Answer:
-sqrt(5) ≤ x ≤ sqrt(5)
Step-by-step explanation:
x^2-5≤0
Add 5 to each side
x^2-5+5≤0+5
x^2 ≤5
Take the square root of each side, remembering to flip the inequality for the negative sign. Since this is less than we use and in between
sqrt(x^2) ≤ sqrt(5) and sqrt(x^2) ≥ -sqrt(5)
x ≤ sqrt(5) and x ≥- sqrt(5)
-sqrt(5) ≤ x ≤ sqrt(5)
Answer:
If nobody walked on the moon, then Neil Armstrong didn't
Step-by-step explanation:
The contrapositive flips the sign of "Neil Armstrong" and the "moon," and also switches their position, so you will switch the hypothesis and conclusion as well
Answer:
Here we want to complete the blank to make the equality true:
( ) = (2 - 6)*(-4)
The equality is true if we have the same value in both sides, so we can think of this as an algebraic equation:
x = (2 - 6)*(-4)
We just need to find the value of x.
Then let's solve the right side:
x = (2 - 6)*(-4) = (-4)*(-4)
Remember the rule of signs:
(-)*(-) = (+)
x = (-4)*(-4) = 4*4 = 16
Then we need to complete the blank with the number 16
(16) = (2 - 6)*(-4)
Answer:
<u>88/345 which is 0.2551</u>
Step-by-step explanation:
Since we are picking 2 athletes randomly and without replacement.
Probability of 1 volleyball player = 24/46 = 12/23
Probability of basketball player (<u>this</u><u> </u><u>is</u><u> </u><u>aft</u><u>er</u><u> </u><u>1</u><u> </u><u>vol</u><u>ley</u><u>ball</u><u> </u><u>play</u><u>er</u><u> </u><u>has</u><u> </u><u>alr</u><u>eady</u><u> </u><u>be</u><u>en</u><u> </u><u>picked</u><u>)</u><u>.</u><u> </u><u>We</u><u> </u><u>hav</u><u>e</u><u> </u><u>4</u><u>5</u><u> </u><u>players</u><u> </u><u>left</u><u>.</u><u> </u><u>=</u><u> </u><u>2</u><u>2</u><u>/</u><u>4</u><u>5</u>
<u>proba</u><u>bility</u><u> </u><u>of</u><u> </u><u>picki</u><u>ng</u><u> </u><u>one</u><u> </u><u>volle</u><u>yball</u><u> </u><u>pla</u><u>yer</u><u> and</u><u> </u><u>one</u><u> </u><u>bask</u><u>e</u><u>tball</u><u> player</u>
<u>p</u><u>(</u><u>voll</u><u>eyball</u><u> </u><u>pla</u><u>yer</u><u> </u><u>a</u><u>nd</u><u> </u><u>bask</u><u>etball</u><u> </u><u>player</u><u>)</u>
<u>(</u><u>1</u><u>2</u><u>/</u><u>2</u><u>3</u><u>)</u><u> </u><u>x</u><u> </u><u>(</u><u>2</u><u>2</u><u>/</u><u>4</u><u>5</u><u>)</u>
<u>=</u><u> </u><u>8</u><u>8</u><u>/</u><u>3</u><u>4</u><u>5</u>
Answer:
y = C1x^(-1/2) cosx + C2x^(-1/2) sinx
Step-by-step explanation:
Given that
y1 = x^(-1/2) cosx
y2 = x^(-1/2) sinx
are linearly independent solutions of the nonhomogeneous equation
x²y'' + xy' + x² − 1 4y = x^(3/2)
Then the general equation of the differential equation can be written as
y = C1y1 + C2y2
y = C1x^(-1/2) cosx + C2x^(-1/2) sinx