Suppose you drop a ball from 120 feet. The ball will bounce to 25 of its previous height. What is the total distance the ball travels from when you let it go to the max height it reaches after the 5th bounce? Round to the nearest tenth.
A) 268.7
B)273.9
C)277.1
D)279.3
Answer:
277.1 feets
Step-by-step explanation:
Drop height = 120 feets
Ball bounces 2/5 of previous height
Height after 1st bounce :
120 * 2/5 = 48 feets
Return distance = 48 feets
Height after second bounce :
48 * (2/5) = 19.2 feets
Return distance = 19.2 feets
Height after 3rd bounce :
19.2 * (2/5) = 7.68 feets
Return distance = 7.68 feets
Height after 4th bounce :
7.68 * (2/5) = 3.072 feets
Return distance = 3.072 feets
Height after 5th bounce :
3.072 * (2/5) = 1.2288 feets
(120 + (2*48) + (2*19.2) + (2*7.68) + (2*3.072) + 1.2288) = 277.1328
= 277.1 feets
In the data set below, what are the lower quartile, the median, and the upper quartile? 626676848497 lower quartile = median = upper quartile =
Answer:
Q1 = 4
Q2 = 7
Q3 = 42. 75
Step-by-step explanation:
Given the data:
626676848497
6, 2, 66, 7, 6, 8, 4, 8, 49, 7
Arrange in ascending order :
2, 4, 6, 6, 7, 7, 8, 8, 49, 66
The lower quartile (Q) :
1/4(n+1)th term
n = number of sample = 10
1/4(11)th term
2.75 term : (2 + 6) /2 = 8/2 = 4
Median :
1/2(n+1)th term
n = number of sample = 10
1/2(11)th term
5. 5 term : (7 + 7) /2 = 14/2 = 7
Upper quartile :
3/4(n+1)th term
3/4(11)th term
8.25 th term
3 /4 (8 + 49) = 42.75
Simplify:
3x2 – 2x + 1 = [?]
x=4
Answer:
look at the picture i sent........
What is the answer?????
Answer:
5/12
5 balloons were yellow out of the 12
Approximate the distance between (0, -5) and (4, 1) to the nearest tenth, if necessary.
Answer:
7.7
Step-by-step explanation:
To solve this question we must use Pythagoras (a²+b²=c²) Let those two dots be A and B respectively.Imagine a line is drawn that pases through both dots,
Imagine that the line given is the hypotenuse (the longest side of a right-angled triangle) of a right-angled triangle and the other sides as a line from A going to the right, and a line from B going downwards, making the final vertexes for the triangle at coordinates: 0,-5 4,1 and 4,-5 (the vertex we made). now we find the lengths for the sides: 4 and 6 so we use these to plug them into pythagoras's equation:
4²+6²=c²
24+36=c²
√60=c
c=7.74....
But all we need is until the tenths so the answer is 7.7 (as the hundredths digit, 4, rounds down)
Can anyone help me out
What is the coordinate of the focus
for the following parabola:
(x - 1)2 = 12(y + 2)
A. (1, -2)
B. (0, 12)
C. (12,0)
D. (1, 1)
Answer:
I want to say B or D please tell me if I'm right lol
Please factor using the x method
( please do not answer if you don't know how to do it )
Answer:
[tex]2(x - 5) ( 9x - 2)[/tex]
Step-by-step explanation:
((2•3^2x^2) - 94x) + 20
Pull like factors :
18x^2 - 94x + 20 = 2 • (9x^2 - 47x + 10)
Factor
9x^2 - 47x + 10
The first term is, 9x^2 its coefficient is 9.
The middle term is, -47x its coefficient is -47.
The last term, "the constant", is +10
Step-1: Multiply the coefficient of the first term by the constant 9 • 10 = 90
Step-2: Find two factors of 90 whose sum equals the coefficient of the middle term, which is -47.
-90 + -1 = -91
-45 + -2 = -47
Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -45 and -2
9x^2 - 45x - 2x - 10
Step-4: Add up the first 2 terms, pulling out like factors :
9x • (x-5)
Add up the last 2 terms, pulling out common factors :
2 • (x-5)
Step-5: Add up the four terms of step 4 :
(9x-2) • (x-5)
Which is the desired factorization
thus the answer is
[tex]2(x - 5) ( 9x - 2)[/tex]
Answer:
Solution given:
18x²-94x+20
taking common
2(9x²-47x+10)
doing middle term factorization
90=45*2
2(9x²-45x-2x+10)
2(9x(x-5)-2(x-5))
2(9x-2)(x-5)
2(x-5)(9x-2)
Last one is a required answer.
solve the system by substitution
5x+y=-14
5x- 3y=2
Answer:
x = -2, y = -4, or (-2, -4).
Step-by-step explanation:
5x + y = -14
5x - 3y = 2
If we look at the first equation, we can see that y can be easily isolated.
5x + y = -14
Subtract 5x from both sides.
y = -5x - 14
Now we have a variable that we can plug into the second equation.
5x - 3y = 2
5x - 3(-5x - 14) = 2
Distribute the -3 across each term in the parentheses.
