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jolli1 [7]
3 years ago
6

PLEASE HELP! Quick Math Question!!

Mathematics
1 answer:
valkas [14]3 years ago
3 0
20 boats = 800 fishes
1 boat = 800/20 = 40 fishes
6 boats = 40 × 6 = 240 fishes

Correct option A
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Just part c please thanks
Dovator [93]
Unfortunately the portion of the graph shown does not show the locations of points A and B, nor does it show sufficient parts of the curve.

Fortunately, to do part C, it is not necessary to use the graph of the function, nor the locations of points A & B, since we know that t=-1 at A.

The solution is as follows:
We know that the tangent line has the equation
l : 2x -5y -9 = 0 ...................(1)
and that the parametric equation is
x = t^3 -8t;  y = t^2 ..............(2)

We can obtain the intersections of the tangent line (1) with the original curve (2) by substituting (2) in (1), giving
f(t) = 2*(t^3-8*t) -5*(t^2)-9 = 0
or on simplification,
f(t) = 2t^3 -5t^2 -16t -9 = 0 ....................(3) parametric equation of intersection points
Solution of which gives t=9/2 or t=-1.

Since t=-1 is the given tangent point, we conclude that t=9/2 is point B.

Translating into rectangular coordinates for t=9/2, we get
x=t^3-8t=(9/2)^3-8(9/2)= 441/8 = 55.125
y=t^2=(9/2)^2= 81/4 = 20.25

Therefore the coordinates of B:
t=9/2, or (55.125, 20.25)

Attached is the graphics of f(t), showing that t=-1 is a tangent line, and that the solutions are t=-1, or t=9/2.

8 0
3 years ago
How much simple interest is earned on $5,000 at an interest rate of 2.2% in 3 years?
Artyom0805 [142]

Answer:

$330

Step-by-step explanation:

8 0
3 years ago
What is the volume of this rectangular prism?
Leya [2.2K]

its 4.8*4.1*15=295.2 cm3

7 0
3 years ago
Read 2 more answers
Help a girl out pls!!!
MatroZZZ [7]

Answer: AA Similarity

Step-by-step explanation:

Since both shapes have two corresponding angles that are congruent, AA similarity is applied here.

3 0
2 years ago
An electrician bent a section of copper wire into a partial circle as shown. The dimensions are
ira [324]

Answer:

Length = 3.84 feets (nearest hundredth)

Step-by-step explanation:

The length of section of wire can be obtyaiejd using the length of of a arc formular :

Length of arc = θ/360° * 2πr

Radius, r = 2.5 feets

Length of arc = (88/360) *2πr

Length of arc = (88/360) * 2π*2.5

Length of arc = 0.244444 * 15.707963

Length of arc = 3.8397

Length = 3.84 feets (nearest hundredth)

7 0
3 years ago
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