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nata0808 [166]
3 years ago
8

Rick surveyed 50 students at his school to see how many have after-school jobs and how many are getting the new video game conso

le that is coming out next month. From his data, 30% of the students are getting the new console. Also, of the 20 students who have after-school jobs, 45% are getting the new console. Using this information, complete the following table with the relative frequency of the columns. 0.30 0.70 1.00 0.20 0.80 0.45 0.55 Mathematics
Mathematics
1 answer:
Alina [70]3 years ago
7 0
Im pretty sure it was d when i took the test hopefully im corecct sorry if im not 
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You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta
vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

m = -\frac{\cos 2\theta}{\sin \theta}

The tangent line is horizontal when m = 0. Then:

\cos 2\theta = 0

2\theta = \cos^{-1}0

\theta = \frac{1}{2}\cdot \cos^{-1} 0

\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right), for all i \in \mathbb{N}_{O}

\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}, for all i \in \mathbb{N}_{O}

The first four solutions are:

x:   \sqrt{2}   -\sqrt{2}  -\sqrt{2}  \sqrt{2}

y:     1        -1        1     -1

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

6 0
2 years ago
Lorenz total payment for his loan was $13,536.
Vera_Pavlovna [14]

Answer: $376

Step-by-step explanation:

Divide 13,536 by 36

13,536/36 = 376

6 0
3 years ago
Read 2 more answers
Evaluate the expression for a = 4 and b = 3.<br><br> A-81<br> B-24<br> C-36<br> D-144
Dimas [21]
Where the expression....
4 0
3 years ago
A right triangle has a hypotenuse length of 12, and one side length of 9. find the missing side length. do the side lengths form
Rina8888 [55]

Use the Pythagorean theorem:

a^2+b^2=c^2

c - a hypotenuse

a, b - legs

We have: a = 9 and c = 12. Substitute:

9^2+b^2=12^2

81+b^2=144               <em>subtract 81 from both sides</em>

b^2=63\to b=\sqrt{63}\\\\b=\sqrt{9\cdot7}\\\\b=\sqrt9\cdot\sqrt7\\\\ \boxed{b=3\sqrt{7}}

A Pythagorean triple consists of three positive integers a, b and c, such that

a^2+b^2=c^2.

b=3\sqrt{7} is not positive integer.

<h3>The sides of the triangle do not form a pythagorean triple.</h3>
5 0
3 years ago
Brainliest plz helpppppp<br> 4.5-3(x+2.7)=7(8.1-4x)
Fofino [41]
X=2.412 is the correct answer
8 0
3 years ago
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