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2 years ago

7

Set of all numbers greater or equal to -8 but less than 9

1 answer:

Sedaia [141]2 years ago

7 0

Answer:

Could you give more detail?

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Finding Domain.

Katarina [22]

$(f \circ g)(x)=(\sqrt{x-5})^2+2=x-5+2=x-3\\
D:x\in \mathbb{R}$

6 0

3 years ago

The population of bacteria in a culture doubles every 14 hours. How long will it take for

Snezhnost [94]

Answer: 22 hours 11 minutes

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

$P=P_o\cdot e^{(kt)}\\\\\text{Since the initial population is doubled in 14 hours, then:}\\2P_o=P_o\cdot e^{k\cdot 14}\\2=e^{14k}\\ln\ 2=ln\ e^{14k}\\ln\ 2=14k\\\\\dfrac{ln\ 2}{14}=k\\\\0.0495=k\\\\\\\text{Now that the k-value has been determined, we can find the time when the}\\\text{population is tripled:}\\3P_o=P_o\cdot e^{0.0495t}\\3=e^{0.0495t}\\ln\ 3=ln\ e^{0.0495t}\\ln\ 3=0.0495t\\\\\dfrac{ln\ 3}{0.0495}=5\\\\22.19=t\\\\22\ hrs +0.19\ hrs$

$22\ hours + \bigg[\dfrac{19}{100}=\dfrac{x}{60}\bigg]\\\\22\ hours + 11\ minutes$

4 0

2 years ago

Find the area and the perimeter of the shaded region

lyudmila [28]

Answer:

area: 41.04 cm² ; perimeter 35.8 cm

Step-by-step explanation:

Perimeter of shaded area = 1/4 perimeter of circle + line AC = ¼ * 3.14 * 2 * 12 + √(12² + 12²) = 18.84 + 12√2 cm = 35.8 cm

Area of Shaded Region = 1/4 area of circle - area of triangle = ¼ * 3.14 * 12² - ½ . 12 * 12

= (¼ * 3.14 - ½) * 12² = 41.04 cm²

8 0

3 years ago

you're 495 miles from home and you are driving toward home at an average of 45mph. How long will it take to drive home if you ma

LenaWriter [7]

11 hours because I did the math

7 0

3 years ago

Will someone please help me here

frez [133]

Hey!

You have to divide the total amount she has by the surface area.

Surface area = 2(wl+hl+hw)

That gives you:

$(15 + 18 + 30) \times 2 \\ 63 \times 2 = 126$

The surface area is 126 ft. Now divide the total amount she has by the surface area.

$1,134 \div 126 = 9$

<em>That means she can cover 9 boxes</em>

$\framebox{She can cover 9 boxes}$

8 0

3 years ago