Find the next term in this
arithmetic sequence.

Answer:

66, 114, 114

Step-by-step explanation:

angle 3=angle 1=66

angle 2=angle 4=180- angle 3=114

The mark price of the pen is 120 rs

The first step is to write out the parameters given the question

Discount= 15%

Gain= rs 10

Discount= 15%

loss= rs

When a pen is sold at a discount of 15% there is a gain of rs 10

When the pen is sold at 25% discount there is a loss of rs 2

The mark price of the pen can be calculated as follows

15% = c.p + 10 rs

25 % = c.p - 2 rs

25%-15% = 10 rs +2 rs

10% = 12 rs

10/100 = 12 rs

0.1= 12 rs

12/0.1

= 120 rs

Hence the mark price of the pen is 120 rs

Please see the link below for more information

https://brainly.com/question/17109020?referrer=searchResults

Mark Price: RS. 120

The Gain Function is the difference between Resulting Price, which is the Mark Price including Discount Rate, and the Reference Price, where positive result represents Net Gain, as negative result represents Net Loss. Gain Function is described below:

[tex]G = \left(1-\frac{r_{D}}{100} \right)\cdot P_{M}-P_{R}[/tex] (1)

Where:

[tex]G[/tex] - Gain function, in monetary units.

[tex]r_{D}[/tex] - Discount rate, in percentage.

[tex]P_{M}[/tex] - Mark price, in monetary units.

[tex]P_{R}[/tex] - Reference price, in monetary units.

The Mark Price of the pen is the price shown on the label of the product, whereas the Reference Price is the purchase cost of the product from provider.

Based on what it is written on statement we have the following system of linear equations:

1) When a pen is sold at a discount of 15 %. There is a gain of RS. 10: ([tex]G = 10[/tex], [tex]r_{D} = 15[/tex])

[tex]\left(1-\frac{15}{100} \right)\cdot P_{M} - P_{R} = 10[/tex] (2)

2) But if it is sold at 25 % discount there is a loss of RS. 2: ([tex]G = -2[/tex], [tex]r_{D} = 25[/tex])

[tex]\left(1-\frac{25}{100} \right)\cdot P_{M} - P_{R} = -2[/tex] (3)

The solution of the resulting system of linear equations is:

[tex]P_{M} = 120[/tex], [tex]P_{R} = 92[/tex]

The mark price of the pen is RP. 120.

Answer:

81/16

Step-by-step explanation:

(⅔)-⁴

81/16

= 5.0625

Answer:

3/4 more hours

Step-by-step explanation:

Hours taken to clean bedroom = 5/4

Hours taken to clean den = 1/2

How much more = 5/4 - 1/2

5-2/4 (common denominator)

3/4 more hours (It's a propper fraction, so we can't write it as a mixed number)

Answer from Gauthmath

Answer:

18.84

Step-by-step explanation:

Answer:

18.84

Step-by-step explanation:

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

Explanation:

The two points mentioned in bold are midpoints of segments AB and AC respectively.

To find the coordinates of a midpoint, you add up the x coordinates and divide by 2. Do the same with the y coordinates.

For example, points A and B are at (7,6) and (1,-2)

If we add up the x coordinates and divide by 2, then we get (7+1)/2 = 4. Do the same for the y coordinates to get (6+(-2))/2 = 2. So that's how (4,2) is the midpoint of segment AB. You'll use similar logic to find that (8,2) is the midpoint of segment AC.

A slight alternative is that once you find one midpoint is (4,2), you can draw a horizontal line until you reach (8,2). We're using the idea that the midsegment is parallel to BC which is also horizontal.

The sum of the faces is going to fall in the range {2, 3, 4, …, 12}, which contains five prime numbers {2, 3, 5, 7, 11}. You can only have one sum at a time, so these outcomes are mutually exclusive. Then

Pr[sum is prime] = Pr[sum = 2] + Pr[sum = 3] + … + Pr[sum = 11]

• sum = 2 can only happen in 1 way (1 + 1)

• sum = 3 can happen in 2 ways (1 + 2, 2 + 1)

• sum = 5 can happen in 4 ways (1 + 4, 2 + 3, 3 + 2, 4 + 1)

• sum = 7 can happen in 6 ways (1 + 6, 2 + 5, …, 6 + 1)

