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AVprozaik [17]
1 year ago
8

How do I write log7t as a base 2 logarithm?

Mathematics
2 answers:
olga_2 [115]1 year ago
4 0

Answer:

log2t/log2^7

Step-by-step explanation:

(what the other dude said)

irina [24]1 year ago
3 0

Given:

The value is \log_7t.

To find:

The value as a base 2 logarithm.

Solution:

We know that,

\log_xy=\dfrac{\log_ay}{\log_ax}

where, a is any positive value.

We have,

\log_7t

Using the above property of logarithm, we get

\log_7t=\dfrac{\log_at}{\log_a7}

For a=2,

\log_7t=\dfrac{\log_2t}{\log_27}

Therefore, the given value as a base 2 logarithm can be written as \dfrac{\log_2t}{\log_27}.

You might be interested in
-5 + 3g + (-3) - 8g = -18
Greeley [361]

Answer:

the answer is g=2

Step-by-step explanation:

hope this helps!!!

3 0
2 years ago
Davion wants to buy 4 tickets to a basketball game. He sees that there is a discount for $25 off his entire purchase at checkout
KATRIN_1 [288]

Answer:

$60 per ticket

Step-by-step explanation:

$215 is what it costs after the discount, so add the amount taken off, back on.

215+25

 240

Then, divide by 4 to find the cost of each individual ticket.

240/4

60

Hope it helps!

6 0
2 years ago
Noah is writing an exam for his 8th grade students. The exam is worth 100 points and Noah wants 35 questions on the exam. He pla
MaRussiya [10]

Answer: the system of equations are

x + y = 35

3x + 2y = 100

Step-by-step explanation:

Let x= the number of short answer questions.

Let y= the number of multiple choice questions.

Noah wants 35 questions on the exam. This means that

x + y = 35

He plans to mix short answer questions, worth 3 points, with multiple choice questions worth 2 points. This means that x short answer questions will give 3x points and y multiple choice questions will give 2y points

Since the exam is worth 100 points, then,

3x + 2y = 100 - - - - - - - -1

Substituting x = 35 - y into equation 1, it becomes

3(35 - y) + 2y = 100

105 - 3y + 2y = 100

y = 105 - 100 = 5

x = 35 - y = 35 - 5

x = 30

3 0
2 years ago
A bee flies at 9 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 13 ​minutes, and then
Usimov [2.4K]

Answer: 576 feet

Step-by-step explanation:

You have to do a little subtracting and a little interpreting to get the answer. First you must assume that the bee travels in a straight line. This is math so we can assume this is true, although thousands would disagree.

Second you must assume that because it is loaded with nectar that it travels at a slower rate (not an unreasonable assumption).

Third you have to assume that the distance there is the same distance as coming back. Again this is math. We can make this assumption.

Find the travelling time.

The bee spends 12 minutes hunting down the nectar in the flowerbed. Since it was away from the hive for a total of 16 minutes, the travelling time is

16min - 12min = 4 min

Convert the Minutes to seconds.

1 minute = 60 seconds

4 minutes = 4*60 = 240 seconds.

Find the time each way.

The total time is 240 seconds, but it is not divided evenly.

Let the time there = t

Let the time back = 240 - t

The distances are the same.

r = 6 m/s

r1 = 4 m/s

t1 = t

t2 = 240 - t

dthere = dback

d = rate * time

6 m/s *t = 4 m/s (240 - t)      Remove the brackets on the right.

6 * t = 4*240 - 4t                  Combine the like terms on the right.

6t = 960 - 4t                         Add 4t to both sides

6t + 4t = 960 - 4t + 4t          Combine

10t = 960                              Divide both sides by 10

10t/10 = 960/10                    Do the division

t = 96                                    Time going to the flower bed

Find the distance

d = ?

r = 6 m/s

t = 96 second

d = r*t

d = 6 * 96 = 576 feet Answer

5 0
2 years ago
a man who weighs approximately 140 pounds has two,12 ounce beers and one 1 1/2 oz. shots of liquor in one hour. what is his esti
Alinara [238K]
The <u>correct answer</u> is:

0.08.

Explanation:

To calculate the BAC, we first find the amount of alcohol (in grams) of the drinks.  In the US, a standard drink has 14 g of alcohol.  The man has 2 beers and 1 shot; this is 3 standard drinks:
3*14 = 42

This has 42 g of alcohol.

Next we convert the weight in pounds to grams.  We do this by multiplying by 454:
140*454 = 63560

Next we multiply by the gender constant.  For men, this is 0.68:
63560(0.68) = 43220.8

We divide the grams of alcohol by this number:
42/43220.8 = 0.000972

Multiply this by 100:
0.000972(100) = 0.0972

This is the BAC right after drinking.  To account for the time that has passed, we multiply the number of hours by 0.015:
1(0.015) = 0.015

We subtract this from our immediate BAC:
0.0972-0.015 = 0.0822 ≈ 0.08
5 0
2 years ago
Read 2 more answers
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