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VikaD [51]
3 years ago
12

The Arkansas State

Mathematics
1 answer:
klio [65]3 years ago
7 0
The Arkansas state capitol building is a smaller version of the us capitol building the us capitol is 752 ft long and is 288 ft tall the Arkansas state capitol is 564 ft long what is the height of the Arkansas state capitol
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Verizon [17]

Answer:

you have it done? what do you need

Step-by-step explanation:

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3 years ago
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Hot air balloon travels 18 miles in 3 hour. At this rate how many miles will the hot air balloon travel in 3/4 hour?
seropon [69]
You can figure out how many miles per hour it travels by dividing 18/3. This gives us the answer of 6. 3/4 = 0.75 so we can multiply 6 * 0.75 to get 4.5 as our final answer. It will travel 4.5 miles in 3/4 of an hour.
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3 years ago
Tell whether the sequence is arithmetic. If the sequence is arithmetic, write a function rule to represent it.
fredd [130]

Answer:

A. no

Step-by-step explanation:

I hope it help............

8 0
2 years ago
Use Lagrange multipliers to find the maximum and minimum values of (i) f(x,y)-81x^2+y^2 subject to the constraint 4x^2+y^2=9. (i
sp2606 [1]

i. The Lagrangian is

L(x,y,\lambda)=81x^2+y^2+\lambda(4x^2+y^2-9)

with critical points whenever

L_x=162x+8\lambda x=0\implies2x(81+4\lambda)=0\implies x=0\text{ or }\lambda=-\dfrac{81}4

L_y=2y+2\lambda y=0\implies2y(1+\lambda)=0\implies y=0\text{ or }\lambda=-1

L_\lambda=4x^2+y^2-9=0

  • If x=0, then L_\lambda=0\implies y=\pm3.
  • If y=0, then L_\lambda=0\implies x=\pm\dfrac32.
  • Either value of \lambda found above requires that either x=0 or y=0, so we get the same critical points as in the previous two cases.

We have f(0,-3)=9, f(0,3)=9, f\left(-\dfrac32,0\right)=\dfrac{729}4=182.25, and f\left(\dfrac32,0\right)=\dfrac{729}4, so f has a minimum value of 9 and a maximum value of 182.25.

ii. The Lagrangian is

L(x,y,z,\lambda)=y^2-10z+\lambda(x^2+y^2+z^2-36)

with critical points whenever

L_x=2\lambda x=0\implies x=0 (because we assume \lambda\neq0)

L_y=2y+2\lambda y=0\implies 2y(1+\lambda)=0\implies y=0\text{ or }\lambda=-1

L_z=-10+2\lambda z=0\implies z=\dfrac5\lambda

L_\lambda=x^2+y^2+z^2-36=0

  • If x=y=0, then L_\lambda=0\implies z=\pm6.
  • If \lambda=-1, then z=-5, and with x=0 we have L_\lambda=0\implies y=\pm\sqrt{11}.

We have f(0,0,-6)=60, f(0,0,6)=-60, f(0,-\sqrt{11},-5)=61, and f(0,\sqrt{11},-5)=61. So f has a maximum value of 61 and a minimum value of -60.

5 0
3 years ago
Three national news networks are trying to estimate what percentage of
kolezko [41]

Answer:

  • <u>Option C. The Network C sample.</u>

Explanation:

The variability of a sample may be described by using some common statistics like the variance and the standard deviation.

The variance and the standard deviation measure the difference between the values of the data  and the mean. The variance is the average square of those differences or deviations. The standard deviation is the square root of the variance.

Thus, both variance and deviations, being an average of the differences of the data from the mean contain the number of data in the denominator of the equation.

That lets you know to conclude that the larger the number of data (the larger the sample) the smaller the variance and the standard deviation, this is the lower the variability of the data.

Hence, Network C, which has the greatest number of voters sampled (1,800) is likely to have the least variability.

3 0
3 years ago
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