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

What is the meaning of gcf in math terms

Answers

Greatest common factor

y=-4x+10 in standard form

Answers

Ans: y+4x=10

Step-by-step explanation:

Hope this helps :) (please mark brainliest)

Answer:

4x+y=10 or B

Step-by-step explanation: isolating C/10 will give you the answer

to the nearest tenth

Answers

Dang your device is so dim turn it up I can’t read the question
Hii!attached is a pic of the answer!have a good day!

help me with this please​

Answers

Answer:

30-40

Step-by-step explanation:

because on the graph thats where they cross.

help me and the 4 one says how many tables in a row are needed to seat 127 students explain your answear i have 30 minutes please hurry​

Answers

Answer:

#1 Is 7 Students

#2 Is 9 Students

#3 Is 16 Students

#4 is 125 tables

3. What is the equation of a line parallel to y = -4x + 6 that passes through the
point (2, -1)? *

Answers

Parallel = same slope
y = -4x + b
Plug in a point
-1 = -4(2) + b
-1 = -8 + b, b = 7
Solution: y = -4x + 7

On a coordinate plane, 2 triangles are shown. Triangle 1 has points at A (negative 3, 4), B (negative 2, 1), C (negative 4, 1). Triangle 2 has points at A prime (4, negative 2), B prime (3, negative 5), C prime (5, negative 5).
Which rule represents the translation from the pre-image, ΔABC, to the image, ΔA'B'C'?

(x, y) → (x + 7, y + 6)
(x, y) → (x + 7, y – 6)
(x, y) → (x – 6, y + 7)
(x, y) → (x + 6, y + 7)

Answers

Answer:

On a coordinate plane, 2 triangles are shown. Triangle F G H has points (1, 1), (4, 5), (5, 1). Triangle F prime G prime H prime has points (negative 1, negative 1), (negative 4, negative 5), (negative 5, negative 1). What are the coordinates of vertex F" of ΔF"G"H"?

Step-by-step explanation:

It's B. (x, y) → (x + 7, y – 6)

50 POINTS An airplane is traveling at a speed of 240 miles/hour with a bearing of 110°. The wind velocity is 56 miles/hour at a bearing of 325°. What are the plane's actual speed and direction angle? (hint: the direction angle is measured from the positive x-axis in a counter-clockwise direction)
A.
The speed is 179.82 miles/hour, and the direction angle is 100.60°.
B.
The speed is 179.82 miles/hour, and the direction angle is 349.40°.
C.
The speed is 196.77 miles/hour, and the direction angle is 115.60°.
D.
The speed is 196.77 miles/hour, and the direction angle is 349.40°.

Answers

Answer:

the speed is 179.82 miles/hour .and the direction angle is 100.60

I believe you should pick A

please help very urgent!!
how do you find the growth rate (like the percentage of growth each week) for an exponential function when you only have the starting value, the amount of weeks and the ending value???? (for example, a plant starts at (0,2) when it is planted, after 18 weeks it is 20 inches) how do you find out the percent of growth each week to plug it into an equation???

Answers

9514 1404 393

Answer:

  the n-th root of the ratio of ending to starting values, less 1

Step-by-step explanation:

When I have starting and ending values over a time period, I usually use those directly in the exponential equation. If you're asked for a percentage growth rate, then you have to convert the growth factor to a growth rate.

__

The exponential equation can be written ...

  f(t) = (initial value) × ((final value)/(initial value))^(t/(time period))

In your example case, this would be ...

  f(t) = 2 × (20/2)^(t/18)

  f(t) = 2(10^(t/18)) . . . . . . simplified

__

To convert this to the form ...

  f(t) = 2(1 +(growth rate))^t

recognize that ...

  (1 +(growth rate)^t = (10^(1/18))^t

So, you need to find the value of ...

  10^(1/18) = 10^(1/18) ≈ 1.13646 = 1 + 13.646%

Then the growth rate is about 13.6% each week.

__

Sometimes, you want to use this in the form ...

  f(t) = (initial value)×(1 + (growth rate))^t

and sometimes you want the form ...

  f(t) = (initial value)×e^(kt)

When you solve for k, you find it is ...

  k = ln(1 + (growth rate)) . . . . . . . . where ln(x) is the natural logarithm of x

Here, that is ...

  k = ln(10^(1/18)) = ln(10)/18 ≈ 0.12792

__

Your final growth equation could be any of ...

  f(t) = 2(10^(t/18)) . . . . . . . my personal favorite, as no rounding is involved

  f(t) = 2(1.13646^t)

  f(t) = 2e^(0.12792t)

This problem im stuck on please help

Answers

Answer:

Step-by-step explanation:

Its the 3rd one

The 5/6 - 6/8 is the correct answer

-7(x-4)

.......................

Answers

Answer:

28−7x

i think :]

WILL GIVE BRAINLIEST PLS HELP !!

Answers

Answer:

red

Step-by-step explanation:

I did it too I know it is red

An elevator is supported by a cable and is moving downward through the elevator shaft at constant speed.
How does the upward tension force in the cable compare to the downward force of gravity?
A
The only force acting on the elevator is the force of gravity because it is moving downward.

B
The upward tension force in the cable is greater than the downward force of gravity.

C
There are no forces acting on the elevator because it is moving at constant velocity.

