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iragen [17]
3 years ago
12

a path that is 7/8 of a mile long is divided into sections that are two sixteenth of a mile long how many sections are created?

simplify 2/16 first to make your work easier.​
Mathematics
1 answer:
docker41 [41]3 years ago
6 0

Answer:

There are going to be 7 sections in the path

Step-by-step explanation:

First Step:

Simplify 2/16 in 1/8

Second Step:

Since the path is 7/8 of a mile long, and the sections are 1/8 of a mile long. There will be 7 sections because 1/8 will go into 7/8 7 times.

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2.The number of grams A of a certain radioactive substance present at time, in yearsfrom the present, t is given by the formulaA
professor190 [17]

Answer:

Given that,

The number of grams A of a certain radioactive substance present at time, in years

from the present, t is given by the formula

A=45e^{-0.0045(t)}

a) To find the initial amount of this substance

At t=0, we get

A=45e^{-0.0045(0)}A=45e^0

We know that e^0=1 ( anything to the power zero is 1)

we get,

A=45

The initial amount of the substance is 45 grams

b)To find thehalf-life of this substance

To find t when the substance becames half the amount.

A=45/2

Substitute this we get,

\frac{45}{2}=45e^{-0.0045(t)}

\frac{1}{2}=e^{-0.0045(t)}

Taking natural logarithm on both sides we get,

\ln (\frac{1}{2})=-0.0045(t)^{}(-1)\ln (\frac{1}{2})=0.0045(t)\ln (\frac{1}{2})^{-1}=0.0045(t)\ln (2)=0.0045(t)0.6931=0.0045(t)t=\frac{0.6931}{0.0045}t=154.02

Half-life of this substance is 154.02

c) To find the amount of substance will be present around in 2500 years

Put t=2500

we get,

A=45e^{-0.0045(2500)}A=45e^{-11.25}A=45\times0.000013=0.000585A=0.000585

The amount of substance will be present around in 2500 years is 0.000585 grams

4 0
1 year ago
N which number does the digit 5 have a value that is ten times greater than the value of the digit 5 in the number 245,093?
OLEGan [10]

Answer:

53,901

Step-by-step explanation:

Here is the complete question :

In which number does the digit 5 have a value that is ten times greater than the value of the digit 5 in the number 245,093?

43,567

45,248

53,901

562,011

In the number 245,093 :

3 = units

9 = tens

0 = hundred

5 = thousand

4 = ten thousand

2 = hundred thousand

the value of 5 in the number is 5000. the number that would have a value that it 10 times greater than 5 in 245,093 must occupy the value  of ten thousand.

looking through the options, it is only in 53,901 that 5 occupies a value of ten thousand

6 0
3 years ago
Pls help due in 15 mins!!
ella [17]

your first constant of propotionality is 10

The  second constant of propotionality 5

7 0
3 years ago
Read 2 more answers
Alejandro has gone to school StartFraction 5 Over 7 EndFraction of the last 35 days. Which expression can be used to determine t
Katarina [22]

Answer:

35 times StartFraction 5 Over 7 EndFraction

Step-by-step explanation:

Alejandro has gone to school (5/7) of the last 35 days.

We need to find the expression that can be used to determine the number of days Alejandro has gone to school.

x=\dfrac{5}{7}\times 35\\\\=5\times 5\\\\=25

So, the correct option is (b) "35 times StartFraction 5 Over 7 EndFraction".

6 0
3 years ago
What is the difference between rates and proportions???
frez [133]
A rate often involves time:  e. g., 33 feet per second; also, we are finding the ratio of one type of measurement with respect to another:  distance and time.

A proportion is often the ratio of different measures of the same thing:

e. g.   5 apples
          ------------
           7 apples
6 0
3 years ago
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