Find cos 0, where is the angle shown.Give an exact value, not a decimal approximation.

Answer: a. To find the slope and y-intercept of the linear equation, we need to write it in slope-intercept form (y = mx + b). To do this, we can add 10y to both sides and divide both sides by 10 to get:

y = -559x/10 - 2701/10

y = -55.9x - 270.1

The slope of the equation is -55.9, and the y-intercept is -270.1

b. The slope of a linear equation is the rate of change of the dependent variable (y) with respect to the independent variable (x). In this context, the slope of -55.9 means that for every year after 2012, the number of people employed as registered nurses is expected to decrease by 55.9 thousand.

c. The y-intercept of a linear equation is the point where the line crosses the y-axis. In this context, the y-intercept of -270.1 means that in 2012, there were expected to be 270.1 thousand people employed as registered nurses.

Step-by-step explanation:

In the above question, trigonometric function values are given

We need to find the values of trigonometric function lying within the range of 0 and 360 degrees

The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

1) Sin θ = \(\frac{1}{2}\)

θ = 30°

2) Sin θ = 1

θ = 90°

3) Cos θ  = \(\frac{\sqrt{2} }{2}\)

θ = 45°

4) tan θ = 5

θ = 78.69 + 180n, where n is an integer

5) cos θ = \(\frac{-\sqrt{3} }{2}\)

θ = 150 + 360n or 210 +360n

6) sin θ = -0.2

θ = 191.53 + 360n

7) Cos θ  = \(\frac{-1}{3}\)

θ = 109.47 + 360n

8) tan θ = \(\sqrt{3}\)

θ = 60°

9) tan θ = -4

θ = 104.03 + 360n

Hence, this is the final answer

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Answer:

C

Step-by-step explanation:

Perimeter : total length of sides

Perimeter of the rectangle

= r + s + r + s

=2r + 2s

Answer:

C - 2r + 2s

Step-by-step explanation:

l = Length

b = Breadth

Perimeter of a rectangle = 2 x ( l + b )

Use distributive property and it will be-

( 2 x l ) x ( 2 x b )

Hope this helped!! <33

Answer:

x = 49

Step-by-step explanation:

The sum of angles is 360

(x + 84) + 80 + 3x = 360

x + 3x = 360 - 84 - 80

4x = 196

x = 196/4 = 49

The predicted population in the year 2030 is 10 people

From the question, we have the following parameters that can be used in our computation:

Population function, P(t)= 15е⁻⁰.⁰¹²⁺

Also from the question, we have

The variable t represents the number of years since 2020

This means that the value of t in 2030 is

t = 2030 - 2020

t = 10

So, we have

P(10)= 15е⁻⁰.⁰¹² ˣ ¹⁰

Evaluate the above products

P(10)= 15е⁻⁰.¹²

Evaluate the exponents

P(10)= 13.30

Approximate the above expression

P(10) = 13

This means that the number of people is 13

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Answer:

420 + 69 = 489

Step-by-step explanation:

HOPE THIS HELPS

brainliest pls :)

Answer:

489

Step-by-step explanation:

420 + 69 = 489

Answer:

oh god what da heck is this math :')

Step-by-step explanation:

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Final cost of the item is $19.55

Step-by-step explanation:

Expression representing the final cost of an item with original price = $p and discount = 15% will be,

Final cost = (p - 0.15p)

If the original price p = $23

By substituting p = 23 in the expression given,

Final cost after discount = 23 - (0.15)23

                                         = 23 - 3.45

                                         = $19.55

Therefore, final cost of the item is $19.55

Answer:

p = 8

Step-by-step explanation:

Divide -5 to both sides

-5p = -40

5p = 40

p = 8

So p = 8

Answer:

1:4

Step-by-step explanation:

Answer:

1 : 4

Step-by-step explanation:

5:20

Divide each side by 5

5/5 : 20/5

1 : 4

The period of the frequency factor b that is given in the diagram above would be = 0.2 sec.

The frequency of a water wave is defined as the number of times the wave completes a cycle within a given period of time. While the period is the time it takes for the completion of a cycle.

The dot the represents the frequency factor b is the green dot on the wave table. Therefore the period as traced from the graph= 0.2 sec.

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Your analysis is correct. Here's a summary:

If it is sunny, then it is 80° Fahrenheit. (Original statement)

Converse: If it is 80° Fahrenheit, then it is sunny. (Valid)

If it is 80° Fahrenheit, then it is sunny. (Original statement)

Converse: If it is sunny, then it is 80° Fahrenheit. (Valid)

If it is not sunny, then it is not 80° Fahrenheit. (Original statement)

Converse: If it is not 80° Fahrenheit, then it is not sunny. (Invalid)

Counterexample: A day that is not 80° Fahrenheit and not sunny (e.g., 70° and cloudy).

If it is 80° Fahrenheit, then it is sunny. (Original statement)

Converse: If it is sunny, then it is 80° Fahrenheit. (Invalid)

Counterexample: A day that is 80° Fahrenheit and cloudy.

In cases 1 and 2, the original statements and their converses are valid because the relationship between "sunny" and "80° Fahrenheit" holds in both directions. However, in cases 3 and 4, the converses are invalid because there are counterexamples where the second part of the statement (either "not 80° Fahrenheit" or "cloudy") does not necessarily imply the first part ("not sunny" or "80° Fahrenheit").

