how high does the ball roll on its 3rd time up the cylinder's side
( d is 1/8 )

How High Does The Ball Roll On Its 3rd Time Up The Cylinder's Side( D Is 1/8 )

Answers

Answer 1

Step-by-step explanation:

aₙ = 2 (¼)ⁿ⁻¹

a₃ = 2 (¼)³⁻¹

a₃ = 2 (¼)²

a₃ = ⅛

Answer 2

Answer:

1/8 inches

Step-by-step explanation:

Using the given function

d(n) = 2(1/4)^(n-1)

the initial value is 2, which is the height of the ball after the first roll.

For the third roll, n = 3

d(n) = 2 (1/4)^(3-1)

d(n) = 2 (1/4)^2

d(n) = 2/16

d(n) = 1/8


Related Questions

To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that

Answers

the two triangles are congruent it two sides and the included angle of one triangle are respectively equal to two sides and angle of the other triangle

2/3 x (-6/7 + 4/5) = (2/3 x 4/5) x (-6/7) : verify

Answers

Answer:

No they can't be equal

Step-by-step explanation:

L.H.S. :-

2/3 × ( -6/7 + 4/5 )

=> 2/3 × -2/35

=> -4/105

R.H.S

(2/3 × 4/5) × -6/7

=> 8/15 × -6/7

=> -48/105

L.H.S IS NOT EQUAL TO R.H.S.

Determine the equation of a sine function that would have a range of {y|6<=y<=9} and a period of 60 degrees

Answers

Answer:

6 ^ 5743yy^€_*$%_$/_/^€^=÷/_#×

ACEG is a paralellogram. BKD, HJF and CKJG are straight lines. Find the values of x and y​

Answers

Answer:

[tex]\boxed{\mathrm{x=53\° \: \: \: y=33\°}}[/tex]

Step-by-step explanation:

Apply these rules to solve:

• Angles on a straight line add up to 180 degrees.

• Angles in a triangle add up to 180 degrees.

• Opposite angles in a parallelogram are equal.

• Angles in a quadrilateral add up to 360 degrees.

geometric sequence 1 on mymaths​

Answers

Answer:

start with 97 and multiply each term by 0.5

3.03 cells

Step-by-step explanation:

1. The colony begins with 97 cells. The cells split into two which is the same as multiplying by 0.5.

2. Multiply 97 by 0.5 5 times for 5 minutes.

97 · 0.5 · 0.5 · 0.5 · 0.5 · 0.5 = 3.03

What is 4/5 ( 4 over 5) times 3?

Answers

Maybe the answer would be 12/5
Yes, 4/5 x 3 would be 12/5.

4/5 x 3.

convert the expression;
4/5 x 3/1

You will be multiplying these separately. (The numerators and denominators);

4x3=12

5x1=5

Which you should get
= 12/5.

Find m
A. 82
B. 32
C. 98
D. 107

Answers

Answer: A. 82

Step-by-step explanation:

The measure of <BAD can be found by simply adding 25(<BAC)+57(<CAD) = 82.

[tex]\mathrm{BAD}=\mathrm{BAC}+\mathrm{CAD}=25^{\circ}+57^{\circ}=82^{\circ}[/tex].

Hope this helps.

You've decided you want a plant for your room. At the gardening store, there are 444 different kinds of plants (tulip, fern, cactus, and ficus) and 444 different kinds of pots to hold the plants (clay pot, plastic pot, metal pot, and wood pot). If you randomly pick the plant and the pot, what is the probability that you'll end up with a tulip in a plastic pot?

Answers

Answer:

1/197136

Step-by-step explanation:

If there would be one pot and one plant the possibility would be 1 to take it.

It there were 2 plants and 1 pot it would be 1/2*1 = 1/2

If there were 2 plants and 2 pots it would be 1/2*2 = 1/4

With 444 plants and 444 pots it is 1/444*444 = 1/197136

There are 4×4 = 16 different combinations of plant and pot. Of those, 7 are either clay pot or cactus. Thus the probability you won't get a clay pot or a cactuis is 9/16.

