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Elena L [17]
1 year ago
15

Determine if the statement is true or false:

Mathematics
1 answer:
erma4kov [3.2K]1 year ago
8 0

Answer:

Step-by-step explanation:

given are four statements and we have to find whether true or false.

.1 If two matrices are equivalent, then one can be transformed into the other with a sequence of elementary row operations.

True  

2.Different sequences of row operations can lead to different echelon forms for the same matrix.

True in whatever way we do the reduced form would be equivalent matrices

3.Different sequences of row operations can lead to different reduced echelon forms for the same matrix.

False the resulting matrices would be equivalent.

4.If a linear system has four equations and seven variables, then it must have infinitely many solutions.

True, because variables are more than equations.  So parametric solutions infinite only is possible

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yan [13]

Answer:

33%

Step-by-step explanation:

3 0
1 year ago
Tony addison obtained a 20-year, $45,000 mortgage loan from united savings with an interest rate of 8.5%. his monthly payment is
Anna007 [38]

As given,  

Loan amount is = $45000

Rate of interest = 8.5%

So, Tony's mortgage will attract an interest of:

45000\times\frac{8.5}{100} = $3825  (this is yearly)

And for 1st month it will be = \frac{3825}{12}=  $318.75  

As given, the first month's payment is $390.60 and this covers the interest Additional amount ($390.60 - $318.75 = $71.85) is a payment against the principle.

Hence, the new principle after the 1st month is $71.85 less than $45000

= 45000-71.85 = $44928.15

Hence, the last option $44928.15 is the correct answer.

4 0
1 year ago
The diagram shows some land in the shape of a quadrilateral ABCD. AB = 6 km, AD = 5 km and CD = 12 km Angle BAC = 30 The land is
Goshia [24]

Answer:

£495 million

Step-by-step explanation:

To find out the total cost of the land, we need to first calculate the area of the land.

Step 1: Find area of right angled triangle ADC

AD = 5 km,

DC = 12 km

Area of the right triangle = ½*a*b

a = 5km

b = 12km

Area = ½*5*12

= 5*6

Area of ADC = 30 km²

Step 2: Find the area of triangle ABC

First, let's find the length of AC using Pythagorean theorem

AC² = AD² + DC²

AC² = 5² + 12² = 25 + 144

AC = √169

AC = 13km

Area of ∆ABC = ½*AB*AC*sin(30°)

= ½*6*13*0.5

= 3*13*0.5

Area of ∆ABC = 19.5 km²

Total area of the land = area of ∆ADC + ∆ABC = 30 + 19.5 = 49.5 km²

Step 3: calculate how much the land costs

If the land costs £10 million per km²,

Cost of 49.5 km² = 49.5 × 10 = £495 million

4 0
2 years ago
Express 3.222......in p/q form​
beks73 [17]

Answer:

3.22222......  = \frac{29}{9}

Step-by-step explanation:

In this question we have to convert the number given in recurrent decimals into fraction.

Recurrent decimal number is 3.22222.......

Let x = 3.2222.........   -------(1)

Multiply this expression by 10.

10x = 32.2222........... -------(2)

Now subtract the expression (1) from (2),

10x = 32.22222.....

<u>    x = 3.22222.......</u>

9x = 29

x = \frac{29}{9}

Therefore, recurrent decimal number can be written as \frac{29}{9} which is in the form of \frac{p}{q}.

6 0
2 years ago
Will give Brainliest. Hannah does push-ups in sets of 3. She did 10 sets of pushups today. Then her coach asked her to do 15 mor
Ilya [14]

Answer:

the answer is 45

Step-by-step explanation:

3 0
1 year ago
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