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bagirrra123 [75]
4 years ago
10

The radius of a circular disk is given as cm with a maximum error in measurement of cm. Use differentials to estimate the maximu

m error in the calculated area of the disk. What is the relative error? What is the percentage error?

Mathematics
1 answer:
kiruha [24]4 years ago
5 0

Answer:

<u><em>note:</em></u>

<u><em>find the attached solution</em></u>

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-4(3w-4x - 5)<br> ? Idk how to do this
Vitek1552 [10]

I believe it’s -12w+16x+20
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4 years ago
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A kangaroo leaps a total distance of six feet with a maximum height of two feet. Write the equation representing the path of the
Serjik [45]
In order to find how long the the kangaroo's jump was, we are going to find out what the value of x is when y=0, because y=0 represents the kangaroo on the ground.
0 = -0.03(x - 14)2 + 6 Original equation with 0 substituted for y
0.03(x - 14)2 = 6 Add 0.03(x - 14)2 to each side
(x - 14)2 = 200 Divide both sides by 0.03
x - 14 = +/- 10√2 Take the square root of each side
x = 14 +/- 10√2 Add 14 5o each side
Because 10√2 is approximately 14.14, 14 - 10√2 is approximately 0. This makes sense because the kangaroo has not left the ground yet at 0 ft. The correct answer is 14 + 10√2, which is approximately 28.14 ft.
For part a, we want to use the distance that is halfway between the zeroes of the jump. That is the point halfway between 14 - 10√2 and 14 + 10√2. In other words, we need to use the value 10√2 (approx. 14.14) for x and solve for y.
y = -0.03(10√2 - 14)2 + 6 Write original equation with 10√2 substituted for y
y = -0.03(14.14 - 14)2 + 6 (Using approximation)
y = -0.03(0.14)2 + 6 Substitute (14.14 - 14 = 0.14)
y = -0.03(0.0196) + 6 Square 0.14
y = -0.000588 + 6 Multiply -0.03 times 0.0196
y = 5.999412 Add -0.00588 and 6
y = 6 Round
I went through all of the this work to show that the maximum point of the parabola (the highest point in the kangaroo's jump) is actually the point where the value being squared is 0 (14 - 14). The y-value of the vertex is 6. That is also the highest point in the jump.

The answers are:
a. 6 ft
b. 28.14 ft
5 0
3 years ago
Help me please, thanks.<br><br> -Tornado
Ann [662]

Answer:

x =   -  \frac{25}{3}

Step-by-step explanation:

\frac{10}{3}  =  \frac{x}{( -  \frac{5}{2}) }

<h3>i) simplify the complex fraction</h3>

\frac{10}{3}  =  -  \frac{2x}{5}

<h3>ii) simplify the equation using cross multiplication</h3>

5(10) =  - 2x(3)

50 =  - 6x

<h3>iii) swap the sides of the equation</h3>

- 6x = 50

<h3>iv) divide both sides of the equation by -6</h3>

\frac{ - 6x}{ - 6}  =  \frac{50}{ - 6}

x =  -  \frac{50}{6}

<h3>v) simplify the fraction</h3>

x =  -  \frac{25}{3}

6 0
3 years ago
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10.(02.06 LC)<br> The number line below represents which combined inequality? (5 points)
ZanzabumX [31]
For me it’s most likely to be A because I combine the inequality and got A so hope this helped
6 0
3 years ago
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3. Given that ∆RSV - ∆RTU, find the coordinates of S and the scale factor. R(0, 0) T(16,0) V(0, --6) U(0, -8) ​
MArishka [77]

Answer:

I'll give the scale factor and you can compute the coordinates of S

Step-by-step explanation:

the dilation if centered about the origin is the scale factor multiplied by each coordinate.

so looking at points V and U, the scale factor F is found by solving for F:

-6xF= -8

F=8/6=4/3

Now you can compute the coordinates for S

send a comment if you need help

5 0
3 years ago
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