What is summation notation for the series: -3+ 1 + 5…+ 169 + 173

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\[\displaystyle\sum_{n=-2, n~par}^{86}(2n+1)=-3+1+5+~.~.~.~+169+173\\\\n=-2,~0,~2,~4,.~.~.,~86\][/tex]


Related Questions

Substitute the expression for y into x-2y=1 and solve the equation for x.

X=​

Answers

Answer:

make your question clear

Answer:

I'm not sure to help you but I can help you out a bit.

Since x - 2y = 1,

x = 1+ 2y

This is expressing x in terms of y.

In addition,

2y = x - 1

y = (x-1)/2

This is expressing y in terms of x.

Every week a company provides fruit for its office employees. They can choose from among five kinds of fruit. What is the probability distribution for the 30 pieces of fruit, in the order listed? Fruit Apples Bananas Lemons Oranges Pears 6 9 2 8 5 Number of pleces Probability O A. 1, 1 3 1 4 1 5 10 15 15 6 ОВ. 1 I 4 2 5 10 3° 15' 15 c. bot , 1 OD. 1 1 1 4 2 • 15. 5. 15 15​

Answers

Answer:

A? maybe i dont know dont quote me on that

Step-by-step explanation:

The Probability distribution is

Apples =1/5

Bananas = 3/10

Lemons = 1/15

Oranges = 4/15

Pears = 1/6

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Total Fruits = 30

Now, the probability distribution for the 30 pieces of fruit is

Apples = 6/30

            = 1/5

Bananas = 9/30

               = 3/10

Lemons = 2/30

              = 1/15

Oranges = 8/30

               = 4/15

Pears = 5/30

          = 1/6

Learn more about Probability here:

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What is 10% of 14???

Answers

Answer: 1.4

Step-by-step explanation:

Answer: 1.4

Step-by-step explanation:

14 x 0.1 = 1.4

(10% = 10/10 0= 0.1)

Drag the points to create two different cylinders with the
same volume.
What is the volume of one cylinder

Answers

Answer:

100 [tex]\pi[/tex]

Step-by-step explanation:

volume of a cylinder = r² h

= [tex]\pi[/tex] × 5² × 4

= [tex]\pi[/tex] × 25 × 4

= 100 [tex]\pi[/tex]

Volume is the measure of the three dimensional space it occurred. The volume of each cylinder is [tex]314.16 \: \rm unit^3[/tex] approximately.

What is the volume of a right circular cylinder?

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

Right circular cylinder is the cylinder in which the line joining center of top circle of the cylinder to the center of the base circle of the cylinder is perpendicular to the surface of its base, and to the top. (it simply means cylinder is standing straight on its base and its height and not leaning on a side)

For the given case, the radius of the considered cylinder is of 5 units and height is of 4 units. And the cylinder is right circular cylinder, so its volume is:

[tex]V = \pi r^2 h = 3.14159... \times (5)^2 \times (4) \approx 314.16 \: \rm unit^3[/tex]

Thus, the volume of each cylinder is [tex]314.16 \: \rm unit^3[/tex] approximately.

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given the slope intercept form of the equation identify the slope y=-x+1​

Answers

Answer:

The slope = -1

Hope this helps!

since there is no variable infront of -x you would go with -1 as your slope

What is the 5th term in the arithmetic sequence below?

–32, –20, –8, 4, ___, ...
A.
12
B.
15
C.
16
D.
18

Answers

Answer:

c.16

step 1: find d

d=-20-(-32)=12

test others to confirm your d

d=-8-(-20)=12

then,

formula

T5=-32+(5-1)(12)=16

Find the perimeter of the figure below, in feet.
8.eft
6.6 ft
16.6A
6.6 ft
6.6 ft
eft
2 ft
6.6 ft
6.6 ft
12.4ft
12.4ft
8.2 ft

Answers

Answer:

not entirely sure but my answer is 87.6ft.

for the perimeter of the shape.

Step-by-step explanation:

I cut out the extra square-ish pieces of the sides and found

that both are 17.2 for their perimeter. so 17.2×2= 34.4

then I found the perimeter of the sides of the rectangular shape and the sides were both 18.4ft. so 2(18.4+8.2)= 53.2.

so 53.2+34.4 = 87.6ft.


Help ASAP. Like right now

Answers

1/5=2/10

4/6=2/3

2/8=1/4

if y varies directly with x and y is 10 when x is 5 then what is y when x is 2

Answers

Answer:

y is 4

Step-by-step explanation:

so the equation is y = kx ( k is the constant)

We've been given x as 5 & y as 10 so we can use these values to find the constant .

10 = k(5)

k = 2

so now , we can find y

y = 2 × 2

y = 4

Using the diagram below, what is the length of AC

Answers

9514 1404 393

Answer:

  B.  4 mi  (the correct answer is marked)

Step-by-step explanation:

Corresponding sides are proportional:

  AC/EC = AB/ED

  AC = EC×AB/ED = (12 ft)×(7 mi)/(21 ft) = (84/21) mi

  AC = 4 mi

_____

There is no need to convert from miles to feet, or vice versa, in this problem. The units of ft/ft cancel, so the resulting units associated with the numerical value are miles. (If the unwanted units don't cancel the proportion is written incorrectly.)

