which expression is equivalent to -4.5-6.2y​

Answer:

(2,-8)  (0,-2)

Step-by-step explanation:

Answer:   [tex]A^{-1}=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right][/tex]

Step-by-step explanation:

                  [tex]\left[\begin{array}{cc}2&1\\4&3\end{array}\right]=\left[\begin{array}{cc}1&0\\0&1\end{array}\right][/tex]

[tex]\dfrac{1}{2}Row\ 1\rightarrow\left[\begin{array}{cc}1&\frac{1}{2}\\4&3\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\0&1\end{array}\right][/tex]

[tex]Row\ 2 -4 \ Row\ 1\rightarrow \left[\begin{array}{cc}1&\frac{1}{2}\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\-2&1\end{array}\right][/tex]

[tex]Row\ 1-\dfrac{1}{2}\ Row\ 2 \rightarrow \left[\begin{array}{cc}1&0\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right][/tex]

Answer:

4

Step-by-step explanation:

Since we have 2 points, we can find the slope using

m = ( y2-y1)/(x2-x1)

    = ( 7-3)/(9-8)

    = 4/1

   = 4

(8, 3) and (9, 7)

The slope of the line passing through the points (8, 3) and (9, 7).

y2 - y1 / x2 - x1

7 - 3 / 9 - 8

= 4 / 1

= 4

4

Answer:

Shortest distance is 5 blocks.

Answer:

5.8

Step-by-step explanation:

I'm not 100% on this as the decimal in the answer makes me doubt myself. Here's the explanation anyways

Answer:

The length of a rectangle is 5 centimetres longer than twice its width. If the perimeter of the rectangle is 88 centimetres, what is the width?

width=x

length=2x+5

perimeter=88=2L+2W

so half perimeter=44=L+W

x+2x+5=44

3x=39

x=13 cm width ANSWER

2x+5=31 cm length

The width of the rectangle is Width, W = 13 centimeters.

Given the following data:

Translating the word problem into an algebraic equation, we have;

[tex]L = 2W + 5[/tex]

To find the width of the rectangle;

Mathematically, the perimeter of a rectangle is given by the formula;

[tex]P = 2(L + W)[/tex]

Substituting the values into the formula, we have;

[tex]88 = 2(2W + 5 + W)\\\\88 = 2(3W + 5)\\\\88 = 6W + 10\\\\6W = 88 - 10\\6W = 78\\\\W = \frac{78}{6}[/tex]

Width, W = 13 centimeters.

Therefore, the width of the rectangle is Width, W = 13 centimeters.

Find more information: brainly.com/question/897975

Answer:

63

Step-by-step explanation:

Tangents drawn from external point to a circle are congruent.

Therefore,

SG = SD

8x - 9 = 5x + 18

8x - 5x = 9 + 18

3x = 27

[tex]x = \frac{27}{3} \\ x = 9 \\ SG = 8x - 9 \\ SG =8 \times 9 - 9\\ SG =72 - 9 \\ \huge \red{ \boxed{SG =63}}[/tex]

Answer: 63

Tangents drawn from external point to a circle are congruent.

SG = SD

8x - 9 = 5x + 18

8x - 5x = 9 + 18

3x = 27

Step-by-step explanation: 63

Answer:

[tex]x=24[/tex]

Step-by-step explanation:

[tex]\frac{x}{3}-15=-7[/tex]

Add 15 to both sides:

[tex]\frac{x}{3}-15+15=-7+15[/tex]

[tex]\frac{x}{3} =8[/tex]

Multiply both sides by 3:

[tex]\frac{3x}{3}=8\times3[/tex]

[tex]x=24[/tex]

Answer:

149.5 pages excluding the back parts

150.8 pages including the back parts

Step-by-step explanation:

Total pages in Math 123 book = 230 pages

You aim to complete 65% of all the pages, how many should you finish

65 % of 230 pages

= 65 / 100 × 230 pages

= 0.65 × 230 pages

= 149.5 pages excluding the bark parts of the book

If you include the back parts, that is, the beginning and ending page

You have a total of 230 pages + 2 pages

= 232 pages

65 % of 232 pages

= 65 / 100 × 232 pages

= 0.65 × 232 pages

= 150.8 pages including the back parts

Inverse of [tex] {12}^{2} [/tex] is [tex] {12}^{ \frac{1}{2} } [/tex]

Because [tex] {12}^{ \frac{1}{2} } = \sqrt[2]{12} [/tex]Which is the inverse of [tex] {12}^{2} [/tex]

Option C. Is the correct answer.

