A baby carriage that is carrying twins is sitting at the top of a knoll that is 21 m high. The carriage with the babies are 48kg. What is the Potential Energy of the twins and the carriage?
Answer:
The Potential Energy of the twins and the carriage is 9878.4 J.
Step-by-step explanation:
Given;
height of the knoll above the ground level, h = 21 m
mass of the carriage with the babies, m = 48 kg
The potential Energy of the twins and the carriage is given by;
P.E = mgh
where;
g is the acceleration due to gravity = 9.8 m/s²
Substitute the givens;
P.E = (48)(9.8)(21)
P.E = 9878.4 J
Therefore, the Potential Energy of the twins and the carriage is 9878.4 J.
Arthur tells you that he is thinking of an irrational number between 4 and 5, and he wants you to guess what it is. One possibility you could guess is _____.
Answer:
An example of an irrational number between 4 and 5 is √20 which is simply 2√5
Step-by-step explanation:
Here, we want to look for an irrational number between 4 and 5
Mathematically, irrational numbers can be represented as a sure
So in this case , a value of this between 4 and 5 is √20 which can be written as 2√5
Answer: ^(20)
Step-by-step explanation:
The square route of ^(20) is, 4.472135954999579; that is between 4 and 5
To rent a meeting room a college charges a reservation fee of $14 an additional fee of four dollars per hour. The chemistry club wants to spend less than $50 in renting a room. What are the possible numbers of ours a chemistry club could rent the meeting room?
Ashe feels she needs $45,000 per year in retirement. If she receives $2,500 a month from Social Security, at what interest rate must Asha invest her $250,000 of savings for her income to be AT LEAST $45,000 per year? PLEASE HURRYYY
Answer:
15,000 from her savings
Step-by-step explanation:2,500*12=30,000 45000-30,000=15,000
EXPONENTIAL FUNCTION
Evaluate the following:
1.) 2^-3
2.) 5^-3
3.)6^-6
4.) (5/2)^-2
5.) (7/3)^-3
The ratio of boys to girls in a classroom was 9:8. Half of the girls left the classroom, and then there were 15 more boys than girls. Part i.) How many children were in the classroom in the beginning?
Answer:
i pretty sure it's 17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
Someone help me out with this
An elevator is on Level 3, which is 45.25 meters
above the ground. It travels to the basement
level, which is 10.42 meters underground.
What is the total distance, in meters, that the
elevator traveled?
Enter your answer as a decimal in the box.
Answer:
55.67 m
Step-by-step explanation:
You just add the two numbers to get the total distance traveled.
Ima be doing this for the whole form sorry I’m failing math
Answer:
4,0 2,3 ans solutions this may help
sisktzkyzktRkzkKKRpyxdypzoyzitzotkg
how many squares do I have to draw in(10 x 10 grid) for the percentage of 57.74%??
Answer:
There is obviously only 1 10x10 square. If we start with a 9x9 square in the top left corner, we can move it down 1, across 1 and back up 1, so there are 4 possible 9x9 squares.
For 8x8 we can move down 1, then 2 and we can move across 1 or 2 so that's 9 possible 8x8 squares.
For 7x7 we can go down 3 and across 3, so that's 4x4=16 possible squares.
The pattern is now clear the total number if squares is 1+4+9+16+…+100.
There's a formula for this, which I had to look up, but any the sum of the first n squared is 1/6n(n+1)(2n+1)1/6n(n+1)(2n+1), so the total number of squares is 10x11x21/6=5x11x7=385.
Wich expression uses the commutative property to make it easier to evaluate 3/5÷1/4÷25 A 3/5 ÷ 25 ÷1/4 B 25÷4÷3/5 C 5/3 ÷25 ÷1/4 D 3/5 ÷ 1/25 ÷1/4
Answer:
A
Step-by-step explanation:
Which equation has a slope of -2 and passes through the point (1,-6)?
