Lines a and b are parallel. What is the measure of ∠5 if ∠4 measures 104°?

Find the cube root of 10 upto 5 signaficant figures by newton raphson method

AnnZ [9099]

Answer: The cube root of 10 is 2.1544, using an initial value of -0.003723.

Step-by-step explanation: The Newton-Raphson method is utilized for root finding, and its formula is NR: X=Xo-(f(x)/f'(x)). Before applying this formula, the derivative of the equation must be determined. Given that X =10, this method was implemented to identify the best root to ascertain the cube root of 10 to 5 significant figures. Utilizing software like Excel for quicker iteration calculations is advisable. The found root in this instance was -0.003723.

6 0

28 days ago

Let P be a point not on the line L that passes through the points Q and R. The distance d from the point P to the line L is d =

AnnZ [9099]

Answer:

The distance from the point (0,1,1) to the specified line is zero.

Step-by-step explanation:

Considering the parametric equations of the line,

x=2t, y=5-2t, z=1+t

In order to calculate the distance from (0,1,1), we must remove t from the equations above, such that

$y=5-2t=5-x\implies x+y=5=4+1=4+z-t=4+z-\frac{1}{2}x$

$\implies 3x+2y-2z-8=0\hfill (1)$

whose direction ratios are (l,m,n)=(3,2,-2) and the distance from point (a,b,c)=(0,1,1) is defined as

$\frac{al+bm+cn}{\sqrt{l62+m^2+n^2}}=\frac{(3\times 0)+(2\times 1)+(-2)(1)}{\sqrt{3^2+2^2+(-2)^2}}=\frac{0+2-2}{\sqrt{17}}=0$

The distance between the point (0,1,1) and (1) amounts to zero. Therefore, the point (0,1,1) is located on the line (1).

8 0

13 days ago

Question 10 Multiple Choice Worth 1 points)

lawyer [9240]

Answer:

The increase is linear since the data indicates that sunflowers grew by a consistent amount each month.

Step-by-step explanation:

Referring to the table

$\begin{array}{lcccc}\text{Month}&1&2&3&4\\ \\\text{Sunflowers}&15&17.2&19.4&21.6\end{array}$

Observe that the months progress incrementally (21-1, 3-2=1, 4-3=1).

Moreover

$17.2-15=2.2\ [\text{from month 1 to month 2}]\\ \\19.4-17.2=2.2\ [\text{from month 2 to month 3}]\\ \\21.6-19.4=2.2\ [\text{from month 3 to month 4}]$

This indicates a linear increase in sunflower count, as the data shows a consistent monthly rise.

3 0

21 day ago

Assume that a study of 500 randomly selected airplane routes showed that 482 arrived on time. Select the correct interpretation

babunello [8412]

Answer: C. Significant at 0.036

Step-by-step explanation:

Given:

Total samples selected Ns= 500

Airplanes that arrived on time Na = 482.

Airplanes that arrived late Nl = 500 - 482 = 18

Calculating the probability of an airplane arriving late:

P(L) = Nl/Ns

P(L) = 18/500

P(L) = 0.036

An event is deemed significant if its probability is equal to or less than 0.05.

As P(L) < 0.05

P(L) = Significant at 0.036

4 0

29 days ago

Suppose a basketball team had a season of games with the following characteristics: Of all the games, 60% were at-home games. De

tester [8842]

Answer:

E. P(W | H)

Step-by-step explanation:

Meaning of each probability:

P(H): Likelihood of the game occurring at home

P(W): Likelihood of the game resulting in a win.

P(H and W): Likelihood that the game is both at home and a win.

P(H|W): Likelihood of a win occurring when at home.

P(W|H): Likelihood of winning at home games.

Which probabilities are necessary to determine the fraction of home games that were victories?

This is the probability of winning a home game. Hence, the answer is:

E. P(W | H)

6 0

2 days ago