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3 years ago

Log (x+2) base 5- log (x) = log (2x-1) base 5 - log (3x-12) base 5

Mathematics

1 answer:

Vlad [161]3 years ago

3 0

Answer:

x ≅ 5.44864209

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

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Please help me with some Algebra 2. Last stretch of the trimester and it’s 3:13AM. It’s my own fault for getting myself into thi

son4ous [18]

Answer:

A. 23+(6-1)x-3

B. 93

Step-by-step explanation:

a) Nth term = F + (N - 1) x D, where F=First term, N=Number of terms, D=Common difference

6th row = 23 + (6 - 1) x -3

= 23 + (5) x -3

= 23 + (-15)

= 8 - number of boxes in the top row.

b) Sum = N/2[2F + (N - 1) x D]

= 6/2[2*23 + (6 - 1) x -3]

= 3 [46 + (5) x -3 ]

= 3 [46 + -15 ]

= 3 [ 31 ]

= 93 - total number of boxes in the entire display.

Hope this helps! Its 3:25 AM for me too so I know how you feel.

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3 years ago

Simplify without parentheses (4v-3w)^2 Explain.

Lilit [14]

(4v-3w)∧2, Its to the second power so take the exponent 2 and put it on the variables and coefficients so you would have (4∧2)(v∧2)-(3∧2)(w∧2). Then you would do the math and get 16v∧2-9w∧2 than you would add the like terms so you have 25v∧2w∧2.

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3 years ago

Read 2 more answers

A car purchased for $24,000 is expected to lose value, or depreciate, at a rate of 8% per year. This situation can be modeled by

algol [13]

$\bf \qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &24000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=\textit{elapsed time}\dotfill &t\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{current value}}{\stackrel{A}{\stackrel{\downarrow }{P(t)}}}=24000(1-0.08)^{\stackrel{\stackrel{\textit{years}}{\downarrow }}{t}}$

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2 years ago

Tan∅= 0 How do you find the values of ∅?

olga55 [171]

you have to take arctan(0) to find the value of theta.

tan^-1 (x)=theta

3 0

3 years ago

A theater seats 2,816 people. The first row has 26 seats while the last row has 150 seats. Assuming the number of seats per row

wolverine [178]

Answer:

The theater has 32 rows

Step-by-step explanation:

The rule of the sum of n terms of an arithmetic sequence is S $_{n}$ = $\frac{n}{2}$ (a + l), where

a is the first term

l is the last term

n is the number of the terms

∵ The number of seats per row follows an arithmetic sequence

∵ The first row has 26 seats

∴ a = 26

∵ The last row has 150 seats

∴ l = 150

∵ The theater seats are 2,816

∴ S $_{n}$ = 2,816

→ Substitute these values in the rule of the sum above to find n

∵ 2,816 = $\frac{n}{2}$ (26 + 150)

∴ 2,816 = $\frac{n}{2}$ (176)

∴ 2,816 = 88n

→ Divide both sides by 88

∴ 32 = n

∵ n represents the number of the rows

∴ The theater has 32 rows

3 0

2 years ago