The price of Stock A at 9 A.M. was ​$14.83. Since​ then, the price has been increasing at the rate of ​$0.12 each hour. At noon the price of Stock B was ​$15.33. It begins to decrease at the rate of ​$0.15 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the same?

Answer:

A) sin θ = 3/5

B) tan θ = 3/4

C) csc θ = 5/3

D) sec θ = 5/4

E) cot θ = 4/3

Step-by-step explanation:

We are told that cos θ = 4/5

That θ is the acute angle of a right angle triangle.

To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.

Now, the identity cos θ means adjacent/hypotenuse.

Thus, adjacent side = 4

Hypotenuse = 5

Using pythagoras theorem, we can find the third side which is called opposite;

Opposite = √(5² - 4²)

Opposite = √(25 - 16)

Opposite = √9

Opposite = 3

A) sin θ

Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;

sin θ = 3/5

B) tan θ

Trigonometric ratio for tan θ is opposite/adjacent. Thus;

tan θ = 3/4

C) csc θ

Trigonometric ratio for csc θ is 1/sin θ. Thus;

csc θ = 1/(3/5)

csc θ = 5/3

D) sec θ

Trigonometric ratio for sec θ is 1/cos θ. Thus;

sec θ = 1/(4/5)

sec θ = 5/4

E) cot θ

Trigonometric ratio for cot θ is 1/tan θ. Thus;

cot θ = 1/(3/4)

cot θ = 4/3

The probability that this person liked the tea, given that the person is female is P = 0.806

The probability will be given by the quotient between the number of females that liked the tea and the total number of females in the experiment.

We know that there are 25 + 6 = 31 females in the experiment, and 25 of them liked the tea, then the probability that a random female likes the tea is:

P = 25/31 = 0.806

If you want to learn more about probability:

https://brainly.com/question/25870256

#SPJ2

Answer:

175 pi ^3

Step-by-step explanation:

The volume of the cylinder is 175π cubic units or 175π units³ if the radius of the base r is 5 units and the height of the cylinder h is 7 units option (A) 175π units³ is correct.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

Volume can be defined as a three-dimensional space enclosed by an object or thing.

As we know,

We can find the volume of the cylinder by using the given formula:

[tex]\rm V = \pi r^2 h[/tex]

The radius of the base r = 5 units

The height of the cylinder h = 7 units

[tex]\rm V = \pi (5)^2 (7)[/tex]

V = 25x7π

V = 175π cubic units

Or

V = 175π units³

Thus, the volume of the cylinder is 175π cubic units or 175π units³ if the radius of the base r is 5 units and the height of the cylinder h is 7 units option (A) 175π units³ is correct.

Learn more about the cylinder here:

brainly.com/question/3216899

#SPJ5

Answer:

105°

Step-by-step explanation:

11x-5 + 6x+5 + x = 180

18x = 180

x = 10

m∠Q = 11(10)-5 = 110-5 = 105°

Answer:

105.

I hope you have a good day :)

Answer:

a=1

Step-by-step explanation:

because 3/4 hour is 45 minute and it takes 4/4 distance to their grandparents hous ein 4/4 hour so 45÷3=15, 15×4=60 which is 1hour

The Answer is A: 1 hour

Step-by-step explanation:

since they can drive 3/4 the distance in 3/4 hours, they can also drive 1/2 the distance in 1/2 hours and so on. If they want to visit the grandparent's house, they need to drive 4/4 the distance which is equivalent to 1 so it will take 1 hour for them to go to the house at the same rate.

A Tip From Me To You:

sometimes the question tries to trick you to make you overthink it so don't overthink it, try to just solve it simply.

Have a great day! <3

Answer:

y=-x-6

Step-by-step explanation:

Plug this into the equation y-y1=m(x-x1) where m is the slope. We know that it passes through (-8,2) so y1=2 and x1=-8. We also know that the slope is -1 so we can now fill in the equation. y-2=-1(x--8). We can change x--8 to x+8 so y-2=-1(x+8). Simplify this to get y-2=-x-8. You want to isolate y so you have to add 2 on both sides. y=-x-6. Therefore, the equation is y=-x-6.

If this answer has helped you please mark as brainliest

Answer:

C. 1 1/2

Step-by-step explanation:

6/7 + 4/7 = 10/7 So 1 3/7. closest is 1 1/2

Answer:

320 adults and 120 children

Step-by-step explanation:

First set up two sets of equations. One will equal the total amount of money sold and the other will equal the total amount of tickets sold.

5a + 2.5c = 1900 where a is the # of adult tickets sold and c is the # of children tickets sold

a + c = 440

Now solve for either a or c in the second equation. I chose to solve for a. a=440-c

Use that to substitue into the other equation.

5 (440-c) +2.5c = 1900

2200-5c +2.5c = 1900

-5c+2.5c = -300

-2.5c=-300

c=120

Now plug 120 into the equation a+c=440 and solve for a

Answer:

231.746 km

Step-by-step explanation:

Formula: [tex]distance = speed[/tex] × [tex]time[/tex]

Solution: To solve for distance use the formula for distance

Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour. If rate r is the same as speed s, r = s = d/t. You can use the equivalent formula d = rt which means distance equals rate times time.

