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Lera25 [3.4K]
3 years ago
11

my dad is 40 miles away at work...if he leaves work at 6:24pm...and travels at an average of 43 miles per hour...what time is he

at home? plz help
Mathematics
2 answers:
Yanka [14]3 years ago
6 0
Travel 40 miles at a rate of 43 miles per hour equals 40/43 = 0.93 hr = 55.81 min. round up to 56 min.

So take 56 min added to 6:24pm equals 7:20pm approx.

Thanks for the entertainment.
ExtremeBDS [4]3 years ago
3 0
If his speed is 43 mph, then it takes him 40/43 of an hour to go 40 miles.

An hour = 60 minutes.

40/43 of 60 minutes = 55.8 minutes. He gets home 55.8 minutes after 6:24 PM.
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What is the square root of 10
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Step-by-step explanation:

the square root of 10 is approximately 3.16228

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Help write them in standard form 20points do all
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3 years ago
Find an equation of the tangent to the curve x =5+lnt, y=t2+5 at the point (5,6) by both eliminating the parameter and without e
svet-max [94.6K]

ANSWER

y = 2x -4

EXPLANATION

Part a)

Eliminating the parameter:

The parametric equation is

x = 5 +  ln(t)

y =  {t}^{2}  + 5

From the first equation we make t the subject to get;

x - 5 =  ln(t)

t =  {e}^{x - 5}

We put it into the second equation.

y =  { ({e}^{x - 5}) }^{2}  + 5

y =  { ({e}^{2(x - 5)}) }  + 5

We differentiate to get;

\frac{dy}{dx}  = 2 {e}^{2(x - 5)}

At x=5,

\frac{dy}{dx}  = 2 {e}^{2(5 - 5)}

\frac{dy}{dx}  = 2 {e}^{0}  = 2

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

y-y_1=m(x-x_1)

y - 6 = 2(x - 5)

y = 2x - 10 + 6

y = 2x -4

Without eliminating the parameter,

\frac{dy}{dx}  =  \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} }

\frac{dy}{dx}  =  \frac{ 2t}{  \frac{1}{t} }

\frac{dy}{dx}  =  2 {t}^{2}

At x=5,

5 = 5 +  ln(t)

ln(t)  = 0

t =  {e}^{0}  = 1

This implies that,

\frac{dy}{dx}  =  2 {(1)}^{2}  = 2

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

y-y_1=m(x-x_1)

y - 6 = 2(x - 5) =

y = 2x -4

5 0
3 years ago
At a football game a vender sold a combined total of 240 sodas and hot dogs the number of sodas sold was three times the number
Sidana [21]

Answer:

60 hot dogs and 180 soda

Step-by-step explanation:

Soda was sold 3 times the number of hot dogs, and there were 240 in total.

So the equation would be:

3x + x = 240

3x being the number of soda and x being the number of hot dogs which like i sad earlier adds up to 240.

3x + x = 240

4x = 240

x= 60

60 being the amount of hot dogs and 3 time of soda would be 180 and adding them both up would be 240

8 0
2 years ago
Read 2 more answers
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