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
AURORKA [14]
2 years ago
8

A student is working on a project for which he records the revolutions per minute (rpm) for a small electric motor as he increas

es the voltage in a circuit. Here is the table showing the results:
Voltage
(volt) Motor Speed
(rpm)
0 0
1 25
2 50
3 75
4 100
Create a graph showing the relationship in the table. Think about the title, axis labels, and whether you need to connect the points with a line.
Mathematics
1 answer:
Ber [7]2 years ago
8 0

Answer:

See below ↓

Step-by-step explanation:

The relation is :

  • Let y = Motor Speed and x = Voltage
  • y = 25x

<u>Title</u> : Variation of Motor Speed with Applied Voltage

<u>x-axis label</u> : Voltage (volt)

<u>y-axis label</u> : Motor speed (rpm)

As it constantly varies with a value of x and they are not isolated data points, they should be connected with a line.

You might be interested in
A force of 60 N is used to stretch two springs that are initially the same length. Spring A has a spring constant of 4 N/m, and
goblinko [34]

Answer:

D:Spring A is 3 m longer than spring B because 15 – 12 = 3.

Step-by-step explanation:

In this question, you should remember the Hooke's Law in physics.

The Hooke's Law simply explains that the extension that occurs on a spring is directly proportional to the load applied on it.

The mathematical expression for this law is

F=-kx

where;

F= force applied on the spring

x = the extension on the spring

k= the spring constant which varies in spring.

The question will need you to calculate the extension on the springs A and B then compare the values obtained.

<u>In spring A</u>

Force, F=60N and spring constant ,k=4 N/m

To find the extension x apply the expression;

F=-kx\\\\60=-4*x\\\\60=-4x\\\\\frac{60}{-4} =\frac{-4x}{-4} \\\\\\-15=x

Here the spring extension is 15 m

<u>In spring B</u>

Force, F=60N and spring constant , k=5N/m

To find the extension x apply the same expression

F=-kx\\\\60=-5*x\\\\60=-5x\\\\\\\frac{60}{-5} =\frac{-5x}{-5} \\\\\\-12=x

Here the extension on the spring is 12 m

<u>Compare</u>

The extension on spring A is 3 m longer than that in spring B because when you subtract the value of spring B from that in spring A you get 3m

=15m-12m=3m

5 0
3 years ago
What is the metric system
Anettt [7]

Answer:

the decimal measuring system based on the meter, liter, and gram as units of length, capacity, and weight or mass. The system was first proposed by the French astronomer and mathematician Gabriel Mouton (1618–94) in 1670 and was standardized in France under the Republican government in the 1790s.

Step-by-step explanation:

7 0
3 years ago
PLEASEE HELP I'LL GIVE BRAINLIEST.
just olya [345]

Answer:

No, Elias doesn't have enough quantity of each ingredient to make 45 mince pies.

Step-by-step explanation:

For making 18 Mince Pies Elias needs

200g Butter

225g flour

150g sugar

250g Mincemeat

1 egg

Inorder to make 45 mince pie's he's gonna need 45/18=2.5 times the ingredients he needs to make 18 Mince Pies.

As he doesn't have enough Mincemeat (has only 600g but needs 250*2.5=625g of mincemeat)

As he is short of 25g of Mincemeat, he is unable to make 45 Mincepies.

4 0
2 years ago
Solve the simultaneous equations<br>4x+3y=1<br>4x^2+3xy+y^2=2​
Fantom [35]

Notice that the second equation,

4<em>x</em> ² + 3<em>xy</em> + <em>y</em> ² = 2

can be written as

<em>x</em> (4<em>x</em> + 3<em>y</em>) + <em>y</em> ² = 2

and the first equation says 4<em>x</em> + 3<em>y</em> = 1, so this reduces to

<em>x</em> + <em>y</em> ² = 2

Solve the first equation for <em>x</em> :

4<em>x</em> + 3<em>y</em> = 1

4<em>x</em> = 1 - 3<em>y</em>

<em>x</em> = (1 - 3<em>y</em>)/4

Substitute this into the reduced second equation to get a quadratic equation in <em>y</em>, which happens to be easily factorized and solved:

(1 - 3<em>y</em>)/4 + <em>y</em> ² = 2

1 - 3<em>y</em> + 4<em>y</em> ² = 8

4<em>y</em> ² - 3<em>y</em> - 7 = 0

(4<em>y</em> - 7) (<em>y</em> + 1) = 0

4<em>y</em> - 7 = 0   <u>or</u>   <em>y</em> + 1 = 0

<em>y</em> = 7/4   <u>or</u>   <em>y</em> = -1

Solve for <em>x</em> :

<em>x</em> = (1 - 3 (7/4))/4   <u>or</u>   <em>x</em> = (1 - 3 (-1))/4

<em>x</em> = -17/16   <u>or</u>   <em>x</em> = 1

So the two solutions are (<em>x</em>, <em>y</em>) = (-17/16, 7/4) and (<em>x</em>, <em>y</em>) = (1, -1).

8 0
2 years ago
Help !? please!!!!!!
Lynna [10]

Answer:

slope is 1/3

Step-by-step explanation:

In between the points, you go up one, and forward 3. it can't be a negative slope cause it aint going down. And the slope of 3 is steep last time I checked.

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the factor of ()=63−35
    11·1 answer
  • Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2800 grams and a standard deviation of 900
    13·1 answer
  • A diver descends from an elevation of 6 feet below sea level to an elevation of 106 feet below sea level in 2 equal intervals. W
    7·1 answer
  • 3456854467475 x 5853574
    15·2 answers
  • What is the length of RS? no links.
    15·1 answer
  • 22 Solve. Type the correct numeric answer in the space provided. <br> 3 1/2 divided by 4 3/8
    9·1 answer
  • 2. Analyze this inequality.-4x &lt; 12 <br> a) x &gt; -3 b) x &lt; -3 <br> c) x ≤ -3 d) -x &lt; 3
    11·1 answer
  • Are these congruent?
    6·2 answers
  • Ms. Marcus purchased 5 pounds of grapefruit for $4.90. At this price how much will 7 pounds of grapefruit cost?
    5·1 answer
  • PLease help me on this I have ten minutes left
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!