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3 years ago

The temperature at 5pm is 20 degrees. The temperature at 10pm is -5 degrees. What is the equation

Mathematics

1 answer:

marusya05 [52]3 years ago

8 0

The equation is y=-5x + 20, x being the hours that go by after 5pm.

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Marilyn is having shelves installed to create a corner pantry. The length of one wall is 21 inches and the length of the other w

nekit [7.7K]

Marilyn is having shelves installed to create a corner pantry. The length of one wall is 21 inches and the length of the other wall is 25 inches. The contractor who is making the shelves, which are shaped like right triangles, needs to know the measure of the angle opposite the short side of the pantry, $\left[\begin{array}{ccc}m$

Question:

What is the measure of that angle? Round your answer to the nearest degree.

Answer:

40°

Step-by-step explanation:

$\left[\begin{array}{ccc}m$

4 0

3 years ago

Suppose that the concentration of a bacteria sample is 60 comma 000 bacteria per milliliter. If the concentration triples in 4

Elodia [21]

Answer:

1.932 days (or approximatelly 1 day, 22 hours and 22 minutes)

Step-by-step explanation:

The inicial concentration is 60,000, and this concentration triples every 4 days, so we can write the equation:

P = Po * r^t

where P is the final concentration after t periods of 4 days, Po is the inicial concentration and r is the ratio that the concentration increases (r = 3)

Then, we have that:

102000 = 60000 * 3^t

3^t = 102/60 = 1.7

log(3^t) = log(1.7)

t*log(3) = log(1.7)

t = log(1.7)/log(3) = 0.483

so the number of days that will take is 4*0.483 = 1.932 days (or approximatelly 1 day, 22 hours and 22 minutes)

3 0

3 years ago

The circumference of the ellipse approximate. Which equation is the result of solving the formula of the circumference for b?

Serhud [2]

Answer:

$b = \sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}}$

Step-by-step explanation:

Given - The circumference of the ellipse approximated by $C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }$ where 2a and 2b are the lengths of 2 the axes of the ellipse.

To find - Which equation is the result of solving the formula of the circumference for b ?

Solution -

$C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }\\\frac{C}{2\pi } = \sqrt{\frac{a^{2} + b^{2} }{2} }$

Squaring Both sides, we get

$[\frac{C}{2\pi }]^{2} = [\sqrt{\frac{a^{2} + b^{2} }{2} }]^{2} \\\frac{C^{2} }{(2\pi)^{2} } = {\frac{a^{2} + b^{2} }{2} }\\2\frac{C^{2} }{4(\pi)^{2} } = {{a^{2} + b^{2} }$

$\frac{C^{2} }{2(\pi )^{2} } = a^{2} + b^{2} \\\frac{C^{2} }{2(\pi )^{2} } - a^{2} = b^{2} \\\sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}} = b$

∴ we get

$b = \sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}}$

8 0

3 years ago

Which scatter plot would have a trend line with a negative y-intercept

bazaltina [42]

Answer:

Only Graph D

Step-by-step explanation:

A trend line indicates the general course (or average course) of the points on the graph. In Graph C, the general trend seems to intercept at a positive y-value. In Graph D, the trend will continue past the X-axis and intercept at the negative Y-axis.

8 0

4 years ago

What is the square root of pies

Mila [183]

The square root of pi is 1.77245385091 :)

3 0

3 years ago