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blondinia [14]
3 years ago
10

LaTeX: \sqrt[]{36} 36 2) LaTeX: \sqrt[3]{-8} − 8 3 3) LaTeX: -\sqrt[]{100} − 100 4) LaTeX: \sqrt[3]{27} I'm sorry that's the bes

t i could do but i need an answer fast!!
Mathematics
1 answer:
Mamont248 [21]3 years ago
3 0

Given:

Consider the expression are

1) \sqrt{36}

2) \sqrt[3]{-8}

3) -\sqrt{100}

4) \sqrt[3]{27}

To find:

The simplified form of each expression.

Solution:

1. We have,

\sqrt{36}=\sqrt{6^2}

\sqrt{36}=6

Therefore, the value of this expression is 6.

2. We have,

\sqrt[3]{-8}=(-8)^{\frac{1}{3}}

\sqrt[3]{-8}=((-2)^3)^{\frac{1}{3}}

\sqrt[3]{-8}=(-2)^{\frac{3}{3}}

\sqrt[3]{-8}=-2

Therefore, the value of this expression is -2.

3. We have,

-\sqrt{100}=-\sqrt{10^2}

-\sqrt{100}=-10

Therefore, the value of this expression is -10.

4. We have,

\sqrt[3]{27}=(27)^{\frac{1}{3}}

\sqrt[3]{27}=(3^3)^{\frac{1}{3}}

\sqrt[3]{27}=(3)^{\frac{3}{3}}

\sqrt[3]{27}=3

Therefore, the value of this expression is 3.

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y = 2x - 5 Graph C

Step-by-step explanation:

y = mx + c

c is where the line intersect the Y axis.

<h2>Substitute x for 0:</h2>

y = 2x - 1

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This is graph B because it intersects at 0,-1.

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3 years ago
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aleksandrvk [35]

Answer:

Two  

Step-by-step explanation:

The table is saying that, if Sandra swam enough races, she should expect to get 20 firsts, 12 seconds, 6 thirds, and two no placements.

Her expected value of points will be the average (mean) of all the points awarded for each race.

The average is the total number of points divided by the number of races.

\begin{array}{cccl}\textbf{Points} &  & \textbf{Total}\\\textbf{Awarded} & \textbf{Frequency} & \textbf{Points}\\3 & 20 & 60\\2 & 12 & 24\\1 & 6 & 6\\0 & 2 & 0\\\textbf{TOTAL} & \mathbf{40} & \mathbf{90}\\\end{array}

The simulation says that, if she swam 40 races, she should expect to earn a total of 90 points.

\text{Average} = \dfrac{\text{Total points}}{\text{Number of races }} = \dfrac{\text{90}}{\text{40}} =\textbf{2.25 points/race}

She can't win a fraction of a point, so she can expect to win two points in her first race.

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3 years ago
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Deffense [45]

Answer:

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.

Step-by-step explanation:

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3 years ago
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Mariulka [41]

Answer:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center and any point that lie on the circle is equal to the radius

we have the points

(5,-4) and (-3,2)    

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute the values

r=\sqrt{(2+4)^{2}+(-3-5)^{2}}

r=\sqrt{(6)^{2}+(-8)^{2}}

r=\sqrt{100}\ units

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step 2

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we know that

The equation of a circle in standard form is equal to

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where

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we have

(h,k)=(5,-4)\\r=10\ units

substitute

(x-5)^2+(y+4)^2=10^2

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Tatiana [17]

Answer:

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3 0
3 years ago
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