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Arisa [49]
3 years ago
7

Calculate sales tax using the following information:

Mathematics
1 answer:
svetlana [45]3 years ago
8 0

Answer:

8.13

Step-by-step explanation:

125 x .065 = 8.13

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Subtract 35 times 2 with 360 and show the work please​
frozen [14]

Answer:

290

Step-by-step explanation:

36*2=70

360-70=290

8 0
3 years ago
What is the range of 220,2100,260,5160.​
IrinaVladis [17]

Answer:

range is the biggest number minus the smallest number

Step-by-step explanation:

so 5160-220=4940

7 0
3 years ago
Read 2 more answers
What is the inverse matrix that can be used to solve this systems of equations
Gala2k [10]

Step-by-step explanation:

The answer is OPTION C

Find the Inverse of a 3x3 Matrix.

First

Find the Determinant of A(The coefficients of e

Proceed towards finding the CO FACTOR of the 3x3 Matrix.

+. - +

A= [ 1 -1 -1 ]

[ -1 2 3 ]

[ 1 1 4 ]

The determinant of this is 1.

Find the co factor

| 2 3 | |-1 3 | |-1 2 |

| 1. 4. | |1 4 | |1. 1 |

|-1. -1 | |1 -1 | |1 -1

| 1. 4 | |1. 4| |1 1|

|-1. -1 | |1 -1 | |1. -1

|2. 3| |-1. 3| |-1 2|

After Evaluating The Determinant of each 2x 2 Matrix

You'll have

[ 5 7 -3]

[3 5 -2 ]

[-1 -2 1]

Reflect this along the diagonal( Keep 5,5 -2)

Then switching positions of other value

No need of Multiplying by the determinant because its value is 1 from calculation.

After this

Our Inverse Matrix Would be

[ 5 3 -1 ]

[7 5 -2 ]

[ -3 -2 1]

THIS IS OUR INVERSE.

SO

OPTION C

5 0
3 years ago
Write an equation for a circle if the endpoints of a diameter are at (–7, 1) and (5, 1).
yulyashka [42]
The diameter is 12 units long. Their equation could be seen in y = 1, because it is a horizontal line. From x = - 7 to x = 0 is 7 units. From x = 0 to x = 5, is 5 units. 5 + 7 = 12. This means the radius is 6. We will use this later. If you need another way to find the radius, let me know. I can just use distance formula. 

We will use these endpoints to find the center. 

Midpoint = ( \frac{X1+X2}{2} ,  \frac{Y1+Y2}{2} )
= ( \frac{- 7 + 5}{2} ,  \frac{1 + 1}{2} )
= ( \frac{-2}{2} ,  \frac{2}{2} )
= (- 1, 1)

This is the center. 

The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the center. 

Plug in our given information now.

(x + 1)² + (y - 1)² = 6²

(x + 1)² + (y - 1)² = 36 is your equation. 
3 0
4 years ago
A rocket is launched from a tower what time will the rocket reach its max
Lena [83]

Answer:

Step-by-step explanation:

A science class designed a ball launcher and tested it by shooting a tennis ball up and off the top of a 15-story building. They determined that the motion of the ball could be described by the function: h(t) = -16t2 + 144t + 160, where ‘t’ represents the time the ball is in the air in seconds and h(t) represents the height, in feet, of the ball above the ground at time t.

a) Graph the function h(t) = -16t2 + 144t + 160 (see below)

      b) What is the height of the building?

The height of the building is also the height of the tennis ball before it is launched into the air. This occurs when t=0 so substitute 0 for t and you get:

H(0) = -16(0)2 + 144(0) + 160

The height of the building is 160 feet.

 c) At what time did the ball hit the ground?

The ball hits the ground when the height is 0. Therefore, we are looking for a solution to: -16t2 + 144t + 160 = 0

Use the quadratic formula or put this into a calculator. The solution is t=10 and -1, but only 10 makes sense. Therefore, the ball hits the ground at 10 seconds.

  d) At what time did the ball reach its maximum height?

You can put this into the calculator or you can realize that the maximum height is also

− the vertex. The x-value (‘t’ in this case) is 2

−144

which is (2)(−16) = 4.5.

Therefore, the ball reached its maximum height at 4.5 seconds.

   e) What is the maximum height of the ball?

We calculated the time of the maximum height (4.5 seconds). Therefore, substitute 4.5 into the function to find the maximum height.

-16(4.5)2 + 144(4.5) + 160

The maximum height is 484 feet.

5 0
3 years ago
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