1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ratling [72]
3 years ago
6

PLEASE HELP!! The amount a string stretches varies linearly with the mass applied to the spring, as can be seen in the video. In

the video, with no additional mass, the hanger was 30.6 cm off the ground. With 150 grams of additional mass, the hanger was 16.2 cm off the ground.
A wooden block stretched the spring so the hanger was 24.8 cm off the ground. Determine the mass of the wooden block, to at least 1 decimal place.
Mathematics
2 answers:
Aleksandr [31]3 years ago
7 0
Hello there!

d(m) = k*m
<span>d(m) = 0.096 x m = 30.6 - 21.7
= (30.6 - 21.7)/0.096 = 92.7 grams
The answer is 92.7 to one decimal place

</span>Hope This Helps You!
Good Luck :) 
 
vazorg [7]3 years ago
4 0

Answer: The mass of the wooden block is 60.4 grams.

Step-by-step explanation:

Since we have given that

Without any additional mass , the hanger was 30.6 cm off the ground.

Let the function will be

f(m)=km, where k is a constant.

With 150 grams of additional mass, the hanger was 16.2 cm off the ground.

f(150)=30.6-16.2\\\\f(150)=14.4\ cm

So, our function becomes,

f(150)=k\times 150\\\\14.4=k\times 150\\\\\frac{14.4}{150}=k\\\\k=0.096

Now, our function becomes,

f(m)=0.096m

Now, the wooden block stretched the spring so, the hanger was 24.8 cm off the ground.

The mass of the wooden block is given by

f(m)=0.096\times m=30.6-24.8\\\\0.096\times m=5.8\\\\m=\frac{5.8}{0.096}\\\\m=60.4\ grams

Hence, the mass of the wooden block is 60.4 grams.

You might be interested in
Mario and Julio are working together to detail cars. When they work together, they can wash7 cars in 2 hours. If mario works alo
Morgarella [4.7K]

Answer: 6.56hours.

Step-by-step explanation:

Given;

Mario and julio can wash 7 cars in 2hours

While only mario can wash 5 cars in 3hours

Let m represent the rate at which mario work

j represent the rate at which julio work

t represent the rate at which mario and jolio combined work.

t = m + j

j = t -m .......1

t = 7 cars per 2hours = 7/2 = 3.5cars/hour

m = 5 cars per 3hours = 5/3 = 1.67cars/hour

From eqn 1

j = t -m = 3.5 - 1.67 = 1.83cars/hour

So, to determine the number of time it will take julio to detail 12 cars

Where = number of cars detailed

N = rate × time = j × time

time = N/j

time = 12/1.83

time = 6.56 hours

Therefore, it will take julio to detail 12 cars is 6.56 hours.

5 0
4 years ago
In order to make money on lones, financial institutions are paid back more than they loan. suppose borrow $350,000 to buy a hous
Korolek [52]

1500.56 x 12 = 18006.72 per year

18006.72 x 30 = 540201.60


540201.60-350000 = 190201.60

5 0
3 years ago
Write a recursive formula for the following sequence:10, 5, 0, -5,... *
Alika [10]

Answer:

decrease by 5

Step-by-step explanation:

n= 10

then in sequence,

n= n-5

4 0
3 years ago
Find the limit
Lana71 [14]

Step-by-step explanation:

<h3>Appropriate Question :-</h3>

Find the limit

\rm \: \sf {\displaystyle{\lim_{x\to 1}}} \: \left[\dfrac{x-2}{x^2-x}-\dfrac{1}{x^3-3x^2+2x}\right]

\large\underline{\sf{Solution-}}

Given expression is

\rm \: \sf {\displaystyle{\lim_{x\to 1}}} \: \left[\dfrac{x-2}{x^2-x}-\dfrac{1}{x^3-3x^2+2x}\right]

On substituting directly x = 1, we get,

\rm \: = \: \sf \dfrac{1-2}{1 - 1}-\dfrac{1}{1 - 3 + 2}

\rm \: = \sf \: \: - \infty \: - \: \infty

which is indeterminant form.

