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3 years ago

What is the y-intercept of y = –3x + 6?

Mathematics

2 answers:

tankabanditka [31]3 years ago

5 0

The Answer Is -3(x-2)

nekit [7.7K]3 years ago

3 0

(0,6) is the y intercept !

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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

Which expression is equivalent to 20?

DaniilM [7]

Answer:

C. 4 X (3 + 8 – 6)

Step-by-step explanation:

3 + 8 = 11

11 - 6 = 5

5 x 4 = 20

8 0

3 years ago

Read 2 more answers

the value 3 is an upper bound for the zeros of the function shown below. f(x)=-3x^3+20x^2-36x+16 True or Flase

Stels [109]

The answer to this question is false

8 0

4 years ago

Read 2 more answers

NEED ASAP . 19 MINUTES LEFT GIVNG BRAINLIEST PLZZZZ

Evgen [1.6K]

Answer:

Step-by-step explanation:

so sorry if im too late...

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3 years ago

Verdadero o falso a) al reducir a comun denominador las fracciones se sustituyen por otras equivalentes

alexgriva [62]

Answer:

Verdadero

Step-by-step explanation:

Verdadero, cuando cambias dos fracciones para darles un denominador comun la fraccion entera se sustituye para otra que tiene el mismo valor numerico que la original. Por ejemplo tenemos una fraccion 2/6 en la cual tenemos que cambiarle el denominador a uno comun con otra fraccion que es 18. Entonces sustituyemos la fraccion por la siguente fraccion 6/18. Esta nueva fraccion es equivalente a la original y los dos tienen el mismo valor numerico...

2 / 6 = 0.333

6 / 18 = 0.333

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3 years ago