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2 years ago

Find the equation of the line that passes through the points (3,-2) and (-1,6) Explain

1 answer:

6 0

Equation: y = -2x + 4

Explanation: The reason that this would be the answer is because when the 2 points shown are put into graph form (as seen in the picture below) we can see that the slope of the equation is -2 and the y-intercept is 4. So, knowing this, we could fill in our slope-intercept form (y = mx + b) and there we have our equation.

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Find the work done by force dield f(x,y)=x^2i+ye^xj on a particle that moves along parabola x=y^2+1 from(1,0) to (2,1)

NemiM [27]

Call the parabola $P$ , parameterized by $\mathbf r(y)=\langle y^2+1,y\rangle$ with $0\le y\le 1\rangle$ . Then the work done by $\mathbf f(x,y)$ along $P$ is

$\displaystyle\int_P\mathbf f(x,y)\cdot\mathrm d\mathbf r=\int_{y=0}^{y=1}\mathbf f(x(y),y)\cdot\dfrac{\mathrm d\mathbf r(y)}{\mathrm dy}\,\mathrm dy$
$=\displaystyle\int_0^1\langle(y^2+1)^2,ye^{y^2+1}\rangle\cdot\langle2y,1\rangle\,\mathrm dy$
$=\displaystyle\int_0^1(2y^5+4y^3+2y+ye^{y^2+1})\,\mathrm dy=\frac73-\frac e2+\frac{e^2}2$

8 0

3 years ago

Use the simple interest formula to find the ending balance.

AlexFokin [52]

Answer:

$5,875

Step-by-step explanation:

Interest = Principal x Time x Interest Rate

Interest = $5000 x 3.5 x 0.05

Interest = $875

Total Balance will be

$5000 + $875

= $5,875

in 3.5 years

7 0

3 years ago

Please answer this correctly

suter [353]

Answer:

1 11/24 tablespoons

Step-by-step explanation:

$1+1+1\frac{1}{3} +1\frac{1}{3} +1\frac{2}{3} +1\frac{2}{3} +1\frac{2}{3} +2=\\\\2+2\frac{2}{3} +3\frac{6}{3} +2=\\\\9\frac{8}{3} =\\\\11\frac{2}{3}$

There were 8 mugs in total so:

$11\frac{2}{3}$ ÷ 8=

$11\frac{2}{3} *\frac{1}{8} =\\\\\frac{35}{3} *\frac{1}{8} =\\\\\frac{35}{24} =\\\\1\frac{11}{24}$

5 0

3 years ago

Ice cream sales and the number of shark attacks have a positive correlation. The conclusion that eating ice cream causes shark a

never [62]

I think the answer is d

3 0

2 years ago

Given below are lease terms at the local dealership. What is the total cash

Ludmilka [50]

Answer:

$2900

Step-by-step explanation:

• Length of lease = 36 months

• MSRP of the car = $22,750

• Purchase value of the car after lease = $16,900

• Down payment = $1800

• Monthly payment = $425

• Security deposit = $375

• Acquisition fee = $300

The amounts in bold above (last 4 lines) are usually due at signing. Usually there is also sales tax, but that is not mentioned here.

Total due at signing: $1800 + $425 + $375 + $300 = $2900

Answer: $2900

6 0

2 years ago