Find the slope of the line that passes through
the two given points: (2, 3) and (6, -13)

Answer:

120 yatds

Step-by-step explanation:

The height of each vertical beam is approximately 38.16 yards.

Answer:

[tex]\displaystyle \frac{2}{n} \sum_{i = 1}^{n} \left(\left(\frac{2i}{n}\right)^3 - \frac{2i}{n}\right)[/tex]

Step-by-step explanation:

We have the sum:

[tex]\displaystyle \left[\left(\frac{2}{n}\right)}^3-\frac{2}{n}\right]\left(\frac{2}{n}\right)+...+\left[ \left(\frac{2n}{n}\right)^3-\frac{2n}{n}\right]\left(\frac{2}{n}\right)[/tex]

And we want to find the sigma notation that represents the sum.

Note that the leftmost term is the first term while the rightmost term is the last term.

n is the number of terms. Therefore, (2 / n) will stay constant. Hence, we can factor it out of the series:

[tex]\displaystyle =\frac{2}{n}\left(\left[\left(\frac{2}{n}\right)^3-\frac{2}{n}\right]+...+\left[\left(\frac{2n}{n}\right)^3-\frac{2n}{n}\right]\right)[/tex]

Notice the differences between the first term and the last term. The first term is given by [tex]\displaystyle \left(\frac{2}{n}\right)^3- \frac{2}{n}[/tex]. The last term is given by  [tex]\displaystyle \left(\frac{2n}{n}\right)^3- \frac{2n}{n}[/tex]. Because at the last term, our initial term i is equal to n, we can replace the extra n with i for our summation.

Therefore, we can write the following summation:

[tex]=\displaystyle \sum_{i=1}^{n} \frac{2}{n}\left(\left[\left(\frac{2i}{n}\right)^3-\frac{2i}{n}\right]\right)[/tex]

And since (2 / n) is constant:

[tex]\displaystyle = \frac{2}{n} \sum_{i = 1}^{n} \left(\left(\frac{2i}{n}\right)^3 - \frac{2i}{n}\right)[/tex]

Answer:

I'd say the second answer.

Step-by-step explanation:

Answer:

x+14y

Step-by-step explanation:

9x+2y-8x+12y

x+14y

Answer: he needs to put the decimal in front of the 2 so it can be 0.21

Step-by-step explanation:

Answer:

he has to put the decimal point in front of the 2

hope this helps

Answer:

-3z-5t+3g

Step-by-step explanation:

-7(3z+5t-3g)

= -7×3z +( -7×5t)( -7×-3g)

= -21z-35t+21g

divide all elements by 7

= -21÷7 -35÷7+21÷7

= -3z-5t+3g

Answer:

Angle OCB= 35 degrees and Angle BOC= 119

Step-by-step explanation:

ANGLE OCB= 1/2 C (Construction of bisector)

= 1/2 70

= 35

ANGLE OBC= 1/2 B (Construction of bisector)

= 1/2 52

= 26

Therefore, in triangle BOC,

180 degree= ANGLE OBC+ANGLE BOC+ANGLE OCB

180= 35+26+ANGLE BOC

180= 61+ANGLE BOC

ANGLE BOC= 180-61

ANGLE BOC= 119

Answer:

angle ocb=58°

angleboc=96°

Step-by-step explanation:

first get the measure of angle acb which is 58°

this is becoz the total angles in a triangle add up to 180°

angle cbo =26° and angle bco=58°

therefore to get the remaining angle boc ,u add 58 &26 ,then minus from 180

the answer is 96°

Answer:

(3n-2)(n-2)

Step-by-step explanation:

Answer:

no that is not a solution

Step-by-step explanation:

12-x=x or 12-3=3 is not a solution because the answer doesnt make the equation

Graph 1

coordinates : (0,-5) (-6,-2)

m = (y2-y1)/(x2-x1)

m = (-2-(-5))/(-6-0)

m = 3/-6 = -1/2

Substitute the values,

y = mx + c

-2 = (-1/2)(-6) + c

-2 = 3 + c

c = -5

Thus, equation is y = -1/2x -5

Graph 2

coordinates : ( 4,-2) (-5,3)

m = (y2-y1)/(x2-x1)

m = (3-(-2))/(-5-4)

m = 5/-9

Substitute the values,

y = mx + c

-2 = (-5/9)(4) + c

-2 = -20/9 + c

c = 2/9

Thus, the equation is y = -5/9 + (2/9)

Hope it helps :)

Answer:

$973.75

Step-by-step explanation:

7.50x35=262.5

45x9.00=405

25x12.25=306.25

If you add all the sums together you would get $973.75

Answer:

3.14, confirmed on Edge

Step-by-step explanation:

Since this cylinder has a radius of 1 inch, its volume is equal to 3.14 cubic inches.

Given the following data:

Radius of cylinder = 1 inch.

Height of can = 1 inch.

Mathematically, the volume of a cylinder is given by this formula:

[tex]V = \pi r^2h[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]V = 3.14 \times 1^2 \times 1\\\\V=3.14 \times 1[/tex]

V = 3.14 cubic inches.

Read more on cylinder here: brainly.com/question/21367171

Answer:

Step-by-step explanation:

the equation is 3x + 10 + 3x - 28 = 180

Using the uniform distribution, it is found that:

a) The height of the density curve is of 0.25.

b) 31.25% of the time will the light flash more than 3.75 seconds after the subject clicks "Start".

c) The 38th percentile of this distribution is of 2.52 seconds. It means that 38% of the time, the light will go on in at most 2.52 seconds.

