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mariarad [96]
2 years ago
10

The solutions for cos^2 x - cos 2x =0, over the domain 0 < x < 2π are

Mathematics
1 answer:
Reika [66]2 years ago
8 0
D because it helps better and explains better and makes most sense
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Estimate the line of best fit using two points on the line 100 90 80 70 (e, 80) 60 30 20 10 (2.20) 10 O A. y= 2x O B. y = 2x+10
nexus9112 [7]

Answer:

y = 10x

Step-by-step explanation:

Given

The attached plot

Required

The line of the best fit using (8,80) and (2,20)

We have:

(x_1,y_1) = (8,80)

(x_2,y_2) = (2,20)

Calculate slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{20 - 80}{2- 8}

m = \frac{-60}{-6}

m = 10

The equation is then calculated using:

y = m(x - x_1) + y_1

y = 10(x - 8) + 80

Expand

y = 10x - 80 + 80

y = 10x

5 0
3 years ago
Daniel can by a particular brand of juice in a 6 ounce bottle or a 10 ounce bottle the juice in a 10 ounce bottle contains 150 c
olasank [31]

Answer: There are 90 calories in a 6-ounce bottle.

Step-by-step explanation:

We assume that the quantity of juice in the bottle is directly proportional to the number of calories it contains.

Given: 10 ounces of juice has 150 calories.

i.e. 1 ounce of juice has \dfrac{150}{10} calories.

i.e. 1 ounce of juice has 15 calories.

Now, In 6 ounce of juice, the number if calories = 15 x 6 = 90 calories

Hence, there are 90 calories in a 6-ounce bottle.

7 0
2 years ago
In the year 2000, the United States had a population of about 281.4 million people; by 2010, the population had risen to about 3
IgorC [24]

Answer:

Part 1. 0.9259 % per year

Part 2. P = 281.4e^(0.009 259t); 338.6 million  

Step-by-step explanation:

Data:

P₀ = 281.4 million

P  = 308.7 million

Part 1. Growth rate

t = 2010 - 2000 = 10 yr

        P = P₀e^(rt)

308.7 = 281.4e^(10r)

e^(10r) = 1.0970

     10r = ln1.0970

        r = (ln1.0970)/10 = (0.092 59)/10 = 0.009 259  

        r = 0.9259 % per year

The 10-year continuous growth rate is 0.9259 % per year.

Part 2. Population model

The population model is

P = 281.4e^(0.009 259t)

where P is in millions and t is the number of years since 2000.

By 2020,

P = 281.4e^(0.009 259 × 20) = 281.4e^0.1852 = 281.4 × 1.203

P = 338.6 million

The estimated population in 2020 is 338.6 million.

8 0
3 years ago
Solve for X in the following equation: 9 = 10X + 3
aleksandrvk [35]

Answer:

x= 3/5

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Evaluate x(-y + z) for x = 5, y = 9, and z = 1.
NemiM [27]

Answer:

-20

Step-by-step explanation:

x(-y+z) [Switch in the values]

=5(-5+1) [Use distributive property and multiply]

=(-25)+5 [do the basic math]

=(-20) [final answer]

6 0
3 years ago
Read 2 more answers
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