Answer: In pretty sure the answer is C im very much sorry if its not C
have a good day!
Both by Pythagorean theorem and dot product approaches, we find that the magnitude of the vector <u>u</u> = <4, 7> is equal to √65.
<h3>What is the magnitude of a vector?</h3>
Vectors are characterized by two elements: Magnitude and direction, the magnitude is a scalar that represents the <em>"length"</em> of the vector, while the direction indicate the <em>"orientation"</em> of the vector. There are two methods to find the magnitude of the vector u:
Method 1 - Pythagorean theorem
<u>u</u> = <4, 7>
u = √(4² + 7²)
u = √65
Method 2 - Dot product
<u>u</u> = <4, 7>
u = √(u • u)
u = √[(4, 7) • (4, 7)]
u = √(4² + 7²)
u = √65
Both by Pythagorean theorem and dot product approaches, we find that the magnitude of the vector <u>u</u> = <4, 7> is equal to √65.
To learn more on vectors: brainly.com/question/13322477
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Answer:
<h2>C.</h2>
Step-by-step explanation:
The right question is
<em>Which expression shows the result of applying the distributive property to 1/4(−3n+3/2) ? </em>
<em>A.3/4n−3/8 </em>
<em>B.3/4n+3/8 </em>
<em>C.−3/4n+38 </em>
<em>D. −3/4n−3/8</em>
The given expression is
To apply the distributive property, we just have to "distribute" the factor to each term inside of the parenthesis, as follows
<em>(Remember that when we multiply fractions, we do it linear, that is, numerator multiplies numerator and denominator multiplies denominator)</em>
Therefore, the equivalent expression is
So, the answer is C.
The measure which is closest to the volume of Luis's globe is; 6301.2in³
<h3>Volume of a sphere</h3>
If the circumference of the globe along the equator is 72inches along the equator;
Hence, the radius of the globe can be evaluated as;
r = 11.46in.
On this note, the Volume, V of the globe is;
- V = (4/3) × 3.14 × 11.46³
V = 6301.2in³
Read more on volume of a sphere;
brainly.com/question/22807400
<span><span><span>2x</span>−1</span>≤<span>x5
</span></span>Let's find the critical points of the inequality.
<span><span><span>2x</span>−1</span>=<span>x^5
</span></span><span><span><span><span>2x</span>−1</span>−<span>x^5</span></span>=<span><span>x^5</span>−<span>x^5 </span></span></span>(Subtract x^5 from both sides)
<span><span><span><span>−<span>x^5</span></span>+<span>2x</span></span>−1</span>=0
</span><span><span><span>(<span><span>−x</span>+1</span>)</span><span>(<span><span><span><span><span>x^4</span>+<span>x^3</span></span>+<span>x^2</span></span>+x</span>−1</span>)</span></span>=0 </span>(Factor left side of equation)
<span><span><span><span>−x</span>+1</span>=<span><span><span><span><span><span>0<span> or </span></span><span>x^4</span></span>+<span>x^3</span></span>+<span>x^2</span></span>+x</span>−1</span></span>=0 </span>(Set factors equal to 0)
<span><span><span>x=<span><span>1<span> or </span></span>x</span></span>=<span><span>0.51879<span> or </span></span>x</span></span>=<span>−<span>1.290649</span></span></span>