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Tju [1.3M]
3 years ago
5

Expand (2x-5y)⁷ and find fourth form​

Mathematics
1 answer:
elena55 [62]3 years ago
3 0

Step-by-step explanation:

By binomial theorem,

T(r+1) = nCr * a^(r+1) * b^r

Term 4 = 7C3 * (2x)^4 * (-5y)^3 = 35 * (16x^4) * (-125y^3) = -70000x^4y^3.

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The mass of a freight train is 9.98 ⋅ 106 kilograms. The mass of an aircraft carrier is 7.3 ⋅ 107 kilograms. Approximately how m
shutvik [7]
Mass of freight train: 9.98 • 106
= 1057.88 kg
mass of aircraft carrier: 7.3 • 107
= 781.1 kg
difference: 1057.88 - 781.1
= 276.78 kg
= 2.7678 x 10^2
8 0
2 years ago
2 thousands + 12 hundreds = write sum in standard form
timofeeve [1]
2000+1200=3200=thirty two hundreds
6 0
3 years ago
Read 2 more answers
A rectangular yoga mat has a perimeter of 179 inches. The width of the mat is eight less than half the length. Find the width, i
lianna [129]

Answer:

The width is 24.5in

Step-by-step explanation:

The perimeter of the rectangular yoga mat can be found using the formula;

P=2l+2w.

\Rightarrow 179=2l+2w...(1).

It was given that the width of the mat is eight less than half the length.

w=\frac{1}{2}l-8...(2)

We put equation (2) into equation (1) to get;

179=2l+2(\frac{1}{2}l-8).

\Rightarrow 179=2l+l-16.

\Rightarrow 179+16=2l+l.

\Rightarrow 3l=195

Divide both sides by 3;

l=65

We put l=65 into equation 2 to get;

w=\frac{1}{2}\times65-8

w=32.5-8

w=24.5in

4 0
3 years ago
A right triangle has legs measuring 4.5 meters and 1.5 meters. The lenghts of the legs of a second triangle are proportional to
Eduardwww [97]
We know that
in the first triangle
the ratio of the legs are
4.5/1.5-----> 3

then
case <span>A) 6 m and 2 m ------> ratio=6/3----> 3
so
</span><span>the legs of a second triangle are proportional to the lengths of the legs of the first triangle

</span>case B) 8 m and 5 m ------> ratio=8/5---->1.6
so
the legs of a second triangle are not proportional to the lengths of the legs of the first triangle

case C) 7 m and 3.5 mm ------> ratio=7/3.5---->2
so
the legs of a second triangle are not proportional to the lengths of the legs of the first triangle


case D) 10 m and 2.5 m ------> ratio=10/2.5---->4
so
the legs of a second triangle are not proportional to the lengths of the legs of the first triangle

case E) 11.25 m and 3.75 m ------> ratio=11.25/3.75---->3
so
the legs of a second triangle are  proportional to the lengths of the legs of the first triangle

the answer is
A) 6 m and 2 m
E) 11.25 m and 3.75 m




4 0
3 years ago
57428799953 x 4635579813=???
nadya68 [22]

Answer:

2.66216x10^20

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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