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3 years ago

Is 8/6 greater than 4/3

Mathematics

1 answer:

Deffense [45]3 years ago

4 0

Answer:

no, they are equal

Step-by-step explanation:

8/6=1.3

4/3=1.3

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Find the vertices and locate the foci for the hyperbola whose equation is given. 49x2 - 100y2 = 4900

Fiesta28 [93]

<h2>Answer:</h2>

A hyperbola is the set of all points in a plane such that the difference of whose distances from two distinct fixed points called foci is a positive constant. In this problem, we have the following equation:

$49x^2-100y^2=4900$

What if we divide the whole equation by $49 \times 100=4900$ ? Well the result is:

$\frac{1}{4900}(49x^2-100y^2=4900) \\ \\ \frac{49x^2}{4900}-\frac{100y^2}{4900}=\frac{4900}{4900} \\ \\ \frac{x^2}{100}-\frac{y^2}{49}=1 \\ \\ \boxed{\frac{x^2}{10^2}-\frac{y^2}{7^2}=1}$

The standard form of the equation of the hyperbola given that the vertex lies on the origin is:

$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$

SO THE VERTICES ARE:

$\boxed{(a,0)=(10,0) \ and \ (-a,0)=(-10,0)}$

Calculating the foci:

$We \ know \ that \ foci \ are: \\ \\ (-c,0) \ and \ (c.0) \\ \\ Also: \\ \\ c=\sqrt{a^2+b^2} \\ \\ c=\sqrt{100+49} \therefore c=\sqrt{149}$

SO THE FOCI ARE:

$\boxed{(-\sqrt{149},0) \ and \ (\sqrt{149},0)}$

5 0

3 years ago

A team of five kids is randomly chosen from a class of 20 students. An outcome of the selection process is the set of five kids

vichka [17]

Answer:

$S= 4$

Step-by-step explanation:

Given

$Total = 20$

$Selection = 5$

Required

Determine the size of sample space

Represent this with S

S is calculated by dividing the total number of kids by the number of selection.

$S = \frac{Total}{Selection}$

$S = \frac{20}{5}$

$S= 4$

<em>Hence, the sample space has a size of 4</em>

7 0

3 years ago

al made a treehouse last summer. He started by making a model. the model included a window with height 1/3 inch. and width 1/6 i

IrinaK [193]

Answer:

Step-by-step explanation:

4 0

3 years ago

Convert (CAB) 16 to decimal<br><br>need help asap

Mrrafil [7]

Remark

So CAB is a base 16 number? I hope that's correct. I'll treat it that way. If I am incorrect, please leave a note and I'll modify my answer accordingly.

Expand

A = 10 in decimal

B = 11 in decimal

C = 12 in decimal

B is the "units" value in decimal it is 11

A is the "tens" value or 12 place and in decimal you would get 12 * 10 = 120

C is the "hundreds" value or 12^2 place and in decimal you would get 144*12 =1728

Now you need to all all three results together. 11 + 120 + 1728 = 1850

Answer

(CAB)_16 = 1850 in decimal

6 0

3 years ago

Read 2 more answers

oki i need help with this problems! it doesn't matter if you do it for me or help me (please help I need this due tomorrow and i

stich3 [128]

Answer:

Here:

Step-by-step explanation:

You choose 2,4,6,8,10 as your solution points, or in other words the numbers you with substitute in for x.

The equation is:

y= 1/2x+1

So what we would do is take one number from the list above (2,4,6,8.10) and put it in for are.

So, Thats how you do it, I attached a completed version of your paper below!

7 0

3 years ago