Evaluate the determinant for the following matrix [144] [522] [155]

Answers

Answer 1
Matrix :

1    4    4

5    2    2

1    5    5

=> Determinant =

1 * (2*5 - 2*5) - 4 * (5*5 - 1*2) + 4 * ( 5*5 - 2*1)

= 1*(10 - 10) - 4*(25 - 2) + 4*(25 -2) = 1*0 + 4* 23 + 4*(25 - 2) = 0 - 4*23 + 4*23 = 0

Answer: 0

Related Questions

A sample in which every member of the sampling frame has an equal chance of being selected.

Answers

A sample in which every member of the sampling frame has an equal chance of being selected is called Random Sampling.

How do you use a Number line to multiply two digit numbers by 20

Answers

Draw a number line and start labeling until you get to 20 by 2

Find the value of the following expression [(17-9)×(3×2)]÷2

Answers

17-9=8

3*2=6

Then Multiply the parentheses.

6*8=48

48/2=24

24
Answer is 24 because if you use
P
E
M
D
A
S
You could get you answer so here's a picture to show you how I did it

145% of what number is 870

Answers

145% of what number is 870 is 870/1.45=600


Answer=600

Answer:

600

Step-by-step explanation:

145% can be written as 145/100.

"of" is another word for multiplication in math

"x" will be the variable for the number

The equation:

145/100x=870

Here, we simplify the equation:

Step 1 (write the equation): 145/100x=870

Step 2 (multiply both sides by 100): 145x = 87000

Step 3 (divide both sides by 145): x=600

:)

A factor for (f/g, i, n) could be obtained by multiplying the (p/g, i, n) factor by the _______________ factor.

Answers

Answer:

hm

Step-by-step explanation:

good question

The factor that needs to be multiplied by the (p/g, i, n) factor to obtain the (f/g, i, n) factor is the conversion factor between the two units of measurement being used for the factor.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

In this case, the units of measurement for both factors are not specified, so it's not possible to determine the specific conversion factor needed. However, in general, if the two factors are expressing the same quantity but in different units (for example, feet and meters), then the conversion factor between those two units would be used to convert the (p/g, i, n) factor to the appropriate units before multiplying it by the (f/g, i, n) factor.

Thus,

The factor that needs to be multiplied by the (p/g, i, n) factor to obtain the (f/g, i, n) factor is the conversion factor between the two units of measurement being used for the factor.

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What is the probability of flipping heads with a biased coin?

Answers

That depends on what the bias of the coin is.

find the derivative of the given function at the indicated point f(x)=1/x a=2

Answers

Final answer:

The derivative of the function f(x) = 1/x at x = 2 is -1/4, found using the power rule of differentiation.

Explanation:

To find the derivative of the function f(x) = 1/x at the point where a = 2, we employ the power rule of differentiation. The function can be rewritten as f(x) = x-1. Applying the power rule (f'(x) = n*xn-1) to this function, the derivative is f'(x) = -1*x-2 or f'(x) = -1/x2. To find the derivative at x = 2, we simply substitute x with 2, giving us f'(2) = -1/22 = -1/4.

A car repair shop shop charged 80$ per hour for labor and210 for car parts it it all cost 490 how many hours did it take

Answers

Let x be the number of hours to fix car.

$80x + 210 = 490
80x= 490-210
80x = 280
x = 280/80
x= 3.5 hours

Hope I helped :)

what is 10.85 divided by blank equals 1.55. what is the missing number

Answers

10.85 / 1.55 = 7

10.85 / 7 = 1.55

The missing number is 7.

Hope this helps!
10.85 = 1.55x
10.85/1.55 = x
x = 7

Answer: 7 is your missing number because 10.85/7 = 1.55 is true.

Which point is on the graph of a direct variation equation in which k = 1.8? A. (4, 0.45) B. (7.2, 4) C. (4, 7.2) D. (0.45, 4)

Answers

The answer is B (7.2, 4).

Answer: C

(4, 7.2)

Step-by-step explanation: Just took this test

What is the justification for each step in the solution of the equation?

