The number of stamps with penny in terms of x is 
<em><u>Solution:</u></em>
Given that,
Ryan has x stamps in his collection
Number of stamps of Ryan = x stamps
Let the stamps with penny be "a"
Ryan has 6 times as many stamps as penny
Therefore,
Number of stamps in Ryan = 6 times as many stamps as penny
Thus number of stamps with penny in terms of x is
The limit of the given function if 
is 64
<h3>Limit of a function</h3>
Given the following limit of a function expressed as;
We are to determine the value of the function
![\frac{1}{4} \lim_{x \to 0} [f(x)]^4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20%20%5Clim_%7Bx%20%5Cto%200%7D%20%5Bf%28x%29%5D%5E4)
This can also be expressed as
![\frac{1}{4} \lim_{x \to 0} [f(x)]^4\\ = \frac{1}{4}(4)^4 \\=1/4\times 256\\=64](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20%20%5Clim_%7Bx%20%5Cto%200%7D%20%5Bf%28x%29%5D%5E4%5C%5C%20%3D%20%5Cfrac%7B1%7D%7B4%7D%284%29%5E4%20%5C%5C%3D1%2F4%5Ctimes%20256%5C%5C%3D64)
Hence the limit of the given function if is 64
Learn more on limit of a function here: brainly.com/question/23935467
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Answer:
The three main types of geography are physical, environmental and human geography. There are other sub-branches of geography such as political geography, historical geography and religious geography.
Physical geography deals with the study of Earth and its structure. The landforms, continents, oceans and tectonic movements are a part of physical geography. The formation of rocks, weathering, forces of erosion, winds, ocean currents and rivers are all studied as a part of physical geography. Environment geography deals specifically with the study of the interaction of plants and animals with Earth. Human geography focuses on how human societies flourish with the help of natural resources. It deals with the study of the evolution of cultures and religious beliefs. Economic, cultural and political geography are sub-branches of human geography.
Step-by-step explanation:
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Answer:
The probability of eating pizza given that a new car is bought is 0.952
Step-by-step explanation:
This kind of problem can be solved using Baye’s theorem of conditional probability.
Let A be the event of eating pizza( same as buying pizza)
while B is the event of buying a new car
P(A) = 34% = 0.34
P(B) = 15% = 15/100 = 0.15
P(B|A) = 42% = 0.42
P(B|A) = P(BnA)/P(A)
0.42 = P(BnA)/0.34
P(B n A) = 0.34 * 0.42 = 0.1428
Now, we want to calculate P(A|B)
Mathematically;
P(A|B = P(A n B)/P(B)
Kindly know that P(A n B) = P(B n A) = 0.1428
So P(A|B) = 0.1428/0.15
P(A|B) = 0.952