5x + 15x + 42 = 2
Combine like terms.
20x + 42 = 2
Subtract 42 from both sides.
20x = -40
Divide both sides by 20 to isolate x.
x = -2
Plug in x = -2 back into one of the equations to find y.
y = -5x - 14
y = -5(-2) - 14
Multiply.
y = 10 - 14
Subtract.
y = -4
Our solution is x = -2, y = -4, or (-2, -4).
Check your answer by plugging both values into one of the equations.
5x - 3y = 2
5(-2) - 3(-4) = 2
-10 + 12 = 2
2 = 2
Your answer is correct.
Hope this helps!
f(x) = x^2– 2x + 3; f(x) = –2x + 12
Answer:
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Find the value ot x to the nearest tenth. х 3 9 3
What are the coordinates of point A?
Answer:
A . ( 1 , 2 )
Solve the following expression when
x = 7 and y = 2
(y + 2). (x + 4 - 5)
Tim earns $52.50 for 5 hours of dog walking. He earns the same amount
per hour each time he dog walks. How many hours does Tim need to dog
walk to earn $168?
What transformation has taken place
Tell me the statements that are true ?? Please and hurry ASAP DUE SOON
the diameter is found by the formula πr2
[tex]\frac{3}{4}-\frac{2}{3}[/tex]
find the coordinates of point p along the direct line segment ST so that SP to PT is 1 to 3. S= (-6,7) and T=(9,25)
Answer:
Step-by-step explanation:
the answer is 80
hey! i’ll give brainliest please help!
Answer:
20
Step-by-step explanation:
Under Darius, the Persian Empire flourished. His most notable accomplishment was perfecting the system of government begun by Cyrus. The empire was divided into 20 satrapies, or provinces, each ruled over by a satrap.
Guys help me please
Answer:
A is correct option. Thanks
simplify (√3+√2) ²
15 points
[tex] \sqrt{(3 + 2) ^{2} } [/tex]
Step-by-step explanation:
Given :-
(√3+√2)²√{(3+2)²}And we need to simplify the given numbers . We can use a identity in 1st Question as ,
[tex]\implies (a+b)^2=a^2+b^2+2ab[/tex]
Simplifying first :-
[tex]\implies (\sqrt3+\sqrt2)^2\\\\\implies (\sqrt3)^2+(\sqrt2)^2+2.\sqrt3.\sqrt2 \\\\\implies 3+2+2\sqrt6=\boxed{\red{5+\sqrt6 }}[/tex]
Simplifying second :-
[tex]\implies (3+2)^2\\\\\implies 5^2\\\\\implies \boxed{\red{25}}[/tex]
What is the area of the composite shape?
cm
6 cm
5 cm
Answer:
40 cm
Step-by-step explanation:
Area of rectangle:
A = bh
A = 5(6)
A = 30
Area of triangle:
A = 0.5bh
A = 0.5(5)(4)
A = 2.5(4)
A = 10
Combined:
30 + 10
40
**PLEASE HELP**
Solve the following equation for g: 2(9 - h) = b + 4
Plzzz help me!
Anthony invested $1000 in a savings account at 2% simple interest. He invested the money for 4 years.
What is the total amount Anthony will have at 4 years?
Answer:
80
Step-by-step explanation:
find 2 percent of 1000 and times it by 4 the amount of years
Answer:
$1082.43
Step-by-step explanation:
You use the interest formula.
P(1+r/n)^nt
Then plug it in
1000(1+.02)^4
Which comes out to 1082.43
Hope this helps
Brainliest would be appreciated
please bootiful people help this nonsmart person
Answer:
9
Step-by-step explanation:
the triangle is right angle.
at right angle it makes 90°. therefore;
(3d+1)°+(6d+8)°=90°
3d+1°+6d+8°=90°
9d+9°=90°.
9d=90°-9°
9d=81°
d=81/9
d=9°
ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!!
Answer:
G
Step-by-step explanation:
Because it is an equation
In ΔRST, r = 530 cm, s = 530 cm and t=950 cm. Find the measure of ∠T to the nearest 10th of a degree.
Jewan is setting up a monthly budget. His gross monthly income is $3125, but 20% is deducted for taxes. How much money is deducted in taxes, and how much is his monthly net pay?
Answer:
$625
$2500
Step-by-step explanation:
tax = percent of tax x income
0.2 x 3125 = 625
amount remaining = income - tax
3125 - 625
the sum of 5 distinct prime numbers is an even number. which of the following is one of the 5 numbers in the sum?
Answer:
2
Step-by-step explanation:
One of them has to be 2. Two odd numbers added together make an even number. So you have two pairs of odd prime numbers and 2 must be the last one. If it is not then the sum will be odd.
Here's an example
3 + 5 + 7 + 11 = 26 which is even. If the next prime is odd, the whole sum will be odd.
26 + 17 = 43
However if the 5th number is two, then the sum of the 5 primes will be even.
26 + 2 = 28
Find the surface area of the regular pyramid.
PLS HELP ME
Answer:
The surface area equals 45.