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3 years ago

A boy scout has 3 meters of rope. He cuts the rope into cords on 3/5 m long. How many cords will he make?

Mathematics

1 answer:

zepelin [54]3 years ago

3 0

It should be 5, i have uploaded it worked out

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Simplify the expression below. (12s4−6s2+4s)+(6s4−4s+27)−(4s4+s2+12)

Rama09 [41]

Answer:

=14s4−7s2+15

Step-by-step explanation:

Steps:

1: Distribute the Negative Sign

=12s4−6s2+4s+6s4−4s+27+−1(4s4+s2+12)

=12s4+−6s2+4s+6s4+−4s+27+−1(4s4)+−1s2+(−1)(12)

=12s4+−6s2+4s+6s4+−4s+27+−4s4+−s2+−12

2: Combine Like Terms

=12s4+−6s2+4s+6s4+−4s+27+−4s4+−s2+−12

=(12s4+6s4+−4s4)+(−6s2+−s2)+(4s+−4s)+(27+−12)

=14s4+−7s2+15

Answer: =14s4−7s2+15

Hope this helps.

6 0

3 years ago

Estimating π. Using random numbers can accomplish many tasks. For example, it is possible to estimate π using Monte Carlo method

velikii [3]

Answer:

Estimations of π/4:

100 points: 0.75

1,000 points: 0.768

10,000 points: 0.7819

Step-by-step explanation:

To get an estimate of π/4 you can place random points in the square [0, 1] × [0, 1] and estimate it as the ratio of the points that landed inside the unit circle to the total number of points (because the ratio of the area of the circle to the area of the square is π/4).

We do it for 100 xy points and we get:

Point inside the circle area = 75

Estimation of π/4 = 0.75

$\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{75}{100}=0.75$

We do it for 1,000 xy points and we get:

Point inside the circle area = 768

Estimation of π/4 = 0.768

$\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{768}{1000}=0.768$

If we do it fo 10,000 xy points, we get

Point inside the circle area = 768

Estimation of π/4 = 0.768

$\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{7819}{10000}=0.7819$

The value of π/4 (4 decimals) is 0.7854.

The simulation gets more precise with the increase in the number of points.

The spreadsheet and the graphs are attached.

3 0

4 years ago

What’s the answer to the math problem? (3x+2)(2x2+x+3

sergey [27]

${6x}^{3} + {7x}^{2} + 11x + 6$
factor out the function

8 0

3 years ago

Intercept from a table

gladu [14]

$\bf \begin{array}{ccll} x&y\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \boxed{14}&\boxed{-5}\\ 21&-3\\ \boxed{28}&\boxed{-1} \end{array}\impliedby \textit{we'll use two points to get the slope}$

$\bf (\stackrel{x_1}{14}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{28}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-(-5)}{28-14}\implies \cfrac{-1+5}{28-14} \\\\\\ \cfrac{4}{14}\implies \cfrac{2}{7} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=\cfrac{2}{7}(x-14) \\\\\\ y+5=\cfrac{2}{7}x-4$

now, to get the y-intercept, we simply set x = 0 and solve for y, and to get the x-intercept, we set y = 0 and solve for x.

$\bf \stackrel{\textit{y-intercept, x = 0}}{y+5=\cfrac{2}{7}(0)-4}\implies y+5=-4\implies y=-9\qquad \qquad \stackrel{y-intercept}{(0~,-9)}\\\\ -------------------------------\\\\ \stackrel{\textit{x-intercept, y = 0}}{(0)+5=\cfrac{2}{7}x-4}\implies 5=\cfrac{2x}{7}-4\implies 9=\cfrac{2x}{7}\implies 63=2x \\\\\\ \cfrac{63}{2}=x\implies 31\frac{1}{2}=x\qquad \qquad \qquad \qquad \qquad \qquad \qquad \stackrel{x-intercept}{\left( 31\frac{1}{2}~,~0 \right)}$

8 0

3 years ago

Answer the following question regarding the table below.

mina [271]

The largest number is 59

5 0

3 years ago

Read 2 more answers