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dlinn [17]
3 years ago
11

2/3, 24%, 0.61 least to greasiest

Mathematics
1 answer:
Semmy [17]3 years ago
4 0
24% .61 2/3 two thirds is .66 24% is .24 and .61 is .61
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Find the area of the surface correct to four decimal places by expressing the area in terms of a single integral and using your
love history [14]

If we substitute x=r\cos\theta and y=r\sin\theta, we get r^2=x^2+y^2, so that

z=\cos(x^2+y^2)=\cos(r^2)

which is independent of \theta, which in turn means the surface can be treated like a surface of revolution.

Consider the function f(t)=\cos(t^2) defined over 0\le t\le1. Revolve the curve C described by f(t) about the line t=0. The area of the surface obtained in this way is then

\displaystyle2\pi\int_C\mathrm dS=2\pi\int_0^1\sqrt{1+f'(t)^2}\,\mathrm dt

=\displaystyle2\pi\int_0^1\sqrt{1+(-2t\sin(t^2))^2}\,\mathrm dt

=\displaystyle2\pi\int_0^1\sqrt{1+4t^2\sin^2(t^2)}\,\mathrm dt\approx7.4144

4 0
2 years ago
Solve the equation. 2x + 12 = 2(x + 6)
Vilka [71]

Answer:

Infinitely many solutions

Step-by-step explanation:

Step 1- Distribute into the parenthesis.

2x+12= 2(x+6)

2x+12= (2)x+(2)6

Step 2- Multiply

2x+12= 2x+12

Since they are equal, they are infinite.

5 0
2 years ago
under a dilation, the point (2,6) is moved to (6,18) what is the scale factor of the dilation? enter your answer in the box​
Anestetic [448]
<h2>3</h2>

Step-by-step explanation:

The equation of line passing through the two points is \frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}

When substituted,the equation becomes \frac{y-6}{x-2}=\frac{18-6}{6-2}

which when simplified is y=3\times x

The line clearly passes through origin.

The distance between two points is \sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}

Distance between origin and (2,6) is \sqrt{40}.

Distance between origin and (6,18) is \sqrt{360}

Scale factor is  \frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}

So,scale factor is \frac{\sqrt{360} }{\sqrt{40} }

which when simplified becomes 3.

6 0
2 years ago
Three friends, Maria, Sarah, and Ruth, spend $356.50, $365.50, and $356.60,
Likurg_2 [28]

Answer:

Im guessing ruth...

Step-by-step explanation:

not very clear on question

7 0
2 years ago
1 poir
podryga [215]

The given options are:

  • (A)x+y = 20
  • (B)7 apps and 14 movies
  • (C)x-y= 20
  • (D)y=-x+ 20
  • (E)8 apps and 12 movies
  • (F)xy= 20

Answer:

  • (A)x+y = 20
  • (D)y=-x+ 20
  • (E)8 apps and 12 movies

Step-by-step explanation:

If Elizabeth has a combined total of 20 apps and movies.

Where:

Number of apps=x

Number of Movies =y

Then:

Their total,

  • x+y=20 (Option A)

If we subtract x from both sides

x+y-x=-x+20

  • y=-x+20 (Option D)

In Option E

8 apps and 12 movies  add up to 20. Therefore, this could also apply.

4 0
3 years ago
Read 2 more answers
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