5,5/2,5/4 find the ninth term

Answers

Answer 1

Answer:

T9 = 5/256

Step-by-step explanation:

This is a geometric progression

You can tell it by looking at the pattern of the progression whether each term +- or ×÷.

From the question,

First term, a = 5

Common ratio, r = (5/2)/5 = ½

n = 9

Using the formula for nth term of a geometric progression,

[tex] t_{n} = a {r}^{n - 1} [/tex]

T9 = 5(½)^(9-1)

= 5/256


Related Questions

25 POINTS! Omilia is making chapatis by mixing flour and water in the ratio of 1 : 3. She starts by mixing 2.5 cups of water with 4 cups of flour. How many more cups of water does she need?

Answers

Answer: Below

Step-by-step explanation:

We know that water must be three times flour, so our end goal is 12 cups of water, since 4 * 3 = 12.

We already have 2.5 and 4, so we make the equation:

2.5 + x = 12

Simplify.

x = 7.5

Our answer is 7.5

A shoebox has a volume of 64 in.³ and a surface area of 160 in.² what is the surface area of a similar shoe box if its volume is only 27 in.³ show your work or explain how you got your answer

Answers

Answer:

90 in²

shoebox:

volume = 64 in³surface area = 160 in²

Another shoebox:

volume = 27 in³surface area = x in²

====================

[tex]\sf (\dfrac{area1}{area2})^3 = (\dfrac{volume1}{volume2} )^2[/tex]

====================

[tex]\sf \hookrightarrow (\dfrac{x}{160})^3 = (\dfrac{27}{64} )^2[/tex]

[tex]\sf \hookrightarrow \dfrac{x^3}{160^3} = \dfrac{27^2}{64^2}[/tex]

[tex]\sf \hookrightarrow \ x^3 = \dfrac{729*4096000}{4096}[/tex]

[tex]\sf \hookrightarrow \ x^3 = 729000[/tex]

[tex]\sf \hookrightarrow \ x = \sqrt[3]{729000}[/tex]

[tex]\sf \hookrightarrow \ x = 90[/tex]

What is the equation of the circle pictured?





Explain your reasoning.

Answers

Answer:

(x+2)^2 + (y-4)^2 = 4^2

Step-by-step explanation:

A circle is x^2 + y^2 = 1 , where r = 1

The radius of that circle looks to appear to be r = 4.

x^2 + y^2 = 4^2

Transition that circle origin from (0,0) to (-2,4)

The origin is (-2,4) which mean h = -2 left and k = 4 up.

(x-h)^2 + (y-k)^2 = 4^2

(x-(-2))^2 + (y-4)^2 =4^2

Express 34m,5cm,6mm in millimeters​

Answers

Answer:

1- 34,000 Millimeters in 34 meters

2- 50 Millimeters in 5 Cm

3- 6mm is already in milimeter form

Step-by-step explanation:

1000 Millimeters are in 1 meter so 34,000 millimeters are in 34 meters

10 millimeters are in 1 CM, so 50 millimeters make up 5 cm

Answer:

34m=34x10³mm=34000mm

5cm=5x10mm=50mm

6mm=6mm

Xavier and Carlos have a bet to see who can get more “friends” on a social media side after 1 month. Carlos has 10 more friends than Xavier when they start the competition. After much work, Carlos doubles his amount of friends and Xavier triples his. In the end they have a total of 160 friends.
a. Write a system of equation that matches the verbal description given below if
c = number of Carlos’ friends and x = number of Xavier’s friends.

Answers

The system of equations that describes the situation is given by these two following equations:

c = 10 + x.2c + 3x = 160.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are c and x.

Carlos has 10 more friends than Xavier when they start the competition, hence:

c = 10 + x.

Carlos doubles his amount of friends and Xavier triples his. In the end they have a total of 160 friends, hence:

2c + 3x = 160.

More can be learned about a system of equations at https://brainly.com/question/24342899

_7_ × _ = 744

fill in the blank using the digits from 0 to 9​

Answers

Step-by-step explanation:

372×2

Hence fill In this order

3 2 2

372 * 2 = 744 is the correct answer

The angles X, of a tree blowing from the vertical, are distributed
according to the probability distribution shown.
What is the probability that the tree's angle, from the vertical, will
be greater than 4 degrees?
0.1
0.7
0.9
1

Answers

Using the uniform distribution, it is found that there is a 0.9 probability that the tree's angle, from the vertical, will be greater than 4 degrees.

What is the uniform probability distribution?

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

In this problem, the bounds are a = 3 and b = 13, hence:

[tex]P(X > 4) = \frac{13 - 4}{13 - 3} = 0.9[/tex]

There is a 0.9 probability that the tree's angle, from the vertical, will be greater than 4 degrees.

