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Andreas93 [3]
3 years ago
13

A rectangular swimming pool is to be filled with water. The pool has a uniform depth of 3 meters and

Mathematics
1 answer:
defon3 years ago
3 0

Answer:

b

Step-by-step explanation:

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What are the coordinates of M' after triangle MNO is reflected over the y-axis, and rotated 90 degrees clockwise with
exis [7]
(0,-6) because it is reflected and rotated
3 0
3 years ago
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The cylinder is 20cm high and radius of its circular face is 3cm What is the total perimeter and area of the whole net?
trasher [3.6K]

Answer: 52\ cm,\ 176.55\ cm^2

Step-by-step explanation:

Given

The cylinder is 20 cm high

The radius of the cylinder is r=3\ cm

The total area of the figure is the sum of the rectangle and two circles

\Rightarrow \text{Perimeter P=}2[h+2r]\\\Rightarrow P=2[20+6]\\\Rightarrow P=52\ cm

The total area of the figure is

\Rightarrow \text{Area A=}h\times 2r+2\pi r^2\\\Rightarrow A=20\times 6+2\times \pi \times 3^2\\\Rightarrow A=120+18\pi\\\Rightarrow A=176.55\ cm^2

3 0
2 years ago
This is a Differential Equations problem, I only need help on part 1 from question five. I need steps as well, thank you.
jolli1 [7]

Answer:

a) y(t) =  \sqrt{2t + 1 }

b) 1.5 hours after thickness will be 2 inches.

Step-by-step explanation:

\frac{dy}{dt}  =  \frac{1}{y}   \\   \\ ydy = dt  \\ \\ integrating \: both \: sides \\   \\  \int y \: dy =  \int 1 \: dt \\  \\  \frac{ {y}^{2} }{2}  = t + c \\  \\  {y}^{2}  = 2t + 2c \\  \\ y (t)=  \sqrt{2t + 2c} ...(1) \\  \\ a)  \:  \: \: plug \: t = 0 \: in \: (1) \\  \\  y (0)=  \sqrt{2(0) +2 c} \\  \\ y (0)=  \sqrt{0 +2 c} \\  \\ 1 =  \sqrt{2c}  \:  \: ( \because \: y (0)=1) \\  \\  2c = 1   \:  \implies \: c =  \frac{1}{2} \\  \\ plug \: c = \frac{1}{2} \: in \: (1) \\  \\ y(t) =  \sqrt{2t + 2 \times  \frac{1}{2} } \\  \\  \huge \:  \red {y(t) =  \sqrt{2t + 1 } } \\  \\b) \:  \:  plug \: y(t) = 2 \: in \: above \: equation \\  \\ 2 =  \sqrt{2t + 1}  \\  \\ 4 = 2t + 1 \: \\  (squaring \: both \: sides) \\  \\ 4 - 1 = 2t \\  \\ 2t = 3 \\  \\ t =  \frac{3}{2}  \\  \\ t = 1.5 \: hours \\

6 0
2 years ago
It is believed that 3% of people actually have this predisposition. The genetic test is 99% accurate if a person actually has th
fiasKO [112]

Answer:

Required Probability = 0.605

Step-by-step explanation:

Let Probability of people actually having predisposition, P(PD) = 0.03

Probability of people not having predisposition, P(PD') = 1 - 0.03 = 0.97

Let PR = event that result are positive

Probability that the test is positive when a person actually has the predisposition, P(PR/PD) = 0.99

Probability that the test is positive when a person actually does not have the predisposition, P(PR/PD') = 1 - 0.98 = 0.02

So, probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition = P(PD/PR)

Using Bayes' Theorem to calculate above probability;

 P(PD/PR) = \frac{P(PD)*P(PR/PD)}{P(PD)*P(PR/PD)+P(PD')*P(PR/PD')}

                   = \frac{0.03*0.99}{0.03*0.99+0.97*0.02} = \frac{0.0297}{0.0491} = 0.605 .

7 0
3 years ago
5. Evaluate f(x) = 2x – 7 at the given value. f(4)=?
slava [35]

Answer:

f(5) = 14

Step-by-step explanation:

Just replace the variable "x" with "5":

f(5) = 2×5 + 4 = 14

8 0
3 years ago
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