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disa [49]
3 years ago
15

On a number line, A is at -2 and B is at 4. What is the coordinate of C, which is 2/3

Mathematics
1 answer:
STatiana [176]3 years ago
7 0

Answer:

  2

Step-by-step explanation:

The distances have the ratio:

  (C -A) = (2/3)(B -A)

  C = (2/3)B +(1/3)A . . . . . add A

  C = (2B +A)/3 . . . . . . . . combine terms

  C = (2(4) +(-2))/3 = 6/3 = 2

The coordinate of C is 2.

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which sequences are arithmetic? check all that apply. –8.6, –5.0, –1.4, 2.2, 5.8, … 2, –2.2, 2.42, –2.662, 2.9282, … 5, 1, –3, –
sergiy2304 [10]
In an arithmetic sequence, the next term is found by adding a constant term to each number to arrive at the next number. The common difference can be found by subtracting the first term from the second term.

-8.6, -5.0, -1.4, 2.2, 5.8....the common difference here is 3.6
-8.6 + 3.6 = -5.0
-5.0 + 3.6 = -1.4
1.4 + 3.6 = 2.2
2.2 + 3.6 = 5.8
so this IS an arithmetic sequence.

2,-2.2, 2.42, -2.662, 2.9282...there is no common difference..so this is not an arithmetic sequence

5,1,-3,-7,-11....common difference is -4
5 + (-4) = 1
1 + (-4) = -3
-3 + (-4) = -7
-7 + (-4) = -11
this IS an arithmetic sequence

-3,3,9,15,21...common difference is 6
-3 + 6 = 3
3 + 6 = 9
9 + 6 = 15
15 + 6 = 21
this IS an arithmetic sequence

-6.2, -3.1, -1.55, -0.775, -0.3875...this is not an arithmetic sequence
4 0
3 years ago
Read 2 more answers
Etsy is an e-commerce website focused on handmade or vintage items and supplies, as well as unique factory-manufactured items. A
inysia [295]

Answer:

Step-by-step explanation:

given that Etsy is an e-commerce website focused on handmade or vintage items and supplies, as well as unique factory-manufactured items. A shop owner on Etsy sells printed t-shirts and she wants to know what level of inventory she should maintain for the month of January. She gathers the January inventories of 8 other shop owners who sell printed t-shirts on Etsy. Their t-shirt inventories are listed below.

59 84 90 54 42 45 77 85

a) Mean = total /8 = 536/8 = 67

For median arrange in ascending order

42 45 54 59 77 84 85 90

Middle entries are 59 and 77

b) Median = average of 59 and 77 = 68

c) If highest changes to 100, data set becomes

42 45 54 59 77 84 85 100

sum increases by 10 i.e. 546

Mean = 546/8 = 68.25

Median will not change remain the same = 68

Mean increases and median stays the same

d) If Var = 369.1429

std dev = square root of variance

= 19.2131

e) Part b answer is the II quartile

f) Mean = 67 and median = 68

Mean < median

So negatively skewed shape

7 0
3 years ago
A regular octagonal pyramid. Each side of the base is 6 cm long. it has a height of 10cm. Find the surface area of the pyramid​
attashe74 [19]

9514 1404 393

Answer:

  470.16 cm²

Step-by-step explanation:

The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.

The apothem of the base for side length s is ...

  s/2 = a·tan(π/8)

  a = s/(2·tan(π/8)) ≈ 7.24 cm

The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...

  x² = 10² + a² = 100 +52.46

  x ≈ √152.46 ≈ 12.35

__

The area of the 8 triangular faces will be ...

  A = 1/2Px . . . . where P is the perimeter of the pyramid

The area of the base will be ...

  A = 1/2Pa

So, the total surface area is ...

  A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²

8 0
3 years ago
Read 2 more answers
-2a3 - 3a2 + 4a + 6, 2a3 + 5a2 + 7 <br> sum the expression
zavuch27 [327]

Answer:

2a2 + 4a + 7

Step-by-step explanation:

As, - (2a3 - 3a2 + 4a + 6) + (2a3 + 5a2 + 7)

= 2a2 + 4a + 13

5 0
3 years ago
On a coordinate plane, 2 lines intersect around (0.4, 2.8). The graph on the left represents a system of equations. How can the
kompoz [17]

Answer:

How can the solution be located?

find the intersection

Which integers is the x-coordinate between?

0 and 1

Which integers is the y-coordinate between?

2 and 3

What is the solution approximated to the tenths place?

(0.4,2.8)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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