−2(x−1)+12=4x−6−2(x−1)+12=4x−6
Select from the drop-down menus to correctly justify each step.


−2(x−1)+12=4x−6−2(x−1)+12=4x−6 Given
−2x+2+12=4x−6−2x+2+12=4x−6
−2x+14=4x−6−2x+14=4x−6 Combine like terms.
−2x=4x−20−2x=4x−20
−6x=−20−6x=−20 Addition or Subtraction Property of Equality
x=206x=206
x=103x=103 Simplify.

Answers

Here are the following justifications:

Given: -2 (x-1) +12=4x-6


Distribute property = -2x+2+12=4x-6


Combine like terms= -2x+14=4x-6

 

Transpose = -2x = 4x – 20

 

Addition or Subtraction Property of Equality = -6x = -20

 

Division property of equality = x = 20/6

 

Simplify = x = 10/3

Answer:

Step-by-step explanation:

Jon has two trees in his yard. one is 20 feet taller than the other. if we let h h be the height of the shorter tree, write an algebraic expression for the sum of the two trees' heights. be sure to simplify your expression.

Answers

If one tree has the height that equals has, then the other one has the height of "h+20", which brings us to the sum = h + (h + 20)= 2h + 20

Answer:

[tex]2h+20[/tex]

Step-by-step explanation:

It is given that there are two trees in Jon yard, where one tree is 20 feet taller than the other.

We need to find the algebraic expression for the sum of the two trees' heights.

So, in order to solve that we first need to find the height of individual trees then we have to add.

Also, It is given that the height of the smaller tree is h.

So, height of the larger tree is [tex]h+20[/tex]

Now, the total height of both the trees [tex]=h+h+20[/tex]

[tex]=2h+20[/tex]

Hence, the total height of both the trees is [tex]2h+20[/tex].

LaTonya works two part-time jobs while attending college. She works 12 hours per week as a work-study student at the college and is paid once a month. After taxes, her net pay is $289. On her second job, LaTonya works 16 hours each week and is paid $7.25 per hour. Deductions from her weekly paycheck total $22.10. LaTonya's husband works full-time and is paid every two weeks. His take home pay after taxes is $1,108.

What is the total household income they should use in creating a budget for the next six months?

Answers

17,286.60 i think because doing all of the work you should get that

Answer:

Your answer should be $18,579.40

Step-by-step explanation:

The sum of two consecutive integers is 131. What are the integers?

Answers

x, x+1
x+x+1=131
2x+1=131
2x=131-1=130
x=130÷2 = 65
the integers are 65 and 66

Answer:

The Integers are 65&66

Step-by-step explanation:

Because I got correct with these awnsers

How many minutes will it take to drive 82 miles with the speed of 65 miles per hou?

Answers

time = distance / speed
time|hr = 82/65 hour
but 60minutes = 1hour. so
82/65 hr = 82/65×60 minutes = 75.7 minutes

Cyndi bought an extra large pizza, cut into 12 pieces, for today's meeting of the mystery club. She ate 1/6 of the pizza yesterday afternoon. Her brother ate 1/5 of what was left last night. Cyndi knows that she needs 8 pieces of pizza for the club meeting. Help Cyndi figure out if she has ebough pizza left for the meeting.

Answers

Cyndi does have enough pizza for the meeting because she ends up 8 slices of pizza left.
She ate 1/6 of the pizza which left her with 10 slices left (she ate two slices of the 12).
Then her brother ate 1/5 of the pizza which means that he also ate two slices (because 1/5 of 10 is 2).
That means she has 8 slices left: enough for her meeting.

Answer:

Thus, she has enough pizza left for the meeting.

Step-by-step explanation:

It is given that, Cyndi cut pizza in 12 pieces.

Also, She ate 1/6 of pizza yesterday afternoon.

⇒ She ate = [tex]12\times\frac{1}{6} = 2\ \text{pieces}[/tex]

Her Brother ate 1/5 of left pizza

⇒ Her Brother ate = [tex]10\times\frac{1}{5} = 2\ \text{pieces}[/tex]

Then she has left pieces of pizza = 12 - (2 + 2) = 8 pieces

And also that much pieces she wants for the club meeting.

