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Elenna [48]
2 years ago
6

there was a warning of volcano eruption in Kilauea in Hawaii. from September 7th to September 8th 2014, the flow advanced about

3/8 kilometers towards the edge of highway 130. the distance (in kilimeters) between the edge of the lava flow and the highway 130 can be given by the function f(t)=6-3/8t where t is the number of days since September 9, 2014. what is the input variables? What are the units of the input variable?
Mathematics
1 answer:
antoniya [11.8K]2 years ago
7 0
Answer: The input variable is the number of days since September 9th.. The unit for the input variable is single days.

When you are given an equation, there is an input and an output. In this case, you put in the number of days and the output is the distance between the lava and the road.

If you make a chart of the inputs and outputs, you will see that the lava is getting closer to the road.
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Can you please help me with this problem?
Hoochie [10]
Here you have to find which each variable is, for this you start of picking one equation,

x + 2y + 6z = 4
-3x + 2y - 2 = -4
4x + 2z = 16

depending the equation you pick you multiply that by a certain number that will give you the opposite of one of the other equations,
-1(x + 2y + 6z = 4)
= -x -2y - 6z = -4

With this you add or subtract it with the equation that has the same number or variable, or both,
In this case it will be the equation,
-3x + 2y + 6z = 4
You can use this one or the third equation since both have a positive 2y which will cancel with -2y from the new equation,
-x - 2y - 6z = -4
-3x + 2y -z = -4

= -4x -7z = -8
Now you since you just eliminated the variable (y) you now have 2 variables, and the last equation has only 2 variables, meaning now you find the answer to those to equations,

-4x -7z = -8
4x + 2z = 16

= -5z = 8
Now leave the variable by itself,
z = 8/5
Now you found the variable (z), with this just substitute on one of the equations we used to find (z) so you can find (x), after that substitute those answered to on of the original equations so you can find (y)




6 0
2 years ago
If you throw a ball at a rectangular board that is 4 ft. by 5 ft. with a smaller 2 ft. by 2 ft. square painted in the center of
bekas [8.4K]

Answer:

Step-by-step explanation:

Probability=(2*2)/(4*5)=1/5=20 %

8 0
2 years ago
A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground. How high is the top o
DochEvi [55]

Answer:

The height of tree house is 70.71 feet

Step-by-step explanation:

We are given that A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground

Refer the attached figure

Length of rope AC = Hypotenuse =100 feet

The top of a tree house to the ground forms a 45∘ angle of elevation from the ground =\angle ACB = 45^{\circ}

We are supposed to find the height of tree house i.e.AB = Perpendicular

So, Using trigonometric ratio

Sin \theta = \frac{perpendicular}{Hypotenuse}\\Sin 45= \frac{AB}{AC}\\\frac{1}{\sqrt{2}}=\frac{AB}{100}\\100 \times \frac{1}{\sqrt{2}}=AB\\70.71=AB

Hence The height of tree house is 70.71 feet

8 0
3 years ago
Complete the two-column proof.
Nimfa-mama [501]
The answer is B, hope this helped
7 0
2 years ago
Read 2 more answers
Subs
emmasim [6.3K]

Answer:

well you see there is a high possibility that it is your mums shopping list.

3 0
2 years ago
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