Solution :
Given :
Height of the tower , h = 45 m
Weight of the weather vane, mg = 190 N
So the potential energy possessed by the weather vane is given by
E = m x g x h
where, E is potential energy
m is mass
g is acceleration due to gravity (taken as 10 m/s2)
h is height
Therefore,
E = m x g x h
E = (mg) x h
E = 190 x 45
E = 8550 J
Help me Please
The boy scouts are selling popcorn for $25 a bag. They have already sold $525 worth and want to make at least $5750. Write an inequality to find the least number of bags of popcorn they need to sell to reach their goal. How many bags is that?
Answer:
B ≥ 209
Step-by-step explanation:
This is the equation - 25b + 525 ≥ 5750 .
Comment if I solved it incorrectly ;-;
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x – 4
h(x) = three-quartersx
h(x) = one-quarterx
By definition, the correct answer is the last option: the inverse of the function f(x) = 4x is h(x)= [tex]\frac{1}{4}[/tex]x.
Definition of inverse functionThe inverse or reciprocal function of f(x) is called another function f⁻¹(x) that satisfies: If f(x)=y , then f⁻¹(y)=x.
To build or calculate the inverse function of any function, one of the ways to do it is to interchange the variables x and y, and use a combination of algebraic methods in order to isolate the variable "y".
Inverse of f(x)=4xBeing f(x)=y=4x, to calculate the inverse, in first place you interchange the variables x and y:
f(y)=x=4y
Isolating the variable y, you get:
h(x)=x÷4= [tex]\frac{1}{4}[/tex]x
Finally, the correct answer is the last option: the inverse of the function f(x) = 4x is h(x)= [tex]\frac{1}{4}[/tex]x.
Learn more about the inverse of a function:
https://brainly.com/question/13799722
Find the mean absolute deviation of the set: 10,5,7,14,19,32,25
Answer: I believe it would be 8.
Step-by-step explanation:
HELP ASAP DUE IN 5!!!!
Determine whether the relationship between the two quantities described in each table is linear.
If so, find the constant rate of change. If not, explain your reasoning.
O Yes; 4 apples/tree
O Yes; 20 apples/tree
O No; No constant rate of change
O None of the above
Answer:
No; No constant rate of change
Step-by-step explanation:
5 trees > 100 apples --> 20 apples/tree
10 trees > 120 apples --> 12 apples/tree
15 trees > 150 apples --> 10 apples/tree
20 trees > 180 apples --> 6 apples/tree
I need help On This !!!!!!!!
Answer:
Step-by-step explanation:
L'= 3, -3 M'= -3, -6 N'= -3, 3
PLEASE HELP!! REALLY URGENT!!
Answer:
it's the first option
Step-by-step explanation:
Which function represents the area with respect to time?
A pebble is dropped into a deep well and 3s later the sound of a splash is heard as the pebble reaches the bottom of the well. The speed of sound in air is about 340 m/s. How long will it take fir the pebble to hit the water? How long does is take for the sound to reach the observer? What is the depth of the well? (I need the equation)
Answer:
[tex]2.89\ \text{s}[/tex]
0.11 seconds
[tex]37.4\ \text{m}[/tex]
Step-by-step explanation:
[tex]t_1[/tex] = Time taken by the pebble to hit the water
[tex]t_2[/tex] = Time taken by the sound to travel to the observer
[tex]t_1+t_2[/tex] = Time taken by the observer to listen to the splash after stone is thrown = 3 s
[tex]t_1=3-t_2[/tex]
a = g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]
[tex]u_s[/tex] = Speed of sound = 340 m/s
The distance traveled by the pebble
[tex]s=ut+\dfrac{1}{2}at_1^2\\\Rightarrow s=0+\dfrac{1}{2}\times9.81(3-t_2)^2\\\Rightarrow s=4.905(9+t_2^2-6t_2^2)[/tex]
Distance traveled by the sound
[tex]s=u_st\\\Rightarrow s=340\times t_2[/tex]
The distance traveled by the sound and the pebble is equal
[tex]4.905(9+t_2^2-6t_2)=340\times t_2\\\Rightarrow 9+t_2^2-6t_2=\dfrac{340}{4.905}t_2\\\Rightarrow 9+t_2^2-6t_2=69.32t_2\\\Rightarrow t_2^2-75.32t_2+9=0\\\Rightarrow t_2=\frac{-\left(-75.32\right)\pm \sqrt{\left(-75.32\right)^2-4\times \:1\times \:9}}{2\times \:1}\\\Rightarrow t_2=75.2,0.11[/tex]
Since [tex]t_1+t_2=3[/tex] the value of [tex]t_2[/tex] cannot be greater than 3.
So, time taken by the sound to reach the observer is 0.11 seconds.
Time taken by the pebble to hit the water is [tex]t_1=3-t_2=3-0.11=2.89\ \text{s}[/tex]
Depth of the well is [tex]s=340t_2=340\times 0.11=37.4\ \text{m}[/tex]
3. Multiply and simplify: (4x + 3)(x - 1)
Answer =
Answer: = 4x² - x - 3
(4x+3)(x -1 ) = 4x² + 3x - 4x - 3 = 4x² - x - 3
Step-by-step explanation:
Find the slope of the line containing the pair of points.
(-8,-2) and (6,3)
Answer:
5/14
Step-by-step explanation:
3--2=5
6--8=14
HELP ME FAST PLZ HELP ME!!!
Answer:
267000 is the answer
Step-by-step explanation:
Dan made $5.38 for a half hour of work. At Dan's current rate of pay, how much would Dan make for 8 hours of work?
