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SOVA2 [1]
3 years ago
10

Rewrite the exponential function y = 12 (0.56)^(t/4). Round your answer to two decimal places.

Mathematics
2 answers:
dangina [55]3 years ago
7 0
The exponential function will be written as:
<span> y = 12 (0.56)^(t/4)
y=12(0.56^(1/4))^t
but
</span>0.56^(1/4)=0.8651
thus plugging the value in y we get:
y=12(0.8651)^t
in two decimal places we get:
y=12(0.87)^t
marishachu [46]3 years ago
7 0

The exponential function will be written as:

y = 12 (0.56) ^ (t/4)  

y=12 (0.56^ (1/4)) ^t

but

0.56^ (1/4) = 0.8651

thus plugging the value in y we get:

y=12 (0.8651) ^t

in two decimal places we get:

y=12 (0.87) ^t

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The volume of a tetrahedron is 1 6 of the volume of a parallelepiped whose sides are formed using the vectors coming out of one
Irina18 [472]

Answer: The volume of the tetrahedron is 2 units.

Step-by-step explanation:

Let A = (1, 1, 1)

B = (1, 5, 5)

C = (2, 2, 1)

The volume of a tetrahedron is given as

V = (1/6)|AB, AC, AD|

Where |AB, AC, AD| is the determinant of the matrix of AB, AC, AD.

We need to determine AB, AC, and AD

Suppose A = (a1, a2, a3)

B = (b1, b2, b3)

C = ( c1, c2, c3)

AB = ( b1 - a1, b2 - a2, b3 - a3)

Similarly for AB, AC, BC, etc.

AB = (1 - 1, 5 - 1, 5 - 1)

= (0, 4, 4)

AC = (1, 0, 2)

AD = (1, 1, 0)

Volume =

(1/6) |0 4 4|

|1 0 2|

|1 1 0|

= (1/6)[0(0 - 2) - 4(0 - 2) + 4(1 - 0)

= (1/6)(0 + 8 - 4)

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V = 12/6 = 2 units

5 0
3 years ago
Write an equation for the line that connects A (-4,8) and B (6,3)
Mazyrski [523]

Answer:

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Step-by-step explan

A (-4,8) and B (6,3)

First find the slope;

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m=(3-8)/(3+4)

m=-5/7

now using equation of line

y-y1= m(x-x1)

y-8=-5/7 (x+4)

y-8=(-5x+20)/7

7(y-8)= -5x+20

7y-56=-5x+20

7y+5x=20+56

7y+5x=76

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