(5 + 13 + 21 + ......... + 18) = ?​

Answers

Answer 1

Correction:

5+13+21+...+181

First term = 5

Common difference = 13-5 = 8

Last term = an = 181

⇛a+(n-1)d = 181

⇛5+(n-1)(8) = 181

⇛ 5+8n-8 = 181

⇛ 8n-3 = 181

⇛ 8n = 181+3

⇛ 8n = 184

⇛n = 184/8

⇛ n = 23

Sum of the first n terms = Sn = (n/2)(a+an)

Sum of 23 terms = S 23

⇛(23/2)(5+181)

⇛ (23/2)(186)

⇛23×93

⇛2139


Related Questions

The ratio of girls to boys in a bicycling club was 2:3 they were 27 boys how many total members were there in the club

Answers

There were 18 girls because 27 divided by 3 is 9 so then you do 2 times 9 which is 18 :)

Answer:

45

Step-by-step explanation:

Ratio is 2girls:3boys

if there were 27 boys, we would have the following ratio:

2g    xg

--- = ---

3b     27b

To get from 3 to 27, multiply by 9.

Now, do the same for the numerator.

Now we know we have 18 girls!

We can add:

27 boys and 18 girls=

45 members!

What percent of 80 is 16

Answers

Answer:

20 percent

Step-by-step explanation:

20 percent

Step 1: 16/80

Step 2: 16/80 x 100/100 = 20/20

Step 3: 20

What is the rate unit of running 4 laps in one minute?
0 4
minutes
laps per minute
laps

Answers

Answer:

laps per minute

Step-by-step explanation

because it is asking you to find the unit of laps per minute.

Use slopes and y-intercepts to determine if the lines 5x−5y=5 and 5x−5y=−5 are parallel.

Answers

They are parallel because they have the same slopes (5x)

3. If dy = x^2y^2 , then what is d2y/dx2

Answers

[tex]\text{Given that,}\\\\\dfrac{dy}{dx} = x^2 y^2\\\\ \implies \dfrac{d^2 y}{dx^2} = x^2\cdot 2y \dfrac{dy}{dx}+ y^2 \cdot 2x\\\\\implies \dfrac{d^2 y}{dx^2} = x^2 \cdot 2y \cdot x^2 y^2 +2xy^2\\\\\implies \dfrac{d^2 y}{dx^2} =2x^4y^3 + 2xy^2 = 2xy^2(x^3y+1)[/tex]

How do I figure this out

Answers

Answer:

D

Step-by-step explanation:

yeah-ya....................... right?

Answer:

D

Step-by-step explanation:

hope it help correct me if wrong

i really need helpppppppppppppppppppppppppppppp

Answers

Answer:

it makes no sence

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Mean x¯¯¯ 7.25

Median x˜ 7

Mode 6

Range 12

Minimum 1

Maximum 13

Count n 16

Sum 116

Quartiles Quartiles:

Q1 --> 5

Q2 --> 7

Q3 --> 10

Interquartile

Range IQR 5

Outliers none

7.25 - 7 = 0.25

Which term is defined as the distance from the center of a circle to any point on the circle?
A. Directrix
B. Diameter
C. Circumference
D. Radius​

Answers

Answer:

radius is the distance from the center of circle to any point of the circle.

Which expression has a value of −8?

Answers

Answer:

-4+-3+2-3

Step-by-step explanation:

Consider the functions f(x) = 12^x and g(x)= -2(12)^x. Which transformations must be applied to function F to produce the graph of function g?

SELECT ALL CORRECT ANSWERS

Vertical stretch
Vertical Shift
Vertical Compression
Reflection over the x-axis
Horizontal Shift

Answers

Answer:

Step-by-step explanation:

g(x) = -2f(x)

Vertical stretch                       by virtue of the factor 2

Reflection over the x-axis      by virtue of the factor -1

The transformations which must be applied to function F to produce the graph of function g are vertical stretch and reflection over the x-axis.

To transform the function f(x)=12ˣ into the function  g(x)=−2(12)ˣ

Since g(x) is multiplied by -2 compared to f(x), this represents a vertical compression.

The absolute value of the multiplier indicates the degree of compression/stretch.

The negative sign in front of 2(12)ˣ in g(x) reflects the graph over the x-axis. This means that the graph of g(x) is reflected below the x-axis compared to f(x).

Hence, vertical stretch and reflection over the x-axis are the transformations which must be applied to function F to produce the graph of function g.

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Tessa feeds her dog,Roscoe 3 3/4 cups of dog food per day.if she buys a bag of food that contains 165 cups, how many days will the bag last?

