Answer:
The equation that represents the relationship between the number of bounces and the height is [tex]H = 204\cdot 0.72^{n}[/tex].
Step-by-step explanation:
According to this exercise, we notice that maximum height of the ball ([tex]H[/tex]), measured in centimeters, is reduced at geometric rate and as a function of the number of bounces ([tex]n[/tex]), with no unit, which is defined by geometric progression:
[tex]H = H_{o}\cdot r^{n}[/tex] (1)
Where:
[tex]H_{o}[/tex] - Initial height of the ball, measured in centimeters.
[tex]r[/tex] - Bounce factor, no unit.
If we know that [tex]H_{o} = 204\,cm[/tex] and [tex]r = 0.72[/tex], then the equation that represents the relationship between the number of bounces and the height is:
[tex]H = 204\cdot 0.72^{n}[/tex] (2)
Need help with both problems, I wasn’t paying attention in class at all. Help!!
Answer:
b=(3a/(2h)), x=(y-b)/m
Step-by-step explanation:
Simply isolate b ;
a=2/3bh, Divid both sides by 2/3 and h
a/(2/3h)=b, simplify
b=(3a/(2h))
Simply isolate x;
y=mx+b; subtract b from both sides and divide by m
y-b=mx
(y-b)/m=x
HELP ASAPPPP PLEASEEEE
Select each expression that has a value of 36 when x =12
In a basketball game, Patrick scores twice as
many points as John. John scores four points
fewer than Charles, and Charles scores three
times as many points as Anthony. If Anthony
scores 5 points, how many points did Patrick
score? Explain your reasoning.
Answer:
15
Step-by-step explanation:
Answer:
He scored 22 points.
Step-by-step explanation:
Anthony scored 5 points. Chareles scored 3 times as much and thats 15. minus 4 is 11. 11 times 2 is 22!
please help me answer this question its urgent
Answer:
Step-by-step explanation:
1). [tex]\frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+2\frac{2}{9}n[/tex]
= [tex]\frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+(2+\frac{2}{9})n[/tex]
= [tex](\frac{2}{3}-\frac{3}{4}+\frac{1}{6})n+(2+\frac{2}{9})n[/tex]
= [tex](\frac{8}{12}-\frac{9}{12}+\frac{2}{12})n+(2+\frac{2}{9})n[/tex]
= [tex]\frac{(8-9+2)}{12}n+(2+\frac{2}{9})n[/tex]
= [tex]\frac{1}{12}n+(2+\frac{2}{9})n[/tex]
= [tex](\frac{1}{12}+2+\frac{2}{9})n[/tex]
= [tex](\frac{3}{36}+\frac{72}{36}+\frac{8}{36})n[/tex]
= [tex]\frac{83}{36}n[/tex]
= [tex]2\frac{11}{36}n[/tex]
2). [tex]\frac{2}{5}g-\frac{1}{6}-g+\frac{3}{10}g-\frac{4}{5}[/tex]
= [tex](\frac{2}{5}-1+\frac{3}{10})g-(\frac{1}{6}+\frac{4}{5})[/tex]
= [tex](\frac{4}{10}-\frac{10}{10}+\frac{3}{10})g-(\frac{5}{30}+ \frac{24}{30})[/tex]
= [tex](\frac{4-10+3}{10})g-(\frac{5+24}{30})[/tex]
= [tex]\frac{-3}{10}g-\frac{29}{30}[/tex]
= [tex]-\frac{3}{10}g-\frac{29}{30}[/tex]
3). [tex]i+6i-\frac{3}{7}i+\frac{1}{3}h+\frac{1}{2}i-h+\frac{1}{4}h[/tex]
= [tex]7i-\frac{3}{7}i+\frac{1}{2}i+\frac{1}{3}h-h+\frac{1}{4}h[/tex]
= [tex](7-\frac{3}{7}+\frac{1}{2})i+(\frac{1}{3}-1+\frac{1}{4})h[/tex]
= [tex](\frac{98}{14} -\frac{6}{14}+\frac{7}{14})i+(\frac{4}{12}-\frac{12}{12}+\frac{3}{12})h[/tex]
= [tex](\frac{98-6+7}{14})i+(\frac{4-12+3}{12})h[/tex]
= [tex]\frac{99}{14}i-\frac{5}{12}h[/tex]
A number went into this machine and 57 came out.
What number went in?
Answer:
47.5
Step-by-step explanation:
47.5=100%
57=120%
The input value is 47.5 when the output is 57.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
When the output is 120%, the input is 100%.
