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Sophie [7]
3 years ago
10

1. Andrew ran a marathon in about 1.56 x 10^4 s. (a) Write Andrews time in standard notation. (b) Evelyn ran a marathon in 4 h a

nd 16 min. Who ran the shortest amount of time? Show your work. Answer:
Mathematics
1 answer:
romanna [79]3 years ago
7 0

Answer:

  • (a)  15,600 s
  • (b)  Evelyn

Step-by-step explanation:

(a) 1.56×10^4 = 1.56×10000 = 15,600

(b) There are 3600 seconds in an hour, so Andrew's time was

  15600 s/(3600 s/h) = 13/3 h = 4 1/3 h

1/3 hour is 20 minutes, so Evelyn's time of 4:16 is shorter than Andrew's time of 4:20.

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The radius of a circle is 6 inches. What is the length of a 135-degree arc?
svp [43]
14.14 inches

Convert 135° into radians. 135*2pi/360=3pi/4.
6*3pi/4=18pi/4=9pi/2=14.14

Another viable method is to do 2pi*6*135/360=14.14
8 0
2 years ago
The equation for the cross section of a parabolic satellite television dish is y = 1/45 x2, measured in inches. How far is the f
patriot [66]

Answer:

11.25

Step-by-step explanation:

The equation for a parabola is:

y − k = 1/(4p) (x − h)²

where (h, k) is the vertex and p is the distance from the focus to the vertex.

1/(4p) = 1/45

4p = 45

p = 11.25

The distance from the vertex to the focus is 11.25 inches.

3 0
3 years ago
Creating a One-Variable Equation to Model and Solve a Problem
guajiro [1.7K]

Answer:

The hourly fee for rototiller is $3 per hour.

Step-by-step explanation:

We are given the following in the equation:

The rental company  charged an initial fee of $43 with an additional fee per hour.

Let h represents the hourly fee.

The family paid $64 after renting the rototiller for 7 hours.

Thus, we can write the equation:

43 + 7h = 64

Solving the equation, we get,

43 + 7h = 64\\7h = 64-43\\7h = 21\\\Rightarrow h = 3

Thus, the hourly fee is $3 per hour.

Equation:

C(x) = 43 + 3x

where C(x) is the cost function and x is the number of hours rototiller is rented.

The hourly fee for rototiller is $3 per hour.

4 0
3 years ago
Question 3(Multiple Choice Worth 4 points) (05.05)The width of a rectangle is shown below: A coordinate plane with a point A at
olganol [36]
D 4/147
FTC +65-/325
Junk. 5(-4)
8 0
3 years ago
When does it reach maximum height?<br><br> H(t)=-16t^2+112t+288
ivolga24 [154]

Answer:

484 feet  maximum

Step-by-step explanation:

H(t)=-16t^2+112t+288

The maximum height occurs at the vertex of this graph.  

Let us find the vertex.

vertex x-coordinate = -b/2a

x =  -b/2a = -(112)/ (2*-16) =  7/2 sec.

H(7/2) = - 16 *(7/2)^2 + 112*(7/2) +  288

H(7/2) = -196 + 392 + 288 = 484 feet ..

5 0
3 years ago
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