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3 years ago

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

Mathematics

1 answer:

aksik [14]3 years ago

5 0

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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Answer the questions below based on a bag of Jolly Ranchers having the following number of each flavor:

viva [34]

Part A) About 19/100
Part B) About 4/25
Part C) About 7/20
Part D) About 13/20

8 0

3 years ago

given that a1=5 and a2=15 are the first two terms of a geometric sequence, determine the values of a3 and a10. Show the calculat

Alekssandra [29.7K]

a_3 is 45 and a_10 is 98415

Step-by-step explanation:

Given

a_1 = 5

a_2 = 15

First of all we have to calculate the common ratio of the sequence. The common ratio is the ratio between two consecutive terms of a geometric sequence.

So,

$r=\frac{a_2}{a_1} = \frac{15}{5} = 3$

The explicit formula for geometric sequence is:

$a_n = a_1.r^{n-1}$

Putting the value of r and a_1

$a_n = 5.(3)^{n-1}$

Putting n=3 in the explicit formula

$a_3 =5.3^{3-1}\\= 5 * 3^2\\=5 * 9\\= 45$

Putting n=10 for tenth term

$a_{10} =5.3^{10-1}\\=5*3^9\\=5 * 19683\\=98415$

Hence,

a_3 is 45 and a_10 is 98415

Keywords: Geometric sequence, Explicit formula

Learn more about geometric sequence at:

#LearnwithBrainly

7 0

3 years ago

A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange.

likoan [24]

Weight of an grapefruit=weight of an orange+8% weight of an orange
weight of an apple=weight of an orange -10% weight of an orange

a.By what percentage is the grapefruit heavier than the apple?
We should find the connection between grapefruit and an apple. We know the connection between the weight of a grapefruit and an orange, we know the connection between an orange and an apple, so this means we know the connection between a grapefruit and an apple.

weight of an grapefruit=weight of an orange+8% weight of an orange
weight of an orange=weight of an apple +10% weight of an apple

-> weight of an grapefruit=weight of an apple+10% weight of an apple + 8%(weight of an apple+10% weight of an apple)= weight of an apple + 18% weight of an apple + 2% weight of an apple= weight of an apple + 20% weight of an apple

b.By what percentage is the apple lighter than the grapefruit?
weight of an grapefruit=weight of an apple + 20% weight of an apple

-> The apple ts 20% lighter than the grapefruit.

8 0

3 years ago

Read 2 more answers

Bella's Bakery charges $2.25 per cupcake

Sveta_85 [38]

Answer:

6 cookies

Step-by-step explanation:

first, find how much money they spent on cupcakes

6 × $2.25 = $13.5

then, take $13.5 and subtract that by $24

$24 - $13.5 = $10.5

so the person spent $10.5 on cookies. divide the amount per cookie by $10.5

$10.5 ÷ $1.75 = 6

so they bought 6 cookies

8 0

3 years ago

Fine the surface of one yard. please help .-.

ale4655 [162]

Answer:

1) 34 square meters

2) 21 square yards

Step-by-step explanation:

1) 7x4=28

1/2x3x2x2=6

28+6= 34 square meters

2)3x3=9

1/2x3x2x4=12

9+12= 21 square yards

6 0

2 years ago