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Sladkaya [172]
3 years ago
11

Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove at a constant

speed to get to the safe zone that was 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone. Let D represent the distance (in meters) from the safe zone after t seconds. Complete the equation for the relationship between the distance and number of seconds. D=
Mathematics
1 answer:
solniwko [45]3 years ago
7 0

Answer:

The answer is D(t) = 160 - 25t

Step-by-step explanation:

well khan academy said it lol

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What value of y satisfies the system of equations below?<br> 2x - y = 6<br> 2x + 3y = 14
Oksana_A [137]

Answer: y=2

Step-by-step explanation:

2x+3y=14 - 2x-y=6 = 4y=8

y=2

If you need x, just insert y into the equation and work out x from there

2x-2=6

2x=8

x=4

5 0
2 years ago
A pickup truck carrying 10 to the 3rd power identical bricks weighs 6,755 pounds. If the empty truck weighs 6,240 pounds, what i
Aleks04 [339]

Answer:

The answer is that each brick weights .515 pounds.

Step-by-step explanation:

10 to the 3rd power is 10^3 = 1000 bricks.

The weight of the full truck minus the weight of the empty truck is the weight of the bricks:

6755 - 6240 = 515 pounds of bricks

Pounds per brick:

515 / 1000 = .515 pounds per brick.

Hope this helps! Have a great day!

5 0
3 years ago
What is the surface area of 5, 8, and 3
Rashid [163]

Answer:

158

Step-by-step explanation:

5*8=40

8*3=24

3*5=15

Each of these measurements gets added twice, becasue there are 6 faces on a rectangular prism.

40 + 40 + 24 + 24 + 15 + 15 = 158

5 0
2 years ago
Read 2 more answers
Find the absolute extrema for f(x,y)=4-x^2-y^4+1/2y^2 over the closed disk D:x^2+y^2 is less than or equal to 1
algol [13]

Find the critical points of f(x,y):

\dfrac{\partial f}{\partial x}=-2x=0\implies x=0

\dfrac{\partial f}{\partial y}=y-4y^3=y(1-4y^2)=0\implies y=0\text{ or }y=\pm\dfrac12

All three points lie within D, and f takes on values of

\begin{cases}f(0,0)=4\\f\left(0,-\frac12\right)=\frac{65}{16}\\f\left(0,\frac12\right)=\frac{65}{16}\end{cases}

Now check for extrema on the boundary of D. Convert to polar coordinates:

f(x,y)=f(\cos t,\sin t)=g(t)=4-\cos^2-\sin^4t+\dfrac12\sin^2t=3+\dfrac32\sin^2t-\sin^4t

Find the critical points of g(t):

\dfrac{\mathrm dg}{\mathrm dt}=3\sin t\cos t-4\sin^3t\cos t=\sin t\cos t(3-4\sin^2t)=0

\implies\sin t=0\text{ or }\cos t=0\text{ or }\sin t=\pm\dfrac{\sqrt3}2

\implies t=n\pi\text{ or }t=\dfrac{(2n+1)\pi}2\text{ or }\pm\dfrac\pi3+2n\pi

where n is any integer. There are some redundant critical points, so we'll just consider 0\le t< 2\pi, which gives

t=0\text{ or }t=\dfrac\pi3\text{ or }t=\dfrac\pi2\text{ or }t=\pi\text{ or }t=\dfrac{3\pi}2\text{ or }t=\dfrac{5\pi}3

which gives values of

\begin{cases}g(0)=3\\g\left(\frac\pi3\right)=\frac{57}{16}\\g\left(\frac\pi2\right)=\frac72\\g(\pi)=3\\g\left(\frac{3\pi}2\right)=\frac72\\g\left(\frac{5\pi}3\right)=\frac{57}{16}\end{cases}

So altogether, f(x,y) has an absolute maximum of 65/16 at the points (0, -1/2) and (0, 1/2), and an absolute minimum of 3 at (-1, 0).

5 0
2 years ago
A rectangular field is 50 m long and 30 m broad. All sides of the field have to be walled. Find out the length of the wal​
Ulleksa [173]

Answer:

=50×30

= 1500m.

Step-by-step explanation:

field = length = breadth

4 0
3 years ago
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