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alina1380 [7]
3 years ago
6

Which function is a shrink of the exponential growth function shown on the graph?

Mathematics
2 answers:
galina1969 [7]3 years ago
5 0
The answer of this question is B.
Katen [24]3 years ago
5 0

Answer:

the correct answer is B. 1/4

Step-by-step explanation:

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You bicycle along a straight flat road with a safety light attached to one foot. Your bike moves at a speed of 15 km/hr and your
Viefleur [7K]

Answer:

a)

x(t) = ( 4.167 t + 0.2 cos (2πt))

y(t) = ( 0.3 - 0.2 sin  (2πt))

b) the  foot have to be 3.32 rev/sec faster

Step-by-step explanation:

Given that:

the speed of the bike = 15 km/hr = 15 × 1000/3600 (m/sec) = 4.167 m/sec

radius of the circle when the foot moves = 20 cm = 0.2 m

radius of the circle above the ground = 30 cm = 0.3 m

Let assume that:

x(t)  should represent the vector along the horizontal moment

y(t) should be the vector along the vertical moment

The initial component will be ( 0, 0.3)

We know that the radius of the circle is given as 0.2 m, So the vector of the circle can be written as (0.2 cos t , 0.2 sin t )

Also, the foot makes one revolution in a second, definitely the frequency of the revolution = 1 and the vector for the circle is ( 0.2 cos (2πt), -0.2 sin  (2πt)), due to the fact that the foot moves clockwise.

Thus, adding all the component together ; we have:

(x(t), y(t)) = (0,0.3)+(4.167 t , 0)+(0.2 cos (2πt), -0.2 sin  (2πt))

(x(t), y(t)) = (4.167 t + 0.2 cos (2πt), 0.3 - 0.2 sin  (2πt))

Hence; the parametric equations are:

x(t) = ( 4.167 t + 0.2 cos (2πt))

y(t) = ( 0.3 - 0.2 sin  (2πt))

b)

The linear speed of rotation is :

15km/hr = 15 × 100, 000/3600 (cm/sec)

             = 416.7 cm/sec

The rotational frequency is :

= 416.7/2πr

= 416.7/2(3.14 × 20)

= 3.32 rev/sec

Hence, the  foot have to be 3.32 rev/sec faster in rotating if an observer standing at the side of the road sees the light moving backward.

4 0
3 years ago
Read 2 more answers
Yo i need help wit 17 and 18 i’ll give u a brainliest you please
cricket20 [7]

Answer:

17. See below

18. 750

Step-by-step explanation:

17. Since the lollipops are being sold at the same price, 50 cents, for each one sold, they make a constant amount of money. For each increase in lollipops sold, there is a constant increase in money made, and thus the situation is a linear function.

18. To solve this equation, let's say y is the money made at the convention in dollars and x is the number of lollipops sold. If the principal gave them 125 dollars before they sold any lollipops (0 lollipops sold), then 125 is the y-intercept of the function, and in the equation y=mx+b, b=125. If each lollipop costs 50 cents (half of a dollar), then for each lollipop, x, sold, .5 dollars are made and are added to the profit, y. Thus, .5 dollars is the slope. The equation then becomes:

y=0.5x+125

Now, if they need 500 dollars, y is thus equal to 500 dollars. Solving the equation:

500=0.5x+125

500-125=0.5x

375=0.5x

\frac{375}{0.5} =x

375*2=x

750=x

Thus, 750 lollipops must be sold.

3 0
3 years ago
Solve independent system equations for: <br><br>5x-9y=-65<br>10x-3y=20<br>x=?<br>y=?<br>​
Sergio039 [100]
5x-9y=-65
10x-3y=20

Multiple the first equation by 2
10x-18y=-130
10x -3y=20
Then subtract the two equations to get rid of the x

21y=-150
Divide the -150 by 21
Y=-7.14

Plug the y into the original equation. (Either one)

5x-9(-7.14)=-65
5x-64.28=-65
Then add 64.28 to the -65
5x=-0.72
Divide by 5
X=-0.144

I hope this is right
3 0
3 years ago
Choose a number line to model the following situation: Sheldon drove 15 miles east and then drove 35 miles west.
lys-0071 [83]

Answer:

Made a number line for this.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How many times do you subtract 7 from 1999 and 5 from 1701 to get an equal number?
blsea [12.9K]

Answer:

<h2>149 times.</h2>

Step-by-step explanation:

Let n be the number we are looking for.

The we have to solve this equation:

1999 - 7n = 1701 - 5n

⇔ 1999 - 1701 = 7n - 5n

⇔ 298 = 2 n

⇔ n = 298/2

⇔ n = 149

<u><em>Verification</em></u> :

1 999 - 7×149 = 956

1 701 - 5×149 = 956

5 0
2 years ago
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