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3 years ago

At the local pet store, zebra fish cost $2.05 each and neon tetras cost $2.30 each. If Sameer

Mathematics

1 answer:

Tasya [4]3 years ago

7 0

Answer:

Step-by-step explanation:

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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

3 years ago

1/5(x + 0.5) + 5.24 = 3/2x + 7/10(x + 2.2)<br> Solve for x

luda_lava [24]

Answer:

x=19/10

Step-by-step explanation:

abcdefghijklmnopqrstuvwxyz

6 0

3 years ago

Use a table of signs to solve the inequality

bulgar [2K]

The interval of the provided inequality expression is -5/9 to the infinity [(-5/9),∞) using the table of signs to solve the inequality.

<h3>What is the inequality equation?</h3>

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

The inequality given in the problem is,

$4x + \dfrac{5}{9} - 3x \geq 0$

Simplify the equation first by adding the same terms,

$4x + \dfrac{5}{9} - 3x \geq 0\\4x - 3x+ \dfrac{5}{9} \geq 0\\x+ \dfrac{5}{9} \geq 0\\x\geq-\dfrac{5}{9}$

Now in this case, if the value x is ranges from -5/9 to infinity.

Thus, the interval of the provided inequality expression is -5/9 to the infinity [(-5/9),∞) using the table of signs to solve the inequality.

Learn more about the inequality equation here:

brainly.com/question/17724536

#SPJ1

6 0

2 years ago

Can you please help me simplify (1+4i)^2

Roman55 [17]

Answer:

−15+8i

Explanation:

First, you can expand the square of the bynomial:

(1+4i)2=1+8i+16i2

Since

i2=−1

the given expression becomes:

1+8i−16=−15+8i

4 0

3 years ago

Thomas purchased a bag of marbles on Monday. On Tuesday he gave half of the marbles to his brother. On Wednesday he gave eight m

kupik [55]

Answer:

168

Step-by-step explanation:

60+16+8 is 84

84 times 2 is 168

Mark me as brainliest if this helps!

6 0

3 years ago