago
Read 2 more answers
Which two numbers add up to 5 and multiply to -84
11111nata11111 [884]
The answer is 12 and -7.

12 * -7 = 84

12 + -7 = 5
5 0
3 years ago
The sides of △FGH are FG = 6 x+ 7, GH = 8x - 5, and FH = 10x - 11. If the perimeter of △FGH is 87, list the angles in order from
irga5000 [103]

Answer:

From largest to smallest: FG, FH, GH

Step-by-step explanation:

Given

FG = 6x + 7

GH = 8x - 5

FH = 10x - 11

Perimeter = 87

Required

Order the sides in descending order

First, we need to solve for x.

Perimeter of FGH is calculated as thus:

Perimeter = FG + GH + FH

Substitute values for FG, GH, FH and Perimeter

87 = 6x + 7 + 8x - 5 + 10x - 11

Collect Like Terms

87 - 7 + 5 + 11= 6x + 8x + 10x

96= 24x

Reorder

24x = 96

Divide through by 24

x = 96/24

x = 4

Substitute 4 for x in FG, GH and FH

FG = 6x + 7

FG = 6 * 4 + 7

FG = 24 + 7

FG =31

GH = 8x - 5

GH = 8 * 4 - 5

GH = 32 - 5

GH = 27

FH = 10x - 11

FH = 10*4 - 11

FH = 40 - 11

FH = 29

In order of arrangement in descending order, we have:

FG =31    FH = 29     GH = 27

4 0
2 years ago
A bag contains 14 gray, 7 black and 10 white marbles. A marble is drawn at random. What is the theoretical probability, as a dec
Dahasolnce [82]
The probability of drawing a black marble is 7/31 or .226 or 22.581%. To find the probability of these type of questions, add all together to get 31, then since there are 7 black marbles the probability would be 7/31.
6 0
1 year ago
Pleasee help!!! (brainlest) (15 points)
USPshnik [31]
-1400 + 800 - 350 = - 950 meters
5 0
3 years ago
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