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Ostrovityanka [42]
3 years ago
10

F(x) = x -x-42solve for x​

Mathematics
1 answer:
marissa [1.9K]3 years ago
3 0

Step-by-step explanation:

x-x-42=0 =x^2-42=0=x^2=0-42=x^2=42

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You’ve bought a cylindrical thermos 8 in. high with a base 6 in. across. How much coffee can you put in the thermos?
lana66690 [7]

Answer:

3.706 liters

Step-by-step explanation:

Hello

assuming that these measures correspond to the internal measures of the thermos,

we can calculate the volume as, the volume of a cylinder, which is given by

V=\pi r^{2} h

where r is the radius of the base, and h the height

also

Diameter=2r

r=Diameter/2

Step 1

let

h=8 in

base = diameter = 6 inch

r=diameter/2

r=6/2 inch,r=3 inch

Step 2

Put the values into the equation

V=\pi r^{2} h\\V=\pi (3in)^{2} (8 in)\\V=\pi *72 \ in^{3} \\\\V=72\pi\ in^{3} \\\\

Step 3

Now, the unit (cubic inches) is not an usual unit for measuring coffee, let´s convert cubic inches into liters by knowing

1 inch = 2.54 cm

1 litro =  1000 cubic centimeters

if\ 1\ inch\ = 2.54\ cm\\(1\ inch)^{3} =(2.54\ cm)^{3}\\\\1\ inch^{3}=16.3870\ cm^{3}

1 cubic inch = 16.3870 cubic centimeters

1\ cubic\ inch\ = 16.3870\ cubic\ centimeters\\\\\\72\pi =x?\ cubic\ centimeters\\\\x=\frac{72\pi \cubic \ inch\ \*16.3870 }{1\ cubic\ inch} \\\\x=3706.65\ cubic\ centimeters

Step 4

Finally, convert cubic centimeters into liters1000\ cubic\ centimeters =1\ liter \\\\\\3706.65\ cubic\ centimeters = x?\ liters\ centimeters\\\\x=\frac{3706.65 \cubic \ centimeters\ \*1 liter}{1000 cubic centimeters} \\\\x=3706.65\ cubic\ centimeters\\x=3.706 Liters

I can put 3.706 liters in the thermos

Have a good day

4 0
4 years ago
In ________ research, the objective is to gather preliminary information that will help define the problem and suggest hypothese
Vanyuwa [196]

Answer:

Exploratory or Formulative research

Step-by-step explanation:

Generally, Exploratory or Formulative research is a type of research that considers all designs for a problem/study and chooses the best from all that has been considered. This is ensured by perusing literature backings that are available, first hand information from those with direct impact on the study and putting to use different theoretical techniques to ensure the best is gotten from such research.

6 0
3 years ago
How to solve 2y(3y+17)=12
Nataly [62]
Distribute 2y to both 3y and 17
• 6y+34= 12
then you subtract 34 on both sides and get:
• 6y=-22
Finally you divide 6y on both sides and end up with:
y= -11/3 as a fraction

Hope this helped!
7 0
3 years ago
What is the measure of pQs​
Alex777 [14]
The measure of PQS is D) 49° because 35° + 14° = 49°.
6 0
3 years ago
Can someone help me? This is my 4th time trying to get help. Thanks! :)
Anni [7]

Answer:

Step-by-step explanation:

A. the rate in which people fill up the hall in the first for minutes is 12

B. 95 people

C. the rate in which people fill up the hall between 10 and 15 minutes is 19

D. it was greater

4 0
3 years ago
Read 2 more answers
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