Answer:
work= force ×distance
force= mass × acceleration due to gravity
mass= 1kg
acceleration=10
Force=1×10=10N
Work=10×2=20joules
The work done is 20 joule.
What is Work done?
It should be converted to energy in order to move an object. Energy can be transferred by the use of force. Work done refers to the amount of energy used by a force to move an object.
Given:
mass, m= 1 Kg
So, force = mg = 1 x 10 = 10 N
and, displacement = 2m
Now, work done= force x displacement
= 10 x 2
= 20 Joules.
Hence, the work done is 20 joule.
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Steve manages a skate park and he has been analyzing the attendance data. Steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 5x. Steve also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by f(x) = −x + 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.
Answer:Suppose that the equations are:
The number of people increases exponentially as the temperature increases, so we can write this as a simple exponential relation.
N(T) = a0*r^(T)
Also, the number of people that leaves the park as the temperature increases are:
M(T) = a*T + b
So the combination of these equations can say the number of people that are arriving to the park minus the number of people that are leaving, this would be:
N(T) - M(T) = total change in the park population as the temperature changes = C(T)
C(T) = a0*r^(T) - a*T - b
Step-by-step explanation:
How tall is a stack of 10 chairs?
5 chairs are 51 inches
3 chairs are 45 inches
8 chairs are 60 inches
Answer:
10 chairs are 102 inches
Step-by-step explanation:
Beacause 5 chairs are 51 so the double of chairs will be 102 inches
1440 tons of grain where brought to a silo over two days. On the second day 80 percent of the amount of the amount of the grain delivered during the first day where brought in. How many tons where delivered on the first day
Answer:
1152 tons of grains
Step-by-step explanation:
We are told in the above question:
Total number of grains = 1440 tons of grain
On the second day 80 percent of the amount of the amount of the grain delivered during the first day where brought in.
Hence,
The number of grains brought in during the first day = 80% × 1440 tons
= 80/100 × 1440 tons
= 1152 tons of grains
pls help me. Will mark brainliest if right
Answer:
1st one
Step-by-step explanation:
How many solutions does -7+5x=5x+9
Answer:
There are no solutions. This question is impossible.
Step-by-step explanation:
Two siblings' ages have a sum of 64 years. The older sibling was born 6 years before their young sibling.
Write a system of 2 equations. Solve the system using substitution. Report your answer in the form of (older, younger).
Hi!
So we have to make a system of equations here.
Let sibling 1 be O and sibling 2 be Y (for older and younger)
So:
O + Y = 64
O = 64 - Y
(Either one works)
The older sibling is 6 years older.
O = Y + 6
Make everything in terms of Y.
64 - Y = Y + 6
Same to both:
58 = 2y
2y = 58
Divide by 2 on both sides:
y = 29
Since the older sibling is 6 years older:
29 + 6 = 35
Y = 29
O = 35
Let me know if you have any questions.
the sum of three consecutive even numbers is 78,find the number
Answer:
24, 26, 28
Step-by-step explanation:
The final number is 78
first we can divide 78/3= 26
so 26+26+26= 78
we can leave the middle 26 but we can give 2 from the first number to the last number
24+26+28=78
(This might be wrong but i tried my best)
factor 11k^4 − 88k^3 + 77k^2
Answer:
11k^2 (k - 7)(k - 1)
Step-by-step explanation:
The highest common factor is
11k^2
Using the distributive property we get at least 2 factors.
11k^2 ( k^2 - 8k + 7)
The second factor reduces yet again.
11k^2 (k - 7)(k - 1)
Answer:
11k^2(k−7)(k−1)
Step-by-step explanation:
11k^4 − 88k^3 + 77k^2
Factor out 11.
11(k^4-8k^3+7k^2)
Consider k^4-8k^3+7k^2. Factor out k^2.
k^2(k^2−8k+7)
Consider k^2 −8k+7. Factor the expression by grouping. First, the expression needs to be rewritten as k^2+ak+bk+7. To find a and b, set up a system to be solved.
a+b=−8
ab=1×7=7
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. The only such pair is the system solution.
a=−7
b=−1
Rewrite k^2−8k+7 as (k^2−7k)+(−k+7).
