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kotykmax [81]
3 years ago
11

Factor completely 12a^3d^2 – 6ad^3

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

Answer:

12a^3d^2-6ad^3

To factor an integer, we need to divide it by the ascending sequence of primes 2, 3, 5

In the end, the number of times each prime divides the original integer becomes its exponent.

Prime number 2  to the power of 2 equals 4 .

Prime number 3 to the power of 1 equals 3 .

2^{2} \times 3\times a^{3} \times b^{2} -(2\times3)ad^{3}

Result:-  6ad^2\left(2a^2-d\right)

<u>  OAmalOHopeO</u>

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Plz help! will give 20 pnts ​
Flura [38]
A: 3√2 annnndddd B: 4.24
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2 years ago
Shawn is coasting down a 500 \text{ cm}500 cm500, space, c, m long ramp on his inline skates. The wheels on his inline skates ar
Nata [24]

Answer: 16 rotations

Step-by-step explanation:

Given : Shawn is coasting down a 500 cm long ramp on his inline skates. The wheels on his inline skates are 32 cm in circumference.

Length of ramp = 500 cm

Circumference of wheels = 32 cm

Formula :

Number of rotations = Length of ramp divided by Circumference of wheels

= 500 cm ÷ 32 cm

= 15.625 ≈ 16   [approx]

Therefore, each wheel makes 16 rotations while Shawn is coasting down the ramp.

5 0
3 years ago
Angles A and B are congruent m∠A= (5x+2)° and m∠B= (3x+ 8)° find the measurement of the angle B
charle [14.2K]
5x+2=3x+8 subtract 2 from both sides 5x=3x +6 subtract 3x from both sides 2x=6 divide by 2 x=3 now plug 3 into angle b to give you 17 degrees
8 0
3 years ago
plzz help me solve this question i need correct question i will mark you as a brainliest and I will give 5.0 rating anf thanks i
ddd [48]

Answer:

I. p = 7

II. 17 litres

Step-by-step explanation:

I. Determination of the value of p

Mean = 17.7

p =.?

Let the number of litre be L

Let the number of motorist be M

Mean = summation LM / summation M

Summation of LM = (16×11) + (17×10) + (18×p) + (19×4) + (20×8)

= 176 + 170 + 18p + 76 + 160

= 582 + 18p

summation M = 11 + 10 + P + 4 + 8

= 33 + p

Mean = summation LM / summation M

17.7 = 582 + 18p / 33 + p

Cross multiply

17.7(33 + p) = 582 + 18p

584.1 + 17.7p = 582 + 18p

Collect like terms

584.1 – 582 = 18p – 17.7p

2.1 = 0.3p

Divide both side by 0.3

p = 2.1 / 0.3

p = 7

II. Determination of the median number of litre.

Let the number of motorist be M (i.e the frequency)

summation M = 11 + 10 + P + 4 + 8

p = 7

summation M = 11 + 10 + 7 + 4 + 8

summation M = 40

The median is the middle term i.e

Median = (summation M / 2)ᵀʰ motorist

Median = (40 / 2)ᵀʰ motorist

Median = 20ᵀʰ motorist

Considering the table in the question above, the 20ᵀʰ motorist has 17 litres.

Therefore, the median number of litres is 17 litres.

8 0
3 years ago
19
Nata [24]

Answer:

\frac{1mile}{5,280ft} =\frac{7miles}{"x"feet}

Step-by-step explanation:

so there are 5,280 feet in 1 mile

We want to find the number of feet in 7 miles

if we were to set up a proportion it would look something like this :

\frac{1mile}{5,280ft} =\frac{7miles}{"x"feet}

5 0
2 years ago
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