Find the sum of the series if n = 6, r = 1/4, a = 2.

Answers

Answer 1

Answer:

8.25

[tex]8\frac{1}{4}[/tex]

Step-by-step explanation:

n + r + a

6 + 0.25 + 2

8 + 0.25

8.25


Related Questions

The area of the base of a cylinder is equivalent to the base of a circle? A) True. B) False​

Answers

Answer:

Yes

Step-by-step explanation:

The base of both the cylinder and Circle are both circles.

In 15–20, write the number positioned at each point.

Answers

Answer:

See below.

Step-by-step explanation:

15.) -3.25

16.) -4.5

17.) 1.25

18.) -5.75

19.) 0.5

20.) -2.5

A number line is a horizontal line that has equally spread number increments. The points at A, B, C, D, E and F are -3.25, -4.5, 1.25, -5.75, 0.5 and -2.5

What is Number system?

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.

A number line is a horizontal line that has equally spread number increments. The points at A, B, C, D, E and F are

15.) -3.25

16.) -4.5

17.) 1.25

18.) -5.75

19.) 0.5

20.) -2.5

Therefore the points at A, B, C, D, E and F are -3.25, -4.5, 1.25, -5.75, 0.5 and -2.5.

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1.Show that the points (5,5),(6,4),(-2,4) and (7,1) are concyclic .Also find the equation ,centre and radius of the circle on which they lie.​

Answers

Answer:

See below

Step-by-step explanation:

This is how I solved it.

Plotted the given points. See the attached.

Identified two pairs to connect, the two chords.

(5. 5) with (7, 1) and (6,4) with (-2, 4).

Determined the equation of both lines:

y -5 = [( 1 - 5)/(7-5)](x - 5) ⇒  y - 5 = -2(x - 5)y = -2x + 15

and

y = 4 (horizontal line)

Identified perpendicular bisectors of those two chords, they both pass through the center of circle.

Midpoints of the chords:

[(5 + 7)/2, (5 + 1)/2] = (6, 3)

and

(6 - 2)/ 2 = 2

The equations:

y - 3 = 1/2(x - 6) ⇒ y = 1/2x x = 2 (perpendicular to y = 4 and passing through x = 2)

Solving the system found the intersecting of those, the center.

Found the center:

(2, 1)

Found the distance from the center to one of the points (7, 1):

7 - 2 = 5, this is the radius

The equation of circle:

(x - 2)² + (y - 1)² = 25

Verified all the other points are on same circle, confirmed.

Find the area of an 11-gon with side length 5 inches.

Answers

Answer:

234.141

Step-by-step explanation:

The formula is [tex]\frac{11}{4} *(s)^2*cot(\frac{\pi }{11})[/tex]. If you substitute 5 in, you get [tex]\frac{275}{4} *cot(\pi /11)[/tex] or 234.141

A school has 500 students. 340 are boys
a student is chosen at random. find the probability that student is a girl​

Answers

Answer:

p = 8/25

Step-by-step explanation:

500 - 340 = 160 girls

p = 160/500

p = 8/25

Round off 54951 to the nearest 10,000.

Answers

Answer 50,000

Step-by-step explanation:


Answer:
50,000

Rounded to the nearest 10,000 or
the Ten Thousands Place.

Can someone please help me?

Answers

Answer:

yes i can

Step-by-step explanation:

Answer:

(2,7)

Step-by-step explanation:

At a student art fair, 100 projects were on display. Of all the
3
art projects, were paintings and were photographs.
4.
5
How many of the projects were photographs or paintings?

Answers

Answer: 90 projects in all 1/5 were photographs 1/5 of 90=90/5=18

Step-by-step explanation: done :)

Answer:

i cannot see the numbers, can you type them out??

Step-by-step explanation:

i can add answer once you tell me

ASAP A student population in a school was 972. Next year they are projected to have a 25% increase in student population. How many students will they have next year?

Answers

Answer:

3888

Step-by-step explanation:

Answer:

25% of 972= 243

243+972=1215 students

the concavity of a function is described by its

expression
1st derivative
2nd derivative
3rd derivative

Answers

The concavity of a function is described by its second derivative.

-The expression will not directly tell us whether the function is concave up or concave down and where it changes, though graphing the function may give us some sort of idea.

-The first derivative tells us the critical/important values (where there could be asymptotes), as well as where the function is increasing/decreasing.

-The second derivative tells us again the critical/important values, but also where the function is concave up/down. We find concavity in the same way we find increasing/decreasing using the first derivative.

-The third derivative, at least in my experience, has only been used to find acceleration of a function.