And the output is 1.2 times the input.
So, we have the output 57.
To find the input number:
Use division process,
The required number = 57 /1.2
The required number = 47.5.
Therefore, the number is 47.5.
To learn more about the division;
https://brainly.com/question/13263114
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3) In the Pacific Ocean, a seal was swimming 110 feet below sea level. As he was searching for food, he dove
down another 48 feet. What was the seal's final elevation relative to sea level?
eo
ther
110 €
Answer:
158 feet below sea level
Step-by-step explanation:
110 + 48 = 158
So 158 was the seal's final depth below sea level
Simplify: -4x(2x – 3) + 10x^2
Answer:
2x^2+12x
Step-by-step explanation:
Find the equation of the line that passes through (-1,2) and is perpendicular to 2y = 2x – 1.
Leave your answer in the form y = mx + c
Step-by-step explanation:
question is solved above in the picture
The equation of line that passes through point (-1,2) and which is perpendicular to 2y = 2x – 1 will be y = -x + 1.
Equation of lineThe General equation of a line is ax + by + c = 0
How to solve this problem? Since the line is perpendicular to 2y=2x-1, this means that its slope with be the opposite reciprocal of the line 2y=2x-1 ‘s slope.First, we should find the slope of the line 2y=2x-1:2y=2x-1
y=x-1/2
Therefore, the slope of 2y=2x-1 is 1 and the opposite reciprocal of 1 is -1 So far, we have this: y=-x+bTo find b (the y-intercept) we can plug the point (-1,2) into the equation we have so far and solve for b.y=-x+b
2=-(-1)+b
2=1+b
b=1
So, the equation of the line that passes through (-1,2) and which is perpendicular to 2y=2x-1 is y=-x+b
Learn more about equation of line from :
https://brainly.com/question/13763238
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Write the number 7.4 x 10^5 in standard form.
Michael is buying new shirts and pants for school. He bought shirts for $38 each and pants for $38 each. He purchased nine items and spent a total of $222. How many shirts did he buy?
Answer:
No possible solution
Step-by-step explanation:
Let:
Shirt = x
Pant = y
x + y = 9 - - - - - - - - - (1)
38x + 38y = 222 - - - (2)
From (1):
y = 9 - x
Put y = 9 - x in (2)
38x + 38(9 - x) = 222
38x + 342 - 38x = 222
Based on the Given parameters, we can conclude that the equation does not have a possible solution.
Please help please please
Answer:
4/3
Step-by-step explanation:
tan is opposite/adjacent
tan A is 12/9
12/9 simplified is 4/3
Thanks + BRAINLIST
Need correct answer ASAP
Answer:
O1: b) linear, proportional
O2: a) linear, non-proportional
O3: c) nonlinear
Step-by-step explanation:
Recall that a proportional function can be drawn as a straight line (linear function) through the origin (0,0).
O1 is a proportional function since it is linear and goes through the origin.
O2 has a y-intercept of y = 5; therefore, it is not proportional because it does not go through the origin (0,0), although it is linear.
O3 resembles a quadratic function, which means it's not a linear function (nonlinear).
Solve the literal equation for y.
2x – xy = 3
Answer:
Step-by-step explanation:
2x-xy=3
-xy=3-2x
y=3-2x/x
Answer:
[tex]y = - \frac{3}{ x} + 2[/tex]
Step-by-step explanation:
So we want y to be on a side by itself.
2x-xy=3
Subtract 2x from each side
-xy=3-2x
divide each side by -x
[tex]y = \frac{3}{ - x} + 2[/tex]
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
5x+10=5(x+2) what is the answer I’ll give u 85 points
Answer:
All real numbers of x.
Step-by-step explanation:
5x+10=5(x+2) have the exact same equations on both sides.
5x+10=5x+10
If both are graphed, they will intersect each other for every value of x.
Answer:
here's the answer,
Step-by-step explanation:
by solving it we get ;
5x + 10 = 5 (x + 2)
5x + 10 = 5x + 10
hence , L.H.S = R.H.S
proved ..
Will give brainliest
Answer:a,cd,and h
Step-by-step explanation:
Question 1
Jessie has been training for a half-marathon. Jesse trains on a track where each lap is of a mile. If
esseran 2 miles, how many laps did she run?
