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2 years ago

20. (01.03 MC) What is the simplified expression ? (1 point)

Mathematics

1 answer:

ahrayia [7]2 years ago

4 0

Answer:

$\displaystyle 3^2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Exponential Rule [Multiplying]: $\displaystyle b^m \cdot b^n = b^{m + n}$
Exponential Rule [Dividing]: $\displaystyle \frac{b^m}{b^n} = b^{m - n}$

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{3^3 \cdot 3^3}{3^4}$

Step 2: Simplify

[ER] Multiply: $\displaystyle \frac{3^{3+3}}{3^4}$
Add Exponents: $\displaystyle \frac{3^6}{3^4}$
[ER] Divide: $\displaystyle 3^{6 - 4}$
Subtract Exponents: $\displaystyle 3^2$

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20 points! Write an exponential function in the form y=ab^x that goes through points (0, 8) and (2, 200)

alexandr402 [8]

Answer:

$y=8(5)^x$

Step-by-step explanation:

We want an exponential function that goes through the two points (0, 8) and (2, 200).

Since a point is (0, 8), this means that y = 8 when x = 0. Therefore:

$8=a(b)^0$

Simplify:

$a=8$

So we now have:

$y = 8( b )^x$

Likewise, the point (2, 200) tells us that y = 200 when x = 2. Therefore:

$200=8(b)^2$

Solve for b. Dividing both sides by 8 yields:

$b^2=25$

Thus:

$b=5$

Hence, our exponential function is:

$y=8(5)^x$

4 0

2 years ago

Read 2 more answers

It took Fred 17 days to save $36.55. At that rate, how long would it take him to save $70.95?

Vlad1618 [11]

Answer:

Fred would take 33 days to save $ 70.95.

Step-by-step explanation:

The number of days ( $t$ ) is directly proportional to the quantity of money saved ( $c$ ), in monetary units, then we can calculate the time taken to save $ 70.95 by simple rule of three:

$t = 17\,d\,\times \frac{\$\,70.95}{\$\,36.55}$

$t = 33\,d$

Fred would take 33 days to save $ 70.95.

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2 years ago

PLEASE HELP IM ON A TIME LIMIT :(

Mice21 [21]

Answer:

hey hope this helps

<h3 /><h3>Comparing sides AB and DE </h3>

AB =

$\sqrt{ {1}^{2} + {1}^{2} }$

$= \sqrt{2}$

$= \sqrt{ {(3 - 5)}^{2} + {(1 + 1}^{2} } \\ = \sqrt{ {( - 2)}^{2} + {(2)}^{2} } \\ = \sqrt{4 + 4} \\ = \sqrt{8} \\ = 2 \sqrt{2}$

So DE = 2 × AB

and since the new triangle formed is similar to the original one, their side ratio will be same for all sides.

scale factor = AB/DE

= 2

It's been reflected across the Y-axis

moved thru the translation of 3 units towards the right of positive x- axis 

for this let's compare the location of points B and D

For both the y coordinate is same while the x coordinate of B is 0 and that of D is 3

so the triangle has been shifted by 3 units across the positive x axis

7 0

2 years ago

Latoya has b decks of cards . Each deck has 52 cards in it , what is the expression for the total numbers of cards latoya has

Lerok [7]

Answer:

52b

Step-by-step explanation:

She has 52 cards per deck, and b decks.

This means she has 52b cards.

How this works:

For 1 deck, she has 52 cards, or 52×1 cards.

For 2 decks, she has 104 cards, or 52×1 cards.

For 5 decks, she has 260 cards, or 52×5 cards.

For 10 decks, she has 520 cards, or 52×10 cards.

Therefore, for b decks, she has 52×b, or 52b cards.

**This content involves writing algebraic expressions, which you may wish to revise. I'm always happy to help!

6 0

2 years ago

In a recent survey, 60% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find

andreev551 [17]

Answer:

Probability that exactly 5 of them favor the building of the health center is 0.0408.

Step-by-step explanation:

We are given that in a recent survey, 60% of the community favored building a health center in their neighborhood.

Also, 14 citizens are chosen.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 14 citizens

r = number of success = exactly 5

p = probability of success which in our question is % of the community

favored building a health center in their neighborhood, i.e; 60%

LET X = Number of citizens who favored building of the health center.

So, it means X ~ $Binom(n=14, p=0.60)$

Now, Probability that exactly 5 of them favor the building of the health center is given by = P(X = 5)

P(X = 5) = $\binom{14}{5} \times 0.60^{5} \times (1-0.60)^{14-5}$

= $2002 \times 0.60^{5} \times 0.40^{9}$

= 0.0408

Therefore, Probability that exactly 5 of them favor the building of the health center is 0.0408.

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3 years ago