Answer:1.2
Step-by-step explanation:
The height of the 6th bounce of the ball will be 1.2 feet.
What is geometric sequence?
A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
What is the formula for finding the nth term of geometric sequence?The nth term of the geometric sequence is given by
[tex]T_{n} =ar^{n-1}[/tex]
Where,
[tex]T_{n}[/tex] is the nth term.
r is the common ratio
a is the first term
According to the given question.
During the first bounce, height of the ball from the ground, a = 6 feet
And, the each successive bounce is 72% of the previous bounce's height.
So,
During the second bounce, the height of ball from the ground
= 72% of 6
= [tex]\frac{72}{100} (6)[/tex]
= 0.72 × 6
= 4.32 feet
During the third bounce, the height of ball from the ground
= 72% of 4.32
= [tex]\frac{72}{100} (4.32)[/tex]
= 3.11 feet
Like this we will obtain a geometric sequence 6, 4.32, 3.11, 2.23,...
And the common ratio of the geometric sequence is 0.72
Therefore,
The sixth term of the geometric sequence is given by
[tex]T_{6} = 6(0.72)^{6-1}[/tex]
[tex]T_{6} =6(0.72)^{5}[/tex]
[tex]T_{6} = 6 (0.193)[/tex]
[tex]T_{6} = 1.16 feet[/tex]
[tex]T_{6} = 1.2[/tex] feet
Hence, the height of the 6th bounce of the ball will be 1.2 feet.
Find out more information about geometric sequence here:
https://brainly.com/question/11266123
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Julio has started his very own floral business. Center pieces 19.50 fixed cost $500 per month cost 8.00 to produce. If he sells 25 center peices to break even
Answer:The total cost, C, is the sum of the cost to produce the centerpieces and the fixed cost. The equation for C is C = 8n + 500.
The total revenue, R, of Julio's floral business is the product of the cost per centerpiece and the number of centerpieces sold. The equation for R is R = 19.50n.
Step-by-step explanation:
14) The ratio of green to red gummy bears in a package is 3:7. If there are a total of 80
gummy bears in the package, how many gummy bears are red?
Answer:
There are 56 red gummy bears
Step-by-step explanation:
The ratio of green to red gummy bears is = 3 : 7
Total gummy bears = 80
We need to find how many gummy bears are red?
We can write it as:
3x : 7x
where x is the common ratio.
We can write:
Quantity of Green gummy bears = 3x
Quantity of Red gummy bears = 7x
Total Gummy bears = 80
So, 3x+7x = 80
10x = 80
x = 8
Now, finding quantity of Red gummy bears by putting x = 8
7x = 7(8) = 56
So, There are 56 red gummy bears
Find the measure of each angle in the problem: complementary angles with measures 4x and 5x-18 degrees
Answer:
42 degrees and 48 degrees
Step-by-step explanation:
If they are complementary, that means they add up to 90 degrees, so
4x + 5x - 18 = 90,
Solving,
9x - 18 = 90
add 18 to both sides
9x = 108
divide both sides by 9
x = 12
Now, to find the angle measures of each you have to substitute x = 12 into both angles.
4x --> 4 * 12 = 48 degrees
5x - 18 --> 5 * 12 - 18 --> 60 - 18 --> 42 degrees
What is 8^6 ÷8 simplified
8^6 is actually 8×8×8×8×8×8.
So if you divide this by 8, you get 8^5 or 8×8×8×8×8
Well...
8×8×8×8×8=32768
Lin runs 5 laps around a track in 8 minutes.
a. How many minutes does it take to run 1 lap?
How many laps did Lin run in 1 minute?
Please hurry up(btw you will get the brainliest)♂️
Answer:
To run one lap Lin takes 1.6 minutes.
Step-by-step explanation:
To find this answer you would do 8 divided by 5. Always remember when dividing time goes first unless the instructions / directions / your teacher says differently. So, when you do 8 divided by 5 the answer you get is 1.6, and there is your answer. Also to check your answer you can do 1.6 times 5, and you get 8, so you know that 1.6 is the correct answer.
Find the measure of angle B
(9x+2) (5x-4)
Answer:
119
Step-by-step explanation:
[tex]due \: to \: Corresponding \: angles \\ (5x - 4) + (9x + 2) = 180 \\ 14x = 182 \\ x = 13 \\ \\ 9.13 + 2 = b \\ b = 119[/tex]
Answer:
In the given figure, we know that (angle B+angle C)=180°.
[tex](9x + 2) + (5x - 4) = 180 \\ 14x - 2 = 180 \\ 14x = 182 \\ \boxed{x = 13}[/tex]
Angle B = (9x+2) = (9×13+2) = (117+2) = 119°.
