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3 years ago

What is the prime factorization of 36? 2 ²× 9 2 × 3² 2² × 3² 3 × 13

Mathematics

2 answers:

evablogger [386]3 years ago

4 0

Answer:

2 squared times 3 squared

Step-by-step explanation:

umka21 [38]3 years ago

4 0

Answer:

Answer:

2 squared times 3 squared

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Arnold skydives out of an airplane with a parachute. After he opened his parachute Arnold descended at 70feet per second. An obs

vivado [14]

Answer:

Arnold descended a distance of 5,250 ft after his parachute opened

Step-by-step explanation:

Here in this question, we want to know the distance Arnold descended after his parachute opened.

Mathematically, we know that distance = speed * time

In this case;

The speed is the rate at which he descended = 70 ft per second

Now the time is 1 minute and 15 seconds; since 1 minute is 60 seconds, then 1 minute and 15 seconds is 60 + 15 = 75 seconds

So what we are saying is he descended at a rate of 70 ft per second for 75 seconds

Thus, his distance of descent will be 70 ft per second * 75 seconds = 5,250 ft

4 0

2 years ago

Read 2 more answers

Write the equation -4x^2+9y^2+32x+36y-64=0 in standard form. Please show me each step of the process!

IgorC [24]

Hey there, hope I can help!

$-4x^2+9y^2+32x+36y-64=0$

$\mathrm{Add\:}64\mathrm{\:to\:both\:sides} \ \textgreater \ 9y^2+32x+36y-4x^2=64$

$\mathrm{Factor\:out\:coefficient\:of\:square\:terms} \ \textgreater \ -4\left(x^2-8x\right)+9\left(y^2+4y\right)=64$

$\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}4$
$-\left(x^2-8x\right)+\frac{9}{4}\left(y^2+4y\right)=16$

$\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}9$
$-\frac{1}{9}\left(x^2-8x\right)+\frac{1}{4}\left(y^2+4y\right)=\frac{16}{9}$

$\mathrm{Convert}\:x\:\mathrm{to\:square\:form}$
$-\frac{1}{9}\left(x^2-8x+16\right)+\frac{1}{4}\left(y^2+4y\right)=\frac{16}{9}-\frac{1}{9}\left(16\right)$

$\mathrm{Convert\:to\:square\:form}$
$-\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y^2+4y\right)=\frac{16}{9}-\frac{1}{9}\left(16\right)$

$\mathrm{Convert}\:y\:\mathrm{to\:square\:form}$
$-\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y^2+4y+4\right)=\frac{16}{9}-\frac{1}{9}\left(16\right)+\frac{1}{4}\left(4\right)$

$\mathrm{Convert\:to\:square\:form}$
$-\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y+2\right)^2=\frac{16}{9}-\frac{1}{9}\left(16\right)+\frac{1}{4}\left(4\right)$

$\mathrm{Refine\:}\frac{16}{9}-\frac{1}{9}\left(16\right)+\frac{1}{4}\left(4\right) \ \textgreater \ -\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y+2\right)^2=1$

$Refine\;once\;more\;-\frac{\left(x-4\right)^2}{9}+\frac{\left(y+2\right)^2}{4}=1$

For me I used
$\frac{\left(y-k\right)^2}{a^2}-\frac{\left(x-h\right)^2}{b^2}= 1$
$As\;\mathrm{it\;\:is\:the\:standard\:equation\:for\:an\:up-down\:facing\:hyperbola}$

I know yours is an equation which is why I did not go any further because this is the standard form you are looking for. I would rewrite mine to get my hyperbola standard form. However the one I have provided is the form you need where mine would be.
$\frac{\left(y-\left(-2\right)\right)^2}{2^2}-\frac{\left(x-4\right)^2}{3^2}=1$

Hope this helps!

4 0

3 years ago

2(3-8y)= Apply the distributive property to create an equivalent expression.

umka2103 [35]

Answer:

$6-16y$

Step-by-step explanation:

$2(3-8y)\\\\\boxed{6-16y}\\\\\\\left \{ {{2*3=6} \atop {2*-8y=-16y}} \right.$

Hope this helps.

4 0

2 years ago

Read 2 more answers

What is the exponential regression equation for the data set?

Ne4ueva [31]

Answer:

Exponential Regression. An exponential regression is the process of finding the equation of the exponential function that fits best for a set of data. As a result, we get an equation of the form y=abx where a≠0 .

Step-by-step explanation:

6 0

3 years ago

Play a video game that takes 5 minutes and make at least 12 shots that will result in 200 Virtual Coins per shot. If in one hour

maw [93]

28,000 Virtual coins.

1,728 shots.

7 0

3 years ago