Answers

44 days 165 ÷ 3 3/4 = 44

From 175 yards away, a marksman hit 14/50 of the targets last year.

Answers

BOOOOGAAAAAAAAAAAAAAAAAAAAA

in Emma's supply box a pencil weighs 3ounces.her scissors weigh 3 ounces more than the pencil and a bottle of glue weigh three times as the scissors how much those the bottle of the glue weigh in pounds and ounces.​

Answers

Answer:

18 Ounces which is equal to 1 pound and 2 ounces

Step-by-step explanation:

pencil weighs 3 ounces

scissors weighs =pencil+3 ounces =6 ounces

bottle of glue=3*scissors which is equal to 18 Ounces simple 16 ounces = 1 pound

Thanks

What location on the line would you find the constant of proportionality?

Answers

Answer:

2.4

Step-by-step explanation:

The constant of proportionality is y=kx which should 2.4


If x is increasing at a
rate of 2 units per second,
find the rate of change of theta
at the instant when x= 12 units.

Answers

Answer:

[tex]\frac{d\theta}{dt}=-\frac{2}{5}[/tex] at [tex]x=12[/tex]

Step-by-step explanation:

[tex]\frac{dx}{dt}=2[/tex]

[tex]\frac{d\theta}{dt}=?[/tex]

[tex]x=12[/tex]

[tex]cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]

[tex]cos(\theta)=\frac{x}{13}[/tex]

[tex]\frac{d}{dt}cos(\theta)=\frac{d}{dt}\frac{x}{13}[/tex]

[tex]-sin(\theta)\frac{d\theta}{dt}=\frac{1}{13}\frac{dx}{dt}[/tex]

[tex]-sin(\theta)\frac{d\theta}{dt}=\frac{1}{13}(2)[/tex]

[tex]-sin(\theta)\frac{d\theta}{dt}=\frac{2}{13}[/tex]

[tex]\frac{d\theta}{dt}=\frac{2}{-13sin(\theta)}[/tex]

[tex]cos(\theta)=\frac{x}{13}[/tex]

[tex]cos(\theta)=\frac{12}{13}[/tex]

[tex]\theta=cos^{-1}(\frac{12}{13})[/tex]

[tex]\frac{d\theta}{dt}=\frac{2}{-13sin(\theta)}[/tex]

[tex]\frac{d\theta}{dt}=\frac{2}{-13sin(cos^{-1}(\frac{12}{13}))}[/tex]

[tex]\frac{d\theta}{dt}=\frac{2}{-13(\frac{5}{13})}[/tex]

[tex]\frac{d\theta}{dt}=\frac{2}{-5}[/tex]

[tex]\frac{d\theta}{dt}=-\frac{2}{5}[/tex]

The value of θ is given by the inverse sine function, from which the rate of

change of θ with respect to x can be derived.

The rate of change of θ at the instant when x = 12 units is -0.4 rad/s

Reasons:

[tex]\displaystyle \frac{dx}{dt} = \mathbf{2 \ units \ per \ second}[/tex]

[tex]\displaystyle cos(\theta) = \frac{x}{13}[/tex]

[tex]\displaystyle \theta = arccos \left(\frac{x}{13}\right)[/tex]

[tex]\displaystyle \frac{d}{dx} \theta = \frac{d\left(arccos \left(\frac{x}{13}\right)\right)}{dx} = \mathbf{\frac{\sqrt{169-x^2} }{x^2-169}}[/tex]

Using chain rule of differentiation, we have;

[tex]\displaystyle \frac{d\theta}{dt} = \mathbf{ \frac{d\theta}{dx} \times \frac{dx}{dt}}[/tex]

Therefore;

[tex]\displaystyle \frac{d\theta}{dt} =\frac{\sqrt{169-x^2} }{x^2-169}\times \frac{dx}{dt} = \mathbf{\frac{\sqrt{169-x^2} }{x^2-169}\times 2}[/tex]

When x = 12, we get;

[tex]\displaystyle \frac{d\theta}{dt} =\frac{\sqrt{169-12^2} }{12^2-169}\times 2 = -\frac{2}{5} = -0.4[/tex]

The rate of change of the angle, θ, with time at the instant when x = 12 is -0.4 rad/s

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Pls help is correct ASAP

Answers

yeah, its correct! :)

HELP PLEASE 20 POINTS

Answers

Answer:

a b and j?

Step-by-step explanation:

The sum of 7/8 of a number and 20 is 34 at minimum

Answers

Answer:

7/8x ≥ 14

Step-by-step explanation:

(sum means addition in case you forgot)

You would start by writing 7/8x + 20 ≥ 34

You would then subtract 20 from both sides to isolate the variable x.

