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3 years ago

Determine the factor of x^2-12x-20

Mathematics

2 answers:

almond37 [142]3 years ago

7 0

there is no GCF and you can’t use the square root method so you must use the quadratic formlula

sveta [45]3 years ago

3 0

Answer:

The roots are: (12 + $\sqrt{224}$ )/2 and (12 - $\sqrt{224}$ )/2

Step-by-step explanation:

We can solve this with the quadratic formula! Plugging it all in, we get (12 +/- $\sqrt{144+80}$ )/2 This simplifies to (12 +/- $\sqrt{224}$ )/2. So the roots of our equation are (12 + $\sqrt{224}$ )/2 and (12 - $\sqrt{224}$ )/2.

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dexamethasone 4 mg/1 ml is available. the MD orders 6000 mcg. how much will the nurse give? (Round to the tenth)

aleksley [76]

Answer:

1.5 mL

Step-by-step explanation:

The abbreviation mcg stands for "microgram," or 10^-6 grams. The abbreviation mg stands for "milligram," or 10^-3 grams. The relationship between these is ...

1 mg = 1000 mcg

The order for 6000 mcg is an order for 6(1000 mcg) = 6(1 mg) = 6 mg. At 4 mg/mL, the quantity of dexamethasone required is ...

(6 mg)/(4 mg/mL) = (6/4) mL = 1.5 mL

The nurse will give 1.5 milliliters of dexamethasone.

4 0

1 year ago

Please answer this correctly.I have to finish this today as soon as possible

Zina [86]

Answer:

34:48

Step-by-step explanation:

adult:child

34:48

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3 years ago

Ty and his 3 brothers share a pizza equally. Which of these shows how much of the pizza Ty's brothers have?

Yuki888 [10]

Answer:

3/4

Step-by-step explanation:

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7 0

3 years ago

A sphere of radius r is cut by a plane h units above the equator, where

Anika [276]

Consider the top half of a sphere centered at the origin with radius $r$ , which can be described by the equation

$z=\sqrt{r^2-x^2-y^2}$

and consider a plane

$z=h$

with $0$ . Call the region between the two surfaces $R$ . The volume of $R$ is given by the triple integral

$\displaystyle\iiint_R\mathrm dV=\int_{-\sqrt{r^2-h^2}}^{\sqrt{r^2-h^2}}\int_{-\sqrt{r^2-h^2-x^2}}^{\sqrt{r^2-h^2-x^2}}\int_h^{\sqrt{r^2-x^2-y^2}}\mathrm dz\,\mathrm dy\,\mathrm dx$

Converting to polar coordinates will help make this computation easier. Set

$\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\var\phi\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi$

Now, the volume can be computed with the integral

$\displaystyle\iiint_R\mathrm dV=\int_0^{2\pi}\int_0^{\arctan\frac{\sqrt{r^2-h^2}}h}\int_{h\sec\varphi}^r\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta$

You should get

$\dfrac{2\pi}3\left(r^3\arctan\dfrac{\sqrt{r^2-h^2}}h-\dfrac{h^3}2\left(\dfrac{r\sqrt{r^2-h^2}}{h^2}+\ln\dfrac{r+\sqrt{r^2-h^2}}h\right)\right)$

5 0

3 years ago

Is 3/7 and 18/42 equivalent ratios

nignag [31]

Yes they are. if you multiply numerator and denominator of 3/7 by 6, you get 18/42

7 0

2 years ago

Read 2 more answers