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Ugo [173]
2 years ago
11

An amusement park opens daily at 9:30 a.m. This morning the parking lot for the amusement park opened at 8:00 a.m. At 9:00 a.m.,

there were 132 cars in the parking lot. The parking attendants noticed that every half hour between 9:00 a.m. and 10:30 a.m., the number of cars in the parking lot tripled. What type of function appropriately models this situation?
Mathematics
2 answers:
Llana [10]2 years ago
6 0

Answer:

9:00 am

Step-by-step explanation:

Eddi Din [679]2 years ago
4 0

Answer:

An exponential function

Step-by-step explanation:

So let's suppose that at 9:00 am there were 132 cars. We'll call this P_0

P_{0}=132

On the next half an hour, let's say at 9:30, the number of cars trippled, this is:

P_{1}=132*3=396

the next half an hour, at 10:00 am, the number of cars trippled, this is:

P_{2}=132*3*3=1188

and finaly, at 10:30am, the number of cars trippled again, so:

P_{3}=132*3*3*3=3564

We can now see a pattern there which can be simplified as:

P(n)=P_{0}(3)^{n}

or

P(n)=132(3)^{n}

where:

P_{0}=initial number of cars

n=number of half hours after 9:00 a.m

P_{n}= number of cars after n number of half hours.

That function we found there is an exponential function, which represents an initial amount being multiplied by the same number several times.

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Can someone help me
sergij07 [2.7K]

Answer:

1)  (c)∠ G = 34°

2) (a)  x = 33°

3) (d) The perpendicular segments are  JM, KL, PQ AND NR.

Step-by-step explanation:

Here in the given questions:

1)  p II r

⇒ ∠ G  = 34°  (ALTERNATE EXTERIOR ANGLES)

Hence, the measure of  ∠ G = 34°

2) In the given triangle:

The measure of exterior angle is always the sum of interior opposite angles.

⇒ Here, x + 72°  = 105°

or, x = 105° - 72° =   33°   , or x = 33°

3) The given plane in the cube is JKPN

The segments which have J , K , P and N as their one vertex are perpendicular to the given plane.

Hence, the segments are  JM, KL, PQ AND NR.

7 0
3 years ago
I think of a number and add 6. The result is equal to twice the first number
brilliants [131]

Answer:

A. X+6=6x

X+6=6(x)

Step-by-step explanation:

B. 3+6=3×6

9=18

5 0
3 years ago
Wels at its next
xenn [34]

This question is not correctly written

Complete Question

The Henderson Hawks minor-league baseball team is giving away baseballs an

game. The balls cost $3 each and the towels cost $2 each. The team wants to give away 200 items and have 500 to spend. How many of each item should the team give away Show your

work or explain your reasoning.

Answer:

They should give away 100 balls and 100 towels

Step-by-step explanation:

Let the number of balls = x

Let the number of towels = y

x + y = 200........ Equation 1

y = 200 - x

$3 × x + $2 × y = $5000

3x + 2y = 5000...... Equation 2

3x + 2(200 - x)= 5000

3x + 400 - 2x = 5000

Collect like terms

3x - 2x = 500 - 400

x = 100

Number of balls to be given away = 100

Note:

y = 200 - x

y = 200 - 100

y = 100

Number of towels to be given away = 100

Therefore, they should give away 100 balls and 100 towels

3 0
3 years ago
Researchers at a pharmaceutical company have found that the effective time duration of a safe dosage of pain relief drug is norm
FrozenT [24]

Answer:

a) P(1

b) P(X

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Part a

Let X the random variable that represent the duration of a safe dosage of pain relief drug, and for this case we know the distribution for X is given by:

X \sim N(1.5,0.8)  

Where \mu=1.5 and \sigma=0.8

We are interested on this probability

P(1

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(1

And we can find this probability on this way:

P(-0.625

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-0.625

3) Part b

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability on this way:

P(z

6 0
3 years ago
Solve for x.<br> ­a = bx<br> A) (­-b)\a<br> B) b -­ a<br> C) (­-a) + b<br> D) (­-a)/b
Andreyy89
I doubt the options you've mentioned here.
The correct answer should be x=a/b
3 0
3 years ago
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