• sum = 11 can happen in 2 ways (5 + 6, 6 + 5)

There are a total of 6² = 36 possible sums that can be rolled, each with probability 1/36 of occurring, so the probability of getting a prime sum is

(1 + 2 + 4 + 6 + 2)/36 = 15/36 = 5/12

Answer:

x = 50

Step-by-step explanation:

I guess, this diagram tells us that the lines are parallel.

that means that they cut the third line at the exact same angles.

and that means

3x - 26 = 2x + 24

x - 26 = 24

x = 50

3x-26=2x+24

3x-2x=24+26

x=50

please mark this answer as brainlist

Answer:

it lies between P and R because I tootk the test

Answer:

170.54m²

Step-by-step explanation:

there are three shapes

triangle: is 1/2*3*5=7.5

square is 6*5=30

circle=3.14*6²=133.04

7.5+30+133.04=170.54

answer is 170.54

Answer:

n = 9

Step-by-step explanation:

20.75 = 1.75n + 5

20.75 - 5 = 1.75n

15.75 = 1.75n

-------     -------

1.75       1.75

  9    =     n

Answer: [tex]\Large\boxed{h(x)=x-5}[/tex]

Step-by-step explanation:

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppp\displaystyle\ \Large \boldsymbol{} h(x)=\frac{f(x)}{g(x)} =? \\\\\\f(x)=x^2-8x+15\\\\\\x^2-8x+\underbrace{15+1-1}_{15}=0 \\\\\\\underbrace{x^2-8x+16}_{(x-4)^2}-1=0 \\\\\\(x-4)^2-1\Longrightarrow f(x)=(x-5)(x-3)[/tex]                                                     [tex]\displaystyle\ \Large \boldsymbol{} h(x)=\frac{(x-3)(x-5)}{(x-3)}=\boxed{x-5}[/tex]                                          

Hello!

Sharpened => 35

Unsharpened => 84-35 = 49

Good studies!

Answer:

7: 5

Step-by-step explanation:

unsharpened to sharpened

First we need to determine the number of unsharpened

84 - 35 =49

There are 35 sharpened

49:35

Divide each by 7

49/7 : 35/7

7: 5

Answer:

i dont know man

Step-by-step explanation:

i dont know

Answer:

112

Step-by-step explanation:

The volume is given by l*b*h=4*4*7=112

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle \Large \boldsymbol{} a_1=70 \ ; \ d=-5 \\\\S_n=\frac{a_1+a_n}{2} \cdot n \ ; \ a_n=a_1+(n-1)d \Longrightarrow \\\\\\ S_{30}=\frac{70+70-29\cdot5}{2} \cdot 30 =-75 \\\\\\Answer: S_{30}=-75[/tex]

i am not getting it what are you asking

Answer:

The answer is "[tex]\bold{f(n) = 70n + 5}[/tex]"

Step-by-step explanation:

The complete question is defined in the attached file Please find it.  

She started driving further east, 70 kilometers an hour, 5 km east of her home. Allow f(n) at the outset of its nth hour drive to just be Prachi's length from home.

F is a series of arithmetic.

Construct the series with an explicit formula.

[tex]\bold{f(n) = 70n + 5}[/tex]

Answer:

Arithmetic and it is f(n)=5+70(n-1)

Step-by-step explanation:

Khan Academy

Answer:

Step-by-step explanation:

I am going to assume that you are doing this on your calculator using the stat button as opposed to having to find it by hand which is so extremely long and drawn out, you'd be dead by the time we found the equation...

The equation of the line of best fit is

y = 1.383x - 1.526

I would explain to you how to do that, but it's a very involved process on your calculator. Find out how to do it and it's the easiest thing in the world!!!

The required equation of the line is y = 0.667x + 2.334

From the table given equation of the line is determined.
x = 4  7  10  12  13
y = 5  7  12  14  18

A line is a curve showing the shortest distance between 2 points.

Standard equation of line, y =mx + c
The slope of equation m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and c is y intercept.
                                m  = 7-5/7-4
                                m = 2/3
Now put m in the standard equation
y = 2x/3 + c  - - - - -(1)
to find the value of c we will put a point  (7, 7) in the equation.

