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11 days ago

11

Use complete sentences to describe how logarithms can aid in difficult calculations.

2 answers:

babunello [11.8K]11 days ago

6 0

Response:

Detailed explanation:

Using logarithms simplifies calculations involving extremely large or small figures

. In logarithmic operations, multiplication transforms into addition, while division turns into subtraction.

Furthermore, when applying logarithms to base 10, any number can be raised to the power of 10, simplifying the log process.

For instance, to compute the expression 2329x5265/31500

, we can employ logarithms. The computation would be log 2329 + log 5265 - log 31500, followed by calculating the antilog to arrive at the result

. Similarly, for determining the cube root of 2500, we find 1/3 log 2500 and then take the antilog.

Hence, challenging calculations become significantly simpler

.

Svet_ta [12.7K]11 days ago

4 0

Initially, it is important to grasp that logarithms enable individuals to express a number as the exponent of a particular base. One practical application of logarithms occurs in calculating the pH level of a substance, represented by the formula,
pH = -log[H+].

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What additional information could be used to prove ΔEFG ΔE'F'G' using AAS? Check all that apply. EG = 12 and E'G' = 12 FG = 15 a

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$\Delta EFG\cong\Delta E'F'G'$

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1 month ago

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29 days ago

"The difference between five-halves of a number<br> and 17 is 48."

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28 days ago

There are 130 people in a sport centre. 73 people use the gym. 62 people use the swimming pool. 58 people use the track. 22 peop

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7 days ago

the graph shows your budget and the total cost of x gallons of gasoline and a car wash you want to determine the possible amount

lawyer [12517]

Answer:

Part a) Your budget is $40.

Part b) The price for one gallon of gasoline is $3.55, while a car wash costs $8.

Part c) $x \leq 9.01\ gal$

Part d) Refer to the explanation below.

Step-by-step explanation:

Please see the complete question in the attached image.

Part a) The budget is expressed by the equation

y = 40

therefore,

Your budget amounts to $40.

Part b) In terms of costs, how much is a gallon of gasoline and what is the car wash price?

Let

y ------> denote the total cost for a gallon of gasoline along with a car wash

x -----> define the volume of gasoline in gallons

We can express the relationship as

y = 3.55x + 8

For calculations, when x = 0, we have:

y = 3.55(0) + 8 = 8

The y-intercept signifies the cost of the car wash, being $8.

Now, to identify the price of one gallon of gasoline:

We know the slope of the linear function is

m = $3.55 per gallon

This confirms that a gallon of gasoline costs $3.55.

Part c) Formulate an inequality representing the potential quantity of gasoline you can purchase:

We have:

$3.55x+8 \leq 40$

Now, solve for x:

$3.55x \leq 40-8$

$3.55x \leq 32$

$x \leq 9.01\ gal$

Part d) Utilize the graph to determine the solution of the inequality from part c)

We can set up the system:

y = 40

y = 3.55x + 8

The solution lies at the intersection of both graphs. By observing the graph, the intersection appears to be around (9, 40).

This indicates that the maximum volume of gasoline purchasable within your budget is approximately 9 gallons.

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1 month ago