Answer:
being they all have the same amount of chances to be rolled on the same amount i would say 40
Step-by-step explanation:
A ball is dropped from a height of 5m. After each bounce it rises to 35% of its previous height. After how many bounces does the ball reach a Height of less than 50cm?
Answer:
After the third bounce the ball reaches a height of less than 50cm.
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is always the same, and it's called common ratio. The nth term of a geometric sequence is given by:
[tex]A_n = A_0(r)^{n}[/tex]
In which [tex]A_0[/tex] is the first term and r is the common ratio.
A ball is dropped from a height of 5m.
This means that [tex]A_0 = 5[/tex]
After each bounce it rises to 35% of its previous height.
This means that [tex]r = 0.35[/tex]
Thus
[tex]A_n = A_0(r)^{n}[/tex]
[tex]A_n = 5(0.35)^{n}[/tex]
After how many bounces does the ball reach a Height of less than 50cm?
50cm = 0.5m. This is n for which [tex]A_n = 0.5[/tex]. Thus
[tex]A_n = 5(0.35)^{n}[/tex]
[tex]0.5 = 5(0.35)^{n}[/tex]
[tex](0.35)^n = \frac{0.5}{5}[/tex]
[tex](0.35)^n = 0.1[/tex]
[tex]\log{(0.35)^n} = \log{0.1}[/tex]
[tex]n\log{0.35} = \log{0.1}[/tex]
[tex]n = \frac{\log{0.1}}{\log{0.35}}[/tex]
[tex]n = 2.19[/tex]
Rounding up:
After the third bounce the ball reaches a height of less than 50cm.
PLEASE HELP. !!!!!!!!!!
Answer:
the last one bottom right
Step-by-step explanation:
well, did it in my head, but the idea is to calculate it out
(x-8)*(x-8)=50
is just
x²-16x+64=50
to get the 64 down to just 5, we need to subtract 59, on both sides, leaving us with -9 on the righthand side
Please help I will award brainless to whoever helps please it’s urgent
Answer:
128 sq units :)
Step-by-step explanation:
hope this helps! have a great day :)
Find the opposite of each polynomial.
Answer:
Step-by-step explanation:
The word "opposite" is indicated by the - sign out front. Mathematically, we multiply a -1 into the parenthesis which, not coincidentally, changes the signs of everything inside the parenthesis, making them "opposite". The opposite of this polynomial is
- a - b - c
WILL MARK BRAINILIEST
are the angles corresponding, alternate interior, alternate exterior, or constructive interior
Answer:
maybe it is corresponding
10 points!
If you are going to answer, actually answer!
Answer:
1/27
Explanation:-
(1/3)^3=(1x1x1)/(3x3x3)=1/27
Answer:
0.03703703703 or
²/27
sorry i am late but still hope I helped
Step-by-step explanation:
write this expression using numbers and symbols two less then six times a number
a. 2n-6
b.2n+6
c.6n-2
d.6-2
Answer:
d
Step-by-step explanation:
becaus ei did
find the surface area. 3in. 2in. 6in. 2in. 4in.
Answer:
I think it's 4in is my answer
help me solve for m<4 and m<5 and x
Answer:
x = 18
Angle 4 = 31 degree
Angle 5 = 59 degree
Step-by-step explanation:
According to the question, angle 3 is 90 degree and the sum of angle 4 and 5 is equal to the angle 3 as they are vertically opposite angles.
Angle 4 + angle 5 = 90 degree
Angle 4 = 2 x - 5
angle 5 = 4 x - 13
So, according to the question,
2 x - 5 + 4 x - 13 = 90
6 x - 18 = 90
6 x = 108
x = 18
So, angle 4 = 2 (18) - 5 = 31 degree
So, angle 5 = 4 (18) - 13 = 59 degree
Luis is building a new deck and needs to have a slab in of concrete poured.he knows the contractor charges an initial coast of $75 plus an additional $2.50 per square foot of concrete.which equation can be used to determine the coast (y),in dollars,to pour a concrete slab with an area of x square feet.
