A mathematical hypothesis could be a guess at a _____ rule. variable function input

4,13,31,67 ___ What's the rule ?

notsponge [240]

The rule is every number x2 plus 5

6 0

4 years ago

Read 2 more answers

The western and eastern cell towers are 10 miles apart. From the

Arte-miy333 [17]

The distance of the cell phone from the western tower is 27.47 miles and from the eastern tower is 1.76 miles

Explanation:

The sketch is attached for the reference.

tan (10) = $\frac{NE}{WE}$

$0.176 = \frac{NE}{10} \\\\NE = 1.76$

tan (70) = $\frac{NW}{WE} \\\\$

$2.747 = \frac{NW}{10} \\\\NW = 27.47$

Therefore, the distance of the cell phone from the western tower is 27.47 miles and from the eastern tower is 1.76 miles

6 0

3 years ago

The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm.

Akimi4 [234]

Answer:

Error in the sphere's surface: 29 $cm^2$ and relative error in surface measure: 0.011

Error in the sphere's volume: 205 $cm^3$ and relative error in the volume measure: 0.017

Step-by-step explanation:

(a)

The measured length (l) of the circumference is 90 cm with an error of 0.5 cm, that is:

$l=2\,\pi\,R=90\,cm\\R=\frac{90}{2\,\pi} \,cm=\frac{45}{\pi} \,cm=14.3239\,\,cm$

and with regards to the error:

$dl=0.5 \, cm\\dl=2\,\pi\,dR\\dR=\frac{dl}{2\,\pi} =\frac{1}{4\,\pi} cm = 0.0796\,cm$

then when we use the formula for the sphere's surface, we get:

$S=4\,\pi\,R^2\\dS=4\,\pi\,2\,R\,(dR)\\dS=8\,\,\pi\.(\frac{45}{\pi} \,\,cm)\,(\frac{1}{4\pi}\,cm) =\frac{90}{\pi} \,\,cm^2\approx \,29\,cm^2$

Then the relative error in the surface is:

$\frac{dS}{S} =\frac{90/\pi}{4\,\pi\,R^2} =\frac{1}{90} =0.011$

(b)

Use the formula for the volume of the sphere:

$V=\frac{4\,\pi}{3} R^3\\dV=\frac{4\,\pi}{3}\,3\,R^2\,(dR)=4\,\pi\,R^2\,(\frac{1}{4\pi}) \,cm=(\frac{45}{\pi})^2 \,\,cm^3\approx 205\,\,cm^3$

Then the relative error in the volume is:

$\frac{dV}{V} =\frac{205}{12310.5} \approx 0.017$

3 0

3 years ago

I need help with these questions! My teacher didn’t teach me how to do these-

fgiga [73]

Answer:

Graph A has infinite solutions, Graph B has one solution, and Graph C has no solutions

Step-by-step explanation:

6 0

3 years ago

Some people advised that in very cold weather, you should keep the gas tank in your car more than half full. irene's car has 6

Angelina_Jolie [31]

Answer:

irene spent $23.45

Step-by-step explanation:

Cost of gas = $3.50 per gallon = 350 cents

Quantity of gas = 6.7 gallons

Amount spent = Cost * Quantity

Amount = 350 * 6.7

Amount = 2345 cents

Amount = $23.45

3 0

3 years ago