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Nesterboy [21]
3 years ago
13

If f[6} = x ^ -2x , find: f [6} =

Mathematics
1 answer:
ASHA 777 [7]3 years ago
7 0

Answer:

1/ 6^12

Step-by-step explanation:

f[x} = x ^ (-2x)

f(6) = 6 ^ (-2*6)

      = 6 ^ -12

   We know the negative exponent moves it to the denominator

     = 1/ 6^12

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Huw has a maths test. the second question is:
xeze [42]

Huw's answer of 9 days is incorrect because more guests would finish the food in less time so the number of days for 30 guests is less than 6 days.

The number of days that the food can last 30 guests is 4 days.

<h3>How long will Seaview Hotel's food feed 30 guests?</h3>

More guests would eat the food faster which means that it would be finished in less days than the 6 days used by 20 guests.

To find the days the food would last 30 guests, use the inverse proportion formula:
= (Number of guests x Number of days food lasts for guests) / New number of guests

= (20 x 6) / 30

= 4 days

Full question is:

The only food provided for guests at Seaview Hotel is breakfast. The hotel has enough food to make breakfast for 20 guests for 6 days. How long would the food last 30 guests? You may assume each guest eats the same amount of food for breakfast.

Without working out the correct answer, explain why Huw’s answer of 9 days is incorrect.

Find out more on inverse proportion at brainly.com/question/1266676.

#SPJ1

5 0
2 years ago
Which graph correctly represents the relationship between arc length and the measure of the corresponding central angle on a cir
user100 [1]

Any smooth curve connecting two points is called an arc. The correct option is c.

<h3>What is the Length of an Arc?</h3>

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}

where

θ is the angle, that arc creates at the centre of the circle in degree.

If the central angle has a measure of π/2(90°), then the length of the arc will be one-fourth of the total, while if the measure of the angle is π(180°), then the length of the arc will be half of the total.

Similarly, if the measure of the angle is 3π/4, then the length of the arc will be three-fourth of the total, while if the measure of the angle is 2π(360°), then the length of the arc will be 2πr.

Hence, the correct option is c.

Learn more about the Length of an Arc:

brainly.com/question/1577784

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5 0
2 years ago
What is 2,871,000,000 in scientific notation
Nimfa-mama [501]

Answer:

2.871*10^9

Step-by-step explanation:

add a decimal point at the end of the number ( 2,871,000,000.) then count how many places it takes to move the decimal point between the first and second number (2.8) then write the rest of the numbers higher than "0" after, giving you the 2.871

to show that the number written is in scientific notation you add 10 to the power of the amount of times you moved the decimal place. In this case, because the decimal point was moved a total of 9 times, it would be 10 to the 9th power (10^9).

3 0
3 years ago
Read 2 more answers
Stan has made a $125.30 monthly deposit into an account that pays 1.5% interest, compounded monthly, for 35 years. He would now
MissTica
The future value of a monthly deposit A=125.30 at annual interest i=0.015 per annum for n=35 years compounded monthly is given by
FV=A((1+i/12)^(12*n)-1)/(i/12)
=125.30(1+0.015/12)^(12*35)/(0.015/12)
=$69156.05

The annuity formula is given by
Payment = r(PV)/(1-(1+r)^(-n))
where
r=interest rate per period = 0.015/12
PV= $69156.05
n=20*12=240
so
Payment = (0.015/12)<span>69156.05/(1-(1+0.015/12)^(-240))
= $333.71  per month.</span>
7 0
4 years ago
Read 2 more answers
The state of Maryland charges a 6% sales tax on most merchandise sold. you purchase a new shirt for 25% how much do you pay?
Yuri [45]
If your question is 25 dollars for the shirt then the ansewer is $26.5 hope this helps.
3 0
3 years ago
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