[tex]{\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}[/tex]
(i)
[tex] \sf{a_n = 20 \times {( \frac{2}{3} )}^{n - 1} }[/tex]
(ii)
[tex] \sf S_n = 60 \{1 - { \frac{2}{3}}^{n} \} [/tex]
Step-by-step explanation:
[tex]\underline\red{\textsf{Given :-}}[/tex]
height of ball (a) = 10m
fraction of height decreases by each bounce (r) = 2/3
[tex] \underline\pink{\textsf{Solution :-}}[/tex]
(i) We will use here geometric progression formula to find height an times
[tex]{\blue{\sf{a_n = a {r}^{n - 1} }}} \\ \sf{a_n = 20 \times { \frac{2}{3} }^{n - 1} }[/tex]
(ii) here we will use the sum formula of geometric progression for finding the total nth impact
[tex] \orange {\sf{S_n = a \times \frac{(1 - {r}^{n} )}{1 - r} }} \\ \sf S_n = 20 \times \frac{1 - ( { \frac{2}{3} })^{n} }{1 - \frac{2}{3} } \\ \sf S_n = 20 \times \frac{1 - {( \frac{2}{3}) }^{n} }{ \frac{1}{3} } \\ \sf S_n = 3 \times 20 \times \{1 - ( { \frac{2}{3}) }^{n} \} \\ \purple{\sf S_n = 60 \{1 - { \frac{2}{3} }^{n} \}}[/tex]
Pls help asap I’ll give brainliest
Also pls show works Plsss
Answer:
m = 125h If he painted 8 houses he would get $1000
Step-by-step explanation: you multiply the number of houses by the money earned for each house
8 × 125 = 1000
A part of a line that includes two points called endpoints and all the points between them.
not is segment!
Answer:
A part of a line that includes two points called endpoints and all the points between them. - 27718656y-step explanation:
This probability distribution shows the
typical grade distribution for a Geometry
course with 35 students.
Grade
A B
C D F
Frequency 5
10
15
3
2
Find the probability that a student earns a
grade of B or C.
p = [?]
Answer:
Step-by-step explanation:
5+10+15+3+2 = 35
25/35
25/35 =0.714285714
so 71.4% ---> 71%
Or in decimal form 0.71
This question has no solution, but if you go through the solving steps, there is an extraneous solution. What is the extraneous solution?
An extraneous solution is the root of a transformed equation that isn't the root of the original equation.
What is an extraneous solution?Your information is incomplete. Therefore, an overview will be given. It should be noted that an extraneous solution simply means a solution that is gotten from the solving of a problem but isn't a valid solution to the problem.
In order to find whether a solution is extraneous, you'll bed to plug it back into the equation and see if it works.
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Recall that in a 30 – 60 – 90 triangle, if the shortest leg measures x units, then the longer leg measures xStartRoot 3 EndRoot units and the hypotenuse measures 2x units.
(150StartRoot 3 EndRoot – 75π) ft2
(300 – 75π) ft2
(150StartRoot 3 EndRoot – 25π) ft2
(300 – 25π) ft2
Answer:
150√3- 75π) ft². if you see it
Step-by-step explanation:
Answer:
I guess it's option 1 or A
Plxxx help me i'm giving brainlyest
Answer:
Words for dividing:
sharedeachfor everyperThe problem is asking you to divide, because the key word is, "fill empty egg cartons that each hold"
So Mary will fill each carton with 12 eggs each until she runs out.
[tex]216 / 12[/tex]
12 goes into 216 eighteen times exactly.
[tex]12 * 18 = 216[/tex]
and the result is(R means leftovers, which are none here)...
[tex]18~R~0[/tex]
Answer:
18 is the correct answer
If f(x) = 3x ^3– 4x^2– 8 and g(x) = -7x^3– 8x^2+ 8, what is
-
f(x) - g(x)?
-
a.
10x^3 – 12x^2
b. 10x^3– 12x^2– 16
C. 10x^3+ 4x^2
d. 10x^3 + 4x^2 – 16
Need help asap
Answer:
d) 10x^3 + 4x^2 - 16
Step-by-step explanation:
f(x)-g(x) = (3+7)x^3 + (-4+8)x^2 + (-8-8)
Amy can clean the interior of her car in 3 hours. If Amy and her husband work together,
they can clean the interior in an hour less time than it took Amy alone. How long will it
take Amy's husband if he cleans the interior of Amy's car alone?
*Enter only your numerical value (you do not need the units *hours)
Answer:
1 hour
Because 3 - 2 = 1.
Therefore, 1 hour only.
ggggggggggggggggggggggggggg
Answer:
Step-by-step explanation:
substitute each value of x and y one by one and see which one is correct.
what is 20 percent of 950
Answer:
190
Step-by-step explanation:
20 % of 950
= 20 % x 950
= ( 20 / 100 ) x 950
= ( 1 / 5 ) x 950
= 950 / 5
= 190
Am I correct? I just really need to check and have someone explain why or why not
Answer:
yes
Step-by-step explanation:
you are correct well those are the corect ansewrs so
Answer: yes
Step-by-step explanation:
Parallelogram p q s r is shown. the length of p q is (2 x 5) centimeters and the length of r s is (4 x 1) centimeters. in parallelogram pqsr, what is pq? 2 cm 5 cm 6 cm 9 cm
The length PQ of the given parallelogram PSQR is determined as 9 cm.
What is the relationship between opposite sides of parallelogram?Opposite sides of a parallelogram are parallel (congruent).
PQ = RS
2x+5 = 4x+1
2x-4x = 1-5
-2x = -4
x = -4/-2
x = 2
Calculate the length PQPQ = 2x+5
PQ = 2(2)+5
PQ = 4+5
PQ = 9cm
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Answer: D. 9 cm
Step-by-step explanation: Trust Me!
The answer is correct on Edge. Thank you. :)
You have been advised in a positive manner.
a student flips a coin four times. what is the probability the coin lands tails up exactly one time?
the probability is _____?
Answer:25% because it should do it twice well there is a 50 % chance it should
Step-by-step explanation:
et
h.
13. Think About the Structure Each shelf
holds 24 books. There are 8 shelves.
Which equation could you solve to find
how many books there are in all?
A 24 + 8 = b
w
sts?
B 24 - 8 = b
C24 x 8 = b
D 24 = 8 = b
I need help asap, what is the value of x and the measure of arc CDE?Find the following values for circle P
The value of the x is 3 and the measure of the arc is 154 degree if the angle APE is 90 degree.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have a circle shown in the picture.
The angle APE = 90 degree (from the figure)
25x + 15 = 90
25x = 75
x = 3
The measure of arc CDE = (20x + 4) + (33x - 9) = 53x -5
= 53(3) -5
= 154 degree
Thus, the value of the x is 3 and the measure of the arc is 154 degree if the angle APE is 90 degree.
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Plsss help this big idea math
Sarah is constructing a cardboard box that is 3 feet wide, 5 feet long, and 2 feet tall.
what is the volume
and
what is the unit
Answer:
30 cubic feet
Step-by-step explanation:
[tex]3 \times 5 \times 2 = 30[/tex]
Find the Nth term of this number sequnce
2,4,6,8
[tex]\text{It is an arithmetic series.}\\\\\text{First term,}~ a = 2\\\\\text{Common difference,}~ d=4 -2 = 2\\\\\text{Nth term} = a + (n -1) d\\\\~~~~~~~~~~~~~=2+(n-1)2\\\\~~~~~~~~~~~~~=2+2n-2\\\\~~~~~~~~~~~~~=2n[/tex]
In calc, a mathematical equation is called a ____________. a. calculation b. symbol c. formula d. cell name
Answer:
formula? sorry if im wrong
Step-by-step explanation:
Abdul buys an emerald pendant priced at $828. Shipping and handling are an additional
14% of the price. How much shipping and handling will Abdul pay?
Submit
Answer:
$115.92
Step-by-step explanation:
828 x 14% = 115.92
A population of insects increases at a rate of 1. 5% per day. About how long will it take the population to double? 2. 5 days 5. 0 days 46. 6 days 66. 7 days.
23.
It would take 48 days for 5 men to build a house.
(a) How much longer would it take if only 4 men built the house?
The number of days required to build a house by 4 men which is made by 5 men is 48 days is 60 days.
What is the relation between work and time?The total time taken is inversely proportional to the rate of work. If a unit of work is done in total n number of days, then the total work done in a day can is,
W=(1/n)
It would take 48 days for 5 men to build a house. Thus, the work done by one man in one day is,
W=1/(48*5)
W=1/240
Thus, one man take 240 days to build a house. The time it takes when only 4 men works to build the house,
t=240/4
t=60
Hence, the number of days required to build a house by 4 men which is made by 5 men is 48 days is 60 days.
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can you simplify 37/80
Answer:
Step-by-step explanation:
37 is prime, so it's not possible to reduce/simplify 37/80. 37/80 is the ratio of two integers. We could, of course, use a calculator to find the decimal equivalent: 0.4625, but this is not more accurate than the ratio 37/80.
The net of an isosceles triangular prism is shown. What is the surface area, in square units, of the triangular prism?
104 units2
132 units2
152 units2
168 units2
Answer: Last option is correct.
Since we have given that
Dimension of central rectangle is 6 units by 7 units
So, Area of central rectangle is given by
Dimensions of upper and lower rectangle are as follows:
Length = 5 units
Breadth = 7 units
Area of upper and lower rectangle is given by
Similarly, dimensions of two triangles are as follows:
Height = 4 units
Base = 6 units
So, Area of two triangles is given by
Hence, Total surface area of the net of an isosceles prism is given by
Therefore, Last option is correct.
Answer:
152 units²
Step-by-step explanation:
Surface Area :
Area (2 triangles) + Area (2 rectangles) + Area (middle rectangle)2 x 1/2 x 6 x 4 + 2 x 8 x 5 + 8 x 624 + 80 + 4880 + 72152 units²1.508 * 23.4 where do i put my decimal point for the answer
Answer:
35.2872
Step-by-step explanation:
To know where you would place the decimal point, count all the numbers behind the period or dot. If we count for BOTH numbers, we get 4 numbers behind the decimal place. This means for our answer we will have 4 numbers behind the dot.
Name two pairs of vertical angles.
Answer:
First pair : ∠PQT and ∠SQRSecond pair : ∠PQR and ∠SQTStep-by-step explanation:
» the lines PS and RT intersect each other at Q
also, ∠PQT and ∠SQR are opposite angles
Then
the angles ∠PQT and ∠SQR are vertical angles.
………………………………………………………………………
» the lines PS and RT intersect each other at Q
also, ∠PQR and ∠SQT are opposite angles
Then
the angles ∠PQR and ∠SQT are vertical angles.
Find the measure of ∠.
Answer:
-13x+40
Step-by-step explanation:
Simplify 7x-5(4x-8)
Expand:7x -20x+40
-13x+40
Gavin is selling water bottles at a baseball game to help raise money for new uniforms. before the game, he buys 75 water bottles for a total of $25. at the game, he sells all of the bottles for $1.20 each. how much profit does gavin make?
The amount of profit Gavin made in selling the water bottles at the base ball game is $65.
How to find profit?
He bought 75 bottle water for a total of $25.
He sales all of the bottles for $1.20 each.
Therefore,
profit = selling price - cost price
Hence,
cost price = $25
selling price = 1.20(75) = $90
Finally,
profit = 90 - 25 = $65
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cm².
The area of a rectangular window is 8019 cm².
If the length of the window is 99 cm, what is its width?
Width of the window: __cm
Answer:
81cm²
Step-by-step explanation:
8019/99 = 81
To Check if the answer is correct:
81x99 = 8019
(Remember Area is the space inside where you have to multiply/x .)
PLEASEE HELPPP !!!!!!!
Answer:
It is correct
Step-by-step explanation:
