An airplane flies at 112
1
2
miles per hour. How long will it take the airplane to fly 3,375 miles?
hours

Answer:

42 Joules

Step-by-step explanation:

Edge 2020

Work done by the force is 42 units which is correct option(C)

The work done by a force in moving along a vector that is the product of their.

Let the the object move from P(2,-4) to Q(10,1)

Here, the position vectors

[tex]\vec{p}[/tex]  = [tex]2\vec {i}+(-4)\vec {j}[/tex], [tex]\vec{q}[/tex] =  [tex]10\vec i+\vec{j}[/tex]

Hence [tex]\vec{PQ}[/tex] =  [tex]\vec{q}[/tex] -[tex]\vec{p}[/tex] =   [tex]10\vec i+\vec{j}[/tex] -  [tex]2\vec {i}+(-4)\vec {j}[/tex],

  [tex]\vec{PQ}[/tex] =    [tex]8\vec i+5\vec{j}[/tex]

Force acts in a direction (4,2)

So [tex]\vec{F}[/tex] =    [tex]4\vec i+2\vec{j}[/tex]

∴ Work done =   [tex]\vec{F}.\vec{PQ}[/tex]  =   [tex](4\vec i+2\vec{j})[/tex] [tex].(8\vec i+5\vec{j})[/tex]

Work done = 32+10 =42 units

Hence work done by the force is 42 units

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Answer:

Player A, Player D, Player C, Player B

Step-by-step explanation:

Hope I'm Right :)

Answer:

PLayer B player D player C and Player A

Step-by-step explanation:

Answer:

Mr. Ali worked for 55 hours.

Step-by-step explanation:

Basic working hours = 40 hours

Total gross wages = $490.15

Overtime wages = $156.75

Total wages as per basic week = Total Gross wages - Overtime wages

Total wages as per basic week = $490.15 - $156.75 = $334.4

Let wages for basic hours = [tex]\$x[/tex]

[tex]40\times x = \$334.4\\\Rightarrow x = \bold{\$8.36}[/tex]

Let the number of overtime hours = [tex]y[/tex] hours.

Given that the wages for overtime are paid for at time-and-a-quarter.

As per question statement:

[tex]y\times 8.36\times \dfrac{5}{4} = $156.75\\\Rightarrow y = \bold{15\ hours}[/tex]

Total number of hours worked by Mr. Ali = 40 + 15 = 55 hours

Step-by-step explanation:

gradient = (y2 - y1)/(x2 - x1)

-1/2 = (r - 2)/(3 - (-3))

-1/2 = (r - 2)/6

-1/2(6) = r - 2

-3 = r - 2

-3 + 2 = r

hence r = -1.

Answer:

260

Step-by-step explanation:

The formula is base times height

Answer:

260

Step-by-step explanation:

Base times height so 20 times 13 and it equals 260 hope i helped

Answer:

ypu can do this by using this please vote

Answer:

Car A can travel 25 miles with 1 gallon of gas and car B can travel 20 miles with 1 gallon of gas

Step-by-step explanation:

Based on the graph, you know that car A can travel 50 miles with 2 gallons of gas.  To find how many miles it can travel with 1 gallon of gas, you need to divide the number of miles by the number of gallons of gas it uses to get the answer.  So you do 50/2=25.  That is how many miles it can travel with 1 gallon of gas.  Do the same thing with car B. 60/3=20.  So car B can travel 20 miles with 1 gallon of gas.  You know that car A can travel more because car A can travel 25 miles with 1 gallon of gas while car B can only travel 20 miles with 1 gallon of gas.  Car A can travel 5 more miles than car B with 1 gallon of gas.

Hope this helps. :-)  Please give brainliest

Answer:

ayyyy

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

haha

9514 1404 393

Answer:

  (a) g^-1(x) = ±√(x -1)

  (b) 0

  (c) 17

Step-by-step explanation:

(a) The inverse is found by solving for y:

  x = g(y)

  x = y² +1

  x -1 = y² . . . . . . subtract 1

  y = ±√(x-1) . . . . take the square root

  g^-1(x) = ±√(x -1) . . . . in functional form

Note: the inverse of g(x) is not a function, because it is double-valued.

__

(b) f(h(-2)) = f(-2+1) = f(-1) = f(-1+1)

  f(h(-2)) = 0

__

(c) g(f(3)) = g(3+1) = g(4) = 4² +1

  g(f(3)) = 17

Answer:

✅The relation is a function

✅The graph of the function is linear

✅The table can be represented by the equation, [tex] y = 4x + 4 [/tex]

Step-by-step explanation:

✅The relation is a function because each domain (number of squares) has exactly one range (perimeter).

