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andrezito [222]
3 years ago
5

Multiply and simplify.

Mathematics
1 answer:
Shkiper50 [21]3 years ago
3 0
1)
2•5(3)√9y2 (3)√3y

2) 3xy

3) 2√3
----------
3 ( like a fraction )
Decimal : 1.15
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Triangle MNO is an equilateral triangle with sides measuring 16 square root of 3 units.
Olenka [21]
M.N and O are 60 degree. And you have to know that 30 60 and 90 triangle. if 30 degrees opposite is measuring A , 60 is A square root 3 and the 90's opposite is being 2A. So 90 degree opposite is 16 square root 3 and 30 degree is being 8 square root 3 and 60 is
8 \sqrt{3}  \times  \sqrt{3}  = 24
the height is 24 .
6 0
3 years ago
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Candy and Tim share a paper route. It takes Candy 85 min to deliver all the papers, and it takes Tim 65 min. How long does it ta
RSB [31]

Answer:

The time required to finish the work by both candy and Tim working together = 36.83 minute

Step-by-step explanation:

Time taken by the candy to finish the work T_{1}= 85 min

Time taken by the Tim to finish the work T_{2}  = 65 min

Thus the time taken by both to finish the work = \frac{T_1 \times\ T_2}{T_1 + T_2}

Put the values of T_{1} and T_{2}  we get ,

                    T_{} = \frac{85 \times\ 65}{85 + 65}

                    T_{} = \frac{221}{6}

                    T_{} = 36.83 minute

Thus the time required to finish the work by both candy and Tim working together = 36.83 minute

3 0
3 years ago
Find the amplitude and the equation of the midline of the periodic function.
Masja [62]

Answer:

Option B. Amplitude =3 midline is y =2.

Step-by-step explanation:

In the graph attached we have to find the amplitude and midline of the periodic function.

Amplitude of the periodic function = (Distance between two extreme points on y asxis)/2

=  (5-(-1))/2 = (5+1)/2 =6/2 =3.

Since amplitude of this function is 3 and by definition amplitude of any periodic function is the distance between the midline and the extreme point of wave on one side.

Therefore midline of the wave function is y=2 from which measurement of the amplitude is 3.

6 0
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Please help! It's due soon.
Sedbober [7]

Answer:

Because f(g(x)) = g(f(x)) = x, f and g <u>are </u> inverse functions.

Step-by-step explanation:

f(g(x)) = f(\frac{1}{4}\sqrt{x}) = 16(\frac{1}{4}\sqrt{x} ) ^{2} = 16(\frac{1}{16}x)=x

g(f(x)) = g (16x^{2}) = \frac{1}{4}\sqrt{16x^{2} } = \frac{1}{4}(4x) = x

6 0
3 years ago
A lumber company is making boards that are 2920.0 millimeters tall. If the boards are too long they must be trimmed, and if the
Effectus [21]

Answer:

The value of the test statistic is of 0.22.

Step-by-step explanation:

Our test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the expected mean, \sigma is the standard deviation(square root of the variance) and n is the size of the sample.

A lumber company is making boards that are 2920.0 millimeters tall.

This means that \mu = 2920.

A sample of 12 is made, and it is found that they have a mean of 2922.7 millimeters with a variance of 121.00.

This means that X = 2922.7, n = 12, \sigma = \sqrt{121} = 11. So

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{2922.7 - 2922}{\frac{11}{\sqrt{12}}}

t = 0.22

The value of the test statistic is of 0.22.

4 0
2 years ago
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