Answer:

$118.22

Step-by-step explanation:

Subtract $130.00-$8.00= $122.00

Then subtract $122.00- $3.78 = $118.22

Answer:$118.22

Step-by-step explanation:

the tennis shoes costs 8 dollar less than 130 dollars

Tennis shoes cost=130-8=122

Tennis shoes cost $122

I need $3.78

My money presently=122-3.78

My money presently=$118.22

Answer:

x = -30

Step-by-step explanation:

-24 = 6 + x

we'll subtract 6 to get x alone:

-24 - 6 = x

-30 = x

____________

then to check, we plug it back in

-24 = 6 + (-30)

-24 = -24 true! so -30 is right :)

Answer:

-30

Step-by-step explanation:

You can backtrack to find x:

-24-6=-36

-30+6=-24

Answer:

20

Step-by-step explanation:

diameter=√(12²+16²)=√[4²(3²+4²)]=4√(9+16)=4√25=4×5=20

Answer:

3.3333333333333333333333333333333

Step-by-step explanation:

10 divide it by 3 and get your answer on what amount and fraction of liter each person will get.

Note:

Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.

-kiniwih426

Answer:

x = 690

Step-by-step explanation:

Let´s call   x the number of coconuts at night ( at the original pile )

Then the first sailor took  x/3  threw 1 to monkeys, therefore, number 1 sailor used x/3  + 1  and left    

x  - ( x/3 - 1 )   = (3x - x - 3 )/3  = ( 2x - 3 )/3

Evaluating the second sailor

He took [ ( 2x - 3 )/3]/3 ] threw 1 to monkeys

[ ( 2x - 3 )/3]/3 ]  +  1   =  ( 2x + 24 ) / 9

The third  took

[( 2x + 24 ) / 9] /3      and threw 1 to monkeys

{ [( 2x + 24 ) / 9] /3  } + 1   = (2x + 51 )/27

Finally they divided the pile each one of them got 7 and threw 1 to monkeys

The resulting equation is:

( 2x - 3 )/3  +   ( 2x + 24 ) / 9   + (2x + 51 )/27  + 21 + 1  = x

Solving for x

18x - 27 + 6x + 72 + 2x + 51 + 594  = 27x

-x =  - 690

x = 690

Answer:

45

Step-by-step explanation:

Answer: 60 kilometers

Step-by-step explanation:

Plug in your hours:

y = 15(3) + 15

y = 45 + 15

y = 60 kilometers

Hope this helps!

Answer:

its  b

Step-by-step explanation:

if you look at the chart

study=3

if it was 3% then it would smaller

but its 30% because it  is bigger than 3 %

therefore its b

your welcome

Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:

10x + 5y ≥ 500 (minimum 500 units of vitamins)

5x + 10y ≥ 600 (minimum 600 units of minerals)

15x + 15y ≥ 1200 (minimum 1200 calories)

We want to minimize the cost, which is given by:

0.5x + 0.4y

This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:

10x + 5y = 500

5x + 10y = 600

15x + 15y = 1200

Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.

Next, we can calculate the value of the cost function at each corner point of the feasible region:

Corner point A: (20, 40) -> Cost = 20

Corner point B: (40, 25) -> Cost = 25

Corner point C: (60, 0) -> Cost = 30

Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.

The probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

To solve this problem using a normal approximation, we need to calculate the mean (μ) and standard deviation (σ) of the binomial distribution and then use the normal distribution to approximate the probability.

Given:

Probability of an airline flight arriving on time (success): p = 0.84

Number of trials (flights): n = 400

Number of flights arriving on time (successes): x > 240

First, we calculate the mean and standard deviation of the binomial distribution using the following formulas:

Mean (μ) = n * p

Standard Deviation (σ) = √(n * p * (1 - p))

μ = 400 * 0.84 = 336

σ = √(400 * 0.84 * 0.16) = √(53.76) ≈ 7.33

Now, we can use the normal distribution to find the probability that more than 240 flights will arrive on time. Since we're interested in the probability of x > 240, we will calculate the probability of x ≥ 241 and then subtract it from 1.

To use the normal distribution, we need to standardize the value of 240:

z = (x - μ) / σ

z = (240 - 336) / 7.33

z ≈ -13.13

Now, we can find the probability using the standard normal distribution table or a calculator. Since the value of z is extremely low, we can approximate it as:

P(x > 240) ≈ P(z > -13.13)

From the standard normal distribution table or calculator, we find that P(z > -13.13) is essentially 1 (close to 100%).

Therefore, the probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

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Answer:

1 inch

Step-by-step explanation:

Answer: $1200

Step-by-step explanation:

Use proportions:

540/45 = x/100

Cross multiply:

45x = 54000

Simplify:

45x = 54000

/45     /45

--------------------

x = 1200

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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Answer: X=6

Step-by-step explanation:

Answer:

  y = 2^-x

Step-by-step explanation:

The graph appears to be a decaying function with a horizontal asymptote of 0. This matches an exponential function with a negative exponent.

  y = a·b^-x

The y-intercept is 1, so the function multiplier is 1.

The value at x=-1 is 2, so the base of the exponent could be 2. (at x=-2, the value is 4, confirming this choice)

The function appears to be ...

  y = 2^-x