A patio has a length of 8 feet and a width of x + 2 feet . Write and expression in simplest form for the perimeter of the patio
Answers
Answer:
2(x + 10)
Step-by-step explanation:
The perimeter is all the sides added together so you times the length by 2, (8 × 2 = 16). Then the width by 2 ( 2 × (x+2) = 2x + 4) add them together
16 + 2x + 4
2x + 20
take out the highest common factor of 2
2(x + 10)
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Matthew and lizbeth are college students. Matthew has $87 in his bank account. then he spends $112 on books for school. spends $130 on books she will have greater debt than Matthew. show are explain why lizbeth thinking is correct or incorrect. Enter your work or explanation in the box provided
How does -1 to the 6th power equal -1? shouldn't it be positive?
Answers
Answer:
20 ; 40 ; 80 ; 10(2^n)
Step-by-step explanation:
Given that:
Initial amount of goo (p) = 10 gram
Total amount of goo increased by 100% every hour ;
How much goo will she have sfter 1 hour?After 2 hours? After 3 hours? After n hours?
Using the relation :
Final amount = initial * (1 + rate)^t
Rate = 100% = 100/100 = 1
t = number of hours
Hence, after 1 hour :
Final amount = 10(1 + 1)^1
Final amount = 10(2)^1 = 20 grams
After 2 hours : t = 2
Final amount = 10(1 + 1)^2
Final amount = 10(2)^2 = 10 * 4 = 40 grams
After 3 hours ; t = 3
Final amount = 10(1 + 1)^3
Final amount = 10(2)^3 = 10 * 8 = 80 grams
After n hours ; t = n
Final amount = 10(1 + 1)^n
Final amount = 10(2)^n grams
Answers
Answer:
$392.37
Step-by-step explanation:
Data provided in the question:
The total finance charges paid for the year = $957
Joseph's total business charges on the card = 41% of all the charges
Now,
The amount of interest expense can be deducted on Joseph's Schedule C will be the Joseph's total business charges on the card
Therefore,
The amount of interest expense can be deducted on Joseph's Schedule C
= 41% of $957
= 0.41 × $957
= $392.37
Answers
Answers
Answer:
2.32 feet
Step-by-step explanation:
Given;
The cross section of the bottom of a circular pound has the shape of a parabola
Now,
For the circular parabola, the equation is given as:
y² = 4ax
here,
y is the depth
x is the horizontal distance from the center
a is the constant
also,
at diameter of the pond = 24 feet
and,
at x = 0 ; y = 8 feet
now,
the point 2 feet from the shore with respect to the center of the pond = radius of the pond - The distance from the shore
= - 2 = 10 feet
thus,
at x = 10 feet ; y = 3 feet
thus,
we have
the equation as:
3² = 4a × 10
or
0.9 = 4a
or
a = 0.225
therefore,
we get the equation as;
y² = ( 4 × 0.225 ) × x
and, for point 6 feet away from the shore, i.e - 6 = 6 feet away from the center
we have
y² = ( 4 × 0.225 ) × 6
or
y² = 5.4
or
y = 2.32 feet (negative value is neglected as the depth cannot be negative)
Answer:
I wanna say 48 squared feet
Step-by-step explanation:
B: Negative numbers
C: Rational numbers
Answers
Answer:
C: Rational numbers
Step-by-step explanation:
The change received in a cash purchase, if given in £ (or $) would most certainly be a Rational number (that is a number that can be represented as a/b where a and b are coprimes). However if measured in p (or cents) then the answer would be whole numbers.
You cannot go wrong with option C as whole numbers (integers) are a subset of rational numbers. That is, all whole numbers are rational numbers.