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madreJ [45]
4 years ago
14

Please help

Mathematics
1 answer:
ddd [48]4 years ago
7 0

Answer:

5

Step-by-step explanation:

You might be interested in
) If the gradient of ff is ∇f=xi⃗ +yj⃗ +3zyk⃗ ∇f=xi→+yj→+3zyk→ and the point P=(−6,−6,−2)P=(−6,−6,−2) lies on the level surface
Paha777 [63]

Answer:

-3x-3y-z=38

Step-by-step explanation:

To find the equation of the tangent plane you can use

\bigtriangledown f_x(x_0,y_0,z_0)(x-x_0)+\bigtriangledown f_y(x_0,y_0,z_0)(y-y_0)+\bigtriangledown f_z(x_0,y_0,z_0)(z-z_0)=0

the point P is (-6,-6,-2). Hence you have

(-6)(x-(-6))+(-6)(y-(-6))+(-2)(z-(-2))=0\\-6x-36-6y-36-2z-4=0\\-6x-6y-2z=76\\-3x-3y-z=38

hope this helps!!

5 0
3 years ago
A line passes through the point (4, -3) and has a slope of -3. Write an equation in slope-intercept form for this line.​
Alex73 [517]

y=-3x+9

explanation

m=-3 (X1,Y1) = (4,-3)

(y-y1)= m×(x-x1)

(y-(-3))=-3(x-4)

y+3= -3x+12

y=-3x+12-3

y=-3x+9

6 0
3 years ago
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5
iris [78.8K]

Answer:

By the Empirical Rule, 99.7% of the students have grade point averages that are between 1.28 and 3.8.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 2.54

Standard deviation = 0.42.

Between 1.28 and 3.8?

1.28 = 2.54 - 3*0.42

So 1.28 is 3 standard deviations below the mean

3.8 = 2.54 + 3*0.42

So 3.8 is 3 standard deviations above the mean

By the Empirical Rule, 99.7% of the students have grade point averages that are between 1.28 and 3.8.

5 0
3 years ago
Read 2 more answers
If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?
QveST [7]
The correct answer  is 2,1
6 0
3 years ago
Read 2 more answers
The points (3, 24) and (7, 56) represent points of a function where y, the number of photographs, varies directly with x, the nu
tester [92]
(3,24)(7,56)
slope = (56 - 24) / (7 - 3) = 32/4 = 8

y = mx + b
slope(m) = 8
(3,24)...x = 3 and y = 24
now we sub
24 = 8(3) + b
24 = 24 + b
24 - 24 = b
0 = b

so ur equation is : y = 8x + 0...or just y = 8x

to find ur answer, take ur answer choices and sub them into y = 8x and whichever one is true is ur answer.
6 0
3 years ago
Read 2 more answers
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