1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
melamori03 [73]
2 years ago
9

What is the slope of the line shown below? (Enter your answer as a decimal if nessecary)

Mathematics
1 answer:
Rufina [12.5K]2 years ago
8 0
-3/6 = -1/2 is the slope of the line.
You might be interested in
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n.
Vera_Pavlovna [14]

Split up the integration interval into 4 subintervals:

\left[0,\dfrac\pi8\right],\left[\dfrac\pi8,\dfrac\pi4\right],\left[\dfrac\pi4,\dfrac{3\pi}8\right],\left[\dfrac{3\pi}8,\dfrac\pi2\right]

The left and right endpoints of the i-th subinterval, respectively, are

\ell_i=\dfrac{i-1}4\left(\dfrac\pi2-0\right)=\dfrac{(i-1)\pi}8

r_i=\dfrac i4\left(\dfrac\pi2-0\right)=\dfrac{i\pi}8

for 1\le i\le4, and the respective midpoints are

m_i=\dfrac{\ell_i+r_i}2=\dfrac{(2i-1)\pi}8

  • Trapezoidal rule

We approximate the (signed) area under the curve over each subinterval by

T_i=\dfrac{f(\ell_i)+f(r_i)}2(\ell_i-r_i)

so that

\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4T_i\approx\boxed{3.038078}

  • Midpoint rule

We approximate the area for each subinterval by

M_i=f(m_i)(\ell_i-r_i)

so that

\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4M_i\approx\boxed{2.981137}

  • Simpson's rule

We first interpolate the integrand over each subinterval by a quadratic polynomial p_i(x), where

p_i(x)=f(\ell_i)\dfrac{(x-m_i)(x-r_i)}{(\ell_i-m_i)(\ell_i-r_i)}+f(m)\dfrac{(x-\ell_i)(x-r_i)}{(m_i-\ell_i)(m_i-r_i)}+f(r_i)\dfrac{(x-\ell_i)(x-m_i)}{(r_i-\ell_i)(r_i-m_i)}

so that

\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx

It so happens that the integral of p_i(x) reduces nicely to the form you're probably more familiar with,

S_i=\displaystyle\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx=\frac{r_i-\ell_i}6(f(\ell_i)+4f(m_i)+f(r_i))

Then the integral is approximately

\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4S_i\approx\boxed{3.000117}

Compare these to the actual value of the integral, 3. I've included plots of the approximations below.

3 0
3 years ago
PLEASE HELP!!!!! possible widths for a rectangular garden are 5 feet, 6 feet, and 7 feet. Leon wants the area of the garden to b
Nataliya [291]

Answer:

5

Step-by-step explanation:

3 0
3 years ago
Ian has 120 folders to file. So far, he has filed 36 of the folders. What percent of the folders does he have left to file?
balandron [24]
120-36 = 84 <==== what he has left

84/120×100% = percentage of what he has left
70% = percentage aka answer.
8 0
3 years ago
Read 2 more answers
THERE ARE 120 CHOCOLATES AND SOME BOXES. EACH BOX HOLDS 9 CHOCOLATES. WHAT IS THE LEAST AMOUNT OF BOXES THAT WILL BE NEEDED ?​
mojhsa [17]

Answer: 13

Step-by-step explanation:

first divide and then it comes out 13 then check your math so then it puts 120 its correct

8 0
2 years ago
6(x+1)=24 solution to equation
Vladimir79 [104]
6(x+1)=24
6x+6=24
6x=24-6
6x=18
6x/6=18/6
x=3
5 0
3 years ago
Other questions:
  • Geometry Proof - please help ASAP
    5·1 answer
  • Amy ate 7 candies out of a chocolate box. In other words she ate 28%of the candies. What is the total number of candies in the b
    8·2 answers
  • To practice for a competition, Sonya swam 0.94 kilometer in the pool each day for 3 weeks. How many meters did Sonya swim in tho
    13·1 answer
  • If f(x)= 6x+7, determine the value of f(-5)
    7·2 answers
  • AWARDING BRAINLIEST
    14·2 answers
  • How many times larger than 2 x 10-3 is 8 x 10?
    8·1 answer
  • A box of candy has 8 caramels and 17 nougats. If Jose randomly takes 1 piece and then another piece without replacement, what is
    7·1 answer
  • A six-sided die is rolled 150 times.
    10·2 answers
  • Which of the three curves drawn matches the graph of y = 2x 2 + x?
    6·1 answer
  • Look at the Stem-and-Leaf charts shown below. What is the lowest value?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!