When plotting points on the coordinate plane
below, which point would lie on the x-axis?
(6,0)
(0, 2)
(3.8)
(5,5)
Answer:
(6,0)
Step-by-step explanation:
Consider the figure below:
20
16
6
Determine the length of TZ.
Do not include spaces, units, or commas in your response.
Enter answer here. Do not include spaces or units.
Answer:
TZ = 24
Step-by-step explanation:
Similar Triangles
If two triangles are similar, then:
* All the corresponding side lengths are proportional by the same scale factor
* All the internal angles are congruent.
The image provided in the question has two similar triangles TYZ and TWX. We have completed the shape with a variable p =TZ, whose value will be determined by applying the first similarity condition above.
The ratio between the heights is 20:16, and the proportion between the bases is (6+p):p, thus:
[tex]\displaystyle \frac{6+p}{p}=\frac{20}{16}=\frac{5}{4}[/tex]
Cross-multiplying denominators:
4(6 + p) = 5p
24 + 4p = 5p
Solving for p:
p = 24
Then, TZ = 24
What is x>5 graph algebra
Answer:
Step-by-step explanation:
Find the missing angle m
Answer:
m∠BAC=135°
Step-by-step explanation:
360- 84=276
276-141=135
Hope this helps!
Please mark me brainliest if you can. :)
The price of a shirt is $18.50 but you have a coupon that lowers that price by 20% what is the price of that shirt?
Answer:
$3.70
Step-by-step explanation:
What you would do is 18.50×20%. And to make it easier you would do 18.50×0.20 which equals 3.70.
Answer:
The shirt would be $14.80 after using the coupon!
Step-by-step explanation:
I hope this helps a bit, have a good day! =)
A moving truck can carry no more than 1,480 pound of cargo. Brian loaded 640 pounds into the truck already. He is loading boxes that weigh 70 pounds. How many boxes can he put into the truck?
Let x = # of boxes
Answer:
I'm not really sure that my answer is correct, but if you divide 640 by 70 you get 9, so Brian can put 9, 70 pound boxes in the truck.
Step-by-step explanation:
Estimate with percents
Estimate each percent
50% of 39
Answer:
Step-by-step explanation:
50 percent of 39=
39/2=19.50
HELPPPPP!!!
Will give brainliest
For which pair of points can you use this number line to find the distance?
4
2 3
5 6
-2 -1 0 1
7 8
(-4, 1) and (7,4)
(-4, 1) and (-4,7)
(-1, 4) and (4,7)
O (-4, -1) and (-4,-7)
Answer:
[tex](-4, 1) \: and \: (-4,7)[/tex]
Step-by-step explanation:
[tex]the \: shortest \: distance \: between \: two \: points \: can \: be \: used \: here \to \\ were : d = \sqrt{ (x_{2} -x_{1} ) {}^{2} + (y_{2} -y_{1} ) {}^{2} } \\checking \: for \: the \: pair \to \: (-4, 1) \: and \: (-4,7) \\ d = \sqrt{ (( - 4)-( - 4)) {}^{2} + (7 -1 ) {}^{2} } \\ d = \sqrt{ (- 4 + 4) {}^{2} + (6) {}^{2} } \\ d = \sqrt{ (0) {}^{2} + (6) {}^{2} } \\ d = \sqrt{ (6) {}^{2} } \\ \underline{ \boxed{d = 6}}[/tex]
If a leaky faucet drips one ounce of water per minute approximately how many gallons per day is that
Answer:
Step-by-step explanation:
1hr=60mins
24hrs in a day
1hr=60oz
60oz x 24hrs =1440 oz
1440oz = 11.25gal
PLEASE MARK BRAILIEST
What is the probability that a point would be in the blue region? Triangle area=bh/2
Answer:
okay so look
Step-by-step explanation:
you calculate the area of the whole square then the area of the triangle , then you subtract the area of the square with the area of the triangle so you'll get the area of the blue region
Copy the proof on paper, mark the given diagram, fill in the blanks to fill in the proof
Statement Reason
1.
LA ≅ ?? Given
Given
2.
TA ≅ ??? Reflex Prop.
3. ∠LAT≅∠ ??? ???
4. △LAT≅△ ??? ???
Answer:
I don't know all of these, but I do know some.
Step-by-step explanation:
1. LA ≅ SA Given
2. I'm sorry I don't know this
3. ∠LAT≅∠ SAT and Def of angle bisector for the reason.
4. △LAT≅△ TAS and I believe it's SAS for the reason.
