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charle [14.2K]
3 years ago
8

If the fallowing pair represents a direct variation, find the missing value. (2,-4) and (-6, y)

Mathematics
2 answers:
erik [133]3 years ago
5 0
-8y it should be right
Maurinko [17]3 years ago
5 0
Okay well the relationship from 2 and -6 is multiplication by -3. SO if we apply that to -4, y will equal 12.
(2, -4)
(-6, 12)
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The perimeter of a rectangular swimming pool is 414 meters. The length of the pool is 7 meters more than four times the width. F
PolarNik [594]

Answer:

Width = 40 meters

Length = 167 meters

Step-by-step explanation:

Let

Width of the pool = x meters

Then

Length of the pool = 4x + 7 meters

and

Perimeter =2(x+4x+7)=2(5x+7)=10x+14 meters

Hence,

10x+14=414\\ \\10x=414-14\\ \\10x=400\\ \\x=40\ meters\\ \\4x+7=4\cdot 40+7=167\ meters

5 0
3 years ago
The scatter plot below shows the number of online posts Evie makes per day and the time at which she makes them. Identify any cl
Bezzdna [24]

Answer:

Well, looking at the chart, there is a cluster of 3 dots at 10 A.M and 5 at 6 P.M and over. I hope that helped :)

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
I really need the answer for this problem
morpeh [17]
The answer to your problem is 20%
3 0
3 years ago
Electricity usage data consists of 45 months has a mean number of units consumed is 390.47 per month with a standard deviation o
neonofarm [45]

Answer:

The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87

Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 45 - 1 = 44

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0141

The margin of error is:

M = T*s = 2.0141*170.5 = 343.4

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 390.47 - 343.40 = 47.07 units per month

The upper end of the interval is the sample mean added to M. So it is 390.47 + 343.40 = 733.87 units per month

The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87

6 0
3 years ago
Over a certain region of space, the electric potential is V = 4x − 7x2y + 7yz2. Find the expressions for the x, y, z components
Tju [1.3M]

Answer:

Ex = - 4 + 14xy

Ey = 7x² - 7z²

Ez = -14yz

Step-by-step explanation:

The relationship between Electric field Er(x, y, z) and Electric potential, V, is a differential relationship:

Er(x, y, z) = -dV/dr(x, y, z)

Where r(x, y, z) = distance in x, y and z components.

The x component of the electric field is:

Ex = -dV/dx

Given that:

V = 4x - 7x²y + 7yz²

Ex = -dV/dx

Ex = -(4 - 14xy)

Ex = -4 + 14xy

The y component of the electric field is:

Ey = -dV/dy

Ey = -(-7x² + 7yz²)

Ey = 7x² - 7z²

The z component of the electric field is:

Ez = -dV/dz

Ez = -(14yz)

Ez = -14yz

8 0
3 years ago
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