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3 years ago

Teil on ronulacr6) Cassie bought 5 bags of chips for $4.90. What is her cost per bag?

Mathematics

2 answers:

Oliga [24]3 years ago

8 0

$4.90 divided by 5 is .98. The answer is 98 cents each

Murrr4er [49]3 years ago

3 0

Each bag of chips costs 98¢

To solve this problem, you need to divide the total price by the number of bags bought to find the price of each bag. (In this case, $4.90 divided by 5, which equals 98¢). So each bag of chips costs 98¢.

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Transform each polar equation to an equation in rectangular coordinates and identify its shape.

Gemiola [76]

Answer:

(a) $x ^ 2 + y ^ 2 = 6 ^ 2$

(b) $(x-1) ^ 2 + y ^ 2 = 1$

Step-by-step explanation:

Remember that to convert from polar to rectangular coordinates you must use the relationship:

$x = rcos(\theta)$

$y = rsin(\theta)$

$x ^ 2 + y ^ 2 = r ^ 2$

In this case we have the following equations in polar coordinates.

(a) $r = 6$ .

Note that in this equation the radius is constant, it does not depend on $\theta$ .

As $r ^ 2 = x ^ 2 + y ^ 2$

Then we replace the value of the radius in the equation and we have to::

$x ^ 2 + y ^ 2 = 6 ^ 2$

Then $r = 6$ in rectangular coordinates is a circle centered on the point (0,0) and with a constant radius $r = 6$ .

(b) $r = 2cos(\theta)$

The radius is not constant, the radius depends on $\theta$ .

To convert this equation to rectangular coordinates we write

$r = 2cos(\theta)$ Multiply both sides of the equality by r.

$r ^ 2 = 2 *rcos(\theta)$ remember that $x = rcos(\theta)$ , then:

$r ^ 2 = 2x$ remember that $x ^ 2 + y ^ 2 = r ^ 2$ , then:

$x ^ 2 + y ^ 2 = 2x$ Simplify the expression.

$x ^ 2 -2x + y ^ 2 = 0$ Complete the square.

$x ^ 2 -2x + 1 + y ^ 2 = 1$

$(x-1) ^ 2 + y ^ 2 = 1$ It is a circle centered on the point (1, 0) and with radio $r=1$

6 0

3 years ago

How many solutions can be found in this equation 4x - 8 - 4x = 9?

svetlana [45]

4x-8-4x=9

First combine like terms on the left side of the equation

-8=9
This would be no solutions because -8 does not equal 9

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3 years ago

What is the difference between standard deviation and standard error

BARSIC [14]

Answer:

Step-by-step explanation:

The standard deviation (SD) can be defined as a entity that measures the amount of dispersion for a set of data from the mean, while the standard error of the mean (SEM) measures the magnitude of deviation of the sample mean of the data from the true population mean.

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3 years ago

Read 2 more answers

If g(x) = f(4x), which statement is true?

wolverine [178]

Answer:

graph f(4x) grows by an exponential factor of 4 times that of graph g(x)

Step-by-step explanation:

i dont see answer choices, so I don't know if that is right, but I hope it is!

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3 years ago

A nested decision structure can be used to test more than one condition. question 13 options:

enot [183]

The answer for this question is A. True.

I hope that this helped!

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3 years ago

Teil on ronulacr6) Cassie bought 5 bags of chips for $4.90. What is her cost per bag?​

Teil on ronulacr6) Cassie bought 5 bags of chips for $4.90. What is her cost per bag?