Find the amount of work W done by a force F = 115i +350j
in moving an object in a straight line given by the displacement vector D = -13i+15j.

Answers

Answer 1

The work is equal to the dot product of the force and displacement vectors:
W = (115 i + 350 j) • (-13 i + 15 j)

W = 115 × (-13) + 350 × 15

W = 3755


Related Questions


Find the product of the sum of 76 and 13 and the difference of 92 and 49.

Answers

3827

hope it helps...!!!

If a giraffe eats 75 pounds of acacia leaves a day, how many grams would that be?​

Answers

Answer:

34,050 grams

Step-by-step explanation:

To convert pounds to grams, you must multiply the mass (75) by 454.

454 * 75 = 34,050

34,050 grams is equal to 75 pounds.

Hope this helps:)

4. Convert: 32 cups = gallons 10 gallons 3 gallons 2 gallons 1 gallon​

Answers

Answer:

2 gallons

Step-by-step explanation:

:/

Help me for 10 help me please

Answers

what do you need help with

Answer:

Answer:

what do u need help in?

Five friends share 4 bags of trail mix equally.
What fraction of a bag of trail mix does each friend get?

Answers

each friend gets 4/5 of a bag of trail mix

Can someone help me I need this done ASAP like TODAY… I know D. I just dont know A, B, C. Please helppppppppp meeeeeeeeee

Answers

Answer:

Please see explanation

Step-by-step explanation:

base= -3

the exponent is 5

in expanded form -3×-3×-3×-3×-3

evaluation = -3×-3×-3×-3×-3= -243

Carlos ran 3 1/2 miles on Saturday and
2 1/2 miles on Sunday. How many yards
did Carlos run in all? Show your work.

Answers

Answer:

6 yard

Step-by-step explanation:

Since, it given that:

Carlos ran 3 1/2 miles on Saturday and 2 1/2 miles on Sunday.

And asking for how many yards carlos run in all

in all = add

3 1/2 + 2 1/2

Add the whole number

3 + 2 = 5

Since they have the same denominator we can just add them

1/2 + 1/2 = 1 whole

Since it a whole we can add to the whole number

5 + 1 = 6

Thus, Carlos run  6 yards.

Lenvy

Answer:

6 yards

Step-by-step explanation:

To Find:

How many yards did Carlos run in all?

Solution:

In all means addition in this question

Thus,

3 1/2 and 2 1/2

3 1/2 + 2 1/2

we can turn them into improper fraction and then find the answer
3 1/2 = 7/2 and 2 1/2 = 5/2

7/2 + 5/2 = 12/2

12/2 = 6

Hence, Carlos run 6 yards in all

[RevyBreeze]

A photograph has a length that is 6 inches longer than its width,x. So it's area is given by the expression x(x+6) square inches.

Answers

Answer:

The width of the photograph is 8 inches

Step-by-step explanation:

hopefully im right

4 to the 5th power times 4 to the -7th power divided by 4 to the -2nd power

Answers

Answer:

1

Step-by-step explanation:

4^(5)×4^(−7)÷4^(−2)

=4^(5+(-7)-(-2))

=4^(5-7+2)

=4^(0)

=1

Hey!

Your answer is 1.

Heres how i got the answer

4^(5)×4^(−7)÷4^(−2)

=4^(5+(-7)-(-2))

=4^(5-7+2)

=4^(0)

Hope this helps!

please help me with this question

Answers

Ok I’m here what did you need help on

Graphing a linear equation of the form y=mx how do I plot y=-2x

Answers

a line through the origin with a slope of -2 (for every 1 unit to the right, move 2 units down)

when plotting, plug in values for x, i would recommend starting with 0, 1, and -1, then find y for each of these x values, then connect the points

can someone help mepleace

Answers

Answer:Click on the file below

Step-by-step explanation:

A shape is made of 12 right triangles of equal size. Each right triangle has a base of 4cm and a height of 5cm. What is the total area, is square centimeters, of the shape?

Answers

Answer: 120 cm²

Step-by-step explanation:

Let's start by finding the area of one triangle

The formula for finding the area of a triangle is [tex]A=\frac{hb}{2}[/tex]

Where

A is the area

h is the height (5 for this)

and b is the base (4 for this)

Let's sub in our values and solve.

[tex]A=\frac{(5)(4)}{2}\\A=\frac{20}{2}\\A=10[/tex]

Since there are 12 triangles in the shape we must multiply our area for one triangle by 12 to find the total area of the shape

12×10=120

A water balloon is launched in the air from a height of 12 feet and reaches a maximum height of 37 feet after 1.25 seconds. Write an equation to represent the height h of the water balloon at time t seconds. Then, find the height of the balloon at 2 seconds.

Answers

The height of the balloon is given as h(t) = -16t² + 40t + 12 at 2 seconds, the height is 28 feet

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the water balloon after t minutes, hence:

h(t) = -16t² + vt + h₀

Where h₀ is the initial height = 12 feet and v is the initial velocity, hence:

h(t) = -16t² + vt + 12

The height of 37 feet after 1.25 seconds, hence:

37 = -16(1.25)² + v(1.25) + 12

v = 40 m/s

h(t) = -16t² + 40t + 12

After 2 seconds:

h(t) = -16(2)² + 40(2) + 12

h(2) = 28 feet

The height of the balloon at 2 seconds is 28 feet

Find out more on equation at: https://brainly.com/question/1214333

What is the distance between the points(-4,-1) and (-6,8) in simplest radical form.

