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Pie
3 years ago
9

Write an

Mathematics
1 answer:
vitfil [10]3 years ago
5 0
Hopefully, this helps

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Evaluate the expression (3.2)².​
Ludmilka [50]

Answer:

36

Step-by-step explanation:

3*2=6

6^2=6*6

=36

7 0
2 years ago
Plz with steps .. it's very hard can anyone plz
liubo4ka [24]

Answer:

Step-by-step explanation:

\displaystyle\  \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\frac{0}{0} \\\\we\ can \ use\ Hospital's\ Rule\\\\\\f(x)=\sqrt{2x}-\sqrt{3x-a}  \qquad  f'(x)=\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}} \\\\g(x)=\sqrt{x} -\sqrt{a}  \qquad g'(x)=\dfrac{1}{2\sqrt{x}} \\\\\\\displaystyle\  \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\lim_{n \to a} \dfrac{\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}}  }{\dfrac{1}{2\sqrt{x}} }\\\\

\displaystyle \lim_{n \to a} \dfrac{2\sqrt{x} }{\sqrt{2x}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}}  =\lim_{n \to a} \dfrac{2 }{\sqrt{2}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3*\sqrt{a} }{\sqrt{2a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3}{\sqrt{2}}\\\\\\=-\ \dfrac{1}{\sqrt{2}}\\\\

7 0
2 years ago
a semicircular flower bed has a diameter of 3m. What is the area of the flower bed. Give answer to one decimal place
MAVERICK [17]
You use the cricle fourmla (πr sqaure). and you will get 7.065
7 0
3 years ago
Find the mean, the median, and all modes for the data in the given frequency distribution. (Round your answers to one decimal pl
kvasek [131]

Answer: Mean = 7.8

              Median = 9

             Mode = 2,9

Step-by-step explanation: <u>Mean</u> is the average value of a data set. Mean from a frequency table is calculated as:

E(X)=\frac{2(10)+3(9)+9(10)+11(7)+12(3)+15(4)+16(3)}{10+9+10+7+3+4+3}

E(X) = 7.8

Mean for the given frequency distribtuion is 7.8.

<u>Median</u> is the central term of a set of numbers. Median in a frequency table is calculated as:

1) Find total number, n:

n = 10 + 9 + 10 + 7 + 3 + 4 + 3 = 46

2) Find position, using: \frac{n+1}{2}

\frac{n+1}{2}=\frac{47}{2} = 23.5

Median is in the 23.5th position.

3) Find the position by adding frequencies: for this frequency distribution, 23.5th position is 9

Median for this frequency distribution is 9.

<u>Mode</u>  is the number or value associated with the highest frequency.

In this frequency distribution, 2 and 9 points happen 10 times. So, mode is 2 and 9.

Mode for this distribution is 2 and 9.

7 0
2 years ago
What is the slope of the line that passes through the points (2,0) and (1,0)? Write
ICE Princess25 [194]

Answer:

m=0

Step-by-step explanation:

The slope of a line can be found using:

m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }

Let's call (2,0) our "2" coordinate, and (1,0) our "1" coordinate.

Coordinates are written as: (x,y)

Therefore, our x2 is 2 and y2 is 0. Our x1 is 1 and y2 is 0.

Substitute these values into the formula .

m=\frac{0-0}{2-1}

m=\frac{0}{1}

m=0

The slope of the line is 0

3 0
3 years ago
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