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Paul [167]
3 years ago
13

A Formula one car travels at 850 feet every 10 seconds. If the Car is 2550 feet from the finish line, How much time will it take

for him to finish the race?
Mathematics
1 answer:
Vinvika [58]3 years ago
4 0

Answer:

30 seconds

Step-by-step explanation:

speed= 850 feet / 10 seconds = 85 feet/ second

distance = 2550

time= distance/speed

= 2550 divided by 85

= 30 seconds

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Evaluate lim x→∞ (3x+1)^(4/x), using l'hospital's rule as needed. show all work using proper notation. as you show your work, if
Alborosie
\displaystyle\lim_{x\to\inty}(3x+1)^{4/x}=\lim_{x\to\infty}e^{\ln(3x+1)^{4/x}}=e^{\lim\limits_{x\to\infty}\ln(3x+1)^{4/x}}

\displaystyle\lim_{x\to\infty}\ln(3x+1)^{4/x}=\lim_{x\to\infty}\frac{4\ln(3x+1)}x\stackrel{\mathrm{LHR}}=\lim_{x\to\infty}\frac{4\frac3{3x+1}}1=\lim_{x\to\infty}\frac{12}{3x+1}=0

\implies\displaystyle\lim_{x\to\infty}(3x+1)^{4/x}=e^0=1
4 0
3 years ago
The midpoint of VW is M(2, 4). One endpoint is W(1, 7). Find the coordinates of the other endpoint V.
kkurt [141]

Answer:

V(3, 1)

Step-by-step explanation:

4 0
3 years ago
A radiator contains 10 quarts of fluid, 30% of which is antifreeze. How much fluid should be drained and replaced with pure anti
prohojiy [21]

ANSWER

Find out the how much fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

To proof

let us assume that the fluid should be drained and replaced with pure antifreeze be x .

As given

A radiator contains 10 quarts of fluid, 30% of which is antifreeze.

Now write 30% in the decimal form

= \frac{30}{100}

Now write 60% in the decimal form

= \frac{60}{100}

After  drained and replaced the fluid with pure antifreeze than the quantity becomes = ( 10 - x )

The quantity of  antifreeze is

= \frac{30\times (10 - x)}{100}

The fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

than the equation becomes

= x + \frac{30\times ( 10 - x )}{100} = \frac{60\times10}{100}

solyving

100x +300 - 30x = 600

70x = 300

x = \frac{300}{70}

x = 4.28 quarts (approx)

Hence 4.28 quarts (approx) fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

Therefore the option (c.) is correct .

3 0
3 years ago
Read 2 more answers
Each batch of cupcakes requires 1/4 cups of milk. If emony has 4 1/8 cups of milk, how many cupcakes can he make?
statuscvo [17]

16 1/2

1/4 of milk is required to make a cupcake. 4x4 would equal 16. the 1/8 is half od whats required to make a cupcake. So you can make 16 1/2 cupcakes.

3 0
3 years ago
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The LSN basketball team had 292 fans at a game. Adults paid $3.00 to get in and students paid $2.00. A total of $756.00 was coll
rjkz [21]

Answer:

x (378) + y (378) =

Step-by-step explanation:

First i split 756.00 in half so basically what ever is multiplied by two to get 756 and i got 378. So since x = 3.00 and y = 2.00, it would come out to this:

3.00 x 378 = x (378) =

2.00 x 378 = y (378) =

So:

x (378) + y (378) =

im sorry if i got it wrong-

5 0
3 years ago
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