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3 years ago

Please help I don't understand. file uploaded.

Mathematics

1 answer:

IrinaK [193]3 years ago

8 0

Answer:

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Solve for x<br> 3^x+4=9<br> 3 to the power of x plus 4 is equal to 9

Bingel [31]

$3^{x} + 4 = 9 \\3^{x} = 5 \\ln(3^{x}) = ln(5) \\xln(3) = ln(5) \\\frac{xln(3)}{ln(3)} = \frac{ln(5)}{ln(3)} \\x = \frac{ln(5)}{ln(3)}$

or

$3^{x + 4} = 9 \\ln(3^{x + 4}) = ln(9) \\(x + 4)ln(3) = ln(9) \\\frac{(x + 4)ln(3)}{ln(3)} = \frac{ln(9)}{ln(3)} \\x + 4 = \frac{ln(3^{2})}{ln(3)} \\x + 4 = \frac{2ln(3)}{ln(3)} \\x + 4 = 2 \\x = -2$

6 0

3 years ago

Read 2 more answers

Al, Tom and Joe share €3000.

agasfer [191]

Answer:

Tom's share = €800

Step-by-step explanation:

Given that:

Amount shared by Al, Tom and Joe = €3000

Ratio of Al's share to Tom's share = 5 : 4

Joe's share = 1.5(Tom's share) = 1.5(4) = 6

Therefore,

Ratio of Al, Tom and Joe = 5 : 4 : 6

Let,

x be the number of times of amount each get.

5x + 4x + 6x = 3000

15x = 3000

Dividing both sides by 15

$\frac{15x}{15}=\frac{3000}{15}\\x=200$

Tom's share = 4x = 4(200) = €800

Hence,

Tom's share = €800

5 0

3 years ago

60 is 1/100 of what?

Thepotemich [5.8K]

Answer:

60% or 0.6 as a decimal

4 0

3 years ago

Find the sum of a finite geometric sequence from n = 1 to n = 6, using the expression −2(5)n − 1.

vazorg [7]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=-2\\
r=5\\
n=6
\end{cases}
\\\\\\
S_6=-2\left( \cfrac{1-5^6}{1-5} \right)$

8 0

3 years ago

Read 2 more answers

Two people agree to meet for a drink after work but they are impatient and each will only wait 20 minutes for the other person t

Brilliant_brown [7]

Answer: Probability of meeting is 0.67

Step-by-step explanation: Since each person decided to wait for 20minutes thus within an hour a maximum of 40minutes is spent waiting by both parties.Therefore, Probability of meeting will be 40mins/60mins=0.666 approximately 0.67

7 0

3 years ago