State the independent variable and the dependent variable in the linear relationship. Then find the rate of change for the situation.

sin(x) = 1/2 and the angles must be between 0 and 180.

We can take the arcsin(1/2) and we get 30 degrees, but that is only half of the answer.

There are two angles for which the y value on the unit circle outputs 1/2.

To find this other value which is in the second quadrant: 180 - 30 = 150.

The other angle is 150 and can be checked by solving sin(150) which outputs 1/2 so we know have the correct answer.

Smaller =  30   Larger = 150.

P.S make sure your calculator is in degree mode.

Using sampling concepts, it is found that a Stratified sample was used.

Samples are classified as:

In this problem, the population is divided into groups, according to the three different age categories, and then 10 people from each category is selected(that is, not all members), hence it is a stratified sample.

A similar problem is given at https://brainly.com/question/23106151

Answer:

see explanation

Step-by-step explanation:

- 4x + 3 < 23 ( subtract 3 from both sides )

- 4x < 20

x < - 5 ← Her error is on this step

When dividing by a negative quantity the symbol is reversed, that is

Divide both sides by - 4 and reversing the symbol gives

x > - 5

Answer:

Step-by-step explanation:

-6x + y  = -6                     Add 6x to both sides

y = 6x - 6                         So the slope of the new line is 6

The point the new line has to go through is (-4,0) That will determine b.

y = 6x - 6

x  = - 4

y = 0

0 = 6*(-4) + b                    Combine

0 = - 24 + b                      add 24 to both sides

24 = b  

Answer:  y = 6x + 24

Answer:

wow

Step-by-step explanation:

The number of stamps Josef received out of the total stamps of 2,500 is 1,500 stamps

let

x = total number of stamps

Josef share = 60% of x

= 0.60 × x

= 0.60x

Mai = 40% of x

= 0.40x

Josef = 0.40x + 500

Total = Josef + Mai

x = (0.40 + 500) + 0.40x

x = 0.40x + 500 + 0.40x

x = 0.80x + 500

x - 0.80x = 500

0.20x = 500

x = 500/0.20

x = 2,500

Josef share = 60% of x

= 60/100 × 2,500

= 0.60 × 2,500

= 1,500 stamps

Therefore, the total number of stamps shared between Josef and Mai is 2,500

Read more:

https://brainly.com/question/16450098

Answer:  They are the same equivalent price, $0.95/liter.

Step-by-step explanation:

Choices:  $3.58 per gallon, or $3.79 for 4 L.

========

We need to convert one of the volumes.  I'll convert gallons to liters.

By definition, 1 gallon = 3.785 liters

Make this into a conversion factor:

We can make it either:

1)   (3.785 liters/gallon), or

2)  (1 gallon/3.785 liters)

Now convert the $3.58/gallon into dollars/liter.  We'll use the second conversion factor so that gallons cancels out when we multiply:

($3.58/gallon)*(1 gallon/3.785 liters) = $0.95/liter.

The grocery store milk must also be converted to a price expressed per 1 liter:

$3.79 for 4 L

= $0.95/liter.

They are the same equivalent price, $0.95/liter.

Answer:

3x-4y=19

Step-by-step explanation:

Hi there!

We want to write the equation of the line in standard form that passes through the point (1, -4) and has the slope of 3/4

Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negative

First, in order to find ax+by=c, we'll need to get slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

Since we already know the slope (3/4), we can substitute it into the formula for y=mx+b.

y=3/4x+b

Now we need to solve for b

Since the equation passes through the point (1, -4), we can use it to solve for b

Substitute 1 as x and -4 as y.

-4=3/4(1)+b

Multiply

-4=3/4+b

Subtract 3/4 from both sides

-19/4=b

Now substitute -19/4 as b into the equation

y=3/4x-19/4

Now we have the equation in slope-intercept form, but remember, we want it in standard form

Since x and y are on the same side in standard form, subtract 3/4x from both sides

-3/4x+y=-19/4

Remember that a cannot be negative, and the coefficients are integers (they cannot be fractions)

So in order to clear the fractions and change the sign of the equation, multiply both sides by -4

-4(-3/4x+y)=-4(-19/4)

Multiply

3x-4y=19

Hope this helps!

Lets look at each one:

A. 7x+x+8=16x

This left side will be 8x + 8, so its wrong.

B. x+x+1+1=2x+2

This left side will be 2x + 2, it is right!

C. 5(x+3)=5x+5

This left side will be 5x+15, so its wrong.

D. 9x−18=9(x+2)

This left side will be 9(x-2), so its wrong.

Our answer is going to be B) x+x+1+1=2x+2

x + x = 2x

1 + 1 = 2

2x + 2

I hope this helps! :)

Answer:

the answer is -2

Step-by-step explanation:

-2........

Answer:

$100.66

Step-by-step explanation:

First you have to figure out how much she is making from all four tickets, so 4 x 359.50 is $1,438

She makes 7% commission. In decimal form, that is .07. In order to find what she made, multiply .07 by $1,438.

Olivia makes $100.66

Answer:

iro 50*.6 gives us 30 miles

andkalini drives 65 for .5 65*.5= 32.5 miles

so kalini drove further

Answer:

Help with what is it mental help? Or no cause I’ve dealt with that a lot

Step-by-step explanation:

Answer:

the mean of the red is 1.75, while the mean of the purple is 2.25

Step-by-step explanation:

LMK if this helps!

hope it does!

The mean number of red (1.75) is 0.5 less than the mean number of purple.

Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.

Candy comes in large bags of 75 candies, a 1 pound bag, and large bags with multiple fun-size packs.

Jenny randomly opened 12 of the fun-size packs of candies from a bag.

