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Anastasy [175]
3 years ago
11

Plz help I need these done ASAP

Mathematics
2 answers:
Olegator [25]3 years ago
7 0

Answer: a > 4

<u>Step-by-step explanation:</u>

-5 + a > -1

<u>+5      </u>    <u>+5 </u>

       a > 4

Graph:    4 o-----------→

Interval Notation: (4, ∞)

Ugo [173]3 years ago
3 0

Answer:

<h2>a > 4</h2>

Step-by-step explanation:

-5+a>-1\qquad\text{add 5 to both sides}\\\\-5+5+a>-1+5\\\\a>4

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Q 5 please help me to resolve
liraira [26]

Put 15 where n is, then do the arithmetic.

b(n) = 6n . . . . . . . . . . . the formula for the number of bulbs for n chandeliers

b(15) = 6·15 = 90

The appropriate choice is ...

... 90 light bulbs

7 0
3 years ago
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Select the interval where f is negative.
sineoko [7]

Answer: I guess B

Step-by-step explanation:

5 0
3 years ago
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A. In two or more complete sentences, explain how to find the exact value of sec 13pi/6 including quadrant location
Sergio039 [100]

Answer:

A. The exact value of sec(13π/6) = 2√3/3

B. The exact value of cot(7π/4) = -1

Step-by-step explanation:

* Lets study the four quadrants

# First quadrant the measure of all angles is between 0 and π/2

  the measure of any angle is α  

∴ All the angles are acute  

∴ All the trigonometry functions of α are positive

# Second quadrant the measure of all angles is between π/2 and π

  the measure of any angle is π - α

∴ All the angles are obtuse

∴ The value of sin(π - α) only is positive

  sin(π - α) = sin(α)  ⇒ csc(π - α) = cscα

  cos(π - α) = -cos(α)   ⇒ sec(π - α) = -sec(α)

  tan(π - α) = -tan(α)   ⇒ cot(π - α) = -cot(α)

# Third quadrant the measure of all angles is between π and 3π/2

  the measure of any angle is π + α  

∴ All the angles are reflex  

∴ The value of tan(π + α) only is positive

  sin(π + α) = -sin(α)  ⇒ csc(π + α) = -cscα

  cos(π + α) = -cos(α)   ⇒ sec(π + α) = -sec(α)

  tan(π + α) = tan(α)   ⇒ cot(π + α) = cot(α)

# Fourth quadrant the measure of all angles is between 3π/2 and 2π  

  the measure of any angle is 2π - α  

∴ All the angles are reflex

∴ The value of cos(2π - α) only is positive

  sin(2π - α) = -sin(α)  ⇒ csc(2π - α) = -cscα

  cos(2π - α) = cos(α)   ⇒ sec(2π - α) = sec(α)

  tan(2π - α) = -tan(α)   ⇒ cot(2π - α) = -cot(α)

* Now lets solve the problem

A. The measure of the angle 13π/6 = π/6 + 2π

- The means the terminal of the angle made a complete turn (2π) + π/6

∴ The angle of measure 13π/6 lies in the first quadrant

∴ sec(13π/6) = sec(π/6)

∵ sec(x) = 1/cos(x)

∵ cos(π/6) = √3/2

∴ sec(π/6) = 2/√3 ⇒ multiply up and down by √3

∴ sec(π/6) = 2/√3 × √3/√3 = 2√3/3

* The exact value of sec(13π/6) = 2√3/3

B. The measure of the angle 7π/4 = 2π - π/4

- The means the terminal of the angle lies in the fourth quadrant

∴ The angle of measure 7π/4 lies in the fourth quadrant

- In the fourth quadrant cos only is positive

∴ cot(2π - α) = -cot(α)

∴ cot(7π/4) = -cot(π/4)

∵ cot(x) = 1/tan(x)

∵ tan(π/4) = 1

∴ cot(π/4) = 1

∴ cot(7π/4) = -1

* The exact value of cot(7π/4) = -1

5 0
3 years ago
The number of potato chips in a bag is normally distributed with a mean of 74 and and a standard deviation of 4. Approximately w
aleksklad [387]

Answer:

99.8%  is the percent of bags contain between 62 and 86 potato chips.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 74

Standard Deviation, σ = 4

We are given that the distribution of number of potato chips in a bag is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P( bags contain between 62 and 86 potato chips)

P(62 \leq x \leq 86) = P(\displaystyle\frac{62 - 74}{4} \leq z \leq \displaystyle\frac{86-74}{4}) = P(-3 \leq z \leq 3)\\\\= P(z \leq 3) - P(z < -3)\\= 0.999 - 0.001 = 0.998 = 99.8\%

P(62 \leq x \leq 86) = 99.8\%

7 0
3 years ago
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Aimee is flying a plane for the first time! The air traffic controller tells her to fly at 500 m above the ground or higher. Wri
Aleonysh [2.5K]
H > =  500...(thats greater then or equal to)
7 0
3 years ago
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