Thus, she has enough pizza left for the meeting.

Kevin has $4.85 in nickels and dimes. If he has 34 fewer dimes than nickels, how many coins (nickels and dimes) does he have altogether?

A.) 74 coins
B.) 75 coins
C.) 76 coins
D.) 77 coins

Answers

The answer is C) 76 coins

Answer:the awnser is c 76

Step-by-step explanation:

eight out of ten dentists prefer crest toothpaste.what is the ratio of dentist who do not prefer crest to those who do.

Answers

It would be 2:10 or 2:8

8 do, 2 don't

 so the ratio would be 2:8 which can reduce to 1:4

A person can burn about 9 calories per minute bicycling. Let x represent the number of minutes bicycled, and let y represent the number of calories burned. Create a mapping diagram to show the number of calories burned by bicycling for 50, 100, 150, or 200 minutes. Determine the domain and range of the relation in context and explain whether or not this represents a function.

Answers

this is digram and its function

Final answer:

A mapping diagram to show the number of calories burned by bicycling for different durations has been created. The domain is {50, 100, 150, 200} minutes, and the range is {450, 900, 1350, 1800} calories. This represents a function because each time duration maps to exactly one calorie value.

Explanation:

To create a mapping diagram that represents the number of calories burned by bicycling for 50, 100, 150, or 200 minutes, we consider that a person burns about 9 calories per minute. Let x represent the number of minutes bicycled, and let y represent the number of calories burned. The mapping diagram looks like this:

50 minutes → 50 × 9 = 450 calories

100 minutes → 100 × 9 = 900 calories

150 minutes → 150 × 9 = 1350 calories

200 minutes → 200 × 9 = 1800 calories

The domain of this relation is the set of minutes bicycled, which is {50, 100, 150, 200}, and the range is the set of calories burned, which is {450, 900, 1350, 1800}. This does represent a function because for each value in the domain, there is exactly one corresponding value in the range.

What conversion factor would you use to convert cubic decimeters to milliliters?

Answers

1 cubic decimeter equals 1000 milliliters.so 1cubic decimeter=1000milliliters. Hope i helped.

The function f(x) is graphed on the coordinate plane.

What is f(−1) ?

Answers

I'm almost positive its -1

Answer:

3

Step-by-step explanation:

Similar problem to a previous one that I solved

Which of the following is true for the relation f(x) = 2x2 + 1?


Only the equation is a function.


Neither the equation nor its inverse is a function.


Both the equation and its inverse are functions.


Only the inverse is a function.



Answers

Neither the equation nor its inverse is a function

Answer:

Both the equation and its inverse are functions.

Step-by-step explanation:

Since, a relation is called a function when an input value of the relation has only one output value,

Here, the given relation,

[tex]f(x) = 2x^2 + 1[/tex]

When we plot the graph of this function,

We observed that all vertical line intersects the graph exactly once, except

, x = 0,

Thus, by vertical line test,

In the given equation every x has only one output value,

⇒ f(x) is a function,

Now, the inverse of a function is also a function,

⇒ [tex]f^{-1}(x)[/tex] is also a function,

Hence, Both the equation and its inverse are functions.

which of the following equations describe the graph shown below?

Answers

1) The square root of x+4 +1

Hope this helps!

A zebra ran at a speed of 20 feet per second. Which operation should you use to find the distance the zebra ran in 10 seconds?

Answers

you would multiply speed by time

 20 feet per second times 10 seconds = 200 feet total

First, you would cross multiply the equation 20ft/1s = x/10s. 
Giving you 200ft/10s

Your answer would be, 200ft

I hope this helps!

Pleasssss answer me

Elena plans to ride her bicycle 5 miles to a park and then ride several times around a loop in the park that is 3 miles long. Then she’ll ride the same way home. She wants to ride a total of at least 22 miles. The inequality 3t + 10 ≥ 22 models this situation, where t is the number of times Elena rides around the loop.

