An auto weighing 2,500 pounds is on a street inclined at 10 with the horizontal. Find the force necessary to prevent the car from rolling down the hill.

Answers

Answer 1

Answer:

1931.7N

Step-by-step explanation:

We are told in the question that :

An auto ( a car) weighs = 2500 pounds

It s inclined at n horizontal Ange of 10°

We are asked to find the force that would prevents it from rolling down the street.

Since the unit for Force = Newton or kgm/s²

Step 1

Convert Weight in pounds to kg

1 pound = 0.453592kg

2500 pounds =

2500 pounds × 0.453592kg

= 1133.981kg

Step 2

Find the force that would prevents it from rolling down the street.

Force = Mass × Acceleration due to gravity × sin θ

Acceleration due to gravity = 9.81m/s

Force = 1133.981kg × 9.81 × sin 10°

Force = 1931.7237321 N

Approximately = 1931.7N


Related Questions

Which of the figures shown on the circle is a chord? answers: 1) ef 2) cd 3) fc 4) ac

Answers

Answer:

EF

Step-by-step explanation:

A chord is a line segment whose endpoints both lie on the circle.

EF is the chord.

AC is the radius.

DC is a tangent.

FC is a secant.

The correct answer is the first choice.

Answer:

Hi !

Which of the figures shown on the circle is a chord? = 1) EF

==> A chord of a circle = straight line segment whose endpoints both lie on the circle.

Step-by-step explanation:

AC = Radius

FC = Secant

CD = Tangent

An experiment is to be conducted using environmentally safe peppermint oil to study the effectiveness of deterring mice from infesting dwellings. In one
dwelling, the peppermint oil will be dispersed via essential oil diffuser; in the other dwelling it will be placed on areas where mice could enter the dwelling. The
researchers will determine the adverse reactions of the mice to the peppermint oil by counting the number of mice in each dwelling after one week. There are
20 mice available for the experiment, and the researchers will use 10 mice for each dwelling. For this experiment, identify the treatments, experimental unit, and response variable.

Treatments: how the peppermint oil is dispersed
Experimental unit: number of mice in the dwellings
Response variable: mice

Treatments: number of mice in the dwellings
Experimental unit: mice
Response variable: how the peppermint oil is dispersed

Treatments: mice
Experimental unit: how the peppermint oil is dispersed
Response variable: number of mice in the dwellings

Treatments: mice
Experimental unit: number of mice in the dwellings
Response variable: how the peppermint oil is dispersed

Treatments: how the peppermint oil is dispersed
Experimental unit: mice
Response variable: number of mice in the dwellings

Answers

Answer:

Option E is correct.

- Treatments: how the peppermint oil is dispersed

- Experimental unit: mice

- Response variable: number of mice in the dwellings

Step-by-step explanation:

The treatments in this type of statistical experiment refers to the part of the experiment that is tweaked, controlled or varied in the cases being studied. In this experiment, the method of essential oil dispersal is what is varied in the two experimental cases of this study.

Experimental Unit refers to the subject matters, who are participants in the experiment. They are the ones that the effect of the treatments is tested upon.

For this study, the experimental units are the mice subjected to either of the two methods of peppermint oil dispersal.

The response variable is how the experimental units (participants) respond to the treatments (experimental tweaks). Or how the tweaks manifest observable results in the participants of the study. For this study, the effect of the tweaks in the mice is shown in the number of mice that remain in each dwelling (where the two methods of peppermint oil dispersal have been implemented). Hence, the response variable is the number of mice in each dwelling.

Hope this Helps!!!

The product of two consecutive integers is 420 which quadratic equation can be used to find x the lesser number

Answers

Answer:

Step-by-step explanation:

If the smallest number is 'x', then the other number = x +1

x*(x+1)= 420

Use distributive property

x*x + x*1 = 420

x² + x - 420 =0   ------> this is the required quadratic equation.

PLEASE HELP!! Question with picture is below

Answers

Answer:

It honestly does not matter, but I'd choose the ring because I feel like it is more pleasant to look at.  

Step-by-step explanation:

We need to find the area of both shapes to compare:

3/4 of a circle:

A = 6^2pi

= 36pi

36pi(0.75) = 27pi

Ring:

A = 36pi

A2 = 3^2pi = 9pi

36pi-9pi = 27pi

As you can see, the two areas are the same.

