All categories

3 years ago

What is the slop of a line perpendicular to the line whose equation is 4x+6y=108. Reduce your answer

Mathematics

1 answer:

3241004551 [841]3 years ago

6 0

I honestly don’t know so don’t pay attention to me pls I’m so sorry

You might be interested in

Part a at what speed v should an archerfish spit the water to shoot down an insect floating on the water surface located at a di

loris [4]

3.01 m/s
This is a simple projectile calculation. What we want is a vertical velocity such that the time the droplet spends going up and going back down to the surface exactly matches the time the droplet takes to travel horizontally 0.800 meters. The time the droplet spends in the air will is:
V*sqrt(3)/2 ; Vertical velocity.
(V*sqrt(3)/2)/9.8 ; Time until droplet reaches maximum height
(V*sqrt(3))/9.8 ; Double that time for droplet to fall back to the surface.

The droplet's horizontal velocity will be:
V/2.

So the total distance the droplet travels will be:
d = (V*sqrt(3))/9.8 * V/2
d = V^2*sqrt(3)/19.6

Let's substitute the desired distance and solve for V
d = V^2*sqrt(3)/19.6
0.8 = V^2*sqrt(3)/19.6
15.68 = V^2*sqrt(3)
15.68/sqrt(3) = V^2
15.68/1.732050808 = V^2
3.008795809 = V
So after rounding to 3 significant figures, the archerfish needs to spit the water at a velocity of 3.01 m/s
Let's verify that answer.
Vertical velocity: 3.01 * sin(60) = 3.01 * 0.866025404 = 2.606736465
Time of flight = 2.606736465 * 2 / 9.8 = 0.531987034 seconds.
Horizontal velocity: 3.01 * cos(60) = 3.01 * 0.5 =

8 0

3 years ago

Please i need your help

Softa [21]

Answer:

x is 11

Step-by-step explanation:

${ \tt{10 + 5 + x = 26}} \\ x = 11$

6 0

3 years ago

What time what equals 115

faust18 [17]

23 times 5 equals 115

5 0

3 years ago

A batch of 200 calculators contains 3 defective units. What the probability that a sample of three calculators will have/be

Anika [276]

Answer:

1. 0.048

2. 0.952

3. 0.6465

Step-by-step explanation:

Requirement 1

the probability of no defective calculator is 0.048

Given,

Total calculator = 200

Number of defective = 3

Probability of defective,

p = 3/200

= 0.015

And the probability of non-defective,

q = 1 - p

=1-0.015

=0.985

The Probability distribution of defective follows the normal distribution.

P [X=0] = 〖200〗_(c_0 ) 〖(.015)〗^0 〖(.985)〗^(200-0)

P [X=0] = 0.048

Requirement 2

the probability of no defective is 0.048.

here, the probability of at least one defective means minimum 1 calculator can be defective. So the probability of at least one will be the probability of less than or equal 1.

P [X =less than or equal 1] = 1- P [X=0]

= 1 - 0.048

= 0.952

So the probability of at least one defective is 0.952.

Requirement 3

c) the probability of all defective calculators is 0.6465.

P [X=3] = P[X=0]+ P[X=1]+ P[X=2]+ P[X=3]

Here,

P [X=0] = 0.048

P [X=1] = 〖200〗_(c_1 ) 〖(.015)〗^1 〖(.985)〗^(200-1)

= 0.148228

P [X=2] = 〖200〗_(c_2 ) 〖(.015)〗^2 〖(.985)〗^(200-2)

= 0.2245997

P [X=3] = 〖200〗_(c_3 ) 〖(.015)〗^3 〖(.985)〗^(200-3)

= 0.2257398

So, P [X=3] = 0.048+0.148228+0.2245997+0.2257398

= 0.6465675

So, the probability of all defective calculators is 0.6465.

6 0

3 years ago

In science class, Jada uses a graduated cylinder with water in it to measure the volume of some marbles. After dropping in 4 mar

-BARSIC- [3]

1) 1ml % 6 marbles = about 0.17ml so the volume per marble is 0.17ml 2) 10-(0.17x4) = 9.32 so that is the original volume 3) then 9.32 + (0.17 x 13) = 11.53ml 4) it is linear because for every marble placed inside the cylinder the volume increases by about 0.17ml the slope means amount of marbles placed vs. volume in cylinder

6 0

3 years ago

Read 2 more answers