All real numbers less than 74.

Answers

Answer 1

Answer: X (less than sigh)74

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A cylindrical glass of soda has a mass of 700g. The glass itself has a mass of 80g. If the glass has a radius of 4cm and a height of 8cm, what is the density of the soda?

Answers

The density of the soda is 3.6 g/cm³

What is density?

Density is the measurement of how tightly a material is packed together. It is defined as the mass per unit volume.

Given that, a cylindrical glass of soda has a mass of 700g. The glass itself has a mass of 80g, the glass has a radius of 4 cm and a height of 8 cm,

We are asked to find the density of the soda,

Density = mass / volume

Volume = 2π×radius×height

Therefore,

Density = 700/2π×4×8 [we will not add the mass of glass because we need to find the density of soda only]

Density = 700/194.68

= 3.59

= 3.6

Hence, the density of the soda is 3.6 g/cm³

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So, I really need help with functional notation...If anyone could help me solve these problems, I'd be extremely grateful!!Given the function G ( x ) =sqrt 2x-1 , find the value G (1), G(0), G(5), G(-4).
Given the function F ( x ) = x^2 - 3 x + 1, find the value F (-3), F(0), F(1).
Given the function H ( x ) = 3 x - 1, find the value H (2).

Answers

$g(x)=√(2x-1)$
$g(1)=√(2(1)-1)=√(2-1)=√(1)=1$
$g(0)=√(2(0)-1)=√(0-1)=√(-1)=i$
$g(5)=√(2(5)-1)=√(10-1)=√(9)=3$
$g(-4)=√(2(-4)-1)=√(-8-1)=√(-7)=i√(7)$

$f(x)=x^(2)-3x+1$
$f(-3)=-3^(2)-3(-3)+1=9-(-9)+1=19$
$f(0)=0^(2)-3(0)+1=1$
$f(1)=1^(2)-3(1)+1=-1$

$h(x)=3x-1$
$h(2)=3(2)-1=5$

Radius = 11 cm.; Height = 10 cm.

Answers

Answer:

$3801.32 {cm}^(3)$

Step-by-step explanation:

$V=π {r}^(2) h \n =π· {11}^(2) ·10 \n ≈3801.3271$

Use the subway train schedule below to answer the question. Train ScheduleTrainArrives Every...Red line4 minutesBlue line5 minutesYellow line6 minutes All three trains just arrived at the station. When will they next all arrive at the station at the same time? They will all arrive at the station in minutes.

Answers

Answer:

60 minutes

Step-by-step explanation:

Given the schedule above :

Red line arrives every 4 minutes

Blue line arrives every 5 minutes

Yellow line arrives every 6 minutes

All three just arrives at the train station ; when next will they all arrive at the train station at the same time.

Obtain the lowest common multiple of each arrov time :

Lowest common multiple of 4, 5, 6

_2___4___5___6

_2___2___5___3

_3___1___ 5 __ 3

_5___1___ 5 __ 1

_____1 ___1 ___1

Hence, lowest common multiple :(2 * 2 * 3 * 5) = 60

Hemce, they all arrive at the train station at the same time after 60 minutes

At what times of the day between 10:00 A.M. and 5:00 P.M. do the chemistry presentation and the recycling presentation start at the same time? SCIENCE MUSEUM
-Show Schedule-
Chemistry-Every 10 minutes
Electricity-Every 20 minutes
Recycling-Every 6 minutes
Fossils-Every 45 minutes

The first showing for all shows is at 10:00 A.M.

Answers

Okay, Chemistry runs every 10 minutes and the Recycling runs every 6 minutes. In order to find what time they both start at the same time you must find the lowest common multiple (if you are using mathematical terminology). To do this the long but visual way you can write out each of the times and find the first ones that are the same.
Chemistry: 10:00 10:10 10:20 10:30
Recycling: 10:00 10:06 10:12 10:18 10:24 10:30
As you can see both Chemistry and Recycling both have a LCM of 10:30 which tells us that the time for which both Chemistry and Recycling start at the same time during the show is 10:30AM.

Final answer:

The chemistry and recycling presentations coincide every 30 minutes starting from 10:00 A.M. They will occur at the same time at 10:30 A.M., 11:00 A.M., 11:30 A.M., etc., until 5:00 P.M.

Explanation:

To solve this problem, we need to find the common multiple of 10 and 6, which is the frequency in minutes of the chemistry and recycling presentations respectively. The least common multiple (LCM) of 10 and 6 is 30. So, the chemistry and recycling presentations will coincide every 30 minutes.

Starting at 10:00 A.M., they would coincide at 10:30 A.M., 11:00 A.M., 11:30 A.M., and continue in this pattern until 5:00 P.M.