k = 13The smallest zero or root is x = -10
===============================
Steps:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+1 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
Please mark brainliest
<em><u>Hope this helps.</u></em>
Answer:
This term denotes the modern techniques to administrating people in business organizations, government bodies, or non-profit organizations. The "contemporary" indicate the relation to the present and up-to-date trends in the sphere of management. It means that the person who is involved in contemporary management should be aware of the recent variations of the management theory and implement the changes in their organizations. Modern managers should be resilient and adaptive so that they are ready to incorporate the newest developments in practice.
Step-by-step explanation:
Other than that I don't know what you are asking for.
Answer:
Step-by-step explanation:
2(x + 15)⁰ + (3x + 20)⁰=180⁰
2x + 30⁰ + 3x + 20⁰=180⁰
2x + 3x + 30⁰ + 20⁰=180⁰
5x + 50⁰ - 50⁰=180⁰-50⁰
5x=130⁰
5x/5=130⁰/5
x=26⁰
Answer:
About 6 hours.
Step-by-step explanation:
The cylinder has a diameter of 10 meters and a depth of 1.4 meters.
First, we can find the volume of the cylinder, given by the formula:
Where r is the radius and h is the height (or depth, in this case).
Since our diameter is 10, our radius is 5.
Therefore, the volume of the cylinder will be (using 3.14 as π):
Since water is pumped at a rate of 18 cubic meters per hour, it will take then:
So, it will take about 6 hours for the water to completely fill the pool.