More can be learned about the uniform distribution at https://brainly.com/question/13889040

Answer:

There is a 0.9 probability that the tree's angle, from the vertical, will be greater than 4 degrees.

Step-by-step explanation:

just took the test :D

Need help on this question

Answers

Answer: 36 degrees

Step-by-step explanation:

Ben bought 4 pints of apple juice. he drinks 1/3 pint each day. how many days will the apple juice last ben?

Answers

Answer:

12 days

Step-by-step explanation:

Khalil is 1.65 meters tall. At 3 p.m., he measures the length of a tree's shadow to be
34.55 meters. He stands 30.4 meters away from the tree, so that the tip of his shadow
meets the tip of the tree's shadow. Find the height of the tree to the nearest
hundredth of a meter.
1.65 m
30.4 m
34-55 m

Answers

Answer:

Step-by-step explanation:

The height of the tree to the nearest hundredth of a meter is 1.875 meters.

Given that:

Khalil is 1.65 meters tall. At 3 p.m., he measures the length of a tree's shadow to be 34.55 meters. He stands 30.4 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow.

Let h be the height of khalil h = 1.65 , H be the tree height , L be the length of the tree's shadow L = 34.55 and l be the length of khalil shadow l = 30.4

Using equivalent ratios of heights:

h : H = l : L

H : 1.65 = 34.55 : 30.4

H/1.65 = 34.55/30.4

H = 34.55/30.4 * 1.65

on solving

H = 1.875 meters which is tree height

Therefore the height of the tree to the nearest hundredth of a meter is 1.875 meters.

Learn more about the height of the tree and shadow here:

https://brainly.com/question/17138922

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What is the measure of each angle in the circle?

60°
90°
30°
72°

Answers

Answer:

~Lord

The magnitude of the degree in a circle is. there are 5 angels in a circle

measure of each angle:

degree of circle ÷ numbers of angle360° ÷ 5 72°

so measure of each angle is 72°

Step-by-step explanation:

As Per Provided Information

Number of sector in given circle is 5

As we know sum of all angles in a circle at centre is 360° .

Since number of sector is given and we are asked to find the measure of each angle in given circle .

[tex] \huge{ \boxed{\sf \: Angle_{(Circle)} = \cfrac{360}{ \: number \: of \: sector}}}[/tex]

Now put the value in above equation and we obtain

[tex] \longrightarrow\sf \: Angle_{(Circle)} = \cfrac{360}{5} \\ \\ \\ \longrightarrow\sf \: Angle_{(Circle)} = \cancel \dfrac{360}{5} \\ \\ \\ \longrightarrow\sf \: Angle_{(Circle)} = {72}^{ \circ} [/tex]

Therefore,

Measure of each angle is 72° .

The average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7. What number is left out? B8 C 10 A 7 D 12​

Answers

The left out number is 12 if the  average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7 option (D) is correct.

What is mean?

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

Let's suppose the number of sum is x when mean is 8

[tex]\rm \dfrac{x}{5} = 8[/tex]

x = 40

Now one number is left out, mean become 7 let's suppose the sum is y.

[tex]\rm \dfrac{y}{4} = 7[/tex]

y = 28

So, the number = 40 - 28 = 12

Thus, the left out number is 12 if the  average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7 option (D) is correct.

Learn more about the mean here:

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Which is the BEST definition of dilation?

A. a transformation that either reduces or enlarges an object in the coordinate plane

B. a transformation that flips an object in the coordinate plane

C. a transformation that spins an object in the coordinate plane

D. a transformation that either slides or shifts an object in the coordinate plane

Answers

Answer:

A. a transformation that either reduces or enlarges an object in the coordinate plane

Step-by-step explanation:

The definition of dilation is the size of an object/shape by increasing/ decreasing its dimensions by scaling factors.

Dialtions do not flip and object, spin it, or slide it. It's dimensions are either enlarged, or reduced. Therefore, option A makes the most sense.

Two numbers have a product of -36
They have a sum of -5
What are the two numbers?

Answers

Answer:

-9,4

Step-by-step explanation:

E represents an object's weight on earth and m represents that same object's weight on the moon. the equation m = 1/6 e represents the relationship between these quantities. a. what does the 1/6 represent in this situation? b. give an example of what a person might weigh on earth and on the moon.

Answers

In the equation, 1/6 represents the constant of proportionality.

If a person weighs 60 kg on earth, the person would weigh 10kg ont he moon.

What is inverse proportion?

