Find the product of 5/3 with quotient of 2/11 and 4/11

Step-by-step explanation:

[tex]f(x) = {x}^{2} + 2x - 10 \\ f( - 2) = { (- 2)}^{2} + 2( - 2) - 10 = \\ = 4 - 4 - 10 = - 10[/tex]

Answer:

Expression of the statement = 18 - 2x

Answer:

18 - 2x

Step-by-step explanation:

The roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

The equation is given as:

x^2 + (1 - k).x+k-3 = 0

For an equation to have real root, then the following must be true:

[tex]b^2 \ge 4ac[/tex]

In x^2 + (1 - k).x+k-3 = 0, we have:

a = 1

b = 1 - k

c = k - 3

So, we have:

[tex](1 - k)^2 \ge 4 * 1 * (k - 3)[/tex]

Evaluate

[tex]1 - 2k + k^2 \ge 4k - 12[/tex]

Collect like terms

[tex]k^2 - 2k - 4k + 1 + 12 \ge 0[/tex]

[tex]k^2 - 6k + 13 \ge 0[/tex]

Using a graphing calculator, the value of k is all real numbers

Hence, the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

Read more about real values at:

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Answer:

FG = 44

EG = 80

Step-by-step explanation:

For FG:

1) 5z - 16 = 3z + 8

2) 5z = 3z + 24

3) 2z = 24

4) z = 12

5) 3(12) + 8 = 44

For EG:

1) 2w + 22 = 4w + 4

2) 2w = 4w - 18

3) -2w = -18

4) w = 9

5) 4(9) + 4 + 2w + 22 = 80

Answer:

a) 100% = 20 squares

b) 120% = 24 squares

Answer:

28

Step-by-step explanation:

Answer:

The student got 28 questions correct and 7 wrong.

Answer:

£11241.09

Step-by-step explanation:

100+6 = 106%

106% = 1.06

8400 x 1.06^5= £11241.09485

Round to 2 d.p = £11241.09

Hope this helps

Answer:

56.1

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent/ hypotenuse

cos N = PN / NO

cos 27 = 50/ x

x cos 27 / 50

x = 50/cos 27

x=56.11631188

Rounding to the nearest tenth

x = 56.1

Step-by-step explanation:

i think it's a b and answer my new question it's 100 point question I really need the answer pls help me

Answer: The answer is 4 units to the left of 11

Step-by-step explanation: First you get the answer -4+11=7 so then on the number line you have to find which of those options gets you 7 which will be 4 units to the left of 11 since the left is going less then 11 in the end you will get 2 places more to the right of the 5 on the number line making the number 7 there.

Answer:

.

Step-by-step explanation:

.///////

First find the length of the room by dividing the area by the width:

99 / 9 = 11

2 walls would be 9 feet and 2 walls would be 11 feet.

Perimeter is the sum of the 4 walls:

11 + 11 + 9 + 9 = 40 feet

Answer:

5

Step-by-step explanation:

The value of the interquartile range of the data below is 5.

The difference between the third and the first quartile is defined by the interquartile range. There are so three quartiles.

The first quartile, also known as the lower quartile, is marked by Q1, the second quartile by Q2, and the third quartile, sometimes known as the upper quartile, is denoted by Q3. The lower quartile less the upper quartile equals the interquartile range.

From the Plot we can write

Minimum = 27

Lower quartile = 32

Median = 36

Upper Quartile = 37

Maximum = 40

So, Interquartile range (IQR)

= Third Quartile (Q3) - First Quartile (Q1)

= 37 - 32

= 5

Learn more about IQR here:

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Answer:

3 seconds

Step-by-step explanation:

Initial height = 144 feet

t = Time taken

The equation of the height from the ground is

[tex]h(t)=-16t^2+\text{Initial height}[/tex]

The time taken to reach the ground is needed. Here the ground is taken as reference so [tex]h(t)=0[/tex]

[tex]0=-16t^2+144\\\Rightarrow -144=-16t^2\\\Rightarrow t=\sqrt{\dfrac{144}{16}}\\\Rightarrow t=3\ \text{s}[/tex]

So, time taken by the quarter to reach the ground is 3 seconds.

