Answer:
A:linear function for both :
beach: y=-2x+100 (x=0, y=100)
dunes=5x+20 ( when x=0, y=20 (year1995)
B: after almost 11 years: it will be year 2006 and 2007 (after 11.429 years)
C: when the two rates of erosion are equal at the rate of 77 and almost 11 years
-2x+100=5x+20
-2x-5x=-100+20
-7x=-80
-80/-7=x
x=11.429
y=77.143
If the length of side of base is 14 inches and height is 6 inches of pyramid a then the volume of pyramid a is 12.5% of pyramid b and volume of pyramid a is 8 times bigger than volume of pyramid b.
Given the length of side of base of pyramid a is 14 inches , height of pyramid a is 6 inches and volume of pyramid b is 3136 cubic inches.
We have to determine the percentage and number of times that volume of b is bigger than volume of pyramid b.
Volume of a square pyramid=base area * height/3
Base area = Side * side
=14*14
=196 inches square.
Volume of pyramid a =196*6/3
=392 cubic inches.
Percentage=Volume of pyramid a / volume of pyramid b*100
=392/3136*100
=12.5%
Let the number of times be x.
So,
392*x=3136
x=3136/392
=8 times.
Hence the volume of pyramid b is 8 times bigger than volume of pyramid a and the percentage is 12.5%.
Learn more about volume at brainly.com/question/1972490
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A set is a well-defined collection of objects. Each object in a set is called an element of the set. Two sets are equal if they have exactly the same elements in them.
A set is a subset of another set if all elements of the set are elements of the set . In other words, the set is contained inside the set . The subset relationship is denoted as A ⊂ B .The relationship of one set being a subset of another is also called inclusion or we can say Set B may have more elements than A does.
Option 4 .Set B may have more elements than A does is the right answer.
Answer:
She will get 1.52 back in change
Step-by-step explanation:
We need to subtract the amount of the purchase from the 10 dollars
I like to line it up vertically.
10.00
- 8.48
-------------
We need to borrow
9. 100
- 8. 48
-------------
And borrow again
9.9 10
- 8.4 8
-------------
1 . 5 2
She will get 1.52 back in change
Answer:
The rating of a brand that costs $3.00 per bag is 7.
Step-by-step explanation:
A simple linear regression equation is used to estimate the value of the dependent variable based upon the independent variable.
The general form of a simple linear regression equation is:
Here,
y = dependent variable
x = independent variable
a = intercept
b = slope
The output of the least squares regression analysis for predicting rating from price is provided.
So, the dependent variable is the ratings and the independent variable is the price.
The regression equation for predicting rating from price is:
Predict the rating of a brand that costs $3.00 per bag as follows:
Thus, the rating of a brand that costs $3.00 per bag is 7.
