Answer:
P = 40013.792 J
Step-by-step explanation:
Given that,
Mass of a person, m = 52 kg
The height of the building, h = 78.52 m
We need to find the gravitational potential energy at this point. It is given by the formula as follows :
P = mgh
Where g is acceleration due to gravity
P = 52 kg × 9.8 m/s² × 78.52 m
P = 40013.792 J
So, the gravitational potential energy is 40013.792 J.
This month the Middle School Media newspaper has 25 pages. Twenty-five schools order the paper for each of their students. Each of the schools has 25 classrooms with 25 students in each classroom. What expression with an exponent shows the total number of pages in all of the newspapers?
Answer:
25^4
Step-by-step explanation:
Here, we want to find the expression that shows the total number of pages in all of the news papers
Number of pages per book = 25
Number of schools is 25
Number of classrooms is 25
Number of students per classroom is 25
Now; the number of students in each school
is 25 * 25
Number of students in all of the school will be;
25 * 25 * 25
So the number of pages in all of the schools will be;
25 * 25 * 25 * 25 = 25^4
If a 4 ft. pole casts a 5 ft shadow, how high is a pole that casts a 15 ft shadow? 1
Answer:
12 ft!!
Step-by-step explanation:
can u pls mark me brainliest?
Answer:
x=12 ft
Step-by-step explanation:
4/5=x/15
Multiply 5 and x to get 5x, then multiply 4 and 15 to get 60, then you're left with the equation 5x=60. Divide both sides of the equation by five to get 12 :D.
Allison decided to start by saving $10 the first week of the year in her bank. Then, the next week she would save $2 more dollars than the previous week and put that in the bank (e.g. on week 2 she saved $12). If she kept increasing the amount in this way how much will she have saved in total by the end of the year? Question 4 options: $112 $114 $3172 $3340
enjoy ;) *debby smirk*
The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 55 records of automobile driver fatalities in a certain county showed that 34 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use α = 0.01. Solve the problem using both the critical region method and the P-value method. Since the sampling distribution of is the normal distribution, you can use critical values from the standard normal distribution (Round any intermediate calculations to at least four decimal places. Round the test statistic and critical value to two decimal places. Round the P-value to four decimal places.)
Solution :
Population proportion, P = 77%
Sample size is given by n = 55
Sample proportion = [tex]$\frac{x}{n} = \frac{34}{55}= 0.61$[/tex]
Null hypothesis
The population proportion of the fatalities of the drivers that are related to alcohol = 77%
[tex]$H_0 : P = 77$[/tex] %
[tex]$H_0 : P = 0.77$[/tex]
Alternate hypothesis, [tex]$H_a : P < 0.77$[/tex]
Therefore, the test statistics = [tex]$\frac{0.61 - 0.77}{\sqrt{\frac{0.7 \times 0.23}{55}}}$[/tex]
= -3.2
Critical value = -1.64
and the rejection zone : test zone, -1.645
Therefore, we fail rejecting [tex]$H_0$[/tex]
p value 0.0582
rejection zone :: p value , 0.01
So we fail to reject [tex]$H_0$[/tex]
Thus the data does not indicate the population proportion of the drivers fatalities which are related to the alcohols which is less than 77% in the county of Kit Carson.
Need help with this, please.
Answer:
Step-by-step explanation:
1. The line passes through (-7,5) and (-8,13)
answer must be written in slope imtercept form.
2. the line passes through (15,1) and (0,-4)
what number decreased by 3.5 equals 12.7 i have to write an equation then solve the problem
Answer:
n - 3.5 = 12.7
n=16.2
Step-by-step explanation:
n - 3.5 = 12.7, to solve add 3.5 to both sides
n = 12.7 + 3.5
n=16.2
5 divided by 7/10 = ?
Answer:
♡ madeline here ♡
it's 7 1/7. have a great day, luv!
- madeline/madi
✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ
Step-by-step explanation:
Answer:
50/7
Step-by-step explanation:
7/10=0.7
5/0.7=7.142857143 etc. etc.
7.14
5 divided by 7
1 10
"flip the guy and multiply"
5 times 10
1 7
50
7
=50/7 or 7 1/7 (because 7 goes into 50, 7 times)
Can someone help me answer this question plz and thank you
I think it's a or d. Forgive me if I am wrong :(
Answer:
The equation has a greater slope.
Step-by-step explanation:
The slope of the equation is 4 while the slope of the table is 3 because y increases 3 every time x increases 1.
can someone please help?
Answer:
x=86
Step-by-step explanation:
we know that all the angles in a triangle add up to 180 degrees.
if you add 74+20, you get 94. then, subtract 94 from 180 to get 86! sorry if this is wrong i tried my best T^T
bob buys a t-shirt for $7.45 he pays with a 20 bill. how much change will he get?
im in 5 grade im 10 years old can you solve this for me please
Answer:
$12.55
Step-by-step explanation:
Subtract! 20 - 7.45
1 + 1 I dont know how to solve this problem please help me...
