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4 years ago

What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f( 2 3 x)?

Mathematics

2 answers:

BigorU [14]4 years ago

7 0

Answer:

horizontal stretching

Step-by-step explanation:

shutvik [7]4 years ago

6 0

........................I would say f of X

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Given sin(−θ)=−1/6 and tanθ=−√35/35 What is the value of cosθ?

murzikaleks [220]

Answer:

$cos(\theta)=-\frac{\sqrt{35} }{6}$

Step-by-step explanation:

Recall the negative angle identity for the sine function:

$sin(- \theta)=-sin(\theta)$

Then, we can find the value of $sin(\theta)$ :

$sin(\theta)=-sin(-\theta)\\sin(\theta) =-(-\frac{1}{6} )\\sin(\theta)= \frac{1}{6}$

Now recall the definition of the tangent function:

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

Therefore, now that we know the value of $sin(\theta)$ , we can solve in this equation for $cos(\theta)$

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}\\-\frac{\sqrt{35} }{35} =\frac{1/6}{cos(\theta)} \\cos(\theta)=-\frac{\frac{1}{6} }{\frac{\sqrt{35} }{35} } \\cos(\theta)=-\frac{35}{6\,\sqrt{35} } \\cos(\theta)=-\frac{\sqrt{35} }{6}$

5 0

3 years ago

Find the area of the entire figure.

MakcuM [25]

Answer:

$\large\boxed{A=171.555\ in^2}$

Step-by-step explanation:

We have the right triangle and the trapezoid.

The formula of an area of a right triangle:

$A_{triangle}=\dfrac{ab}{2}$

a, b - legs

We have the length of the legs 12in and 13.42 in. Substitute:

$A_{triangle}=\dfrac{(12)(13.42)}{2}=80.52\ in^2$

The formula of an area of a trapezoid:

$A_{trapezoid}=\dfrac{(b_1+b_2)h}{2}$

b₁, b₂ - bases

h - height

We have the length of the bases 18in and 11.75in and the length of the height 6.12in. Substitute:

$A_{trapezoid}=\dfrac{(18+11.75)(6.12)}{2}=\dfrac{(29.75)(6.12)}{2}=91.035\ in^2$

The area of the figure:

$A=A_{triangle}+A_{trapezoid}$

Substitute:

$A=80.52+91.035=171.555\ in^2$

5 0

4 years ago

Christina, Kandace, and Devan together sold 43 tickets for the school dance. Christina sold 12 tickets and Kandace sold 17 ticke

Lena [83]

You take 43 and subtract 12 to get 31, then take 31 to subtract 17 to get 14
The answer is A

5 0

3 years ago

Read 2 more answers

In the figure, m∠AOB = m∠COD. Which property of equality will you use to prove m∠AOC = m∠BOD?

Cerrena [4.2K]

Answer:

transitive

.......gguf

4 0

3 years ago

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Errors in the programming language Python can be broadly classified into two types, syntax errors, and logical errors. When writ

Alenkasestr [34]

Answer:

Step-by-step explanation:

a( Pr(no syntax error) = 1-Pr(syntax error arises)

Pr(no syntax error) = 1 -0.3

Pr(no syntax error) = 0.7

b) Pr(no error occurred) = 1-Pr(both error occurred)

Pr(no error occurred) = 1-0.1

Pr(no error occurred) = 0.9

c) Pr(any type of error occurred) = Pr(syntax error occur)+Pr(logical)

Pr(any type of error occurred) = 0.5+0.3 = 0.8

d) Pr(syntax and logical) = Pr(syntax occur)+Pr(logical or syntax occur)

= 0.3+0.1

= 0.4

e) Independent event are events that occurs at the same time. The occurrence of one does not affect the other.

Pr(logical and syntax) = pr(syntax)×pr(logical)

Given

pr(syntax)×pr(logical) = 0.3×0.5 = 0.15

From the question, Pr(logical and syntax) = Pr(both error occurred) = 0.1

Since Pr(logical and syntax) ≠ pr(syntax)×pr(logical), this means that the errors are not independent

5 0

3 years ago