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Nutka1998 [239]
3 years ago
7

It takes chris 30 mininutes to walk to work it takes him 1/3 of the time to drivewhat is the latesest time he can drive to work

and arrive at 8:00
Mathematics
1 answer:
kramer3 years ago
6 0
It takes Chris 10 minutes to drive, so the latest time he can leave home for work would be 7:50 a.m.
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The gravitational force exerted by the planet Earth on a unit mass at a distance r from the center of the planet is:
jolli1 [7]

Answer:

Yes, F is a continuous function of r

Step-by-step explanation:

We are given that

When r<R

F(r)=\frac{GMr}{R^3}

r\geq R

F(r)=\frac{GM}{r^2}

Where M=Mass of the earth

R=Radius of earth

G=Gravitational constant

We have to find the function is continuous of r or not.

LHL

\lim_{r\rightarrow R-}\frac{GMr}{R^3}=\frac{GMR}{R^3}=\frac{GM}{R^2}

RHL

\lim_{r\rightarrow R+}\frac{GM}{R^2}=\frac{GM}{R^2}

F(R)=\frac{GM}{R^2}

When a function is continuous at x=a

Then, LHL=RHL=f(a)

RHL==LHL=F(R)

Hence, the function is continuous of r.

8 0
3 years ago
You drive a car that holds 15 gallons of gasoline. Your car uses 0.03 gal per mile. Which equation best represents this informat
Digiron [165]
Option B is the correct answer because you start with 15 gallons (y-intercept), and the car consumes or decreases at 0.03 gal/per mile (your slope or m).
6 0
3 years ago
Factor Completely: -3x - 9
uranmaximum [27]

Step-by-step explanation:

-3x-9

divide the equation by -1 so that the -1's are taken from -3x and -9. so the -1 goes on the outside of 3x+9

-1(3x+9)

then divide the equation by 3 since 3x and 9 is divisible by 3.

(-1)(3)(3/3x+9/3)

-3(x+3)

Now we can expand again to check the problem

-3 times x=-3x

-3 times 3=-9

and add

-3x-9

Hope that helps :)

7 0
3 years ago
Lines AB and CD and are parallel. Find the measures of the three angles in triangle ABF.
Airida [17]

Answer:    ∠B = 42°   ∠A = 23°  ∠F = 115°

Step-by-step explanation:

∠B≅∠C  alternate interior angles  42°

  ∠CDF is supplementary to ∠CDE,

so m∠CDF = 23°  and ∠FAB≅∠CDF so m∠FAB= 23°

<em>also ∠A ≅ CDE  corresponding angles  157° ∠FAB is suplementary to ∠A </em>

<em>so 180 - 157 = 23 gives the m∠FAB</em>

The sum of the angles of a triangle is 180°, so m∠AFB = 180 -(23 +42)

180- 65 = 115 = m∠F

3 0
3 years ago
What is the least common denominator of<br> 1/3 and 5/9
crimeas [40]

Answer:

<h2>LCD = 9</h2>

Equivalent Fractions with the LCD

1/3 = 3/9

5/9 = 5/9

Solution:

Rewriting input as fractions if necessary:

1/3, 5/9

For the denominators (3, 9) the least common multiple (LCM) is 9.

LCM(3, 9)

Therefore, the least common denominator (LCD) is 9.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

1/3 = 1/3 × 3/3 = 3/9

5/9 = 5/9 × 1/1 = 5/9

4 0
3 years ago
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