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2 years ago

13

Explain why 4/10 and 40/100 have unlike denominators but are equivalent fractions

1 answer:

marishachu [46]2 years ago

5 0

4/10 and 4/100 are the same because all you had to do was multiply both the numerator and denominator by 10. It is still the same amount. Hope this helps!

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Which answer is equal to the quotient in the expression below? (2x3 - x2) (x2)

serg [7]

(2x3 - x2) / (x2)

= 2x^3/x^2 - x^2/x^2

=2x - 1

answer

2x - 1

4 0

3 years ago

Integrate G(x,y,z)equalsz over the parabolic cylinder yequalszsquared, 0less than or equalsxless than or equals2, 0less than

yKpoI14uk [10]

I gather you're supposed to compute the integral of $G(x,y,z)=z$ over a surface $S$ that is the part of the parabolic cylinder $y=z^2$ with $0\le x\le2$ and $0\le z\le\frac{\sqrt{15}}2$ .

We can parameterize $S$ by

$\vec s(x,z)=x\,\vec\imath+z^2\,\vec\jmath+z\,\vec k$

with the given constraints on $x$ and $z$ . Take the normal vector to $S$ to be

$\vec s_x\times\vec s_z=-\vec\jmath+2z\,\vec k$

so that the surface element is

$\mathrm dS=\|\vec s_x\times\vec s_z\|\,\mathrm dx\,\mathrm dz=\sqrt{1+4z^2}\,\mathrm dx\,\mathrm dz$

Then in the integral, we have

$\displaystyle\iint_Sz\,\mathrm dS=\int_0^2\int_0^{\sqrt{15}/2}z\sqrt{1+4z^2}\,\mathrm dz\,\mathrm dx=\boxed{\frac{21}2}$

5 0

3 years ago

Using Triangle Similarity Theorems (6)

Fantom [35]

Answer:

DC = 3

Step-by-step explanation:

Based on triangle similarity theorem, we would have the following equation:

$\frac{AD}{AC} = \frac{AE}{AB}$

Plug in the values

$\frac{9}{9 + DC} = \frac{12}{12 + 4}$

$\frac{9}{9 + DC} = \frac{12}{16}$

$\frac{9}{9 + DC} = \frac{3}{4}$

Cross multiply

3(9 + DC) = 9×4

27 + 3DC = 36

Subtract 27 from each side

3DC = 36 - 27

3DC = 9

Divide both sides by 3

DC = 9/3

DC = 3

6 0

2 years ago

The cost of a type of educational toy is expressed as y = 3x + 2. Find the rate of change.

NNADVOKAT [17]

Answer:

3

Step-by-step explanation:

<em>Rate of Change </em>is the same as <em>Slope</em><em>.</em><em> </em>According to the Slope-Intercept Formula, <em>y</em><em> </em><em>=</em><em> </em><em>mx</em><em> </em><em>+</em><em> </em><em>b</em><em>,</em><em> </em><em>m</em><em> </em>is the <em>Rate</em><em> </em><em>of</em><em> </em><em> </em><em>Change</em><em> </em>[<em>Slope</em>].

I am joyous to assist you anytime.

6 0

2 years ago

Oscar enjoys many different sports. Today, Oscar jogged for 6 minutes, rode his bike for 23 minutes, and played tennis for 49 mi

Mrrafil [7]

Answer: 78

Step-by-step explanation:

just add the time all together then this will be your answer.

3 0

1 year ago