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melomori [17]
3 years ago
9

What is 14 hours in 2 weeks as a unit rate?

Mathematics
2 answers:
frosja888 [35]3 years ago
6 0
Seven hours in one week.
Ilia_Sergeevich [38]3 years ago
6 0

In one day 24 hours, in weeks 7 days, so in one week

7*24=168 hours.

In two weeks

168*2=336 hours

14 hours in unite rate is

\frac{14}{336} =\frac{7}{168}

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What is the equation of a line that is perpendicular to y=4x-5 and passes through (-4,6)
lozanna [386]

Answer:

y=-1/4x+5

Step-by-step explanation:

perpendicular lines have slopes that multiply to -1.

Our given line:

y=4x-5

the slope (m) in it is 4. To find the slope of the perpendicular line:

4m=-1

divide by 4

m=-1/4

the slope of the new line is -1/4

here's our equation so far:

y=-1/4x+b

Since the line will pass through the point (-4,6) we can use it to solve for b (y intercept)

so substitute (-4,6) into the equation

6=-1/4(-4)+b

6=1+b

5=b

the y intercept is 5

so our equation is:

y=-1/4x+5

hope this helps! :D

4 0
3 years ago
Find a vector function, r(t), that represents the curve of intersection of the two surfaces. the paraboloid z = 9x2 y2 and the p
dolphi86 [110]

The vector function is, r(t) =  \bold{ < t,2t^2,9t^2+4t^4 > }

Given two surfaces for which the vector function corresponding to the intersection of the two need to be found.

First surface is the paraboloid, z=9x^2+y^2

Second equation is of the parabolic cylinder, y=2x^2

Now to find the intersection of these surfaces, we change these equations into its parametrical representations.

Let x = t

Then, from the equation of parabolic cylinder,  y=2t^2.

Now substituting x and y into the equation of the paraboloid, we get,

z=9t^2+(2t^2)^2 = 9t^2+4t^4

Now the vector function, r(t) = <x, y, z>

So r(t) = \bold{ < t,2t^2,9t^2+4t^4 > }

Learn more about vector functions at brainly.com/question/28479805

#SPJ4

7 0
2 years ago
PLEASE HELP ME I NEED THIS ANSWER FOR ALGEBRA!
Marizza181 [45]

Answer:

radius  = 6.2

Step-by-step explanation:

so you already have the formula, which is

\sqrt[3]{ \frac{3v}{4\pi} }

the v represents Volume.

and 3v would be 3×volume.

\sqrt[3]{ \frac{3 \times 1000}{4 \times \pi} }

\sqrt[3]{ \frac{3000}{12.56637061} }

\sqrt[3]{238.7324147 }

= 6.20350491

to the nearest tenth place.

= 6.2

4 0
3 years ago
12433333666 *5ii888888888888888888888<br> 6
Neko [114]

Answer:

7.321852048×10³⁰

Step-by-step explanation:

5 0
3 years ago
The half-life of plutonium-241 is 14.4 years. How much of the original 3.6 grams of this
avanturin [10]

\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &3.6\\ t=\textit{elapsed time}\dotfill &45\\ h=\textit{half-life}\dotfill &14.4 \end{cases} \\\\\\ A=3.6\left( \frac{1}{2} \right)^{\frac{45}{14.4}}\implies A=3.6\left( \frac{1}{2} \right)^{3.125}\implies A\approx 0.41265

5 0
3 years ago
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