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Yuri [45]
3 years ago
7

What is expanded form

Mathematics
2 answers:
Serggg [28]3 years ago
4 0
Expanded form is a way to write numbers by adding the value of its digits.
ahrayia [7]3 years ago
3 0
It's when you break a number down.example 5,678 in expanded form it is 5,000,600,70,8
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A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr
Rufina [12.5K]
The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\
Logarithm both sides of the equation:
ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
A = 120 000 000 * e ^{0.0083*17}  \\ 
A = 120 000 000 * e^{0.1411}   \\ 
A = 120 000 000 * 1.15 \\ 
A = 138 000 000

Thus, the population will be 138 million in 2014

8 0
3 years ago
Plz help i wil mark u banlyest
Lapatulllka [165]

Answer:

B

Step-by-step explanation:

when you flip across the y axis you change the signs of the x coordinate but not the y coordinate.

5 0
3 years ago
The interior angles of a triangle are
lbvjy [14]

Answer:

8x+13y = 130

Step-by-step explanation:

sum of interior angles in a triangle is 180 degree

interior angles are (5x+3y)∘,(3x+20)∘, and (10y+30)

add all the angles and make it equal to 180

5x+3y+3x+20+10y+30= 180

combine like terms

5x+3y+3x+20+10y+30= 180

8x+13y+x+50= 180

subtract 50 from both sides

8x+13y = 130

4 0
2 years ago
on Sunday yassif swam 15 2/5 miles in 2.1 hours. What was Yassifs swimming pace in miles per hour? SHOW YOUR WORK
Igoryamba

Change the first to a decimal

15 2/5 = 15 4/10 = 15.4 miles

15.4 miles

------------

2.1 hours

7.33333333(repeating) miles/hour

7 1/3 miles per hour

5 0
3 years ago
What's the area of each shaded sectors shown?..I don't understand how to work it out
sweet-ann [11.9K]
First use the formula 3.14 times radius squared to figure out the area of each circle.

The figure out the fraction of each circle that is highlighted and find out the area of that percent)
(e. x. 51 degrees out of 360 degrees = 14%      14% of the area of the circle is about 39.4)
7 0
3 years ago
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