I
216
Solve the linear equation.
9x - 9 = 5x + 19
x=-7
x = 7
x = 5
x = 2

Answer:

the work done in pulling the bucket to the top of the well is 2125 ft-lb

Step-by-step explanation:

Given that;

Weight of the bucket is 3 lb

weight of water which can be filled in the bucket is 42 lb

Total weight of bucket and water = 3 + 42 = 45 lb

distance, the bucket filled with water is to be pulled 50 ft

now, let at any time t be the bucket at distance x ft from the bottom of the well

then, t = x/2 × S

where S is the rate at which water is leaking from the bucket

so at this time t, the amount pf water which leaked from the bucket is;

⇒ x ft / 2.5 ft/s × 0.25 lb/s

= 0.25 lb.s⁻¹ / 2.5 ft.s⁻¹ × x ft

= 0.1 lb/ft × x ft

= 0.1x lb

now, as x represent the distance that the bucket has been raised, we the force F applied to the bucket x to be;

F = ( 45 - 0.1x ) lb

so, the required worked by Riemann sum as;

[tex]\lim_{n \to \infty}[/tex]ⁿ∑_[tex]_{i=1}[/tex] ( 45 - 0.1x[tex]_i[/tex]* ) Δx

so, the work done, pulling the bucket up will be;

[tex]\lim_{n \to \infty}[/tex]ⁿ∑_[tex]_{i=1}[/tex] ( 45 - 0.1x[tex]_i[/tex]* ) Δx  =  [tex]\int\limits^{50}_0 {(45-0.1x)} \, dx[/tex]

= [ 45x - 0.1[tex]\frac{x^2}2}[/tex] ]⁵⁰₀

= 45 × 50 - 0.1/2 × (50)²

= 2250 - 125

= 2125 ft-lb

Therefore, the work done in pulling the bucket to the top of the well is 2125 ft-lb

Answer:

In 5 hours, he will go 3 ¾ kilometers far.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer is 103

- took the test on edge!

- Have a good day :)

Answer:

7610 m

Step-by-step explanation:

600m = 600m

7km = 7000m

1000cm = 10m

The required distance = 600 + 7000 + 10 = 7610 m

Answer:

y=2x-3

Step-by-step explanation:

First we find the y-intercept of this graph whic in this case is -3. Then we plot two pints on the graph and caculate the rise over run which is 2/1=2. Finally, we get the equation- y=2x-3.

Answer:

459

Step-by-step explanation:

because 3^5 is 243 and 6^3 is 216 then add up 243+216=459

Answer:

it is either A OR B

Step-by-step explanation:

Answer: I think it B (130)

Step-by-step explanation: .........

9514 1404 393

Answer:

Step-by-step explanation:

In each of these Law of Sines problems, you are given side a and angles B and C and asked for side c (problems 1, 3, 4) or side b (problem 2). The solution is basically the same for each:

Find the missing angle. Find the side from ...

  c = a·sin(C)/sin(A)

__

1. angle A = 180°-89°-58° = 33°

  c = (18 m)sin(89°)/sin(33°) ≈ 33.0 m

__

2. angle C = 180°-13°-17° = 150°

  b = (58 mi)sin(13°)/sin(150°) ≈ 26.1 mi

__

3. angle A = 180°-61°-89° = 30°

  c = (16 mi)sin(61°)/sin(30°) = 28.0 mi

__

4. angle A = 180°-39°-127° = 14°

  c = (10 mi)sin(127°)/sin(14°) ≈ 33.0 mi

answer:

we reject null and conclude that this manufacturers claim is false

Step-by-step explanation:

p = 30% = 0.30

p^ = 93/150 = 0.62

we state the hypothesis

H0: p = 0.30

h1: p not equal to 0.30

we find the z test stattistics

[tex]z=\frac{p^--p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]

[tex]z=\frac{0.62-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }[/tex]

[tex]z=\frac{0.32}{\sqrt{\frac{0.30*0.70}{150} } }[/tex]

[tex]z=\frac{0.32}{0.03741}[/tex]

z = 8.5538

at alpha = 0.05

z-critical = Z₀.₀₅/₂ = Z₀.₀₂₅

= 1.96

we compare z critical with the test statistic

z statistic > z critical so we have to reject H₀ and conclude that the manufacturers claim is not valid at 0.05 level of significance.

