Write the augmented matrix for each system of equations.

-2x - 2y + 5z = 1
-5x - 5y + 7z = 4
9x - 2y + 2z = -1

Answer:

x= 4

m∠KJL= 22

M∠KJM= 44

Step-by-step explanation:

i dont think u need explanation

Answer: 15a – 12b – 5.

Step-by-step explanation: To solve this equation, we need to distribute the constants in front of the parentheses. Doing so, we get:

-3 + 4(a – 3b + 2) – 5(2 – a + 3b)

= -3 + 4a – 12b + 8 – 10 + 15a – 15b

= (15a – 12b) + (-10 + 8) – 3

= 15a – 12b + -2 – 3

= 15a – 12b – 5

Thus, the solution to the equation is 15a – 12b – 5.

Answer:

Step-by-step explanation:

An explanatory variable is what you manipulate or observe changes in  while a response variable is what changes as a result (e.g., reaction times). The words “explanatory variable” and “response variable” are often interchangeable with other terms used in research.

Answer:

-2 is the answer of your question

hope it is helpful to you

Answer:

58.61%

Step-by-step explanation:

Your total backyard is 18ft * 9ft = 162 ft^2

Your patio is 5ft * 8ft = 40 ft^2

Your Garden is 4ft * 7ft = 28 ft^2

Your walkway is 3ft * 9ft = 27 ft^2

Add all those areas together you have 95 ft^2

95 of 162 = 58.61%

Answer:

Basically asking you which two numbers multiplied together is 20. Keep in mind this is a triangle so you'll need to divide the product by 2. In this case, it would be C.4 and 10

4 time 10 is 40

40/2 = 20

Step-by-step explanation:

Answer:

The probability that it will choose food #2 on the second trial after the initial trial = 0.3125

Step-by-step explanation:

Given - A lab animal may eat any one of three foods each day. Laboratory records show that if the animal chooses one food on one trial, it will choose the same food on the next trial with a probability of 50%, and it will choose the other foods on the next trial with equal probabilities of 25%.

To find - If the animal chooses food #1 on an initial trial, what is the probability that it will choose food #2 on the second trial after the initial trial?

Proof -

By the given information, we get the stohastic matrix

[tex]H = \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right][/tex]

As we know that,

The matrix is a Markov chain [tex]x_{k+1} = Hx_{k}[/tex]

Let

The initial state vector be

[tex]x_{0} = \left[\begin{array}{ccc}1\\0\\0\end{array}\right][/tex]

we choose this initial vector because given that If the animal chooses food #1 on an initial trial.

Now,

[tex]x_{1} = Hx_{0} \\ = \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]\left[\begin{array}{ccc}1\\0\\0\end{array}\right] \\= \left[\begin{array}{ccc}0.5\\0.25\\0.25\end{array}\right][/tex]

∴ we get

[tex]x_{1} = \left[\begin{array}{ccc}0.5\\0.25\\0.25\end{array}\right][/tex]

Now,

[tex]x_{2} = Hx_{1} \\ = \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]\left[\begin{array}{ccc}0.5\\0.25\\0.25\end{array}\right] \\= \left[\begin{array}{ccc}0.25+0.0625+0.0625\\0.125+0.125+0.0625\\0.125+0.0625+0.125\end{array}\right]\\= \left[\begin{array}{ccc}0.375\\0.3125\\0.3125\end{array}\right][/tex]

∴ we get

[tex]x_{2} = \left[\begin{array}{ccc}0.375\\0.3125\\0.3125\end{array}\right][/tex]

∴ we get

The probability that it will choose food #2 on the second trial after the initial trial = 0.3125

Answer:

Natasha is 12 years ils and Maurice is 7 years old

Step-by-step explanation:

lets say that Maurice is 7 years old.

âgé of Natacha: +5 years ils than maurice

7+5=12

Answer:

3/4

Step-by-step explanation:

divide 75 by 100

Answer:

22.38 mph

Step-by-step explanation:

6km=3.73 miles

3.73m in 10 min

10*6 =60 minutes = 1 hour

3.73*6 = 22.38

22.38 miles per hour

Answer: 3.50

Step-by-step explanation:

Answer:

A) JK and AB =

[tex][tex] \boxed{( \theta) = \f{12}{( \theta)} }[/tex] So, =》 [tex] \dfrac{10}{5} = \dfrac{1}{ \( \theta) } [/tex] =》 [tex] \( \theta) = \dfrac{5}{2} [/tex][/tex]

B) AABC

[tex][tex] \boxed{( \theta) = {1}{( \theta)} }[/tex] So, [tex] 23}{-18=\\Ans } \boxed[/tex]

C) AABM:

[tex][tex] e \fbox{: }[/tex] The value of k for which [tex] \sin(jm) = \cos(x) [/tex] is [tex] \dfrac{\p}{2} [/tex] ans[/tex]

----------

INTREST-300000

Step-by-step explanation:

36000000

Answer:

each box contain 8 x 9 = 72

Answer:

At 8:45

He was at 90

He then went 20 kilo meters.

So,your final answer is 20 kilometers.

