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Tanya [424]
3 years ago
6

Find a vector parametric equation r⃗(t) for the line through the points P=(1,0,−2) and Q=(1,5,1) for each of the given condition

s on the parameter t, assuming r⃗ (0)=<1,0,−2> and r⃗ (4)=<1,5,1>.
Mathematics
1 answer:
const2013 [10]3 years ago
7 0
So the question ask to find and calculate the vector parametric equation r(t) for the line through the points P=(1,0,-2) and Q(1,5,1) for each given condition. And the possible vector parametric equation is <1,2,-2>+t/4<1,5,3>. I hope you are satisfied with my answer and feel free to ask for more 
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MrRa [10]
Part 1
Total paid
=cost of the bond+commission
Total paid
32×96.7+32×10=3,414.4

Part 2
Annual interest
32×96.7
=3,094.4
3,094.4×0.08625
=266.892...Annual interest

Part 3
The effective interest rate
((1+0.08625÷12)^(12)−1)×100
=8.974%
6 0
3 years ago
If 8(x) is the inverse of f(x) and f(x) = 4x + 12 what is g(x) ?
kompoz [17]

Answer:

(y-12)/4

Step-by-step explanation:

If g(x) is the inverse of f(x)

and f(x) = 4x + 12

f⁻¹(x) = g(x)

let f(x) be represented as y

f(x) = y

y = 4x + 12

subtract 12 from both sides

y-12= 4x

divide both sides by 4

(y-12)/4 = x

so f  ⁻¹ (y)=  (y-12)/4 so g(x) =  (x-12)/4

7 0
3 years ago
Please I need help quick
mafiozo [28]
The ratios are both identical

sin x = perpendicular/hypotenuse = 3/5
cosy = base/hypotenuse = 3/5
4 0
3 years ago
Read 2 more answers
Ryan got $25 for his birthday. His dad told him not to spend it all in one place, so he wants to divide it up evenly between 5 c
vodka [1.7K]

Answer:

5

Step-by-step explanation:

When you divide 25/5 the answer is 5 dollars per store

7 0
3 years ago
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Write the equation of a parabola with focus at (1,-4) and a directrix at X=2
konstantin123 [22]

Answer:

The equation of a parabola is

x =  \frac{1}{4(f - h)} (y - k) ^{2}  + h

Step-by-step explanation:

(h,k) is the vertex and (f,k) is the focus.

Thus, f = 1, k = −4.

The distance from the focus to the vertex is equal to the distance from the vertex to the directrix: f - h = h - 2.

Solving the system, we get h = 3/2, k = -4, f = 1.

The standard form is:

x =  -  \frac{y ^{2} }{2}  - 4y -  \frac{13}{2}

The general form is:

2x +  {y}^{2}  + 8y + 13 = 0

The vertex form is:

x =  -  \frac{(y + 4) ^{2} }{2}  +  \frac{3}{2}

The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: y = -4.

The focal length is the distance between the focus and the vertex: 1/2.

The focal parameter is the distance between the focus and the directrix: 1.

The latus rectum is parallel to the directrix and passes through the focus: x = 1.

The length of the latus rectum is four times the distance between the vertex and the focus: 2.

The eccentricity of a parabola is always 1.

The x-intercepts can be found by setting y = 0 in the equation and solving for x.

x-intercept:

( -  \frac{13}{2}  \: ,0)

The y-intercepts can be found by setting x = 0 in the equation and solving for y.

y-intercepts:

(0, - 4 -  \sqrt{3)}

(0, - 4 +  \sqrt{3)}

3 0
2 years ago
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