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3 years ago

In order for terms to be like terms they must have?

2 answers:

7 0

They must have the same coefficient for example I can add: 2j + 5j= 7j but I can’t add 3j + 5l because j and l are not like terms .

tresset_1 [31]3 years ago

4 0

They must have the same variable with the same exponent. The coefficient doesn't matter much.

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Q3.

umka2103 [35]

Answer:

8.48%

Step-by-step explanation:

Bill's weight decreases from 64.8 kg to 59.3 kg.

We need to find the percentage decrease in Bill's weight. It can be calculated as follows :

$\%=\dfrac{64.8 -59.3 }{64.8 }\times 100\\\\=8.48\%$

So, the required decrease in percentage is 8.48%.

3 0

3 years ago

What is the distance from M(9,-4) to NC-1, -2)?

Ilia_Sergeevich [38]

Answer:

Exact Form: 2√26

Decimal Form: 10.19803902 …

Step-by-step explanation:

8 0

3 years ago

ABCD is a rectangle. The length of AC is 3x - 1. The length of BD is 2x + 5.

antoniya [11.8K]

Answer:

C.13

Step-by-step explanation:

3 0

3 years ago

The population of a city in 2000 was 500,000 while the population of the suburbs of that city in 2000 was 700,000. Suppose that

Mnenie [13.5K]

Answer:

The population of the city in 2002 is 469,280 while the population of the suburb is 730,720.

Step-by-step explanation:

6% of the city's population moves to the suburbs (and 94% stays in the city).
2% of the suburban population moves to the city (and 98% remains in the suburbs).

The migration matrix is given as:

$A= \left \begin{array}{cc} \\ C \\S \end{array} \right\left[ \begin{array}{cc} C&S\\ 0.94&0.06 \\0.02&0.98 \end{array} \right]$

The population in the year 2000 (initial state) is given as:

$\left[ \begin{array}{cc} C&S\\ 500,000&700,000 \end{array} \right]$

Therefore, the population of the city and the suburb in 2002 (two years after) is:

$S_0A^2=\left \begin{array}{cc} [500,000&700,000]\\& \end{array} \right\left \begin{array}{cc} \end{array} \right\left[ \begin{array}{cc} 0.94&0.06 \\0.02&0.98 \end{array} \right]^2$

$A^{2} = \left[ \begin{array}{cc} 0.8848 & 0.1152 \\\\ 0.0384 & 0.9616 \end{array} \right]$

Therefore:

$S_0A^2=\left \begin{array}{cc} [500,000&700,000]\\& \end{array} \right\left \begin{array}{cc} \end{array} \right \left[ \begin{array}{cc} 0.8848 & 0.1152 \\ 0.0384 & 0.9616 \end{array} \right]\\\\=\left[ \begin{array}{cc} 500,000*0.8848+700,000*0.0384& 500,000*0.1152 +700,000*0.9616 \end{array} \right]\\\\=\left[ \begin{array}{cc} 469280& 730720 \end{array} \right]$

Therefore, the population of the city in 2002 is 469,280 while the population of the suburb is 730,720.

6 0

3 years ago

In need of help plz <br> Find the ∠VXW and ∠XVW

My name is Ann [436]

Answer:

∠VXW = 57°

∠XVW = 56°

Step-by-step explanation:

Firstly, we need to remember the sum of a triangle's angle ALWAYS equals 180°.

Next, we see that two angles of △XYZ are given to us; 58° and 65°. Adding these two numbers would give us 123°. Now we need to subtract 123 from 180 to find the ∠YXZ; 180° - 123° = 57°.

Once we have this number, we need to remember a straight line also measures 180°. Line YW is important to find our answer, but first we need to find the answer to ∠WXZ. Since ∠YXZ and ∠WXZ come together and create the line YW, we can easily find the answer to ∠WXZ by subtracting ∠YXZ with 180; 180° - 57° = 123°

Now we need to find ∠VXW keeping the previous things I mentioned in mind; 180° - 123° = 57°. This is the answer to our first angle ∠VXW.

Since a triangle's angles always equal to 180° and we have the answer to two angles in △XVW, all we need to do is add then subtract;

67° + 57° = 124°

180° - 124° = 56°

And that is your answer!

∠VXW = 57°

∠XVW = 56°

4 0

3 years ago