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Sergio039 [100]

3 years ago

8

What is the correct answer?

1 answer:

torisob [31]3 years ago

5 0

Answer: its B have a good day :)

Step-by-step explanation:

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The rate for one unit of a given quantity is called a(n)

ankoles [38]

The rate for one unit of a given quantity is called a(n) Unit Rate.

4 0

3 years ago

Help ASAP show work please thanksss!!!!

Llana [10]

Answer:

$\displaystyle log_\frac{1}{2}(64)=-6$

Step-by-step explanation:

<u>Properties of Logarithms</u>

We'll recall below the basic properties of logarithms:

$log_b(1) = 0$

Logarithm of the base:

$log_b(b) = 1$

Product rule:

$log_b(xy) = log_b(x) + log_b(y)$

Division rule:

$\displaystyle log_b(\frac{x}{y}) = log_b(x) - log_b(y)$

Power rule:

$log_b(x^n) = n\cdot log_b(x)$

Change of base:

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

Simplifying logarithms often requires the application of one or more of the above properties.

Simplify

$\displaystyle log_\frac{1}{2}(64)$

Factoring $64=2^6$ .

$\displaystyle log_\frac{1}{2}(64)=\displaystyle log_\frac{1}{2}(2^6)$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}(2)$

Since

$\displaystyle 2=(1/2)^{-1}$

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}((1/2)^{-1})$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=-6\cdot log_\frac{1}{2}(\frac{1}{2})$

Applying the logarithm of the base:

$\mathbf{\displaystyle log_\frac{1}{2}(64)=-6}$

5 0

2 years ago

Convert Зcis 180° to rectangular form.<br> А. -3<br> в. -3i<br> с. з<br> D. Зі.

Sunny_sXe [5.5K]

Answer:

-3

Step-by-step explanation:

$3 cis(180^\circ)$ means $3(\cos(180^\circ)+i \sin(180^\circ))$

What is the $x$ -coordinate value that corresponds to $\theta=180^\circ$ . That value is -1.

What is the $y$ -coordinate value that corresponds to $\theta=180^\circ$ . That value is 0.

So this implies $\cos(180^\circ)=-1 \text{ and } \sin(180^\circ)=0$ .

$3 cis(180^\circ)$

$3(\cos(180^\circ)+i \sin(180^\circ))$

$3(-1+i (0))$

$3(-1+0)$

$3(-1)$

$-3$

5 0

3 years ago

A fair coin is tossed 20 times. The probability of getting the three or more heads in a row is 0.7870 and the probability of get

adelina 88 [10]

Answer:

The value is $P( H \ n \ T ) = 0.6049$

Step-by-step explanation:

From the question we are told that

The number of times is n = 20

The probability of getting three or more heads in a row is $P(H) = 0.7870$

The probability of getting three or more heads in a row or three or more tails in a row is $P(H \ u \ T ) = 0.9791$

Generally given that it is a fair coin , then $P(H) = P(T) = 0.7870$

Here P(T) is probability of getting three or more tails in a row

Generally the probability of getting three or more heads in a row and three or more tails in a row is mathematically represented as

$P( H \ n \ T ) = P(H) + P(T) - P( H \ u \ T )$

=> $P( H \ n \ T ) = 0.7870 + 0.7870 - 0.9791$

=> $P( H \ n \ T ) = 0.6049$

7 0

2 years ago

Juan has blood type A, Lilly has blood type AB, and Aaron has blood type O. Is this relation a function? Explain.

nexus9112 [7]

Answer: Yes, this relation is function.

Step-by-step explanation:

A relation is called function if each input has unique output.

It is given that, Juan has blood type A, Lilly has blood type AB, and Aaron has blood type O.

Juan is related to blood type A.

Lilly is related to blood type AB.

Aaron is related to blood type O.

Here, each input has unique output because here each person has unique blood group.

Therefore, this relation is a function.

3 0

3 years ago