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slega [8]
4 years ago
9

5w is greater than or equal to -2

Mathematics
1 answer:
Stells [14]4 years ago
6 0

5w   \geq \\   -2

----------------------------------------------------------------------

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Can u guys PLEASE answer this question ASAP. A fat cat that was initially 12 kg reduces its weight by 10% each month. How long d
Mkey [24]

Answer:

It takes at least 7 months for the cat to be at least 6 kg lighter than the original weight.

Step-by-step explanation:

Use exponential decay formula:

A = P (1-r)t

A = amount decreased to

P = original amount

r = rate of decrease

t = time

 

6 ≥ 12 (1-0.10)t      divide both sides by 12

0.5 ≥ (0.9)t            take log of both sides

log (0.5) ≥ log (0.9)t     power rule of logs lets the exponent t drop to front of log to become a factor

log (0.5) ≥ t log(0.9)     divide both sides by log(0.9) which is negative so reverse the inequality sign

log (0.5) / log (0.9) ≤ t     use calculator

6.57 ≤ t

 

It takes at least 7 months for the cat to be at least 6 kg lighter that original weight.

 

check:

12 (0.9)7≈ 5.73

12 (0.9)6 ≈ 6.37

5 0
3 years ago
Given that f(x) = x2 − 3x + 3 and g(x) = the quantity of x minus one, over four , solve for f(g(x)) when x = 5
weqwewe [10]

Answer:

1

Step-by-step explanation:

To evaluate f(g(x)) when x = 5, evaluate g(5) then substitute the value obtained into f(x)

g(5) = \frac{5-1}{4} = \frac{4}{4} = 1, then

f(1) = 1² - 3(1) + 3 = 1 - 3 + 3 = 1

6 0
3 years ago
What is the reflection image of P(0, 0) after two reflections, first across x = -3 and then across y = 4?
artcher [175]
(-6,-8) i believe but its difficult without a graph in front of me haha   

6 0
3 years ago
Read 2 more answers
Two students are chosen at random from a class of 30. what is the probability that both you and your best friend are chosen?
Sladkaya [172]
Hey there!

\dfrac{1}{30}  \times  \dfrac{1}{29}  \\  =  \dfrac{1}{870}

Answer is 1/870, or in decimal form 0.0011.

Hope this helps. - M
6 0
3 years ago
Read 2 more answers
At the grocery store watermelon costs $1.27 per pound. If Heather buys a 5.5 lb watermelon, which proportion could she use to fi
Helga [31]
If you would like to know how much will the watermelon cost, you can calculate this using the following steps:

$1.27 ... 1 pound
$c = ? ... 5.5 pounds

1.27 * 5.5 = 1 * c
c = 1.27 * 5.5
c = $6.99

The correct result would be: <span>c = $1.27 * 5.5 pounds = $6.99.</span>
7 0
4 years ago
Read 2 more answers
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