The pie chart shows the sports played by 30 boys. How many boys play Rugby?

Answers

Answer:

10

Step-by-step explanation:

30 boys

1/2 play football

30/2 = 15

15 boys left

2/3 play rugby

15 x 2/3 = 10

What is 37 ÷ 100 × 9 =​

Answers

Answer: 3.33

Step-by-step explanation:

Multiplication and division should be solved left to right.

[tex]37/100*9\\\\Divide(100)\\\\0.37*9\\\\Multiply(9)\\\\3.33[/tex]

Hope it helps <3

Answer:

=37/100×9=.

=divide 37 by 100

=0.37 ×9

=3.33

In a competition, a school awarded medals in different categiories.40 medals in sport 25 medals in danceand 212 medals in music, if the total of 55 students got medals and only 6 students got medals in the three categories ,how many students get medals in exactly two of these categories?

Answers

Answer:

210

Note: this answer might be incorrect because of the value of music (212). This doesn't make logical sense.

Step-by-step explanation:

Hello,

This question can easily be solved through the use of a venn diagram.

Total number of students = 55

Number of medals in sport = 40 = A

Number of medals in dance = 25 = B

Number of medals in music = 212 = C

Number of students that got award in the three categories = (AnBnC) = 6

n(AuBuC) = 55

n(AnB) + n(BnC) + n(AnC) - 3n(AnBnC) =

n(AnB) + n(AnB) + n(AnC) -3×6 ......equation (i)

n(AuBuC) = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)

Therefore,

n(AnB) + n(BnC) + n(AnC) = n(A) + n(B) + n(C) + n(AnBnC) - n(AuBuC)

n(A) + n(B) + n(C) + n(AnBnC) - n(AuBuC) - 18

40 + 25 + 212 + 6 - 55 - 18 = 210

Note: this answer might be incorrect because of the value of C (music)

Please answer this in two minutes

Answers

Answer:

  60°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between sides of a right triangle and angles.

  Tan = Opposite/Adjacent

  tan(T) = SU/ST

  tan(T) = (5√51)/(5√17) = √3

Now, the arctangent function is used to find the angle whose tangent is √3.

 T = arctan(√3) = 60°

if R is inversely proportional to S and r=15 when S =12 what is the value of S when R =60​

Answers

Answer:

s = 3

Step-by-step explanation:

The variation above is written as

[tex]R = \frac{k}{S} [/tex]

Where k is the constant of variation

when R = 15

S = 12

k = R × S

k = 15 × 12

k = 180

So the formula for the variation is

[tex]R = \frac{180}{S} [/tex]

When R = 60

We have

[tex]60 = \frac{180}{S} [/tex]

Cross multiply

That's

60S = 180

Divide both sides by 60

S = 3

Hope this helps you

Randomization in an experiment means that the experimental units or
subjects are selected as a simple random sample from the whole population
under study.

Answers

Answer:

Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of samples is important in an experiment, that is, to carry it out in a random way.

Step-by-step explanation:

For example;

If a crop at a certain time of year, for example in summer, is affected by a certain fungus, to know if it is really the time of year that affects this problem, random samples of the same crop with the same characteristics and put it to the test at another time of the year to see if the weather is really a risk factor in the spread of this fungus.

Which system of inequalities has this graph as it’s solution

Answers

Answer:

Option (B)

Step-by-step explanation:

In the graph attached,

Two lines graphed have the equations as,

y = 2x - 3 [A line having y-intercept as (-3)]

[tex]y=\frac{1}{3}x+4[/tex] [Line having y-intercept as (4)]

Since both the lines have been represented by the dotted lines therefore, these lines will represent the inequalities [having the signs less than (<) or greater than (>)].

Now shaded region will decide the signs of the inequalities.

Since, shaded region of y = 2x - 3 is on the left side, inequality showing this region will be,

y > 2x - 3

Since, shaded region of [tex]y=\frac{1}{3}x+4[/tex] is above the line, inequality showing this region will be,

[tex]y>\frac{1}{3}x+4[/tex]

Therefore, Option (B) will be the answer.

Answer:

B

Step-by-step explanation:

Just is cuh


Marta is solving the equation x2+x=3 by completing the square what number should be added to both sides of the equation to complete the square?

Answers

Answer:

C = 1/4

Step-by-step explanation:

When solving a quadratic equation, there are steps to follow and I'll highlight them here.

Assuming we have an equation

ax² + bx + c = 0

Step 1

If a is not equal to 1, divide all through by a

x² + bx + c = 0

Take c to the other side of the equation

x² + bx = c

Step 2

Add (b/2)² to both sides of the equation

x² + bx + (b/2)² = c + (b/2)²

In our original question,

We had x² + x = 3

a = 1 , b = 1 c = 3

Using step two, we would have

(b / 2)² = (½)² = ¼ (which is the answer)

Now back to the steps

Step 3

We factor our left side of the equation so as to have a perfect square

[x + (b/2)]² = c + (b/2)²

Step 4

Take the square root of both sides of the equation and solve for x

x + b/2 = ±√[c + (b/2)²]

The answer to the question is ¼

Answer:

1/4

Step-by-step explanation:

Cheryl is planning to go to a four-year college in two years. She develops a monthly savings plan using the estimates shown. What should her monthly savings be? (rounded to the nearest cent)

Answers

Answer:

$541.67 per month

Step-by-step explanation:

Tuition and other expenses = $8,250 per semester.

There are two semesters in a year

She has 4 years to spend

Total semester=4years*2semesters

=8 semesters

4 years in college which is a total of 8 semesters.

Total Tuition and other expenses = $8,250 * 8

= $66,000

She needs a total of $66,00 to complete her college

Assistance from parents=$15,000

Financial aid(per semester)=$4750

Total financial aid=$38,000

Total assistance=

Assistance from parents+ financial aid

=$15000+$38,000

=$53,000

Total savings=Total amount needed - Total assistance

=$66,000 - $53,000

=$13,000

She needs to save $13,000 in two years

There are 12 months in one year

2 years=2*12=24 months

Monthly savings=Total savings/24 months

=$13,000/24

=$541.666666

To the nearest cent

=$541.67

Answer: $541.67

Step-by-step explanation: Got it right on TTM.

PLEASE HELP!!!

A calculator was used to perform a linear regression on the values in the table. The results are shown to the right of the table.

Image attached

Answers

Answer: C

explanation:  a p e x

Answer: Choice D.  y = -2.9x + 13.5

Explanation:

Start with the template they give, which is y = ax+b. From here, replace 'a' with -2.9 and b with 13.5 to get the answer y = -2.9x + 13.5

The r and r^2 values aren't used to form the regression line. Instead, they are ways to see how good a fit we have. Since r is fairly close to -1, this means we have a really strong negative correlation. All of the points are close or around the same straight line with a negative slope (that slope being -2.9).

The sketch shows a triangle and its
exterior angles. Find the measure of
angle IAC.
Show all your calculations. Justify your
answer.
MDHA = 128"
MZHCA = 46°

Answers

Answer:

∠ IAC = 98°

Step-by-step explanation:

The sum of the exterior angle = 360°

∠ HCB = 180° - 46° = 134° ( adjacent angles )

Thus

∠ IAC + 128° + 134° = 360°, that is

∠ IAC + 262° = 360° ( subtract 262° from both sides )

∠ IAC = 98°

Answer:

<IAC=°98

Step-by-step explanation:

<DHA + CHA = 180 SUPPLEMENTARY ANGLE

128 +CHA=180

<CHA=52

<CHA + <HAC+<ACH=180 b/c it is triangle

46 +52+HAC= 180

<HAC= 180-98

<HAC= 82

<HAC + <IAC= 180. Supplementary angle

82+<IAC=180

<IAC=180-82

<IAC=98

The triangles are congruent by the SSS congruence theorem. Triangles F G H and V W X are shown. Triangle F G H is rotated about point G and then is shifted to the right to form triangle V W X. Which rigid transformation(s) can map TriangleFGH onto TriangleVWX? reflection, then rotation reflection, then translation rotation, then translation rotation, then dilation

