There are 6 blades on each windmill how many total blades are on 7 vwindmills? use fives facts to solves

Antonio's toy boat is bobbing in the water under a dock. The vertical distance HHH (in \text{cm}cmstart text, c, m, end text) be

musickatia [10]

Answer: Time t = 33.0 seconds

Step-by-step explanation:

Given that the vertical distance H between the dock and the top of the boat's mast t seconds after its first peak is modeled by the function

H(t) = 5cos( 2π/3 t) − 35.5H

Where the maximum vertical distance = 5

At the down position, H(t) = 0

5cos( 2π/3 t) − (35.5/100)H = 0

5cos( 2π/3 t) − 0.355 × 5 =0

5cos( 2π/3 t) − 0.1775 = 0

5cos( 2π/3 t) = 0.1775

cos( 2π/3 t) = 0.1775/5

cos( 2π/3 t) = 0.355

2π/3 t = cos^-1 (0.355)

2π/3 t = 69.2

2πt = 69.2 × 3

2πt = 207.6

t = 207.6/2π

t = 33.0 seconds

3 0

2 years ago

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Let f(x)=−3x. The graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 u

deff fn [24]

<h2>Answer:</h2>

Ques 1)

$g(x)=-12x+48$

Ques 2)

$g(x)=|3x|+4$

<h2>Step-by-step explanation:</h2>

Ques 1)

We know that if a graph is stretched by a factor of a then the transformation if given by:

f(x) → a f(x)

Also, we know that the translation of a function k units to the right or to the left is given by:

f(x) → f(x+k)

where if k>0 then the shift is k units to the left

and if k<0 then the shift is k units to the right.

Here the graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right.

This means that the function g(x) is given by:

$g(x)=4f(x-4)\\\\i.e.\\\\g(x)=4(-3(x-4))\\\\i.e.\\\\g(x)=-12(x-4)\\\\i.e.\\\\g(x)=-12x+48$

Ques 2)

We know that the transformation of the type:

f(x) → f(x)+k

is a shift or translation of the function k units up or down depending on k.

If k>0 then the shift is k units up.

and if k<0 then the shift is k units down.

Here, The graph of the function f(x)=|3x| is translated 4 units up.

This means that the transformed function g(x) is given by:

$g(x)=|3x|+4$

4 0

2 years ago

A recent survey shows that the probability of a college student drinking alcohol is 0.6. further, given that the student is over

Murrr4er [49]

Answer:

0.24

Step-by-step explanation:

These events are not mutually exclusive; this means they can happen at the same time.

For two events A and B that are not mutually exclusive,

P(A and B) = P(A) * P(B|A)

Let A be the event "over 21 years old" and B be the event "drinks alcohol".

The probability that a student is over 21 years old is 0.3; this is because 30% of the students are over 21 years old.

The probability that a student drinks alcohol given they are over 21 is 0.8.

This gives us

P(A and B) = 0.3(0.8) = 0.24

8 0

2 years ago

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An angle t is drawn from the center of the unit circle. Find a formula in terms of t for the straight line distance d between th

Doss [256]

Answer:

$d = \sqrt{2}\cdot \sqrt {1-\cos t - \sin t}$

Step-by-step explanation:

Let suppose that one of the radii meets the circle at the point (1,0). The straight line distance formula is:

$d = \sqrt{(\cos t - 1)^{2}+(\sin t - 1)^{2}}$

$d = \sqrt{(\cos^{2}t - 2\cdot \cos t + 1)+(\sin^{2}t - 2\cdot \sin t + 1)}$

$d = \sqrt{2-2\cdot (\cos t + \sin t )}$

$d = \sqrt{2}\cdot \sqrt {1-\cos t - \sin t}$

5 0

2 years ago

Maddie is reading a graph of equivalent ratios. One point on the graph is (4, 5). Maddie says (10, 8) is also on the graph. Is M

dmitriy555 [2]

Yes and no, (4, 5) multiplied by 2 is (10, 8) but reversed. It depends on how you look at it because (10, 8) would be on the other side of the graph than (8, 10) which is the actually equivalent.

6 0

2 years ago

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