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3 years ago

What is r squared+7r+6=0

Mathematics

1 answer:

Firlakuza [10]3 years ago

7 0

Answer:

r = -6, -1

Step-by-step explanation:

r^2 + 7r+6 =0

Factor

What 2 numbers multiply to 6 and add to 7

6*1 =6

6+1 =7

(r+6) (r+1) =0

Using the zero product property

r+6 =0 r+1 =0

r = -6 r=-1

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What number could be added to 0.40 mL for the level pf precision to be 0.01mL?

Mila [183]

Answer:

-0.39mL

Step-by-step explanation:

Let x be the number.

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3 years ago

The Range Rule of Thumb roughly estimates the standard deviation of a data set as _______.

maw [93]

Answer:

Option A)

$s = \dfrac{\text{Range}}{4}$

Step-by-step explanation:

Range Rule of Thumb

The range Rule of thumb states that the range is four times the standard deviation.
The standard deviation is a measure of dispersion.

$\text{Range = Maximum - Minimum}\\\text{s: Standard Deviation}\\\text{Range rule of Thumb:}\\\text{Range} = 4\times s\\\\s = \dfrac{\text{Maximum - Minimum}}{4}$

Thus, the correct answer is

$s = \dfrac{\text{Range}}{4}$

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3 years ago

Big Ben, the famous clock tower in London, has a minute hand that is 14 feet long. How far does the tip of the minute hand of Bi

ycow [4]

Answer:

36.65 ft (2 dp)

Step-by-step explanation:

Angles around a point sum to 360°
1 hour = 60 minutes

Therefore, the minute hand of a clock travels 360° in 60 minutes

Number of degrees the minute hand will travel in 25 minutes:

$\sf =\dfrac{360}{60} \times 25=150^{\circ}$

To find how far the tip of the minute hand travels in 25 minutes, use the Arc Length formula:

$\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)$

$\textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}$

Given:

r = length of minute hand = 14 ft
$\theta$ = 150°

$\begin{aligned}\implies \textsf{Arc length} &=2 \pi (14)\left(\dfrac{150^{\circ}}{360^{\circ}}\right)\\ & = 28\pi \left(\dfrac{5}{12}\right)\\ & = \dfrac{35}{3} \pi \\ & = 36.65\: \sf ft\:(2\:dp)\end{aligned}$

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2 years ago