Answer:
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Answer:
The countertop is 8.37 square meters
Step-by-step explanation:
Let
L ----> the length of the countertop
W ----> the width of the countertop
we know that
The area of rectangle (countertop) is equal to
we have
Remember that
To convert feet to meters multiply by 0.305
so
Find the area in square meters
Answer:
Domain: all real numbers
Step-by-step explanation:
The domain of a function is the set of values that x can be replaced with.
In this function, x can be replaced by any real number, so the domain of the function is all real numbers.
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To find the sum of two numbers, we must add them together. However, in this case we are adding a negative number. Addition of a negative number can also be written as subtraction, and this method is easier for most people to compute and understand, so we are going to rewrite the expression as follows:
3 - 6
Next, we must just perform the subtraction.
3 - 6 = -3
Therefore, your answer is -3.
Hope this helps!
Answer:
a) possible progressions are 5
b) the smallest and largest possible values of the first term are 16 and 82
Step-by-step explanation:
<u>Sum of terms:</u>
- Sₙ = n/2(a₁ + aₙ) = n/2(2a₁ + (n-1)d)
- S₂₀ = 20/2(2a₁ + 19d) = 10(2a₁ + 19d)
- 2020 = 10(2a₁ + 19d)
- 202 = 2a₁ + 19d
<u>In order a₁ to be an integer, d must be even number, so d = 2k</u>
- 202 = 2a₁ + 38k
- 101 = a₁ + 19k
<u>Possible values of k= 1,2,3,4,5</u>
- k = 1 ⇒ a₁ = 101 - 19 = 82
- k = 2 ⇒ a₁ = 101 - 38 = 63
- k = 3 ⇒ a₁ = 101 - 57 = 44
- k = 4 ⇒ a₁ = 101 - 76 = 25
- k = 5 ⇒ a₁ = 101 - 95 = 16
<u>As per above, </u>
- a) possible progressions are 5
- b) the smallest and largest possible values of the first term are 16 and 82