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Dovator [93]
3 years ago
9

Comment if you know the answer need help

Mathematics
1 answer:
Nonamiya [84]3 years ago
3 0

Answer:

True

Step-by-step explanation:

Laws of Exponents: if you are raising an exponent to a power, then you multiply the exponents. In this case you multiply 2 and -3, and -2 and 3, and you get that 10 raised to the -6 is equal to 10 raised to the -6

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Find theta between 0 and 2pi of the point (2,-4). Round to the nearest hundredth.
Irina18 [472]

check the picture below.


\bf (\stackrel{x}{2}~,~\stackrel{y}{-4})\qquad tan(\theta )=\cfrac{y}{x}\implies tan(\theta )=\cfrac{-4}{2}\implies tan(\theta )=-2\\\\\\\measuredangle \theta =tan^{-1}(-2)\implies \measuredangle \theta \approx -63.44^o\implies \measuredangle \theta \approx \stackrel{360^o-63.44^o}{296.56^o}


as you may already know, tan⁻¹ function has a range of (π/2, -π/2), and therefore it will give us the negative counterpart angle, however, the positive one we can get it by going the other way, 360 - θ.

3 0
4 years ago
Question 3 (Essay Worth 10 points)
lakkis [162]
PART A

To form the equation to represent total rent, we first need to establish the changing rate and the fixed cost. Changing rate is the fee for every one day the car is rented and fixed cost is the initial cost of the car rental.

To find the changing rate we divide the cost difference between two days by the difference of days

We have 
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$ 325 = 9 days

The changing rate is \frac{325-180}{9-4}= \frac{145}{5}=29

The table below shows the working out of the price for each day the car is rented. We work out that day 0 cost $63 which means this is the fixed cost

Hence, the equation of total cost is y=29x+63, where y is the total cost and x is the number of days

PART B:

Using the function notation means we will use f(x) instead of y, so the equation is

f(x)=29x+63

PART C:

To graph the function, we first need to set the scales on the x-axes and y-axes. 

The scale on x-axes could go up in ones but must start from 0

The scale on y-axes, since it is much bigger values, we can go up in 50

We then plot on the graph for each pair of days and cost. The plots should give us a straight line graph

One example of the graph is shown below



6 0
4 years ago
Analyze the graph below.
qwelly [4]

A) Look at the coordinates of the four dots:

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150/50 = 3

300 / 100 = 3

450/150 = 3

The ratio is the same for all of them and the first set is (0,0) so it is a direct variation graph.

B) The constant of proportionality is the ratio found above by dividing the X values by the Y values, which is 3.

7 0
3 years ago
Read 2 more answers
Use the six steps in the "Blueprint for Problem Solving" to solve the following word problem. You may recognize the solution
ch4aika [34]
Number is n
Three times the sum of a number and 4.
 
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8 0
3 years ago
Please Help! I don't want an exact answer, just a brief explanation of what the question actually means.
mel-nik [20]
If the students are hiking at 4 km/h, you'll need to use the schedule to find <em>the total number of hours they spent hiking</em> and multiply it by that rate. According to the activity column, how many time chunks are they hiking for, and how long does each of them last? You can use that information to help answer the question.
7 0
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