Hope this helped! :)

Answer:

27

Step-by-step explanation:

In the sequence 2001, 2002, 2003, ... , each term after the third is found by subtracting the previous term from the sum of the two terms that precede that term. For example, the fourth term is 2001+2002−2003=2000. What is the 2004th term in this sequence?

Answers

Answer:

The answer is 0.

Step-by-step explanation:

Let's call the answer a.

We want to find a(2004)

That's an even term. We look at the even terms:

2   2002

 4   2000

6   1998

8   1996

10   1994

12   1992

 

We see that the pattern for the even terms is  

"if you add n and a(n), the sum is always 2004."

That is n + a(n) = 2004, or,

           a(n) = 2004-n when n is even

So when n = 2004, a(2004) = 2004-2004 = 0

Answer: 0

Please help me find volume of prism

Answers

Answer:

216 yds

Step-by-step explanation:

Each are multiplied together by length, width, and height. 6 x 6 x 6 equals 216. So your answer is 216 yards.

Answer:

216 [tex]yd^3[/tex]

Step-by-step explanation:

Recall the formula for the volume of a prism:

[tex]Vol=W\,*\,D\,*\,H[/tex]

where W represents the prism's width, D its depth, and H its height.

In your case the prim is in fact a cube because the three dimensions above are equal (all of them are 6 yards)

Then the volume of this prism is:

[tex]Vol=W\,*\,D\,*\,H\\Vol= 6\,yd\,*\,6\,yd\,\,*\,6\,yd\,\\Vol= 216\,\,yd^3[/tex]

Which degrees is the answer

Answers

Answer:

75°

Step-by-step explanation:

Since the 2 angles are supplementary and TC is a perpendicular bisector, we know that m∠ATC is 90°

All we need to do is simply subtract 15° from 90° to find m∠ATB:

90 - 15 = 75°

Answer:

75°

Solution,

Let m<ATB be X

[tex]x + 15 + 90 = 180[/tex]

(sum of angle in straight line)

[tex]x + 105 = 180[/tex]

subtract 105 on both sides

[tex]x + 105 - 105 = 180 - 105 \\ x = 180 - 105 \\ x = 75[/tex]

Hope this helps ...

Good luck on your assignment..

a simple closed figure formed by three or more segement is called a

Answers

Answer:

Step-by-A simple, closed plane figure formed by three or more line segments meeting only at their endpoints is called a polygon. step explanation:

Search Results

Featured snippet from the web

A simple, closed plane figure formed by three or more line segments meeting only at their endpoints is called a polygon. Polygons are named according to the number of sides. A regular polygon has all sides congruent and all angles congruent

Answer:

Polygon

Step-by-step explanation:

a simple closed figure formed by three or more segement is called a Polygon. Polygons are named according to the number of sides. A regular polygon has all sides congruent and all angles congruent.

Hope this helps!

Express the radical using the imaginary unit, i
Express your answer in simplified form.
tv-49 =

Answers

Answer:

7i.

Step-by-step explanation:

Note : The given expression must be [tex]\sqrt{-49}[/tex].

We have to write this radical value in the imaginary value.

The given value can be rewritten as

[tex]\sqrt{-49}=\sqrt{49\times (-1)}[/tex]

[tex]\sqrt{-49}=\sqrt{49}\times \sqrt{-1}[/tex]    [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]

[tex]\sqrt{-49}=7\times i[/tex]    [tex][\because \sqrt{-1}=i][/tex]

[tex]\sqrt{-49}=7i[/tex]

Therefore, the required expression is 7i.

Help with this question(will give thanks and brainlist)

Answers

Answer:

Step-by-step explanation:

base = 2x - 4 = 2*x -2*2 = 2( x - 2) in

Height = 3 in

[tex]Area=\frac{1}{2}base *height\\\\=\frac{1}{2}*2(x-2) * 3\\\\=(x - 2)*3[/tex]

= (3x - 6) square inches

Answer:

The area of the triangle is (3x-6) in² .

Step-by-step explanation:

You have to apply area of triangle formula :

[tex]area = \frac{1}{2} \times base \times height[/tex]

Then, you have to substitute the following expressions into the formula :

[tex]let \: base = 2x - 4 \\ let \: height = 3[/tex]

[tex]area = \frac{1}{2} \times (2x - 4) \times 3[/tex]

[tex]area = \frac{3}{2} \times (2x - 4)[/tex]

[tex]area = \frac{6}{2} x - \frac{12}{2} [/tex]

[tex]area = (3x - 6) \: {in}^{2} [/tex]

Identify the range of the function shown in the graph.