A. y=-2x-4
B. y=-10x+3
C. y=3x-10
D. y=3x+10
Answer:
y=-2x-4
Step-by-step explanation:
Given that,
Slope, m = -2
It passes through the point (1,-6).
We need to find the equation of line that passes throgh the given point. It can be calculated as:
[tex]y-y_1=m(x-x_1)[/tex]
Put y₁ = -6, x₁ = 1 and m = -2
[tex]y-(-6)=(-2)(x-1)\\\\y+6=-2x+2\\\\y+2x+6-2=0\\\\y=-2x-4[/tex]
Hence, the equation of line is y=-2x-4.
This question concerns bit strings of length six. These bit strings can be divided up into four types depending on their initial and terminal bit. Thus the types are: 0XXXX0, 0XXXX1, 1XXXX0, 1XXXX1. How many bit strings of length six must you select before you are sure to have at least 6 that are of the same type?
Answer:
We have to choose 21 strings to be sure we have chosen at least 6 strings of the same type.
Step-by-step explanation:
Since the string type is determined by the initial and terminal bits as understood from the question, then the value of the bits between the initial and terminal bits is of no concern to us.
Now, to be sure you have atleast 6 of the same type, we select each string five times. By doing this, we have already selected 20 strings because we have 4 strings there. Now if you choose any of the string one more time, we are certain that we must have chosen atleast 6 strings that are the same. This means we have to choose 21 strings to be sure we have chosen at least 6 strings of the same type.
Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?
Answer:
n = 1, this means the interest compounds ANNUALLY.
Step-by-step explanation:
Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?
Compound Interest Formula
: A = P(1 + r/n)^nt
A = Amount after time t
P = Principal (Initial Amount Invested)
r = Interest rate
n = Number of times the interest is compounded
t = time in years
A = $30,541.83
r = 4.6% = 0.046
t = 30
P = $7,924
Hence,
$30,541.83 = $7924(1 + 0.046/n)^30n
Divide both sides by 7924
$30,541.93/$7924 = (1 + 0.046/n)^30n
$30,541.93/$7924 = (n + 0.046/n)^30n
3.8543576477 = (n + 0.046/n)^30n
We take the logarithm of both sides
log 3.8543576477 = log (n + 0.046/n)^30n
Solving for n,
n = 1
Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.
The length of a bridge is 1.5 cm.Whet is the actual length of the bridge in meters if the map is drawn at a scale of 1:40000
Answer:
800
Step-by-step explanation:
1:5 and 1:40000
40000/5 is 800
Actual length is 800.
Hope this helps :D
Find the missing side lengths leave your answers as radicals
Answer:
Step-by-step explanation:
n = 20 (because it’s a 45° triangle so two angles are 45° which means two legs are equal)
to find m:
20^2 + 20^2 = m^2
400 + 400 = m^2
800 = m^2
m = square root(800)
m = square root(400)xsquare root(2)
m = 20square root(2)
The equation of the line that passes through points (0, negative 7) and (2, negative 1) is shown below. What value is missing from the equation?
y = _______x – 7
Answer:
1/3
Step-by-step explanation:
2-0=2
-1 - -7 = 6
2/6. = 1/3
You have won the state lottery. There are two ways in which you can receive your prize. You can either have $1 million in cash now, or you can have $1.2 million that is paid out as follows: $300,000 now, $300,000 in one year’s time, $300,000 in two years’ time, and $300,000 in three years’ time. The interest rate is 20%. The present value of the payments over three years is:
Answer:
pv=z/(1+R)^N
Step-by-step explanation:
I hope this helps!!!
The present value of the payments over three years is $1600000.
Given that, the prize of lottery money is $1 million.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.
Now, P=$1,000,000, R=20% and T=3 years
So, S.I. = (1,000,000 × 20 × 3)/100
= 600000
Amount = 1,000,000+600000
= $1600000
Therefore, the present value of the payments over three years is $1600000.
To learn more about the simple interest visit:
https://brainly.com/question/25845758.
