Answer:
absolute value is the number itself regardless if it is negative or positive
Yes, 23 has an inverse mod 1000 because gcd(23, 1000) = 1 (i.e. they are coprime).
Let <em>x</em> be the inverse. Then <em>x</em> is such that
23<em>x</em> ≡ 1 (mod 1000)
Use the Euclidean algorithm to solve for <em>x</em> :
1000 = 43×23 + 11
23 = 2×11 + 1
→ 1 ≡ 23 - 2×11 (mod 1000)
→ 1 ≡ 23 - 2×(1000 - 43×23) (mod 1000)
→ 1 ≡ 23 - 2×1000 + 86×23 (mod 1000)
→ 1 ≡ 87×23 - 2×1000 ≡ 87×23 (mod 1000)
→ 23⁻¹ ≡ 87 (mod 1000)
Answer:
area = 240 in²
Step-by-step explanation:
each triangle area = 1/2(4)(15) =30 in²
30 x 8 = 240 in²
Answer:
The monthly growth rate is 3.5%.
Step-by-step explanation:
The exponential growth function is given as follows:
Here,
<em>y</em> = final value
<em>a</em> = initial value
<em>r</em> = growth rate
<em>x</em> = time taken
The provided expression for the monthly growth of membership in the new drama club at a school is:
Comparing this function with the exponential growth function:
Then value of <em>r</em> is 0.035 or 3.5%.
Thus, the monthly growth rate is 3.5%.
The range of the function y = 4x + 2 where the domain is the set of all of
the positive even numbers less than 10 is {10, 18, 26, 34}
The given equation is:
y = 4x + 2
The domain is the set of all of the positive even numbers less than 10.
That is, x = {2, 4, 6 ,8}
To get the range, find the values of y for x = 2, 4, 6, and 8
For x = 2:
y = 4(2) + 2
y = 8 + 2
y = 10
For x = 4:
y = 4(4) + 2
y = 16 + 2
y = 18
For x = 6:
y = 4(6) + 2
y = 24 + 2
y = 26
For x = 8:
y = 4(8) + 2
y = 32 + 2
y = 34
Therefore, the range = {10, 18, 26, 34}
Learn more here: brainly.com/question/18479953