The mean number of reds will be

[tex]\rm Mean_{r} = \dfrac{2+1+4+2+1+2+1+0+1+3+3+1}{12}\\\\Mean_{r} = \dfrac{21}{12}\\\\Mean_{r} = 1.75[/tex]

The mean number of purples will be

[tex]\rm Mean_p = \dfrac{2+2+1+3+5+2+2+2+4+2+2+0}{12}\\Mean_p = \dfrac{27}{12}\\\\Mean_p =2.25[/tex]

The mean number of red (1.75) is 0.5 less than the mean number of purple.

More about the mean link is given below.

https://brainly.com/question/521501

Answer:

[tex]m=-\frac53; q=-2[/tex]

Step-by-step explanation:

Let's bring the line in the classical [tex]y=mx+q[/tex] form

[tex]3y= -5x-6\\y=-\frac53 x -2[/tex]

At this point we have the two values [tex]-\frac53[/tex] for the slope and [tex]2[/tex] for the intercept

Step-by-step explanation:

Given that:

[{5² × 6²}/{(30)⁴}]³

⇛[{5² × 6²}/{(5 × 6)⁴}]³

⇛[{5² × 6²}/{(5⁴ × 6⁴}]³ [∵(ab)ᵐ= aᵐbᵐ]

⇛[{5²/5⁴} × {6² × 6⁴}]³

⇛[5^(2-4) × 6^(2-4)]³ [∵aᵐ/aⁿ = aᵐ-ⁿ]

⇛[5^-2 × 6^-2]³ [∵aᵐbᵐ = (ab)ᵐ]

⇛[(5×6)^-2]³

⇛[30^-2]³

⇛[30]^-2×3 [∵(aᵐ)ⁿ = aᵐⁿ]

⇛30^-6. [∵(a^-ⁿ = 1/a^n]

⇛1/(30)⁶ ≈ 72 90 00 000 Ans.

Hope this helps!!

If you have any doubt, then you can ask me in the comments.

Answer:

3, 6, 7, 9

Step-by-step explanation:

We can take a look at each value from 1 to 10

We see that for 3, 6, 7, and 9 the decimal repeats forever for some numerators. For example, 1/3 repeats forever, 4/6 repeats forever, 5/7 repeats forever, 1/9 repeats forever.

Answer:

9

Step-by-step explanation:

just count it!!

hope its help

Answer:

17.2ft

Step-by-step explanation:

just add

11.4+5.8=17.2

Answer:

OC. 5:17 compares the amount og goldfish he has to the amount of total animals he has

Step-by-step explanation:

To easily solve this problem we need to know two facts:

Slope-intercept form

Since 3x - 4y = 12

         3x - 12 = 4y

                  y = ³/₄ x - 3

         ∴ y-intercept is (0, -3)

Solve for x when y = 0

Since 3x - 4y = 12

         3x - 4(0) = 12

                    x = 4

∴ x-intercept is (4, 0)

We can check our answer by graphing the line and seeing if it passes through the intercepts we calculated. Since it does (see graph below), then the answers we calculated are correct.

To solve this problem you will need this tool, it is the formula of speed :

speed = distance/time

(I suggest you to remember this one for life, it is a really useful one)

Let's check how long that Jackie nice dude will take to finish the race...

Jann avery runs at an average of 6 mph (miles per hour), so we already got the speed for our formula. And she will finish the race in 2.1 hours so we got the time. What do we miss ? The distance.

Let's write what we already know to solve this puzzle :

6 = d / 2.1

Where d is that unknown distance..  So we are in front of an equation here let's solve it :

d / 2.1 = 6

d = 6 * 2.1

d = 12.6 miles

Now that we know that distance, for the race, we can see if that poor Jackie Donofrio has all his chances to catch Jann Avery...

We already know his speed... and since we have the distance, we write :

4 = 12.6 / t

Where t is the unknown time, for Jackie, to finish the same race. Let's solve the equation :

4t = 12.6 (we multiplied t on each side of the equation)

t = 12.6 / 4

t = 3.15

Jackie Donofrio, who runs at 4 miles per hour, will finish the race in 3.15 hours

Good Luck

Answer:

d

took the test

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

khan academy

Answer:

a)300 quarts per hour

b)4.73 (rounded to the nearest hundredth) liters or 5 (rounded to the nearest whole number liters

Step-by-step explanation:

a)f the heart pumps 5 quarts per minute, and we want it in quart per hour, all we have to do is multiply 5x60 (quarts-per-minute x minutes-per-hour) =300 quarts per hour

b)1 quart is .946liters

using that conversion we get that 5 quarts is ≈4.73 litera

Answer:

Option B is correct.

Step-by-step explanation:

Our expression is:

Let's check all of our options to see if any option is accurate.

Option A:

(n + 8)(n + 11)

=> n² + 11n + 8n + 88

=> n² + 19n + 88

n² + 19n + 88 ≠ n² + 26n + 88

Option B:

(n + 4)(n + 22)

=> n² + 22n + 4n + 88

=> n² + 26n + 88

=> n² + 26n + 88 = n² + 26n + 88 ✔

Option C:

(n + 4)(n + 24)

=> n² + 24n + 4n + 96

=> n² + 28n + 96

=> n² + 28n + 96 ≠ n² + 26n + 88

Option D:

(n + 8)(n + 18)

=> n² + 18n + 8n + 144

=> n² + 26n + 144

=> n² + 26n + 144 ≠ n² + 26n + 88

Conclusion:

So, after working on this problem, we can conclude that Option B is our answer. Hoped this helped

Answer:

B

Step-by-step explanation:

edge 22'

Answer:

r=1/4

Step-by-step explanation:

Answer:

r = 1/4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 2r from both sides.

Step 3: Subtract 1/3 from both sides.

Step 4: Multiply both sides by -3/4.

Therefore, r = 1/4.