Answer:

x=78

Step-by-step explanation:

2/3(9+x)=-5(4-x)

6+2/3=-20+x

6=-20+1/3x

x=78

Answer:

x=6

Step-by-step explanation:

Distribute.

2/3 * 9 = 6

2/3 * x = 2/3x

Distribute other side.

-5*4 = -20

-5 * -x = 5x

Rewrite.

6 + 2/3x = -20 + 5x

Subtract 5x from both sides.

-13/3x + 6 = -20

Subtract 6 from both sides.

-13/3x = -26

Multiply -3/13 to both sides.

x=6

Answer:

35 (C)

Step-by-step explanation:

Answer:

B) 30

Step-by-step explanation:

This is a pretty tricky question. If you draw the line of best fit and go to 9 salespeople, it would be closer to 30 compared to any of the other choices.

Answer:

○ B. [tex]\displaystyle 186\:square\:units[/tex]

Explanation:

All edges conjoin to form right angles, therefore you have these:

[tex]\displaystyle \boxed{186} \hookrightarrow 121 + 30 + 35 \Rightarrow 11^2 + 5 \times 6 + 5 \times 7[/tex]

OR

[tex]\displaystyle \boxed{186} \hookrightarrow 120 + 66 \Rightarrow 24 \times 5 + 6 \times 11[/tex]

I am joyous to assist you at any time.

Step-by-step explanation:

(2×2) . 2×2×2×2 . 2×2×2

=(4) . 16 . 8

Answer: m=3

Step-by-step explanation:

This could be written as m+5=8

You would then do the inverse to 'undo' the equation. So instead of adding 5 you would take away 5 from 8.

8-5=3

Hope this helps :)

Answer:

5

Step-by-step explanation:

because it takes 4 1/5 paint for each canvas 5 times 4 1/5 is 21.

I don't know sorry but I recommend using quizlet

Answer:

7/12 or 58.333%

Step-by-step explanation:

There are the 36 possible outcomes.  

6+5+4+3+2+1 = 21 are greater than 6  

Probability is 21/36 = 7/12 or 58.333%

The minimum value of both sine and cosine is -1. However the angles that produce the minimum values are different, [tex]-\pi/2, \pi[/tex] for sine and cosine respectively.

The question is, can we find an angle for which the sum of sine and cosine of such angle is less than the sum of values at any other angle.

Here is a procedure, first take a derivative

[tex]\frac{d}{dx}(\sin x+\cos x)=\cos x -\sin x[/tex]

Then compute critical points of a derivative

[tex]\cos x-\sin x=0\implies x_1=\frac{\pi}{4},x_2=\frac{5\pi}{4}[/tex].

Then evaluate [tex]\sin x +\cos x[/tex] at [tex]x_1,x_2[/tex].

You will obtain global maxima and global minima [tex]\sqrt{2}, -\sqrt{2}[/tex] respectively.

The answer is [tex]-\sqrt{2}[/tex].

Hope this helps.

Answer:

i dont see the angles but heres how to solve for X

Step-by-step explanation:

9514 1404 393

Answer:

  61

Step-by-step explanation:

If there are 6 coins on each page, then the number of pages for 600 coins is ...

  (600 coins)/(6 coins/page) = 100 pages

__

If 39% are empty, then 100% -39% = 61% are filled.

The number of filled pages is ...

  61% × 100 = 61/100 × 100 = 61 . . . . pages filled

_____

Comment about percent

You can think of the percent symbol (%) and "per 100" (/100) as being interchangeable. 61% = 61/100

("Cent" is used to signify one of 100 parts. A cent is 1/100 of a dollar, for example. In land area, a cent is 1/100 of an acre. Then, "percent" can be thought of as "per cent" or "per 100 parts".)

Answer:

answer choice 2

Step-by-step explanation:

Step-by-step explanation:

you ran 40% more than yesterday ?

Answer:

The percentage increases