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2 years ago

A cyclist travels 3 miles in 15 minutes. what is her average speed in mph

Mathematics

1 answer:

Misha Larkins [42]2 years ago

7 0

Answer:

12 mph

Step-by-step explanation:

Step 1: Convert 15 minutes to hours

15/60

1/4

0.25 hours

Step 2: Divide 3 by 0.25 hours

12 mph

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Consider a series circuit consisting of a resistor of R ohms, an inductor of L henries, and variable voltage source of V(t) volt

ser-zykov [4K]

Answer:

$I(t)=\frac{1}{3}(1-e^{-30t})$

Step-by-step explanation:

We are given that

$\frac{dI}{dt}+\frac{R}{L}I=\frac{V(t)}{L}$

R=150 ohm

L=5 H

V(t)=10 V

$P=\frac{R}{L}=\frac{150}{5}=30$

$I.F=e^{\int Pdt}=e^{\int 30 dt}=e^{30 t}$

$I(t)\times I.F=\int e^{30 t}\times 10 dt+C$

$I(t)\times e^{30 t}=\frac{10}{30}e^{30 t}+C$

$I(t)=\frac{1}{3}+Ce^{-30 t}$

I(0)=0

Substitute t=0

$0=\frac{1}{3}+C$

$C=-\frac{1}{3}$

Substitute the values

$I(t)=\frac{1}{3}-\frac{1}{3}e^{-30 t}$

$I(t)=\frac{1}{3}(1-e^{-30t})$

5 0

3 years ago

I need help finding this answer because I am pretty sure it’s C but I don’t know

malfutka [58]

Answer: A) -9

Step-by-step explanation:

If x = -2

Then $3^{x}$ = $3^{-2}$

So, it is -9

5 0

2 years ago

A blueprint of a sailboat has a sail in the shape of a

Anni [7]

Answer:

Step-by-step explanation:

T is at (1,2)

where x = 1 and y = 2

so if it's reflected over the x axis then it moves down wards. to (1, -2)

4 0

3 years ago

SHORT RESPONSE Two angles of a triangle have measures of 35° and 80°. Find the values of the exterior angle measures of the tria

Oduvanchick [21]

Answer:

Step-by-step explanation:

Before giving the exterior angles, find the third angle. A triangle (all triangles) measure 180 degrees.

35 + 80 + x = 180

115 + x = 180

x = 180 - 115

x = 65

Exterior angles are supplements of the interior angles.

So the exterior angle to 65 degrees is 180 - 65 = 115

And the exterior angle to 35 degrees is 180-35 = 145

The exterior angle to 80 degrees is 180 - 100 = 80

5 0

2 years ago

What percent of 40 is 5

horsena [70]

Answer:

12.5%

Step-by-step explanation:

Five divided by 40 is 12.5

6 0

3 years ago