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alina1380 [7]
2 years ago
13

Is the relationship shown by the data linear?if it is,model the data with an equation

Mathematics
1 answer:
Kazeer [188]2 years ago
6 0
Yes, yes, and yes.
y=4x-5
y=x+6.5
y=-2x+?
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Please help, 50 points! :) <br>PDF attached below
Sveta_85 [38]

Answer:

See below

Step-by-step explanation:

Attachment 1 : (a) Remember that it mentions x is the years since 1900. That would mean that the table is a bit different. To create this " new table " simply subtract 1900 from the years provided, and substitute.

To create this equation we will need a regression calculator. The equation will be as follows.

y = 0.125873x - 7.11916 ( note that you can double check this equation be substituting points from the table in the attachment )

(b) 2025 - 1900 = 126 years,

y = 0.125873(125) - 7.11916 = $ 8.614965

Minimum Wage : $ 8.614965

Attachment 2 : The rest of the problems can be solved similarly...

(a) Quadratic Regression Equation : - 0.49311x² + 23.2798x + 996.029

(b) - 0.49311(20)² + 23.2798(20) + 996.029 = 1264.381 mg/cm³

Attachment 3 : (a) Exponential Regression : 9.08292(1.09965)ˣ

(b) 9.08292(1.09965)⁶⁰ = 2713.27743\dots ( About 2713 recommendations )

8 0
2 years ago
Find the volume of the sphere. Express your answer in terms of pi.
den301095 [7]

Answer:

Sphere Volume = (4/3) * PI radius^3

Sphere Volume = (4/3) * 3 * 3 * 3 * PI =

4 * 3 * 3 * PI =

36 PI

Answer is d 36 PI cubic feet

Step-by-step explanation:

4 0
2 years ago
Hola quiero que me ayuden a saber la respuesta de este problema...!Porfa ayuden...!ese es el problema y Porfa también pongan ope
mrs_skeptik [129]
Tienes que buscar el minimo multiplicator comun(?). perdon no se Como se llama xD. pero se juntan cada 15. dias
si la Ultima vez que coinsidieron fue 2 la siguiente Sera 17 de maayo
3 0
2 years ago
John's electricity bill costs $20.90 per month plus $1.23 per kilowatt hour. How many kilowatt hours can he use and keep his mon
Assoli18 [71]

Answer:

71.63 kilowatts hours

Step-by-step explanation:

We are told in the question:

John's electricity bill costs $20.90 per month plus $1.23 per kilowatt hour.

We are to find, How many kilowatt hours can he use and keep his monthly cost no more than $109.

Step 1

$109 - $20.90

= $88.1

$88.1 is the amount left to spend on killowatts of electricity per hour after removing the normal monthly electricity bill in a month

Step 2

$1.23 = 1kilowatts per hour

$88.1 = y kilowatts per hour

Cross Multiply

= $1.23 × y kilowatts per hour = $88.1 × 1 kilowatts per hour

y kilowatts per hour = $88.1 × 1 kilowatts per hour/ $1.23

= 71.62601626kilowatts hour.

Approximately = 71.63 kilowatts hour

Therefore, John can use 71.63 kilowatts per hour and keep his monthly cost no more than $109

7 0
3 years ago
Find the solution of the general equation of the differential equation:
soldi70 [24.7K]

Notice that the condition <em>x</em> ≠ 2<em>πk</em> for (presumably) integer <em>k</em> means cos(<em>x</em>) ≠ ±1, and in particular cos(<em>x</em>) ≠ 1 so that we could divide both sides by (1 - cos(<em>x</em>)) safely. Doing so lets us separate the variables:

(1 - cos(<em>x</em>)) <em>y'</em> - <em>y</em> sin(<em>x</em>) = 0

==>   (1 - cos(<em>x</em>)) <em>y'</em> = <em>y</em> sin(<em>x</em>)

==>   <em>y'</em>/<em>y</em> = sin(<em>x</em>)/(1 - cos(<em>x</em>))

==>   d<em>y</em>/<em>y</em> = sin(<em>x</em>)/(1 - cos(<em>x</em>)) d<em>x</em>

Integrate both sides and solve for <em>y</em>. On the right, substitute <em>u</em> = 1 - cos(<em>x</em>) and d<em>u</em> = sin(<em>x</em>) d<em>x</em>.

∫ d<em>y</em>/<em>y</em> = ∫ sin(<em>x</em>)/(1 - cos(<em>x</em>)) d<em>x</em>

∫ d<em>y</em>/<em>y</em> = ∫ d<em>u</em>/<em>u</em>

ln|<em>y</em>| = ln|<em>u</em>| + <em>C</em>

exp(ln|<em>y</em>|) = exp(ln|<em>u</em>| + <em>C </em>)

exp(ln|<em>y</em>|) = exp(ln|<em>u</em>|) exp(<em>C </em>)

<em>y</em> = <em>Cu</em>

<em>y</em> = <em>C</em> (1 - cos(<em>x</em>))

4 0
3 years ago
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