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son4ous [18]
3 years ago
9

A truck is leaving a post office and heading out to deliver mail. The table shows the truck's distance d from the post office at

time t. Calculate the average rate of change over the interval from 8 to 15 minutes.

Mathematics
1 answer:
ankoles [38]3 years ago
6 0

Answer:

1km per minute

Step-by-step explanation:

Given the table in the picture :

The average rate of change over the interval from 8 to 15 minutes will be :

Change in distance / change in time

Change in distance between 8 and 15 minutes :

Distance d1 at 8 minutes t1 = 7km

Distance d2 at 15 minutes t2 = 14km

Average rate of change = (d2 - d1) / (t2 - t1)

Average rate of change = (14 - 7)km / (15 - 8)min

Average rate of change = 7km / 7minutes

Average rate of change = 1km per minute

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12
Anna [14]

5 x 3²⁴  bacteria will there be after one day.

What is exponents?

Exponentiation could be a calculation, written as bⁿ, involving 2 numbers, the bottom b and also the exponent or power n, and pronounced as "b to the n".

Consider what is actually happening in the question.

You begin with 5 bacteria, and after 1 hour it has tripled so you now have

5x 3=15.

Next hour, it triples again so you now have 5 x 3 x 3=45

You can see the pattern shows that the number of bacteria is multiplying every hour by a factor of 3. An exponent denotes how many times we are multiplying a number by itself, for example: 3⁴  means we are multiplying the number 3 a total of 4 times (3 x 3 x 3 x 3).

Therefore the question is requiring us to triple the number of bacteria every hour for 24 hours, which means we are multiplying by 3 a total of 24 times. This gives us:

n x 324 where n is the number of bacteria you begin with.

Since you begin with 1 bacteria, the solution is 5 x 3²⁴.

Hence 5 x 3²⁴  bacteria will there be after one day.

To know more about exponents , visit:

brainly.com/question/13669161

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8 0
1 year ago
5. Use the law of Cosines to find each missing sides. Round to the nearest tenth
stellarik [79]

The measure of angle x will be 88 degrees. Then the correct option is C.

The complete question is attached below.

<h3>What is law of cosine?</h3>

Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

2ab cos θ = a² + b² – c²

The triangle is shown below.

Then the value of the variable x will be

2 · 7 · 10 · cos x = 7² + 10² – 12²

       140 · cos x = 49 + 100 – 144

                cos x = (149 – 144) / 140

                       x = 87.95 ≈ 88°

Then the correct option is C.

Learn more about law of cosines here:

brainly.com/question/17289163

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8 0
2 years ago
The quadratic function y = -10x2 + 160x - 430 models a store's daily profit (y), in dollars, for selling T-shirts priced at x do
Paraphin [41]

Answer:

shall I have to answer for x pls tell

4 0
3 years ago
A culture of bacteria grows in a lab according to the model B = 600e^(kt) where t is the measured in hours. The culture reaches
OverLord2011 [107]

9514 1404 393

Answer:

  k ≈ 0.03719

Step-by-step explanation:

Fill in the given numbers and solve for k.

  750 = 600e^(6k)

  1.25 = e^(6k)

  ln(1.25) = 6k . . . . . take the natural log

  k = ln(1.25)/6 . . . . . divide by 6

  k ≈ 0.03719

5 0
3 years ago
What is the cost of 400g at 25p per kg
enyata [817]
This ans should be
400/1000 * 25=10p
6 0
3 years ago
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