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alexdok [17]
3 years ago
6

How to solve for j -10=║j-7║

Mathematics
1 answer:
Aleksandr [31]3 years ago
6 0

Answer:

No solutions.

Step-by-step explanation:

-10 = 7

No solutions

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Solve this problem pls ​
lina2011 [118]

Answer:

1) 200.

Step-by-step explanation:

Men = 1/³

Women = ⅔

50 men, 100 women

2:1 women to men.

there are 200 people in total.

5 0
2 years ago
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If the following data were linearized using logarithms, what would be the equation of the regression line? Round the slope and y
Elis [28]

Answer:

  • log y = 0.576x + 0.139

Step-by-step explanation:

<u>Given data:</u>

  • <u>x  |  2   |   3   |  4    |   5      |  6     </u>
  • y  | 21   |  69 | 261  | 1029  |  4101​

<u>Logarithms of y-values:</u>

  • log 21 = 1.322
  • log 69 = 1.839
  • log 261 = 2.417
  • log 1029 = 3.012
  • log 4101 = 3.613

<u>The ordered pairs:</u>

  • (2, 1.322), (3, 1.839), (4, 2.417), (5,3.012), (6, 3.613)

<u>Using an online calculator found the equation of the regression line:</u>

  • y = 0.576x + 0.139

<u>In our case it is:</u>

  • log y = 0.576x + 0.139

7 0
3 years ago
jon used a gift card to pay for an $18 shirt.The remaining balance on the card is $28.write and solve an equation that represent
denis-greek [22]

Take note that they spent $18 afterwards having $28 on the card so they're spending money off the card so...

x-18=28

would be the equation for this and to solve do the following.

First add 18 to both sides making the equation.

x=46

7 0
3 years ago
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Using the laws of logic to prove tautologies.Use the laws of propositional logic to prove that each statement is a tautology.a.
Anika [276]

Answer:  The proofs are given below.

Step-by-step explanation:  We are given to prove that the following statements are tautologies using truth table :

(a) ¬r ∨ (¬r → p)                              b. ¬(p → q) → ¬q

We know that a statement is a TAUTOLOGY is its value is always TRUE.

(a) The truth table is as follows :

r                 p                 ¬r                       ¬r→p                     ¬r ∨ (¬r → p)

T                T                   F                         T                                T

T                F                   F                         T                                T

F                T                   T                         T                                T

F                F                   T                         F                                T  

So, the statement (a) is a  tautology.

(b) The truth table is as follows :

p                 q                 ¬q                       p→q             ¬(p→q)          ¬(p→q)→q

T                T                   F                         T                      F                    T

T                F                   T                         F                      T                    T

F                T                   F                         T                      F                    T

F                F                   T                         T                       F                   T

So, the statement (B) is a  tautology.              

Hence proved.

6 0
3 years ago
Find an equation equivalent to r = 10 sinθ in rectangular coordinates
Flura [38]

Answer:

x^{2} + y^{2} - 10\cdot y = 0

Step-by-step explanation:

The following expressions are used to transform from polar into rectangular form:

r = \sqrt{x^{2}+y^{2}}

\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}

Now, the variables are substituted and equation is finally simplified:

\sqrt{x^{2}+y^{2}} = 10\cdot \frac{y}{\sqrt{x^{2}+y^{2}} }

x^{2}+y^{2} = 10\cdot y

The equivalent equation in rectangular coordinates is:

x^{2} + y^{2} - 10\cdot y = 0

8 0
3 years ago
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