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3 years ago

Complete the table for the value of each digit in 123.

Mathematics

1 answer:

artcher [175]3 years ago

6 0

Answer:

1,2,3,4,5,6,7,8,9,10

2,4,6,8,10,12,14,16,18,20

3,6,9,12,15,18,21,24,27,30

Step-by-step explanation:

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Simplify this expression (5)^ -5 (5)^ 7 please explain how you got the answer

Rina8888 [55]

Answer:

$( {5}^{ - 5} ) \times ( {5}^{7} ) \\ \\ \frac{ {5}^{7} }{ {5}^{5} } = {5}^{7 - 5} = {5}^{2}$

the answer is b. 25

3 0

3 years ago

What is the lcm of 56 and 136

Citrus2011 [14]

Answer:

$LCM(56,136)=952$

Step-by-step explanation:

To find the LCM of two numbers, factorize both these numbers:

$56=2\cdot 28=2\cdot 2\cdot 14=2\cdot 2\cdot 2\cdot 7=2^3\cdot 7\\ \\136=2\cdot 68=2\cdot 2\cdot 34=2\cdot 2\cdot 2\cdot 17=2^3\cdot 17$

These two numbers have the common factor of $2^3.$

Now multiply this common factor by the remaining factors:

$LCM(56,136)=2^3 \cdot 7\cdot 17=952$

Therefore, the LCM is 952.

8 0

3 years ago

Emma invested $41,000 in an account paying an interest rate of 2.6% compounded monthly. Assuming no deposits or withdrawals are

kvasek [131]

Answer: it will take 7 years for the value of the account to reach $49,300

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $41000

A = $49300

r = 2.6% = 2.6/100 = 0.026

n = 12 because it was compounded 12 times in a year.

Therefore,

49300 = 41000(1 + 0.026/12)^12 × t

49300/41000 = (1 + 0.0022)^12t

1.2024 = (1.0022)^12t

Taking log of both sides of the equation, it becomes

Log 1.2024 = 12t × log 1.0022

0.08 = 12 × 0.00095 = 0.0114t

t = 0.08/0.0114

t = 7 years

8 0

3 years ago

Find the limit<br> lim x->0 (4x/tan2x)

My name is Ann [436]

Answer:

Step-by-step explanation:

hello : here is a solution

3 0

2 years ago

The graph of an exponential function is given. Which of the following is the correct equation of the function?

Effectus [21]

The answer is choice D

-----------------------------------------

Explanation:

We can rule out choice B and choice C which are y = 2.4^x and y = 3.5^x respectively. Why can we eliminate these? Because they are growth functions (the bases are larger than 1). The graph shown is a decay function. It goes downhill as you read it from left to right.

The answer is either choice A or choice D

If we plug in x = -2 into the equations for A and D, we get
y = 0.65^x = 0.65^(-2) = 2.36686
y = 0.32^x = 0.32^(-2) = 9.765625

The result for choice D is much closer to what the graph is showing. The graph appears to have the point (-2,11) on the curve. So that's why choice D is the best answer.

Note: the graph is a bit small and its not entirely clear which points are on this graph other than (0,1). So this is a bit of educated guesswork.

7 0

3 years ago