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3 years ago

Which ratio is proportional to 10/24 A 20/36 B 5/8 C 35/84 D 5/6

Mathematics

1 answer:

7nadin3 [17]3 years ago

5 0

Answer:

C 35/84

Step-by-step explanation:

The given ratio is less than 1/2. Only one answer choice is less than 1/2: 35/84.

The given ratio reduces to 5/12. The reduced ratios of the answer choices are ...

A 5/9

B 5/8

C 5/12 . . . . your answer

D 5/6

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What is an estimate for the square root of 150? (Do not find the exact value) Show work

Umnica [9.8K]

Answer:

Somewhere between 12 and 13, perhaps 12.25

Step-by-step explanation:

This is a (rather) simple explanation:

Look for 2 square numbers that are either side of 150

In this case, it is 144 and 169

The square root of 144 is 12 and the square root of 169 is 13

Therefore we can estimate that the square root of 150 is somewhere between 12 and 13.

As 150 is a lot closer to 144 to 169, I would estimate around 12.25 but you do not need an exact value :)

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2 years ago

Animal populations are not capable of unrestricted growth because of limited habitat and food supplies. Under such conditions th

trasher [3.6K]

Answer:

(a) 100 fishes

(b) t = 10: 483 fishes

t = 20: 999 fishes

t = 30: 1168 fishes

(c)

$P(\infty) = 1200$

Step-by-step explanation:

Given

$P(t) =\frac{d}{1+ke^-{ct}}$

$d = 1200\\k = 11\\c=0.2$

Solving (a): Fishes at t = 0

This gives:

$P(0) =\frac{1200}{1+11*e^-{0.2*0}}$

$P(0) =\frac{1200}{1+11*e^-{0}}$

$P(0) =\frac{1200}{1+11*1}$

$P(0) =\frac{1200}{1+11}$

$P(0) =\frac{1200}{12}$

$P(0) = 100$

Solving (a): Fishes at t = 10, 20, 30

$t = 10$

$P(10) =\frac{1200}{1+11*e^-{0.2*10}} =\frac{1200}{1+11*e^-{2}}\\\\P(10) =\frac{1200}{1+11*0.135}=\frac{1200}{2.485}\\\\P(10) =483$

$t = 20$

$P(20) =\frac{1200}{1+11*e^-{0.2*20}} =\frac{1200}{1+11*e^-{4}}\\\\P(20) =\frac{1200}{1+11*0.0183}=\frac{1200}{1.2013}\\\\P(20) =999$

$t = 30$

$P(30) =\frac{1200}{1+11*e^-{0.2*30}} =\frac{1200}{1+11*e^-{6}}\\\\P(30) =\frac{1200}{1+11*0.00247}=\frac{1200}{1.0273}\\\\P(30) =1168$

Solving (c): $\lim_{t \to \infty} P(t)$

In (b) above.

Notice that as t increases from 10 to 20 to 30, the values of $e^{-ct}$ decreases

This implies that:

${t \to \infty} = {e^{-ct} \to 0}$

So:

The value of P(t) for large values is:

$P(\infty) = \frac{1200}{1 + 11 * 0}$

$P(\infty) = \frac{1200}{1 + 0}$

$P(\infty) = \frac{1200}{1}$

$P(\infty) = 1200$

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3 years ago

Henry has two pixie sticks full of delicious sugar. Henry

Sholpan [36]

Answer:

14.67 gram

Step-by-step explanation:

Henry has two pixie sticks full of delicious sugar.

Now, each pixie stick contains 22 grams of sugary goodness, then in two sticks, there will be (22 × 2) = 44 grams of sugar.

Now, Henry shares two pixie sticks among two friends and himself in equal proportion.

Therefore, each of his friends will get $\frac{44}{3} = 14.67$ (Round to the nearest tenth) gram of sugary goodness. (Answer)

6 0

3 years ago

Ignore number 2, do number one pls. 5th grade math. correct answer will be marked brainliest!

Salsk061 [2.6K]

It is d d is the answer

8 0

3 years ago

BREE<br> In which diagram do angles 1 and 2 form a linear pair?<br> 1<br> 2

Tresset [83]

Where’s the diagrams???

6 0

3 years ago