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Stels [109]
2 years ago
14

Evaluate | - 26) if b = 8.

Mathematics
1 answer:
Anna11 [10]2 years ago
6 0

Answer:

i don't see a b in the equation

Step-by-step explanation:

You might be interested in
25a^2-30a+9 factor ?
CaHeK987 [17]

Factor 25a2−30a+9

25a2−30a+9

=(5a−3)(5a−3)

Answer:

(5a−3)(5a−3)


4 0
3 years ago
In 2010, the population of a town was 8500. The population decreased by 4.5% each year.
Soloha48 [4]

Answer:

This is a problem in exponential decay.

a) If a town's population decreases by 4.5% every year that also means that the town's population decreases by a factor of .955 each year.  (1 - .045 = .955)

So, after 5 years, the town's population is:

8,500 * .955^5 which equals 6,752.

So, basically, after t years, the town's population equals

8,500 * .955^t  where t is the number of years that have passed since the year 2010.

b) population = 8,500 * .955 ^ (number of years since 2010)

7,000 / 8,500  = .955 ^ (number of years since 2010)

0.8235294118  = .955 ^ (number of years since 2010)

To solve for (number of years since 2010) we take logs of both sides

log (0.8235294118 ) = number of years since 2010 * log(.955)

-0.0843208857  = number of years since 2010 * -0.0199966284

-0.0843208857  / -0.0199966284  = number of years since 2010

4.2167551422  = number of years since 2010

So, population = 7,000 when the year is 2014.2167551422

Or about  2.6 months into 2014

(YES, it's just that "easy")  LOL

Step-by-step explanation:

6 0
2 years ago
If 37.5% of the 600 shoppers stated they would buy the new flavor, how many of the 600 would buy it?
Vinvika [58]

Answer:

225  lo comprarían

Step-by-step explanation:

Para sacar el porcentaje se multiplica el numero por el porcentaje y dividir entre 100

37.5x600/100

37.5x 600= 22, 500

22,500/100= 225

<u>225 lo comprarían </u>

3 0
2 years ago
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

__

<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.

__

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.)

3 0
3 years ago
Describe the relationship between angles f, b, and a in the diagram.
anyanavicka [17]

Answer:

Soory dont know

4 0
3 years ago
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