If -30 + 8r = -7(-3r - 3) + 4r,
the value of 5r?

Answer:

20/7 or 13

Step-by-step explanation:

Answer:

20/7 doesn't reduce, so it's 20/7

if you mean 20- 7 it's 13

the proper fraction would be 2 remainder 6, 2.6, 2 and 6/10, or 2 and 3/5 simplified.

The value of R(A) = 4, N(AT ) = 3, R(AT ) = 4, and N (A) = 3.

Given that

Dimension of matrix  = 7×5

Rank of matrix = 4

The range space of A,

Which is a subspace of R, is known as R(A).

It is made up of all conceivable linear combinations of A's columns.

The dimension of R(A) =  rank of A,

Which is 4 in this case.

The null space of the transpose of A,

Which is also a subspace of R, is designated as N(AT).

All potential answers to the equation ATx = 0,

Where x is a R column vector, are included in it.

N(AT) has a dimension = nullity of A,

which in this case is 3 in this example.

The range space of the transposition of A, is designated as R(AT).

The rows of A are arranged in all conceivable linear configurations.

The rank of A = 4

Thus it equal to dimension of R(AT).

N(A) is the null space of A.

Axe = 0, where x is a column vector in R, are included in it.

The nullity of AT, which is three, is likewise equivalent to the dimension of N(A).

To learn more about matrix visit:

https://brainly.com/question/29132693

#SPJ1

Answer:

what is the question?

Step-by-step explanation:

Answer:

9/1 x 3/1

Step-by-step explanation:

The number 5.4 is greater than the number 5.04. Then the correct option is B.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The number line goes from 5.0 to 6.0 with 9 labeled marks in between.

Each mark increases by point one.

There are five labeled points.

A point labeled 5.04 is between 5.0 and 5.1.

A point labeled 5.26 is between 5.2 and 5.3.

A point labeled 5.4 is at the mark labeled 5.4.

A point labeled 5.520 is between 5.5 and 5.6.

A point labeled 5.71 is between 5.7 and 5.8.

Then the ascending order of the number will be

5.04 < 5.26 < 5.4 < 5.52 < 5.71

Thus, the correct option is B.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ1

Answer:

B did it on collegebridge

Step-by-step explanation:

The solution is, After decreasing £16870 by 3% we get, £16363.90.

Here, we have,

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

First, find the percentage of £16870 by 3%

%value = 3% * 16870

           = (3 / 100) * 16870

           = 506.1

Now, just minus with actual value

New value = actual value - %value

We know, actual value = £16870 and %value = 506.1

so, New value = 16870 - 506.1

we get, New value = £16363.90

Therefore, After decreasing £16870 by 3% we get, £16363.90

To read more about Percentage.

brainly.com/question/25896797

#SPJ1

complete question:

Decrease £16870 by 3%

Give your answer rounded to 2 DP.

From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

Learn more on inequality graph here: https://brainly.com/question/24372553

#SPJ1

The polynomials completely factorized have the following expressions;

50). x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)

51). x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)

52). x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)

53). x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)

For the polynomial x³ - 3x² - 26x - 12 divisible by x - 6;

(x³ - 3x² - 26x - 12)/(x - 6) = x² + 3x + 2

x² + 3x + 2 = (x + 1)(x + 2)

so;

x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)

For the polynomial x³ - 12x² + 12x + 80 divisible by x - 10;

(x³ - 12x² + 12x + 80)/(x - 10) = x² - 2x - 8

x² - 2x - 8 = (x + 2)(x - 4)

so;

x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)

For the polynomial x³ - 18x² + 95x + 126 divisible by x - 9;

(x³ - 12x² + 12x + 80)/(x - 9) = x² - 9x + 14

x² - 9x + 14 = (x - 2)(x - 7)

so;

x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)

For the polynomial x³ - x² + 21x + 45 divisible by x + 5;

(x³ - x² + 21x + 45)/(x + 5) = x² - 6x + 9

x² - 6x + 9 = (x - 3)(x - 3)

so;

x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)

Therefore, by complete factorization the expressions (x - 6)(x + 1)(x + 2), (x - 10)(x + 2)(x - 4), (x - 9)(x - 2)(x - 7), and (x + 5)(x - 3)(x - 3) are the factors of their respective polynomial.

Read more about polynomial here:https://brainly.com/question/8021175

#SPJ1

Answer:

(x, y) = (5.5, 2)

Explanation:

The coordinates of a point that divide the segment from point (x1, y1) to (x2, y2) into a ratio of a:b can be found using the following equations:

So, replacing (x1, y1) by (3, -3), (x2, y2) by (7, 5) and the ratio a:b by 5:3, we get that the coordinates of the point are:

Therefore, the coordinates of the point are (x, y) = (5.5, 2)

Answer:

The correct function is

\(f(b) = {b}^{2} - 4\)

As observed from the graph, the line passes through the points (0,0) and (4,1) so the slope is given by:

So the slope is 1/4.