#SPJ6
Please answer this simple math question(CLICK TO SEE PICTURE) ITS MULTIPLE CHOICE. Answers are not exact! (it's not the one I chose) TY!
Austin made 5 quarts of his special from-scratch cupcake mix. He was able to make 32 identical cupcakes using 3.5 quarts of his special mix. Austin would like to bake 20 more identical cupcakes to ice each cupcake in the likeness of a playing-card. Does he have enough left to create 20 additional cupcakes? Explain.
9514 1404 393
Answer:
no
Step-by-step explanation:
We can write a proportion to find how much mix is required to make 52 cupcakes.
quarts/cupcakes = 3.5/32 = x/52
Multiplying by 52, we find ...
x = 52(3.5/32) = 5.6875 . . . quarts needed for 52 cupcakes
This is more mix than Austin made. He does not have enough left for 20 more cupcakes.
pls pls help it closes in 40 minutes pls tell me how you got your answers ty
picture included
Step-by-step explanation:
u just have to draw a graph nd start at -2 which goes down -2 twice then go up 4 over 1 nd u just connect the lines nd find the slope of the lines that's how I learned it
Answer:
Hi, I'm not sure how to answer number 1 or 2 but here are my answers for 3-6
Step-by-step explanation:
3) 2
My work: y+3=2(x-2)
y+3=2x-4
y=2x-7
4) (2,25)
My work:
y-1=3(x+6)y-1=3x+18y=3x+19y=3(2)+19y=6+19y=25(2,25)5) 1/8
6) -7
There are 3 cats in a room and no other creatures.each cat has 2 ears, 4 paws, and 1 tail
Answer: theres really no question here
Step-by-step explanation:
Help urgently for brainliest
Answer: X= 10 buddy, tilt the triangle and it obvious.
Don't know wut dey meen by simplify but its 10.
Can someone please help me and tell me if this is correct or no I’ll give brainliest
Please be honest
Answer: B
Step-by-step explanation: i googled it
The table shows the highest and lowest golf scores for your cousin and your friend over the summer. Find the ranges of golf scores for your cousin and your friend. Who has the greater range of scores?
highest +6, +3
lowest -2, -3
Answer:
Cousin has a greater range of score.
Step-by-step explanation:
Range = Highest No. - Lowest No.
Range of cousin's score = +6 - (-2)
= +6+2 = 8
Range of friend's score = -2 - (-3)
= -2 + 3 = 1
Cousin has a greater range of score.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807What is the remainder after you divide 7*7*7... 124 times by 4
Answer:
1
Step-by-step explanation:
Remainder if 7*7*7... 124 times is divided by 4
The remainder when (7^124) / 4
Using python console:
a = 7**124
b = 4
c = a%b
print(c)
Output = 1
Hence, the remainder when 7^124 is divided by 4 is 1
(02.02)
A rotation is shown in the drawing
Figure
Figure K
Which statement best describes the rotation? (4 points)
Clockwise 90-degree rotation
Clockwise 180-degree rotation
Counterclockwise 90-degree rotation
Counterclockwise 180-degree rotation
clockwise 180 degree rotation
The following table shows the distance from school as a function of time:
Time (in minutes)
x Distance (in meters)
f(x)
0 36
3 32
6 28
9 24
12 20
Find and interpret the meaning of the x‐intercept in this scenario.
(36, 0); the distance away from the school
(27, 0); the time it takes to reach the school
(36, 0); the time it takes to reach the school
(27, 0); the distance away from the school
Answer:
c
Step-by-step explanation:
It shows that The x intercept values are under the time label
Answer:
C
Step-by-step explanation:
A carnival charges $5 to get in, plus $2 per ride. Which equation represents the relationship between the number of carnival rides a person rides x and the cost of attending the carnival y.
x= 2x+5
y= 2x-5
y= 2x+5
y= 5-2x
Answer: y= 2x+5
Step-by-step explanation: