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3 years ago

Simplify hshwhebhsjsbshs

Mathematics

1 answer:

kipiarov [429]3 years ago

5 0

Answer:

2k^5/k^-3

Step-by-step explanation:

1. Use Product Rule

2k^(3+2)/k^-3

2. Simplify you answer by adding 3+2

2k^5/k^-3

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Solve the system of equations.

guajiro [1.7K]

Answer:

Option b. (x = 3, y = 20, z = -14)

Step-by-step explanation:

Given:

2x + 2y + 3z = 4

5x + 3y + 5z = 5

3x + 4y + 6z = 5

Solve using Cramer’s rule

∴ $\left[\begin{array}{ccc}2&2&3\\5&3&5\\3&4&6\end{array}\right] =\left[\begin{array}{ccc}4\\5\\5\end{array}\right]$

∴A = $\left[\begin{array}{ccc}2&2&3\\5&3&5\\3&4&6\end{array}\right] = -1$

Ax = $\left[\begin{array}{ccc}4&2&3\\5&3&5\\5&4&6\end{array}\right] = -3$

Ay = $\left[\begin{array}{ccc}2&4&3\\5&5&5\\3&5&6\end{array}\right] =-20\\$

Az = $\left[\begin{array}{ccc}2&2&4\\5&3&5\\3&4&5\end{array}\right] = 14$

∴ x = Ax/A = -3/-1 = 3

y = Ay/A = -20/-1 = 20

z = Az/A = 14/-1 = -14

So, the answer is option b. (x = 3, y = 20, z = -14)

4 0

3 years ago

The amount of interest earned every year with simple interest is constant. true or false

Charra [1.4K]

Answer:

True.

Step-by-step explanation:

If I = prt, They are all being multiplied together, therefor being constant.

4 0

2 years ago

DUE NOW PLEASE HELP ME

NISA [10]

Answer:

Step-by-step explanation: 16.990107955403875

•Rectangular prism - Multiply the measurement of the length times the width, then times the height

•Cube - Since all sides are the same measurement, it would be the measurement of any side, or edge, cubed, or a³

•Prism - Find the area of the base, then multiply the area times the height of the prism. Area would be length times width (B), or B x h

•Triangular prism - Find the area of the base (b), then multiply the area times the length (l) between the triangular bases. Area of the base would be ½ times the base times the height (h) of the triangle, or ½bhl

•Cylinder - Find the area of the circular face using pi times the radius squared, then multiply that area times the height of the cylinder, so πr²h

•Pyramid - Find the area of the base and multiply that area times the height of the pyramid and multiply by 1/3, or 1/3Bh

•Square pyramid - Find the area of the base and multiply that area times the height of the pyramid and multiply by 1/3, or 1/3s²h

•Rectangular pyramid - Find the area of the base and multiply that area times the height of the pyramid and multiply by 1/3, or 1/3 lwh

•Sphere - For a sphere, multiply 4/3 times pi, then time the radius cubed, or 4/3 πr³

6 0

2 years ago

Nikki has $1100 and spends $35 per week. Mich has $520 and saves $55 per week. In about how many weeks, will Nikki and Micah hav

Rashid [163]

Answer:

6 weeks

Step-by-step explanation:

Given that :

Nikki :

Initial amount = $1100 ;

Amount spent per week = $35

Mich:

Initial amount = $520

Amount saved per week = $55

Number of weeks they'll both have the same amount :

Let number of weeks = w

For Nikki who is spending :

1100 - 35w - - - (1)

For Mich who is saving :

520 + 55w - - - (2)

Equate (1) and (2)

1100 - 35w = 520 + 55w

1100 - 520 = 55w + 35w

580 = 90w

w = 580 / 90

w = 6.444

About 6 weeks

5 0

2 years ago

The segments shown below could form a triangle.

Rina8888 [55]

Answer:

A. True

Step-by-step explanation:

The Triangle Inequality Theorem says that the sum of any two sides must be greater than the third side. Let's see if this is true.

a + b

9 + 1 = 10>9

a + c

9 + 9 = 18>1

c + b

9 + 1 = 10>9

5 0

2 years ago