Answer:
1+1= 2
Step-by-step explanation:
or sometimes people say 11, but irl its 2
1) (5x - 4)(x - 5) = 0
Answer: The answer is 1.5
Step-by-step explanation: First you want to add 5x + x which equals 6x. Then you want to add -5+-4 which = -9. Then you add 9 to the -9 to get rid of it. But you have to do it on both sides so you add 9+0 which =9. Finally you divide 9 by 6 which equals 1.5
Mr.Davis treated his team to a pizza party after their last baseball game. He bought 7 cheese pizzas and spent less than $70.00. Write and solve an inequality to find the cost of each pizza.
Answer:
About $10 for each Pizza.
Step-by-Step:
We can use the equation 7a=70 to solve the problem. a= Amount. We divide 7 on both side which is 10. So a=10.
RP.1.3 At Bright Futures Middle School, 576 students ride their bike
to school. If this number is 75% of the school enrollment,
then how many students are enrolled?
Answer:
768
Step-by-step explanation:
multiply both sides of the equation by 100/75 100/75 will cancel out 75/100It costs $4 to sign up for a music download service and $0.50 to download each song. Jada signs up for the service
and begins downloading music.
1. Complete the table showing how Jada can spend money downloading songs.
Step-by-step explanation:
Note: I could not find any attached table of values, however, we can make do with the information given
step one:
the cost of sign up = $4
the cost of download for each song= $0.5
Step two:
Required
we want to find the cost of downloading any number of songs.
let the number of songs be x
and let the total cost be y
Hence the cost function is
y=0.5x+4
now supposing the value of x which is the number of downloads from the table is 10, then the total cost for 10 downloads will be
y=0.5(10)+4
y=5+4
y=9
Hence it will cost $9 to download 10 songs, just plug in the value of x into the cost function
On a map, there are 3 centimeters between two cities. The actual distance between the cities is 45 kilometers.
What was the scale used for the map?
please help
Answer:
15km/cm
Step-by-step explanation:
All you do is divide 45 by three to determine your scale
Answer:
3cm on map = 45 km
1 cm on map = Xkm
Xkm = 45 / 3
Xkm = 15km
Therefore scale = 1:15000
Step-by-step explanation:
X > -9 written in words
Answer:
X is greater than negative-nine (-9).
ILL GIVE BRAINLIST IF YOU ARE RIGHT 1. (05.01 LC)
The graph shows the distance, y, that a car traveled in x hours:
What is the rate of change for the relationship represented in the graph? (1 point
55
54
1/54
1/55
Answer:
55 (A) (I understand you bro)
because here, 1 (x) is = to 55 (y), the rate is 1:55 (x:y). This is a ratio, it's gonna bother you later
please help, todays the last day
Answer:
b
Step-by-step explanation:
fiber hard to digest i love you
Plzzzz help!!!! I don't understand
Answer:
x = 1
Step-by-step explanation:
Answer:
x=1
Step-by-step explanation:
Which ordered pair is a solution of the equation −1/4x + 6 = y?
A. (4, 7)
B. (2, 5)
C. (6, 0)
D. (12,3)
Answer:
C
Step-by-step explanation:
What is the answer to this question.
On Sunday 440 people visited a museum that charges $9 for each child and $12.50 for each adult. If the museum earned $5,220 on that day, how many adults visited the museum on Sunday?
Solve the following:
4x-3=2x+7
Answer:
= 5
Step-by-step explanation:
Add 3 to both sides of the equation 4 − 3 = 2 + 7 4x-3=2x+7 4x−3=2x+7 4 − 3 + 3 = 2 + 7 + 3
Simplify Add the numbers Add the numbers 4 = 2 + 1 0
Subtract 2 2x 2x from both sides of the equation 4 = 2 + 1 0 4x=2x+10 4x=2x+10 4 − 2 = 2 + 1 0 − 2
Simplify Combine like terms Combine like terms 2 = 1 0
Divide both sides of the equation by the same term 2 = 1 0 2x=10 2x=10 2 2 = 1 0
Simplify Cancel terms that are in both the numerator and denominator Divide the numbers = 5
Solution x=5
#6. Please I really need help
Answer:
B. $18.00
Step-by-step explanation:
3 books the same cost.
$18.00*3= $54
$ 54+$1.99= 55.99
Hope this helps
Approximate the solution of x^3=85
Answer:
the answer would be 3sqrt85
Step-by-step explanation:
Answer:85
Step-by-step explanation:
x^3 will =to85
find the ratio if it is given that,
a+3b/5= a-2b/[tex]a+3b/5= a-2b/2[/tex]2
Answer:
dbhjnhygtfvbhnj
Step-by-step explanation:
-6x + 8y = 24
What is the answer?
Answer:
x=-4 y=3
Step-by-step explanation:
this is what the girl said in the comment section :) so i plugged them into the equation and she was right
what is the volum of a cylinder with a radius of 9 inches and a heigh of 2 inches? use 3.14 for pi
Answer:
508.93
Step-by-step explanation:
Have a nice day! :)