1. [4 marks] Every morning, a boy scout raises a flag with a mass of 1.5 kg to the top of a 15.0 m
flagpole. How much work is done by the scout?​

Answers

Answer 1

Answer:

work = force * distance

soo...

Step-by-step explanation:

force = mass * gravity

(1.5 kg )*(9.8 m/[tex]s^{2}[/tex]) = 14.7 kgm/[tex]s^{2}[/tex]  or Newtons  

W = 14.7 N * 15 m = 220.5 Nm  and since 1  N = 1 Joule

we say  220.5 Joule  

220.5 J   :)


Related Questions

what is the total surface area?

Answers

Answer:

136

Step-by-step explanation:

9*4=36+100=136

1,000,000,000,000,000,000,000+1,111,111,111

Answers

Answer:

1,000,000,000,000,001,111,111

Find the slope of the line.
-1
3
-10
-11
12
4
3
2 0 1
9 10
The slope is
Turn

Answers

-1

Step-by-step explanation:

because looking at the graph it is negative, and it goes down one over one

The total number of students in the seventh grade is 9 more than 4 times as many students as are in the art class. There are 101 students in the seventh grade. Write and solve an equation to find the number of students in the art class. Let x represent the number of students in the art class.

Answers

Answer:

9 + 4x = 101

Step-by-step explanation:

9 + 4x = 101        Equation

( +9 - 9 ) + 4x = ( 101 - 9 )          Subract 9 on both sides

4x = 92                     Simplify

x = 23                       Divide 4 on both sides

23 people in art class

On average, at least 25,000
pieces of luggage are lost or misdirected
each day by United States airlines. Of
these, 98% are located by the airlines
within 5 days. From a given day’s lost
luggage, at least how many pieces of
luggage are still lost after 5 days?
WRITE AND SOLVE AN INEQUALITY!!!!!! (people just solve without an inequality!)

Answers

98% of 25,000 is 24,500.

So from this, we can make the inequality:

25,000 - 500x

x = 5 days.

May I have brainliest please? :)

Answer:

500

Step-by-step explanation:

At least means 25000 and bigger. But 25000 is included in the inequality.

You should write an inequality to to represent the number of pieces of luggage

x ≥ 25000

100% - 98% = 2%

2% of all luggage lost is never found. Multiply both sides of x ≥ 25000 by 2%

2 percent x ≥ 25000 * 2%

2 percent x ≥ 500

Note that 2 percent is not an algebraic variable. 2% is. 2% = 2/100, but that is not what you want on the left.

(5c^2 - 3c +9) - (2c^2 + 8c - 3)

Answers

So you would distribute the negative and you would end up with
5c^2 -3c+9-2c^2+8c-3
And then you combine like terms and you should end up with
3c^2-11c+12

Hope it helps!

What is the rule used to reflect the triangle ABC to its image?
A. Reflect over y = -x
B. Reflect over y = x
C. Reflect over the x axis
D. Reflect over the y-axis

Answers

Answer:

The rule used to reflect Δ ABC to its image is Reflect over y = x B

Step-by-step explanation:

If the point (x, y) reflected across the x-axis , then its image is (x, -y) If the point (x, y) reflected across the y-axis , then its image is (-x, y) If the point (x, y) reflected across the line y = x , then its image is (y, x) If the point (x, y) reflected across the line y = -x , then its image is (-y, -x)

From the given figure

∵ The coordinates of point A are (-4.5, 6)

∵ The coordinates of point A' are (6, -4.5)

→ The coordinates are switched ⇒ 3rd rule

∴ Point A is reflected over the line y = x

∴ Δ ABC is reflected over the line y = x

The rule used to reflect Δ ABC to its image is Reflect over y = x

Note: Point B' on the graph should be C' and point C' should be B' (correct it)

WHICH OF THE FOLLOWING IS THE SLOPE AND Y INTERCEPT?

