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Stella [2.4K]
3 years ago
10

1. The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function.

Mathematics
1 answer:
egoroff_w [7]3 years ago
8 0

1. Vertical shift, when k is outside of the parenthesis it indicates the translation up or down. Positive k is up and negative k is down.

2. Horizontal shift, when k is inside of the parenthesis it indicates the translation left or right. BE CAREFUL: positive k is left and negative k is right. Don’t get these mixed up

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Simplify the expression.<br><br> [(11 - 4)^3]^2 ÷ (4 + 3)^5
MAXImum [283]

Answer:

<h2>7</h2>

Step-by-step explanation:

\left[\left(11\:-\:4\right)^3\right]^2\:\div \left(4\:+\:3\right)^5\\\\\frac{\left(\left(11-4\right)^3\right)^2}{\left(4+3\right)^5}\\\\\mathrm{Subtract\:the\:numbers:}\:11-4=7\\\\=\frac{\left(7^3\right)^2}{\left(4+3\right)^5}\\\\\mathrm{Add\:the\:numbers:}\:4+3=7\\\\=\frac{\left(7^3\right)^2}{7^5}\\\\\left(7^3\right)^2=7^6\\\\=\frac{7^6}{7^5}\\\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{7^6}{7^5}=7^{6-5}\\\\\mathrm{Subtract\:the\:numbers:}\:6-5=1\\\\=7

5 0
3 years ago
Find the solution to the system 9x−4y=−13 and 9x−2y=−20
BaLLatris [955]

Answer:

x = -3, y = -3.5.  As an ordered pair it is (-3, -3.5).

Step-by-step explanation:

9x − 4y = −13

9x − 2y =  -20

Subtract:-

-2y = 7

y = -3.5.

Substitute for y in the first equation:

9x - 4(-3.5) = -13

9x =  -27

x = -3.

3 0
3 years ago
Complete the sentence ​
ryzh [129]

Answer: b, d

Step-by-step explanation:

Corresponding angles are formed when two parallel  straight lines are cut by a transversal

\angle b=62^{\circ}

In the figure, \angle d\ \text{and}\ 62^{\circ} are alternate angle

\therefore \angle d=62^{\circ}

3 0
2 years ago
Pencils were ordered in boxes containing 6 pencils each. The grade level has 100 students. If the teachers want to start the yea
Bezzdna [24]

Answer:

67

Step-by-step explanation:

(4*100)/6

=400/6

=66.67

Round to get 67

6 0
2 years ago
What are 3 complex fractions that simplify to 1/4??
Aleksandr-060686 [28]
<span>Give 3 complex fractions that simplify to ¼
Complex fractions are bigger fractions that can be simplified into smaller fractions.</span> <span>=> First is 15 / 60
     15/60 = 1 /4
=> second is 50/200
50/200 = 1 / 4
=> Third is 43/172
43/172 = 1 / 4

There are many possible answer. There are infinite complex fractions that can be simplified to 1 /4. I only gave 3 examples to show how simplified fraction works.</span>



3 0
3 years ago
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