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podryga [215]
3 years ago
15

Suppose you start at the origin, move along the x-axis a distance of 4 units in the positive direction, and then move downward a

distance of 3 units, what are the coordinates of your position?
Mathematics
1 answer:
qwelly [4]3 years ago
4 0
(4, -3).

Note that moving downward from the origin locates you in a negative y-cooirdinate; -3 in this case.
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If you answer this you're HOT!!!!!
belka [17]

Answer:

Yes, 1:3.

Step-by-step explanation:

Each of the numbers on figure 2 are 3 times the number on figure 1.

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Name all of the angles that have the same measure as <1
kati45 [8]

Step-by-step explanation:

angle 5, 3, 7 since they're vertical and alternate interior angles that are all connected to angle 1

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A huge ice glacier in the Himalayas initially covered an area of 454545 square kilometers. Because of changing weather patterns,
guajiro [1.7K]

We have been given that a huge ice glacier in the Himalayas initially covered an area of 45 square kilo-meters. The relationship between A, the area of the glacier in square kilo-meters, and t, the number of years the glacier has been melting, is modeled by the equation A=45e^{-0.05t}.

To find the time it will take for the area of the glacier to decrease to 15 square kilo-meters, we will equate A=15 and solve for t as:

15=45e^{-0.05t}

\frac{15}{45}=\frac{45e^{-0.05t}}{45}

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Now we will switch sides:

e^{-0.05t}=\frac{1}{3}

Let us take natural log on both sides of equation.

\text{ln}(e^{-0.05t})=\text{ln}(\frac{1}{3})

Using natural log property \text{ln}(a^b)=b\cdot \text{ln}(a), we will get:

-0.05t\cdot \text{ln}(e)=\text{ln}(\frac{1}{3})

-0.05t\cdot (1)=\text{ln}(\frac{1}{3})

-0.05t=\text{ln}(\frac{1}{3})

t=\frac{\text{ln}(\frac{1}{3})}{-0.05}

t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-0.05\cdot 100}

t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-5}

t=-\text{ln}(\frac{1}{3})\cdot 20

t=-(\text{ln}(1)-\text{ln}(3))\cdot 20

t=-(0-\text{ln}(3))\cdot 20

t=20\text{ln}(3)

Therefore, it will take 20\text{ln}(3) years for area of the glacier to decrease to 15 square kilo-meters.

6 0
3 years ago
Which ratios that are equivalent to 20:12?
n200080 [17]

Step-by-step explanation:

5:6

is your answer.

good morning

have a great day

7 0
2 years ago
Can u help please.....
d1i1m1o1n [39]

Benito drew a line with a slope of 3

8 0
3 years ago
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