Solve the inequality. How many times does Elena need to ride around the loop?

A. 5 or more times
B. At most 4 times
C. At most 5 times
D. 4 or more times

Answers

Answer:

Option D. 4 or more times

Step-by-step explanation:

we have

[tex]3t+10\geq 22[/tex]

Solve for t

Subtract 10 both sides

[tex]3t+10-10\geq 22-10[/tex]

[tex]3t\geq 12[/tex]

Divide by 3 both sides

[tex]t\geq 4\ times[/tex]

The solution is all real numbers greater than or equal to 4

therefore

4 or more times

Answer:

Option D is the correct answer.

Step-by-step explanation:

The inequality is given by 3t + 10 ≥ 22, where t is the number of loops Elena rides in the park.

Solving we will get

                            3t + 10 ≥ 22                            

                            3t  ≥ 22 - 10

                              3t ≥ 12

                                t ≥ 4

That is t is 4 or more times,

Number of times Elena need to ride around the loop is 4 or more times.

Option D is the correct answer.

A salesman makes both a base salary and also a commission, which is a percentage of what he sells. Each month, if his sales total s dollars, he makes a total of 2000 + 0.1s dollars. What does 2000 represent?

Answers

2000 represents his salary and 0.1s is the commission.

if you add one-third of a number to itself, you get 1348. what is the number?

Answers

1/3x+x=1348
1 1/3x=1348
x=1011

An equation is formed of two equal expressions. The number is 1,011.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the unknown number be represented by x.

Given that if you add one-third of a number to itself, you get 1348. Therefore, we can write the given statement in the form of an equation as,

(1/3)x + x = 1348

(x/3) + (3x/3) = 1348

(x + 3x)/3 = 1348

4x / 3 = 1348

4x = 1348 × 3

x = (1348×3)/4

x = 1011

Hence, the number is 1,011.

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Evaluate this piecewise function at x=-4 and x=4.

(Can someone show me how to solve this because i don't know what to do to solve this)

Answers

The piecewise function is
f(x) = x²,   x≤ -4
      = x³,  -4 < x ≤ 1
      = √x,  x > 1

To find f(-4), we note that f(x) = x²,   x ≤ 4, so we should use this part of the function.
f(-4) = (-4)² = 16

To find f(4), we note that f(x) = √x, x > 1, so we should use this part of the function.
f(4) = √4 = +2 or -2.
A graph of the function is shown below. It indicates that f(4) = +2 for continuity.

Answer: 
f(-4) = 16
f(4) = 2.

Which of the following points is a solution of the inequality y > -2x + 5?
(1 ,4)
(0 ,5)
(-2, 8)
(1, -2)

Answers

After testing each given point by substituting them into the inequality y > -2x + 5, only the point (1, 4) satisfies the condition, making it the correct answer.

The question is asking to find which point among the options given satisfies the inequality y > -2x + 5. To solve this, we will substitute the x and y values from each option into the inequality and check whether the inequality holds.

For (1, 4), if we substitute x = 1 and y = 4 we get 4 > -2(1) + 5, which simplifies to 4 > 3. Since this is true, this point is a solution.

For (0, 5), if we substitute x = 0 and y = 5 we get 5 > -2(0) + 5, which simplifies to 5 > 5. Since this is not true (it should be strictly greater), this point is not a solution.

For (-2, 8), if we substitute x = -2 and y = 8 we get 8 > -2(-2) + 5, which simplifies to 8 > 9. Since this is not true, this point is not a solution.

For (1, -2), if we substitute x = 1 and y = -2 we get -2 > -2(1) + 5, which simplifies to -2 > 3. Since this is not true, this point is not a solution.

Therefore, the correct answer is the point (1, 4) as it is the only one that satisfies the given inequality.

Find the equation of the line passing through (4,3) and parallel to the line whose equation is y=2x-6

Answers

Y=2x-6 (4, 3)
(X, Y)
3=2(4)+b
3=8+b
-5=b

Y=2x-5
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