Consider again,

\rm \: \sf {\displaystyle{\lim_{x\to 1}}} \: \left[\dfrac{x-2}{x^2-x}-\dfrac{1}{x^3-3x^2+2x}\right]

can be rewritten as

\rm \: \sf {\displaystyle{\lim_{x\to 1}}} \: \left[\dfrac{x-2}{x(x - 1)}-\dfrac{1}{x( {x}^{2} - 3x + 2)}\right]

\rm \: = \: \sf {\displaystyle{\lim_{x\to 1}}} \: \left[\dfrac{x-2}{x(x - 1)}-\dfrac{1}{x( {x}^{2} - 2x - x + 2)}\right]

\rm \: = \: \sf {\displaystyle{\lim_{x\to 1}}} \: \left[\dfrac{x-2}{x(x - 1)}-\dfrac{1}{x( x(x - 2) - 1(x - 2))}\right]

\rm \: = \: \sf {\displaystyle{\lim_{x\to 1}}} \: \left[\dfrac{x-2}{x(x - 1)}-\dfrac{1}{x(x - 2) \: (x - 1))}\right]

\rm \: = \: \sf {\displaystyle{\lim_{x\to 1}}} \: \left[\dfrac{ {(x - 2)}^{2} - 1}{x(x - 2) \: (x - 1))}\right]

\rm \: = \: \sf {\displaystyle{\lim_{x\to 1}}} \: \left[\dfrac{ (x - 2 - 1)(x - 2 + 1)}{x(x - 2) \: (x - 1))}\right]

\rm \: = \: \sf {\displaystyle{\lim_{x\to 1}}} \: \left[\dfrac{ (x - 3)(x - 1)}{x(x - 2) \: (x - 1))}\right]

\rm \: = \: \sf {\displaystyle{\lim_{x\to 1}}} \: \left[\dfrac{ (x - 3)}{x(x - 2)}\right]

\rm \: = \: \sf \: \dfrac{1 - 3}{1 \times (1 - 2)}

\rm \: = \: \sf \: \dfrac{ - 2}{ - 1}

\rm \: = \: \sf \boxed{2}

Hence,

\rm\implies \:\boxed{ \rm{ \:\rm \: \sf {\displaystyle{\lim_{x\to 1}}} \: \left[\dfrac{x-2}{x^2-x}-\dfrac{1}{x^3-3x^2+2x}\right] = 2 \: }}

\rule{190pt}{2pt}

7 0
3 years ago
Read 2 more answers
I need help ASAP 30 points+brainleist
yulyashka [42]

Answer:

A) 40 feet.

B) 7 inches.

Step-by-step explanation:

A) To acquire 8 inches, multiply the corresponding scale factor by 8:

1 inch equals 5 feet; 8 inches equals 40 feet

The genuine house stands 40 feet tall.

B) You can write the percentage if you want...

dwg / (35 feet) = 1 in / (5 ft)

When you multiply by 35 feet, you get...

7 in dwg = (1 in)(35 ft)/(5 ft)

In the scale drawing, the home measures <em>7 inches in length</em>.

5 0
2 years ago
Read 2 more answers
Other questions:
  • 2 2/8 - 1 7/8 = ?<br>please help me ​
    15·2 answers
  • Sara was dividing 0.6 by 0.7.
    8·2 answers
  • Which are the solutions of x^2 = -7x-8
    14·1 answer
  • Find quadratic equation having zeroes as -3/alpha and 2/alpha
    9·1 answer
  • A plumber charges a service fee of $40 plus $25 per hour for labor. Write a function rule for the total cost of hiring the plumb
    6·1 answer
  • HW #35: similar polygons
    9·1 answer
  • Suppose the true proportion of students at a college who study abroad is 0.25. I select a random sample of 40 students from the
    14·1 answer
  • Help guysss find the slope of the line
    6·2 answers
  • I need help with algebra 2 ​
    12·2 answers
  • Evaluate <br><br><br><br> Also I’m giving u 20 points :)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!