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givi [52]
3 years ago
5

Fill in the missing values to make the equations true.

Mathematics
1 answer:
azamat3 years ago
5 0

Step-by-step explanation:

Some of the property of log are as follows :

1. \text{log a}-\text{log b}=\text{log} \dfrac{\text{a}}{\text{b}}

2. \text{log a}+\text{log b}=\text{log}(a{\cdot} b)

3. \text{log}a^n=n\ \text{log} a

Now coming to question,

(a) \text{log 5}-\text{log 8}=\text{log} \dfrac{\text{5}}{\text{8}} (using property 1)

(b) \text{log 1}+\text{log 3}=\text{log}(1{\cdot} 3)=\text{log} 3 (using property 2)

(c) \text{log} 4=\text{log} 2^2=2\ \text{log} 2 (using property 3)

Hence, this is the required solution.

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Find the discriminant of x^2+6x+13=0. What does this number tell you about how many real solutions there are to the equation? Sh
Lana71 [14]
Discriminant = sq root of b^2 - 4*a*c =
sq root of 36 - 4*1*13 =
sq root 36 -52 =
sq root 36 -52 =
sq root -16
There are no real solutions for this equation.  Both roots are complex numbers.








5 0
3 years ago
Read 2 more answers
The strip below is divided into 10 equal parts. Fill in the missing fractions and percentages.Note that your fractions don't nee
boyakko [2]

Answer:

1. First box, the missing fraction = 1/10

2. For the 2nd box

a. The missing fraction = 3/10

b. Percentage = 30%

3. For 7/10

Percentage = 70%

Step-by-step explanation:

From the question given above, the following data were obtained:

The strip is divided into 10 equal parts.

1. For the first box:

The missing fraction = 1/10

2. For the 2nd box

a. The missing fraction = 3/10

b. Percentage = 3/10 × 100 = 30%

3. For 7/10

Percentage = 7/10 × 100 = 70%

7 0
3 years ago
A bag contains yellow marbles and blue marbles, 37 in total. The number of yellow marbles is 7 more than 5 times the number of b
Mazyrski [523]

Answer:

32

Step-by-step explanation:

let b represent the number of blue marbles then

yellow = 5b + 7 and

b + 5b + 7 = 37, that is

6b + 7 = 37 ( subtract 7 from both sides )

6b = 30 ( divide both sides by 6 )

b = 5

Thus there are 5 blue and 5(5) + 7 = 25 + 7 = 32 yellow marbles

5 0
3 years ago
This table shows a family's monthly budget. What percentage of the budget is allocated for entertainment? Round to the nearest t
lutik1710 [3]

Answer:

A)4.1%

Step-by-step explanation:

First you need to add all the payments together to get your total.

1400+300+150+800+300+150+100+100+150+200=3650

Then you cross multiply and divide to get the percentage.

\frac{entertainment}{total} \frac{150}{3650}=\frac{x}{100}

When you cross multiply and divide x≈4.1

8 0
3 years ago
Read 2 more answers
5 inches is what fraction of a foot
ipn [44]

Answer:

5/12

Step-by-step explanation:

3 0
3 years ago
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