Which property is shown in the matrix addition below?
[-6 15 -2 ] + [6 -15 2 ] = [0 0 0

Answers

Answer 1
Answer:

Answer:

The property shown in matrix addition given is "Additive Inverse Property"

Step-by-step explanation:

First of all lets define what a matrix is.

A matrix is an array of rows and columns that consists of numbers. There are several types of matrices. The one in our question is a row matrix which consists of only one row.

There are several addition properties for matrices.

One of them is additive inverse property. The additive inverse of a matrix consists of the same elements but their signs are changed.

Additive inverse property states that the sum of a matrix and its additive inverse is a zero matrix.

\left[\begin{array}{ccc}-6&15&-2\end{array}\right] + \left[\begin{array}{ccc}6&-15&2\end{array}\right] = \left[\begin{array}{ccc}0&0&0\end{array}\right]

Hence,

The property shown in matrix addition given is "Additive Inverse Property"


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Which function, g or h, is the inverse function for function f?

If h(x) = -2x+5/4, find h(x) = 3/4

Answers

Answer:

x=(1)/(4)

Step-by-step explanation:

So we have the function:

h(x)=-2x+(5)/(4)

And we want to find h(x)=3/4.

So, we want to find the value of x such that h(x) equates to 3/4.

So, substitute 3/4 for h(x):

(3)/(4)=-2x+(5)/(4)

First, subtract both sides by 5/4. The right will cancel.

(3)/(4)-(5)/(4)=-2x+(5)/(4)-(5)/(4)

Subtract on the left:

-(2)/(4)=-2x

Reduce on the left:

-(1)/(2)=-2x

Now, multiply both sides by -1/2. The right will again cancel:

-(1)/(2)(-(1)/(2))=-(1)/(2)(-2x)

Multiply on the left:

x=(1)/(4)

So, for h(x) to be 3/4, the value of x is 1/4.

And we're done!

Answer:

x = 1/4

Step-by-step explanation:

We are given the function as h(x) = - 2x + 5/4. If we have to determine h(x) = 3/4 given this function, let's substitute this value into our function and solve for 'x.' This will be our solution -

3/4 = - 2x + 5/4,

If we subtract 5/4 from either side : - 2x = - 1/2

Now divide either side by - 2 : x = 1/4

Therefore our solution is x = 1/4

Five infinity stones cost $16.80. What is the price per infinity stone ?

Answers

Answer:

The price is $3.36 per infinity stone

Step-by-step explanation:

we know that

Five infinity stones cost $16.80

so

To find the price of each infinity stone (unit rate) divide the total cost by five

(16.80)/(5) =3.36(\$)/(infinity\ stone)

What’s the correct answer for this?

Answers

Answer:

BC = 67

Step-by-step explanation:

Since both tangents are originating from a single point, they are equal, rest in the attached file

I WILL MAKE YOU THE BRAINLIEST EASY QUESTION

Answers

Answer:

B.) 3.65, 3 2/3, 3.7

Step-by-step explanation:


Answer:


Step-by-step explanation:

The second option shows the numbers in order from least to greatest because 3 2/3 simplified is 3.6666666

The volume of a sphere is 5000 pi m^3 what’s the surface area of the sphere

Answers

Volume of sphere is given by:
V=4/3πr³
the radius of the sphere will therefore be given by:
5000π=4/3πr³
solving for r we get:
r³=3750
hence
r=15.54 m
the area will therefore be:
A=4πr²
A=4π(15.54)²A=965.49π m²

Answer:

3,033.11 m²

Step-by-step explanation:

V=3/4πr³

5,000π= 4/3 πr³

5,000= 4/3 r³

3/4 x 5,000 = r³

3,750 = r³

r = 15.536

SA = 4πr²

SA = 4π(15.536)²

SA = 3,033.11 m²

A culture started with 5000 bacteria after three hours it grew 6500 bacteria predict how many bacteria will be present after 13 hours round your answer to the nearest whole number

Answers

Answer:

15595 bacteria will be present after 13 hours.

Step-by-step explanation:

Continuous population growth:

The continuous population growth model, for the population after t hours, is given by:

P(t) = P(0)e^(rt)

In which P(0) is the initial population and r is the growth rate.

Started with 5000 bacteria

This means that P(0) = 5000

So

P(t) = 5000e^(rt)

After three hours it grew 6500 bacteria:

This means that P(3) = 6500. We use this to find r.

P(t) = 5000e^(rt)

6500 = 5000e^(3r)

e^(3r) = (65)/(50)

\ln{e^(3r)} = \ln{(65)/(50)}

3r = \ln{(65)/(50)}

r = \frac{\ln{(65)/(50)}}{3}

r = 0.0875

So

P(t) = 5000e^(0.0875t)

How many bacteria will be present after 13 hours?

This is P(13). So

P(13) = 5000e^(0.0875*13) = 15594.8

Rounding to the nearest whole number

15595 bacteria will be present after 13 hours.