Answer:

-30,10

Step-by-step explanation:

How to get 60 to -30 : 60 divided by -30 is -2

How to get -20 to 10: -20 divided by 10 is -2

Answer:

17 feet 10 inches

Step-by-step explanation:

26 feet 10 inches is cut from a wire that is 44 feet 8 inches

Therefore the length of wire that is left can be calculated as follows

44 feet 8 inches - 26 feet 10 inches

= 17 feet 10 inches

Answer:

6 numbers greater than 6, plus 1,3 and 5- so nine total.

9/12, simplified 3/4

Answer:

7.5 pounds

Step-by-step explanation:

The computation is shown below:

let  us assume x be the pounds of cashews,

and the total pounds will be x + 10

Now the equation is  

10($1.5) + x(5.00) = (10 + x)(3.00)

15 + 5x = 30 + 3x

2x = 15

x = 7.5 pounds

Answer:

A.

Step-by-step explanation:

I'm pretty sure that's right.

{362- {6x3+(48/2) x2]}+3(9+4)

{362- {6x3+24 x2]}+3(9+4)

{362- 66+3(9+4)

{362- 66+3(9+4)

{296+3(13)}

(296+39)

335

hope this help you

have a good day

Answer:

Step-by-step explanation:

Solving with one operation at each step:

Answer:

2root(58) == 15.23 miles

Step-by-step explanation:

Find distance between two points --> root( (x2 - x1)^2 + (y2 - y1)^2 ) = root (3^2 + 7^2) = root ( 58), as one unit is two miles then 2* root(58) = 15.23 miles.

If you find it is helpful plz give Brainliest

Answer:

Step 2

Step-by-step explanation:

Step 2 b/c [tex]4\frac{1}{8}[/tex] = [tex]\frac{33}{8}[/tex]

Answer:

6 of his class are girls

Step-by-step explanation:

24/4=6

Answer:

111.4

Step-by-step explanation:

trust

Answer:

b. Timeliness, Assurance, Needs, Reliability and Empathy.

Step-by-step explanation:

The customer rating is necessary for a business to improve its performance. A company will be able to improve its customer service based on customer reviews and feedback. The feedback of the customers is important in terms of service provision whether they rate the company based on responsiveness to the queries, timeliness of query resolution and other similar criteria.

Answer:

15000 meters in five days

Step-by-step explanation:

There are 1000 meters in a kilometer.

3 x 1000 = 3000

3000 meters per day

3000 x 5 = 15000

15000 meters for 5 days

Answer:

15km or 15000m

Step-by-step explanation:

We have a speed, which is 3 km a day, and a time which is 5 days.

If speed is equal to distance/time

Distance must equal speed multiplied by time, or 3 times 5.

This gives us 15km

If a kilometer is 1000 meters, then 15km is 15 times 1000, or 15000

Answer:

81986088

its even

Step-by-step explanation:

just look it up on your search bar? Im confused on what your asking. Sorry if  I answered wrong

Answer:

x = 7

Step-by-step explanation:

As in right triangle, the other two angles sum up equal to 90 degree, so 6x + 15 + 33 = 90, then solve for x, 6x = 90 - 15 - 33 = 42, then x = 7.

Answer:

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 62−3=59 62 - 3 = 59 .

Step-by-step explanation:

Answer:

The answer is 59

Step-by-step explanation:

Answer:

i believe number 4 is the answer

Answer:

Part a) The area of the figure is [tex]\frac{9}{2} (4+\pi ) cm^{2}[/tex]

Part b) The perimeter of the figure is [tex]3(2+2\sqrt{2} +\pi )cm[/tex]

Answer:

The answer is "[tex]\bold{r=9, \lambda=\frac{1}{2}\ and \ \ \text{exponential, 9 steps}}[/tex]"

Step-by-step explanation:

In point a:

We are aware of the random gamma variable X:

[tex]\to \mathbb{E} =\frac{r}{\lambda}\\\\\to Std(X) =\frac{\sqrt{r}}{\lambda}\\\\[/tex]

It is given:

[tex]\to \mathbb{E} = 18 \\\\\to std(X)=6[/tex]

[tex]\to 18=\frac{r}{\lambda}\\\\ \to 6=\frac{\sqrt{r}}{\lambda}\\\\[/tex]

Substituting the value:

[tex]\to \frac{\sqrt{r}}{6}=\frac{r}{18}\\\\\to r=9\\\\\to \lambda=\frac{1}{2}\\\\[/tex]

In point b:

When building the Erlang/Gammas distribution, these could reasonably be assumed to become an exponential distribution only with \lambda = 1/2 parameter with one step but to be r = 9 for one step.