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yuradex [85]
3 years ago
13

Rewrite the following expression using the properties of logarithms. log2z+2log2x+4log9y+12log9x−2log2y You must show all of you

r work to receive credit.

Mathematics
1 answer:
mr Goodwill [35]3 years ago
6 0

Answer:

53437.3639

Step-by-step explanation:

23y5o9-023.36839637836386378673676763767678362

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If the spinner is spun 100 times how many times would you predict it would land on yellow?
viva [34]

Answer:20

Step-by-step explanation:

8 0
4 years ago
Solve the following system of equations by graphing. Then determine whether the system is consistent or inconsistent and whether
Olenka [21]

Recall that the slope-intercept form of the equations of a line is:

y=mx+b\text{.}

Taking both equations to their slope-intercept form we get:

\begin{gathered} 6x+6y-6x=-30-6x, \\ 6y=-30-6x, \\ \frac{6y}{6}=-\frac{30}{6}-\frac{6}{6}x, \\ y=-x-5\text{.} \end{gathered}\begin{gathered} 3x+3y-3x=-15-3x, \\ 3y=-15-3x, \\ \frac{3y}{3}=-\frac{15}{3}-\frac{3}{3}x, \\ y=-x-5. \end{gathered}

Notice that both equations are the same, therefore the system has infinitely many solutions, therefore it is consistent and dependent.

Answer:

Equations:

\begin{gathered} y=(-1)x+(-5), \\ y=(-1)x+(-5)\text{.} \end{gathered}

The system is consistent and dependent.

A solution to the system is (0,-5).

7 0
1 year ago
What is 7.985 add 12.84 show your work
nataly862011 [7]

Answer:

20.825

Step-by-step explanation:

 7.985

+12.84

 20.825

8 0
3 years ago
Read 2 more answers
Drag each symbol and number to the correct location on the inequality. Not all symbols and numbers will be used. Sam initially i
galben [10]

Answer:

t \leq 18.67\ years

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=?\ years\\ P=\$4,500\\ A=\$7,020\\r=0.03

The inequality that represented this situation is

P(1+rt) \leq A

substitute the values and solve for t

4,500(1+0.03t) \leq 7,020

(0.03t) \leq (7,020/4,500)-1

t \leq [(7,020/4,500)-1]/0.03

t \leq 18.67\ years

7 0
3 years ago
let f(x) = 2x^2+5-e^x , use the intermediate value theorem to show that the f(x) has a root in the interval [3,4]?
sergiy2304 [10]

9514 1404 393

Answer:

  sign(f(3)) ≠ sign(f(4))

Step-by-step explanation:

The intermediate value theorem tells you that a sign change between f(a) and f(b) means there is a root in the interval [a, b].

Here, we have f(3) ≈ +2.9 and f(4) ≈ -17.6, so there is a root in [3, 4].

_____

The root is approximately 3.27560108885.

7 0
3 years ago
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