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4 years ago

How do you graph h = 8 - 0.4j

1 answer:

5 0

Intercept is 8 and the slope is -.4 or -2/5 so after you plot the intercept at 8 go down two and right 5...connect the dots with a straight line...

why is your teacher using h and j as variables?

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What is the equation of the line that is perpendicular to

s344n2d4d5 [400]

Answer:

y= x-6

Step-by-step explanation:

5 0

3 years ago

If f(x) = 3x2 − 8x, 0 ≤ x ≤ 3, evaluate the Riemann sum with n = 6, taking the sample points to be right endpoints.

denis23 [38]

Split up the interval [0, 3] into 6 subintervals,

[0, 1/2], [1/2, 1], [1, 3/2], [3/2, 2], [2, 5/2], [5/2, 3]

The right endpoints are given by the arithmetic sequence,

$r_i=0+\dfrac i2=\dfrac i2$

with $1\le i\le6$ .

We approximate the integral of $f(x)$ on the interval [0, 3] by the Riemann sum,

$\displaystyle\int_0^3f(x)\,\mathrm dx=\sum_{i=1}^6f(r_i)\Delta x_i$

$\displaystyle=\frac{3-0}6\sum_{i=1}^6\left(3{r_i}^2-8r_i\right)$

$\displaystyle=\frac12\sum_{i=1}^6\left(\frac{3i^2}4-4i\right)$

$\displaystyle=\frac38\sum_{i=1}^6i^2-2\sum_{i=1}^6i$

Recall the formulas,

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$

Then the value of the integral is approximately

$\displaystyle=\frac38\cdot\frac{6\cdot7\cdot13}6-2\cdot\frac{6\cdot7}2=\boxed{-\frac{63}8}=-7.875$

Compare to the exact value of the integral, -9.

7 0

3 years ago

Find the unknown side length x.

Ganezh [65]

Answer:

x = $\sqrt{65}$

Step-by-step explanation:

The altitude of the triangle must equal 4 because it is a right triangle with another leg of 3 and a hypotenuse of 5 (reason is due to the pythagorean theorem)

Therefore, the triangle on the right has legs of 4 and 7 and, again, use the phythagorean theorem to find 'x' (the hypotenuse)

$4^{2}$ + $7^{2}$ = $x^{2}$

16 + 49 = $x^{2}$

65 = $x^{2}$

x = sq rt 65

6 0

3 years ago

ANSWER ?! <br><br> HELP.......

Anon25 [30]

26250m I think this is right

3 0

3 years ago

Read 2 more answers

Americans consume on average 92 pounds of chicken per year, with a standard deviation of 10.3 pounds. What is the probability th

prohojiy [21]

Answer:

0.2187

Step-by-step explanation:

Americans consume on average 92 pounds of chicken per year, with a standard deviation of 10.3 pounds. What is the probability that a sample of 50 people will have consumed an average of 100 pounds or more?

We to find

x ≥ 100 pounds

To solve for the above question, we use the z-score formula

z = (x-μ)/σ, where

x is the raw score = 100 pounds

μ is the population mean = 92 pounds

σ is the population standard deviation = 10.3

Hence:

z = (100 - 92)/ 10.3

z = 8/1.46

z = 0.7767

Probability value from Z-Table:

P(x<100) = 0.78133

P(x>100) = 1 - P(x<100) = 0.21867

Approximately = 0.2187

Therefore, the probability that a sample of 50 people will have consumed an average of 100 pounds or more is 0.2187

4 0

3 years ago