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Total # of student going field trip = 50 students

From the question, we know that they are planning to use two methods of traveling: car and van.

We also know that x represents the number of cars used and y represents the number of vans used.

We also know that cars can hold 5 students each and vans can hold 7 students each.

So the equation will be 5x+7y = 50. The answer is D.

Answer:

A. 336

Step-by-step explanation:

have a good day! :)

Answer: B. 336 is the answer

Answer:

No

Step-by-step explanation:

You can tell if something is a function by checking to see if a vertical line will intersect at one spot more than once. If it does, it is not a function.

Answer:

c

Step-by-step explanation:

C becasue 1 week = 15 mulitipication facts memorized

Answer:

C= 64.5 square inches :)

Step-by-step explanation:

To find the area of a parallelogram you have to use this formula:

A= bh b=base  h=height

So, with your given information, you can input the known variables

A= (10.75)(6)

A= 64.5 [tex]in.^2[/tex]

I hope this helps :)

Answer: See Annex

z (max)  = 190

x = 10

y = 20

Step-by-step explanation:

z = 5*x  +  7*y     to maximize

Subject to:

x + y ≤ 30

2*x + y ≤50

2*x - y ≥ 0

x≥=  y ≥0

If a company has issued 8% debentures of INR 10 each at a 10% discount repayable after 10 years. then the cost of capital or pretax cost of debt is 8%.

A bond or other sort of financial instrument that is secured by collateral is referred to as a debenture. Debentures must rely on the issuer's trustworthiness and reputation for support because they lack a collateral backstop. Debentures are commonly issued by both businesses and governments to raise cash or money. The interest paid on these security can be termed as cost of Debt or pretax cost of Debt.

The pretax cost of debt is interest paid on debenture security without giving effect of corporate tax on the rate of interest to be yearly or as per terms and conditions attached to it.

When debt security issued on discount then the loss on issue of these debenture instrument shall also be form part of cost of security or cost of capital.

Thus the year one pretax cost of  Debt capital will be Rs. 1 per debenture and 8% cost of debt.  

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Answer: 20 sq units

Step-by-step explanation:

A quick sketch graph will show the right angle is at (-3 ,4)

The lengths of the shorter sides are both sqrt(2^2 + 6^2) = sqrt(40)

Area = 1/2 x (sqrt(40))^2 = 20

If you didn’t have a right angle you could find the lengths of all sides a, b and c

Calculate the semi perimeter s = (a+b+c) / 2

And the area = sqrt(s(s-a)(s-b)(s-c))

Try and use this method to check the first one!

Answer

Here’s a graph. Hope this helps.

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

x²+y²-4x+2y=b

x²-4x+4+y²+2y+1=b+4+1

(x-2)²+(y+1)²=b+5

center is (2,-1)

UV is a segment Bisector.

A segment bisector is a line, ray, or segment that splits another line segment in half evenly at its center. The midpoint of the line segment is always bisected by the line, which divides it into two equally sized parts.

The angle bisector theorem states that a triangle's opposite side is divided into two parts by an angle bisector that is proportional to the triangle's other two sides.

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Using the formula of midpoint of a line, the coordinate of the endpoint k is (-6, 31)

The midpoint of a line is the point that is halfway between the two end points of the line. It can be found by taking the average (mean) of the x-values and the average (mean) of the y-values of the two endpoints.

The formula of midpoint of a line is given as;

M(x, y) = (x₂ + x₁) / 2, (y₂ + y₁) / 2

Since we have the midpoint and one endpoint, we can use the coordinate to find the missing coordinate.

The x - coordinate is calculated as;

-1 = (4 + x₁) / 2

-2  = 4 + x₁

x₁ = -2 - 4

x₁ = -6

The y - coordinates is calculated as;

8 = (-15 + y₁) / 2

16 = -15 + y₁

y₁ = 16 + 15

y₁ = 31

The coordinates of k is (-6, 31)

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Answer:

The best estimate would be C. 7 ft

Step-by-step explanation:

This is more of a logical question.  When you think about a door, 7 inches is out.  7 yards would be 21 ft and that is unusually tall for a door, as is 70 feet.

Using the conversion between metric and U.S systems the value of 0.828oz is 2347.34 cg.

A system of measurements is called the metric system. It is employed in calculations and research across the globe. Some examples of metric system are distance in lengths, weights in grams, volume in milliliters and much more.

The conversion between ounces (oz) into centigram (cg) is given as follows:

1 oz = 2834.95

To convert 0.828 oz into centigram we need to multiply the value 0.828 oz with 2834.95 as follows:

(0.828) (2834.95)

2347.35

Hence the value of 0.828 oz is 2347.34 cg according to the conversion from metric to US system.

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Answer:

A is 55°

B is 60°

Step-by-step explanation:

A + 125° = 180° (since they're in a straight line, they're a linear pair. Sum of the angles equals 180°)

A = 180° - 125°

A = 55°

A + B + 65° = 180°

A, B and 65° are angles of a triangle, so the sum of these 3 angles equals 180°

A + B + 65° = 180°

Since angle A equals 55°,

55° + B + 65° = 180°

120° + B = 180°

B = 180° - 120°

Angle B equals 60°