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Kisachek [45]
3 years ago
15

I need help please?!!!

Mathematics
2 answers:
tankabanditka [31]3 years ago
8 0

Answer:

a < - 28

Step-by-step explanation:

Given

a + 24 < - 4

Isolate a on the left side by subtracting 24 from both sides

a < - 28

malfutka [58]3 years ago
6 0

a<-28 I think. Can I have a Brainliest

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A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op
Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, \dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h

Volume of cone is given by

V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3

By differentiating with respect to time t, we get that

\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}

Now,  the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie \dfrac{dv}{dt}=-4\ in^3

and h = 2 inches deep.

-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

7 0
2 years ago
Tomas reparte 9 kg de mandarinas en mallas de tres cuartos de kilo cada una . ¿Cuantas mallas obtiene?
MrRissso [65]

Responder:

12

Explicación paso a paso:

Dado que:

Kilogramo total de mandarina = 9 kg

Tamaño de cada distribución = 3/4 de kilo

Número de mallas:

Kilogramo / tamaño total por distribución

9 kg ÷ 3/4 kg

9 * 4/3

= (9 * 4) / 3

= 36/3

= 12

7 0
2 years ago
PLEASE HELP ME!!!<br> I need help solving these 3 problem, I’ll give you brainliest. Thank you(:
Lyrx [107]
1. x > 3
_

2. x < -8/3
4 0
3 years ago
your school is planning to bring 193 students to watch the competition cheerleaders perform in hershey. there are eight drivers
Vinil7 [7]

Answer:

7 buses

Step-by-step explanation:

51 divided by 8 = 6 and you still have 3 students letf so you have to use one more bus

5 0
3 years ago
If angles A and B are consecutive interior angles, what is the measure of
n200080 [17]

Answer:

A. 105°

Step-by-step explanation:

Consecutive interior angles are angles that are supplementary, meaning they add up to 180°. If one angle is worth 75°, to find the other angle, we subtract 75 from 180 to get the angle measure.

  • 180-75
  • 105

Therefore, the answer is A.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

8 0
2 years ago
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