Answer:
Jessie runs 2 lap
Step-by-step explanation:
Given:
1 lap = 1 miles
Jessie runs = 2 miles
Find:
Number of lap Jessie runs
Computation:
Given that; 1 lap = 1 miles
So,
1 miles = 1 lap
And
2 miles = 2 lap
So,
Jessie runs 2 lap
Write a integer for the situation WILL MARK BRAINLIEST
HELP PLSPLS QUICKPLSSSSSSSSSSSS
Answer:
Step-by-step explanation:
11/12 - 5/8 = ? Make the denominator the same (multiply the first term by 2 and the second term by 3).
22/24 - 15/24 = ? Just simplify/solve. 22-15=7.
7/24
OPTION A = 7/24
Is the following equation linear or nonlinear??
Question 4 (1 point)
A ball is thrown from a mountain 960 feet high, into the air with an upward velocity of 64 ft/s. When did the ball hit the
ground? And What was the max height it reached?
Answer:
The ball will hit the ground at 10 seconds and its maximum height is 1024 feet.
Step-by-step explanation:
Height of a mountain, h = 90 feet
Upward velocity of a ball, u = 64 ft/s
Its height as a function of time can be written by using the second equation of motion as follows :
[tex]f(x) = -16t^2 + 64t + 960[/tex] .....(1)
When it will hit the ground, f(x) = 0
[tex]-16t^2 + 64t + 960=0\\\\16(-t^2+4t+60)=0\\\\-t^2+4t+60=0[/tex]
It is quadratic equation.
t = -6 s and t = 10 s
Neglecting -6 seconds, the ball will hit the ground at 10 seconds.
For maximum height,
Put f'(x) = 0
[tex]-32t+64=0\\\\\\t=\dfrac{64}{32}\\\\t=2\ s[/tex]
Put t = 2 in equation (1)
[tex]f(2) = -16(2)^2 + 64(2) + 960\\\\=1024\ \text{feet}[/tex]
Hence, the ball will hit the ground at 10 seconds and its maximum height is 1024 feet.
Chau made $252 for 18 hours of work. At the same rate, how much would he make for 9 hours of work?
Answer:
$126
Step-by-step explanation:
$252/$18=$14 dollars per hour.
now take 14*9 and you get $126.
Answer:
$126
Step-by-step explanation:
Okay, so to solve this question, we need to get from 18 (hours) to 9. To do this, we obviously divide 18 by 2. Since we did this, we now have to do the same thing with the other side ($252.) 252 divided by 2 is 126. This means that if Chau made $252 in 18 hours, he will make $126 in 9 hours.
Have a nice day! :)
Kristen bought a 14 ounce bottle of catshup for 91 cents. At the same rate, how much would a 20-ounce bottle cost?
Answer:
$1.30 or 130 cents
Step-by-step explanation:
You divide 91 by 14 to get the amount per ounce and you would get 6.5. Then you multiply that by 20 to get the new amount which is 130, or $1.30.
Determine the value for x and y
I’ll give brainliest pls help
Answer:
x = 10 and
[tex]y = 2 \sqrt{29} [/tex]
Step-by-step explanation:
see the explanation in attachment.
Plz plz I need help plz plz really fast plz plz I will cry if u help me giving 25points
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
I’m not entirely sure with this question! Giving brainliest answer. :)
You just need to simply distribute the 4:
4(2y + p)
8y + 4p
Hope this helps! :)
Answer:
i dont know if this is right but i tried
4*2y+p= 8y+p
Alexandra worked 5 hours on Monday, 4.5 hours on Tuesday, and 2.5 hours on Wednesday. Which is closest to the mean number of hours she worked over the three-day period?
5 + 4.5 + 2.5 = 12 ÷ 3 = 4
how I know mean is when you add each together then divide it by how many things you added together so we added 3 things together so just divide your answer by 3.
A grocery store sells a bag of 8 oranges for $6.24. If Chase spent $8.58 on oranges, how many did he buy?
Answer:
10 oranges
Step-by-step explanation:
Instructions to care for a plant say to water it with 5 cups of water every day. The plant has been getting 15% too much water. How much water has the plant been getting?
Answer:
5.75 cups of water
Step-by-step explanation:
divide 5 by 15 % and add that to what it it should be getting
Solve the system of equations.
Answer:
x = -2y
Step-by-step explanation:
Step 1. x + 2y = 0
Step 2. x + 0 = -2y
Step 3. x = -2y
0.625 divided by 0.56
Answer:
1.116071429
Step-by-step explanation:
This is an irrational number, but if you round it, it should be about 1 or 1.12. You can put this in the calculator btw :)