Answers

Answer:

C. rotation, then translation

Step-by-step explanation:

edge 2021

I think it's C "rotation, then translation"

not 100% sure so check other answers too

What is the solution of the inequality shown a-1>11

Answers

Answer:

a > 12

Solutions can be anything over 12

Step-by-step explanation:

Well this one is pretty simple we just add 1 to both sides so the inequality turns into,

a > 12

Answer:

[tex]a>12[/tex]

Step-by-step explanation:

[tex]a-1>11[/tex]

Add [tex]1[/tex] on both sides.

The [tex]a[/tex] variable must be isolated on one side.

[tex]a-1+1>11+1[/tex]

[tex]a>12[/tex]

Find the area of a 2-inch-wide decorative border around a rectangular canvas painting, where L is the length and W is the width of the canvas painting. (Formula for area of a rectangle: A equals L times W)

Answers

Answer:

  4L +4W +16 square inches

Step-by-step explanation:

The area of the border is the equivalent of that of a rectangle with a width equal to the width of the border, and a length equal to the length of the midline of the border. That length is the perimeter of the rectangle that is L+2 units long and W+2 units wide.

  border midline length = 2((L+2) +(W+2)) = 2L +2W +8

Then the border area is ...

  border area = (border width)(border length) = (2)(2L +2W +8)

  border area = 4L +4W +16 . . . square inches

_____

You can also figure this as the difference between the area of the rectangle with the border and the area of the rectangle inside the border:

  border area = total area - canvas area

  = (L+4)(W+4) -LW = LW +4L +4W +16 -LW

  = 4L +4W +16 . . . . square inches

Circle Y is shown. Chords R T and S U intersect at point Z. Arc S R is 100 degrees and arc T U is 72 degrees. In circle Y, what is m∠SZT?

Answers

Answer:

m∠SZT = 86°

Step-by-step explanation:

First we draw the diagram from the given information. Find attached the diagram.

when two chords intersect inside a circle, the measure of the angle formed is 1/2(the sum of the measure of the arcs intercepted each other).

From the above,

m∠SZT = 1/2 (Arc SR + arc TU)

Arc SR =100 degrees

Arc TU =72 degrees

m∠SZT = 1/2 (100° + 72°)

m∠SZT = 1/2 (172°)

m∠SZT = 86°

These are circles that include lines and angles. The measure of angle m∠SZT from the given diagram is 86°

Coordinate geometry

These are circles that include lines and angles. Using the theorem, the measure of the vertex is half that of its intercepted arc.

Based on the theorem;

m∠SZT = 1/2 (arcSR + arcTU)

Given

Arc SR =100 degrees

Arc TU =72 degrees

Substitute

m∠SZT = 1/2 (100° + 72°)

m∠SZT = 1/2 (172°)

m∠SZT = 86°

The measure of angle m∠SZT from the given diagram is 86°

Learn more on coordinate geometry here: https://brainly.com/question/18269861

#SPJ2

A cylinder has a volume of 1200 meters cubed. What is the volume of a cone with the same radius and height? A. 400 m3 B. 900 m3 C. 1600 m3 D. 3600 m3

Answers

Hey there!

The volume of a cone is always 1/3 of that of a cylinder with the same except dimensions. You multiply the base by the height and then divide by three!

This means that if the cylinder has a volume of 1200 meters cubed, you simply divide by three, giving you 400 meters cubed !

The answer is A. 400 m³.

Have a wonderful day! :D

Answer:900

Step-by-step explanation:A cylinder has more volume considering because of the space but a cone simply has less

The functions f(x) and g(x) are shown on the graph.
f(x) = x2
What is g(x)?
A. g(x) = -x2 + 2
B. g(x) = -X2 - 2
C. g(x) = (-x)2 - 2
D. g(x) = (-x)2 + 2

Answers

B. [tex]-x^2-2[/tex].

Hope this helps.

