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Oduvanchick [21]
3 years ago
15

Which of the following is one branch or part of the government?

Mathematics
1 answer:
baherus [9]3 years ago
6 0

Answer:

Congress

Step-by-step explanation:

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Could i have help??? <br><br> There is 2 questions.
liberstina [14]
First one:
3x+5<23
3x<18 (subtract 5 from both sides)
x<6
So A: less than 6 cars

Second one:
3(x-4)+5(2x+1)
3x-12+10x+5 (distribute)
So the answer is C

Hope this helps
6 0
3 years ago
A cone-shaped paper drinking cup is to be made to hold 27 cm of water. Find the height h and radius r of the cup that will use t
andreyandreev [35.5K]

Answer:

  • r = 2.632 cm
  • h = 3.722 cm

Step-by-step explanation:

The formula for the volume of a cone of radius r and height h is ...

  V = (1/3)πr²h

Then r² can be found in terms of h and V as ...

  r² = 3V/(πh)

The lateral surface area of the cone is ...

  A = (1/2)(2πr)√(r² +h²) = πr√(r² +h²)

The square of the area is ...

  T = A² = π²r²(r² +h²)

Substituting for r² using the expression above, we have ...

  T = π²(3V/(πh))((3V/(πh) +h²) = 9V²/h² +3πVh

We want to find the minimum, which we can do by setting the derivative to zero.

  dT/dh = -18V²/h³ +3πV

This will be zero when ...

  3πV = 18V²/h³

  h³ = 6V/π . . . . . multiply by h³/(3πV)

For V = 27 cm³, the value of h that minimizes paper area is ...

  h = 3∛(6/π) ≈ 3.7221029

The corresponding value of r is ...

  r = √(3V/(πh)) = 9/√(π·h) ≈ 2.6319242

The optimal radius is 2.632 cm; the optimal height is 3.722 cm.

_____

The second derivative test applied to T finds that T is always concave upward, so the value we found is a minimum.

__

Interestingly, the ratio of h to r is √2.

8 0
3 years ago
Two functions are shown below.
Angelina_Jolie [31]

Answer: 3

Step-by-step explanation:

Given

f(x)=\dfrac{1}{3}3^x

g(x)=2x+4

For f(x) to be true, the domain is given by observing the graph of two i.e. x\in (-1.981,3.117). In this range g(x) is greater than f(x).

From the above domain largest integer that can satisfy the condition is 3.

3 0
3 years ago
What is the value of x? <br>enter your answer in the box.<br>x = _​
UNO [17]

Answer: x = 7

Step-by-step explanation:

24 = 2x + 10

24 - 10 = 2x + 10 - 10 (Subtract 10 from both sides)

14 = 2x

14/2 = 2x/2 (Divide both sides by 2)

7 = x

x = 7

8 0
3 years ago
write an equation in slope intercept form of the line that passes through (3,1) and has a y-intercept of-2
attashe74 [19]
your answer would be y = 1/5x -2
3 0
3 years ago
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