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katen-ka-za [31]
3 years ago
10

The scatter plot below shows the relationship between drop height and speed of a roller coaster.

Mathematics
1 answer:
attashe74 [19]3 years ago
3 0

Answer: I believe it is Response 3

Step-by-step explanation:

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Which geometric shape are quadrilaterals that have only one pair of parallel sides ?
nikitadnepr [17]
Quadratic trapezoids have only one pair of parallel sides
8 0
3 years ago
Helpppppppp!! I will mark brainliest if you show work!
Murrr4er [49]

Answer:

$798

Step-by-step explanation:

Jack invested $7100 compounded continuously at an interest rate of 3⅝% which is 0.03625

Formula for future value of continuous compounding is;

FV = PVe^(rt)

Where;

FV is future value

PV is present value

r is interest rate

t is time

After 19 years;

FV = 7100 × e^(0.03625 × 19)

FV = $14137.697

Henry invested $7100 compounded monthly at an interest rate of 3⅜% which is 0.03375.

Formula for FV of monthly compounding is;

FV = PV(1 + i)^(n)

FV = 7100(1 + 0.03375)^(19)

FV = $13339.922

Thus, amount Jack has more than Henry = 14137.697 - 13339.922 = $797.775

Approximating to the nearest dollar gives $798

5 0
2 years ago
Kyle boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotat
SpyIntel [72]

Answer:

a) The expression for the change in angular position is \theta = 5\cdot t.

b) The expression for the height of Ryan regarding the center of the Ferris wheel is H(t) = 40\cdot \sin (5\cdot t).

c) The expression for the height of Ryan above the ground is H(t) = 40\cdot \sin (5\cdot t) + 47.

Step-by-step explanation:

The statement is incomplete. Complete form is introduced below:

<em>Kyle boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 5 radians per minute and has a radius of 40 feet. The center of the Ferris wheel is 47 feet above the ground. Let t represent the number of minutes since the Ferris wheel stated rotating.</em>

<em>a)</em><em> Write an expression (in terms of t) to represent the varying number of radians </em>\theta<em> Ryan has swept out since the ride started.</em>

<em>b)</em><em> Write an expression (in terms of t) to represent Ryan's height (in feet) above the center of the Ferris wheel.</em>

<em>c)</em><em> Write an expression (in terms of t) to represent Ryan's height (in feet) above the ground. </em>

a) Let suppose that Ferris wheel rotates counterclockwise. As the Ferris wheel rotates at constant rate, this kinematic expression can be used to determine the change in angular position (\theta), in radians:

\theta = \omega \cdot t (1)

Where:

\omega - Angular velocity, in radians per minute.

t - Time, in second.

If we know that \omega = 5\,\frac{rad}{min}, then the expression for the change in angular position is \theta = 5\cdot t.

b) Geometrically speaking, Ryan's height with respect to the center of the Ferris wheel is described by the following formula:

H(t) = r \cdot \sin (\omega\cdot t) (2)

Where:

r - Radius of the Ferris wheel, in feet.

H(t) - Height of Ryan with respect to the center of the Ferris wheel, in feet.

If we know that \omega = 5\,\frac{rad}{min} and r = 40\,ft, then the expression for the height of Ryan regarding the center of the Ferris wheel is H(t) = 40\cdot \sin (5\cdot t).

c) We use the following geometric expression to model Ryan's height above the ground:

H(t) = r\cdot \sin (\omega\cdot t) +h_{o} (3)

Where h_{o} is the height of the center of the Ferris wheel above the ground, in feet.

If we know that h_{o} = 47\,ft, \omega = 5\,\frac{rad}{min} and r = 40\,ft, then the expression for the height of Ryan above the ground is H(t) = 40\cdot \sin (5\cdot t) + 47.

5 0
3 years ago
Help meeeeeeeeeeeee.....
Nataly_w [17]

Answer:

Meredith runs <em><u>90</u></em> meters in 1 min

Step-by-step explanation:

The information says that she runs at a rate of 90 meters per minute.

90 meters in 1 min

180 meters in 2 min

5 0
3 years ago
. Emma wanted to make an origami fish for each of her 22 classmates. She takes 30 minutes to make one fish. How long will Emma t
zzz [600]

Answer:

11 hours

Step-by-step explanation:

50 minutes = 1 hour

30 minutes = 1/2 hour

She takes 1/2 per fish.

1/2 * 22 = 11

Answer: 11 hours

3 0
2 years ago
Read 2 more answers
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