Based on the height of the ball suspended from a spring, the height of the ball at equilibrium is K feet.
What is the ball's height at equilibrium?The model for the height of the ball when it is suspended from a spring is shown as:
= aSin(b ( t - h)) + k
Given this, we can infer the value of h by looking at the general form of the Sin function which is:
y = Asin(Bx) + c
In the above:
A = amplitude
B = (2 x pi) / Period
C = midline
Comparing the function and the general Sin function, we notice that:
C = K
If C = K then it means that K is the height of the ball at its equilibrium because C as the midline represents the equilibrium height.
In conclusion, the height of the ball at equilibrium is K feet.
Find out more on a ball's equilibrium height at https://brainly.com/question/15627638
#SPJ1
find the value of z
Answer:
[tex] z = 12 \sqrt{5} [/tex]
Step-by-step explanation:
By geometric mean property:
[tex]y = \sqrt{24 \times 6} \\ \\ y = \sqrt{144} \\ \\ y = 12 [/tex]
By Pythagoras Theorem:
[tex] z = \sqrt{ {12}^{2} + {24}^{2} } \\ \\ z = \sqrt{144 + 576} \\ \\ z = \sqrt{720} \\ \\ z = 12 \sqrt{5} [/tex]
John has $80. Every week, he spends $7.
Create an equation that represents how much money, m, he has after t weeks.
How much money, in dollars, will he have after the fourth week?
Enter the equation and the answer on separate lines.
16. Solve the system of equations by graphing.
y = x + 8
y = - x- 6
Answer:
Step-by-step explanation:
x + 8 = -x - 6
2x + 8 = -6
2x = -14
x = -7
y = -7 + 8
y = 1
(-7, 1)
which sentence demonstrates the multiplicative identity?
1. 1/2•1=1/2
2. 1/2•2=1
3. 1/2+0=1/2•
Answer:
It’s 1/2•2 equals 1 because it showed correctly in the calculator. 0.5x2=1
Step-by-step explanation:
Taylor and Katy repeatedly toss a fair coin. Katy wins if heads are thrown, Taylor wins if tails are thrown, and the game ends when someone has won three times. Katy is currently behind 1 to 2. The chance Katy wins is:
Answer:
25%
Step-by-step explanation:
In order to find the chance/probability that Katy wins we need to first find the probability of her winning a single coin toss and then multiply it twice. This is because Katy has 1 win already and needs two more win the entire game. Since a coin toss only has 2 options and only 1 of those outcomes will cause Katy to win, then this means that the probability of Katy winning is 1/2 or 50%. Now we can multiply this probability twice to get the probability of Katy winning the entire game
1/2 * 1/2 = 1/4 or 25%
The simple interest earned for certain amount for 3 years at 5% is AED. 450. The amount invested is ________.
I need the steps also
Answer:
AED 3000Step-by-step explanation:
Let the invested amount is x
Interest rate is r = 5% simple = 0.05 timesTime is t = 3 yearsInterest amount I = AED. 450Using the interest formula and solving for x:
P*r*t = Ix*0.05*3 = 4500.15x = 450x = 450/0.15x = 3000The amount invested is AED 3000
Graphf (x) = 3x + 4 and a h(x) = -f(x).
Answer:
I think the answer is 56 .
yoo hii, could yall please help me!!
a scientist is studying wildlife. she estimates the population of bats in her state to be 270,000. she predicts the population to grow at an average annual rate of 2.9 percent
using the scientists prediction, create an equation that models the population of bats, y, after t years.
Answer:
Step-by-step explanation:
y = 270,000 ×1.029^t
A tree casts a shadow that is 9 feet long. The distance from the top of the tree to the end of the shadow is 15 feet. What is the height of the tree?
Answer:
15 feet tall hi hi hi hi hi hi
Answer:
10
Step-by-step explanation:
What is the product of these two binomials?
(x^2 - 5)(2x - 1)
Step-by-step explanation:
Please refer to the attachment
I would need you to tell me the answers to each question (3 questions)
Step-by-step explanation:
For no. 4
x = 180° - 98° - 50°
x = 32°
For no. 5
x = 180°- 67°-56°
x = 57°
For no. 6
x = 180° - 22° - 47°
x = 111°
Hope it will help :)❤
Clasificación de los ángulos de acuerdo a sus aberturas
Answer:
recto, agudo, obtuso, liano, completo, convexo, cóncavo
Step-by-step explanation:
Platter has six veggie wraps 12 turkey wraps and cost 64.50 another platter has eight veggie wraps turkey wraps and cost 56 what is the cost of a veggie wrap
Answer:
$3.25
Step-by-step explanation:
The computation of the cost of a veggie wrap is shown below:
Let us assume the veggie strap be x
And the turkey wrap be y
Now the equations are
6x + 12y = $64.50
x + 2y = $10.75
8x + 8y = $56
x + y = 7
Now
x + 2y = $10.75
x + y = $7
y = $3.75
So x = $7 - 3.75
= $3.25
The side lengths of a square are each 4p. By adding 3 to the length and subtracting 3 from the width, a rectangle is made. What is the area of the rectangle?
Answer:
16p^2 - 24p - 9
Step-by-step explanation:
I literally just took the test lol
que son monomios? y 4 ejemplos
una expression algebraic
5x9
xy²
8x6y
3x
120 pounds decreased by 5%
Answer:
114 pounds
Step-by-step explanation:
Please help me on this I need help and nobody is really helping
Answer:
(0,0)
Step-by-step explanation:
That is the middle.
20 pts help...................
