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Vsevolod [243]
2 years ago
7

Find (-4) for f(x) = 9(3)^x A. -108 B. 1/3 C. -729 D. 1/9

Mathematics
1 answer:
avanturin [10]2 years ago
3 0

Answer:

D

Step-by-step explanation:

9(3)^-4

3^2 × (3^-4)

in algebraic expression a^n × a^m = a^n+m

3^2+(-4)

3^-2

but 3^-2 = 1/3²

1/3²= 1/9

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Firlakuza [10]

Step-by-step explanation:

They told about a place in the Andes Mountains where people worshipped chieftains covered in gold…”

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2 years ago
Lara wants to inscribe a square in a circle using only a compass and straightedge. She will first construct a circle and locate
Mamont248 [21]

In Step 2, Lara did not ensure that the second diamter was perpendicualr to the first diameter she drew.


The correct steps should be:

Step 1: Use the straightedge to draw a diameter of the circle. Label the points at which the diameter touches the circle as A and B.

Step 2: Draw a second diameter <em>perpendicular to the first diameter</em>. Label the points at which the second diameter touches the circle as C and D.

Step 3: Join the end points of the two diameters to form a square.

4 0
3 years ago
Please can I have an explanation also, I am terrible at these kinds of questions!
wlad13 [49]

Answer:

<em>The fraction of the beads that are red is</em>

Step-by-step explanation:

<u>Algebraic Expressions</u>

A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:

r:y = 2:3

y:b = 5:4

We are required to find r:s, where s is the total of beads in the bag, or

s = r + y + b

Thus, we need to calculate:

\displaystyle \frac{r}{r+y+b}       \qquad\qquad    [1]

Knowing that:

\displaystyle \frac{r}{y}=\frac{2}{3}      \qquad\qquad    [2]

\displaystyle \frac{y}{b}=\frac{5}{4}

Multiplying the equations above:

\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}

Simplifying:

\displaystyle \frac{r}{b}=\frac{5}{6}       \qquad\qquad    [3]

Dividing [1] by r:

\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}

Substituting from [2] and [3]:

\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}

Operating:

\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}

\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}

\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}

The fraction of the beads that are red is \mathbf{\frac{10}{37}}

8 0
2 years ago
A machine in an office can shred 65 sheets of paper every 5 seconds. How many sheets of paper can the machine shred in 60 second
Tema [17]

Answer:

780 sheets

Step-by-step explanation:

we know that

A machine can shred 65 sheets of paper every 5 seconds

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using proportion

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