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nalin [4]
3 years ago
13

Rachel is a stunt driver, and she's escaping from a building that is about to explode! DDD represents Rachel's remaining distanc

e (in meters) as a function of time ttt (in seconds). D=-38t+220D=−38t+220D, equals, minus, 38, t, plus, 220 What is Rachel's speed?
Mathematics
1 answer:
skelet666 [1.2K]3 years ago
4 0

Answer:

38 m/s

Step-by-step explanation:

We are given that

D represent Rachel's remaining distance( in meters ) as  a function of time is given by

D=-38t+220

We have to find the Rachel's speed.

We know that

Velocity=\frac{ds}{dt}

Substitute the values then we get

v=\frac{d(-38t+220)}{dt}=-38 m/s

Speed =\mid v\mid

Speed =\mid -38\mid =38m/s

Hence, the Rachel's speed is given by =38 m/s

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0.5 (x-3) = 3x - 2.5 how many solutions
Nimfa-mama [501]

Answer:

There is 1 solution.

Step-by-step explanation:

0.5(x - 3) = 3x - 2.5

0.5x - 1.5 = 3x - 2.5

-2.5x = -1

x = 0.4

There is 1 solution.

4 0
3 years ago
Point-slope equation of the line through (6,4) and (7,2)
Monica [59]

Answer:

-2

Step-by-step explanation:

You should use the formula Y2-Y1/X2-X1.


2-4/7-6


5 0
3 years ago
(a): How many miles does the train travel per gallon?<br> (b):What is the slope of the graph?
drek231 [11]

since the graph has direct variation as data in x axis increases y also increases.

so we need to find how many miles travelled per galloon .

we distance travelled per gallon =total distance travelled/galoons of fuel used.

Distance travelled per gallon=200 miles/400 gallons=0.5 litres travelled per gallon

for part b) slope=rise/run

m=(y2-y1)/(x2-x1)

y2=400  y1=0 x1=0 x2=200

m=(400-0)/(200-0)=2

slope of the graph is 2

5 0
2 years ago
5. Daniel arrives at his campsite out of breath from his swim and jog. His sister tells him that he should have swam to the boat
frosja888 [35]

Answer:

hello your question is incomplete attached below is the complete question

answer :

<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>

Step-by-step explanation:

<u>First determine the time it will take Daniel to reach the Boat and the jogging time</u>

time = distance / rate

where distance can be calculated using this equation: sin 53° = 400 / x

hence x ( distance ) = 500 ft

rate = 150

therefore Time ( t )  to reach boat = 500 / 150 = 3.33 minutes

Time for jogging ( as calculated ) = 3.69 minutes

therefore total time taken by Daniel = 3.33 + 3.69 = 7.02 minutes

<u>Finally determine if Daniel's sister is correct that he should have swam to the boat ramp and then jogged </u>

lets assume Distance to swim  =  x  ( according his sister )

determine the value of x = \sqrt{400^2 + 1400^2 }   therefore X = 1456.02 feet

∴

Total time to be taken if Daniel follows his sister's instruction  = 1456.02 / 150 = 9.71 minutes

<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>

<u />

<u />

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6 0
3 years ago
What is the line of symmetry for the parabola whose equation is y = 3x2 + 24x - 1? x = -8 x = -6 x = -4
Viktor [21]
X= -b/2a = -24/6 = -4
4 0
3 years ago
Read 2 more answers
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