Please give me the correct answer.​

Answer: true

Step-by-step explanation:

For an m*n matrix, the column space of A will be a space formed by the lineal combination of all the columns of A.

column space = a1*c1 + a2*c2 + ...

where a1, a2, ... are scalars, and c1 is the vector of column 1.

Then we should write:

Column space = a1*(A₁₁, A₂₁, A₃₁, ...) + a2*(A₁₂, A₂₂, A₃₂, ...) + ...

Now, the transpose is defined as:

[At]₁₃ = A₃₁

Here i used the element with subindex 3 and 1, but is the same for every subindex.

Notice that if A is m*n, then [At] is n*m

Now, the row space of [At] will be, same as before.

Row space = b1*r1 + b2*r2 + ...

Where b1, b2, ... are scalars and the r's are the vector of each row.

                   = b1*( [At]₁₁ , [At]₁₂, [At]₁₃, ...) + b2*([At]₂₁, [At]₂₂, [At]₂₃, ...) + ...

Now we replace each term of the transpose by the associated element in the original matrix.

                   = b1*( A₁₁, A₂₁, A₃₁, ...) + b2*(A₂₁, A₂₂, ...) + ....

If we take:

b1 = a1, b2 = a2, b3 = a3, ...

We will have that the row space of [At] is the same as the column space of A.

Answer:11,356

Step-by-step explanation: that is the answer! I’m sure

Answer:11.355

Step-by-step explanation:

Answer: Therefore the scale factor is 48 times.

Step-by-step explanation: Since the drawing is in inches, the scale will be 1/4

the scale is 1 inch to 4 FEET.

Convert feet to inches

1 inch to 48 inches

So the ratio is 1:48

Answer:

This is a rational decimal and is not a repeating decimal.

Step-by-step explanation:

The correct format of the options are

(1) 6/8                    (6) 2/7

(2) 7/2                    (7) 1/8  

(3) 33[tex]\frac{4}{5}[/tex]                    (8) 4/5

(4) 41                      (9) 5/6

(5) 54[tex]\frac{1}{5}[/tex]                    (10) 1/5

Answer:

Reciprocal are those number which when multiplied by the original number gives 1 as the result. eg [tex]\frac{6}{8}[/tex] reciprocal is [tex]\frac{8}{6}[/tex], on multiplication [tex]\frac{6}{8}[/tex]*[tex]\frac{8}{6}[/tex] =1

Reciprocal of the following are as follows

(1) [tex]\frac{8}{6}[/tex]  

(2) [tex]\frac{2}{7}[/tex]

(3) 33[tex]\frac{4}{5}[/tex]  =[tex]\frac{ 33*5 + 4}{5}[/tex] = 169/5 =>  reciprocal = 5/169

(4) 1/41

(5)  54[tex]\frac{1}{5}[/tex] => [tex]\frac{54*5 +1}{5}[/tex] = 271/5 => 5/271

(6) 7/2

(7) 8

(8) 5/4

(9) 6/5

(10) 5

Answer:

157 divided by 2 is 78.5 round that to get 70

108 divided by 5 is 21.6 round that to get 22

Answer:

$560

Step-by-step explanation:

Since the family rents a cottage for 7 days, 79.95 dollars each day, we multiply 79.95 by 7 and get 559.65. Since the question asks about how much does the family pay, we round 559.65 to get $560.

Answer:0.27855153

A

−

0.04642525

kilograms per dollar

Step-by-step explanation:

Answer:

5.7 units

Step-by-step explanation:

The distance from point P to QS is the distance from point P (1, 1) to the point of interception R(-3, 5).

Use distance formula to calculate distance between P and R:

[tex] PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] P (1, 1) = (x_1, y_1) [/tex]

[tex] R(-3, 5) = (x_2, y_2) [/tex]

Plug in the values into the formula.

[tex] PR = \sqrt{(-3 - 1)^2 + (5 - 1)^2} [/tex]

[tex] PR = \sqrt{(-4)^2 + (4)^2} [/tex]

[tex] PR = \sqrt{16 + 16} [/tex]

[tex] PR = \sqrt{32} [/tex]

[tex] PR = 5.7 units [/tex] (to nearest tenth)

Answer:

no looks confusing

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

the answer would be in the y=m(m=slope of the line)x + b( the y intercept) so it works be

y=3x+-3

Answer:

Step-by-step explanation:

This is a fairly simple question. All we need to do is find the difference between the two amounts.

$94.30 - $76.50 = $17.80

Answer:

positive because two negatives make a positive and the answer is not positive.

The solution of the expression -2.7 + x =-3.5 is -0.8 and is negative.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is -2.7 + x= -3.5. The value of x will be calculated as,

-2.7 + x =-3.5

x = -3.5 + 2.7

x = -0.8

Therefore, the solution of the expression -2.7 + x =-3.5 is -0.8 and is negative.

To know more about an expression follow

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Answer:

The 1st one and the last one

Step-by-step explanation:

Answer:

8/7

Step-by-step explanation:

reciprocal is just the same number flipped

Answer:

8/7

Step-by-step explanation:

The reciprocal of a fraction is what you multiply with that fraction to get 1. Essentially, you flip the original fraction. The reciprocal of 7/8 is just flipping that to get 8/7. To check, 7/8 * 8/7 = 56/56 = 1

Answer:

It is option C.

Step-by-step explanation:

I did the test.

Answer:

it c

Step-by-step explanation:

i did the unit test hope this helps :)

Answer:

the first one i did it yesterday

Answer:

the answer is 62

Step-by-step explanation:

ok so all you do is add 22 instead of subtracting 22

Answer:

blahhfhdhdhhshshhdhdhdhdhdhshhshhshshdh

Answer:

I THINK 2

Step-by-step explanation:

Answer: (-3, 5) :  Quadrant 2

Answer:9 ft

Step-by-step explanation:

The requried measure of the AB is given as 7ft. Option B is correct.

In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.

Here,
From the diagram, applying Pythagoras' theorem to the right rectangle,
BC² = 15² - 12²
BC² = 81
BC = 9

Now,
AC = 16
AB + BC = 16
AB + 9 = 16
AB = 7 ft

Thus, the requried measure of the AB is given as 7ft. Option B is correct.

Learn  more about Pythagorean triplets here:

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Answer:

A and C

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero

Answer: The answer is 5. The denominator.

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

Starting Principal: $  

3,000.00

Years:    

3

Annual Interest Rate:    

8

%

Results

Future Value, using...

 Simple Interest: $  

3,720.00

 Annually Compounded Interest: $  

3,779.14

Answer:

length = 30 feet and width = 20 feet

Step-by-step explanation:

Let l is length and b is width of a rectangular yard. The area of a rectangle is given by :

A = lb ..(1)

A rectangular yard has a length that is 10 feet longer than the width.

length, l = 10+b ...(2)

ATQ,

Put the value of l in equation (1),

[tex](10+b)b=600\\\\10b+b^2=600\\\\b^2+10b-600=0\\\\b^2+30b-20b-600=0\\\\b(b+30)-20(b+30)=0\\\\(b+30)(b-20)=0\\\\b=-30\ \text{feet}\ \text{and}\ b=20\ \text{feet}[/tex]

Width can't be negative. The width is 20 feet.

Put the value of b is equation (2),

l = 10+20

l = 30 feet

Hence, the length and width are 30 feet and 20 feet.

Answer:

the constant is 15

Step-by-step explanation:

because it is constantly going up. the slope (15x) is what changes.