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3 years ago

Algebra Functions and Data Analysis

Mathematics

1 answer:

krok68 [10]3 years ago

6 0

I believe the correct answer is C.

Air pressure in the Earth's atmosphere as a function of altitude

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Find the general solution of <img src="https://tex.z-dn.net/?f=2cos%282x%20%2B%20%5Cfrac%7B%5Cpi%20%7D%7B4%7D%20%29%20%3D%20%5Cs

Aleks04 [339]

Answer:

$\large\boxed{x=-\dfrac{\pi}{4}+k\pi\ \text{or}\ x=k\pi\ \text{for}\ k\in\mathbb{Z}}$

Step-by-step explanation:

$2\cos\left(2x+\dfrac{\pi}{4}\right)=\sqrt2\qquad\text{divide both sides by 2}\\\\\cos\left(2x+\dfrac{\pi}{4}\right)=\dfrac{\sqrt2}{2}\to2x+\dfrac{\pi}{4}=\pm\dfrac{\pi}{4}+2k\pi\\\\2x+\dfrac{\pi}{4}=-\dfrac{\pi}{4}+2k\pi\ \vee\ 2x+\dfrac{\pi}{4}=\dfrac{\pi}{4}+2k\pi\qquad\text{subtract}\ \dfrac{\pi}{4}\ \text{from all sides}\\\\2x=-\dfrac{2\pi}{4}+2k\pi\ \vee\ 2x=2k\pi\qquad\text{divide all sides by 2}\\\\x=-\dfrac{\pi}{4}+k\pi\ \vee\ x=k\pi\ \text{for}\ k\in\mathbb{Z}$

5 0

4 years ago

3. Jada can bake 12 cookies in 20 minutes. How many cookies can she bake 1

vodka [1.7K]

Answer:

she can bake 216 cookies in 360 minutes

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

I need help. What is two over three plus blank over six equals one and one sixth? Sorry if it is a little complicated.

Alex_Xolod [135]

Answer: 3/6

Step-by-step explanation:

Calculation steps:

2 × 2

3 × 2

4 + 3

1 1

7 0

3 years ago

What is the solution of the following system 3x+3y=10 -9x-9y=-30

Gelneren [198K]

we have

$3x+3y=10$ --------> equation $1$

$-9x-9y=-30$ --------> equation $2$

Multiply equation $1$ by $-3$ both sides

$-3*(3x+3y)=-3*10$ -------> $-9x-9y=-30$

the two equations of the system are the same, both equations represent the same line

If a consistent dependent system that has an infinite number of solutions

therefore

<u>the answer is</u>

The system has infinite number of solutions

5 0

3 years ago

Read 2 more answers

Evaluate: <br><br> -4/7 (-3/5) (-7/3)

SOVA2 [1]

$\text{Hey there!}$

$-\dfrac{4}{7}(-\dfrac{3}{5})(-\dfrac{7}{3})\\\\-\dfrac{4}{7}\times-\dfrac{3}{5}=\dfrac{12}{35}\\\text{Reason: -4(-3) = 12 \& -7(-5) = 35}\\\\\\\dfrac{12}{35}\times-\dfrac{7}{3} = \text{\bf{ ANSWER}}\\\\\\\dfrac{12}{35}\times-\dfrac{7}{3}=-\dfrac{4}{3}\\\\\\\boxed{\boxed{\text{\bf{Answer}}\bf{\ -\dfrac{4}{5}}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{LoveYourselfFirst:)}$

3 0

4 years ago