Answers

Answer:

C.

Step-by-step explanation:

Range is the y-values. Since our max and min for y-values is 5 and -5, respectively, our answer is C.

Plsss help i will mark h as brainliest !!! :)

Answers

Start with the given:

Circle -3, square -6, and square 12.

Start with solving the circle that connects square -6 and square -12.

Since the two circles the surround the square are to be multiplied, divide the square value by one of the circle value.

In this case,

-6 ÷ -3 = 2

So now you have circle 2 and square 12. To solve the other square on the right, do the same technique done in the first part.

12 ÷ 2 = 6

Now multiply 6 and -3 to make the product in the square position.

6 × -3 = -18

So the answers:

Left Circle = 2

Right Circle = 6

Right Square = -18

Answer:

See below

Step-by-step explanation:

It would be like:

=> -3 * 2 = -6

=> 2 * 6 = 12

=> -3 * 6 = 18

I need help with 7 and 8 pls

Answers

Answer:

7) H

8) C

Step-by-step explanation:

7)

Dilation is a transformation we apply that increases the dimensions of something proportionally, that is, each dimension is multiplied by the same constant value.

Therefore, the correct option is H, where the x and y coordinates are multiplied by the same value (3).

8)

We can see in steps 1 and 2 that he draws the heights relatives to the sides AB and BC. The crossing point of heights in a triangle is known as the orthocenter (point D). the third figure shows that the triangle is inscribed in a circumference (all the vertex of the triangle are on the circumference). If the triangle is inscribed within the circumference, the circumference is circumscribed about the triangle.

So the correct option is C.

DeShawn and Pranav each improved their yards by planting daylilies and shrubs. They bough
their supplies from the same store. DeShawn spent $143 on 9 daylilies and 4 shrubs. Pranav
spent $198 on 14 daylilies and 4 shrubs. Find the cost of one daylily and the cost of one shrub

Answers

Answer:

Daylilies cost $11 and shrubs cost $11

Step-by-step explanation:

Let's call the cost of daylilies as x and the cost of shrubs as y. We can write:

9x + 4y = 143 -- Equation 1

14x + 4y = 198 -- Equation 2

5x = 55 -- Subtract Equation 1 from Equation 2

x = 11 -- Divide by 5

9 * 11 + 4y = 143 -- Substitute x = 11 into Equation 1

4y = 44 -- Subtract 99

y = 11 -- Divide by 4

How should you solve the equation x divided by 15 equals 60​? What is the resulting equivalent​ equation? Choose the correct answer below. A. Divide each side by 15. Then simplify. B. Divide each side by 60. Then simplify. C. Multiply each side by 15. Then simplify. D. Multiply each side by x. Then simplify. E. Divide each side by x. Then simplify. F. Multiply each side by 60. Then simplify. The resulting equivalent equation is x=

Answers

Answer:

C; x = 900

Step-by-step explanation:

1. Write out the problem: x/15 = 60

2. Multiply each side by 15 to solve for x. This is because of inverse operations, so if you divide x by 15 you have to multiply 15 to both sides. THis way the 15 cancels out in 15(x/15).

3. Equation then becomes this: x = 15*60

4. Answer: 900

5. Substitute to see if you were right. Ask yourself: Does 900 divided by 15 equal 60. If it does, then you are correct.

On February 2nd, Jordan is going on a class trip to Washington D.C. He is saving his weekly allowance to use as
spending money while on the trip. Each week, Jordan's parents give him the $8 he earned for the week, and he records
the total amount of money he has saved in the table below.
Week
January 4 January 11 January 18 January 25 February 1
Total $ Saved
$86
$94
$102
With only two weeks left before the trip, Jordan wants to predict how much money he will have to bring on the trip. What
is the total amount of money that Jordan will have saved on February 1st?
$106
$110
$116
$118

Answers

Answer:

$118

Step-by-step explanation:

The amount Jordan will have on 1st of the February is $118

What is slope?

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Given that, On February 2nd, Jordan is going on a class trip to Washington, D.C. He is saving his weekly allowance to use as spending money while on the trip. Each week, Jordan's parents give him the $8 he earned for the week,

The saving are

In 1st week = $86

In 2nd week = $94

Therefore, we can consider the coordinates as (1, 86) or (2, 94)

We know that, standard equation of a line = y = mx+c

Where, m is the slope,

We have here slope = 8

Finding for c, put x = 1 and y = 86

c = 78

Now finding the amount for 5 weeks, that means x = 5

y = 5x8+78

y = 118

Hence, The amount Jordan will have on 1st of the February is $118

For more references on slope, click;

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Which theorem can you use to prove that AEB is congruent to CED?

