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3 years ago

Jason's boat can travel 24 3/4 miles in 1/2 hour. What is his average speed in miles per hour ?

Mathematics

2 answers:

asambeis [7]3 years ago

7 0

His boat can go $49.5mph$

Papessa [141]3 years ago

4 0

49 and a half miles an hour.

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In a physics laboratory experiment, a coil with 200 turns en-closing an area of 12 cm2 is rotated in 0.040 s from a position whe

Alla [95]

Answer: (a) Magnetic flux before rotation is 7.2 × 10^-8 Wb and magnetic flux after rotation is 0

(b) The average emf induced in the coil is 3.6×10^-4 V

Step-by-step explanation:

Here is the complete question:

In a physics laboratory experiment, a coil with 200 turns en-closing an area of 12 cm2 is rotated in 0.040 s from a position where its plane is perpendicular to the earth’s magnetic field to a position where its plane is parallel to the field. The earth’s magnetic field at the lab location is 6.0×10^−5T. (a) What is the total magnetic flux through the coil before it is rotated? After it is rotated? (b) What is the average emf induced in the coil?

Step-by-step explanation: Please see the attachments below

7 0

3 years ago

-Let f(x)=15−9x^2+3x^3

Alisiya [41]

Answer:

The intervals on which f is increasing are (- ∞, 0) ∪ (2, ∞)

and the interval on which f is decreasing is (0, 2)

P(0, 15) is local maximum

P(2, 3) is a local minimum

The intervals on which f is increasing are (- ∞, 0) ∪ (2, ∞)

and the interval on which f is decreasing is (0, 2)

P(1, 9) is the inflection point

Step-by-step explanation:

Let

f(x) = 15−9x²+3x³

then we can apply

f'(x) = 0 ⇒ (15 − 9x² + 3x³)' = -18x + 9x² = 0

⇒ 9x*(x - 2) = 0

⇒ x₁ = 0 ∧ x₂ = 2

When - ∞ < x < 0

Example: x = -1

f'(-1) = -18*(-1) + 9*(-1)² = 18 + 9 = 27 > 0

⇒ f'(x) > 0

When 0 < x < 2

Example: x = 1

f'(1) = -18*(1) + 9*(1)² = -18 + 9 = -9 < 0

⇒ f'(x) < 0

When 2 < x < ∞

Example: x = 3

f'(3) = -18*(3) + 9*(3)² = -54 + 81 = 27 > 0

⇒ f'(x) > 0

The intervals on which f is increasing are (- ∞, 0) ∪ (2, ∞)

and the interval on which f is decreasing is (0, 2)

We can find f(x₁) and f(x₂) as follows

f(x₁) = f(0) = 15−9(0)²+3(0)³ = 15

f(x₂) = f(2) = 15−9(2)²+3(2)³ = 15 - 36 + 24 = 3

P(0, 15) is local maximum

P(2, 3) is a local minimum

Now, we can apply

f"(x) = 0 ⇒ (-18x + 9x²)' = -18 + 18x = 0

⇒ 18*(x- 1) = 0

⇒ x = 1

When - ∞ < x < 1

Example: x = 0

f"(0) = 18*(0- 1) = -18 < 0

⇒ f"(x) < 0

When 1 < x < ∞

Example: x = 2

f"(0) = 18*(2- 1) = 18 > 0

⇒ f"(x) > 0

then

the interval on which f is concave up is (1, ∞) and

the interval on which f is concave down is (- ∞, 1)

We can find f(1) as follows

f(1) = 15−9(1)²+3(1)³ = 9

P(1, 9) is the inflection point

4 0

3 years ago

Guys please help me with this !!!! Right answers plz

ziro4ka [17]

Answer:

42.5

Step-by-step explanation:

When you do the bottom corners, it 2x2 divided 2 then you do 2x2, then 5x2 divided by 2 you do 3.5x9.0 when you add all of them up you get 42.5.

4 0

4 years ago

Which of the coordinate points below will fall on a line where the constant of proportionality is 1/4? Select all that apply. A)

kompoz [17]

Answer:

A) (4,1) C) (12,3) D) (20,5)

Step-by-step explanation:

Required

Which has a constant of proportionality of 1/4

To solve this, we make use of:

$y = kx$

Where k is the constant of proportionality.

Solve for x

$k = y/x$

<u>Testing the given options</u>

A) (4,1)

$k = y/x$

$k =1/4$

B) (8,12)

$k = y/x$

$k =12/8$

$k =3/2$

C) (12,3)

$k = y/x$

$k = 3/12$

$k = 1/4$

D) (20,5)

$k = y/x$

$k = 5/20$

$k = 1/4$

E) (12,6)

$k = y/x$

$k =6/12$

$k =1/2$

4 0

3 years ago

How many solutions does y=15x+1 and y=15x+2 have

Eddi Din [679]

Answer:

no solution exists

Step-by-step explanation:

6 0

4 years ago