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Montano1993 [528]
3 years ago
11

David records the number of visitors to the snake exhibit each day for 6 days. His data are shown on the table.If admission is $

7 per person, how much money did the snake exhibit make over the 6 days​

Mathematics
1 answer:
miskamm [114]3 years ago
6 0

Answer:

28

Step-by-step explanation:

30+25=55

44+12=56

25+32=57

55+56+57=168

168÷6=28

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8<br> .<br> y = 3x - 2<br> m=<br> b=
yan [13]

Answer:

m is 3 since it's the slope and b is -2 since its the y-intercept

Step-by-step explanation:

the formula is y=mx+b so 3 is in the m spot and -2 is in the b spot.

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2 years ago
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2 7/9 times 2 1/5 in simplest form
hoa [83]

Answer: 3/4

Step-by-step explanation:

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3 years ago
How much string would you need to go around of a hat shaped like a cone if the radius is 4 inches? ( Use 3.14 for pi)
Paul [167]
The answer is b. 25.12
because we are finding the amount of rope to go around the circle, we are looking for the circumfrence of the circle, and the formula for the circumfrence of the circle is diameter(pi). because the radius of the circle is 4 inches, the diameter iss 8 inches because the diameter is 2(radius) and using multiplication, we can find the the circumfrence to be 25.12 inches
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3 years ago
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An object is heated to 100°. It is left to cool in a room that
stepladder [879]

Answer:

Step-by-step explanation:

Use Newton's Law of Cooling for this one.  It involves natural logs and being able to solve equations that require natural logs.  The formula is as follows:

T(t)=T_{1}+(T_{0}-T_{1})e^{kt} where

T(t) is the temp at time t

T₁ is the enviornmental temp

T₀ is the initial temp

k is the cooling constant which is different for everything, and

t is the time (here, it's in minutes)

If we are looking first for the temp after 20 minutes, we have to solve for the k value.  That's what we will do first, given the info that we have:

T(t) = 80

T₁ = 30

T₀ = 100

t = 5

k = ?

Filling in to solve for k:

80=30+(100-30)e^{5k} which simplifies to

50=70e^{5k} Divide both sides by 70 to get

\frac{50}{70}=e^{5k} and take the natural log of both sides:

ln(\frac{5}{7})=ln(e^{5k})

Since you're learning logs, I'm assuming that you know that a natural log and Euler's number, e, "undo" each other (just like taking the square root of something squared).  That gives us:

-.3364722366=5k

Divide both sides by 5 to get that

k = -.0672944473

Now that we have a value for k, we can sub that in to solve for T(20):

T(20)=30+(100-30)e^{-.0672944473(20)} which simplifies to

T(20)=30+70e^{-1.345888946}

On your calculator, raise e to that power and multiply that number by 70:

T(20)= 30 + 70(.260308205) and

T(20) = 30 + 18.22157435 so

T(20) = 48.2°

Now we can use that k value to find out when (time) the temp of the object cools to 35°:

T(t) = 35

T₁ = 30

T₀ = 100

k = -.0672944473

t = ?

35=30+100-30)e^{-.0672944473t} which simplifies to

5=70e^{-.0672944473t}

Now divide both sides by 70 and take the natural log of both sides:

ln(\frac{5}{70})=ln(e^{-.0672944473t}) which simplifies to

-2.63905733 = -.0672944473t

Divide to get

t = 39.2 minutes

3 0
3 years ago
Help!! math algebra 1
andre [41]

Answer:

-ab/1

Step-by-step explanation:

The multiplicative inverse of x/y is y/x, because when multiplied it equals 1.

x/y time y/x = xy/xy, which equals one.

In this case, -1/ab times -ab/1 = -1ab/-1ab, which equals one.

6 0
3 years ago
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