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Karo-lina-s [1.5K]
3 years ago
15

Solve these for points I5 - 9I = I5I - I9I =

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
7 0
Hope this will help

Aleksandr-060686 [28]3 years ago
4 0
|5-9| = 4

|5| - |9| = -4
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Let <img src="https://tex.z-dn.net/?f=%5Csf%20a%2Bb%2Ca-b%2Cab%2C%5Cdfrac%7Ba%7D%7Bb%7D" id="TexFormula1" title="\sf a+b,a-b,ab,
Black_prince [1.1K]

Answer:

  • 171/40 or 4 11/40

Step-by-step explanation:

<h3>AP given</h3>
  • a + b, a - b,  ab, a/b
<h3>To find</h3>
  • 6th term
<h3>Solution</h3>

Common difference

<u>Difference of first two</u>

  • d = (a -b) - (a + b) = -2b

<u>Difference of second two</u>

  • d= ab - (a - b)

<u>Difference of last two</u>

  • d = a/b - ab

<u>Now comparing d:</u>

  • -2b = ab - (a - b)
  • ab - a = - 3b
  • a(1 - b) = 3b
  • a = 3b/(1 - b)

and

  • a/b - ab = -2b
  • a(1/b - b) = -2b
  • a = 2b²/(b² - 1)

<u>Eliminating a:</u>

  • 2b²/(b² - 1) = 3b/(1 - b)
  • 2b/(b+1) = -3
  • 2b = -3b - 3
  • 5b = - 3
  • b = -3/5

<u>Finding a:</u>

  • a = 3b/(1 - b) =
  • 3*(-3/5) *1/(1 - (-3/5)) =
  • -9/5*5/8 =
  • -9/8

<u>So the first term is:</u>

  • a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40

<u>Common difference:</u>

  • d = -2b = -2(-3/5) = 6/5

<u>The 6th term:</u>

  • a₆ = a₁ + 5d =
  • -69/40 + 5*6/5 =
  • -69/40 + 240/40 =
  • 171/40 = 4 11/40
8 0
2 years ago
A scientist is studying a certain strain of bacteria that grows at an exponential rate, doubling each cell every 5 minutes. Imag
riadik2000 [5.3K]
Not sure if the question is complete, but if the cell doubles every five minutes, you must first double the one, then simply square the answer every five minutes. 
3 0
3 years ago
Jason decided to look at new trucks. Jason found a used truck for 34,000 dollars. A new truck is 40,000 dollars so what percent
nexus9112 [7]

Answer:

Percent of rise of a new truck on a used truck  = 15%

Step-by-step explanation:

Let x be the percentage of saved money if Jason buying a used truck.

Given:

Price of the used truck = $34,000

Price of the new truck = $40,000

We need to find the percent of rise Jason saves on a used truck rather than buying a new truck

Solution:

Using a percentage formula.

percentage\ cost = \frac{(100-x)}{100}\times Original\ cost

Substitute Percentage cost = 34,000 and Original cost = 40,000 in above formula.

34000 = \frac{(100-x)}{100}\times 40000

34000 = (100-x)\times 400                    (\frac{40000}{100}=400)

Using cross multiplication rule.

(100-x)=\frac{34000}{400}

85=100-x

x = 100-85

x = 15%

Therefore, Jason used 15% rise of a new truck for a used truck.

6 0
3 years ago
The current value of a baseball card is 60 times its original value v
jeka94
60v = $15

60v/60 = $15/60

v = 0.25

The original value of the baseball card is $0.25
5 0
3 years ago
The function d(x)=1375-110 represents the distance a high speed train is from its destination after x hours. How long does the t
aalyn [17]
D(x)=1375-110x
when it reaches 0 it has reached destination
0=1375-110x
add 110x to both sides
110x=1375
divide both sides by 110
x=12.5
answer is 12.5 hour
6 0
3 years ago
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