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2 years ago

Line f has a slope of -9/7. Line g is perpemdicular to f. What is thr slope of line g

Mathematics

2 answers:

Dmitriy789 [7]2 years ago

8 0

The slope of line F is 9/7 without the negative symobolb

Marysya12 [62]2 years ago

8 0

The slope of line g is 9/7

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The temperature function (in degrees Fahrenheit) in a three dimensional space is given by T(x, y, z) = 3x + 6y - 6z + 1. A bee i

madam [21]

You're looking for the extreme values of $T(x,y,z)=3x+6y-6z+1$ subject to $x^2+y^2+z^2=9$ . The Lagrangian is

$L(x,y,z,\lambda)=3x+6y-6z+1+\lambda(x^2+y^2+z^2-9)$

with critical wherever the partial derivatives vanish:

$L_x=3+2\lambda x=0\implies x=-\dfrac3{2\lambda}$

$L_y=6+2\lambda y=0\implies y=-\dfrac3\lambda$

$L_z=-6+2\lambda z=0\implies z=\dfrac3\lambda$

$L_\lambda=x^2+y^2+z^2-9=0$

Substituting the first three solutions into the last equation gives

$\dfrac9{4\lambda^2}+\dfrac9{\lambda^2}+\dfrac9{\lambda^2}=9$

$\implies\lambda=\pm\dfrac32$

$\implies x=1,y=2,z=-2\text{ or }x=-1,y=-2,z=2$

At these points, we have

$T(1,2,-2)=28$

$T(-1,-2,2)=-26$

so the highest temperature the bee can experience is 28º F at the point (1, 2, -2), and the lowest is -26º F at the point (-1, -2, 2).

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3 years ago

75/100 in its simplest form

Oxana [17]

3/4 is the answer for your question

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3 years ago

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To inspect manufacturing processes, companies typically examine samples of parts for deficiencies. One company that manufactures

marishachu [46]

Answer:

a. All measures exist

b. The Mean and the mode

c. Positively skewed

d. The mean and the median

Step-by-step explanation:

a. The frequencies of the data are;

1 2

2 4

3 1

5 2

6 3

9 1

11 1

14 1

15 1

18 1

The formula for mode is given as follows;

The mean = 108/17 = 6.35

The median of 1 1 2 2 2 2 3 5 5 6 6 6 9 11 14 15 18 = (n + 1)/2th term = 9th term

∴ The median = 5

The mode = 3×Median - 2 × Mean = 15 - 2 × 6.35 = 2.29

Hence all exist

The answer is none theses measures

b. Whereby 18 is replaced by 39 the mean will be then be

(108 + 39 - 18)/17 = 7.59

The median, which is the 9th term remain the same;

Hence only the mean and mode will be affected

c. Since more values are concentrated on the left side of the data distribution, the distribution is positively skewed

d. The largest measurement = 18 the 17th term

Removal will give

Mean = (108 - 18)/16 = 5.625 Mean changes

Median = (16 + 1)/2 th term = 8.5th term = 5 The median remains the same

The mode = 3(Mean - Median) changes

Therefore, the mean and the median will be changed.

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3 years ago

Otis measured the heights of several sunflowers. He found that their heights were 4, 6, 7, 9, and 9 feet Otis found that the mea

lana66690 [7]

Answer:

B) 7 feet is the median (center) and 5 is the range (spread)

Step-by-step explanation:

spread is the difference between the largest and smallest numbers in the data set (9 - 4 = 5 in this case)

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3 years ago

Guys please help me whit this , I got a lot of time doing this please give me the answer

Usimov [2.4K]

Answer:

Step-by-step explanation:

this needs evaluation of Bella's income on every chore.

say when c = 1, d = 3.5*1+11= 14.5

c=2 d = 3.5*2+11= 18..evaluate for c=3,4,5.

with that it can be found that bella earns more than sweet t. so choice c

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3 years ago

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