Uniform distribution:

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

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

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

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

In this problem, uniform between 1 and 5, hence [tex]a = 1, b = 5[/tex]

Item a:

The height of the uniform distribution is:

[tex]h = \frac{1}{b - a}[/tex]

Hence:

[tex]h = \frac{1}{5 - 1} = 0.25[/tex]

Item b:

[tex]P(X > 3.75) = \frac{5 - 3.75}{5 - 1} = 0.3125[/tex]

0.3125 x 100% = 31.25%

31.25% of the time will the light flash more than 3.75 seconds after the subject clicks "Start".

Item c:

The 38% percentile is x for which P(X < x) = 0.38, hence:

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

[tex]0.38 = \frac{x - 1}{4}[/tex]

[tex]x - 1 = 4(0.38)[/tex]

[tex]x = 2.52[/tex]

The 38th percentile of this distribution is of 2.52 seconds. It means that 38% of the time, the light will go on in at most 2.52 seconds.

A similar problem is given at https://brainly.com/question/15855314

Answer:4%

Step-by-step explanation:

6%-2%=4%

9514 1404 393

Answer:

  (1/5)^8

Step-by-step explanation:

The applicable rules of exponents are ...

  a = a^1

  (a^b)(a^c) = a^(b+c)

__

(1/5)^3 · (1/5)^4 · (1/5) = (1/5)^(3+4+1) = (1/5)^8

  = 1/390625

Answer:

50

Step-by-step explanation:

The measure of the angle ∠A will be 50°. The correct option is A.

Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines. A figure called an angle is one in which two rays originate from the same point. In this area, you could also encounter contrasting and related viewpoints.

Given that the two angles are 85 and 145. The internal angles will be calculated as,

180 - 85 = 95

180 - 145 = 35

The angle A will be calculated as below,
∠A = 180 - 35 - 95

∠A = 50°

To know more about lines and angles follow

https://brainly.com/question/25770607

#SPJ2

✩ Answer:

 ✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*

  [tex]\bold{Hello!}\\\bold{Your~answer~is~below!}[/tex]

✩ Step-by-step explanation:

 ✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*

✺ Turn your information into a fraction by inputting [tex]21.36[/tex] as the numerator and [tex]2[/tex] as the denominator:

✺ Expand [tex]\frac{21.36}{2}[/tex] by multiplying both numerator and the denominator by [tex]100[/tex]:

✺ Reduce the fraction [tex]\frac{2136}{200}[/tex] to lowest terms by canceling out the common factor, [tex]8[/tex]:

✺ Divide the numerator by the denominator:

[tex]Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex[/tex]

             "ටᆼට"

Answer:

the correct answer is not there. here it is:

^y = 0.960x - 89.910

Step-by-step explanation:

we have regression line equation as:

^y = a+bx

we have the following details available

x = 524.88

y = 413.975

Sx = 12.251

Sy = 12.300

r = 0.9562

we have to find values of a and b

b = rSy/Sx

= 0.9562(12.3)/12.251

= 11.76126/12.251

= 0.960

a = y - intercept

= 413.975-0.96(524.88)

= 413.975-503.8848

= - 89.9098

a = -89.910

putting these values into the equation, we have:

^y = -89.910 + 0.9600x

which is also

^y = 0.960x - 89.910

Answer:

hope it helps...

Step-by-step explanation:

25/100 x 79

= 19.75

= 79 - 19.75

= $59.25 (before tax)

7/100 x 59.25

= 414.75/100

= 4.15

= 59.25 + 4.15

= $63.4 (after adding tax)

First we have to take out the percentage of discount and minus it from the total cost . To find the discounted price with tax, we have to take out the percentage of the tax from the discounted amount and add it to the discounted amount to get the total cost.

Answer:

$7600

Step-by-step explanation:

total income = 120,000(.06)+100(4)

total income= 7200+400

total income = 7600

.

Answer:

  16, 29, 7, 9, 36, 33, 24, 12

Step-by-step explanation:

The distance between two points on a number line is the magnitude of the difference between their coordinates. In general, that means you can subtract the coordinate of the left point from the coordinate of the right point to find the distance.

Here, the points are in alphabetical order on the number line, left-to-right, as are the letters in the segment names.  So you subtract the coordinate of the first point of the name from the coordinate of the last point in the name.

This is 8 simple subtraction problems.

a) D - B = -1 -(-17) = 16

b) E - A = 4 -(-25) = 29

c) F - E = 11 -4 = 7

d) I - G = 25 -16 = 9

e) H - C = 23 -(-13) = 36

f) G - B = 16 -(-17) = 33

g) F - C = 11 -(-13) = 24

h) C - A = -13 -(-25) = 12

_____

If you think of it as mileposts on a highway, it should be no surprise that the distance between milepost 4 and milepost 11 is 11 - 4 = 7 miles.

Answer:

The data that we have is:

For each diamond, you earn 100 points.

If you complete the level in less than 2 minutes, you earn a bonus of 75 points.

You want to earn more than 1575 points.

Now, assuming that you want to write and solve n inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.

Because you end in less than 2 minutes, then you have the bonus of 75 points.

Then the number of points as a function of d, the number of diamonds, is:

P(d) = 100*d + 75

And you want that:

P(d) > 1575

100*d + 75 > 1575

Now we can solve this for d.

100d > 1575 - 75

100d > 1500

d > 1500/100

d > 15

You must collect more than 15 diamonds.

Answer:

You have 5 yellow counters left because you can make 4 zero pairs, the zero pairs represent the even amount that when they get added together they cancel out

Step-by-step explanation:

Yellow-1,2,3,4,

Red-1,2,3,4,5,6,7,8,9

Cancel out-1,2,3,4

Left with-5,6,7,8,9