In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 21% of your total grade, each major test is worth 23%, and the final exam is worth 33%. Compute the weighted average for the following scores: 70 on the lab, 99 on the first major test, 91 on the second major test, and 90 on the final exam

Answers

70(0.21) + 99(0.23) + 91(0.23) + 90(0.33)
= 14.7 + 22.77 + 20.93 + 29.7
= 88.1%

a fruit store purchases 10000 apples. it sells of the 1/2 remaining apples per day. calculate the number of apples left.
can someone help?

Answers

Answer:

Step-by-step explanation:

The fruit store sells 10,000 apples....

it sells 1/2 apples per day......

what is half of 10,000? It’s 5,000

so, I think it’s 5,000.... I don’t know bc it does not tell how many days........

Answer:

10000 divided by 2 equals

5000 divided by 2 equals

2500 divided by 2 equals

1250 divided by 2 equals

625 which divided equals half apples

Suppose f(x) = – 22 – 4x + 2 and g(x) =
42? +52 +5.
(f +9)(2) =

Answers

Answer:

[tex](f + g)(2) = 21[/tex]

Step-by-step explanation:

[tex]f(x) = -x^2 - 4x +2[/tex]

[tex]g(x) = 4x^2 + 5x + 5[/tex]

Required

[tex](f + g)(2)[/tex]

This is calculated as:

[tex](f + g)(2) = f(2) + g(2)[/tex]

Where:

[tex]f(2) = -2^2 - 4*2 +2 = -10[/tex]

[tex]g(2) = 4*2^2 + 5*2 + 5 = 31[/tex]

So:

[tex](f + g)(2) = f(2) + g(2)[/tex]

[tex](f + g)(2) = -10 + 31[/tex]

[tex](f + g)(2) = 21[/tex]

Records of randomly selected births were obtained and categorized according to the day of the week (see below) that they occurred (based on data from the National Center for Health Statistics). Because babies are unfamiliar with our schedule of weekdays, a reasonable claim is that births occur on different days with equal frequency. Use a 5% significance level to test that claim. Sat Mon Tue Wed Thur Fri Sat 140 131 124 120 130 103 94 Select the correct null and alternative hypothesis:

Answers

Answer:

H0: Births occur with the same frequency on the different days of the week.

H1: At least one day has a different frequency of births than the other days.

Step-by-step explanation:

The null hypothesis is that births occur with equal frequency for each day of the week, as for the alternative which will be the opposite of the null, will e the claim that, the frequency for atleast one if not all of the weeks are different.

Hence,

H0 : p1 - p2 = 0

H1 : p1 - p2 ≥ 0

Using the proper terminology, how would you explain and visually demonstrate that this is not always the case.

Answers

Answer:

you drew to much on it

Step-by-step explanation:

Determine the equation for a line that passes through the point M(-7, 3) and
perpendicular to 7x − 2y + 3 = 0. Show your complete work.

Answers

Answer:

y = 2x/7 + 5

Step-by-step explanation:

the first line is defined by

7x - 2y + 3 = 0

in the most common way to write this we need an equation like y = ...

so, we isolate the y-expression in the equation :

2y = 7x + 3

y = (7x + 3) / 2 = 7x/2 + 3/2

the factor of x is the slope of the line, which is expressed by the y/x ratio indicating how many units y will change, when x changes e.g. 1 unit.

7/2 means that y will change by 7 units for every change in x by 2 units.

the slope of a perpendicular line is inverse to the slope of the original line, which means x and y are simply trading places (original x / original y).

so, the perpendicular slope of 7/2 is 2/7 (when x changes by 7 units, then y changes by 2 units).

that means the equation for the perpendicular line is something like

y = 2x/7 + c

the c we determine by using the coordinates of the given point (x and y values).

3 = 2×(-7)/7 + c = 2×(-1) + c = -2 + c

c = 5

so, the complete equation of the perpendicular line is

y = 2x/7 + 5

find the surface area of the cube pls help i will brainlist you

Answers

Answer:

486 yd^2

Step-by-step explanation:

formula for surface area of a cube = 6 a^2

[tex]6( {9) }^{2} \\ 6 \times 81 \\ 486[/tex]

PLEASE HELP I WILL MARK BRAINLIEST

Answers

Answer:

8 x 13 = 104 yd^2

Step-by-step explanation:

To find the area of a rectangle we use the basic formula:

L x W

In this case 13 is your width and 8 is your length, multiply the two given lengths to get your area which is 104.

There are 2 fifth grade classes that recycled a total of 36.8 kg of paper this week. If each class recycled the same amount, how many kilograms of paper did each class recycle?

