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RSB [31]
3 years ago
9

Simplify (8.2 x 105) – (5.4 x 105) 2.8 x 1010 2.8 x 105 3.2 x 1010 3.2 x 105

Mathematics
2 answers:
oksian1 [2.3K]3 years ago
7 0

Answer:

start with multiplying the brackets

8.2×105= 861

5.4×105=567

the subtract

861-567= 294

answer =294

Furkat [3]3 years ago
5 0

Answer:

2.8×105

Step-by-step explanation:

(8.2 x 105) – (5.4 x 105)

=(861)-(567)

=294

•2.8×105=294

Therefore the answer is 2.8×105

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1 hour is 550 miles how many miles would 1 hour and 42 minutes be
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If D = Z + 6 and C = -2 + Z - Z^2, find an expression that equals 3D + C in standard form
kykrilka [37]

Answer:

4Z+16-Z²

Step-by-step explanation:

Given that,

D = Z+6

C = -2 + Z - Z²

We need to find the value of 3D+C.

So,

3D+C = 3(Z + 6)+(-2 + Z - Z²)

= 3Z+18-2+Z-Z²

= 4Z+16-Z²

So, the required expression is 4Z+16-Z².

6 0
3 years ago
Solving for matrices
muminat

Answer:

D

Step-by-step explanation:

The augmented matrix for the system of three equaitons is

\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\5&2&-2&|&11\\5&-4&4&|&-7\end{array}\right)

Multiply the first row by 5, the second row by -3 and add these two rows:

\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\5&-4&4&|&-7\end{array}\right)

Subtract the third row from the second:

\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&6&-6&|&18\end{array}\right)

Divide the third row by 6:

\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&1&-1&|&3\end{array}\right)

Now multiply  the third equation by 26 and add it to the second row:

\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&0&-45&|&-90\end{array}\right)

You get the system of three equations:

\left\{\begin{array}{r}3x-4y-5z=-27\\-26y-19z=-168\\-45z=-90\end{array}\right.

From the third equation

z=\dfrac{90}{45}=2.

Substitute z=2 into the second equation:

-26y-19\cdot 2=-168\\ \\-26y-38=-168\\ \\-26y=-168+38=-130\\ \\y=\dfrac{130}{26}=5.

Now substitute z=2 and y=5 into the first equation:

3x-4\cdot 5-5\cdot 2=-27\\ \\3x-20-10=-27\\ \\3x-30=-27\\ \\3x=-27+30=3\\ \\x=1.

The solution is (1,5,2)

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4.4: Measuring a Picture Frame
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