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3 years ago

6

Simplify:

2 answers:

Alecsey [184]3 years ago

7 0

Answer:

The expression √576/64 in simplest form is 3

miv72 [106K]3 years ago

6 0

$576 = {2}^{6} \times {3}^{2} \\ \\$
$64 = {2}^{6}$

good luck

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Using the number line below to compare the list of numbers. Place the numbers in increasing order.

Ivanshal [37]

Answer:

-2/5

-1.5

.3

1 4/5

Step-by-step explanation:

The higher the negatice number, the lower it is. Hope this helps:)

4 0

2 years ago

If f(x) varies directly with x and f(x) = 4 when x = 12, then what is the value of f(x) when x = 60?

ANTONII [103]

ANSWER

$f(60)=3\times60=180$

EXPLANATION
We were given that
$f(x)$
varies directly as
$x.$

We can write this mathematically as,

$f(x) \propto \: x.$

This implies that,

$f(x) = kx$
where k is the constant of variation.

$f(4)=4k$

This implies that,

$4k=12$

$k = 3$

The equation becomes

$f(x)=3x$

When $x=60$

$f(60)=3\times60=180$

6 0

3 years ago

Write the following equation in slope -intercept form : y - 3 = 4(x + 2)

andreyandreev [35.5K]

Answer:

y=4x+11

Step-by-step explanation:

multiply 4 into the parentheses to get y-3=4x+8 then invert -3 so add three to both sides to get rid of it so instead of +8 its +11 so now its y=4x+11 and slope intercept is y=mx+b, so 4 is m, slope, and 11 is b, the y intercept i hope that helps

7 0

3 years ago

Look at this cone:<br><br>,,

Assoli18 [71]

Slant height=l=3ft
Radius=r=2ft

We know

$\boxed{\sf \star TSA_{(Cone)}=\pi r(r+\ell)}$

$\\ \sf\longmapsto TSA_{(Old\:Cone)}=2 \dfrac{22}{7}\times 2(2+3)$

$\\ \sf\longmapsto TSA_{(Old\:Cone)}=\dfrac{44}{7}(5)$

$\\ \sf\longmapsto TSA_{(Old\:Cone)}=\dfrac{220}{7}$

$\\ \sf\longmapsto TSA_{(Old\:Cone)}=31.4ft^2$

Now

New slant height =2(3)=6cm
New radius=2(2)=4cm

$\\ \sf\longmapsto TSA_{(New\:Cone)}=\dfrac{22}{7}\times 4(4+6)$

$\\ \sf\longmapsto TSA_{(New\:Cone)}=\dfrac{88}{7}(10)$

$\\ \sf\longmapsto TSA_{(New\:Cone)}=\dfrac{880}{7}$

$\\ \sf\longmapsto TSA_{(New\:Cone)}=125.7cm^2$

So

$\\ \sf\longmapsto \dfrac{TSA_{(New\:Cone)}}{TSA_{(Old\:Cone)}}=\dfrac{125.7}{31.4}$

$\\ \sf\longmapsto \dfrac{TSA_{(New\:Cone)}}{TSA_{(Old\:Cone)}}=\dfrac{4}{1}$

$\\ \sf\longmapsto\underline{\boxed{\bf{ {TSA_{(New\:Cone)}}:{TSA_{(Old\:Cone)}}=4:1}}}$

7 0

3 years ago

Simplify (6x^-2)^2(0.5x)^4 show work please

tester [92]

(6x^-2)^2(0.5x)^4 = (6^2)(x^-2(2))(1/2)^4(x^4) = 36x^-4(1/16x^4) = (36/16)x^(-4+4) = 9/4

4 0

3 years ago

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