Answer:
[tex]y = 2.5x + 75[/tex]
Step-by-step explanation:
Given the linear equation 5x+3y-9=0. Write another linear equation in two variables such that the geometrical representation of the pair so formed are parallel lines
Answer:[tex]5x+3y+1=0[/tex]
Step-by-step explanation:
Given
The linear equation is [tex]5x+3y-9=0[/tex]
The other linear equation parallel to the given line can be represented by
[tex]5x+3y+c=0[/tex]
Here, c can take any value . for example c=1, line becomes
[tex]\Rightarrow 5x+3y+1=0[/tex]
if x and 5x are supplementary angles, find them
Answer:345678098321
Step-by-step explanation: I think so lol
Answer:
x+5x=180( adj.suppl.ls)
6x=180
6x÷6=180÷6
x=30
What expression is equal to COS B????
Answer:
A/C
Step-by-step explanation:
Since the sum of the angles in a triangle equals 180°, and angle C is 90°.
That means angles A and B add up to 90°, that is, they are complementary angles. Therefore the cosine of B equals the sine of A.
We saw on the last page that sin A was the opposite side over the hypotenuse, that is, a/c. Hence, cos B equals a/c.
Your welcome! :)
Surface area of a cylinder
Answer:
A=2πrh+2πr2
Step-by-step explanation:youre welcome
Step-by-step explanation:
πr^2+2πrh
(r= radius, h= height)
Convert 5 km 36 m into km
Answer:
5.036 km
Step-by-step explanation:
36 m ÷ 1000 = 0.036 km
5 km + 0.036 km = 5.036 km
someone help me answer these two
Given the following system of equations, what value of x makes the equations true?
x+y= 3.25
x-y= 1.75
I need help asap pls pls pls...
Answer:
c)
Step-by-step explanation:
please don't trust ;-;
What is the simplified expression for -3(2x-y)+2y+2(x+y)
Answers:
8x+y
y-4x
7y-4x
-4x-y
Answer:
7y - 4x
Step-by-step explanation:
Given
- 3(2x - y) + 2y + 2(x + y) ← distribute parenthesis
= - 6x + 3y + 2y + 2x + 2y ← collect like terms
= 7y - 4x
What’s is the answer plzzzz help
eacg fruit basket has 5 apples and 3 pears . what is the ratio of the total number of fruits to the numbers of pears in each fruit basket ?
Answer:
The ratio is 5:3 because there are 5apples and 3 pears
Kara and Karl love steak, fried chicken, hamburgers, mashed potatoes, and french fries. They like green beans and peas. How many different meals including a meat, potatoes and a green vegetable can they make from these choices? 8 meals 16 meals a. C. b. 12 meals d. 24 meals
Answer:
steak, chicken, and hamburger are meats. 3 meats.
The French fries and mashed potatoes are potatoes. 2 Potatoes.
And Green beans and peas are green vegetables. 2 Vegetables.
I think we just do 3 x 2 x 2 = 12 Meals.
hope that helps bby<3
Over 5 straight plays, a football team gained 8 yards, lost 4 yards, gained 7 yards, gained 3 yards, and lost 11 yards. What is the team's position no compared to their starting position? WILL GIVE BRAINLIEST ALSO BE CORRECT PLS THX
Which function graph is shown
Answer:
A) y=3cos(-x)
Step-by-step explanation:
Because the amplitude of the graph is 3, this eliminates options C and D as their amplitudes are different. With the period of the graph being 2π, B cannot be correct because that would have a period of π/2. Therefore, A is correct.
Please help me that is the volume???