7 = 7*2/3 + c
c = 7 - 14/3
c = (21-14)/3
c = 7/3
Put c in equation 1
y = 2x/3 + 7/3
y = 0.667 x +2.334

Thus, The required equation of the line is y = 0.667 x +2.334

Learn more about lines here:

brainly.com/question/2696693

#SPJ5

Answer:

oi ngl levi is hawt I like your pfp ^^

Step-by-step explanation:

my name is Riley

Answer

The IQR of the data set is 368.

Explanation

To find the interquartile range, you first need to find the median of the data set. Then, you find the median of the median and subtract them. This might be a little confusing but I'll walk through everything.

First, put the data set in order from least to greatest; 21 78 90 111 381 456 676. Find the median. The median of this data set is 111, since it is the middle number when the data set is ordered from least to greatest.

To find the Q1 and Q3 of the set, you have to find the median of the median.

The set right now is 21 78 90 111 381 456 676. Remove the 111 (if there were an even amount of numbers in the set, you wouldn't remove the 111 and you would just split the data set in half). Now you have two sets: 21 78 90 and 381 456 676. The median of the first set is 78 (this is the Q1) and the median of the second set is 456 (this is the Q3).

To find the interquartile range, subtract the Q1 from the Q3. 456-78=368.

Answers:

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

Explanation:

Refer to the diagram below.

The segment AB is the player's height of 6 ft.

The segment CD is the hoop's height, which is 10 ft.

There is a point E on CD such that rectangle BACE forms. This will help us form ED later.

Angle EBD is what we're after, which I'll call x.

Since the free throw line is 15 ft from the basket, this means segments EB and AC are 15 ft each.

In rectangle BACE, the side EC is opposite AB. So both of those sides are 6 ft each.

Since CD = 10 and EC = 6, this must mean ED = CD-EC = 10-6 = 4.

---------------------------------------

To summarize, we found that ED = 4 and EB = 15.

We'll focus our attention entirely on triangle EBD

We have two known legs of the triangle, specifically the opposite and adjacent sides.

So we'll use the tangent ratio.

tan(angle) = opposite/adjacent

tan(B) = ED/EB

tan(x) = 4/15 .... is the equation to solve

x = arctan(4/15) .... same as inverse tangent or [tex]\tan^{-1}[/tex]

x = 14.931417 ..... make sure to be in degree mode

x = 15 ..... rounding to the nearest whole degree

So that unknown angle in the diagram is approximately 15 degrees

Answer:

x=10

Step-by-step explanation:

I hope this will help you

Answer:

4

Step-by-step explanation:

y = kx

Use point (3, 12).

12 = k * 3

k = 12/3 = 4

y = 4x

Answer: 4

Divide y by x:

12/3 = 4

36 / 9 = 4

The constant of variation is 4

Answer:

You have reached the concluding section of our information about (7/60)×π rad to deg.

7pi/60 rad = 21°.

The radian measure is the standard unit of measure in the areas of math involving a circle like the sine and cosine function, just to name two trigonometric functions.

Using our calculator, formula and information, you have everything for changing the angle measurement at your disposal.

If you have found our post searching for 7pi/60 radian to degrees or a similar term, then you have gotten your answer as well: 7pi/60 rad ⇔ 21°.

Answer:210

Step-by-step explanation: took the test

Answer:

C, 40 degrees

Step-by-step explanation:

All the angles of a triangle add to 180 degrees according to the Triangle Sum Theorem.

Since all angles sum to 180, we can set all the values to add to 180.

We have:

[tex]2y+y+10+50=180[/tex]

Combining like terms, we have:

[tex]3y+60=180[/tex]

Subtracting 60 from both sides gets us

[tex]3y=120[/tex]

Dividing by 3 from both sides equals

[tex]y=40[/tex]

Answer:

I think the value of y is 40

Step-by-step explanation:

Answer:

900pi

Step-by-step explanation:

formula for sphere's surface area :

4πr^2

radius = 15 (30/2)

4*pi*15^2 = 900pi

Answer:

The surface area is 2827.43

Step-by-step explanation:

This is the formula:

A= 4 π r^2= 4· π· 15^2 = 2827.43339

Hope this helps you!

Initial value is your y intercept, and to find that you just need to substitute 0 for x. Anything to the power of 0 is just 1. So you get 34.2(1), which means that your initial value is 34.2.