Hope this helps!! :)

The concavity of a function is described by its 2nd derivative

The concavity of a function is dependent on the rate of change of a function's derivative

Assume the derivative of a function is f'(x), so the second derivative would be represented as: f"(x)

When f"(x) > 0, then the function is concave downward.

However, if f"(x) < 0, then the function is concave upward.

Hence, the concavity of a function is described by its 2nd derivative

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In April 1986, a flawed reactor design played a part in the Chernobyl nuclear meltdown. Approximately 14252 becqurels (Bas), units of radioactivity, were initially released into the environment. Only areas with less than 800 Bas are considered safe for human habitation. The function f) = 14252(0.5) describes the amount, (), in becqurels, of a radioactive element remaining in the area of years after 1986. Find f(220) to determine the amount of becqurels in 2206. Determine if the area is safe for human habitation in the year 2206.
A. Yes, because by 2206, the radioactive element remaining in the area is less than 800 Bqs.
B. No, because by 2206, the radioactive element remaining in the area is greater than 800 Bqs.
C. Yes, because by 2206, the radioactive element remaining in the area is greater than 800 Bqs.
D. No, because by 2206, the radioactive element remaining in the area is less than 800 Bqs.

Answers

Answer:

A. Yes, because by 2206, the radioactive element remaining in the area is less than 800 Bqs.

Step-by-step explanation:

Function for the amount of radioactivity:

The function for the amount of radioactivity, in t years after 1996, is given by:

[tex]f(t) = 14252(0.5)^{\frac{t}{32}}[/tex]

Find f(220) to determine the amount of becqurels in 2206.

[tex]f(220) = 14252(0.5)^{\frac{220}{32}} = 121.42[/tex]

121.42 < 600, so the area will be safe, and the correct answer is given by option A.

can a triangle consists of an acute angle a right angle and a obtuse angle​

Answers

Answer:

No

Step-by-step explanation:

All triangles have to equal 180 degrees. The sum of those angles would be greater than 180

Polynomial is a combination of O constants O variables O exponents O all of the choices

Answers

Answer:

It would be all of the above.

Step-by-step explanation:

An example of a polynomial is:

2x^3 - 4x^2 +1x -8

Note how there are exponents, such as ^3 for example. There is also a variable, in this case x. Lastly, there are constants, which are numbers by themselves.

Round 27346 to 2 significant figures i need a step by step expansion

Answers

Answer:

27000

Step-by-step explanation:

We want to round 27346 to 2 significant figures.

Now, the number already has 5 significant figures, so to reduce it to 2 sig figures, we will have to reduce the 3 digits from the right to zero so that we can have just 2 significant figures by approximating.

Thus, 3 is less than 5 and so 7 cannot increase. Thus, we will have 27000 as the number when reduced to 2 significant figures.

Help me PLEASEEEEEEEEEEEEE

Answers

Answer:

Option A:[tex] \frac{4}{5} \: gallon \: per \: week[/tex]

Step-by-step explanation:

Given,

Gallon of juice drank in 5 weeks = 4

Therefore,

Gallon of juice drank in 1 week

[tex] = \frac{4}{5} (ans)[/tex]

Drag the tiles to the boxes to form correct pairs.
Match the values associated with this data set to their correct descriptions.

{6, 47, 49, 15, 43, 41, 7, 36}

First quartile, 11
Median, 45
Third quartile, 38.5
Difference of largest value and median, 10.5

Answers

Answer:

Step-by-step explanation:

What is the fractional equivalent of the repeating decimal n=0.2727…?

Answers

Answer: 3/11 would be the answer

What’s the answer to this one?

Answers

Sum of the interior angles of any triangle equal 180 degrees , Thus :

A + B + C = 180

48 + B + 67 = 180

B + 115 = 180

B = 180 - 115

B = 65 degrees

Answer:

B = 65°

Step-by-step explanation:

Area of triangle,

→ 180° = A + B + C

→ 180° = 48° + B + 67°

→ 180° = 115° + B

→ B = 180° - 115°

→ B = 65°

Question 8
1 pts
Jerome went apple picking with his family. In his bag he had four Granny Smith
apples, two Honeycrisp apples, three Gala apples, and one Fuji apple. What is
the probability that he will pick a Honeycrisp apple out of his bag, eat it, and
then choose another Honeycrisp apple? Write your answer as a simplified
fraction.

Answers

Answer:

Total apples=10

no.of honeycrisp Apple=2

1). Probability-2/10. =1/5

now total apples left=9

tolyal honey crisp apples left=1

2) probability=1/9

The Probability that Jerome pick a Honeycrisp apple out of his bag is 1/5.