Answer:
[tex]3 \frac{3}{4}[/tex]
Step-by-step explanation:
We have a right rectangular prism and the question is asking for the volume.
Look for the formula of volume :
V = LWH
L being length
W being width
H being height
The formula is basically saying to multiply all sides together, so let's do as so.
[tex]2*1\frac{1}{4} * 1\frac{1}{2}[/tex]
= [tex]3 \frac{3}{4}[/tex]
Answer:
c
Step-by-step explanation:
PLEASE HELP ASAP!!!
(Question in picture! Please include steps :))
Answer:
90 degree - 60 degree = 30 degree always remember yn will be 90 degree
Answer:
MN = π
Step-by-step explanation:
The arc MN is calculated as
MN = circumference of circle × fraction of circle
= 2πr × [tex]\frac{60}{360}[/tex] ( r is the radius )
= 2π × 3 × [tex]\frac{1}{6}[/tex]
= 6π × [tex]\frac{1}{6}[/tex]
= π
please please answer will give brainliest
Answer:
c
Step-by-step explanation:
.5xBxH=.5x16x5=8x5=40
Answer:
c
Step-by-step explanation:
sources: dude trust me
A certain region of America with over 500,000 households has a mean household income of $70,000 with a standard deviation of $20,000. Economists plan to take random samples of 625 households and calculate the sample mean income for each sample. Calculate the mean of the sampling distribution of x-bar.
Answer: Mean: 70,000
Standard Deviation: 500
Step-by-step explanation:
The mean is 70, 000 and standard deviation is 800.
What is Standard Deviation?The term "standard deviation" (or " σ ") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
Given:
A certain region of America with over 500,000 households.
Mean, [tex]\mu[/tex] = 70,000
and, Standard Deviation, [tex]\sigma[/tex] = 20,000
n = 625
So, the new mean = old mean
= 70, 000
and, the standard deviation = [tex]\sigma /[/tex]√n
= 20,000 / √625
= 20,000 / 25
= 800.
Hence, the mean is 70, 000 and standard deviation is 800.
Learn more about Standard Deviation here:
https://brainly.com/question/23907081
#SPJ5
Graph the following features:
• Slope = 2
Y-intercept = -5
y = mx + b
y = 2x - 5
you can go to desmos calculator online and simply put in the equation. but what you're going to do is find -5 on the y axis. then you will go up 2 and then 1 to the right.
it should look like this:
hope this helps !!
what this answer
954328- 864597
Answer:
Answer is 89,731
Step-by-step explanation:
I hope it's helpful!
Answer:
89731
Step-by-step explanation:
954328 - 864597
= 89731
Hope this helps :)
Let me know if there is any mistake!!
The school production of 'Our Town' was a big success. For opening night, 391 tickets were sold. Students paid $4.00 each, while non-students paid $6.00 each. If a total of $1786 was collected, how many students and how many non-students attended?
Answer:
280 students
111 non students
Step-by-step explanation:
number of students (S)
number of non students (N)
S+N=391 S=391-N
4S+6N=1786
substitute S
4(391-N)+6N=1786
1564-4N+6N=1786
subtract 1564 from each side
2N=222
N=111
S=391-111=280
PLEASE HELP!!!! 25 POINTS!!!
don't need to answer all but someone please help with a few questions!!!
(GRAPH INCLUDED)
Which variable did you plot on the x-axis and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.
Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
Test the residuals of two other points to determine how well the line of best fit models the data.
Use the line of best fit to help you to describe the data correlation.
Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arms span is 66 inches?
According to your line of best fit, what is the arm span of a 74-inch-tall person?
Answer:
x variable
Step-by-step explanation:
HOPE IT WILL HELP YOU
(-10,-8), (8, 10) what the slope for this plz
Answer:
1
Step-by-step explanation:
y2 - y1/x2 - x1
10 + 8/8 + 10 = 18/18 = 1
8-3(6-6x) please help
Answer:
-10 + 18x
Step-by-step explanation:
8-3 (6-6x)
distribute -3 with the numbers inside the parenthesis and you end up with
8 -18 + 18x
and you simplify by subtracting 18 from 8 so you get
-10 + 18x
The simplified form of the expression 8 - 3(6 - 6x) is -10+18x.
To simplify the expression 8 - 3(6 - 6x), we can apply the distributive property to remove the parentheses.
Distribute the -3 to both terms inside the parentheses:
8 - 3 × 6 + 3 × 6x
Simplify the multiplication:
8 - 18 + 18x
Combine like terms:
-10 + 18x
Therefore, the simplified expression is -10 + 18x.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ6
What is the sum of the rational expressions below? 2x + 7 / x + 5 + x - 3 / x + 5
Answer:
[tex]\frac{3x+4}{x+5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2x+7}{x+5}[/tex] + [tex]\frac{x-3}{x+5}[/tex]
Since both fractions have a common denominator then add the numerators, placed over the common denominator.
= [tex]\frac{2x+7+x-3}{x+5}[/tex]
= [tex]\frac{3x+4}{x+5}[/tex]
Answer:
The answer is
[tex] \frac{3x + 4}{x + 5} [/tex]
Step-by-step explanation:
We can do this by using the denominators.
[tex]then \\ \frac{2x + 7}{x + 5} + \frac{x - 3}{x + 5} \\ = \frac{2x + 7 + x - 3}{x + 5} \\ = \frac{3x + 4}{x + 5} [/tex]
find the length and the breadth of a rectangular plot whose area is 660 sq.m and its perimeter is 104
Answer:
find the mean median mean devialion