Answer:
Answers in explanation
Step-by-step explanation:
LA ≅ SA | Given
TA ≅ TA | Reflexive Property
∠LAT ≅ ∠SAT | Definition of angle bisector
△LAT ≅ △SAT | SAS
Help plz:)))I’ll mark u Brainliest
Answer:
Scale factor = 1.5
Step-by-step explanation:
Formula for the scale factor,
Scale factor = [tex]\frac{\text{Measure of one side of the Image}}{\text{Measure of one side of the preimage}}[/tex]
In this question, image is triangle Y and preimage is triangle X.
Scale factor of X to Y = [tex]\frac{15}{10}[/tex]
= 1.5
Therefore, scale factor = 1.5 is the answer.
integers between -9 and -2
Answer:
Step-by-step explanation:
the integers are -8,-7,-6,-5,-4,-3,
What is the slope of a line that is perpendicular to the line shown on the graph?
Find the value of X.
All 3 sides of the triangle are the same, which means all 3 inside angles are the same. Each inside angle is 60 degrees.
We now have 3x = 60
Divide both sides by 3:
x = 60/3
x = 20
Answer:
As in the given figure, all the sides are equal i.e., 5 units
It is a equilateral triangle.
In equilateral triangle all the angles are 60°.
[tex]3x = 60 \\ x = \frac{60}{3} \\ \boxed{x = 20}[/tex]
20 is the right answer.5 less than a number is -2. What is the
number? Write on
equation and solve.
Answer:
3 - 5 = -2
Step-by-step explanation:
Cause 3 is lower than 5
And since 5 - 3 = 2
If it's the other way around it's a negative number
Answer:
3
Step-by-step explanation:
Start from 0 and do 3 minus 5 which gets you -2
help pls due today thanks
Answer:
4
Step-by-step explanation:
11.2/2.75=4.07272(repeating number)
Answer:
11 1/5 divided by 2 3/4:
11 1/5 is a bit less than 12, and 2 3/4 is a bit less than 3
The answer, therefore, should be fairly close to 12 ÷ 3
12 ÷ 3 is 4
Answer is 4
Step-by-step explanation:
here ya go bub! (pls mark me brainlest)
A pitched roof is built with a 2:5 ratio of rise to span. If the rise of the roof is 12 meters, what is the span?
4.8 meters.
30 meters.
15 meters.
9 meters.
Help please!
Answer:
30!
Step-by-step explanation:
I took the Quiz!
BRAINLIEST
please help and leave a small explanation:)
Answer:
Choose option D. Angle 3 and Angle 6
Step-by-step explanation:
Angle 3 = Angle 6 ( being alternate angels)
Hope it will help :)
Answer:
congruent means that they are the same angle so that being said, you can clearly tell that A, B, and C are not the same angles at all. and D is the only correct answer.
Step-by-step explanation:
I really hope this helps!
HELP IOLL MARK U BRAINLIEST I SWEAR
Answer:
You aren't posting pictures
Step-by-step explanation:
Please help and thank you
Answer:
in lowest term it's
Step-by-step explanation:
10/33
Answer:
10 : 33
Step-by-step explanation:
Both 20 and 66 are multiples of 2.
20 = 2 x 10
66 = 2 x 33
So, this ratio becomes 2 x 10: 2 x 33
Dividing both sides by 2 gives us 10:33, which can't be simplified further.
Plz help me I am timed plz don’t guess
DeArah made 88, 90, and 92 on her math tests this grading
period. What is the mean of her math test scores?
OA) 89
OB) 90
OC) 91
OD) 92
Answer:
B. 90
Step-by-step explanation:
Add them all, divide by 3.
88 + 90 + 92 = ?
270 = 270
270/3 = 90
Answer: 90
Step-by-step explanation:
You just add up all the numbers then divide by how many numbers there are.
( 88 + 90 + 92 = 270 ) There are 3 numbers so take 270 / 3 = 90.
here’s the other one
Answer:
it is A
Step-by-step explanation:
Which expression is equivalent to 20+64
a.4+(16+60)
b.4+(5+16)
c.4+(16+60)
d.4(5+16)
Answer:
D. 4 (5 + 16)
Step-by-step explanation:
20 + 64 = 84
To solve this problem we have to simplify each of the expressions in the answer column:
A. = 80
(16 + 60 = 76) giving us
4 + 76 = 80
B. = 25
(5 + 16 = 21)
4 + 21 = 25
C. = 80
(16 + 60 = 76)
4 + 76 = 80
D. = 84
(5 + 16 = 21)
4 x 21 = 84
So The correct option is D. 4 (5 + 16)
