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Alexus [3.1K]
3 years ago
8

1) Respond to the following questions.

Mathematics
1 answer:
Lana71 [14]3 years ago
7 0
Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax
You might be interested in
What is the unit rate $1.79 for 15 oz rounded to nearest tenth
ser-zykov [4K]

Answer:

$0.119... per oz, or 0.1

Step-by-step explanation:

$.179 ÷ 15 = 0.119...

Now round to the nearest tenth, and you get 0.1.

8 0
3 years ago
Solve for x on the interval 0≤x&lt;2pi<br><br> cos(3x)=1/2
Ede4ka [16]

We will see that the solution in the given interval is: x = 0.349 radians.

<h3>How to solve equations with the variable in the argument of a cosine?</h3>

We want to solve:

cos(3*x) = 1/2

Here we must use the inverse cosine function, Acos(x). Remember that:

cos(Acos(x)) = Acos(cos(x)) = x.

If we apply that in both sides, we get:

Acos( cos(3x) ) = Acos(1/2)

3*x = Acos(1/2)

x = Acos(1/2)/3 = 0.349

So x is equal to 0.349 radians, which belongs to the given interval.

If you want to learn more about trigonometry, you can read:

brainly.com/question/8120556

7 0
2 years ago
Roland is purchasing pottery supplies for his pottery class. He buys a portable pottery wheel for $382 modeling clay is $12, and
tatuchka [14]
To find the total cost of Roland's purchases, you will add $382 plus $12 plus $16.14 together to find the total spent.

$410.14.

Next will be to calculate the new price based on the sales tax rate. To do this you will multiply the cost by 1.0825. This includes everything you paid and the sales tax

410.14 x 1.0825 = $443.98

Roland's total price was $443.98.
8 0
3 years ago
Make a tree diagram to show sample space. Then select the total number of outcomes.
Margaret [11]

Answer:

B. 10

Step-by-step explanation:

The first choice has 2 options: square or circle

The second choice has 5 options: orange, blue, yellow, red, or green.

2 x 5 = 10 total outcomes

7 0
3 years ago
Juan bought 4 pounds of chocolate
Andru [333]

Answer:

Step-by-step explanation:

This is a system of equations.  The 2 equations are:

4c + 2p = 16

2c + 3p = 12

Let's get rid of the p's first.  Do this by multiplying the first equation by -3 and the second equation by 2 to get a new system that looks like this:

-12x - 6p = -48

 4c + 6p =  24

Now add to get

-8c = -24 and

c = 3

That means that chocolate is $3 per pound.  Now sub that back in to either one of the original equations to get the price for peanuts:

4(3) + 2p = 16 and

12 + 2p = 16 and

2p = 4 so

p = 2

The price for peanuts is $2 per pound.

6 0
3 years ago
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