Answer:

i think its g(x)=-x^2-2

Step-by-step explanation:

Which is the correct algebraic expression after combining like terms? 6 + 8 x minus 7 minus x 7 x minus 1 7 x + 13 9 x minus 1 9 x + 13

Answers

Answer:

7x-1

Step-by-step explanation:

i did the test

Answer:

7x-1

Step-by-step explanation:

correct answer on edge

Write 0.00000414 in scientific notation.

Answers

Answer:

[tex]4.14*10^{-6}[/tex]

Step-by-step explanation:

Well scientific notation is (something*10^(other thing))

so we count have many zeroes there are, and there are 6, so we move the decimal point 6 times and get

[tex]4.14*10^{-6}[/tex]

Answer: It would take 6 "jumps" the left of 4.14 x 10^-6 to move the decimal back to where it actually is when not in scientific notation.   0.00000414

Step-by-step explanation:

hope this helps you :)

Find the measure of arc JKM if angle KLM = 50 degrees.

Answers

Answer:

180°

Step-by-step explanation:

Answer:

180 =  arc JKM

Step-by-step explanation:

Angle JM is a straight line so the angle is 180

Central Angle = Intercepted Arc

angle JM = arc JKM

180 =  arc JKM

If f (x) = StartRoot x minus 3 EndRoot, which inequality can be used to find the domain of f(x)?

Answers

Answer:

[tex]x\geq 3[/tex] is the inequality to find the Domain of f(x)

Step-by-step explanation:

When we have a function where the variable "x" is inside a square root, we find its Domain by looking for all those values x for which the function is defined for the root, which means all the x-values that make the expression inside the root larger than or equal to zero, avoiding the values smaller for which the square root is not defined.

Therefore, in this case , for

[tex]f(x)=\sqrt{x-3}[/tex]

we ask for the x-values that verify:

[tex]x-3\geq 0\\x\geq 3[/tex]

where we have isolated x on one side of the equal sign.

This would be the definition of the Domain of the function.

Answer:

The answer is C

Step-by-step explanation:

The roots of x^2 + 5x + 3 = 0 are p and q, and the roots of x^2 + bx + c = 0are p^2 and q^2. Find b + c.

Answers

Answer:

[tex]\large \boxed{\sf \ \ \ b=-19, \ \ c=9, \ \ \ b+c=-10 }[/tex]

Step-by-step explanation:

Hello,

we can write

[tex]x^2+5x+3=(x-p)(x-q)=x^2-(p+q)x+pq[/tex]

it means that p+q = -5 and pq=3

And then we are looking for b and c so that

[tex]x^2+bx+c=(x-p^2)(x-q^2)=x^2-(p^2+q^2)x+p^2q^2[/tex]

So

[tex]b=-(p^2+q^2)=-[(p+q)^2-2pq]=-[(-5)^2-2*3]=-(25-6)=-19\\\\c=p^2q^2=3^2=9[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

b + c = -10

Step-by-step explanation:

Notice that according to he quadratic formula, the solutions to a quadratic equation of the form:

[tex]x^2+bx+c=0[/tex]

are:

[tex]x=\frac{-b+/-\sqrt{b^2-4\,c} }{2}[/tex]

and such solutions verify the following conditions:

a) the product of the solutions is:

[tex](\frac{-b+\sqrt{b^2-4c} }{2} )\,(\frac{-b-\sqrt{b^2-4c} }{2} )=\frac{b^2-(b^2-4c)}{4} =\frac{4\,c}{4} =c[/tex]

b) the addition of the solutions is:

[tex](\frac{-b+\sqrt{b^2-4c} }{2} )+(\frac{-b-\sqrt{b^2-4c} }{2} )=\frac{-b-b}{2} =\frac{-2\,b}{2} =-b[/tex]

Therefore, applying these to the first equation, we get that the solutions p and q must verify:

[tex]p\,*\,q=3\,\,\,\,and\,\,\,\,p\,+\,q=-\,5[/tex]