A. SSS
B. ASA
C. AAS
D. SAS​

Answers

Answer:

C. AAS

Step-by-step explanation:

Since we are given two angles and one side, that limits our options to B or C. It can't be B, because ASA is only when the side given is in between the two angles, so it must be C.

Answer:

C

Step-by-step explanation:

How many molecules are in4 moles of HCl?

Answers

Answer:

8

Step-by-step explanation:

4(HCL)

H=1 mol,CL=1 mol

4(1+1)

4(2)

4x2=8molecules

Definition: A set of points that form a line are called a ___ pattern.

Answers

Answer:

linear

Step-by-step explanation:

linear pattern

Answer:

a linear pattern

Step-by-step explanation:

Three consecutive odd integers have a sum of 45. Find the integers.

Answers

Answer:

13, 15, 17

Step-by-step explanation:

Each digit must be odd, and to get consecutive odd integers, you must add using the multiple of 2:

Let the least number be "x". Set the equation:

(x) + (x + 2) + (x + 4) = 45

Isolate the variable, x. First, combine like terms:

(x + x + x) + (2 + 4) = 45

(3x) + 6 = 45

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 6 from both sides:

3x + 6 (-6) = 45 (-6)

3x = 45 - 6

3x = 39

Divide 3 from both sides:

(3x)/3 = (39)/3

x = 39/3

x = 13

Your first number (x) is 13. Solve for the other 2 numbers:

(x) = 13

(x + 2) = 13 + 2 = 15

(x + 4) = 13 + 4 = 17

13, 15, 17 are your numbers:

Check:

13 + 15 + 17 = (13 + 15) + 17 = 28 + 17 = 45

~

The endpoints of CD¯¯¯¯¯¯¯¯ are C(−8,−6) and D(−4, 10). The coordinates of the midpoint M of CD¯¯¯¯¯¯¯¯ are ( , ).

Answers

Answer:

m(-6,2)

Step-by-step explanation:

m=(-8+-4/2,-6+10/2)

=(-12/2,4/2)

=(-6,2)

The coordinates of the midpoint M of CD of the line segment CD with endpoints, C(−8,−6) and D(−4, 10), are (-6,2).

What is midpoint?

For a line segment, mid-point is the middle point of it which divides the line segment into the two equal parts.

The formula to find the midpoint using the coordinates of the line is,

[tex]m=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Here, (x1,y1) and (x2,y2) are the coordinates of the endpoints of the line.

The endpoints of CD are C(−8,−6) and D(−4, 10). To find the coordinates of the midpoint M, put the values in the above formula as,

[tex]m=\left(\dfrac{-8+(-4)}{2},\dfrac{-6+10}{2}\right)\\m=\left(\dfrac{-12}{2},\dfrac{4}{2}\right)\\m=\left(-6,2)[/tex]

Thus, the coordinates of the midpoint M of CD of the line segment CD with endpoints, C(−8,−6) and D(−4, 10), are (-6,2).

Learn more about midpoint here:

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Select the correct answer. Which two points have an undefined slope? A. (-1,1) and (1,-1) B. (-2,2) and (2,2) C. (-3,-3) and (-3,3) D. (-4,-4) and (4,4)

Answers

Answer:

C

Step-by-step explanation:

An undefined slope means that the line is vertical and parallel to the y- axis.

A vertical line has equal x- coordinates of the points it passes through.

The only pair where the x- coordinates are equal are

(- 3, - 3) and (- 3, 3) ← undefined slope → C

Step-by-step explanation:

Answer: C. (-3,3) (-3,3)

Step-by-step explanation:

Sam, John, Matt, and Bob are going to drive to Florida. It is a 8 1/4 hour drive. Sam drove 1 1/3 hours. John drove 1 5/6 hours. Matt drove twice as long as John. How many hours did Bob drive if he drove the remaining time?

Answers

Answer:

Step-by-step explanation:?