✅The graph of the function is linear because the difference between any two successive y-values gives us the same value of 4.

That is: 12 - 8 = 16 - 12 = 20 - 16 = 4.

✅The table can be represented by the equation, [tex] y = 4x + 4 [/tex], because if we substitute any pair of values (x, y) into the equation, the equation would be true.

For example, using the pair (1, 8), substitute x = 1, and y = 8 in [tex] y = 4x + 4 [/tex].

Thus:

[tex] 8 = 4(1) + 4 [/tex]

[tex] 8 = 8 [/tex] (True).

Answer:

3/4 divided by 1/6 = 4.5

Step-by-step explanation:

Answer:

In the pic

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

Answer:

Continuing from 58: 174, 175

Step-by-step explanation:

The pattern is multiply by 3, and add 1. 6 x 3 = 18, and 18 + 1 = 19. same pattern works for 19 times 3, and 57 times 1. 57 times 3 is 174, then add the 1 to get 175

Answer:

45

Step-by-step explanation:

Hope this helped

Answer:

-360

Step-by-step explanation:

Answer:

60 km/h

Step-by-step explanation:

Your welcome :)

Answer:

x=-5

Step-by-step explanation:

2x+10=0

2x=-10

x=-5

Answer:

45 pages per hour

Step-by-step explanation:

have a great dayyyyy

Answer:

my biggest tip would be use a percentage calculator

Answer:The remaining area to cover is

.9 * (25m * 40m)

Step-by-step explanation:

Answer:

0.7295

Step-by-step explanation:

Given that :

Mean rate of lost time accident = 0.3 per day

probability that the number of lost-time accidents occurring over a period of 9 days will be no more than 3?

n = 9

Using binomial distribution formula :

P(x ≤3)

Probability of success (p) = 0.3

1 - p = 1- 0.3 = 0.7

nCx * p^x * (1 - p)^(n-x)

Using the binomial probability distribution calculator to save computation time :

P(x ≤3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

P(x ≤3) = 0.0403 + 0.1556 + 0.2668 + 0.2668

P(x ≤3) = 0.7295

Probabilities are used to determine the chances of events.

The probability that accidents occur no more than 3 days in 9 days is 0.7296

The given parameters are:

[tex]p = 0.3[/tex] --- the probability that an accident occurs

The probability that an accident does not occur (q) is then calculated using the following complement rule

[tex]q= 1 - p[/tex]

[tex]q= 1 - 0.3[/tex]

[tex]q= 0.7[/tex]

The probability that accidents occur no more than 3 days in 9 days is

[tex]P(x \le 3) = P(0) + P(1) + P(2) + P(3)[/tex]

Each probability is calculated using:

[tex]P = ^nC_rp^rq^{n-r}[/tex]

So, we have:

[tex]P(x \le 3) = ^9C_0(0.3)^0(0.7)^9 +^9C_1(0.3)^1(0.7)^8 + ^9C_2(0.3)^2(0.7)^7 + ^9C_3(0.3)^3(0.7)^6[/tex]

This gives

[tex]P(x \le 3) = 0.0403 + 0.1556 + 0.2668 + 0.2669[/tex]

[tex]P(x \le 3) = 0.7296[/tex]

Hence, the probability that accidents occur no more than 3 days in 9 days is 0.7296

Read more about probabilities at:

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Answer:

5(9)+20

Step-by-step explanation:

5(9+4) can be expanded to get 5(9)+5(4). And 5(4)=20.

Answer:

Option D

Step-by-step explanation:

This will seem weird but all you are is doing distrubitive property.

Replace w with nine and you have this.

Step 1 (Replace/Substitute)

5(9 + 4)

5(9) + 20

We distribute the five to the numbers in the parentheses. Or we multiply 5 to the other numbers within the parentheses.

Thus, D is your answer.

Answer:

y=1

Step-by-step explanation:

Answer:

£234.36

Step-by-step explanation:

Answer:

Pierre is right

Step-by-step explanation:

The correct formula for Exponential growth rate is given as:

y = a( 1 + r) ^t

Where

y = Amount after time t

a = Initial amount

r = Growth rate

t = time

From the question

a = 300

r = 2% = 0.02

Hence, our exponential growth rate =

y = 300( 1 + 0.02)^t

y = 300( 1.02)^t

Therefore, Pierre is right

Answer:

62

Step-by-step explanation:

Answer:

Downloaded music 1 EACH: $1

Movie 1 EACH: $12

Step-by-step explanation:

4 songs and 1 movie = $16

6 songs and 1 movie = $18

if we minus the two formulas we get:

2 songs = $2

Try it out on the formula, it will work.

$4 + x = $16

x = $12

$6 + $12 = $18

Answer:

228

Step-by-step explanation: