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madam [21]
3 years ago
8

The Mississippi River is about 4,000 kilometers long. An M&M is about 1 centimeter long. There are 100 centimeters in a mete

r, and 1,000 meters in a kilometer. Estimate how many M&Ms it would take to measure the length of the Mississippi River
Mathematics
1 answer:
harkovskaia [24]3 years ago
4 0
To be able to determine the number of M&Ms that are needed in order to measure the length of Mississippi River, we convert the units to a common one. For this purpose, we convert kilometers to centimeter such that,
 
Length of Mississippi River = (4000 km)(1000 m/1 km)(100 cm/1 m)
                       = 400,000,000 cm

Since there are 400,000,000 cm in the entire length of the river, the answer would also be 400,000,000. 
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The weight of a radioactive isotope was 96 grams at the start of an experiment. After one hour, the weight of the isotope was ha
zimovet [89]
The starting weight of the radioactive isotope = 96 grams

Weight after one hour is half of the starting weight. So the weight of the radioactive isotope after 1 hour = 48 grams

After 2 hours the weight is half as compared to the weight after previous hour. So weight after 2 hours = 24 grams.

This means, after every hour the weight is being halved. The half life of radioactive isotope is one hour.

Since after every hour, the weight is being halved, the weight of the isotope can be modeled by an exponential equation.

So,

Initial Weight = W₁ = 96
Change factor = 1/2 = 0.5

The general equation of the sequence will be:

\\  \\ W_{t}=96(0.5)^{t}

Here t represents the number of hours. Using various values of t we can find the weight of the radioactive isotope at that time.

We can plot the sequence using the above equation. The graph is attached below.

3 0
3 years ago
Read 2 more answers
F(z) = (z - 5)(2x + 7) (73 = 3) has zeros at x = -3.5, x=3/7 , x=5 What is the sign of f on the interval 3/7 < x <5?
Gwar [14]
<h3>Answer:     Negative</h3>

======================================================

Explanation:

3/7 = 0.42857 approximately

Pick a number between that value and 5, not including either endpoint. Let's say we pick x = 2

Plug x = 2 into the f(x) function

f(x) = (x - 5)(2x + 7)(7x-3)

f(2) = (2 - 5)(2*2 + 7)(7*2-3)

f(2) = (2 - 5)(4 + 7)(14-3)

f(2) = (-3)(11)(11)

f(2) = -363

The actual result doesn't matter. All we're after is whether the result is positive or negative. We see the result is negative. This means f(x) is negative when 3/7 < x < 5. The f(x) curve is below the x axis on this interval.

3 0
3 years ago
I need help lolsssss
MissTica

Answer:

$0.75 per song

Step-by-step explanation:

Given that the relationship between variable s and c is a proportional relationship, and is represented by the equation, c = 0.75s.

Where,

c = total costs

s = number of songs

The constant of proportionality, k, = 0.75.

Thus, 0.75 represents the cost per sing downloaded.

The answer is:

✔️$0.75 per song

7 0
3 years ago
David wants to install a fence fence around his garden. The garden is rectangular and has an area of 240 square feet. One side o
Ilya [14]
Find the length of each side 240÷12=20    20 is the other length. 
12•$18=$216   for the street side and 20+20+12=52  is the total length of the other sides 52•$15=$780  is the total cost of other 3 sides  780+216=996
the total cost is $996. Hope this helped
6 0
3 years ago
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Sofia's grandfather has 18 sacks of candies. There are 348 pieces in each sack of candies. How many candies does Sofia's grandfa
sleet_krkn [62]

Answer:

18 x 348 = 6,264.

Sofia's grandfather has 6,264 candies in total.

5 0
3 years ago
Read 2 more answers
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