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2 years ago

3.) Simplify the expression.

Mathematics

1 answer:

Bogdan [553]2 years ago

6 0

Answer:

Option C) -cosu is correct

Therefore the simplified expression is $cos(u+\pi)=-cosu$

Step-by-step explanation:

Given expression is $cos(u+\pi)$

To find the value of the given expression :

By using the formula $cos(A+B)=cosAcosB-sinAsinB$

Substitute A=u and $B=\pi$ in the above formula we get

$cos(u+\pi)=cosucos\pi-sinusin\pi$

$=cosu(-1)-sinu(0)$ ( here $cos\pi=-1$ and $sin\pi=0$ )

$=-cosu-0$

$=-cosu$

$cos(u+\pi)=-cosu$

Therefore option C) -cosu is correct

Therefore the simplified expression is $cos(u+\pi)=-cosu$

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Which of the following statements are true about the graph of f (x) = 1/4 coz ( x + π/3) - 1? Select all that apply.

Jobisdone [24]

Answer:

It has amplitude of $\frac{1}{4}$ .

It is a horizontal shift of the parent function $\frac{\pi}{3}$ units left.

Step-by-step explanation:

We have the function, $f(x)=\frac{1}{4}\cos (x+\frac{\pi}{3})-1$ .

It is clear that the parent function is $g(x)=\cos x$ .

So, we see that,

The amplitude of the function f(x) is $\frac{1}{4}$ , which gives, $\cos x => \frac{1}{4}\cos x$ .

Also, g(x) is translated $\frac{\pi}{3}$ units to the left, which gives, $\frac{1}{4}\cos x => \frac{1}{4}\cos (x+\frac{\pi}{3})$ .

Further, the function is translated 1 unit downward, resulting in $f(x)=\frac{1}{4}\cos (x+\frac{\pi}{3})-1$ .

So, the correct options are,

It has amplitude of $\frac{1}{4}$ .

It is a horizontal shift of the parent function $\frac{\pi}{3}$ units left.

6 0

2 years ago

Angelica had 8 more pairs of shoes than her mom. Together they have 30 pairs of shoes. How many pair of shoes does each one have

MAVERICK [17]

Answer:

The answer to your question is Angelica 19, her mom = 11

Step-by-step explanation:

Data

Angelica has 8 more than her mother

total number of shoes = 30 pairs

The Number of pairs Angelica has = a = ?

The Number of pairs her mother has = m = ?

Process

1.- Write two equation that help to solve this problem

a = m + 8 Equation l

a + m = 30 Equation ll

2.- Solve the system of equations by substitution

Substitute equation l in equation ll

(m + 8) + m = 30

-Solve for m

m + 8 + m = 30

2m = 30 - 8

2m = 22

m = 22/2

m = 11

3.- Find a

a = 11 + 8

a = 19

4.- Conclusion

Angelica has 19 pairs of shoes and her mom has 11

5 0

2 years ago

CD is a line parallel to AB and passes through the point (3, 5).

Mrac [35]

Answer:

y=5/3x+b

Step-by-step explanation:

Supposing CD uses the equation y=mb (meaning CD passes through the origin) and passes through (3,5), we then know the slope if 5/3 and the y intercept is 0. We can then write CD's equation as y=5/3x+0, or just y=5/3x.

So if AB is parallel to CB, then their equation is y=5/3x+b, as we don't the y-intercept yet.

Thank you!

4 0

1 year ago

Why is the number of operators per shift multiplied by approximately 4.5 to obtain the total number of operators required to run

4vir4ik [10]

I believe you meant "why is the number of shifts multiplied by approximately 4.5 to obtain the total number of operators required to run the plant"

Answer and Explanation:

There are 3 shifts per day, 49 weeks per year and 5 shifts per operator per week

To get total number of operators required to run the plant, we multiply number of shifts in a year by number if operators per shift.

49 weeks×5 shifts= 245 shifts per operator per year

365×3 shifts= 1095 shifts per year

1095/245=4.5 operators per shift

total number of operators required to run the plant(per day) = 4.5×3= 13.5 approximately 14

total number of operators required to run the plant(per year) =4.5×1095=4927.5 approximately 4928

3 0

2 years ago

This month carla caught the following fish in lake george<br><br><br> will mark brainliest

Ira Lisetskai [31]

Answer:

The fish could be a seafish.

Step-by-step explanation:

Seafishes are fishes that live in the sea most of the time.

5 0

2 years ago