Let us first find the hieght of the triangle:
= 16² = p² + 8²
= 256 = p² + 64
= 256 - 64 = p²
= √192 = p
= 13.85 = p
Area of equilateral trianglular prism:
= ⅓× l² × h
Here, l = length of side and h is height= ⅓ × 16² × 13.85
= 256 × 13.85 × ⅓
= 1181.86 cm³
= 1182 cm³ (approx)
Write the equation of the line that passes through the points (-6,5) and (3,−5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
[tex]\displaystyle y-5=-\frac{10}{9}(x+6)[/tex]
Or:
[tex]\displaystyle y+5=-\frac{10}{9}(x-3)[/tex]
Step-by-step explanation:
We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.
Point-slope form is given by:
[tex]y-y_1=m(x-x_1)[/tex]
Thus, first, we need to find the slope. We can use the slope formula:
[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-5)-(5)}{(3)-(-6)}=\frac{-10}{9}=-\frac{10}{9}[/tex]
Next, we can use either of the two given points. I'll use (-6, 5). So, let (-6, 5) be (x₁, y₁). Substitute:
[tex]\displaystyle y-(5)=-\frac{10}{9}(x-(-6))[/tex]
Or, fully simplified:
[tex]\displaystyle y-5=\frac{-10}{9}(x+6)[/tex]
Using the other point, we will acquire:
[tex]\displaystyle y-(-5)=-\frac{10}{9}(x-(3))[/tex]
Or, simplified:
[tex]\displaystyle y+5=-\frac{10}{9}(x-3)[/tex]
Sean and sarah spend $70 a month eating out how much money would they have after 15 years if they invested the money instead at 4 percent compounded monthly round your answer to the nearest hundredth
Answer:
Future Value= $17,170.12
Step-by-step explanation:
Giving the following information:
Monthly deposit (A)= $70
Interest rate (i)= 0.04/12= 0.0033
Number of periods (n)= 15*12= 180 months
To calculate the future value (amount saved), we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
FV= {70*[(1.0033^180) - 1]} / 0.0033
FV= $17,170.12
is How many oranges did
Sally eat last month? a statistical question
Answer:
25
Step-by-step explanation:
Lets say it's a 30 day month. Sally really likes oranges so she eats them a lot.
20 Points!!!
A ping pong ball is released from a height of 60 centimeters (cm) and bounces to a height that is 3/4 the previous height. What function estimates the height, H, in cm of the ping pong ball after x bounces?
Enter a number in each empty box to correctly complete the function.
H = ____ (____)^x
Multiply the starting height (60) by the height of each bounce (3/4) raised to the number of bounces (x)
H = (60)(3/4)^x
The answer to the given expression is:
H = 60(3/4)^x
What do we mean by exponents?A number is raised by another number which is called the power/exponent which implies that the number is multiplied by itself for that many number of times.
How do we solve for H?After every release, it bounces 3/4th of the previously released height.
After 1st bounce H = 60(3/4)
After 2nd bounce, it will be 3/4th of the previous H,
∴ H = 60(3/4)(3/4) = 60(3/4)^2
Similarly, after the 3rd bounce, it will be 3/4th of the previous H,
∴ H = 60(3/4)^2 * (3/4) = 60(3/4)^3
So it goes on like this. After x bounces,
H = 60(3/4)^x
Learn more about the Exponents at
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a cone with base circumference 6 pi and
a height equal to half the radius
A cone with a base circumference of 6 pi and a height equal to half the radius. The volume of the cone is 42.39.
What is the volume of a cone?The volume of the cone is the product of one-third of the height, pie, and square of the radius.
The volume of the cone = 1/3 [tex]\pi r^{2} h[/tex]
A cone with a base circumference of 6 pi and a height equal to half the radius.
The circumference of the circular base = 2πr
6π = 2πr
r = 3
The radius of the circular base of a cone is 3 unit.
A height equal to half the radius. Thus, the height is 1.5
The volume of the cone = 1/3 [tex]\pi r^{2} h[/tex]
= 1/3 (3.14) (9)(1.5)
= 42.39
Learn more about volume;
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Share $150 among John, Mary, and Sarah so that each of the two girls receives twice as much as John. Calculate the amount of money Jon received.