(k^2−7k)+(−k+7)
Factor out k in the first and −1 in the second group.
k(k−7)−(k−7)
Factor out common term k−7 by using distributive property.
(k−7)(k−1)
Rewrite the complete factored expression.
11k^2(k−7)(k−1)
help i have this question and i’m not sure what the answer would be
Answer:
2 10 or 100 2
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
(Easy) PLEASE HELP! I REALLY NEED TO GET THESE QUESTIONS RIGHT!
1. For the given equation, find the value of M when x=5. x + 3M = 14
2. What is the standard form for an exponential equation? Explain how you know if an exponential equation show’s growth or decay
11. Justin needs to rent a car to go on vacation. EnvoCar charges $65 and $0.10 per mile. FreedomRide charges $80 and $0.05 per mile.
_________________________
a. How much more does Freedom Ride charge for driving m miles than EnvoCar?
_________________________
b. If Justin’s round-trip distance is 250 miles, which car rental company should he rent from? Explain.
[tex]envo \: car = 65 + 0.10(m)[/tex]
[tex]freedom \: ride = 80 + 0.05(m)[/tex]
//
I honestly don't know how to do a)
//
[tex]envo \: car = 65 + 0.10(250) = 90.00[/tex]
[tex]freedom \: ride = 80 + 0.05(250) = 92.50[/tex]
He should rent from Envo Car because it would be cheaper.
don’t understand........
Answer:
120 cubic inches.
Step-by-step explanation:
The formula for volume is length times width times height. So if you take the length (10), and you take the width (3), and then you multiply them together you get 30. Now all you have to do it multiply that to the height (4) so you get 120. So your answer should be 120 cubic inches.
10 × 3 = 30
30 × 4 = 120
I hope this helps you and you understand now. Have a nice day! :D
Enter a digit in each box to complete the division problem.
Please answer i’ll give brainliest
Step-by-step explanation:
2527 is the first line so 5 in the box
then 47 so a 4 in that box
top answer row
315 E7 so a 5 in that box.
five yellow m&m for every 3 green. How many green m&m if there are 95 yellow ?
PLEASE HELP
Someone please hurry, I have no idea what I am doing
Answer
61.80°
Step-by-step explanation:
use SOHCAHTOA to solve
by using SOH
sin? = 51/55
? = 1÷sin(51/55)
? = 61.80°
Problem 44. The sum of a certain quantity "p" together with two-third of that number, and one-third of that number, becomes 234. What is the quantity "p"? (HINT: Write the equation out and solve)
Answer:
[tex]p=117[/tex]
Step-by-step explanation:
Given number is [tex]p[/tex].
Two-third of the number = [tex]\frac{2}{3}p[/tex]
One-third of the number = [tex]\frac{p}{3}[/tex]
The sum of a certain quantity [tex]p[/tex] together with two-third of that number, and one-third of that number, becomes 234.
[tex]p+\frac{2}{3}p+\frac{p}{3}=234\\\\\frac{3p+2p+p}{3}=234\\\\\frac{6p}{3} =234\\\\2p=234\\p=117[/tex]
April buys a necklace that cost $38.25. There is a 6% sales tax. What is the total cost?
Answer:
$40.55
Step-by-step explanation:
A set of pens sells for $5.25 and costs $1.80 to make. Forty percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to a school. If 1200 sets are sold, what is the amount of money that will go to the school?