D
The upward tension force in the cable is equal to the downward force of gravity.

Answers

Answer: D The upward tension force in the cable is equal to the downward force of gravity.

Step-by-step explanation:

The system of linear equations y = 2 x minus 1 and y = negative 4 x minus 1 is graphed below. On a coordinate plane, 2 lines intersect at (0, negative 1). What is the solution to the system of equations? (0, –1) (–1, 0) (0, 1) (1, 0)

Answers

Answer:

0, -1

Step-by-step explanation:

trust me I just took the exam on edge 2020

The solution to the given system of equations will be (0, -1). which is the correct option (B).

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

The system of linear equations y = 2 x minus 1 and y = negative 4 x minus 1 which is given in the question.

y = 2x - 1     ....(i)

y = -4x - 1   ....(ii)

Substitute the value of equation (i) in equation (ii) and solve for variable x :

2x - 1 = -4x - 1

Rearrange the terms of variable "x" and combine them,

2x + 4x = -1 + 1

6x = 0

x = 0

Substitute the value of x = 0 in equation (ii) and solve for variable y :

y = -4(0) - 1

y = -1

Therefore, the solution to the given system of equations will be (0, -1).

Learn more about the Linear equations here:

https://brainly.com/question/13738061

#SPJ6

1 1/5 divided by 3 4/5

Answers

Answer:

6 /19

≅ 0.3157895

Step-by-step explanation:

Answer:

6/19

Step-by-step explanation:

This is your answer because first you have to make the to mixed fractions to improper fraction 6/5 and 22/5 are your improper fractions from there you divide them and that's how you get your answer

Hope this helps:)

Pls mark me brainlist

when written as either 8-15-17 or 15-8-17, the date August 15, 2017 has the property that the sum of the squares of the first two numbers is equal to the square of the third number. What is the first date after August 15, 2017 that has this property?

Answers

Answer:

...

Step-by-step explanation:


HELP LOL, i dont understand

Answers

Answer:

C

Step-by-step explanation:

Since the lines make a linear pair,

(5x+10)+(2x-5)=180

7x+5=180

7x=175

x=25

now, we just plug in

5(25)+10

125+10

135

What are the solutions to this quadratic equation? 5x^2-7-18=0

Answers

Answer:

x=±√5

Decimal form:

x=2.23606797

Step-by-step explanation:

Can someone help please. I will give brainliest :)

Answers

Answer:

the answer is C bcuz when you add 77 with 99 you get 176 and 176 is only divisible with 11

Step-by-step explanation:

Please help as soon as possible! Thank you so much!!

Answers

Answer:

5. SAS

6. GLJ is congruent to HLK

Translate this phrase into a mathematic expression: “A number less than 7”

Answers

Answer:

7 - ?

Step-by-step explanation:

Write and expression like and you should have a right answer. Hope this helps and good luck :)

Answer:

x<7

Step-by-step explanation:

Hope this helps.

Jessica's parents borrow $4,500 from the bank for a new deck. The interest rate is 5.5% per year. How much simple interest will they pay if they take 4 years to repay the loan?

Answers

Answer:

tell me the answer

rn

Step-by-step explanation:

1dgxr 3wa 4tws t

Answer:

b and d

Step-by-step explanation:

i just took the quiz

Complete the table. Round to the nearest cent if necessary.

Item Price Markup % Markup Retail Price
Shoes $75.05 32% $
$

Answers

Answer: 99.07$
Steps: First turn 32% into a decimal by moving the decimal right 2 places. You get 0.32. Then multiply 75.05$ by your decimal. You get 24.016. Add that to 75.05 and round your cent up, getting 99.07$ Sorry if i am incorrect this is my first answer. Hope I helped :)

If a(x)=2x+3 and b(x)=x2+4x, what is (a∘b)(x)?

Answers

for this problem you need to multiply a and b.
set them up like this
(2x+3)(x^2+4x) and then FOIL
Your final answer should be : 2x^3+11x^2+12x

Help me ASAP 10 points plsssss helpppp

Answers

Answer:

its just 31^2=25^2 + b^2

Step-by-step explanation:

Julie works at a pizza place in Phoenix. She receives a 15% discount on any pizza that she buys. If a large pizza costs $14.00, what is the amount of Julie’s discount? What is the final cost of her pizza?

Answers

Answer:

The final cost of her pizza is $11.90

Step-by-step explanation:

First we need to convert 15% into a decimal, which is 0.15.

Now we multiply $14 and 0.15.

$14 × 0.15 = $2.10.

Now we subtract $2.10 from $14.00.

$14.00 - $2.10 = $11.90

If george drives at a steady rate of 65 miles per hour, how many miles will he travel in 1.5 hours

Answers

He will travel the distance of 97.5 miles

A survey of 100 doctors revealed that 2 put of every 5 doctors recommended Brand M deodorant. Based on the results, how many doctors did NOT recommend Brand M.


A.20
B.60
C.140
D.40​

Answers

Answer:

B. 60

Step-by-step explanation:

what is the best estimate for V18

Answers

Answer:

34/8-16/3-14/9

Step-by-step explanation:

Find the value of x when 6−4x=6x−8x+8.

Answers

X=-1
I double checked it

Answer:

8x+8.

Step-by-step explanation:

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