Answer:
The answer to your question is 2 seconds
Step-by-step explanation:
Data
function y = -14x² + 56x
maximum height = ?
Process
1.- Find the derivative of the function
y' = -28x + 56
2.- Equal to zero the result
-28x + 56 = 0
3.- Solve for x
-28x = - 56
x = -56/-28
x = 2
4.- Conclusion
It takes to the ball 2 seconds to reach the maximum height.
To calculate for the z-score we use the formula:
z=(x-μ)/σ
thus the answers to questions will be as follows:
a]<span>Carmen purchased a 16-ounce can of Nut Munchies and counted 100 peanuts. What is the z-score for this can of peanuts?
</span>x=100
μ=96.3
σ=2.4
z=(100-96.3)/2.4
z=1.542
b]<span>Angelo purchased a 20-ounce can of Gone Nuts and counted 116 peanuts. What is the z-score for this can of peanuts?
x=116
</span>μ=112.6
σ=2.8
<span>thus
z=(116-112.6)/2.8
z=1.214
c]</span><span>Carmen declares that purchasing her can of Nut Munchies with 100 peanuts is less likely than Angelo purchasing a can of Gone Nuts with 116 peanuts. Is Carmen’s statement correct? Use the definition of a z-score to support or refute Carmen’s claim.
This is very correct because because by definition of z-score, Munchies with 100 peanuts is 1.542 away from the mean as compared to Munchies with 116 peanuts which is 1.214 standard deviations from the mean hence the higher likelihood. </span>
Answer:
you got this
Step-by-step explanation:
goodluck
Answer:
5 x^2 y^ (-3) z = ?
Step-by-step explanation:
We know the volume of a rectangular prism is given by
V = l*w*h
V = 2x^2 * y^-2 * ?
We are given the volume
V =10x^4 y^-5 z
Set the two equal
10x^4 y^-5 z = 2x^2 * y^-2 * ?
Divide each side by 2x^2 y^-2
10x^4 y^-5 z /2x^2 y^-2 = 2x^2 * y^-2 * ?/2x^2 * y^-2
10x^4 y^-5 z/ 2x^2 y^-2 = ?
Simplifying
10/2 * x^4/x^2 y^-5/ y^-2 z = ?
We know that a^b/ a^c = a^(b-c)
5 x^ (4-2) y^(-5 - -2) z = ?
5 x^2 y^ (-5 +2) z = ?
5 x^2 y^ (-3) z = ?
Answer:
<em>( x + 13 )^2 + ( y + 6 )^2 = 1; Option A</em>
Step-by-step explanation:
<em>~ The question we have at hand is: x^2 + y^2 + 26x + 12y + 204 = 0 ~</em>
Let us apply the circle equation ( x - a )^2 + ( y - b )^2 = r^2 ⇒ provided r is the radius, centered at point ( a, b )
1. First rewrite x^2 + y^2 + 26x + 12y + 204 = 0 in the standard form of circle equation: x^2 + y^2 + 26x + 12y + 204 = 0
2. Now move the loose number to the right side: x^2 + 26x + y^2 + 12y = -204
3. Let us now group variables: ( x^2 + 26x ) + ( y^2 + 12y ) = -204
4. Convert x to square form: ( x^2 + 26x + 169 ) + ( y^2 + 12y ) = -204 + 169
5. Convert to square form: ( x + 13 )^2 + ( y^2 + 12y ) = -204 + 169
6. Convert y to square form: ( x + 13 )^2 + ( y^2 + 12y + 36 ) = -204 + 169 + 36
7. Convert to square form, and simplify: ( x + 13 )^2 + ( y + 6 )^2 = 1
<em>Answer: ( x + 13 )^2 + ( y + 6 )^2 = 1</em>
