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2 years ago

Solve for x: 3(x + 5) + x =7

Mathematics

2 answers:

WARRIOR [948]2 years ago

6 0

Answer:

x=-2

Step-by-step explanation:

Kay [80]2 years ago

5 0

Answer:

x = -2

Step-by-step explanation:

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What is the equation of the line containing the points (3,1), (9,3) and (27,9)

aleksley [76]

Answer:

y = (1/3)x

Step-by-step explanation:

If this is truly a line, then we can find its equation using any two of the three given points. If we go from (3, 1) to (27, 9), x increases by 24 and y increases by 8. Thus, the slope of this line is m = rise / run = 8 / 24, or m = 1/3.

Using the point (3, 1) and the slope m = 1/3, the slope-intercept form y = mx + b becomes 1 = (1/3)(3) + b. Thus, b = 0, and the line is y = (1/3)x.

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3 years ago

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Use polar coordinates to find the volume of the given solid. bounded by the paraboloid z = 5 + 2x2 + 2y2 and the plane z = 11 in

podryga [215]

Using cylindrical coordinates,

$\displaystyle\int_{x=0}^{x=\sqrt3}\int_{y=0}^{y=\sqrt{3-x^2}}\int_{z=5+2x^2+2y^2}^{z=11}\mathrm dz\,\mathrm dy\,\mathrm dx$
$\displaystyle=\int_{\theta=0}^{\theta=\pi/2}\int_{r=0}^{r=\sqrt3}\int_{z=5+2r^2}^{z=11}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\frac\pi2\int_{r=0}^{r=\sqrt3}r(11-(5+2r^2))\,\mathrm dr$
$=\displaystyle\pi\int_{r=0}^{r=\sqrt3}(3r-r^3)\,\mathrm dr$
$=\dfrac{9\pi}4$

3 0

3 years ago

Find the probability of throwing a sum of 4 at least 6 times in 9 throws of a pair of fair dice.

lora16 [44]

4/6 with 2 throws left i think.

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3 years ago

Steven, a tailor, got an order to make a blazer. The customer specifically asked him to save 5⁄6 of a foot of the given cloth to

xz_007 [3.2K]

To answer this question, we just need to subtract the saved cloth from the requested cloth:

$\frac{5}{6} - \frac{5}{12}$

Since the fractions don't have the same denominator, we have to find the least common denominator. Luckily, since 6 goes into 12 twice, we can convert $\frac{5}{6}$ into $\frac{10}{12}$ :

$\frac{5}{6}( \frac{2}{2}) - \frac{5}{12} = \frac{10}{12} - \frac{5}{12}$

Now that the fractions have a common denominator, we can subtract them:

$\frac{10}{12} - \frac{5}{12} = \frac{5}{12}$

The difference between the requested cloth and the saved cloth is 5/12 of a foot, or 0.4166'.

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3 years ago

Emma borrows $2,500 from her bank to buy a used car. The loan has a 5.4% annual simple interest rate. If it takes Emma 9 months

CaHeK987 [17]

Answer:

$292.78

Step-by-step explanation:

Add the annual interest to the loan. Then divide the total by 9 to get the monthly cost.

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3 years ago

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