A steel ball is traveling through water with a speed of x meters per second, where x is positive. The drag force, F, in newtons, N, is: F = 0.5 + 0.004(x + 50)(x-2.5). At what speed in meters per second does the ball have a force of 0.5 N, on it?

Answers

Answer 1

Answer:

x = 2.5m/s.

Step-by-step explanation:

Given that F = 0.5 + 0.004(x + 50)(x – 2.5), where x is the speed in m/s and F is the force in N. To know the speed, x, with F = 0.5N, we have:

0.5 = 0.5 + 0.004(x + 50)(x – 2.5)

This gives

0.004(x + 50)(x – 2.5) = 0 (after adding –0.5 to both sides).

For the multiplication to be 0, (x + 50)(x – 2.5) = 0 because 0.004 is not equal to 0.

Hence

x = –50 or x = 2.5

Since it is said from the question that x is positive then x = 2.5m/s.


Related Questions

The two stadiums with the largest capacities are Marshfield Stadium and Bowden Stadium. Marshfield Stadium has a capacity of 7,675 more than Bowden. If the combined capacity for the two stadiums is​ 210,355, find the capacity for each stadium.

Answers

Answer: Capacity of Marshfield Stadium is 109,015 and capacity of Bowden is Bowden.

Step-by-step explanation:

Let x = Capacity of Marshfield Stadium.

y = Capacity of Bowden.

As per given, we have

x - y = 7,675               (i)

x+y  =  210,355               (ii)

2x = 218030    (iii)

[tex]\Rightarrow\ x= \dfrac{218030}{2}\\\\\Rightarrow\ x= 109015[/tex]

Put value of x in (i) , we get

109015 - y = 7675

⇒ y= 109015 - 7675

⇒ y= 101,340

Hence, capacity of Marshfield Stadium is 109,015 and capacity of Bowden is Bowden.

HEP PLSSSSSSSSSSSSSS ILL PICK BRIABLIST

Answers

Answer:

1=43

2=61

3=79

4=97

5=115

Step-by-step explanation:

25+18=43

43+18=61

and so on

Answer:

sem 1= 43

sem 2= 25

sem 3= 25

sem 4 = 25

sem 5= 25

Step-by-step explanation:

This seems like this should be correct. i hope this helped

On a spinner, there are 10 equal spots, numbered 1-10. What is the probability of spinning a 5 and then spinning a 5 again?

Answers

Answer:

1 out of ten

Step-by-step explanation:

so if there are ten sides and all are numbered 1-10 then 5 is only one tenth.

A grocery store is offering 5% off all purchases if you bring your own bags to carry your groceries.

If the total bill, after applying the monetary incentive, is $116.80, what was the amount of the bill before the incentive?





a $122.64


b $110.96


c $121.80


d $122.95



Please answer before 2:00 pm

12/16/2020 at 1:46 pm

Answers

Answer: $122.64

Step-by-step explanation:

5% of $116.80 is $5.84

$116.80 + $5.84 = $122.64

1. A theater is designed with 12 seats in the first row, 18 in the second row, 24 in the third row and so on. If this
seating pattern continues, how many seats are the 20th row?
2. Rewrite the equation 8x + 4y = 16 in slope-intercept form.
3. Rewrite the equation 20x - 5y = 30 in slope-intercept form.

Answers

Answer:

1. 126

2. y = -2x + 4

3. y = 4x - 6

Step-by-step explanation:

1. 12 + 6 * 19 = 126

2. 8x + 4y = 16

   (4y = -8x + 16) / 4

    y = -2x + 4

3. 20x - 5y = 30

   (-5y = -20x + 30) / -5

    y = 4x - 6

Consider the triangle ABC where AB=17cm, AC=14cm and the angle BAC = 118°. Find the length of BC.
14cm
А.
С
118
17cm
B

Answers

Answer:

22cm

Step-by-step explanation:

use Pythogoras Theorem

answer correct for brainliest

Answers

Answer:

D. Both a relation & a function.

Step-by-step explanation:

A relation is a set of one or more ordered pairs. A function is a relation in which each input has exactly one output. A set of ordered pairs represents a function if, for every value of x, there is only one value of y. In the given situation, the x-coordinate is the number of weeks since she starts recording and the y-coordinate is the number of books read per week. It can be seen from the given set that each x-value corresponds with exactly one y-value. Therefore, the set of ordered pairs is best described as both a relation and a function.