Answers

Answer:

the correct answer is Slope = 45 and y intercept = 175

Step-by-step explanation:

Acar is traveling at 65 miles per hour. What happens to the number of miles when the number of hours changes?
When the number of hours increases the number of miles decreases
When the number of hours increases the number of miles increases.
When the number of hours decreases the number of miles increases.
When the number of hours decreases the number of miles stays the same.

Answers

when the number of hours increases, the number of miles increases

Edgar argues that reflecting the following image over the x -axis and
then over the line y = x is the same as reflecting the same image over the
line y = -x. Prove whether Edgar is correct or not.
у
10
7
6
5
4
3
2
1
0
-6-5-4-3-2-1 0
-1
1
9
7
2
3
8
-10-9-8
10
-2
-3
-4
-5
-7
-8
-9
-10

Answers

Answer:  He is not correct. The resulting will be in a different quadrant.

Step-by-step explanation:  This would be much easier to answer with a screen shot of the image.

For example, if the original image is in quadrant 1, the first reflection over the x-axis places the new image in quadrant 4, "upside-down" and the second reflection over the y=x line places the new image in quadrant 2 and "oblique" to the original.

Reflecting the original over the y=-x line places the new image in quadrant 3.

2/3 is what % of 1/4

Answers

Answer: 266.66%

Step-by-step explanation:

(2/3)/(1/4) = (2/3)(4/1) = 8/3 = 2 2/3 = 2.6666 = 266.66%

What is the decimal equivalent of 1/9?

Answers

Answer:

0.111111...….

Step-by-step explanation:

Answer:

0.1111111111111(repeating)

Step-by-step explanation:

Please help me ASAP! I’m giving Brainliest to the first correct answer! Please also show working out if possible - Thanks :))

There are oranges that are ¥90 and apples that are ¥150.
When you buy a total of 15 of them, your total cost is ¥1890.
How many oranges and apples did you buy?

Answers

Step-by-step explanation:

If 15 oranges were bought,

the total cost would be 15 * ¥90 = ¥1350.

¥1890 - ¥1350 = ¥540.

For every orange that switches to an apple,

the cost increases by ¥150 - ¥90 = ¥60.

Number of apples = ¥540 / ¥60 = 9.

Therefore there are 6 oranges and 9 apples.

Answer:

6 oranges and 9 apples.

Step-by-step explanation:

Let the number of oranges be x then the number of apples = 15 - x.

So  90x +  150(15 - x) = 1890

90x - 150x + 2250 = 1890

-60x = -360

x = 6

and number of apples = 15 - 6

So it's 6 oranges and 9 apples.

Daryl biked for 12 minutes and traveled 1.6 miles. If He kept the same pace, how far would he travel in 3.5 hours? please show work if possible!!!!

Answers

Answer:

27.999999993 or 27.9 or 28 (rounded) miles.

Step-by-step explanation:

Find out how many miles he goes every minute.

(1.6 ÷ 12 = 0.13 recurring (0.1333333333)

3.5 hours = (60 × 3) + 30 = 210 minutes

Multiply 0.13 recurring (0.1333333333) by 210 mins.

210 × 0.13 recurring (above number) = 27.999999993 (You can round this up to the nearest whole number), which is 28 if the question asks you to but as it uses 1.6 miles, you can leave it as 27.9 or even leave the long decimal if you're not entirely sure.

Hope this helps. :)

One die is tossed and then another die is tossed. How many outcomes are possible for the two dice?

Answers

Answer:

i think its 36!

Step-by-step explanation:

6 x 6+36

50 points for detailed answer and explanation.​

Answers

Answer:

∛x² + ∛xy + ∛y²

Step-by-step explanation:

Use of formula:

a³ - b³ = (a - b)(a² + ab + b²)

Simplify as follows:

(x - y) / (∛x - ∛y) = (∛x³ - ∛y³) / (∛x - ∛y) =(∛x - ∛y)(∛x² + ∛xy + ∛y²) / (∛x - ∛y)  =∛x² + ∛xy + ∛y²

. Alex bought a new bike last weekend. It was $185 and he had to pay tax at a rate of 8%. How
much tax did he pay?

