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2 years ago

20 POINTS HELP :)))))))))))))))))))))))))))))))))

Mathematics

2 answers:

noname [10]2 years ago

8 0

12.6j + 8 = 10.2j + 4.4

2.4j = -3.6

j = -1.5

Hope this helps! ;)

bekas [8.4K]2 years ago

4 0

Answer:

$\large\boxed{j=-\dfrac{3}{2}\to j=-1\dfrac{1}{2}\to j=-1.5}$

Step-by-step explanation:

$12.6j+8=10.2j+4.4\qquad\text{subtract 8 from both sides}\\\\12.6j+8-8=10.2j+4.4-8\\\\12.6j=10.2j-3.6\qquad\text{subtract}\ 10.2j\ \text{from both sides}\\\\12.6j-10.2j=10.2j-10.2j-3.6\\\\2.4j=-3.6\qquad\text{divide both sides by 2.4}\\\\\dfrac{2.4j}{2.4}=\dfrac{-3.6}{2.4}\\\\j=-\dfrac{3.6\cdot10}{2.4\cdot10}\\\\j=-\dfrac{36}{24}\\\\j=-\dfrac{36:12}{24:12}\\\\j=-\dfrac{3}{2}\to j=-1\dfrac{1}{2}\to j=-1.5$

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Mandarinka [93]

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4 0

3 years ago

Read 2 more answers

The following data shows the quarterly profit (in thousands of dollars) made by a particular company in the past 3 years.

laiz [17]

Answer:

208.82 ; 61.33

Step-by-step explanation:

Given the data:

Year Quarter Profit ($1000s)

1 1 45

1 2 51

1 3 72

1 4 50

2 1 49

2 2 45

2 3 79

2 4 54

3 1 42

3 2 58

3 3 70

3 4 56

The 3 period moving average :

Yr Qtr Profit ($1000s)Pt ____ Ft ____ e=(PT-Ft)²

1 _ 1 ___45 __

1 _ 2 __ 51 __

1 _ 3 __ 72 __

1 _ 4 __ 50 ______________56 ____ 36

2 _ 1 __ 49 ______________57.67__ 75.17

2 _ 2__ 45 ______________57 ____ 144

2 _ 3__ 79 ______________48 ____961

2 _ 4__ 54 ______________57.67 _ 13.47

3 _ 1__ 42 ______________59.33__300.33

3 _2 __ 58 ______________58.33__ 0.11

3 _ 3__ 70 ______________51.33__ 348.57

3 _ 4 __56 ______________56.67__0.45

MSE = Σ(Pt - Ft)² ÷ n

MSE = (36+75.17+144+961+13.47+300.33+0.11+348.57+0.75) ÷ 9

= 208.82

Forecast for next quarter :

(58 + 70 + 56) / 3 = 184 /3 = 61.33

8 0

3 years ago

If you roll two four-sided dice numbered 1, 2, 3, and 4), what is the probability that the sum of the dice is 7? Enter a fractio

Anna [14]

The probability that the sum of the dice is 7 is 1/2 because there are only three combinations that result in the sum of 7: (1,6)(2,5) and (3,4). But there are 6 possible outcomes( this is if you don’t add reverse combinations such as 1,6 and 6,1) so the probability would be 3/6 or 1/2

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3 years ago

Provides a unique set of guidelines that can be applied to any triangle. The guidelines demonstrate a clear understanding of app

Oksi-84 [34.3K]

we can have a triangle and we know that there are two angles.

30º and a 45º + 105 =180º angle. applying the sides.

therefore if we have the whole triangle completed we have a constant triangle.

so it tell us we can you’se SOH CAH TOA

we can varrify what kind of triangle we are using.

for example if we were to use Sin I would do

Sin 30/ 2 = sin of 105º/ A = sin=45º/ B

if you would want to solve for sin 30/2 and sin 105, then we solve.

or Sin 30/2 and Sin 105 as well.

with your calculator use sin= 30=.5 and use sin 105º a divide by 1.5 on both sides 1.5= A /sin 105º * 1.5 answer would be 3.86. a is = to 3.86 (Not the answer)

5 0

3 years ago

Pentagons STUVW and XYZAB are similar with XY=32, YZ=36, ST= 4c + 2 and TU= 5c + 2, find the length of ST

MakcuM [25]

Answer:

ST = 4

Step-by-step explanation:

If the pentagons are similar, the ratio between a pair of sides of one pentagon is the same ratio for the similar pair of sides of the second pentagon, so we have that:

XY / YZ = ST / TU

32 / 36 = (4c + 2) / (5c + 2)

8 / 9 = (4c + 2) / (5c + 2)

8*(5c + 2) = 9*(4c + 2)

40c + 16 = 36c + 18

4c = 2

c = 0.5

So the length of ST is:

ST = 4c + 2 = 4*0.5 + 2 = 4

7 0

3 years ago