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kozerog [31]
3 years ago
7

320% expressed as a mixed number in simplest form

Mathematics
1 answer:
andrew11 [14]3 years ago
8 0

Answer:

3 20/100

Step-by-step explanation:

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The equation (x-6)^2/16 + (y+7)^2/4 = 1 represents an ellipse. What are the vertices of the ellipse?
topjm [15]

Answer:

The correct option is C.

Step-by-step explanation:

The given equation is

\frac{(x-6)^2}{16}+\frac{(y+7)^2}{4}= 1

It can be rewritten as

\frac{(x-6)^2}{4^2}+\frac{(y+7)^2}{2^2}= 1         .....(1)

The standard form of an ellipse is

\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}= 1           ....(2)

Where (h,k) is center of the ellipse.

If a>b, then the vertices of the ellipse are (h\pm a, k).

From (1) and (2) we get

h=6,k=-7,a=4,b=2

Since a>b, therefore the vertices of the ellipse are

(h+a, k)=(6+4,-7)\Rightarrow (10,-7)

(h-a, k)=(6-4,-7)\Rightarrow (2,-7)

The vertices of the given ellipse are (10, –7) and (2, –7). Therefore the correct option is C.

5 0
3 years ago
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At what rate do we have to invest $10000 for 5 years compounded monthly to obtain a final amount of $20000?
stepan [7]

Answer: :D

Step-by-step explanation:

7 0
3 years ago
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What is -3/2 - 7/4 + 1/8
Eddi Din [679]

Answer:

3/8

Step-by-step explanation:

-3/2 can change to -12/8

7/4 can change to 14/8

1/8 stays the same

-12/8 + 14/8 = 2/8 + 1/8 = 3/8

3 0
3 years ago
What percent of 70 is 28
solniwko [45]
Find 28/70 and then mult. the result by 100%.

Using a calculator, 28/70 = 0.4.  Multiplying this result by 100%, we get 40%.
3 0
3 years ago
Tangent is positive in quadrants I and IV only.<br>True or False
zhannawk [14.2K]

Answer:

The statement is false

Step-by-step explanation:

we know that

tan(x)=\frac{sin(x)}{cos(x)}

The tangent function will be positive when the sine function and the cosine function have the same sign

so

In the first quadrant the tangent function is positive

In the third quadrant the tangent function is positive

so

The statement is false

6 0
3 years ago
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