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bazaltina [42]
2 years ago
11

Find the slope of the line that passes through (10, 2) and (3, 7).

Mathematics
1 answer:
ollegr [7]2 years ago
6 0

Answer:

I'm going to be honest I don't know either but I'm only responding to get points for some of my question

Step-by-step explanation:

I'm going to be honest I don't know either but I'm only responding to get points for some of my question

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Compare the first and last verses of the song "Footprints."
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It helps express the song's central idea.

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What is a benefit of a drawing program over a compass and straightedge?
viva [34]
<span> using a drawing program is easier and faster</span>
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Step-by-step explanation:

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3 years ago
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At 7:00 a.m., Alicia pours a cup of tea whose temperature is 200°F. The tea starts
EastWind [94]

Answer:

Step-by-step explanation:

Here we have the temperature variation with time given in an exponential equation as follows;

Let the temperature at time x (in minutes) = y

Therefore, y = a × mˣ + b

Where:

b = Shift of the curve or the limit value of the decreasing exponential function as x → ∞

When y = 200, x = 0

Therefore. 200 = a × m⁰ + c = a + c

We note that c is the shift of the graph, the value upon which temperature increases = final temperature = 72°F

Hence a = 200 - 72 = 128°F

When y = 197, x = 2 minutes

Therefore, 197 = 128·m² + 72 =

m² = (197 - 72)/128 = 125/128

m = √(125/128) = 0.98821

Hence the exponential equation of cooling is presented in the following equation;

y = 128 × (0.98821)ˣ + 72

Therefore, y = 128(0.989)x + 72

When the temperature is 172°F we have;

170 = 128 × (0.989)ˣ + 72

∴ (0.989)ˣ = (170 - 72)/128

= 98/128

= 0.7656

log(0.989)ˣ = log(0.7656)

x·log(0.989) = log(0.7656)

x = log(0.7656)/log(0.989)

= 24.15 minutes

4 0
3 years ago
Over the past several years, the owner of a boutique on Aspen Avenue has observed a pattern in the amount of revenue for the sto
ra1l [238]

Answer:

Step-by-step explanation:

Given that the revenue reaches a maximum of about $ 59000 in April and a minimum of about $ 29000 in October. Suppose the months are numbered 1 through 12, where the months are numbered 1 through 12

Then minimum when x=10 and maximum when x = 4

Average = 44000 correspond to middle line

Amplitude = 59000-44000 = 15000

Hence the function roughly would be

f(x) = 15000sin (B(X-C))+44000

So we found out two values for A and D

To find values for B and C

The minimum of sine function corresponds to -pi/2 here it is 10 and maximum pi/2 here is 4.

Period = 12 months

So B = coefficient of X = \frac{12}{2\pi} \\=\frac{6}{\pi}

Because symmetrical about x=7 we have x-7 with a negative sign since min atx =10

f(x) =-15000sin \frac{\pi}{6} (x-7)+44000

6 0
3 years ago
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