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Kryger [21]
3 years ago
12

The graph of function f is shown. Function g is represented by the equation. Look at the graph and picture!

Mathematics
1 answer:
lana66690 [7]3 years ago
6 0

Answer: B) different y intercepts; same end behavior

=======================================================

Explanation:

The graph shows the y intercept is 4 as this is where the green curve crosses the vertical y axis.

The y intercept of g(x) is 6 which can be found by plugging x = 0 into the g(x) function

g(x) = 4(1/4)^x + 2

g(0) = 4(1/4)^0 + 2

g(0) = 6

So we can see the y intercepts are different.

----------

However, the end behaviors are the same for each function. The left side of f(x) goes up forever to positive infinity. The same is true for g(x). You could use a graphing calculator or a table to see this. As x heads to negative infinity, y goes to positive infinity.

In terms of symbols, x \to -\infty, y \to \infty

----------

For the right side of f(x), it slowly approaches the horizontal asymptote y = 2. It never actually reaches this y value. The same happens with g(x). The portion 4(1/4)^x gets smaller but never gets to 0 so overall 4(1/4)^x+2 gets closer to 2. We can say that as x approaches infinity, y approaches 2.

In terms of symbols, x \to \infty, y \to 2

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Answer:

$966

Step-by-step explanation:

Sam's investment = 828

Paul's investment will be temporarily marked as x.

We need to divide 828 by 6 = 138 to find the result, x.

We multiply that by 7. 7 x 138 = 966.

We can write in 3 different ways:

828 : 966

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(or in fraction form, I don't have a fraction line.

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2 years ago
G) 145
miskamm [114]

Answer:

To convert binary into decimal, multiply each binary digit with a power of 2 corresponding to its position.

So for example 1010 would be 1·2³ + 0·2² + 1·2¹ + 0·2⁰ = 8+2 = 10 in decimal.

now you can calculate the answers yourself!

To convert decimal into binary, you can use the following approach:

Write down the answer from right to left

A. if your number is odd, write down a 1, if it is even, write a 0

B. divide the number by 2 and round down, ie. discard any decimals (e.g., 7 / 2 = 3)

C. repeat step A until your number is 0.

example:

18 -> write down 0

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4 0
3 years ago
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the answer is C or A. I believe

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Jack is using a hose to fill a cylinder-shaped dunk tank with water. If the dunk tank is six feet tall and has a diameter of six
nydimaria [60]

57 minute will take to fill the tank.

Solution:

Height of the cylinder = 6 ft

Diameter of the cylinder = 6 ft

Radius of the cylinder = 6 ÷ 2 = 3 ft

Volume of the cylinder = πr²h

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Volume of the cylinder = 169.56 cubic feet

Time taken to fill 3 cubic feet of water = 1 minute

Time taken to fill 169.56 cubic feet of water = \frac{169.56}{3}

                                                                         = 56.52 minute

                                                                         = 57 minute

Hence 57 minute will take to fill the tank.

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3 years ago
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Answer:

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