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3 years ago

7

If 14 of every 32 students attending college are female, and the total number of students at the school is 4,064, how many of th

e students are female.

1 answer:

Svetach [21]3 years ago

7 0

Pretty sure it's 1,778 because 4,064 divided by 32 gives you 127 and 127 times 14 gives you back 1,778

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Please help i need it !!!

Sedbober [7]

Answer:

x=7

Step-by-step explanation:

3 0

3 years ago

Find the laplace transform of f(t) = cosh kt = (e kt + e −kt)/2

iren2701 [21]

Hello there, hope I can help!

I assume you mean $L\left\{\frac{ekt+e-kt}{2}\right\}$
With that, let's begin

$\frac{ekt+e-kt}{2}=\frac{ekt}{2}+\frac{e}{2}-\frac{kt}{2} \ \textgreater \ L\left\{\frac{ekt}{2}-\frac{kt}{2}+\frac{e}{2}\right\}$

$\mathrm{Use\:the\:linearity\:property\:of\:Laplace\:Transform}$
$\mathrm{For\:functions\:}f\left(t\right),\:g\left(t\right)\mathrm{\:and\:constants\:}a,\:b$
$L\left\{a\cdot f\left(t\right)+b\cdot g\left(t\right)\right\}=a\cdot L\left\{f\left(t\right)\right\}+b\cdot L\left\{g\left(t\right)\right\}$
$\frac{ek}{2}L\left\{t\right\}+L\left\{\frac{e}{2}\right\}-\frac{k}{2}L\left\{t\right\}$

$L\left\{t\right\} \ \textgreater \ \mathrm{Use\:Laplace\:Transform\:table}: \:L\left\{t\right\}=\frac{1}{s^2} \ \textgreater \ L\left\{t\right\}=\frac{1}{s^2}$

$L\left\{\frac{e}{2}\right\} \ \textgreater \ \mathrm{Use\:Laplace\:Transform\:table}: \:L\left\{a\right\}=\frac{a}{s} \ \textgreater \ L\left\{\frac{e}{2}\right\}=\frac{\frac{e}{2}}{s} \ \textgreater \ \frac{e}{2s}$

$\frac{ek}{2}\cdot \frac{1}{s^2}+\frac{e}{2s}-\frac{k}{2}\cdot \frac{1}{s^2}$

$\frac{ek}{2}\cdot \frac{1}{s^2} \ \textgreater \ \mathrm{Multiply\:fractions}: \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d} \ \textgreater \ \frac{ek\cdot \:1}{2s^2} \ \textgreater \ \mathrm{Apply\:rule}\:1\cdot \:a=a$
$\frac{ek}{2s^2}$

$\frac{k}{2}\cdot \frac{1}{s^2} \ \textgreater \ \mathrm{Multiply\:fractions}: \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d} \ \textgreater \ \frac{k\cdot \:1}{2s^2} \ \textgreater \ \mathrm{Apply\:rule}\:1\cdot \:a=a$
$\frac{k}{2s^2}$

$\frac{ek}{2s^2}+\frac{e}{2s}-\frac{k}{2s^2}$

Hope this helps!

3 0

3 years ago

You have a map of an area in France. The scale used is 2cm:8km. You want to ride to a national park. The park is shown on the ma

antiseptic1488 [7]

Every cm on the map = 8/2 = 4 km

so 16 cm is equivalent to 4*16 = 64 km Answer

3 0

3 years ago

Read 2 more answers

Gene's frying pan is 13.5 inches in diameter. What is the circumference of his frying pan?

STALIN [3.7K]

To work out the circumference of a circle, you should use 2πr or πd (r being radius and d being diameter)
So
Circumference = 13.5 x π = 27/2 π = 42.41 inches

5 0

3 years ago

What is the range of 1/2 1/8 1/2 5/8 1/4 1/4 1/2 3/4 1/8 5/8 1/4 1/2

Inessa [10]

Answer:

5/8

Step-by-step explanation:

Range = max-min

maximum of the numbers given is 3/4

minimum of the numbers given is 1/8

3/4 is equivalent to 6/8

range=6/8-1/8=5/8

3 0

3 years ago