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3 years ago

15)

Mathematics

1 answer:

Ludmilka [50]3 years ago

8 0

Answer:

A, x>3

Step-by-step explanation:

You solve the equation as normal by crossing out both sides and getting what equals to x, but since you divided by a negative the sign flips and you are left with your answer. Hope this helps!

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If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

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

2 years ago

Please help!! i will help you back!!

NeX [460]

Answer:

c = 50

Step-by-step explanation:

Using the Pythagorean Theorem:

Plug in the values of a = 14, and b = 48

$a^{2} +b^{2} =c^{2}\\14^{2} +48^{2} =c^{2} \\c^{2} = 2500\\c = \sqrt{2500} \\c = 50$

7 0

2 years ago

Write a cosine function that has a midline of 2, an amplitude of 4 and a period of pi/2.

exis [7]

y = Acos(Bx) + D;

D = 4, A = 2. Now T = 2π/B = 5π/8, B = 2π/(5π/8) = 16/5

WE get y = 2cos(16/5x) + 4

4 0

2 years ago

True or false? Postulates are statements that are accepted without question or justification

ale4655 [162]

True, as a postulate is the assumption of existence.

6 0

3 years ago

Read 2 more answers

Pls answer this 5 and _____ are reciprocal numbers.

Jet001 [13]

Answer:

1/5

Step-by-step explanation:

Reciprocal just means flipped you can put any whole number over 1 if it helps to see that

5/1 = 5

Since reciprocal is asking you to flip 5/1 meaning numerator becomes denominator and vice versa you end up with 1/5 being the reciprocal of 5

6 0

2 years ago