I know I haven't been on this app for a long time but can ya'll help me

Jon ran 5 1/2 miles twice this week. How many miles did he run total?

wlad13 [49]

Answer:

11

Step-by-step explanation:

5 1/2 x 2= 11

5 0

2 years ago

A chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 45% pure anti

Elenna [48]

I can’t wait for the shower and I’ll be fine with it and it will work for me and I will love it baby I can’t

7 0

2 years ago

A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated. What is the appr

Shkiper50 [21]

The approximate probability that the code only contains odd numbers is 0.02381.

3 0

2 years ago

Read 2 more answers

URGENT! (Grades close tomorrow and turning this in will boost my grade from a B to an A in College Algebra. I can't figure these

zvonat [6]

Answer:

24. see below for a drawing with axis intercepts labeled

30. the plane is parallel to the y-z plane. It is "x=4". The only axis intercept is (4, 0, 0).

Step-by-step explanation:

24. The axis intercepts are fairly easily found. You can do it a couple of ways.

<u>first way</u>

Set other variables to zero and divide by the coefficient of the variable of interest.

For 3x +5y +15z = 15, the x-intercept can be found by setting y and z to zero. This gives ...

3x = 15

so, dividing by 3 tells you the x-intercept is ...

x = 15/3 = 5

Likewise, the y- and z-intercepts are, respectively, ...

y = 15/5 = 3

z = 15/15 = 1

So, the points where the plane crosses the axes are ...

(5, 0, 0), (0, 3, 0), (0, 0, 1) . . . . axes intercepts

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<u>second way</u>

Divide by the constant on the right, and express all coefficients as denominators

Doing that gives ...

$\dfrac{3x+5y+15z}{15}=1\\\\\dfrac{x}{5}+\dfrac{y}{3}+\dfrac{z}{1}=1$

The denominators are the corresponding intercepts. (This is called the "intercept form" of the equation of the plane.)

From the above equation, we see the axis intercepts are ...

(5, 0, 0), (0, 3, 0), (0, 0, 1) . . . . same as above

Actually, the math for these two methods is virtually identical. The second way does it "all at once", so can take fewer steps. Effectively, you're doing the math of the "first way" and expressing the result in the denominator.

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Please note that when a variable is missing, there is no intercept for that axis. That is, the plane is parallel to that axis. (In problem 30, for example, the y- and z-variables are missing. The plane x=4 is parallel to the y- and z-axes (the y-z plane).)

_____

In the first attached drawing, the x-axis is red, the y-axis is green, and the z-axis is blue. The labeling of the points is difficult to see, but the axes are a different (lighter) color behind the plane than in front of it. This plane forms a triangle in the first octant (x, y, z > 0).

In the second attached drawing, the x=0 plane is blue; the y=0 plane is green, and the z=0 plane is red. The plane of the equation is yellow. This figure better shows the triangle in the first octant.

3-D graph paper (isometric graph paper) grids are available with a web search. Such might make it easier to draw the planes you need to draw. (See the third attachment for one example.)