Nicole has a board 88 in.long.she needs to to cut it into filt a space 80 3/8 in long

Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 29% each week. The following function represents

Orlov [11]

Step-by-step answer:

The base of the exponential function is 1.29 for 7 days, as in

f(x) = 86*(1.29)^x

The new rate for days can be calculated by dividing x by 7 (where x remains the number of weeks), namely

f(x) = 86*1.29^(x/7)

Using the law of exponents, b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x

we simplify by putting b=1.29, a=7 to get

f(x) = 86*(1.29^(1/7))^x

f(x) = 86*(1.037)^x since 1.29^(1/7) evaluates to 1.037

Rounding 1.037 to 1.04 we get a (VERY) approximate function

f(x) = 86 * (1.04^x)

1.04 is very approximate because 1.04^7 is supposed to get back 1.29, but it is actually 1.316, while 1.037^7 gives 1.2896, much closer to 1.29.

7 0

3 years ago

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Carolina paid $15.80 for 4 hamburgers.

jarptica [38.1K]

Answer:

The cost of one hamburger is $3.95.

Step-by-step explanation:

15.80/4=3.95

6 0

3 years ago

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Can someone explain end behaviors and answer this question?

Luda [366]

Answer:

End behaviors are basically what the function looks like as it ends.

as x approaches positive infinity (the sideways 8) its increasing.

for the picture i believe the answer is C.

Step-by-step explanation:

basically because when you look at where the negatives are they continue which means it’s -infinity and so as the function approaches -infinity it’s x —> positive infinity and same thing for as x approaches positive infinity.

5 0

2 years ago

The largest side of a triangle is six more units than the smallest side. The third side is twice the smallest side. If the perim

svetlana [45]

Equation: x + x + 6 = 2x = 25
smallest side is 4.75 units
largest size is 4.75 + 6 = 10.75 units
3rd side is 2(4.75)= 9.5 units

smallest side is x
largest size is x + 6
3rd side is 2x
-----------------------------------
4x + 6 = 25
-6 -6
4x = 19
 4 4

x = 4.75 is the smallest side

smallest side is 4.75 units
largest size is 4.75 + 6 = 10.75 units
3rd side is 2(4.75)= 9.5 units

7 0

3 years ago

n 2000 the population of a small village was 2,400. With an annual growth rate of approximately 1.68%, compounded continuously,

Nitella [24]

Answer:

The population would be 3358

Step-by-step explanation:

Since, exponential growth function if the growth is compound continuously,

$A = Pe^{rt}$