1. We have all the information we need here to set up our 'least-squares regression equation.'

Given: r = 0.68, x = 260, y = 70, s₁ = 33, s₂ = 6, remember that the general equation for our least-squares line is in the form y = a + bx. The slope of the regression equation is the linear correlation coefficient multiplied by the standard deviation for x:

b = r(s₂ / s₁) = 0.68(6 / 33) = 0.12363...

Remember that the constant of the regression equation is the mean of y decreased by the product of the slope and the mean of x:

a = y - bx = 70 -  0.12363(260) = 37.8562

The equation of the least-squares regression line would then be y = 37.8562 + 0.12363x. We know that the Jane's previous score was 279, so if we plug that into our equation as 'x' we will receive Jane's final score. The set up will be y = 37.8562 + 0.12363(279) = 72.34897. Your solution for the first part is absolutely correct!

2. Actually the values of 'y' could have been much larger. r^2 = 0.4624, thus the proportion of y explained by x is only about 46%. It would negatively affect her final course grade.

Answer: Hence, the proportion of head lands obtained from the total number of tosses is 0.583

Step-by-step explanation:

Given the following :

Total number of coin tosses = 60

Total number of times coin landed on head = 35

Proportion of head landings obtained :

Total number of head landings obtained / total number of coin tosses

Proportion of head landing obtained :

= 35 / 60 = 7 / 12 = 0.5833

Answer: 3630

Step-by-step explanation:

Given that:

Volume of container = 98,000 cubic volume

Volume of cabinet = 27 cubic volume

The number of cabinets which the container will. Hold equals:

Volume of container / volume of cabinet

= 98000 cubic volume / 27 cubic volume

= 3629.6296

The container will hold approximately 3630 27 cubic volume of cabinet.

Answer:

I hope it will help you :)

Answer:

(-2,-1)

Step-by-step explanation:

Right now, P is at (3,-4).  After the translation, it would be at

(-2,-1)

Answer:

This should be shown as:

-250 + 80 - 18 =  - 118

Step-by-step explanation:

Going down 250 feet will mean going down feet 250 so it will be -250. Rising 80 feet will mean going up 80 feet so it will be adding 80. Finally, descending 18 feet will mean going down 18 feet, so it will be -18. If you put them all together as one equation, you will get -250 + 80 - 18 which is -118.

Hope this helps!

The required mathematical expression would be shown  as:

-250 + 80 - 18 =  - 118

Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.

When a submarine starts at sea level, goes down 250 feet, rises 80 feet, and descends another 18 feet which are given in the question.

Going down 250 feet means going down 250 feet, thus it will be -250. Rising 80 feet will result in an increase of 80 feet. Finally, descending 18 feet means going down 18 feet, therefore the result is -18. When you add them all together, you get -250 + 80 - 18, which equals -118.

Therefore, the required mathematical expression would be shown  as:

-250 + 80 - 18 =  - 118

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Answer:

First arrange the data in an order

3, 3, 3, 7, 7, 10, 10, 12, 12, 13, 14, 17, 17, 18, 21

a.) Q1 = (N + 1)/4th item = (15 + 1)/4 = 4th item = 7

Q2 = 2(16)/4 = 16/2 = 8th item = 12

Q3 = 3(16)/4 = 3(4) = 12th item = 17

IQR = (Q3 - Q1)/2 = (17 - 7)/2 = 10/2 = 5

b.) 82nd percentile = 82(16)/100 = 13th item = 17

c.) 12 is the 8th item which is in the middle of the data set, so the percentile rank is 50%

Step-by-step explanation:

Answer:

[tex]k=4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]\sqrt{2k^2+17}-x=0[/tex]

Where:

[tex]k>0\text{ and } x=7[/tex]

And we want to find k.