Josh and Mae work at a concession stand. They each earn $8 per hour, Josh worked three hours more than Mae. If Josh and Mae earned a total of $120, how many hours did Josh work?

I need helppp

Answers

Answer:

12 hours

Step-by-step explanation:

8x15=120

If Josh worked 3 hours more, Josh worked 3hours more than Mae, he worked 10.5 hours and Mae 4.5 hours



I’m not %. sure, but I think you can see what I was doing.



Super sorry if I’m wrong.

Rick and Jon start walking from the same location. Rick starts 15 seconds before Jon and walks at a rate of 3 feet per second. Jon walks at a rate of 4 feet per second in the same direction as Rick. Which equation could you solve to find how long it will take Jon to catch up with Rick?

Answers

Answer:

hfjf fnnc v jud dbhj  ejem emd  jfbf

Step-by-step explanation:

Who knows how to do this I TRULY NEED HELP

Answers

Answer:

x = 10

Step-by-step explanation:

It's given in the question that both the traingles JCD & JKL are similar. So their ratio of corresponding similar sides will be proportional to each other.

[tex] = > \frac{JD}{JL} = \frac{JC}{JK} = \frac{DC}{LK} [/tex]

[tex] = > \frac{15}{50} = \frac{8 + x}{60} = \frac{DC}{LK} [/tex]

[tex] = > \frac{15}{50} = \frac{8 + x}{60} [/tex]

[tex] = > 8 + x = \frac{15 \times 60}{50} = 18[/tex]

[tex] = > x = 18 - 8 = 10[/tex]

PLZ HELP WILL GIVE BRAINLY
Question 3 of 17
Shane offers to pay for 12 of his friends to play laser tag.
but 6 of them don't want to play.
If laser tag costs $3 per person, how much will Shane spend on his friends?
Choose the correct expression and solution to this problem.

Answers

it’s B he’s gonna pay $18
12 friends but 6 don’t want to play: 12-6=6
so 6 friends total
3$ per person
so 6•3=18
he will spend 18 dollars on his friends
THE ANSWER IS B

5. A video store charges a monthly
membership fee of $12.00, but charges to
rent each movie is only $1.50 per movie.
Another store has no membership fee, but it
costs $3.00 to rent each movie. How many
movies need to be rented each month for
the total fees to be the same from either
company?

Answers

Answer:

8

Step-by-step explanation:

With the information from the question, you create the equation 1.5x+12=3x where x represents the fee per movie. subtract 1.5x on each side, leaving you with 12=1.5x, and divide 12 by 1.5, leaving you with the answer of x=8.

The answer is 8 ............

am ÷ an = _________​

Answers

am divided by an equals= am over an or am/an

(4x + 23 + 221 - 10) (2+2)

Answers

Answer:

238+4x=242x

Step-by-step explanation:

Answer:

16x+936

You would just have to simplify and combine like terms

This is hard I need help

Answers

Answer:

Step-by-step explanation:

2,618×[tex]10^{5}[/tex]

[tex]10^{5}[/tex]=100,000

An easy way to do this is to put the number of zeros from 10 into the number

261,800,000

Please help me this makes no sense

Answers

The answer to this would be Purple

Answer:

the 4 one

Step-by-step explanation:

Which statement best illustrates using the vertical line test to determine if the graph below is a function of x? On a coordinate plane, a circle is centered around (0, 0).

Answers

Answer:

Where are the statements to choose from??

Answer:

The graph is a function of x because the line y = 5 does not intersect the graph

Step-by-step explanation:

Peter is buying a bicycle for $299. What amount of sales tax must he pay if she sales the tax rate is 5%?

Answers

Answer:

14.95

Step-by-step explanation:

You would pay $14.95 in taxes


Hope this helps :)

ANSWER ASAP PLZ Which expression is equivalent to 24 + 64?

8(3 + 64)
8(16 + 56)
8(3 + 8)
8(16 + 64)

Answers

Answer:

8(3+8)

Step-by-step explanation:

24+64=88

Now you have to find which expression equals 88.

8(3+64)=8x3+8x64=24+512=536

8(16+56)=8x16+8x56=128+448=576

8(3+8)=8x3+8x8=24+64=88

Therefore, 8(3+8) is correct.

Answer:

C

Step-by-step explanation:

8+3 is 11 and 11 x8 is 88 and 24 + 64 is 88

                                    And I have a question for you

                                              are you flvs

Helppp ahhhhhhhh. Plzzzz

Answers

Answer:

15-67X/30X

Step-by-step explanation:

The two figures below are similar. The larger figure is the
pre-image. What is the scale factor?

Answers

Answer:

5:1

Step-by-step explanation:

The sides on the bigger triangle is 5 times the size of the sides on the smaller triangle.

Find the slope, or rate of change, from the following ordered pair

(16,2) and (32,4)

Answers

Answer:

m = [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Slope Formula is...

m= rise / run      or    [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Two Coordinate Points / Ordered Pair: (16,2) and (32,4)

Your rise is...

4 - 2

Your run is...

32 - 16

Together the fraction reads...

(4 - 2) / (32 - 16)

Then do the subtracting to get....

2 / 16 ( 2 over 16)

Don't forget to simplify...

*2 can go into 2 and 16

Making the equation....

1 / 8 (one over 8)

So your m (slope) is ...  [tex]\frac{1}{8}[/tex]

Find the slope of the line that passes through each pair of points.
C(0, –2), D(3, -2)

Answers

Answer:

0

Step-by-step explanation:

y2-y1/x2-x1

-2+2/3-0

0/3

= 0

hey guys im going to quit on thursday, giving tons of points there

Answers

Answer:

Oh im sorry!!!! but free points are free points

Step-by-step explanation:

Help please!

These are Edward's calculations for his net worth: Net Worth = $400 - $500 = -$100. What does the negative net worth mean?

A)His liabilities are greater than his assets
B) His assets and liabilities are the same
C) His assets are greater than his liabilities
D) His assets and liabilities do not affect each other.

Answers

Answer:

A. His liabilities are greater than his assets.

Step-by-step explanation:

a company will clean jarrel carpets for a total of $71 jarrel has a coupon for 20% of the total how much will jarrel save when he used the coupon?​

Answers

Answer: 14.2 I hope im Right but it’s a simple question

Step-by-step explanation:

Answer:

do whatever your instincts are telling you to do

Step-by-step explanation:

Help ASAP!!! I have to do two ixl’s Q.4 & Q.2, im in 8th grade btw and heres one of my questions

Answers

Answer:

5:5

Step-by-step explanation:

A website rents new-release movies for $3 and older movies for $2. The revenue, r, of the website can be represented by the equation r = 3n + 2m, where n is the number of new-release movies rented and m is the number of older movies rented. Last month, the revenue was $6,840 and 1740 new release movies were rented Enter the number of older movies that were rented by solving for m.

m =​

Answers

Answer:

[tex]m=810[/tex]  

Step-by-step explanation:

[tex]r=3n+2m[/tex]

Where

[tex]r=6840\\n=1740\\m=?[/tex]

[tex]6840=3(1740)+2m\\6840=5220+2m\\6840-5220=5220+2m-5220\\1620=2m\\\frac{1620}{2} =\frac{2m}{2} \\m=810[/tex]

Answer :[tex]m=810[/tex]

PLEASE MARK ME AS BRAINLIEST

(3x - 1)(x + 5)
What the answers

Answers

Answer:

3x^2+14x-5

Step-by-step explanation:

Use the foil method. Multiply 3x by (x+5) first, then multiply -1(x+5). This produces 3x^2+15x-x-5, reduce to get 3x^2+14x-5.

The product of the factors (3x - 1) and (x + 5) will be 3x² + 14x - 5.

Given that:
Factors, (3x - 1) and (x + 5)

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed.

The product of the factors (3x - 1) and (x + 5) will be given as,

⇒ (3x - 1)(x + 5)

⇒ 3x² + 15x - x - 5

⇒ 3x² + 14x - 5

More about the polynomial link is given below.

https://brainly.com/question/17822016

#SPJ6

HELPPPPP I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I think B

Step-by-step explanation:

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