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tester [92]
3 years ago
7

Determine the slope of the line that contains the given points. T(–6, 6), V(8, 8)

Mathematics
1 answer:
Alex73 [517]3 years ago
4 0

Answer:

m = 1/7

Step-by-step explanation:

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A scientist is working with 9 meters of gold wire. How long is the wire in millimeters?
faust18 [17]
The answer is 9000 millimeters because every meter is 1000 millimeters.
5 0
3 years ago
of the following, which is not true of r? The value r does not depend on the units of y and x, r is always between 0 and 1, r me
saveliy_v [14]

Answer:

  r is always between 0 and 1

Step-by-step explanation:

The untrue statement is ...

  r is always between 0 and 1

One way you can tell is that it is inconsistent with the true statement |r| ≤ 1.

_____

<em>Comment on correlation coefficient</em>

The correlation coefficient (r) is the ratio of the covariance of x and y to the product of the standard deviations of x and y. This formula is symmetrical in x and y, so it doesn't matter which data set you call x and which one you call y. Similarly, the units cancel, so r is a unitless number, and the units of x and y don't matter, either.

6 0
2 years ago
Consider the function f(x)=xln(x). Let Tn be the nth degree Taylor approximation of f(2) about x=1. Find: T1, T2, T3. find |R3|
Fynjy0 [20]

Answer:

R3 <= 0.083

Step-by-step explanation:

f(x)=xlnx,

The derivatives are as follows:

f'(x)=1+lnx,

f"(x)=1/x,

f"'(x)=-1/x²

f^(4)(x)=2/x³

Simialrly;

f(1) = 0,

f'(1) = 1,

f"(1) = 1,

f"'(1) = -1,

f^(4)(1) = 2

As such;

T1 = f(1) + f'(1)(x-1)

T1 = 0+1(x-1)

T1 = x - 1

T2 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2

T2 = 0+1(x-1)+1(x-1)^2

T2 = x-1+(x²-2x+1)/2

T2 = x²/2 - 1/2

T3 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2+f"'(1)/6(x-1)^3

T3 = 0+1(x-1)+1/2(x-1)^2-1/6(x-1)^3

T3 = 1/6 (-x^3 + 6 x^2 - 3 x - 2)

Thus, T1(2) = 2 - 1

T1(2) = 1

T2 (2) = 2²/2 - 1/2

T2 (2) = 3/2

T2 (2) = 1.5

T3(2) = 1/6 (-2^3 + 6 *2^2 - 3 *2 - 2)

T3(2) = 4/3

T3(2) = 1.333

Since;

f(2) = 2 × ln(2)

f(2) = 2×0.693147 =

f(2) = 1.386294

Since;

f(2) >T3; it is significant to posit that T3 is an underestimate of f(2).

Then; we have, R3 <= | f^(4)(c)/(4!)(x-1)^4 |,

Since;

f^(4)(x)=2/x^3, we have, |f^(4)(c)| <= 2

Finally;

R3 <= |2/(4!)(2-1)^4|

R3 <= | 2 / 24× 1 |

R3 <= 1/12

R3 <= 0.083

5 0
2 years ago
X2 + 5x - 14 Select one of the factors of the quadratic expression.
vfiekz [6]
The equation factored would be (x+7)(x-2). As 7-2=5 and (7)(2)=14.
3 0
3 years ago
Find the arc length, x, when
Arte-miy333 [17]

The arc length of the circle is 5π/9 units

<h3>How to determine the arc length?</h3>

From the question, we have the following parameters

Angle, ∅ = 5π/9

Radius, r = 1 unit

The arc length (x) is calculated as

x = r∅

Substitute the known values in the above equation

x = 5π/9 * 1

Evaluate the product

x = 5π/9

Hence, the arc length of the circle is 5π/9 units

Read more about arc lengths at:

brainly.com/question/2005046

#SPJ1

5 0
2 years ago
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