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nika2105 [10]
3 years ago
15

I don't understand this and would appreciate an explanation as well :)

Mathematics
1 answer:
Neporo4naja [7]3 years ago
6 0
We want to solve the two equations
e^{x}=6
and
4^{y+3}=3

First equation.
Take natural log of each side.
ln(e^{x})=ln(6)\\xln(e)=ln(6)\\
x=ln(6)=1.7918
Note that ln(e) = 1 by definition.
Answer: x = 1.79 (nearest hundredth)

Second equation.
Take natural log of each side.
ln(4^{y+3})=ln(3)\\
(y+3)ln(4)=ln(3)\\
y+3= \frac{ln(3)}{ln(4)} =0.7925\\y=0.7925-3=-2.2075
Answer: y = -2.21 (nearest hundredth)
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Find the sum of the first 9 terms of the geometric series:<br> 3 + 21 + 147 + …
grin007 [14]

Answer:

  20,176,803

Step-by-step explanation:

This geometric series has a first term of 3 and a common ratio of 21/3 = 7. The formula for the sum of n terms of a series with first term a1 and common ratio r is ...

 Sn = a1·(r^n -1)/(r -1)

For a1=3, n=9, and r=7, the sum is ...

  S9 = 3·(7^9 -1)/(7 -1) = 3·40353606/6 = 20,176,803

The sum of the first 9 terms is 20,176,803.

_____

The first 9 terms are ...

  3 +21 +147 +1029 +7203 +

  50,421 +352,947 +2,470,629 +17,294,403

8 0
3 years ago
Which modified box plot represents the data set?<br> 39, 39, 3, 40, 46, 48, 60, 62, 62<br>  
Musya8 [376]
To find this question, you first should put your data values in order from least to greatest. Doing so would look like this:

3, 39, 39, 40, 46, 48, 60, 62, 62

Now find the median, the middle number. This would be 46. This would also be the middle point on your box and whisker plot. Looking at your answer choices, the only one that has the middle point at 46 is the last one. So that is your answer.
4 0
4 years ago
Read 2 more answers
Find the length of the third side. If necessary, round to the nearest tenth. 25 20 ​
Komok [63]

Answer:

15

Step-by-step explanation:

using \: pythagoras \: theorem \\ let \: the \: unknown \: side = x \\ 25 {}^{2}  = x {}^{2}  + 20 {}^{2}  \\ 625 = x {}^{2}  + 400 \\ x {}^{2}  = 625 - 400 \\ x {}^{2}  { = 225} \\ x =  \sqrt{225}   \\ x = 15 \\ lenght \: of \: the \: third \: side = 15

3 0
2 years ago
A radio station had 170 tickets to a concert. They gave away 4 times as many tickets to listeners as to employees. How many tick
never [62]
Employees: 34

170÷4x +1x
170=5x
34=x

1x=34 Employees 4x= 136 Listeners
5 0
3 years ago
Help!!! Choose the product . - 6p ^ 3 * (3p ^ 2 + 5p - 1)
Lunna [17]

Answer:

-18p^{5} -30p^{4} +6p^{3}

Step-by-step explanation:

(-6p^{3} )(3p^2+5p-1)

(-6p^3)(3p^2)+(-6p^3)(5p)+(-6p^3)(-1)

-18p^{5} -30p^{4} +6p^{3}

<em>hope this helps.....</em>

8 0
3 years ago
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