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AveGali [126]
3 years ago
5

Which of the following are true statements?

Mathematics
1 answer:
MArishka [77]3 years ago
6 0

Answer: Option A and Option B.

Step-by-step explanation:

You need to remember the logarithms properties:

log(a)+log(b)=log(ab)\\\\log(a)-log(b)=log(\frac{a}{b})\\\\log(a)^b=b*log(a)

You can observe in Option A:

logM^p=p*logM (This is true)

You can observe in Option B:

logM+logN=log(MN) (This is true)

You can observe in Option C:

logM-logN=log(M-N) (This is not true)

You can observe in Option D:

(logM)^p=p*logM (This is not true)

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Bond [772]

Answer: 11 7/15

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3 years ago
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Wyatt uses 3.15 cups of flour in a recipe that makes 9 shortcakes. Cora uses 2.4 cups of flour in a recipe that makes 8 shortcak
ruslelena [56]
The number of cups of flour per shortcake in Wyatt's recipe is given by

\frac{3.15}{9} =0.35

The number of cups of flour per shortcake in Cora's recipe is given by

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The number of more cups of flour needed by Cora is given by 0.35 - 0.3 = 0.05 cups.
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3 years ago
If an airplane in a 1 in. : 4 ft. scale drawing is 5 in. long, how long is the actual airplane? Use proportions to solve the pro
Lunna [17]

Answer:

20ft

Step-by-step explanation:

20ft is the answer because you would do 4 x 5 = 20, since the scale factor is 1in : 4ft

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2 years ago
9 – 4x = 2x whats the ancewer
zmey [24]

Answer:

3/2 is the answer

Step-by-step explanation:

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3 years ago
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(100) points!!!! Help please
inysia [295]

Answer:

\displaystyle a_8=142,11\ mg

Step-by-step explanation:

Geometric sequence

Each term in a geometric sequence can be computed as the previous term by a constant number called the common ratio. The formula to get the term n is

\displaystyle a_n=a_1r^{n-1}

where a_1 is the first term of the sequence

The problem describes Georgie took 275 mg of the medicine for her cold in the first hour and that in each subsequent hour, the amount of medicine in her body is 91% (0.91) of the amount from the previous hour. It can be written as

amount in hour n = amount in hour n-1 * 0.91

a)

This information provides the necessary data to write the general term as

\displaystyle a_n=275\ .\ 0.91^{n-1}

b)

In the 8th hour (n=8), the remaining medicine present is Georgie's body is

\displaystyle a_n=275\ .\ 0.91^{8-1}

\displaystyle a_n=275\ .\ 0.91^{7}

\boxed{\displaystyle a_8=142,11\ mg}

6 0
3 years ago
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