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borishaifa [10]
3 years ago
7

Name the properties that were used to derive the properties of logarithms.

Mathematics
1 answer:
Sonja [21]3 years ago
5 0
The properties that were used to derive the properties of logarithms are:
1. a^x · a^y = a^(x+y)   2. a^x / a^y = a^(x - y)   3. a^0 = 1   4. a^(-x) = 1 / x   5. (a^x)^y = a^(<span>xy)</span>

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Find the distance between points C(-1, -1) and D(6, 2) to the nearest tenth.
givi [52]

Answer:

≈ 7.6

Step-by-step explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (6, 2)

d = \sqrt{(6+1)^2+(2+1)^2}

  = \sqrt{7^2+3^2}

  = \sqrt{49+9}

  = \sqrt{58} ≈ 7.6 ( to the nearest tenth )

8 0
4 years ago
How many hours equal 2 half hours
11111nata11111 [884]

Answer:

2.5 hours

Step-by-step explanation:

Basically you can see there is 2 hours. Then since there is half an hour left, it will be .5 hours.

So you now have 2.5 hours.

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4 years ago
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Jimmy decides to mow lawns to earn money. The initial cost of his electric lawnmower is ​$350. Electricity and maintenance costs
hodyreva [135]

Answer:

a) C(x) = 4x + 350

b) 13x; $13

c) 39

Step-by-step explanation:

a) Initial cost of lawnmower = $350

Maintenance cost for 1 lawn = $4

Maintenance cost for x lawns = 4x

Total cost function, C(x) = 4x + 350

b) Revenue = Cost + Profit

= C(x) + P(x)

= 4x + 350 + 9x - 350

= 13x

Charge per lawn = \frac{\text{Revenue}}{\text{Number of lawns}}

= \frac{13x}{13} = \$13

c) For Jimmy to make a profit, P(x) must be greater than zero i.e.

P(x) >0

9x-350 >0

9x >350

The smallest integer value of x that satisfies this inequality is 39. Therefore, Jimmy needs to mow 39 lawns in order to start making profit.

6 0
4 years ago
Sophie has mangos and bananas in a ratio of 268:36. How many mangos does she have if she has 9 bananas?
Elina [12.6K]

Answer:

the answer is 67

Step-by-step explanation:

calculator

4 0
3 years ago
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