The area means to multiply the length by the width.
let's solve.
14 1/2 x 13 1/4.
convert our fractions into decimals.
14 1/2 = 14.50
13 1/4 = 13.25
Now we can multiply properly.
14.50 x 13.25 = 192.125
since our shape is 2-Dimensional, our units are ^2.
Your area is:
192.25 ft^2
The smallest prime number of p for which p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.
<h3>What is the smallest prime number of p for which p must have exactly 30 positive divisors?</h3>
The smallest number of p in the polynomial equation p^3 + 4p^2 + 4p for which p must have exactly 30 divisors can be determined by factoring the polynomial expression, then equating it to the value of 30.
i.e.
By factorization, we have:
Now, to get exactly 30 divisor.
- (p+2)² requires to give us 15 factors.
Therefore, we can have an equation p + 2 = p₁ × p₂²
where:
- p₁ and p₂ relate to different values of odd prime numbers.
So, for the least values of p + 2, Let us assume that:
p + 2 = 5 × 3²
p + 2 = 5 × 9
p + 2 = 45
p = 45 - 2
p = 43
Therefore, we can conclude that the smallest prime number p such that
p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.
Learn more about prime numbers here:
brainly.com/question/145452
#SPJ1
Answer:
C
Step-by-step explanation:
add the two x^2 parts = 10 x^2
so answer is B or C
add the constants 7 + 6 = 13 so answer C
Answer:
add 8x to both sides of the inequality
Step-by-step explanation:
Answer:
x=-11
y=-1
Step-by-step explanation:
x=4y-7
2x+9y=-31
2(4y-7)+9y=-31
8y-14+9y=-31
17=-31+14
17y=-17
y=-1
x=4(-1)-7
x=-11