Answers

Answer:

$14.80

Step-by-step explanation:

Original bike price: $185

Tax: 8% OR 0.08 as a DECIMAL

To find your answer, multiply the bike price by the DECIMAL (number) tax amount:

185 x 0.08

= 14.8

Therefore, Alex paid $14.80 in tax.

Answer: $14.80

Step-by-step explanation:

We know: The bike is $185, and the tax is 8% of the product.

So we multiply them together.

185 * 8 / 100 = 14.8

or

185 * 0.08 = 14.8

The tax will be $14.80.

The other way to solve this question is by cross multiply.

[tex]\ \frac{x}{185} = \frac{8}{100}\[/tex]

But what you get would still be the same as just multiply it directly.

185*5/100 = 14.8

Not an efficient way of doing things :(

In a class of 40 children there are 12 who have a dog, 15 who have a pet cat, and 13 children who have no pet. What percentage of this class have a dog as a pet?

Answers

Answer:

The percent of children that have a dog is 30%

Step-by-step explanation:

Help please!!!!!!!!!!!!!

Answers

Answer:

position         1             5             8                12               19             25

term              -8            8             20             36               64            88

Step-by-step explanation:

(n - 1) is position ( n ∈ N)

d is the distance between the numbers in the sequence

a1 is the first number in the sequence

we have the fuction: a(n) = a1 + (n - 1)d

see in the table, with position = 1, term = -8 => a1 + d = -8

                                    position = 25, term = 88 => a1 + 25d = 88

=> we have: a1 + d = -8

                     a1 + 25d = 88

=> a1 = -12

    d = 4

=> a(n) = -12 + 4(n - 1)

=> term = 8, position = (8 + 12)/4 = 5

    position = 8, term = -12 + 4.8 = 20

    term = 36, position = (36 + 12)/4 = 12

    position = 19, term = -12 + 4.19 = 64

Answer:

The required table is:

Position   1     5       8      12      19      25

Term      -8     8      20     36     64     88  

Step-by-step explanation:

The general formula for arithmetic sequence is:

[tex]a_n=a_1+(n-1)d[/tex]

where n is the nth term, a₁ is the first term and d is the difference.

Looking at the table, we know that

a₁ = -8 and

a₂₅ = 88

We can find the common difference d:

[tex]a_n=a_1+(n-1)d\\n=25, a_1=-8, a_{25}=88\\a_{25}=a_1+(25-1)d\\88=-8+24(d)\\88+8=24\:d\\96=24\:d\\d=\frac{96}{24}\\d=4[/tex]

So, we have d = 4

Now we can fill the remaining table.

We have to find position n, when term (a_n) is 8

[tex]a_n=a_1+(n-1)d\\8=-8+(n-1)4\\8=-8+4n-4\\8=-12+4n\\8+12=4n\\20=4n\\n=\frac{20}{4}\\n=5[/tex]

So, when term is 8, position is 5

We have to find term a_n when position n is 8

[tex]a_n=a_1+(n-1)d\\a_8=-8+(8-1)4\\a_8=-8+7(4)\\a_8=-8+28\\a_8=20[/tex]

So, when position is 8 term is 20

We have to find position n, when term (a_n) is 36

[tex]a_n=a_1+(n-1)d\\36=-8+(n-1)4\\8=-8+4n-4\\8=-12+4n\\36+12=4n\\48=4n\\n=\frac{48}{4}\\n=12[/tex]

So, when term is 36, position is 12

We have to find term a_n when position n is 19

[tex]a_n=a_1+(n-1)d\\a_{19}=-8+(19-1)4\\a_{19}=-8+18(4)\\a_{19}=-8+72\\a_{19}=64[/tex]

when position is 19 term is 64

So, the required table is:

Position   1     5       8      12      19      25

Term      -8     8      20     36     64     88  

Find the measure of angle x. _

Answers

[tex]x + 120 = 180[/tex]

(linear pair of angles)

[tex]x = 180 - 120[/tex]

[tex]x = 60[/tex]

A client pays for a moving company to move 25 boxes. If the moving
company charges $12.50 per box and a base fee of $199.95 to each
client, what is the total amount the client pays?

