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Alecsey [184]
3 years ago
15

X is at most 3o correct answer x<30 or x is less than 30

Mathematics
1 answer:
Alina [70]3 years ago
6 0
X<span> ≤30
hope this helped</span>
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Please help!! You want to distribute 7 candies to 4 kids. If every kid must receive at least one candy, in how many ways can you
Andrei [34K]

Answer: 20ways

Step-by-step explanation:

Number of candies = 7

Number of kids = 4

Since each kid must receive at least one candy ;

Therefore number of candies left to ration is

7 - 4 = 3 candies ; among 4 kids.

To share 'n' identical object among 'r' number of individuals can be expressed in the form :

[n+(r-1)Cr-1]

n = 3 ; r = 4

[3+(4-1)C4-1] = 6C3

Recall: nCr = n! / (n-r)!r!

6C3 = 6!/(6-3)!3!

6C3 = 6!/3!3!

= (6 * 5 * 4) / (3 * 2 * 1)

= 120 / 6

= 20ways

4 0
3 years ago
A solid right pyramid has a square base. The length of the base edge is4 cm and the height of the pyramid is 3 cm period what is
Illusion [34]

Answer:

The volume of this pyramid is 16 cm³.

Step-by-step explanation:

The volume V of a solid pyramid can be given as:

\displaystyle V = \frac{1}{3} \cdot b \cdot h,

where

  • b is the area of the base of the pyramid, and
  • h is the height of the pyramid.

Here's how to solve this problem with calculus without using the previous formula.

Imaging cutting the square-base pyramid in half, horizontally. Each horizontal cross-section will be a square. The lengths of these squares' sides range from 0 cm to 3 cm. This length will be also be proportional to the vertical distance from the vertice of the pyramid.

Refer to the sketch attached. Let the vertical distance from the vertice be x cm.

  • At the vertice of this pyramid, x = 0 and the length of a side of the square is also 0.
  • At the base of this pyramid, x = 3 and the length of a side of the square is 4 cm.

As a result, the length of a side of the square will be

\displaystyle \frac{x}{3}\times 4 = \frac{4}{3}x.

The area of the square will be

\displaystyle \left(\frac{4}{3}x\right)^{2} = \frac{16}{9}x^{2}.

Integrate the area of the horizontal cross-section with respect to x

  • from the top of the pyramid, where x = 0,
  • to the base, where x = 3.

\displaystyle \begin{aligned}\int_{0}^{3}{\frac{16}{9}x^{2}\cdot dx} &= \frac{16}{9}\int_{0}^{3}{x^{2}\cdot dx}\\ &= \frac{16}{9}\cdot \left(\frac{1}{3}\int_{0}^{3}{3x^{2}\cdot dx}\right) & \text{Set up the integrand for power rule}\\ &= \left.\frac{16}{9}\times \frac{1}{3}\cdot x^{3}\right|^{3}_{0}\\ &= \frac{16}{27}\times 3^{3} \\ &= 16\end{aligned}.

In other words, the volume of this pyramid is 16 cubic centimeters.

5 0
3 years ago
Solve for f:<br> f/−3.2 =0.01<br><br> f=?
I am Lyosha [343]

Answer:

f= -.032

I hope this helps!

3 0
3 years ago
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PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ PLZ PLZ HELPPPPPPPP<br> ILL MARK BRAINLEST
Morgarella [4.7K]

Answer:

The third option: Account A balance is linear. Account B balance is nonlinear. Account B will have a greater balance in Year 3.

Step-by-step explanation:

HOPE THIS HELPS!

3 0
3 years ago
Read 2 more answers
4/5 equivalent fraction?
Grace [21]
4/5 = 8/10 = 12/15 = 16/20 = 20/25
Hope it  helps
6 0
3 years ago
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