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4 years ago

When graphing the following equation, where does the solution plane cross the z-axis?

1 answer:

8 0

Your plane is 3x-y+4z=32 and you want to know when it crosses the z-axis or in other words intersects it. Along the z axis only z changes, additionally it goes through the origin (0,0,0).
So we can insert x=y=0 into the plane to calculate the point along the z-axis where it intersects the plane:
3x-y+4z=32
insert 0s:
4z=32
z=8

so the solution plane intersects the z-axis at (0,0,8)

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Find the area and the circumference of a circle with a diameter 8yrd.

nalin [4]

Answer:

Part 1) The area of the circle is $A=50.24\ yd^2$

Part 2) The circumference of the circle is $C=25.12\ yd$

Step-by-step explanation:

step 1

The area of a circle is equal to

$A=\pi r^{2}$

we have

$r=8/2=4\ yd$ ---> the radius is half the diameter

$\pi =3.14$

substitute

$A=(3.14)(4)^{2}$

$A=50.24\ yd^2$

step 2

The circumference of a circle is equal to

$C=\pi D$

we have

$D=8\ yd$

$\pi =3.14$

substitute

$C=(3.14)8$

$C=25.12\ yd$

3 0

3 years ago

Help quickly! A student wants to report on the number of movies her friends watch each week. The collected data are below:

max2010maxim [7]

1.The measure of center that is most appropriate for this situation is the MEDIAN. This is because, one of the number given is an outlier, that is, it is much greater than the rest of the given numbers. If the mean of the number given is calculated, it will be discovered that the mean value obtained is higher than most of the scores in the data set, thus,the mean is not a suitable measure of central tendency in this case.
2. To find the median of the given numbers, arrange them in a descending order and add the two numbers in the middle then divide the value by 2.
That is, 0, 0, 1, 1, 2, 2, 2, 14.
The two numbers in the middle is 1 and 2.
Median = [1 + 2] / 2 = 3/2 = 1.5
Therefore, the median is 1.5

6 0

3 years ago

Finish labeling the number of elements in the regions in the Venn diagram shown to the right, where the subsets

Virty [35]

Answer:

t=14

v=13

q=12

s=23

w=-4

x=28

Step-by-step explanation:

we know that the universal set =100

so, everything in it must add up to 100

first, from the information given to us,

t= n(A n C)= 14

v=n(B n C)= 13

to find q

we know from our guide that n(A) =40

which means everything inside A will add up to 40

therefore,

q + 7 + 7 + t = 40

and we already know that t = 14

so, that will be;

q + 7 + 7 + 14 = 40

therefore, q = 12

to find s,

we all know that n(B) = 50

which means that everything inside B will be equal to 50

therefore,

s + 7 + 7 + v = 50

and we know that v = 13

therefore,

s + 7 + 7 + 13 = 50

and s will end up to be = 23

to find w,

we know that n(C) = 30

so, everything in C end up to be all equal to 30

therefore,

t + 7 + w + v = 30

from our solution, t = 14, v = 13

so,

14 + 7 + w

4 0

3 years ago

How much cm³ is it the cilinder?

pychu [463]

Answer:

one because it is cilinder

7 0

2 years ago

Read 2 more answers

Which is greater 78.61 or78.6

ANTONII [103]

Answer:

78.61 is greater than 78.6.

Step-by-step explanation:

Adding a zero to 78.6, resulting in 78.60, makes it easier to compare 78.6 and 78.61. 78.61 is greater than 78.6.

7 0

3 years ago