$\text{If there are no real roots, then}\\\\~~~~~\text{Discriminant} < 0\\\\\implies b^2 -4ac < 0\\\\\implies (-8)^2 -4 \cdot 3 k < 0\\\\\implies 64-12k < 0\\\\\ \implies 12k > 64\\\\\implies k > \dfrac{64}{12}\\\\\implies k > \dfrac{16}3\\\\\text{Interval,}~ \left( \dfrac{16}3, ~\infty\right)$

6 0

2 years ago

During a sale, a bookstore sold 250 books. At the end of the sale, the store has 75% of the original number of books. How many b

shutvik [7]

90 books would be left I believe I just took 250/9 since it would take 9 quarters to make $2.50 and since 75% was gone that would mean 25% is left so your answer is 90 unless it’s not but I believe it’s right.

5 0

3 years ago

Select the correct answer.

sp2606 [1]

The perimeter of the pentagon with apothem of 5cm is 28.87cm

<h3>How to calculate the perimeter of a pentagon</h3>

The sum of all the external sides of the pentagon is its perimeter.

First we need to calculate the half of one of its sides using the SOH CAH TOA

tan 30 = x/5

x = 5 tan 30

x = 2.89

One of the sides = 2(2.89) = 5.77 cm

Perimeter of th pentagon = 5(5.77) = 28.87

Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm

Learn more on perimeter of pentagon here: brainly.com/question/11484726

6 0

2 years ago

A certain colony of bacteria begin with one cell and the population doubles every 20 minutes. What was the population of The Col

svetoff [14.1K]

First 20 minutes:1 Second 20:2 Third 20:4 Fourth 20: 8. Fifth 20: 16 Sixth 20: 32. C is your answer

3 0

3 years ago