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3 years ago

Plz help asap thank you for helping

Mathematics

1 answer:

mars1129 [50]3 years ago

7 0

2b+25c+12 is a simplified version of that

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it takes mara 50 minutes to walk to her friends house 1 2/3 miles away. what us her walking pace in miles per hour

jeyben [28]

Find the unit rate
Then u will know

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3 years ago

Need help on this question thank you

Ivahew [28]

Answer:

Step-by-step explanation:

8 0

4 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y

lubasha [3.4K]

First find a parameterization for the curve of intersection.

Given the equation of a cylinder, a natural choice for a parameterization would be one utilizing cylindrical coordinates. Here,

$16x^2+y^2=16\implies x^2+\left(\dfrac y4\right)^2=1$

which suggests we could use

$\begin{cases}x(t)=\cos t\\y(t)=4\sin t\\z(t)\end{cases}$

with $0\le t\le2\pi$ , and we get $z(t)$ from the equation of the plane,

$x+y+z=12\implies z(t)=12-x(t)-y(t)=12-\cos t-4\sin t$

Now use the arc length formula:

$\displaystyle\ell=\int_0^{2\pi}\sqrt{\left(\dfrac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dz}{\mathrm dt}\right)^2}\,\mathrm dt$

$\displaystyle\ell=\int_0^{2\pi}\sqrt{\sin^2t+16\cos^2t+(\sin t-4\cos t)^2}\,\mathrm dt$

$\displaystyle\ell=\sqrt2\int_0^{2\pi}\sqrt{\sin^2t-4\cos t\sin t+16\cos^2t}\,\mathrm dt\approx\boxed{24.0878}$

4 0

4 years ago

Some doctors recommend that men drink 3 liters of water every day . There are approximately 29.6 milliliters in 1 fluid ounce. W

shusha [124]

Answer:

$\boxed{\text{101 fl oz}}$

Step-by-step explanation:

Step 1. Convert litres to millilitres

$\text{V} = \text{3 L} \times \dfrac{\text{1000 mL}}{\text{1 L}} = \text{3000 mL}$

Step 2.Convert millilitres to fluid ounces

$\text{v} = \text{3000 mL} \times \dfrac{\text{1 fl oz}}{\text{29.6 mL}} = \boxed{\textbf{101 fl oz}}$

8 0

3 years ago

What are the odds of picking 26 consecutive bingo balls out of a bag and not drawing any Bs, each letter of bingo has 15 balls,

Bezzdna [24]

Answer:

0.00069104 approximately.

Step-by-step explanation:

You must first calculate the probability of not taking a ball with the letter B.

It would be the sum of the probabilities of taking I, N, G and O.

The probability of getting the letter I would be 15/75, that is 1/5. The same would be for the letter N, G and O. Since the 4 probabilities are equal.

Therefore it would remain (1/5) * 4 = 4/5.

Then the probability of not drawing a letter B would be 4/5.

However, in the case that it does not go out for 26 balls and that the ball that was taken out is not taken into account. It would be the multiplication of all events, that is:

(60/75) * (59/74) * (58/73) * (57/72) * ... * (35/50)

The result would be 0.00069104 approximately.

8 0

4 years ago