The equation that represents inverse proportion is: m = ke

Where:

m = dependent variable k = constant of proportionalitye = independent variable

If k is 1/6 and e is 60kg,

m = 1/6 x 60 = 10kg

To learn more about inverse proportion, please check: https://brainly.com/question/20391784

The measure of the complement of an angle is 40 less than the measure of the supplement of the angle. Find the measure of the angle.

Answers

Step-by-step explanation:

x is the angle.

complementary angles are adding up to 90°.

supplementary angles are adding up to 180°.

so,

90 - x = (180 - x) - 40 = 140 - x

0 = 50 ? no

there is something wrong here. this cannot work out, there is no solution. there cannot be a solution.

because due to the definitions, the supplementary measure of an angle must always be 90° larger than the complementary measure of the same angle. that is by default the difference in their definition.

so, if an angle is only 40° less than the supplementary angle, then it cannot be the complementary angle.

so, either there was a mistake in the question, or this is a trick question.

under the given circumstances, there is no solution possible.

Helppp plssssss!!!!!!

Answers

The answer is D, I agree with the person above!

One of the corners of a rectangle is shown.
A diagonal splits the corner into two angles.
20
Х.
Diagram not
drawn to scale
Work out the size of angle x.

Answers

Answer:

70 degrees

Step-by-step explanation:

rectange angle total = 360

1 corner = 90

90-20 = 70

HELPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

I think the modes are: 20 ,18 and 19

Find the slope of the line that passes through the following points. (-3,0) (3, 2)​

Answers

Answer:

slope: 1/3

Explanation:

[tex]\sf \boxed{\sf slope: \sf \frac{y_2-y_1}{x_2-x_1} }[/tex]    where (x1, y1), (x2, y2)

Solve for slope:

insert values

[tex]\rightarrow \sf \dfrac{2-0}{3-(-3)}[/tex]

remove brackets

[tex]\rightarrow \sf \dfrac{2}{3+3}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{2}{6}[/tex]

final answer

[tex]\rightarrow \sf \dfrac{1}{3}[/tex]

Answer:

the slope of the line passing through (-3,0) (3,2) is 1/3

Step-by-step explanation:

Slope is equal to the change in y over the change in x, or rise over run. m=change in y/change in x. The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise). m=y2-y1/x2-x1. Substitute in the values of x and y into the equation to find the slope. m=2−(0)3−(−3)m=2-(0)3-(-3) Simplify. m=13

To find the probability of two
independent events, you
their
probabilities.
A) add
B) subtract
C) multiply D) divide

Answers

Answer:

To find a probability Multiply two independent events.

FOR 100 POINTS
The ratio of boys to girls in Janice’s classroom is 3:5, and there are a total of 32 students in the class. Using complete sentences, explain how you could draw a tape diagram to represent this situation. In your answer, make sure to include what quantity each bar represents.

Answers

Answer:

The answer is

18:32

Step-by-step explanation:

The total number of students in the class is 32 students. 3 boys and 5 girls. But wait! Were not done yet.

Boys:

3 x 4 = 12

or

3 + 3 + 3 + 3 = 12

Girls:

4 + 4 + 4 + 4 + 4 = 20

or

4 x 5 = 20

20 + 12 = 32

Hope this helped! :^)

- ✨7272033Alt

What is the slope of the line shown in the graph?
(-2,2)
2
(0,1)
0-2

Answers

Answer:

= -0.5

Step-by-step explanation:

Slope:

(y2-y1/x2-x1)

Plug in:

(0,1), (-2,2)

2-1/-2-0

-1/2

= -0.5

The slope is -1/2. It goes down because its negative and its rise over run which is 1/2

I need this answered real quick

Answers

Answer:

11x+60° =93

11x =93-60

x=33/11

x=3

z+93 = 180 (being angles in st. line)

z=180-93

z= 87

Answer:

x=3

z=87

Step-by-step explanation:

Using the vertical angles rule, we can set 11x+60=93, solve for x:

[tex]11x+60=93\\11x=33\\x=3[/tex]

Since two angles on a line add up to 180, we can find z by setting 180=z+93, solve for z:

[tex]180=93+z\\87=z[/tex]

what would you do to solve the system: y=x+3 and y=x^2+x-6

Answers

i think you would make both equations equal each other? so i believe your answer is x=3 but i’m not positive

Will be deleted at 3:30

Answers

Answer:

240.73 mm

Step-by-step explanation:

The hour hand is 20 mm and the minute hand is

200% of 20 mm = 2*20 mm = 40 mm long

The tip of the hour hand travels 1/12 of the circle and the tip of the minute hand travels full circle in one hour.