You would then have 7/8x ≥  14

No links help
Rectangle X is 5 cm long and 3 cm wide. Rectangle Y is similar to Rectangle X. What could be the dimensions of
Rectangle Y?
A)10 cm long and 8 cm wide
B)15 cm long and 9 cm wide
C) 15 cm long and 13 cm wide
D)10 cm long and 3 cm wide

Answers

B) 15cm long and 9cm wide

Determine the area of the yellow sector

Answers

Answer:

146 is the answer im positive


The dimensions of a rectangular garden is 3 m by 10 m. When both dimensions are increased by equal amounts, the area of the garden doubles. What are the dimensions of the new garden?

Answers

Answer:

5 by 12 m

Step-by-step explanation:

The area for rectangle is LxW

The original area is 3*10, or 30 meters.

When both dimensions are increased, now the area is 60.

We can now inch up slowly to see what works:

3.5 and 10.5=36.75 X

4 and 11=40 X

5 and 12=60 YES!

The new dimensions of the garden are 5 m by 12 m, increased by 2, and the new area is 60 meters^2.

Emma has nickels and five dollar bills in her pocket. The number of nickels is Five less than three times the number of five. Let f represent the number of dollar bills. Write an expression of the number of nickels.

Answers

Answer:

since the number of nickels is 10 so the expression is5+5

The number of nickels is 10 so the expression is n = 3f - 5

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that Emma has nickels and five dollar bills in her pocket. The number of nickels is Five less than three times the number of five.

Consider that f represent the number of dollar bills.

The expression "The number of nickels is" is equivalent to "n =";

Also, "three times the number of five dollar bills" is equivalent to "3*f"

"eight less than three times the number of five dollar bills" is equivalent to      "3*f - 5"

Then the expression is n = 3f - 5

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13. This shows a part of a multiplication table. Find the missing numbers. Explain how you found the numbers.

35 40
42 ?
? ?​

Answers

The missing numbers in the multiplication table are 49, 48 and 56 respectively

Given:

35

42

?

35 = 7 × 5

42 = 7 × 6

? = 7 × 7 = 49

40

?

?

40 = 8 × 5

? = 8 × 6 = 48

? = 8 × 7 = 56

Multiplication table is a mathematical table showing the products of each of integers such as 7 and 5, 1 and 10, 13 and 12 etc

Therefore, the missing numbers in the multiplication table are 49, 48 and 56 respectively

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graph { (2/3) (2,4) (-3/4)}

Answers

Answer 56

Step-by-step explanation:

What is the missing number that makes the ratios equivalent?
12:9
_:18​

Answers

Answer:

24

Step-by-step explanation:

pls help meee

6.) in a repeating musical pattern, there are 56 beats in 7 measures. How many measures are there in 104 beats?

Answers

Answer:

23 measure

Step-by-step explanation:

because 56/7 = 8

so 104/8=23

Answer:

13 measures

Step-by-step explanation:

for every 7 measures, there is 56 beats. and if you want to find out how many beats there are per measure, you would do 56 ÷ 7 = 8.

Now that you've found thay there are 8 beats per measure, you would divide 104 by 8 to find out how many measurs there are.

104 ÷ 8 = 13

For which value of x is inequality 3(1+x)<+6true?

Answers

Answer: For in the inequality to be true, X must be less than or equal to 1. That represented as an in equality is X < 1.

x<1 true

Step-by-step explanation:

3(1+x)<+6= 3×1+3×X<+6=3+3x<6 then3x=6-3 solution 3x=3 devide by 3 both sides the answer is x=1 hence x<1 verified

Estimate the distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour. Round your answer to the nearest mile.

Answers

Answer:

163 miles

Step-by-step explanation:

set up a ratio based on 49 miles in 1 hour (60 minutes):

let 'd' = distance in 3hrs, 20 min

3hrs, 20 min = 200 minutes

49/60 = d/200

cross-multiply:

60d = 9800

d = 163.3

The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be 163.33 miles.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

The speed of the vehicle is 49 miles per hour. And the time is 3 hours 20 minutes.

Convert the time completely hours. Then we have

T = 3 + 20/60

T = 3.33 hours

The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be

D = 49 x 3.33

D = 163.33 miles

The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be 163.33 miles.

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The present year is 2014. Which year comes AFTER THE NEXT 3 years?

Answers

The answer to this question is 2017

Answer:

2017 Pls mark me as a brainliest I really need it

The value of the digit 2 in 425.3 is *

Answers

Answer:

20 which is twenty

Step-by-step explanation:

searched it up on chrome

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