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4 years ago

Given:

Mathematics

2 answers:

vichka [17]4 years ago

7 0

Answer:

answer is

[12 -4 -2]

[-8 -13 8]

[8 15 18]

Step-by-step explanation:

got it right on e2020

ElenaW [278]4 years ago

5 0

Answer:

[ 13 -1 -71

-6 1 19]

Step-by-step explanation:

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F(x) = 4x + 5; Find f(8)= Evaluate

e-lub [12.9K]

Answer:

f(8)=4(8) +5

=32 +5

=37

3 0

3 years ago

Cos x cos (-x) -sin x sin (-x) = 1. Verify the Identity. Please Show All Steps.

umka21 [38]

Answer:

cos x cos (-x) -sin x sin (-x) = 1 ⇒ proved down

Step-by-step explanation:

* Lets revise the angles in the four quadrants

- If angle x is in the first quadrant, then the equivalent angles to it are

# 180 - x ⇒ second quadrant (sin (180 - x) = sin x , cos (180 - x) = -cos x

tan (180 - x) = -tan x)

# 180 + x ⇒ third quadrant (sin (180 - x) = -sin x , cos (180 - x) = -cos x

tan (180 - x) = tan x)

# 360 - x ⇒ fourth quadrant (sin (180 - x) = -sin x , cos (180 - x) = cos x

tan (180 - x) = -tan x)

# -x ⇒fourth quadrant (sin (- x) = -sin x , cos (- x) = cos x

tan (- x) = -tan x)

* Lets solve the problem

∵ L. H .S is ⇒ cos x cos (-x) - sin (x) sin (-x)

- From the rules above cos x = cos(-x)

∴ cos x cos (-x) = cos x cos x

∴ cos x cos (-x) = cos² x

- From the rule above sin (-x) = - sin x

∴ sin x sin (-x) = sin x [- sin x]

∴ sin x sin (-x) = - sin² x

∴ cos x cos (-x) - sin (x) sin (-x) = cos² x - (- sin² x)

∴ cos x cos (-x) - sin (x) sin (-x) = cos² x + sin² x

∵ cos² x + sin² x = 1

∴ R.H.S = 1

∴ L.H.S = R.H.S

∴ cos x cos (-x) -sin x sin (-x) = 1

8 0

3 years ago

The ages of members of an online gaming group are normally distributed with a mean of 23 years and a standard deviation of 4 yea

Lelechka [254]

To get the number of members between 15 years and 30 years we proceed as follows:
z=(x-μ)/σ
where:
mean,μ=23
standard deviation, σ=4 years
thus
P(15<x<31)
when x=15
P(x<15)
z=(15-23)/4
z=-2
thus
P(x<15)=P(z<-2)=0.0228

when x=31
z=(31-23)/4
z=2
thus
P(x<31)=P(z<2)=0.9772
Hence:
P(15<x<31)=0.9544
hence the number of members between that age was:
0.9544×300
=286.32 people
~285 People
Answer: 285 people

5 0

4 years ago

Find the value of x a) 1 b) 31 c) 24 d) 14

Furkat [3]

So the right answer is 14.

Look at the attached picture

Hope it will help you

Good luck on your assignment

6 0

3 years ago

Use the given x and y values to write a direct variation equation. x = 5, y = 25

Anuta_ua [19.1K]

Answer:

k= 1/5

Step-by-step explanation:

x is proportional to y

x = ky (k is const.)

k = x/y

k= 5/25

k = 1/5

7 0

3 years ago

Read 2 more answers