Find each length and their difference using circumference formula.

C = 2πr

Hour hand

1/12*(2*3.14*20) = 10.47 mm (rounded)

Minute hand

2*3.14*40 = 251.2 mm

The difference between the two above

251.2 - 10.47 = 240.73 mm

Answer:

230.38 mm

Step-by-step explanation:

The distance traveled by the tip of the hands is (part of) the circumference of the circle with radius of the lengths of the hands.

[tex]\textsf{Circumference of a circle}=\sf 2 \pi r\quad\textsf{(where r is the radius)}[/tex]

Radii

Larger circle (minute hand):  

r = 200% of 20 mm = 40 mm

Smaller circle (hour hand):

r = 20 mm

Minute Hand

The minute hand does a full rotation of the circle in one hour.

Therefore, the distance it travels in one hour is the complete circumference of a circle with radius 40 mm:

[tex]\begin{aligned} \implies \textsf{Distance minute hand travels} & = \sf 2 \pi (40)\\ & = \sf 80 \pi \: mm\end{aligned}[/tex]

Hour Hand

There are 12 numbers on a clock.

The hour hand travels from one number to the next in one hour.

Therefore, the distance it travels in one hour is 1/12th of the circumference of the circle:

[tex]\begin{aligned}\implies \sf \textsf{Distance hour hand travels} & =\left(\dfrac{1}{12}\right)2 \pi r\\ & = \sf \left(\dfrac{1}{12}\right)2 \pi (40)\\& = \sf \dfrac{20}{3}\pi \: mm \end{aligned}[/tex]

To find how much farther the tip of the minute hand moves than the tip of the hour hand, subtract the latter from the former:

[tex]\begin{aligned}\implies \textsf{distance} & = \textsf{minute hand distance}-\textsf{hour hand distance}\\& = \sf 80 \pi - \dfrac{20}{3} \pi \\& = \sf \dfrac{220}{3} \pi \\& = \sf 230.38\: mm \:(nearest\:hundredth) \end{aligned}[/tex]

???????!:!:!:!:!:?!!!!!???!:!/!/

Answers

Answer:

Corral 4

Step-by-step explanation:

we need to divide  the area of the corral by the Number of animals In order To know the dedicated  space for each animal

Corral 1 :

(50×40)÷110 = 18.181818181818 < 20

Then it doesn’t meet the requirements.

Corral 2 :

(60×35)÷115 = 18.260869565217 < 20

Then it doesn’t meet the requirements

Corral 3 :

(55×45)÷125 = 19.8 < 20

Then it doesn’t meet the requirements

Corral 4 :

(65×40)÷130 = 20

Then It meets the requirements

The total surface area of a right cylinder which has a base diameter of 10 cm and a height of 7 cm is:
388 square centimeters.
377 square centimeters.
363 square centimeters.
352 square centimeters.
391 square centimeters.

Answers

Answer:

377 square centimeters

Step-by-step explanation:

Formula: h(2×pi×radius) I know there's a second part but I'm doing this first.

First find the radius, in the problem it says a diameter of 10cm

Divide 10 by 2 to find the radius = 5

I'm going to use 3.14 as Pi

7(2×3.14×5)

7(31.4) = 219.8

Next part, solving for the 2 circles

Formula: 2×pi×radius²

2×3.14×5²

solve 5² first (5×5) = 25

2×3.14×25 is 157

add 219.8 and 157 = 376.8 round to 377

Answer: 377 square centimeters

what is the slope of line QX? X(5,5) and Q(4,1) ​

Answers

Answer:

4

Step-by-step explanation:

[tex]slope = \frac{5 - 1}{5 - 4} \\ = \frac{4}{1} \\ = 4[/tex]

Answer: 4

Step-by-step explanation:

Slope is rise over run, which is the change in the y-values divided by the change in the x-values. Each point is given as a coordinate pair: (x,y).

For point Q (4,1) the y-value is 1 and the x-value is 4.

For point X (5,5), the y-value is 5 and the x-value is 5.

To find the slope, take the y-value for point X minus the y-value for point Q. That is the numerator of your slope. Then take the x-value for point X minus the x-value for point Q. That is the denominator of your slope.

The numerator divided by the denominator equals the slope.

(5-1)/(5-4) = (4)/(1) = 4

Calculate the perimeter of the figure

Answers

Answer: 76 meters

Step-by-step explanation:

top side left blank = 18 because it is congruent to the bottom

left side blank is 4 + 4 + 4 (right side lengths added)

left side blank is 12

add all side lengths together for perimeter

12 + 18 + 4 + 8 + 4 + 8 + 4 + 18 = 76

76 meters

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