The amount of money that will go to the school is $ 3816.00
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The sale price of set of pens = $ 5.25
The cost price of set of pens = $ 1.80
The profit of pens = sale price of set of pens - cost price of set of pens
= $ 5.25 - $ 1.80
= $ 3.45
Now , the equation will be
Forty percentage of profit = ( 40 / 100 ) x $ 3.45
= $ 1.38
The amount that will go to the school =
Forty percentage of profit + cost price of set of pens
The amount that will go to the school for 1 set of pen = $ 1.38 + $ 1.80
= $ 3.18
The equation will be ,
Now , the total number of sets of pens sold = 1200
And , the total cost price of 1200 sets of pens =
cost price of set of pens x 1200
The total cost price of 1200 sets of pens = $ 1.80 x 1200
= $ 2160
The total profit of 1200 sets of pens = Forty percentage of profit x 1200
= $ 1.38 x 1200
= $ 1656
Therefore , the amount that will go to the school for 1200 sets of pens =
total cost price of 1200 sets of pens + total profit of 1200 sets of pens
The amount that will go to the school for 1200 sets of pens
= $ 2160 + $ 1656
The amount that will go to the school for 1200 sets of pens = $ 3816
Therefore ,
The amount that will go to the school = $ 3816.00
Hence , The amount of money that will go to the school is $ 3816.00
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Find the solution set of the inequality
8x - 8 ≤ -72
Answer:
x ≤ -8
Step-by-step explanation:
8x-8 ≤ -72
+8 +8
8x ≤ -64
divide by 8
8x/8 ≤ -64/8
x ≤ -8
geometry multiple choice question HELPPP!!!??
Answer:
24/30
Step-by-step explanation:
What is a equivalent expression to this expression?c(4a+b)
Answer:
The answer is 4ac+bc u have to multiply
HELP PLEASE DUE TODAY: Write the ratio as a fraction in simplest form.
10 feet to 4 yards
Answer:
imma say 10/4
Step-by-step explanation:sorry if wrong
Answer: 5 feet 2 yards
Step-by-step explanation: Just divide both of the numbers by a number that both of them can go through
a bus travels for 24 minutes at 54m/s
Answer:
distance: 77760 meters
Step-by-step explanation:
24 min = 24*60 sec = 1440 sec
54m/s * 1440 s = 77760 m
Answer:
the bus went 77760 m/s in 24 minutes
Step-by-step explanation:
convert 24 minutes to seconds
24 min= 1440 seconds
54x1440= 77760
(i hope this is what you're asking)
Find the volume of a cylinder below . The formula for the volume of a cylinder is . The radius of the circle is represented by r and h stands for the height of the cylinder. use 3.14 for pu and round your answers to the nearest tenth
Answer:
The volume of the cylinder V = 942 cm³
Step-by-step explanation:
Step(i):-
Given that the graph
The height of the cylinder (h) = 12cm
The diameter of the cylinder d = 10cm
The radius of the cylinder
d = 2r
r = [tex]\frac{10}{2}[/tex]
r = 5 cm
Step(ii):-
The Volume of the cylinder
V = π r² h
V = π (5)²(12)
V = 300π cubic centimeter
V = 300 × 3.14
V = 942 cm³
Final answer:-
Volume of the cylinder V = 942 cm³
Gilligan sees a ship coming close to the shore hes standing on.
i think part a is: yes because both triangles are right angles. it would be postulate SAS
not sure for part b
There are a total of 64 students in the anime club and student council. Student council has 10 more students than anime club how many are in each
Answer:
27 in the anime club and 37 in student council
Step-by-step explanation:
there are 64 students
if you divide 64/2 there are 32 in both
32+32=64
then if you give 5 from one to the other
27+37=64
Answer:
student councel has 37 anime club has 27
Step-by-step explanation:
if Ralf can bike in 45 kilometers in 3 hours,what will be his average rate of biking
A.9 kilometers/h
B.12 km/h
C.15 km/h
D.20 km/h
Answer:
C.15 km/h
Step-by-step explanation:
speed= distance/time
Amy buys 8 sandwiches and 12 waters.her total cost is 8s+12 how much did she pay
Uma colônia de bactérias duplica de tamanho a cada dois dias. Começando com apenas um representante, quantos membros terá a colônia depois de um mês?
Answer:
Espero que isto ajude!
Step-by-step explanation:
q duplica logo a razão q =2
1 hora = 60 minutos
4 hs * 60 min = 240 minutos ou 240 : 6 = 40 vezes 6 minutos
Nota > 240 minutos tem 40 * 6 minutos
n = 40
a1 = 6 min = 3
a2 = 12 min = 3 * 2 = 6
q3 = 18 min = 6 *2 =12
an = a1 * q^n-1
a40 = 3 * 2^40-1
a40 = 3 * 2^39
a40 = 3 * 5497559 =16492677 >>>>>
Solve the pair of linear equations....
Please help me by solving this!