Answers

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-6 - (-4)]^2 + [8 - (-1)]^2}\implies d=\sqrt{(-6+4)^2+(8+1)^2} \\\\\\ d=\sqrt{(-2)^2 + 9^2}\implies d=\sqrt{85}[/tex]


If you draw out a red marble, keep it, then draw out a
blue marble, is it independent or dependent probability?
Independent

Answers

Answer:

dependent

Step-by-step explanation:

the probability of drawing the blue marble was changed when you drew the red marble and did not put it back

Divide $3600 among Nancy Beverly and Todd in the ratio 2:3:4?

Answers

Answer:

nancy: $800, beverly: $1200, todd: $1600

Step-by-step explanation:

finding the portion of one part of the ratio:


3600 ÷ 9 = 400 (9 came from 2 + 3 + 4 in the ratio)

Nancy: 2 x 400 = $800

Beverly: 3 x 400 = $1200

Todd: 4 x 400 = $1600

checking the answer:

1600 + 1200 + 800 = 3600

*URGENT* PLEASE HELP

Answers

[tex] \frac{3z}{2} - 5 = 28 \\ [/tex]

[tex] \frac{2}{3} . \frac{3z}{2} = 33. \frac{2}{3} \\ [/tex]

[tex]z = 22[/tex]


It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I
maintain the same speed, estimate how much longer I will be driving for.

Answers

Answer: 1h and 25min

To find how long you can drive in a minute we do 48 divided by 32 = 1.5. So it takes 1 min to drive 1.5km

Then we 146 divided by 1.5 = 97 and a third to find out how long it takes to drive 146km.

Then we convert it to hours to get 1h and 57min.

Then we - 32 because we already drove 32min. 1h and 57min - 32 = 1h and 25min

∠2 and ∠4 are "blank" angles.

Answers

Answer:

angles 4 and 2 are congruent

Step-by-step explanation:

the same

Jack went to baseball practice at 5:45 p.m. He returned home at 8:22 p.m. How long was he gone for? SHOW YOUR WORK PLEASE

Answers

Answer:

2 hours and 37 mins

Step-by-step explanation:

you want to get to a full hour so 5:45 closes hour would be 15 minutes later which would be 6:00 and then you add 2 hours which would be 8:00 and you have 22 minutes to get 822 p.m. so you add the minutes together 15 + 22 which you'll get 37 and you'll have the 2 hours on the side so it would be 2 hours and 37 minutes

last number of 1²+2²+...+2007²

Answers

Answer:

4028054 is the last number when we operate it....

Triangle ABC is a right triangle, and mC is 78°.


What is mA?
A. 2°
B. 12°
C. 22°
D. 32°

Answers

Answer:

[B] 12°

Step-by-step explanation:

Given:

Triangle ABC is a right triangle, and m∠ C is 78°.

Solution:

Knowing that Triangle = 180 degree

Square in a right angle = 90° angle.

Thus,

78+90 =168

180-168 is 12

Hence, the answer is [B] 12 degree

Kavinsky

Answer:

the answer is

Step-by-step explanation:

B

Complete the two-way frequency table below, which shows the
distribution of blood types for students in their first year at a local
college.
O AB AB Total
Male (M) 210 17474 42
Female (F)|31526111163
Total
What is P(ABM), and are the events "the student is male" and "the
student has blood type AB" independent events? (7 points)
а
21
; they are independent because P(M N AB) = P(M)
250
· P(AB)
Ob
T!
; they are dependent because P(M NAB) P(M) · P(AB)
5
Ос
21
; they are independent because P(M N AB) = P(M)
625
P(AB)
Od
1
--; they are dependent because P(M N AB) = P(M) · P(AB)
4

Answers

Answer:

a.

Step-by-step explanation:

Probability that is a AB type blood given is a Male

P(AB/M)  = 42/500 = 21/250

Probability that they are Male with an AB type blood out of all AB type blood people = Probability that is a Male out of all students

P(M∩AB) = P(M)  

 (42/105) = (500/1,250)

            .4 = .4 ✅

The events "the student is male" and "the student has blood type AB" are independent events.

HELP MEEEEE THIS IS DUE IN 2 HOURSSS

Answers

It should and probally is B

Simplify: ^6 square root x times ^4 square root y^3

Answers

The expression [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is an illustration of an algebraic expression

The simplified expression of [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is x^1/6y^3/4

How to simplify the expression?

The expression is given as:

[tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex]

Rewrite the expressions as exponents

x^1/6 * y^3/4

Multiply the expresions

x^1/6y^3/4

Hence, the simplified expression of [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is x^1/6y^3/4

Read more about expressions at:

https://brainly.com/question/723406

Answer:

Step-by-step explanation:

edge

8th Grade Math!!

find the area of the rectangle.

the area of the rectangle is __ square feet. (simplify your answer)

Answers

Answer:

[tex]48x^{13}\ ft^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the rectangle

To find the area of the rectangle we just need to do Length * Width which will give us the area in square feet (it really depends on the units that they are giving the L and W in).

[tex](8x^6) * (6x^7)[/tex]

[tex]((8*6)(x^6*x^7))[/tex]

[tex](48*x^{6+7})[/tex]

[tex]48x^{13}[/tex]

Answer:  [tex]48x^{13}\ ft^2[/tex]

Helppppppppppppppppl

Answers

Answer: A

Step-by-step explanation: You're Welcome

what can you add to get negative 8 and multiple to get positive 7

Answers

Step-by-step explanation:

-1 and 8 Below we prove the -1 and 8 multiple to -8 and add up to this -1 × 8= -8


2. Brian thinks that 1.75 x 10-3 is less than 1.25 10-2. Is he correct? Justify your answer.

Answers

Answer:

Yes

Step-by-step explanation:

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