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amid [387]
2 years ago
7

Which expression is equal to 75√ ? 75√25 355√ 75√5 4935√

Mathematics
1 answer:
Viefleur [7K]2 years ago
3 0
The expression that is equal is 72 or 4935
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At first public inquiry showed there were 637000 women motorcyclists in the US up from 437000 just 8 years ago before it. Find t
dimaraw [331]
I would say to do 637000-437000, which is 200000, and then do 200000/637000. You get 0.314, and the percentage of that in hundreds is 31%. 
6 0
3 years ago
Children gender. a certain couple is equally likely to have either a boy child or a girl child. if the family has four children,
rusak2 [61]
D. at least two girls
6 0
3 years ago
Identify the figure that portrays the translation of the given preimage as indicated by the direction arrow.
ladessa [460]

The parallelogram will translate along the arrow and reach the head of the arrow.

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In translation, the rotational motion is not present. Also, the translational motion is a one-dimensional motion.

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The arrow depicts the direction of the translational motion.

So, the parallelogram will reach the end of the arrow as shown in the picture present in the attachment.

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6 0
2 years ago
1.) Find the length of the arc of the graph x^4 = y^6 from x = 1 to x = 8.
xxTIMURxx [149]

First, rewrite the equation so that <em>y</em> is a function of <em>x</em> :

x^4 = y^6 \implies \left(x^4\right)^{1/6} = \left(y^6\right)^{1/6} \implies x^{4/6} = y^{6/6} \implies y = x^{2/3}

(If you were to plot the actual curve, you would have both y=x^{2/3} and y=-x^{2/3}, but one curve is a reflection of the other, so the arc length for 1 ≤ <em>x</em> ≤ 8 would be the same on both curves. It doesn't matter which "half-curve" you choose to work with.)

The arc length is then given by the definite integral,

\displaystyle \int_1^8 \sqrt{1 + \left(\frac{\mathrm dy}{\mathrm dx}\right)^2}\,\mathrm dx

We have

y = x^{2/3} \implies \dfrac{\mathrm dy}{\mathrm dx} = \dfrac23x^{-1/3} \implies \left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2 = \dfrac49x^{-2/3}

Then in the integral,

\displaystyle \int_1^8 \sqrt{1 + \frac49x^{-2/3}}\,\mathrm dx = \int_1^8 \sqrt{\frac49x^{-2/3}}\sqrt{\frac94x^{2/3}+1}\,\mathrm dx = \int_1^8 \frac23x^{-1/3} \sqrt{\frac94x^{2/3}+1}\,\mathrm dx

Substitute

u = \dfrac94x^{2/3}+1 \text{ and } \mathrm du = \dfrac{18}{12}x^{-1/3}\,\mathrm dx = \dfrac32x^{-1/3}\,\mathrm dx

This transforms the integral to

\displaystyle \frac49 \int_{13/4}^{10} \sqrt{u}\,\mathrm du

and computing it is trivial:

\displaystyle \frac49 \int_{13/4}^{10} u^{1/2} \,\mathrm du = \frac49\cdot\frac23 u^{3/2}\bigg|_{13/4}^{10} = \frac8{27} \left(10^{3/2} - \left(\frac{13}4\right)^{3/2}\right)

We can simplify this further to

\displaystyle \frac8{27} \left(10\sqrt{10} - \frac{13\sqrt{13}}8\right) = \boxed{\frac{80\sqrt{10}-13\sqrt{13}}{27}}

7 0
3 years ago
When the number k is multiplied by 5, the result is the same as when 5 is added to k. What is the value of k?
Bas_tet [7]
K=1.25 or 5/4
5k=k+5
-5k+k+5=0
-4K+5=0
-4K=-5
5/4=k
5 0
3 years ago
Read 2 more answers
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