Answer:
The answer is 86.08, hope this helps.
Step-by-step explanation:
Answer:
$86.08
Step-by-step explanation:
If Dan makes $5.38 for HALF an hour how much does he make for a full hour? He makes $10.76 for an entire hour.
$10.76 x 8= $86.08
The following graph represents the cost and revenue functions for custom-made computers. How many computers
have been sold at the break-even point?
a 12
b 9
C 5
d. 0
Answer:
A. 12
Step-by-step explanation:
A speed skater completers a 500-meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds. How do their speeds compair? Find the number of meters a speed skater and a cheetah travel in one second.
A speed skater travels ___ meters per second.
A cheetah travels ___ meters per second.
Answer:
A speed skater travels 12.5 meters per second
A cheetah travels 26 meters per second
Step-by-step explanation:
To find their speeds, divide the number of meters by the number of seconds:
Speed skater:
500/40
= 12.5 meters per second
Cheetah:
260/10
= 26 meters per second
So, a speed skater travels 12.5 meters per second and a cheetah travels 26 meters per second.
x + 2x + (-24)
How do I do this
Answer:
Since it is not an equation you would combine like terms and the answer would be 3x + (-24)
Step-by-step explanation:
There is no answer technically, you're just simplifying
Answer:
Step-by-step explanation:
you can't solve you don't know what X is so x+ 2x + (-24) is the answer
4. x =
a. 20°
b. 240
C. 28°
(5x)
120°
d. 30°
An exterior angle equals the sun of the two opposite inside angles:
5x = 120 + x
Subtract 1 x from both sides:
4x = 120
Divide both sides by 4:
X = 30
The answer is D. 30
Please help me answer number 12
Answer:
It is same.
The PS and RS leg which has the same length allow the use of HL by providing the same degree of angle.
Thank you and please rate me as brainliest as it will help me to level up
what is 9.8846387057 to the nearest whole number
Answer:
10
Step-by-step explanation:
The . 8 would round up making the 9 a 10
So the answer is ten
Answer:how many total ounces are in this container?
Step-by-step explanation:
which list below shows the fractions in order from least to greatest
5/9,3/4,2/3,3/5
5/9,3/5,2/3,3/4
2/3,3/5,4/9,5/9
3/5,2/3,3/4,5/9
Answer:
Step-by-step explanation:
Its D
Please help me with this problem!!! I have been trying to figure it out for the past hour and I still can’t figure it out. Thanks for your help and have a nice day!!!
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[tex] \frac{ {6}^{8} \times {6}^{3} }{ {6}^{5} } = \\ [/tex]
[tex] \frac{ {6}^{8 + 3} }{ {6}^{5} } = \\ [/tex]
[tex] \frac{ {6}^{11} }{ {6}^{5} } = \\ [/tex]
[tex] {6}^{11} \times {6}^{ - 5} = [/tex]
[tex] {6}^{11 - 5} = [/tex]
[tex] {6}^{6} [/tex]
Thus ;
[tex] {6}^{[6]} \\ [/tex]
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If m = 50, what is the value of the expression below?
0.44m + 23
A. 22
B. 45
C. 67
D. 117
SHOW YOUR WORK PLZSSSSSSSS
Answer:
B. is your answer dear
Step-by-step explanation:
0.44*50+23
22+23 = 45
hope you got it.
Pls help with this question
Answer:
Opposite sides are congruent
Step-by-step explanation:
First off the equals sign with the wave over it means congruent. It wouldn't be either answer with diagonals because the segments that are congruent are sides of the parallelogram not diagonals. Next even though the congruent sides are parallel by providing the information (AB being congruent to CD and AD bring congruent to CB) opposite are parallel wouldn't be the answer because of what you are given.
Sorry if its wordy I hope this helps : )
In a class of 50 students, 40% are girls. Find the number of girls and number of girls in the class.
Answer:
20 girls.
Step-by-step explanation:
40% * 50
= 20
Hope this helped!
Nick bought 6 tickets to an air show if he spent 156 dollars how much did the tickets cost
Answer:
$26 dollars
Step-by-step explanation: when you divide 156 divided by 6 you get 26
Answer:
26 dollars per ticket
Step-by-step explanation:
156/6=26
26x6=156
Find the length of AD
Answer:
What is the length of the BC line? It is not clear in the figure
Answer:
x=1
Step-by-step explanation:
as the two triangles are similar
So the equation is
5+x/12=5/10
50+10x=60
10x=60-50
10x=10
x=10/10
therefore
x=1
I will give brainliest! Please help!!
Help please base 20 points
Answer:
12003612721
Step-by-step explanation:
im pretty sure you multiply it by its self 4 times
Answer:I'm sorry I can't really see what it says but I'm very good at math if you need help with anything else please let me know
Step-by-step explanation: I tried
The following information is known about a savings account. What amount of simple interest will be earned?
Answer:
what is you exact question?
What is the domain and range please?
Answer:
domain is all the values that go into a function, and the range is all the values that come out.
Answer:
Domain: -6 <= x <= 3 and Range -9 <= y <= 5
Step-by-step explanation:
Domain is x
Range is y
(x, y)
The smallest x is -6
The largest x is 3
The smallest y is -9
The largest y is 5
A telephone pole is 24 feet tall. A support cable is attached to the top of the pole to keep the pole from leaning. The stake for the cable is set in the ground 18 feet away from the base of the pole, as shown. How long is the support cable?
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation: