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slega [8]
3 years ago
8

Simplify:

Mathematics
1 answer:
OverLord2011 [107]3 years ago
8 0

Step-by-step explanation:

Simplify :

x4−6x3+2x−7+7x3−x+5x2+2−x4

x4−6x3+2x−7+7x3−x+5x2+2−x4

Rearranging and collecting the like terms, we get:

=(x4−x4)+(−6x3+7x3)+5x2+(2x−x)+(−7+2)

=(1−1)x4+(−6+7)x3+5x2+(2−1)x+(−7+2)

=(1)x3+5x2+(1)x−7+2

=x3+5x2+x−5

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A right regular pentagonal prism has a base edge length 14 cm, and height 12 cm. Identify the volume of the prism to the nearest
maks197457 [2]

Answer:

4046.56 cm3

Step-by-step explanation:

The base is made by 5 isosceles triangles, with one side of 14 cm, and the opposite angle of \frac{360} 5 = 72°. Each of the other angle is \frac{180-72} {2} =54°. From there, you can calculate the height of each base triangle as in \frac {h} 7 = tan54 or 9.634...cm.

Your volume will be 5 * \frac  {(14 * 9.634)} 2 * 12 = 4046.56 cm^3

7 0
3 years ago
Alberta has 5 shirts and 4 pants. 3 of the shirts are her favorite and 2 of the pants are her favorite. If Alberta chooses an ou
tiny-mole [99]

Answer:

\frac{3}{10}

Step-by-step explanation:

In probability, "AND" means "multiplication" and

"OR" means "addition".

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Probability that she picks favorite shirt = 3/5

Probability that she picks favorite pants = 2/4 = 1/2

Since, "AND", we "multiply" both to get:

3/5 * 1/2 = 3/10

5 0
4 years ago
A circle has the equation (x-2)^2 +y^2 =5. What are the coordinates of the circle's center?
Elina [12.6K]
The circle with center (h, k) and radius r has equation
.. (x -h)^2 +(y -k)^2 = r^2

You have
.. h = 2
.. k = 0
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The center is (h, k) = (2, 0).
3 0
3 years ago
A person invested $420 in an account growing at a rate allowing the money to double
AURORKA [14]

Answer:

t=11.9

Step-by-step explanation:

960=420(2)^t/10

2.28571429=2^t/10

add log to both sides

log(2.28571429)=10 t  log(2)

divide by log 2

1.19264508=  10 /t

10(1.19264508)

11.926450779=t

​

8 0
2 years ago
The length of a rectangle is 3 meters more than the width. The perimeter of the rectangle is 26 meters. If the width is b, which
Softa [21]

Answer:

Thehe answer is 75

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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