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kotegsom [21]
4 years ago
6

PLEASE HELP!!! Write the expression as a single logarithm. 3 log(4) + log(7)

Mathematics
2 answers:
Nimfa-mama [501]4 years ago
8 0

Answer:

log(448)

Step-by-step explanation:

3log(4) = log(4³) = log(64)

log(64) + log(7)

log(64×7)

log(448)

anygoal [31]4 years ago
3 0

Answer:

log (448)

Step-by-step explanation:

3 log(4) + log(7)

We know that a log b = log b^a

3 log(4) + log(7)

log 4^3 + log 7

log 64 + log 7

We know that log a + log b = log (a*b)

log (64 *7)

log (448)

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Write the sum using summation notation, assuming the suggested pattern continues.
mart [117]

Answer:

\sum_{n = 1} 2*(-5)^{n-1}

Step-by-step explanation:

An arithmetic sequence is of the form:

A_n = A_{n-1} + d

While a geometric sequence is of the form:

A_n = A_{n-1}*r

notice that first, we have a change of sign in our sequence, so we already can discard the arithmetic sequence.

In fact, the pattern is kinda easy to see.

The first term is:

A₁ = 2

the second term is:

A₂ = -10

notice that:

A₂/A₍ = r = -10/2 = -5

The third term is:

A₃ = 50

the quotient between the third term and the second term is:

A₃/A₂ = 50/-10 = -5

Whit this we can already conclude that the n-th term of our sequence will be:

A_n = A_{n-1}*(-5)

Then the summation will be something like:

\sum_{n = 1} A_n = A_1 + A_2 + A_3 + ... = 2 - 10 + 50 - ...

We can write:

A_n = A_{n-1}*(-5) = (A_{n-2}*(-5))*(-5)) = A_1*(-5)^{n-1} = 2*(-5)^{n-1}

Then the summation is just:

\sum_{n = 1} 2*(-5)^{n-1}

7 0
3 years ago
PLEASEE HEELLLP!!! I'LL GIVE BRAINLIEST!
Amanda [17]

Answer:

x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96

Step-by-step explanation:

The two angles above the horizontal line form a linear pair, so they are supplementary. Their measures add to 180 deg. That let's you find the value of x.

28x - 7 + 24x + 18 = 180

52x + 11 = 180

52x = 169

x = 169/52

x = 3.25

Now use the lower left angle and the upper right angle. They are vertical angles, so they are congruent. That allows you to solve for y.

12y + 30 = 24x + 18

We know that x = 3.25.

12y + 30 = 24(3.25) + 18

12y + 30 = 78 + 18

12y = 66

y = 66/12

y = 5.5

I don't know what the problem is asking for since you don't show.

x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96

8 0
3 years ago
Read 2 more answers
Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth. 12,7,12,9,2,15,6,6,6,1,11
Galina-37 [17]
Answer:

Mean: 7.9
Median: 7
Mode: 6

Step-by-step explanation:

Sort the date set!

1, 2, 6, 6, 6, 7, 9, 11, 12, 12, 15

Then start by finding the mean of the data set!

Mean: the sum of all numbers divided by the amount of numbers

Mean = 1 + 2 + 6 + 6 + 6 + 7 + 9 + 11 + 12 + 12 + 15 = 87 divided by 11 = 7.9

Median: middle number in the data set

Data set: 1, 2, 6, 6, 6, 7, 9, 11, 12, 12, 15

Median = 7 because it is in the middle

Mode: the number that is being used the most

Data set: 1, 2, 6, 6, 6, 7, 9, 11, 12, 12, 15

Mode = 6 because it is used 3 times



5 0
3 years ago
2. (
Andreas93 [3]

Answer:

A 37 and 33

Step-by-step explanation:

I know it is i took it

6 0
3 years ago
What two fractions equal 1 1/5
myrzilka [38]

I also need help with this one also

8 0
3 years ago
Read 2 more answers
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