11 The net force on a vehicle that is accelerating at a rate of 1.5 m/s² is 2,800 newtons. What isthe mass of the vehicle to the nearest kilogram?

Answers

Answer 1
Answer:

Answer:

Mass = 1867kg

Step-by-step explanation:

Given

Force = 2800N

Acceleration = 1.5m/s^2

Required

Determine the mass of the vehicle

This question will be answered using Newton's second law

Force = Mass * Acceleration

Substitute values for Force and Acceleration

2800 = Mass * 1.5m/s^2

Make Mass the subject

Mass = (2800N)/(1.5m/s^2)

Mass = 1866.6667kg

Mass = 1867kg ---- approximated

Hence, the mass of the vehicle is 1867kg


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Sam baked 6 cupcakes less than Michelle. Sam baked 18 cupcakes. Which equation will tell you how many cupcakes Michelle baked?
Find the​ range, variance, and standard deviation for the given sample data. Include appropriate units in the results.Listed below are the measured radiation absorption rates​ (in W/kg) corresponding to various cell phone models. If one of each model is measured for radiation and the results are used to find the measures of​ variation, are the results typical of the population of cell phones that are in​ use?0.950.950.730.730.630.630.910.911.321.321.481.480.630.631.231.230.910.911.411.41 0.670.67The range of the sample data isnothing▼​(Round to three decimal places as​ needed.)Sample standarddeviationequals=nothing▼kg.kg.left parenthesis Upper W divided by kg right parenthesis squared .W/kg2.W.W.Upper W divided by kg.W/kg.​(Round to three decimal places as​ needed.)Samplevarianceequals=nothing▼kg.kg.left parenthesis Upper W divided by kg right parenthesis squared .W/kg2.Upper W divided by kg.W/kg.W.W.​(Round to three decimal places as​ needed.)If one of each model is measured for radiation and the results are used to find the measures of​ variation, are the results typical of the population of cell phones that are in​ use?A. ​No, because it is necessary to have at least 5 of each cell phone in order to get a meaningful result. Only including one of each cell phone model is not representative of each cell phone model.B. ​Yes, because the results from any sample of cell phones will be typical of the population.C. ​Yes, because each model is being represented in the sample. Any sample that considers all possible cell phone models will produce results typical of the population of cell phones.D. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.
Which table represents a function?

Choose an integer from 1 to 2400 , what is the probabilty that the integer can not be divided by 6 and 8?

Answers

Answer:

P=633/800

Step-by-step explanation:

The total number of integers from 1 to 2400  is 2400.

As understand we are looking for the numbers which can  be divided at least by one of the numbers 6 or 8. Lets call all integers which can be divided by 6 or by 8 " black" integers and others " white" integers.

For example 6 can be  divided by 6, however can not be divided by 8.  However it is divided by 6 so we have to  6 belongs to " black" untegers.

The number of integers which can be divided by 6 is

2400:6=400 (1st sheet of black integers)

The number of integers which can be divided by 8 is 2400:8=300 (2nd shhet of black numbers).

So total amount of " black" integers= 400+300=700.  However some of these integers can be divided both as by 6 as by 8.

These integers heve been included as to sheet 1 as to sheet 2. ANother words these integers have been included twice.  SO we have to find the

total number of such integers and deduct them from 700.

These are the integers as follows:

3*4*2=24

3*4*3=36

3*4*4=48

3*4*5=60

3*4*6=72 ...

So these is any integer from 1 to 2400 which can be divided by 12 but own 12.

The number of such integers is:

2400:12-1=200-1=199

So the number of black integers is 700-199=501

That means that the number of white integers is 2400-501 = 1899

The required probability is P=1899/2400=633/800

If a shoe company has $1 million in fixed costs, its average shoe sells for $50 a pair, and variable costs are $30 per unit, how many units does the company need to sell to break even? (Show work)

Answers

Answer:

s

Step-by-step explanation:

bdjdiwo9929191isjjz

Write 8×8×8×8×8 as power ​

Answers

Answer:

\boxed{\sf \ \ \ 8^5 \ \ \ }

Step-by-step explanation:

Hello,

8*8*8*8*8 =8^5

because we use five time 8 in the multiplication

hope this helps

Your answer would be 8^5, (8 to the power of 5) the reason behind the five is because we see the 8 being multiplied about 5 times

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?

Answers

Answer:

5

Step-by-step explanation:

If you deposit $5,000 into an account that pays 4% simple interest, what will the balance be in 6 years?

Answers

Answer:

$6,200   i hope this helps!   :)

Step-by-step explanation:

the 4% interest of the $5000   4% of 5000 = 200

multiply by 6 for the 6 years   200 * 6 = 1200

add the 1200 to the 5000   5000 + 1200 = 6,200

Which statement is true regarding the graphed functions?f(0) = 2 and g(–2) = 0
f(0) = 4 and g(–2) = 4
f(2) = 0 and g(–2) = 0
f(–2) = 0 and g(–2) = 0

Answers

let's analyze each case to determine the solution

case 1) f(0) = 2 and g(–2) = 0

For x=0-----> find the value of f(0) in the graph-----> f(0)=4

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 1) is false

case 2) f(0) = 4 and g(–2) = 4

For x=0-----> find the value of f(0) in the graph-----> f(0)=4

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 2) is false

case 3) f(2) = 0 and g(–2) = 0

For x=2-----> find the value of f(2) in the graph-----> f(2)=0

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 3) is true

case 4) f(–2) = 0 and g(–2) = 0

For x=-2-----> find the value of f(-2) in the graph-----> f(-2) is greater than 12

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 4) is false

therefore

the answer is

f(2) = 0 and g(–2) = 0-------> this statement is true





The correct option is \boxed{\left(c\right)f\left(2\right)=0{\text{ and }}g\left({-2}\right)=0}.

Further explanation:

Consider a function f\left(x\right) as y.

\boxed{f\left(x\right)=y}                                                     ...... (1)

Consider the function g\left(x\right) as z.

\boxed{g\left(x\right)=z}                                                   ...... (2)

Substitute 0 for x in equation (1) to obtain the value of f\left(0\right) and also the value of f\left(0\right) can be obtained from the graph by finding the value of y at x=0.

\boxed{f\left(0\right)=4}

Substitute 2 for x in equation (1) to obtain the value of f\left(2\right) and also the value of f(2) can be obtained from the graph by finding the value of y at x=2.

\boxed{f\left(2\right)=0}

Substitute -2 for x in equation (2) to obtain the value of g(-2) and also, the value of g(-2) can be obtained from the graph by finding the value of z at x=-2.

\boxed{g\left({-2}\right)=0}

Now check the option that is satisfied by the obtained value.

In the option (a) the value of f(0) is 2 which is not equal to the obtained value so this option is not correct.

In the option (b) the value of f(0) is 4 which is not equal to the obtained value so this option is not correct.

In the option (c) the value of f(2) is 0 which is equal to the obtained value and the value of g(-2) is 0 which is also equal to the obtained value so this option is correct.

In the option (d), the value of f(-2) is 0 but from the graph it can be observed that the value of f(-2) is greater than 12, so this option is not correct.

Learn more:

1. Problem on Function brainly.com/question/1691598

2. How to solve Function brainly.com/question/1632445

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Function

Keywords:

Graphed function, f(0), f(2),g(0), f(x), g(x), intercept, intersection, axis, vertical, horizontal, lines, parabola function.