Write the expression 7x^10 + 6x^5 + 5 in quadratic form.a 7x P) + 6x +5
7x10 + 6(x+0 x
6. 7(x)* +6x? +5
7720 + 6(220)2 = 5
Answers
For this case we have the following expression:
We must rewrite it quadratically:
By definition, a quadratic equation is of the form:
Now, suppose
Rewriting the given expression with the change of variable we have:
So, we have a quadratic expression.
Returning the change we have:
ANswer:
Option B
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The Volume of sphere whose radius is 3 cm = 113 (rounded to the nearest tenth)
Volume= 113
What is Volume of sphere?
The volume of a sphere = 4/3 r³, where r is the radius of the sphere.
Volume of sphere =
=
= 4 x 3.14 x 9
=113.04
≈ 113 (rounded to the nearest tenth)
Learn more about Volume of sphere here:
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Final answer:
The volume of a hemisphere with a radius of 3 cm is approximately 56.6 cm³ when rounded to the nearest tenth of a cubic centimeter. This is calculated by halving the volume of a sphere with the same radius.
Explanation:
Calculating the Volume of a Hemisphere
The question asks for the volume of a hemisphere with a radius of 3 cm. The formula for the volume of a sphere is V = (4/3)πr³, and since a hemisphere is half of a sphere, the formula adapts to V = (1/2)(4/3)πr³. Using a radius (r) of 3 cm, we get V = (1/2)(4/3)π(3 cm)³.
Let's calculate the volume step by step:
- First, calculate the volume of the full sphere using the radius of 3 cm: V = (4/3)π(3³) cm³
- Compute the result: V = (4/3)(π)(27) cm³ = (36π) cm³
- Since we want the volume of the hemisphere, we divide this number by 2: V = (36π/2) cm³ = (18π) cm³
- Finally, we approximate π to 3.142 and round to the nearest tenth: V ≈ 18(3.142) cm³ ≈ 56.6 cm³
Therefore, the approximate volume of the hemisphere is 56.6 cm³, when rounded to the nearest tenth of a cubic centimeter.
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The diameter here is 7.64 inches. A radius is half as big as a diameter, so divide the diameter by 2. The radius is 3.82 inches.
Hope this helps!
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Answer:
125.141
Step-by-step explanation:
Assuming that this is an equilateral triangle, I am going to divide this triangle in half to get a right triangle.
17 is our hypotenuse
17/2 = 8.5, this is one of our legs
The other leg is our height, which we will find.
We use Pythagoras Theorem to find the height/leg:
= 14.72243186
Now, we use another formula to find the area of the triangle:
14.72243186 × 17 = 250.2813416
250.2813416 ÷ 2 = 125.1406708
Answers
5/45 : 1/9; 2/18; 3/27
3/5 : 6/10; 12/20; 24/40
hope that helps
Explanation: Ratio table is the tabular representation of equivalent ratios. Ratio is the relation between quantity, degree or rate between one thing and another.
18/6: 9/8, 27/24, 36/32 ←
5/45: 1/9, 2/18, 3/27 ←
3/5: 6/10, 12/20, 24/40 ←
Hope this helps!
Thanks!
Have a great day!