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Aleksandr [31]
3 years ago
5

Solving Exponential Equations (lacking a common base) 31^d=38

Mathematics
1 answer:
Bond [772]3 years ago
8 0

Answer:

d = log 38/log31

d = 1.06

Step-by-step explanation:

31 ^ d = 38

Take log of both sides since the exponential equation have different base (always)

d log 31 = log 38

d = log 38 / log 31

d = 1.58 / 1.491

d = 1.06.

We can actually check to see if this is correct.

Substituting d = 1.06

31^ 1.06 = 38.092

(You see, that's approximately correct)

Keep learning, maths is fun!

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If two thirds of a number decreased by 20 is 40, what is the number
oee [108]

Answer:

The unknown number is 90

Step-by-step explanation:

This question requires a good understanding so as to interprets it well

And always ensure that all symbols used in representation are well stated so as to help the examiner or anyone who will mark it to understand better

So back to the question,let the unknown number be x

And two thirds of the unknown number is 2/3x

2/3x was decreased by 20 which can be written as 2/3x-20

And this decrease gives 40

That's,2/3x-20=40

Then go ahead to solve the question

Start by finding the LCM and the LCM is 3

2x-60/3=40

Cross multiply

2x-60=40×3

2x-60=120

Collect like terms by adding 60 to both sides

2x=180

Divide both sides by 2

x=90

Therefore the final answer is 90

8 0
3 years ago
Use substitution to solve the system.<br> x=3y+5<br> 5x-4y=14<br> ______________<br> x=<br> y=
nataly862011 [7]
So what you do is go 5(3y+5)-4y=14 which equals 15y+25-4y=14 which turns into 11y+25=14 than you move the 25 over which equals 11y=-11 so y=-1 then you enter -1 in for y which looks like 5x-4(-1)=14 than you solve that which is 5x+4=14 than you move the 4 over and you get 5x=10 than x=2

x=2
y=-1
8 0
3 years ago
Sari has a bag containing 6 half-dollar and 3 dollar coins.what is the total mass of the coins in saris bag?
Nataly_w [17]
6 half dollar coins would= $3.00 so you would add $3.00+$3.00=$6.00
5 0
3 years ago
Read 2 more answers
What is the value of the expression |a + b| + |c| when a = –3, b = 7, and c = –15?
nikdorinn [45]
We know:
|a|=  \left\{\begin{array}{ccc}a&if\ a \ \textgreater \  0\\0&if\ a=0\\-a&if\ a \ \textless \  0\end{array}\right\\\\|2|=2\\|0|=0\\|-3|=3

|a+b|+|c|
substitute a = -3; b = 7; c = -15
|-3+7|+|-15|=|4|+15=4+15=19

3 0
3 years ago
Among 400 randomly selected drivers in the 16 minus 18 age​ bracket, 293 were in a car crash in the last year. If a driver in th
professor190 [17]

Answer:

The approximate probability is 0.7325.

Is not unlikely that a driver in that age bracket is involved in a car crash during a​ year, so there are reasons to be concerned.

Step-by-step explanation:

The approximate probability can be estimated using the sample proportion:

p=\dfrac{X}{n}=\dfrac{293}{400}=0.7325

A probability of 0.7325 is high, so it is not unlikely that a driver in that age bracket is involved in a car crash during a​ year.

As this value is high, there is reasons to be concerned about it.

4 0
3 years ago
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