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larisa [96]
3 years ago
9

4x^3 y(-2x^2 y) -8x 6 y-8x 5 y-8x 5 y 22x 5 y 2

Mathematics
1 answer:
masya89 [10]3 years ago
8 0

Answer:

\boxed{\bold{-8x^5y^2}}

Step By Step Explanation:

Remove Parenthesis: (a) = a

\bold{-4x^3y\cdot \:2x^2y}

Multiply: \bold{4 \ \cdot \ 2 \ = \ 8}

\bold{-8x^3x^2yy}

Apply Exponent Rule \bold{\:a^b\cdot \:a^c=a^{b+c}: \ x^3x^2=\:x^{3+2}=\:x^5}

\bold{-8x^5yy}

Apply Exponent Rule: \bold{yy=\:y^{1+1}=\:y^2}

\bold{-8x^5y^2}

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Find the missing number in the given proportion 3:2=6: ?​
Luba_88 [7]

Answer:

6 : 4

Step-by-step explanation:

3 : 2

6 : ?

3 × 2 : 2 ×2

6 : 4

6 0
3 years ago
A ship is anchored off a long straight shoreline that runs north and south. From two observation points 16 miles apart on shore,
ELEN [110]
D - the shortest distance from the ship to the shore.
d / ( 17 - x ) = tan 32° = 0.62487
d / x = tan 53° = 1.32704
d = 0.62487 ( 17 - x )
d = 1.32704 x
0.62487 ( 17 - x ) = 1.32704 x
10.62279 - 0.62487 x = 1.32704 x
x = 10.62279 : 1.95191
x = 5.44226 miles
d = 5.44226 · 1.32704
Answer:
d = 7.222  miles
6 0
3 years ago
You invest $3,756.00 and buy 100 shares of a company's stock. Their value increases by 12%. How much is each share worth?
Leto [7]
($3756/100)(100+12)/100

$37.56(1.12)

$42.0672

$42.07  (to nearest cent)


8 0
3 years ago
Read 2 more answers
The cooking compartment of a microwave oven measures 15 inches long, 14 inches wide, and 9 inches high. What is the volume of th
NemiM [27]
So,

All we have to do is multiply the dimensions given.
15 * 14 * 9 = 210 * 9 = 1890

The volume of the cooking compartment of the oven is 1890 in.³
4 0
3 years ago
A heap of grain is shaped as a cone ADCF with height 5 m and base radius 2 m, as shown on the diagram. A and C are points on the
hoa [83]

Answer:

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone ≈ 12.57 m²

Step-by-step explanation:

The given parameters are;

The height of the cone = 5 m

The base radius of the cone  = 2 m

The angle which the A\hat OC = 120°

Therefore, we have;

The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone

The angle between [CF]  and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°  

∴ The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone = 68.2°

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57

The area of the base of the cone ≈ 12.57 m².

8 0
3 years ago
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