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lisov135 [29]
2 years ago
10

Suppose that the functions p and q are defined as follows. HELP PLEASE

Mathematics
1 answer:
nadezda [96]2 years ago
3 0

Answer:

25, 9

Step-by-step explanation:

(p . q)(8) means do q first to 8 then do p to that, which is the same as writing p(q(8)). Then just plug the numbers in.

q(8)=√8+8=√16=4

p(4)=4^2+9=16+9=25

The second one is the opposite order but same reasoning.

p(8)=8^2+9=64+9=73

q(73)=√73+8=√81=9

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Part 1: Write mathematical equations of sinusoids.
Ilya [14]

Answer:

Part 1: Write mathematical equations of sinusoids.

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

a) What is the phase shift, c, of this curve? (2 points)

b) What is the vertical shift, d, of this curve? (2 points)

c) What is the amplitude, a, of this curve? (2 points)

d) What is the period and the frequency factor, b, of this curve? (2 points

e) Write an equation using the cosine function that models this data set. (5 points)

2. The following points are a minimum and a maximum of a sinusoid. Complete the following steps to

model the curve using the sine function

Step-by-step explanation:

<em> </em><em>p</em><em>l</em><em>z</em><em> </em><em>f</em><em>o</em><em>l</em><em>o</em><em>w</em><em> </em><em>m</em><em>e</em>

5 0
2 years ago
please help :{ brainliest if you can get it right and I need you to prove why your answer is correct, thanksss​
beks73 [17]

Answer:

The Value of a=\frac{15}{4}.

Step-by-step explanation:

We have Named the figure please find the attachment for your reference.

Given:

PR = y

QR = a

RS = b

PS = z

PQ = x

QS = 15

∠P = 90°

∠R = 90°

∠Q = 60°

∠S = 30°

We need to find the Value of 'a'.

Solution:

Now we know that:

In Δ PQS

∠P = 90°

∠S = 30°

Now we know that;

sin\ \theta = \frac{opposite\ side}{Hypotenuse}

sin \ S= \frac{PQ}{QS}

Substituting the given values we get;

sin\ 30\°=\frac{x}{15}

Now we know that;

sin\ 30\° = \frac12

So we can say that;

\frac{1}{2}=\frac{x}{15}\\\\x=\frac{15}{2}

Now In Triangle PQR.

∠R = 90°

∠Q = 60°

So we can say that;

Cos \theta = \frac{adjacent \ Side}{Hypotenuse}\\

Cos\ Q = \frac{QR}{PQ}

Substituting the given values we get;

cos 60\°= \frac{a}{x}

Now we know that;

cos 60\°= \frac12

x=\frac{15}{2}

So substituting the values we get;

\frac{1}{2}=\frac{a}{\frac{15}{2}}

By Using Cross Multiplication we get;

a= \frac{1}{2}\times\frac{15}{2}\\\\a=\frac{15}{4}

Hence The Value of a=\frac{15}{4}.

6 0
3 years ago
Find the sum of the first<br>20 odd numbers.​
konstantin123 [22]

Answer:

Hi there.....

Step-by-step explanation:

This is ur answer......

1, 3, 5, 7, 9, 11, 13, 15.................39

Therefore the total sum = 400

hope it helps you,

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7 0
3 years ago
Read 2 more answers
Find the value of 17- n when n=8
jenyasd209 [6]
The answer is nine: 17 minus 8 is 9
4 0
3 years ago
Read 2 more answers
Find the center and radius of this circle x^2+y^2-6x-10y+30=0
Vsevolod [243]

Answer:

The circle's centre is at the position (3, 5), and it has a radius of 2

Step-by-step explanation:

First let's put it in a useful format by completing the squares:

x² + y² - 6x - 10y + 30 = 0

x² - 6x + y² - 10y = -30

x² - 6x + 9 + y² - 10y + 25 = -30 + 9 + 25

(x - 3)² + (y - 5)² = 4

This tells us that the centre position is (3, 5) and the radius is √4, or 2

5 0
2 years ago
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