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3 years ago

15

rollercoaster can accommodate 1600 passengers per hour. If you are number 346 in line, how many minutes do you have to wait?

1 answer:

Effectus [21]3 years ago

8 0

Answer:

13.31 minutes

Step-by-step explanation:

800 in 30min

400 in 15 min

26 passengers in an min

346/26

13.31 minutes

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The perimeter of the aqua rectangle is 72 feet. What is the measure of the rectangle’s longest side?

dimulka [17.4K]

Answer:

53

Step-by-step explanation:

72 = x + 3x - 4

72 = 4x - 4

72 + 4 = 4x - 4 + 4

76 = 4x

76/4 = 4x/4

x = 19

3(19) - 4 = 53

Hope this helps!

8 0

2 years ago

The liquid base of an ice cream has an initial temperature of 86°C before it is placed in a freezer with a constant temperature

Karolina [17]

The temperature of the ice cream 2 hours after it was placed in the freezer is 37.40 °C

From Newton's law of cooling, we have that

$T_{(t)}= T_{s}+(T_{0} - T_{s})e^{kt}$

Where

$(t) = \ time$

$T_{(t)} = \ the \ temperature \ of \ the \ body \ at \ time \ (t)$

$T_{s} = Surrounding \ temperature$

$T_{0} = Initial \ temperature \ of \ the \ body$

$k = constant$

From the question,

$T_{0} = 86 ^{o}C$

$T_{s} = -20 ^{o}C$

∴ $T_{0} - T_{s} = 86^{o}C - -20^{o}C = 86^{o}C +20^{o}C$

$T_{0} - T_{s} = 106^{o} C$

Therefore, the equation $T_{(t)}= T_{s}+(T_{0} - T_{s})e^{kt}$ becomes

$T_{(t)}=-20+106 e^{kt}$

Also, from the question

After 1 hour, the temperature of the ice-cream base has decreased to 58°C.

That is,

At time $t = 1 \ hour$ , $T_{(t)} = 58^{o}C$

Then, we can write that

$T_{(1)}=58 = -20+106 e^{k(1)}$

Then, we get

$58 = -20+106 e^{k(1)}$

Now, solve for $k$

First collect like terms

$58 +20 = 106 e^{k}$

$78 =106 e^{k}$

Then,

$e^{k} = \frac{78}{106}$

$e^{k} = 0.735849$

Now, take the natural log of both sides

$ln(e^{k}) =ln( 0.735849)$

$k = -0.30673$

This is the value of the constant $k$

Now, for the temperature of the ice cream 2 hours after it was placed in the freezer, that is, at $t = 2 \ hours$

From

$T_{(t)}=-20+106 e^{kt}$

Then

$T_{(2)}=-20+106 e^{(-0.30673 \times 2)}$

$T_{(2)}=-20+106 e^{-0.61346}$

$T_{(2)}=-20+106\times 0.5414741237$

$T_{(2)}=-20+57.396257$

$T_{(2)}=37.396257 \ ^{o}C$

$T_{(2)} \approxeq 37.40 \ ^{o}C$

Hence, the temperature of the ice cream 2 hours after it was placed in the freezer is 37.40 °C

Learn more here: brainly.com/question/11689670

6 0

2 years ago

Read 2 more answers

How can you add the fractions 3/10 and 2/5? Explain

Vinvika [58]

3/10+ 2/5
= 3/10+ 4/10 (common denominator is 10)
= 7/10

The final answer is 7/10~

5 0

3 years ago

Read 2 more answers

What is the probability of selecting two cards from a deck of cards with replacement?

motikmotik

Certin, because they can be any two cards.

7 0

3 years ago

Justin cuts a 10-inch-long roll of cookie dough into 6 equal-length pieces. How many inches long is each piece of cookie dough?

mixas84 [53]

Answer: Each piece is 1 2/3 inch length.

Step-by-step explanation:

Total length of cookie dough =10-inch

Since it is being into divided into 6 equal-length pieces

We have that each piece will have=1 0-inch / 6 = 5/3 = 1 2/3 inch length.

6 0

3 years ago