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3 years ago

What are the dimensions of the matrix?

Mathematics

2 answers:

mrs_skeptik [129]3 years ago

6 0

For this case we have that by definition, the dimension of a matrix is given by:

<em>The number of rows by the number of columns </em>

It is observed that we have a column that consists of three rows.

$\left[\begin{array}{c}6&\\2&\\8&\end{array}\right]$

Thus, the dimension of the matrix is 3 * 1

Answer:

3 * 1

Option A

denis-greek [22]3 years ago

3 0

Answer: 3 x 1

There are 3 rows and 1 column. We write the number of rows first. The rows are laid out horizontally while the columns are vertical. We say this is a "3 by 1 matrix".

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A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies. The city's animal shelt

inysia [295]

Answer: The number of dogs in all of the city's animal shelters is puppies = 270

Step-by-step explanation:

Given: A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies.

The city's animal shelters collectively house 1,485 dogs each year.

The number of dogs in all of the city's animal shelters is puppies = $1485\times\dfrac{10}{55}=270$

Hence, The number of dogs in all of the city's animal shelters is puppies = 270

7 0

3 years ago

Simplify the expression (7 + 9i)(8 - 10i)

NeX [460]

The simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i

<h3>How to simplify the expression?</h3>

The expression is given as:

(7 + 9i)(8 - 10i)

Expand the bracket

7 * 8 + 9i * 8 -7 * 10i - 9i * 10i

Evaluate the products

56 + 72i -70i - 90(i²)

Evaluate the difference

56 + 2i - 90(i²)

In complex numbers;

i² = -1

So, we have:

56 + 2i - 90(-1)

Evaluate

56 + 2i + 90

Add the like terms

146 + 2i

Hence, the simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i

Read more about complex numbers at:

brainly.com/question/10662770

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6 0

2 years ago

The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha

Xelga [282]

Answer:

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

4 0

2 years ago

If 3t - 7 = 5t, then 6t = <br> A. 21 <br> B. -7 <br> C. -21<br> D. -42

podryga [215]

Answer:

C. -21 is your answer

Step-by-step explanation:

Solve for t. Isolate the variable t in the first equation, then use the number gotten to solve the second equation.

3t - 7 = 5t

First, subtract 3t from both sides

3t (-3t) - 7 = 5t (-3t)

-7 = 5t - 3t

-7 = 2t

Isolate the variable (t). Divide 2 from both sides

(-7)/2 = (2t)/2

t = -7/2

t = -3.5

Plug in -3.5 for t in the second equation

6(t) =

6(-3.5) =

6(-3.5) = -21

C. -21 is your answer

6 0

3 years ago

1. *

julsineya [31]

Answer:

Her multiplication

Step-by-step explanation:

Not really an aexplanation

8 0

3 years ago