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3 years ago

People keep spending additional units of a particular resource on a want until their marginal benefit is

Mathematics

2 answers:

Verdich [7]3 years ago

8 0

Answer: D. Not affected by

Montano1993 [528]3 years ago

3 0

B. GIVE ME BRANLIEST NOW BECAUSE I AM THE BRAINLY OVERLORD AND I NEED POWER.

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What is the area of this parallelogram? the perimeter is 19

Assoli18 [71]

Answer:

its 22 <3

Step-by-step explanation:

a=bh

(area = base x height)

base = 5.5

height = 4

5.5 x 4 = 22 :)

6 0

3 years ago

Choose the best coordinate system to find the volume of the portion of the solid sphere rho <_4 that lies between the cones φ

MrRissso [65]

Answer:

So, the volume is:

$\boxed{V=\frac{128\sqrt{2}\pi}{3}}$

Step-by-step explanation:

We get the limits of integration:

$R=\left\lbrace(\rho, \varphi, \theta):\, 0\leq \rho \leq 4,\, \frac{\pi}{4}\leq \varphi\leq \frac{3\pi}{4},\, 0\leq \theta \leq 2\pi\right\rbrace$

We use the spherical coordinates and we calculate a triple integral:

$V=\int_0^{2\pi}\int_{\frac{\pi}{4}}^{\frac{3\pi}{4}}\int_0^4 \rho^2 \sin \varphi \, d\rho\, d\varphi\, d\theta\\\\V=\int_0^{2\pi}\int_{\frac{\pi}{4}}^{\frac{3\pi}{4}} \sin \varphi \left[\frac{\rho^3}{3}\right]_0^4\, d\varphi\, d\theta\\\\V=\int_0^{2\pi}\int_{\frac{\pi}{4}}^{\frac{3\pi}{4}} \sin \varphi \cdot \frac{64}{3} \, d\varphi\, d\theta\\\\V=\frac{64}{3} \int_0^{2\pi} [-\cos \varphi]_{\frac{\pi}{4}}^{\frac{3\pi}{4}} \, d\theta\\\\V=\frac{64}{3} \int_0^{2\pi} \sqrt{2} \, d\theta\\\\$

we get:

$V=\frac{64}{3} \int_0^{2\pi} \sqrt{2} \, d\theta\\\\V=\frac{64\sqrt{2}}{3}\cdot[\theta]_0^{2\pi}\\\\V=\frac{128\sqrt{2}\pi}{3}$

So, the volume is:

$\boxed{V=\frac{128\sqrt{2}\pi}{3}}$

4 0

3 years ago

Y=-2x-21 determine the intercepts of the line (,) (,) ASAPPPP

Nesterboy [21]

Answer:

x intercept (10.5,0)

y intercept (0, -21)

Step-by-step explanation:

y=-2x-21

there are two intercept for a line

x intercept, the point of given equation of line which lies on x axis.

For x intercept corodinate of y is o

Thus, value x intercept is form (x,0)

putting these value in y=-2x-21, we find x intercept

0=-2x-21

2x = 21

x = 21/2 = 10.5

Thus, x intercept (10.5,0)

Y intercept, the point of given equation of line which lies on y axis.

For Y intercept coordinate of x is o

Thus, value y intercept is form (0,y)

putting these value in y=-2x-21, we find y intercept

y = -2*0 -21

y = -21

Thus, y intercept (0, -21)

5 0

3 years ago

there are 20 children in a class,and each student has 12 pencils and 3 dozen erasers how many dozen erasers are there in all

Molodets [167]

Answer:

720

Step-by-step explanation:

Heck that's a lot of erasers!!!

36 (erasers per child) x 20 (the number of children) = 720 (number of erasers)

Chow,...!

5 0

3 years ago

The weight of an object on a particular scale is 155.2 lbs. The measured weight may vary from the actual weight by at most 0.4 l

alexira [117]

155.2 + 0.4 = 155.6
155.2 - 0.4 = 154.8

so it ranges from : 154.8 to 155.6

5 0

3 years ago

Read 2 more answers