Firstly, let's substitute 7 for x. So:

[tex]\sqrt{2k^2+17}-7=0[/tex]

Now, we can solve for k. Add 7 to both sides:

[tex]\sqrt{2k^2+17}=7[/tex]

Square both sides:

[tex]2k^2+17=49[/tex]

Subtract 17 from both sides:

[tex]2k^2=32[/tex]

Divide both sides by 2:

[tex]k^2=16[/tex]

Take the square root of both sides:

[tex]k=\pm\sqrt{16}[/tex]

Evaluate:

[tex]k=\pm 4[/tex]

Remember that we are told k>0. In other words, k must be positive. So, we can ignore the negative answer, giving us:

[tex]k=4[/tex]

So, the value of k is 4.

And we're done!

Answer:

Step-by-step explanation:

One

Answer:

-73,-74 and -75

Step-by-step explanation:

1st No=x

2nd No=x+1

3rd No=x+2

x+(x+1)+(x+2)=-216

x+x+x+2+1=-216

3x+3=-216

3x=-216-3

3x=-219 (÷ b.s by 3)

x=-73

1st No=-73

2nd No=-73+1

3rd No=-73+2

Answer:

$4.95

Step-by-step explanation:

If jelly beans cost $2.75 per pound then multiplying the cost per pound by the amount of jelly beans purchased will give the answer of $4.95 per 1.8 pounds of jelly beans.

Answer:

Step-by-step explanation:

Given the quadratic function  

As per given function:

Then

This time is approximately mid 2012.

Considering this in the function, to get oil import rate for the same time:

Rounded to two significant figures, the greatest oil import rate was:

Answer:

Step-by-step explanation:

(15 -5)/(8 - 3)= 10/5 = 2

y - 5 = 2(x - 3)

y - 5 = 2x - 6

y = 2x - 1

Answer:

The second one is d. 13

Step-by-step explanation:

Add what you know first. 110+57= 167. Then, subtract what the angle is all together with the answer from what you know. 180-167= 13. X= 13. I'm bad at explaining so I hope that was clear.

Answer:

Community Parks

Step-by-step explanation:

Answer:

D

Step-by-step explanation: Because they are trying to reserve the parks and the animal life and plant life in it. Hope this helps :)

If he has 484 plants and there are as many rows as there are plants in each row, his field is a square.

The area of a square = (side)^2

In this problem,

Area = 484

side = # of rows

Let's plug our values into the formula above

484 plants = (side)^2

Take the sqrt of both sides.

22 rows = side.

Answer:

This is the answer..........

Answer:

1) ∫ x² e^(x) dx

4) ∫ x cos(x) dx

Step-by-step explanation:

To solve this problem, eliminate the choices that can be solved by substitution.

In the second problem, we can say u = x², and du = 2x dx.

∫ x cos(x²) dx = ∫ ½ cos(u) du

In the third problem, we can say u = x², and du = 2x dx.

∫ x e^(x²) dx = ∫ ½ e^(u) du

Answer:

$1500

Step-by-step explanation:

Total interest:

Additional money is $1500

50 seconds per minute

The rate of entering customers per minute, if 4 customers entered a store over the course of 6 minutes, is 2 / 3.

It is the basic arithmetic operation, in which you are separating the number into some parts. One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.

Given:

4 customers entered a store over the course of 6 minutes,

Calculate the rate of entering customers per minute as shown below,

The rate of entering customers per minute = total number of customer / total time

The rate of entering customers per minute = 4 / 6

The rate of entering customers per minute = 2 / 3

Thus, the rate of entering is 2 / 3.

To know more about division:

https://brainly.com/question/27566440

#SPJ5

Answer:

bc/ef =48/32

divide by 16 you will get

3/2

Step-by-step explanation: