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3 years ago

Which answers describe the end behaviors of the function modeled by the graph? f(x)=4 1/3x+3 , Select each correct answer.

Mathematics

1 answer:

bezimeni [28]3 years ago

7 0

Answer:

As x decreases without bound, f(x) approaches the line y=3 .

As x increases without bound, f(x) increases without bound.

Step-by-step explanation:

From the given graph f(x), we can see that

When x increases the value of y also increases

When x decreases the y values goes close to 3 but it does not cross 3

As x goes to positive infinity , y approaches positive infinity

As x increases without bound, f(x) increases without bound.

As x goes to negative infinity, y values approaches +3

As x decreases without bound, f(x) approaches the line y=3

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A rain gutter is to be constructed of aluminum sheets 12 inches wide. After marking off a length of 4 inches from each edge, thi

nikklg [1K]

The statement gives you the function that models the Area as a function of angle theta, and is telling the value of this angle.

Then, you only need to replace the value of the angle in the function, to obtain the requested area.

A(Θ) = 16 sin Θ • (cos Θ + 1).

Θ = 60°

A(60°) = 16 sin(60°) * [cos(60°) + 1 ] = 16 * (√3) / 2 * [1/2 + 1] = 8(√3) * 3/2 = 12√3 ≈ 20.79

Answer: 20.8 in^2

4 0

3 years ago

A particular paper included the accompanying data on the tar level of cigarettes smoked for a sample of male smokers who subsequ

Dafna1 [17]

Answer:

Check the explanation

Step-by-step explanation:

$H_0$ :proportion of male smoker lung deaths is same for the four given tar level categories.

$H_1$ :proportion of male smoker lung deaths is not the same for the four given tar level categories.

Expected frequency=1177/4=294.25

Tar level Observed Freq.(O) Expected Freq.(E) (O-E)^2/E

0-7 107 294.25 120.435

8-14 375 294.25 5.643

15-21 553 294.25 227.533

>=22 183 294.25 42.061

Total= 1177 1177 395.673

Total chi square score=395.673

df=4-1=3

p-value=CHIDIST(395.673,3)<0.001

p-value<0.001,Reject null hypothesis.

There is sufficient evidence that the proportion of male smoker lung deaths is not the same for the four given tar level categories.

5 0

3 years ago

Raul is making a scale model of an airplane that had a wingspan of 44 feet. If Raul's scale model is 1/16 the size of the actual

dangina [55]

Answer:

The wingspan of his model is 2.75 feet.

Step-by-step explanation:

Given:

Raul is making a scale model of an airplane that had a wingspan of 44 feet.

If Raul's scale model is 1/16 the size of the actual airplane.

Now, to find the wingspan of his model.

Length of the airplane wingspan = 44 feet.

As given, Raul's scale model is 1/16 the size of the actual airplane.

Now, to get the wingspan of his model:

$\frac{1}{16} \ of\ 44$

$=\frac{1}{16} \times 44\\\\=\frac{44}{16} \\\\=2.75\ feet.$

Therefore, the wingspan of his model is 2.75 feet.

6 0

3 years ago

The 2nd term in a geometic sequence is 20. the fourth term in the same sequence is 45/4 or 11.25. what is the common ratio in th

Over [174]

Let x be the value of the third term.
Since it's a geometric sequence, then:
Third term/Second term = Fourth term/Third term
x/20 = 11.25/x
Cross multiplication:
x^2 = 225
x = 15
So since the ratio is constant, then it is
x/20 = 15/20 = 3/4
So the common ratio is 3/4 or 0.75.

8 0

3 years ago

Erica and her sister Laura are making baby blankets to sell at a boutique. Erica has already completed 10 blankets and can finis

telo118 [61]

Answer:

Laura and Erica will both have made 16 blankets in one more day.

Step-by-step explanation:

i) Erica has made 10 blankets already.

ii) Erica can make 6 blankets more per day

iii) Laura has completed 6 blankets already

iv) Laura can complete 10 more blankets per day.

v) Let x be the number of days to the point when they will have completed the same number of blankets

vi) Therefore the number of blankets that Erica makes till x days is = to the number of blankets that Laura makes till x days

vi) therefore 10 + 6x = 6 + 10x ⇒ 4x = 4 ⇒ x = 1 day

vii) Therefore Laura and Erica will both have made 16 blankets in one more day.

6 0

3 years ago