Answers

Answer:

$512.45

Step-by-step explanation:

total amount = base fee + per box charge

total amount = $199.95 + $12.50 * 25

total amount = $199.95 + $312.50

total amount = $512.45

The function y=3.75x+2.5 represents the cost y(in dollars) of a taxi ride of x miles.
A) Identify the independent and dependent variables.
B) Find the maximum number of miles you could travel if you only had 20 dollars. ​

Answers

Answer:

happy new year

Step-by-step explanation:

i am your biggest fan I am your teacher you fill

Describe the graph of heating curve and water. In terms of time heat is added vs temperature !!!!!!!!!! PLEASE HELP !!!!!!!! EXPLANATION NEEDED CORRECTLY !!!!!!!!

Answers

As time in minutes is increased, temperature in degree Celsius is increased.

I need help pls help me answer this ASAP!!!

Answers

I believe it is 2/3
Not very sure tbh I’d say it’s b or c but mostly b

Which equation can be used to determine the percent of the diagram that one section represents?
1/10=1/100=1%
1/10=10/100=10%
1/100=1/10=1%
1/100=10/10=10#

Answers

Answer:

First one

Step-by-step explanation:

PLEASE HELP!!1
Four intersecting lines, t, v, u, and w, are shown in the diagram.

Answers

Answer:  x = 12

===============================================

Explanation:

Line w and line t are parallel if and only if the corresponding angles (4x+60) and (9x) are congruent.

9x = 4x+60

9x-4x = 60

5x = 60

x = 60/5

x = 12

If x = 12, then

9x = 9*12 = 108

4x+60 = 4*12+60 = 48+60 = 108

Both corresponding angles would be 108 degrees if x = 12. So this confirms we have the right x value.

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 4.5, 6.75, 10.125, 15.1875.
What is the multiplicative rate of change of the exponential function represented in the table?

1.5
2.25
3.0
4.5

Answers

Answer:

its 3.0

Step-by-step explanation:

ik bc i took the test

The rate of change for the given function is 2.25. Therefore, option B is the correct answer.

What is rate of change of a function?

The rate of change, or the slope, is calculated as Δy/Δx , or (y2−y1)/(x2−x1). The slope-intercept equation of a line is y=mx+b , where m is the slope and b is the initial value.

From the given table, we have (1, 4.5), (2, 6.75), (3, 10.125) and (4, 15.1875).

Using coordinate points (1, 4.5) and (2, 6.75), we get

Rate of change = (6.75-4.5)/(2-1)

= 2.25

Therefore, option B is the correct answer.

Learn more about the rate of change here:

https://brainly.com/question/8223651.

#SPJ6

PLZ HELP this is the question

Answers

Answer:

I think is D

I'm not that sure but hope it helps

The cost price of a car is $60 000. If the marked price is set so as to make a profit of 15%, find the
marked price.

Answers

Answer:

marked price = $69,000

Step-by-step explanation:

cost price = $60,000

profit

= 15%

= 15% × cost price

= 15/100 × $60,000

= $9000

marked price

= cost price + profit

= $60,000 + $9000

= $69,000


5. A tree is broken at a height of 5 m from the ground
and its top touches the ground at a distance of
12 m from the base of the tree. Find the original
height of the tree.

Answers

The original height of the tree is 60 m

Answer:

Step-by-step explanation:

the base of the triangle that the fallen tree makes up is 12 and the up right is 5 the tree top is the hypotenuse of this triangle  :)

treeTop= [tex]\sqrt{12^2+5^{2} } }[/tex]

treeTop = [tex]\sqrt{169}[/tex]

treeTop = 13

13+5 = treeHeight

18 = treeHeight

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