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Gennadij [26K]
3 years ago
7

A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 meter

higher than the bow of the boat. If the rope is pulled in at a rate of 1 meter per second, how fast is the boat approaching the dock when it it 8 meters from the dock?

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
6 0

Answer:

kindly check the solution in figure below.

Step-by-step explanation:

You might be interested in
Please help!
aleksklad [387]

Answer:

23760 pounds

Step-by-step explanation:

396 passengers

60 pounds for each passenger

total pounds plane can carry=passengers × pounds

= 396×60

= 23760 pounds

....

3 0
2 years ago
Mary is writing invitations for her birthday party. She plans to invite 16 friends. So far, Mary has written 12 invitations. Whi
love history [14]

Answer:

The answer is 75% and 75/100

8 0
3 years ago
Item 8
ludmilkaskok [199]
So, I didn't quite understand your question clearly, but I'll try my best to answer it.

So, the first question is quite simple: Did the runner have a % decrease in his time or an increase.
Well, 7:45 is minor than 5:51. So, his time decreased.

2nd question:
The percent of change. Well, first things first 7:45 has 2 different units, wich are minutes and seconds, I suppose. Same goes for 5:51.
So let's put everything in seconds. multiply both the 7 and 5 for 60(for every minute has 60 seconds.)

That means:
7*60= 420+45 = 465.
5*60=300+51=351.

Now, let's do the math itself:
465 -> 100%
351 -> x%
 Is equal to about  75,5%
How much did it decrease then?
(75,5-100)%= 24,5%, approximately

8 0
3 years ago
A sample survey interviews SRSs of 500 female college students and 550 male college students. Researchers want to determine whet
stira [4]

Answer:

Option (d) and (e)

Step-by-step explanation:

We are given that a sample survey interviews SRS of 500 female college students and 550 male college students. And Researchers want to determine whether there is a difference in the proportion of male and female college students who worked for pay last summer.

In all, 410 of the females and 484 of the males say they worked for pay last summer.

From this, Null Hypothesis, H_0 : p_1 = p_2 {means proportion of male and female college students who worked for pay last summer are same}

Alternate Hypothesis, H_1 : p_1\neq p_2 {means there is a difference in the proportion of male and female college students who worked for pay last summer}

Now, since we know that results were statistically significant at the 1% level.

So, if p-value is less than the significance level ⇒ we will reject H_0

     if p-value is more than the significance level ⇒ we will not reject H_0

From the options given it is sure that P-value is less than 1%,i.e.;

<em>P-value is less than the significance level, so we will reject null hypothesis and conclude that there is convincing evidence that the proportion of all male college students in the study who worked for pay last summer is different from the proportion of all female college students in the study who worked for pay last summer. </em>

Also, option (d) and (e) are same in my opinion.

4 0
3 years ago
Can someone offer help to this ratio question
AlekseyPX

Answer:

Cherry Pink has not been made (25:17\neq 4:3)

Step-by-step explanation:

Given that she already has 60litres of Rose Pink paint, we use the ratios to determine the volumes of red/white used:

Rose Pink=60l\\\\Red=\frac{1}{3}\times 60\\\\=20l\\\\White=\frac{2}{3}\times 60\\\\=40l

#Add these proportions to the additional red and white paints to determine if Cherry Pink has been made:

V_r=20l+80l\\\\=100l\\\\V_w=40l+28l\\\\=68l\\\\\therefore r:w=100l:68l     \ \ \ \ \  \ \ \ \  \ \# simplify\\\\r:w=25:17

We equate this proportion to the Cherry Pink proportion to verify if Cherry pink has been made:

25:17\neq 4:3

Hence, Cherry pink has not been made.

3 0
3 years ago
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