Step-by-step explanation:

total hours = 8 1/4= 33/4

Sam = 1 1/3 = 4/3

john=1 5/6 =11/6

matt= twice as long as john= 2(1 5/6)= 11/3

Bob= x

4/3+11/6+11/3 + x =33/4

11+22+8/6 + x =33/4

41/6 + x =33/4

x = 33/4 - 41/6

x= 99-82/12

x=17/12

x =1 5/12

therefore Bob drove 1 5/12.

HELP ASAPPPPP!
What is the value of Fraction 1 over 2x3 + 3.4y when x = 2 and y = 5?

18
20
21
37

(p.s if its easy im in 5th grade dont judge)

Answers

Answer:

can you please make the question more clear!

Step-by-step explanation:

i am guessing you are asking if 1/ (2·2) (3+(3.4·5))=

1/ 4+17+3

1/24?

PLaseeee heeeeelpoppppppppppppppppppppppppppppppp

Answers

Answer:

2) b-1

3) 2c

4) d+1

5) e-3

6) f/2

7) 4×g

8) 3×h

9) 3÷i

10) j+4

11) 2k+1

12) 2l-2

13) m/2+3

What is true about the given function?

Answers

Answer:

C

f(x) < 0 over the interval - infinity to + 3

Step-by-step explanation

My last answer was wrong

Do hamsters preferred treats or blue treats? Two different supplements, which have no effect on taste, are used on identical treats to produce a red treat or a
blue treat. Volunteer hamsters are randomly assigned to either a red treat or a blue treat, and the researchers rate the treats based on how quickly the hamsters
eat them. Is blinding demonstrated in the experiment?

No, because the hamsters do not know the color treat they are getting

Yes, by having the experimenter in a separate room pick one of the two containers at random and having a treat pulled from that container remotely

No, because the hamsters know whether they are eating a red treat or a blue treat

Yes, by having the statistician analyzing the results not know which hamster sampled which treat

Yes, by having the hamsters eat the treats out of the container, so they don't know the color of the treat they are eating

Answers

Answer:

The answer is C.

Step-by-step explanation:

I took the test and got it right! Besides that, here's an explanation:

Blinding is when either the subjects (single-blind) or the subjects and researchers (double-blind) do not know what treatment they are recieving. In this case, the birds know what color treat they are getting, and the researchers do as well. Therefore, there is no blinding being done in this experiment.

If there was, the researchers and the birds wouldn't know the color of the treat, or ONLY the birds wouldn't know the color of the treat. Because this experiment is dependent on the color that the birds see, blinding would kind of contradict the whole point of the experiment.

As by, the blinding demonstrated in the experiment is not there, because the hamsters know whether they are eating a red treat or a blue treat.

What is research?

As the research is defined as, in accordance with suitable epistemologies set by specific occupational group fields and academic discipline. As documentation of critical collection; and analysis and interpretation of that data/aggregation.

The birds know what color happening they are getting on, and the research worker do as well. Therefore, there is no blinding being done in this experiment. As binding is considered as, the subjects (single-blind) or the subjects and researchers (double-blind)

Therefore, The right option (C) is correct.

Learn more about the research here:

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Evaluate x^1-x^-1+ x^º for x= 2.

Answers

Answer:

5/2

Step-by-step explanation:

Step 1: Plug in x

2¹ - 2^-1 + 2⁰

Step 2: Evaluate

2 - 1/2 + 1

3/2 + 1

5/2

Answer:

[tex]\boxed{\frac{5}{2} }[/tex]

Step-by-step explanation:

=> [tex]x - x^{-1} + x^0[/tex]

Rule of exponents [tex]x^0 = 1[/tex]

For x = 2

=> 2 - [tex](2)^{-1}[/tex] + 1

=> 5 / 2

=> [tex]\frac{5}{2}[/tex]

given f(x) = 3/2x - 5 and g(x) = x^2 + 2x solve for g(-2)

Answers

When x=-2, g=0

Step-by-step explanation:

(-2)^2=4, then add 2(-2)=-4 to this, getting 0

5x-8y+9 what are the terms of the expression? what are the coefficients of the expression

Answers

Answer:

The coefficients are 5,8. The terms of expression are 5x, 8y and 9

Step-by-step explanation:

The coefficient for the equation is 5 and 8 as both of the numbers have a variable by its side (the letter x & y). Meanwhile the terms for the equation are 5x, -8y, and 9. This is because all those numbers have an operation symbol. Keep in mind that 5x, has a positive operation at the front of the number but it is not written to the equation to make it simpler. Hope this helps ease up your understanding.

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