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galben [10]
3 years ago
7

Simplify. a2 · a5 a3 A) a3 B) a4 C) a7 D) a10

Mathematics
2 answers:
vlabodo [156]3 years ago
7 0

Answer:

its B , a4 i jus took the test & got a 100 .

Step-by-step explanation:

castortr0y [4]3 years ago
5 0

a^{10}, that is D

when multiplying like variables add the exponents

= a^{2+3+5} = a^{10}


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Find the volume of the solid under the plane 5x + 9y − z = 0 and above the region bounded by y = x and y = x4.
svp [43]
<span>For the plane, we have z = 5x + 9y

For the region, we first find its boundary curves' points of intersection.
x = x^4 ==> x = 0, 1.

Since x > x^4 for y in [0, 1],

The volume of the solid equals

\int\limits^1_0 { \int\limits_{x^4}^x {(5x+9y)} \, dy } \, dx = \int\limits^1_0 {\left[5xy+ \frac{9}{2} y^2\right]_{x^4}^{x}} \, dx  \\  \\ =\int\limits^1_0 {\left[\left(5x(x)+ \frac{9}{2} (x)^2\right)-\left(5x(x^4)+ \frac{9}{2} (x^4)^2\right)\right]} \, dx  \\  \\ =\int\limits^1_0 {\left(5x^2+ \frac{9}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx =\int\limits^1_0 {\left( \frac{19}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx \\  \\ =\left[ \frac{19}{6} x^3- \frac{5}{6} x^6- \frac{1}{2} x^9\right]^1_0

=\frac{19}{6} - \frac{5}{6} - \frac{1}{2} =\bold{ \frac{11}{6} \ cubic \ units}</span>
8 0
3 years ago
John Cena buys a new pair of DC shoes every month to wrestle. (Each pair costs $58.99)
Lerok [7]

Answer:

A. $707. 88

B. $12,033.96

Step-by-step explanation:

A. 58.99 × 12 = 707.88

B. 707.88 × 17 = 12,033.96

Hope this helps!

6 0
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Ainat [17]

Answer:

Mixed fraction = whole × denominator + numerator.

this formula converts mixed to improper fraction.

So, 1 × 3 + 1 = 4 is numerator.

Denominator is 3 which is same.

So, answer is

A. \frac{4}{3}

<h3><em>Plz </em><em>mrk</em><em> me</em><em> brainliest</em><em>.</em></h3>
3 0
3 years ago
The distance between the points (7,2) and (7 –9)
Angelina_Jolie [31]
The distance between both points is 11
6 0
3 years ago
Write the equation of a line that is parallel to {y=0.6x+3}y=0.6x+3y, equals, 0, point, 6, x, plus, 3 and that passes through th
Dominik [7]

y = 0.6x - 3.2  
The general form of the desired equation is 
y = mx + b
 where
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 b = y intercept of the line 
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given line "y = 0.6x +3" is 0.6, that will also be the slope of the desired line.
So our equation becomes:
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 y = 0.6x + b
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 -5 = -1.8 + b
 -3.2 = b 
 So the desired equation is now 
y = 0.6x - 3.2
3 0
3 years ago
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