On the other hand, we know that the solutions of the equation

[tex]x^2+bx+c=0[/tex]

are    [tex]p^2\,\,\, and \,\,\,q^2[/tex]

Then considering what we found in step a), the product of these two solutions should equal the constant term"c":

[tex]p^2\,*\,q^2= c\\(p\,*\,q)\,(p\,*\,q)=c\\3\,*\,3 = c\\9=c[/tex]

so we know the value of "c" in the second quadratic expression: c = 9

Now, according to what we found in step b), the addition of the two solutions for the second quadratic expression should equal the opposite of the coefficient in the linear term. That is:

[tex]p^2+q^2=-b[/tex]

So, we need to find what the addition of these two squares is in order to find "b". We consider then what the expression [tex](p+q)^2[/tex] renders, since we know that [tex](p+q)=-5[/tex]:

[tex](p+q)^2=p^2+2\,p\,q+q^2\\(-5)^2=p^2+q^2+2\,(p\,*\,q)\\25=p^2+q^2+2\,(3)\\p^2+q^2=25-6\\p^2+q^2=19[/tex]

This means that

[tex]-b=19\\\\b=-19[/tex]

Now, knowing b and c, we can find what b+c is:

[tex]b+c=-19+9=-10[/tex]

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PLEASE HELPP!!!Find C to two decimal places and find the measure of angle B. The state of CT claims that the average time on death row is 15 years. A random survey of 75 death row inmates revealed that the average length of time on death row is 17.8 years with a standard deviation of 5.9 years. Conduct a hypothesis to test the state of CT's claim. What type of test should be run? t-test of a mean z-test of a proportion The alternative hypothesis indicates a right-tailed test left-tailed test two-tailed test Calculate the p-value. What is the decision? We reject the claim that the average time on death row is 15 years We fail to reject the claim that the average time on death row is 15 years A group of 10 people have the following annual incomes:_______. $24,000, $18,000, $50,000, $100,000, $12,000, $36,000, $80,000, $10,000, $24,000, $16,000. Calculate the share of total income that each quintile receives from this income distribution. 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You'vealready read about most of these leaders in the lessons in this unit. However, it's okay if you need to research themfurther to clarify their achievements. Here is the list of leaders you will use to complete this activity: Ronald ReaganDwight D. EisenhowerMargaret Thatcher Nikita Khrushchev Harry S. Truman Josef Stalin Mikhail GorbachevBI u X XFont SizesA- A-E E 3LeaderDescriptionI challenged the Soviet Union to tear down the Berlin Wall. I also maintained a hard line against CommunismI made the decision to drop the atomic bomb, but I also became known for the Marshall Plan and Doctrine of Containment.I began the Cold War in Europe by creating the Communist Bloc. I also stole atomic secrets for the United States and built my own bomb, thusescalating tension in the early Cold War.My administration created the idea of brinkmanship-going to the brink of nuclear war to achieve our aimsMy policies were designed to give more personal and economic freedom to people in the Soviet Union. I had good relations with many leaders in theWestern BlocI was good friends with the leaders of the Soviet Union and the United States and helped end the Cold War by bringing them together,pulled missiles out of Cuba during the Cuban Missile Crisis, and prevented the Cold War from escalating into a nuclear war. Please answer this in two minutes Anyone want to help me out? In a fluorescent tube of diameter 3 cm, 3 1018 electrons and 0.75 1018 positive ions (with a charge of e) flow through a cross-sectional area each second. What is the current in the tube how could you correctly rewrite the equation 4(5+3)=2(22-6) using the distributive property? Beltram is currently 61 and has been a heavy drinker his entire life. Lately he has started to have serious memory problems. For example, his wife Rita can have a conversation with him and then 5 minutes later he doesn't even remember speaking to her. He also has gaps in his memory about the past. Beltram's memory loss is probably due to: a. Dissociative Fuge b. Alzheimer's Disease c. Dissociative Identity Disorder d. Korsakoff's Syndrome