Answers

Answer:

18.4

Step-by-step explanation:

36.8 divided by 2

f(x) = (x -2) +4 Given: g(x) = (x - 5)2 + 4 When compared to the graph of f(x), the graph of g(x) is (1) shifted 3 units to the left (3) shifted 5 units to the left (2) shifted 3 units to the right (4) shifted 5 units to the right

Answers

Answer:

Option 2 is correct

Step-by-step explanation:

The graphs

please help Me ASAPPPP!​

Answers

Answer:

AOB = 65°

DOE = 35°

AOC = 90°

EOB = 115°

DOB = 85°

Hope this helps!

We put ___ beads in the ten column of an abacus for the number 7025​

Answers

Answer:

2

Step-by-step explanation:

10 column=10 space in number, aka 70(2)5

5. The population of walleye in a lake is estimated to be 12 345 at the end of the year and 13 624 at the beginning of the year . By what percent did this increase or decrease ?​

Answers

Answer:

10.3605% increase. Also don't click his bitly, might be an IP grabber.

Step-by-step explanation:

HELP I NEED THE ANSWER!!! Given circle E what is the length of AC?

Answers

Answer:

Step-by-step explanation:

3.2*E=1.6*4.8

E=7.68/3.2

E=2.4

i just wanted you guys know how much you guys look at the last night that we are doing this weekend so we

Write the equation for the graph of y = | x | translated left 4 units

Answers

Answer:  y = |x+4|

Explanation:

Imagine that the graph of y = |x| is carved in stone so it cannot move. What we can move though is the xy axis. If we move the xy axis 4 units to the right, then this gives the illusion the V shaped curve is moving 4 units to the left. It goes opposite whatever movement you do to the xy axis.

If we replaced x with x+4, then this moves the xy axis 4 units to the right.

Therefore, going from y = |x| to y = |x+4| will have the V shaped curve moving 4 units to the left.

An ancient Chinese candle clock tells the amount of time that has passed by the amount of wax that has been melted off the candle. Each candle is divided into 121212 sections, marked 111 inch (\text{in})(in)(, start text, i, n, end text, )apart. It takes 444 hours (\text{hrs})(hrs)(, start text, h, r, s, end text, )for each candle to completely melt, after which a new candle is lit. If two candles have completely melted and one candle has melted 4\ \text{in}4 in4, space, start text, i, n, end text, how many minutes have passed since the first candle was lit

Answers

Answer:

[tex]Time = 560\ mins[/tex]

Step-by-step explanation:

Given

[tex]Candles = 2[/tex] --- candles melted

[tex]Divisions = 12[/tex]

[tex]Time = 4\ hrs[/tex] --- time to melt

Required

The time since the first was lit

If 1 candle melts in 4 hours, 2 candles will melt in 8 hours.

i.e.

[tex]x = Candles * Time[/tex]

[tex]x = 2 * 4hrs[/tex]

[tex]x = 8hrs[/tex]

For the 3rd candle that has melted, 4 inches

First, calculate the fraction that melt

[tex]Fraction = \frac{Melt}{Division}[/tex]

[tex]Fraction = \frac{4}{12}[/tex]

[tex]Fraction = \frac{1}{3}[/tex]

The time to melt is:

[tex]y = Fraction * Time[/tex]

[tex]y= 4 * \frac{1}{3}[/tex]

[tex]y= \frac{4}{3}hrs[/tex]

So, the required time is:

[tex]Time = x + y[/tex]

[tex]Time = 8hrs + \frac{4}{3}hrs[/tex]

Convert to minutes

[tex]Time = 8*60mins + \frac{4}{3}*60mins[/tex]

[tex]Time = 480mins + 80mins[/tex]

[tex]Time = 560\ mins[/tex]

Solving a word problem involving rates and time conversion
A car travels at an average speed of 52 miles per hour. How long does it take to travel 247 miles? 0 hours [minutes X ? Check Explanation 202 MCQ 00​

Answers

Answer:

It takes 4.75 hours to travel 247 miles.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

A car travels at an average speed of 52 miles per hour.

This means that in 1 hour, the car travels 52 miles. How many hours for it to travel 247 miles?

1 h - 52 m

x h - 247 m

Applying cross multiplication

[tex]52x = 247[/tex]

[tex]x = \frac{247}{52}[/tex]

[tex]x = 4.75[/tex]

It takes 4.75 hours to travel 247 miles.

What is in the shape of a triangular pyramid and has a height of 10 inches the area of the base of the container is 12 in.² what is the volume of the figure actually inches

Answers

Answer:

60 cubic inches

Step-by-step explanation:

if its a triangle you have to divide it by 2 because its half of a square so its half of an answer so in this case you multiply 10 and 12 which gets you 120 divide that by 2 you get 60 and that's your answer.

3 cm
8 cm
Find surface area of cylinder

Answers

Answer: [tex]66\pi \text{ cm}^{2[/tex]

Step-by-step explanation:

[tex]S=2\pi(8)(3)+2\pi(3)^{2}=\boxed{66\pi \text{ cm}^{2}}[/tex]

Help PLSSS!!!!! I will give brainlyest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 17 1/2 or decimal form = 17.5

Step-by-step explanation: Hope this helped!

Answer:

17.5 Statues im pretty sure.

Step-by-step explanation:

7/8 divided by 1/20

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