The Probability the Jerome pick to choose another Honeycrisp apple out of his bag is 1/9.

What is probability?

Probability is "possibility that deals with occurrence random events".

According to the question,

Total number of apples = 10 apples

Total number of Honeycrisp apples = 2 apples

Formula for probability = [tex]\frac{Number of favorable events}{Total number of events}[/tex]

Probability that Jerome pick a Honeycrisp apple out of his bag = [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex].

After taking one honey crisp apple remaining one left so subtracting one from total number of apples.

10 - 1 = 9

Probability that Jerome pick to choose another Honeycrisp apple out of his bag = 1/9.

Hence, the Probability that Jerome pick a Honeycrisp apple out of his bag is 1/5.

The Probability the Jerome pick to choose another Honeycrisp apple out of his bag is 1/9.

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Helpp plzz will mark brainleast

Answers

I’m pretty sure the correct answer is 30

y’all pls i’m in pain here

Answers

Answer:

it's the first one

Step-by-step explanation:

sorry if im wrong but i think it's right

Answer:

its the first

Step-by-step explanation:

first see how much it increases (1/2x)

and then where on the y line its crossing (+4)

sorry for bad english

Harry purchased 5 liter of blackberries. His younger brother ate 1/6 liter of the
blackberries on the way home. How many liters does he have left?
liter
Math

Answers

Answer:

f

Step-by-step explanation:

sro;y :-(

Answer:

Since his bro ate 1/6litre...

The remaining is simply

5 - 1/6 = 29/6litres

Find the height of the tower using the information given in the illustration. A right triangle has a a vertical side as the height of the Eiffel Tower, a horizontal side of length 130 feet across the ground, and an unlabeled hypotenuse. The angle formed by the hypotenuse and the horizontal side measures 85.691 degrees. 130 ft The height of the tower is nothing feet.

Answers

Answer:

1725.1 feet

Step-by-step explanation:

It is given that there is a right angled triangle having a base of length of 130 feet. The angle between the hypotenuse and the base is given as 85.691 degrees.

Therefore, to find the height, we know :

[tex]$\tan \theta = \frac{\text{height}}{\text{base}}$[/tex]

[tex]$\tan 85.691 = \frac{\text{h}}{\text{130}}$[/tex]

[tex]$13.27 = \frac{\text{h}}{\text{130}}$[/tex]

h = 13.27 x 130

  = 1725.1 feet

Therefore, the height of the Eiffel tower =  1725.1 feet

What is the slope of the line that passes through the points (-1, 0) and (3, 8)?

Answers

Slope of line = Y2 - Y1 / X2 - X1
= 0 - 8 / -1 - 3
= -8/-4
= 2

The College Board originally scaled SAT scores so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. Assuming scores follow a bell-shaped distribution, use the empirical rule to find the percentage of students who scored greater than 700.
a. 95%.b. 2.5%.c. 5%.d. 97.5%.

Answers

Using the Empirical Rule, the percentage of students who scored greater than 700 is:

b. 2.5%

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

700 is two standard deviations above the mean. 5% of the measures are more than two standard deviations of the mean. Since the normal distribution is symmetric, 2.5% of these measures are below 300 and 2.5% are above 700, hence option B is correct.

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A chocolate milk container in the form of a rectangular prism is 5 cm long, 3 cm wide, and 9 cm high. How many cubic centimeters of chocolate milk can it hold?

WITH SOLUTION PLEASE​

Answers

Hello there I hope you are having an great day :) A chocolate milk container in the form of a rectangular prism is 5 cm long, 3 cm wide, and 9 cm high. How many cubic centimetres of chocolate milk can it hold?

V = L x W x H

Volume = length x Width x Height.

V = (5cm) (3cm (9cm)

V = 135cm^3

Therefore, the chocolate milk container can hold 135 cubic centimetres. Hopefully that helps you :)

SOMEONE PLEASE HELP!

Answers

I dont know Im sorry

Step-by-step explanation:

I just want points in not that smart

PLEASE SOLVE QUICK IM UNDER A LOT OF STRESSSSSSS

Answers

14. 24
15. 29


sorry if i’m wrong!

Can someone please help answer?

Answers

It would be 8x8

Hope this helped :)

Help pls this is 5th grade math

Answers

Answer:

1.35

2.54

3.32

4.64

5.121

6.70

Answer:

1: 35

2: 54

3: 32

5: 64

6: 121

7: 70

Step-by-step explanation:

1: 180-(110+35)

2: 180-(74+52)

3: 180-(58+90)

5: 180-(52+64)

6: 180-(36+23)

7: 180-(56+54)

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