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3 years ago

Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary. 3 log 2x = 4

Mathematics

1 answer:

ch4aika [34]3 years ago

7 0

3 log 2x = 4

==> log 2x = 4/3

==> 2x = 10^(4/3)

==> x = \frac{10^(4/3)}{2}

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Of the cars sold during the month of July, 89 had air conditioning, 99 had an automatic transmission, and 74 had power steering.

DedPeter [7]

Answer:

There are a total of 23 cars with air conditioning and automatic transmission but not power steering

Step-by-step explanation:

Let A be the cars that have Air conditioning, B the cars that have Automatic transmission and C the cars that have pwoer Steering. Lets denote |D| the cardinality of a set D.

Remember that for 2 sets E and F, we have that

$|E \cup F| = |E| + |F| - |E \cap F|$

Also,

|E| = |E ∩F| + |E∩F^c|

We now alredy the following:

|A| = 89

|B| = 99

|C| = 74

$|A \cap B \cap C| = 5$

|(A \cup B \cup C)^c| = 24

|A \ (B U C)| = 24 (This is A minus B and C, in other words, cars that only have Air conditioning).

|B \ (AUC)| = 65

|C \ (AUB)| = 26

$|B \cap C| = 11$

We want to know |(A∩B) \ C|. Lets calculate it by taking the information given and deducting more things

For example:

99 = |B| = |B ∩ C| + |B∩C^c| = 11 + |B∩C^c|

Therefore, |B∩C^c| = 99-11 = 88

And |A ∩ B ∩ C^c| = |B∩C^c| - |B∩C^c∩A^c| = |B∩C^c| - |B \ (AUC)| = 88-65 = 23.

This means that the amount of cars that have both transmission and air conditioning but now power steering is 23.

3 0

3 years ago

Last week, Peter ran 3 1/5 laps around the lake. Isaac ran 1 1/4 times as many laps around the lake as Peter did. How many laps

vlabodo [156]

Answer:

4 laps

Step-by-step explanation:

$3 \frac{1}{5} * 1 \frac{1}{4} =$

$\frac{16}{5} * \frac{5}{4} = \frac{80}{20} =4$

Isaac ran 4 laps.

4 0

3 years ago

Ms Hogan has more than 20 students in her class.

ELEN [110]

Answer:

The answer is most likely 29

Step-by-step explanation:

you can have 5 groups of 5 with 4 left over, and 7 groups of 4 with one left over.

7 0

3 years ago

HELP! it’s short you don’t have to explain

Annette [7]

Answer:

Hope this helped:)

5 0

3 years ago

At the donut shop,Kari had to get 3 dozen donuts.2/6 were cake donuts,1/6 were glazed donuts, and the rest were frosted donuts.H

larisa86 [58]

Kari got 36 donuts in total.

2/6 = 12/36 cake donuts
1/6 = 6/36 glazed donuts
3/6 = 18/36 frosted donuts

Kari got 12 cake donuts, 6 glazed donuts, and 18 frosted donuts. Hope this helps!

4 0

3 years ago