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3 years ago

Your teacher ask you to find a recipe that includes two ingredients with a ratio of 1/2 cup 1/8 cup

Mathematics

1 answer:

worty [1.4K]3 years ago

7 0

It appears the question is partially missing

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Then top two need a the slope found please and the other two have the directions

SCORPION-xisa [38]

Answer:

Step-by-step explanation:

Ok put it at the point (2, 3)

then from that point go up one and to the right two times then repeat

when you get to the top, go back to the point (2,3) and then from there go down one and to the left two times then repeat

Then the other one start at the point (1,-3)

then go down two from the point then move right 3

the start at the point again and move up 2 then 3 to the left

4 0

3 years ago

Use cylindrical coordinates. find the volume of the solid that is enclosed by the cone z = x2 + y2 and the sphere x2 + y2 + z2 =

sashaice [31]

Let $R$ be the solid. Then the volume is

$\displaystyle\iiint_R\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta$

which follows from the facts that

$\begin{cases}x=r\cos\theta\\y=r\sin\theta\\z=\zeta\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=r\,\mathrm dr\,\mathrm d\theta\,\mathrm d\zeta$
(by computing the Jacobian)

and

$z=x^2+y^2=r^2\implies z+z^2=72\implies z=-9\text{ or }z=8$
(we take the positive solution, since it's clear that $R$ lies above the $x$ - $y$ plane)
$r^2+z^2=72\implies z=\pm\sqrt{72-r^2}$
(again, taking the positive root for the same reason)
$z=r^2\implies 8=r^2\implies r=\sqrt8$

$\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}r(\sqrt{72-r^2}-r^2)\,\mathrm dr$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}(r\sqrt{72-r^2}-r^3)\,\mathrm dr$
$=\dfrac{32(27\sqrt2-35)\pi}3$

7 0

3 years ago

[|(x-4)÷(x+5)|]\leq[4]

Katena32 [7]

Answer:

Solutions are;

x = -8

x = -3.2

Step-by-step explanation:

Here, we want to solve the given equation for x

|(x-4)/(x + 5)| = 4

From what we have, this is an absolute value equation and thus, we are going to have two solutions

These are;

x-4/x+ 5 = 4

x-4 = 4(x + 5)

x-4 = 4x + 20

x-4x = 20 + 4

-3x = 24

x = -24/3

x = -8

secondly;

x-4/x+5 = -4

x-4 = -4(x + 5)

x-4 = -4x - 20

x + 4x = -20 + 4

5x = -16

x = -16/5

x = -3.2

3 0

3 years ago

What 2/5×3/7 but, once you get an answer make sure you simplified

vagabundo [1.1K]

Answer:

6/35

Step-by-step explanation:

$\frac{2}{5} *\frac{3}{7} =\frac{2*3}{5*7} =\frac{6}{35}$

3 0

3 years ago

What is a solution for 4a = 36?

ycow [4]

4a = 36

to solve for a, divide both sides by 4 to get a by itself.

4a = 36
 4 4

a = 9

8 0

3 years ago

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