Answer:625

Step-by-step explanation:(2+3)^4

5^4

The claim of Carly is correct that the sum of the deviations for a data set will always be 0.

Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.

Sum of the deviations of a data set is always 0.

This is because that the sum of the positive deviations is equal to the sum of the negative deviations.

Let a data set be 3, 2, 4, 5, 1

Mean = (3 + 2 + 4 + 5 + 1) / 5 = 3

Values     Deviations

3               3 - 3 = 0

2               2 - 3 = -1

4               4 - 3 = 1

5               5 - 3 = 2

1                1 - 3 = -2

Sum of the deviations = 0 - 1 + 1 + 2 - 2 = 0

Hence the sum of the deviations for a data set will always be 0.

Learn more about Mean here :

https://brainly.com/question/29895356

#SPJ1

Answer:

1. C.

2. B.

Step-by-step explanation:

Hope This Helps!!! : )

Step-by-step explanation:

everything can be found in the picture above. Hope this helps

Answer:

f(x) = sin(x) + 1

Step-by-step explanation:

tan(x) + sec(x)  =  \(\frac{sin(x)}{cos(x)}\) + \(\frac{1}{cos(x)}\)

                        =  \(\frac{sin(x) + 1}{cos(x)}\)

\(\frac{f(x)}{cos(x)}\)   =   \(\frac{sin(x) + 1}{cos(x)}\)

∴ f(x) = sin(x) + 1

Hope this helps!

Answer:

angle AOD measures 81 degrees.

To find compound angles, simply add the said angles together

e.g Angle COA is angle COB + BOA

Step-by-step explanation:

Answer:

The third answer

Step-by-step explanation:

COD makes a very wide obtuse angle.

Answer:

False.

Explanation:

A triangular pyramid has a triangular base and 3 triangular sides. Its net looks like:

Answer:

The value of h is \(\frac{5}{2}\) units

Step-by-step explanation:

In the given figure

∵ Every two opposite sides of the parallelogram are equal

∴ The length of the base of the height h is 3 units

∵ The area of the parallelogram = \(\frac{15}{2}\) units

∵ Area of parallelogram = b × h

→ Substitute the values of the area and the base in the rule above

∴ \(\frac{15}{2}\) = 3 × h

∴ \(\frac{15}{2}\) = 3h

→ Divide both sides by 3 to find h

∵  \(\frac{15}{2}\) ÷ 3 = 3h ÷ 3

∴ \(\frac{15}{6}\) = h

→ Simplify the fraction by divide up and down by 3 and switch the 2 sides

∴ h = \(\frac{5}{2}\) units

Answer:

The answer should be 64.21 or 64

Step-by-step explanation:

Help this Helped

Answer:

2x8=16

3x5=15

Step-by-step explanation: I hope you have/had an amazing day<3

Answer:

y = 10 x = 4

Step-by-step explanation:

Answer:

y = 10x - 30

Step-by-step explanation:

x = 5

5 x 10 = 50

50 - 30 = 20

y = 20

x = 6

6 x 10 = 60

60 - 30 = 30

y = 30

x = 7

7 x 10 = 70

70 - 30 = 40

y = 40

x = 8

8 x 10 = 80

80 - 30 = 50

y = 50

The intervals are denoted as:

Closed intervals = [a, b]

This interval includes a and b.

Open intervals = (a, b)

This interval does not include a and b.

The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].

What are intervals?

The intervals are numbers or values between two given point

The intervals are denoted as:

Closed intervals = [a, b]

This interval includes a and b.

Open intervals = (a, b)

This interval does not include a and b.

We have

A number line.

The set of values that is in the blue line is from -4 to 3.

This means that the blue line includes values from -4 to 3.

There are infinite numbers between -4 to 3.

The blue line denoted that the values -4 and 3 are also included.

The interval that denotes the values between -4 and 3 is:

= [-4, 3]

Thus,

The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].

For more such questions on intervals.

https://brainly.com/question/30460486

#SPJ8

Answer:

-----------------------

Taking the inverse tangent (arctan) of the given ratio 7/9.

Use a calculator or trigonometric table to find:

The approximate value of θ is 37.9°.

Answer:

7/17

Step-by-step explanation: I hope this helps!

Answer:

21/51 simplified to lowest terms is 7/17.

Step-by-step explanation:

Find the GCD of numerator and denominator

Divide both the numerator and denominator by the GCD

21 ÷ 3  = 7

51 ÷ 3 = 17

Reduced fraction = 7/17

Answer:

To find the mean waiting time, you need to add up all the waiting times and divide by the number of customers. In this case, the total waiting time is 6.8 + 7.5 + 7.2 = 21.5 minutes. Since there are 3 customers, the mean waiting time is 21.5 / 3 = 7.17 minutes. Rounded to one decimal place, the mean waiting time is 7.2 minutes.

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

plug in u. u=e

25>= 5x5

25>=25

true

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &20 \end{cases} \\\\\\ A=3000\left(1+\frac{0.06}{12}\right)^{12\cdot 20} \implies A=3000(1.005)^{240}\implies A \approx 9930.61\)