Ask question

Ask question

All categories

Brilliant_brown [7]

3 years ago

6

A passenger on a ship dropped his camera into the ocean. If it is descending at a rate of -4.2 meters per second, how long (in s

econds) until it hits the bottom of the ocean, which is at -1875 meters? Round to the nearest second.

1 answer:

Bezzdna [24]3 years ago

8 0

It would take 446 seconds

You might be interested in

Attached as photo. Please help

Effectus [21]

By Euler's method the <em>numerical approximate</em> solution of the <em>definite</em> integral is 4.189 648.

<h3>How to estimate a definite integral by numerical methods</h3>

In this problem we must make use of Euler's method to estimate the upper bound of a <em>definite</em> integral. Euler's method is a <em>multi-step</em> method, related to Runge-Kutta methods, used to estimate <em>integral</em> values numerically. By integral theorems of calculus we know that definite integrals are defined as follows:

∫ f(x) dx = F(b) - F(a) (1)

The steps of Euler's method are summarized below:

Define the function seen in the statement by the label f(x₀, y₀).
Determine the different variables by the following formulas:

xₙ₊₁ = xₙ + (n + 1) · Δx (2)
yₙ₊₁ = yₙ + Δx · f(xₙ, yₙ) (3)
Find the integral.

The table for x, f(xₙ, yₙ) and y is shown in the image attached below. By direct subtraction we find that the <em>numerical</em> approximation of the <em>definite</em> integral is:

y(4) ≈ 4.189 648 - 0

y(4) ≈ 4.189 648

By Euler's method the <em>numerical approximate</em> solution of the <em>definite</em> integral is 4.189 648.

To learn more on Euler's method: brainly.com/question/16807646

#SPJ1

7 0

2 years ago

A flat rectangular piece of aluminum has a perimeter of 62 inches. The length is 15

Salsk061 [2.6K]

Answer:

So, the required width of rectangular piece of aluminium is 8 inches

Step-by-step explanation:

We are given:

Perimeter of rectangular piece of aluminium = 62 inches

Let width of rectangular piece of aluminium = w

and length of rectangular piece of aluminium = w+15

We need to find width i.e value of x

The formula for finding perimeter of rectangle is: $Perimeter=2(Length+Width)\\$

Now, Putting values in formula for finding Width w:

$Perimeter=2(Length+Width)\\\\62=2(w+15+w)\\62=2(2w+15)\\62=4w+30\\62-30=4w\\4w=32\\w=\frac{32}{4}\\w=8$

After solving we get the width of rectangular piece :w = 8

So, the required width of rectangular piece of aluminium is 8 inches

6 0

3 years ago

Determine the x-intercept and y-intercept of the following linear equations

Blizzard [7]

Answer:

Step-by-step explanation:

the x intercept takes coordinate (x,0)

the y intercept takes coordinate (0,y)

x intercept y intercept

40: x+y=5 (5,0) (0,5)

x=0 , y=5, when y=0 x=5

41: x-y=5 (5,0) (0,-5)

x=0, -y=5 then y=-5, when y=0, x=5

42: 3x+4y=12 (4,0) (0,3)

x=0, 4y=12⇒y=12/4⇒y=3

y=0, 3x=12⇒x=12/3⇒x=4

43: 2x+3y=6 (3,0) (0,2)

x=0 , 3y=6⇒y=6/3=2

y=0 ,3y=6 ⇒ y=6/3 ⇒y=2

44: 3x+4y=-24 (-8,0) (0,-6)

x=0 , 4y=-24⇒y=-24/4 ⇒ y=-6

y=0 , 3x=-24⇒ x=-24/3⇒x=-8

45: 1/3x+2/3y=5/6 (5/2,0) (0,5/4)

x=0 , 2/3 y=5/6 ⇒12y=15 ⇒ y=15/12 ⇒y=5/4

y=0 , 1/3 x=5/6 ⇒6x=15 ⇒x=15/6 ⇒x=5/2

46: x=-2 (-2,0) no y intercept

it is vertical line , there is no y intercept

47: y=15 no x intercept (0,15)

horixzontal line, no x intercept

48: 3x-7y=8 (8/3,0) (0,-8/7)

x=0 , -7y=8 ⇒y=-8/7

y=0 , 3x=8 ⇒x=8/3

7 0

4 years ago

(6, -12), (15,-3) <br> slopeee

zzz [600]

The answer is
M=1
Your welcome:)

6 0

3 years ago

Please help me asap!!

sleet_krkn [62]

(22a) 1500 x 1.6 x 2
(22b) DEV 1500 x 1.8=2700 1500 x 1.3=1950 2700+1950=4650 1500 x 1.6 x 2= 4800 4650(Emma) < 4800(Dev)

I strongly suggest to check my work. Good Luck and hoped I helped at least a little (I am very tired and it was almost midnight when I did this sorry for any errors).

3 0

3 years ago