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3 years ago

2/3 of the product of 3/8 and 16

Mathematics

2 answers:

asambeis [7]3 years ago

5 0

First find the product (multiply) of 3/8 x 16=6 then find 2/3 of 6= 4 amswer is 4 hope this helps

hjlf3 years ago

4 0

3/8 of 16 = (16 / 8) x 3
= 2 x 3
= 6

2/3 of 6 = (6 / 3) x 2
= 2 x 2
= 4

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The range of the function y=secx-2 is all reals except -1 1 -3 -2

Umnica [9.8K]

Answer:

For a function y = f(x), the range is the set of all the possible values of y.

In the question you wrote:

y = secx - 2

This can be interpreted as:

y = sec(x - 2)

y = sec(x) - 2

So let's see each case (these are kinda the same)

If the function is:

y = sec(x - 2)

Firs remember that:

sec(x) = 1/cos(x)

then we can rewrite:

y = 1/cos(x - 2)

notice that the function cos(x) has the range -1 ≤ y ≤ 1

Then for the two extremes we have:

y = 1/1 = 1

y = 1/-1 = -1

Notice that for:

y = 1/cos(x - 2)

y can never be in the range -1 < x < 1

As the denominator cant be larger, in absolute value, than 1.

Then we can conclude that the range is all reals except the interval:

-1 < y < 1

If instead the function was:

y = sec(x) - 2

y = 1/cos(x) - 2

Then with the same reasoning, the range will be the set of all real values except:

-1 - 2 < y < 1 - 2

-3 < y < -1

6 0

3 years ago

There are 20 light bulbs in 5 packages.Complete the table to find the rate that gives you the number of light bulbs in 3 package

blondinia [14]

Given that there are 20 light bulbs in 5 packages.

The table to find the rate that gives you the number of light bulbs in 3 packages is given as follows:

$\begin{tabular}
{|c|c|c|c|c|c|}
Light bulbs&4&8&12&16&20\\[1ex]
Packages&1&2&3&4&5
\end{tabular}$

Three different ways in which the rate can be written are:

12 light bulbs to 3 packages

12 light bulbs : 3 packages

12 light bulbs / 3 packages

7 0

3 years ago

The long-distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard de

qaws [65]

Answer: a. 0.6759 b. 0.3752 c. 0.1480

Step-by-step explanation:

Given : The long-distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard deviation of 2.2 minutes

i.e. $\mu = 6.3$ minutes