The minimum value for g(x)=x² - 10x + 16 is -9
<h3>How to determine the minimum value?</h3>
The function is given as:
g(x)=x² - 10x + 16
Differentiate the function
g'(x) = 2x - 10
Set the function 0
2x - 10 = 0
Add 10 to both sides
2x = 10
Divide by 2
x = 5
Substitute 5 for x in g(x)
g(5)=5² - 10*5 + 16
Evaluate
g(5) = -9
Hence, the minimum value for g(x)=x² - 10x + 16 is -9
Read more about quadratic functions at:
brainly.com/question/7784687
<h3>
<u>Given</u><u> </u><u>:</u></h3>
- Length =
cm. - Breadth =
cm.
<h3>
<u>To</u><u> </u><u>Find</u><u> </u><u>:</u></h3>
The area of rectangle.
<h3>
<u>Solution</u><u> </u><u>:</u></h3>
Area of rectangle = Length × Breadth




<h3>
<u>Area</u><u> </u><u>of</u><u> </u><u>rectangle</u><u> </u><u>is</u><u> </u><u>4</u><u>2</u><u>5</u><u>/</u><u>4</u><u>2</u><u> </u><u>cm</u><u>²</u><u>.</u></h3>
The volume of the cylinder is; 128π in3
Base area(πr^2)*height
Π = 3.14
Therefore; 3.14 * 4^2 * 8
3.14 * 128
= 401.92 in3
First, rewrite the equation in standard form.
The center-radius form of the circle equation<span> is in the format:
(x – h)^</span>2<span> + (y – k)^</span>2<span> = r^</span>2
<span>with the center being at the </span>point<span> (h, k) and the radius being "r".
</span>
(x-3)^2 + (y+4)^2 = 81
From here, you can determine the center and radius. The center is at (3,-4) and the radius is 9.
Answer:
There is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.
Step-by-step explanation:
First, we need to calculate the volume of each balloon by considering the balloons as a sphere:

Where:
r: is the radius = 0.4 meters

Knowing that 1 m³ of helium is able to lift about 1 kg, that Mr. Schordine weights 84 kg, and that each ballon has 0.27 m³ of helium, the number of balloons needed are:
Therefore, there is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.
I hope it helps you!