Graph the integer 3 and its opposite on a number line.

Mathematics

1 answer:

steposvetlana [31]3 years ago

7 0

The answer is C because it tells you to graph 3 AND the opposite which is -3

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During summer, when the snow melts, the water level of the Yukon River increases. If the water level of the river increased by 7

kondaur [170]

Answer:

13 centimeters per day.

Step-by-step explanation:

We have been given that during summer, the water level of the river increased by 78 centimeters in 6 days. We are asked to find the water level increase rate in centimeters per day.

To find the water level increase rate per day, we will divide total increase by total days as:

$\text{Water level increase rate per day}=\frac{78\text{ cm}}{6\text{ days}}$

$\text{Water level increase rate per day}=\frac{13\text{ cm}}{\text{ day}}$

Therefore, the water level increase rate is 13 centimeters per day.

5 0

3 years ago

#7 please help i don’t know what i’m doing and i have to show work

hichkok12 [17]

Answer:

Answer is 6x-13

Step-by-step explanation:

Given

XZ=8x-18 and RZ=2x+5

XR=XZ-RZ

8x-18-2x+5

8x-2x-18+5

6x-13Ans

4 0

2 years ago

PLEASE HELP! I'll give 5 out of 5 stars, give thanks, and give as many points as I can.

Liula [17]

Answer:

$\boxed{\boxed{x=\dfrac{\pi}{3}\ \vee\ x=\pi\ \vee\ x=\dfrac{5\pi}{3}}}$

Step-by-step explanation:

$\cos(3x)=-1\iff3x=\pi+2k\pi\qquad k\in\mathbb{Z}\\\\\text{divide both sides by 3}\\\\x=\dfrac{\pi}{3}+\dfrac{2k\pi}{3}\\\\x\in[0,\ 2\pi)$

$\text{for}\ k=0\to x=\dfrac{\pi}{3}+\dfrac{2(0)\pi}{3}=\dfrac{\pi}{3}+0=\boxed{\dfrac{\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=1\to x=\dfrac{\pi}{3}+\dfrac{2(1)\pi}{3}=\dfrac{\pi}{3}+\dfrac{2\pi}{3}=\dfrac{3\pi}{3}=\boxed{\pi}\in[0,\ 2\pi)\\\\\text{for}\ k=2\to x=\dfrac{\pi}{3}+\dfrac{2(2)\pi}{3}=\dfrac{\pi}{3}+\dfrac{4\pi}{3}=\boxed{\dfrac{5\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=3\to x=\dfrac{\pi}{3}+\dfrac{2(3)\pi}{3}=\dfrac{\pi}{3}+\dfrac{6\pi}{3}=\dfrac{7\pi}{3}\notin[0,\ 2\po)$