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Genrish500 [490]
3 years ago
9

Describe the behavior of the function p around its vertical asymptote at x = -9

Mathematics
1 answer:
nydimaria [60]3 years ago
5 0

Answer:

Step-by-step explanation:

The graph of P approaches -∞from the left and +∞ from the right of the asymptote

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I need help on #9. The help would be grateful appreciated.
ELEN [110]
Original Figure:
Length = 15
Width = 5
Height = 10
Volume = Length*Width*Height
Volume = 15*5*10
Volume = 750

New Figure
Length = 3
Width = 1
Height = 2
Each dimension has been divided by 5 (eg: 15/5 = 3)
Volume = Length*Width*Height
Volume = 3*1*2
Volume = 6

The old volume was 750 and it changes to 6
Notice how 750/6 = 125
Which can be rearranged to 750/125 = 6

Answer: if you divide the old volume by 125, then you get the new volume

Note: the new volume is 125 times smaller than the old volume
Put another way, the old volume is 125 times larger compared to the new volume

The fact that 125 = 5^3 is not a coincidence. If you divide each dimension by some number k, then you divide the volume by k^3

8 0
3 years ago
Lucia flips a coin three times. What is the probability she gets (Head, tail, Head) in that order?
Svetach [21]

Answer: \dfrac{1}{8}

Step-by-step explanation:

The total outcomes of tossing a coin = 2

The total number of possible outcomes of flipping coin three times =2 x 2 x 2 = 8

Favorable outcome= (Head, tail, Head) in order

i.e. Number of Favorable outcomes = 1

We know that , Probability = \dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

Therefore , The required probability =\dfrac{1}{8}

Hence , the probability she gets (Head, tail, Head) in that order=\dfrac{1}{8}

8 0
3 years ago
Triangle ABC is a right triangle.
Nastasia [14]

Answer:

mZA=50

mZB=28

mZC=90

value of x is 28 how i got it was 32-4.

5 0
2 years ago
A box is filled with 400-g packets of noodles. The box weighs 6 kg in total. Three packets are removed from the box. How much do
andrew-mc [135]
The box will weight 4.8 kilograms
4 0
3 years ago
Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 11 gallon of gas, to fill the go cart
RSB [31]

Answer:

This question is incomplete as no image was attached. Please find the missing image in the attachment. Also, this is the correct question:  

Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 1 gallon of gas, to fill the go cart tank. 1 gallon = 231 inches^3. How many full gas cans will it take to fill the go cart's gas tank?

Answer: 2 full gas cans

Step-by-step explanation:

From the image, we have the following dimensions:

length, l = 15.4 inches (in)

width, w = 10 in

height, h = 3 in.

The volume of the gas tank (which is rectangular) is given as:

Volume = length * width  * height = lwh\\\\Volume = 15.4 * 10 * 3 = 462 cubic inches = 462in^{3}

NB: The unit of volume is cubic units. In this example, it is cubic inches.

The gas can being used to fill the tank holds 1 gallon of gas = 231in^{3}

The total volume to be filled is 462in^{3} of gas.

So, it will take  \frac{462in^{3} }{231in^{3} } = 2  full gas cans to fill the go cart's gas tank.

Therefore, the answer is 2.

6 0
3 years ago
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