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Sedaia [141]
3 years ago
11

PLEASE HELP!

Mathematics
1 answer:
beks73 [17]3 years ago
5 0
The correlation that is most likely a causation is <span>the positive correlation between the number of sodas sold on a campus and the number of cans in the campus recycling bins.

While the other scenarios may have variables with some relation to each other, in this scenario, we can see that if a campus sells more sodas, they would end up with more cans in the recycling bins; the cans would be caused by the soda sales.</span>
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Approximately how many years does it take to double a $600 investment when interest rates are 6 percent per year?
zhuklara [117]

The solution is in the attachment

4 0
3 years ago
Explain how to value of the 7 in 327,902 will change if you move it to the tens place
zloy xaker [14]
Right now the value of the seven in three hundred twenty seven thousand,nine hundred two,is 7,000.If you move it in the tens place the 7 is changing spots so it will be 70.
5 0
3 years ago
Read 2 more answers
Consider the planes 4x+3y+4z=1 and 4x+4z=0. (A) Find the unique point P on the y−axis which is on both planes. ( 0 equation edit
Nana76 [90]

Answer:

Step-by-step explanation:

A) From the order of the exercise we already know that the intersection points lies on the Y-axis, so its coordinates are P(0;y;0). In order to find it, we only need to substitute the equation 4x+4z=0 into the equation 4x+3y+4z=1. Then,

1=4x+3y+4z = 3y + (4x+4z)= 3y+0.

From the expression above it is easy to obtain that y=1/3, and the intersection point is P(0;1/3;0).

B) To obtain the parallel vector to both planes we use the cross product of the normal vector of the planes.

\left[\begin{array}{ccc}i&j&k\\4&3&4\\4&0&4\end{array}\right] = 12i-0j+12k

As we want a unit vector, we must calculate the modulus of u:

|u|=\sqrt{12^2+0^2+12^2} = \sqrt{2\cdot 12^2}=12\sqrt{2}.

Thus, the wanted vector is \frac{u}{12\sqrt{2}}. Therefore,

u = \frac{1}{\sqrt{2}}i-\frac{1}{\sqrt{2}}k = \frac{\sqrt{2}}{2}i-\frac{\sqrt{2}}{2}k.

C) In order to obtain the vector equation of the intersection line of both planes, we just need to put together the above results.

r = \frac{1}{3}j +\lambda \left( \frac{\sqrt{2}}{2}i- \frac{\sqrt{2}}{2}k \right)

where \lambda is a real number.

8 0
4 years ago
BRAINLIESTTT ASAP!!! PLEASE HELP ME :)
Ronch [10]

Answer:

○ x³\⁷

Step-by-step explanation:

Since you are multiplying ⁷√x three times, you write it like this first, ⁷√x³, then according to one of the Six Exponential Rules, ⁿ√aᵐ = aᵐ\ⁿ, ⁷√x³ gets rewritten as x³\⁷.

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

**In one of my You-Tube videos, it talks about all six exponential rules. The video is titled "Six Exponential Rules". Go check it out and get as much assistance as you can from the tutorial.

4 0
3 years ago
A couple does not wish to spend more than $60 for dinner at a restaurant. if a sales tax of 7% is added to the bill and they pla
Firlakuza [10]
Hey there!

The first step of this problem would be to add together our two percentages, then convert that percentage into a decimal by dividing by 100. 

15% + 7% = 22%

22 ÷ 100 = 0.22

It can be assumed here that 22% of the cost will be added tax and tip. We can use 0.22 to represent that percentage in our problem. Just multiply that decimal by the maximum amount of money they want to spend, $60, to get the amount that will just be tax and tip. Finally, subtract the tax and tip from $60 to find the most they can spend on the meal itself. 

60 × 0.22 = 13.20

60 – 13.20 = 46.80

The total amount they can spend is 46.80. 

Hope this helped you out! :-)
5 0
3 years ago
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