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ludmilkaskok [199]
2 years ago
7

Brianna ate 3 bags of apple slices. If each bag contained 7 apple slices, which equation represents the total number of apple sl

ices Brianna ate?
A. 7 × 3 = 10
B. 7 + 3 = 10
C. 7 ÷ 3 = 21
D. 3 × 7 = 21
Mathematics
1 answer:
Veronika [31]2 years ago
6 0
D. This is the answer because 3 bags with 7 would be 3x7 and your answer would be 21
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If log2 5 = k, determine an expression for log32 5 in terms of k.
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Answer:

log_3_2(5)=\frac{1}{5} k

Step-by-step explanation:

Let's start by using change of base property:

log_b(x)=\frac{log_a(x)}{log_a(b)}

So, for log_2(5)

log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)

Now, using change of base for log_3_2(5)

log_3_2(5)=\frac{log(5)}{log(32)}

You can express 32 as:

2^5

Using reduction of power property:

log_z(x^y)=ylog_z(x)

log(32)=log(2^5)=5log(2)

Therefore:

log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)

As you can see the only difference between (1) and (2) is the coefficient \frac{1}{5} :

So:

\frac{log(5)}{log(2)} =k\\

log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k

6 0
3 years ago
Please help me with this please and thank you
Alina [70]

Step-by-step explanation:

y = ax^n + bx^(n-1) ... + z

(0, 1) tells us that the constant term z = 1.

because x = 0 eliminates all other terms. and as the sum is 1, that means z = 1.

for the other pairs I strongly suspect

(-1, 3) : 2×(-1)² + 1 = 2×1 + 1 = 3

(-2, 9) : 2×(-2)² + 1 = 2×4 + 1 = 9

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y = 2x² + 1

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2 years ago
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zaharov [31]

Answer:

19657

Step-by-step explanation:

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