Firstly, convert the time from hours to minutes

2 hr 15 min = 2.25 hr

or 2.25 hr = 135 min

Now, use the formula:

135 × 64 = 8640

In km, the distance traveled is 231.74

The value that represents the Inter-Quartile Range of data is 26.

Option A is the correct answer.

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

From the boxplot, we can see that,

Third quartile = 46

First quartile = 20

Now,

Interquartile range

= Third quartile - First quartile

= 46 - 20

= 26

Thus,

The value that represents the Inter-Quartile Range of data is 26.

Learn more about the interquartile range here:

https://brainly.com/question/29204101

#SPJ7

Note: 2/75 = 0.0267 = 2.67% approximately

========================================================

Explanation:

The states that start with "A" are:

We have four states out of 50 total. The probability of picking a state that starts with "A" is 4/50 = 2/25.

When rolling a single die, the possible outcomes are {1,2,3,4,5,6}. The subset {1,2} represents any time we roll less than three. There are 2 ways to roll less than three, out of 6 ways total. So we have a probability of 2/6 = 1/3 here.

We'll multiply the fractions to get our answer:

(2/25)*(1/3) = (2*1)/(25*3) = 2/75

Answer:

Part 1: She will make $1,944.00 In 4 days.

Part 2: 0.38

Answer:

0.3

Step-by-step explanation:

Answer:

-2x^9

Step-by-step explanation:

-2x^6-(-3) = -2x^9

Answer:

29/25 because it's 1.16, which is smaller than 1.3 (13/10), 1.2 (6/5), and 1.25 (5/4)

Step-by-step explanation:

13/10 is 1.3

6/5 is 1.2

5/4 is 1.25

29/25 is 1.16

Answer:

(3, - 1 )

Step-by-step explanation:

Given the 2 equations

2x - 3y = 9 → (1)

x + 2y = 1 → (2)

Rearrange (2) expressing x in terms of y by subtracting 2y from both sides

x = 1 - 2y → (3)

Substitute x = 1 - 2y into (1)

2(1 - 2y) - 3y = 9

2 - 4y - 3y = 9

- 7y + 2 = 9 ( subtract 2 from both sides )

- 7y = 7 ( divide both sides by - 7 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

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

solution is (3, - 1 )

Answer:

[tex]\theta = 25.7^\circ[/tex] --- Measure of each exterior angle

[tex]\theta = 154.3^\circ[/tex] --- Measure of each interior angle

Step-by-step explanation:

Given [Missing from the question]

[tex]n = 14[/tex] --- number of sides

Required

- The measure of an exterior angle

- The measure of an interior angle

For an n-sided polygon, the measure of each exterior angle is:

[tex]\theta = \frac{360}{n}[/tex]

Substitute 14 for n

[tex]\theta = \frac{360}{14}[/tex]

[tex]\theta = 25.7^\circ[/tex]

For an n-sided polygon, the measure of each interior angle is:

[tex]\theta = \frac{(n - 2) * 180}{n}[/tex]

Substitute 14 for n

[tex]\theta = \frac{(14 - 2) * 180}{14}[/tex]

[tex]\theta = \frac{12 * 180}{14}[/tex]

[tex]\theta = \frac{2160}{14}[/tex]

[tex]\theta = 154.3^\circ[/tex]

Answer:

look at the picture i sent......

Answer:

5

Step-by-step explanation:

Answer:

1200ft^3

Step-by-step explanation:

30 x 20 x 2= 1200^3

Answer:

m<N=68

Step-by-step explanation:

opposite angles of the parallelogram are equal(or congruent):

4x+36=6x-2

6x-4x=36+2

2x=38

x=38/2=19

the sum of the angles of the parallelogram =360

4x+36=4(19)+36=112 angle P

6x-2=6(19)-2=112 angle M

let Q= N=x

2x+112+112=360

2x=360-224

2x=136

x=136/2=68

Answer:

ok do 3 times whatever to make 18 so the answer is probly 6y

Step-by-step explanation:

Answer:

answer for yes total, is 5, the answer for no total is 20, the total for junior is 17, and the total for senior is 8.

Step-by-step explanation:

What you do is you add the 2 values. for example, to find the total for the juniors, you would add 1 to 16.

I would try and help but I think it's missing the picture

Answer: They look right to me

Step-by-step explanation:

Answer: 50% or 1/2

Step-by-step explanation:

number of possible combos:

1+1, 1+2, 1+3, 1+4, 1+5, 1+6

2+1, 2+2, 2+3, 2+4, 2+5, 2+6

3+1, 3+2, 3+3, 3+4, 3+5, 3+6

4+1, 4+2, 4+3, 4+4, 4+5, 4+6

5+1, 5+2, 5+3, 5+4, 5+5, 5+6

6+1, 6+2, 6+3, 6+4, 6+5, 6+6

number of even sums within combos:

1+1, 1+3, 1+5

2+2, 2+4, 2+6

3+1, 3+3, 3+5

4+2, 4+4, 4+6

5+1, 5+3, 5+5

6+2, 6+4, 6+6

TOTAL combos:

36

TOTAL even sums:

18

so that means 18/36 or 1/2 of the possible combinations has a sum of an even number.

sorry it’s not a table but I literally worked it out while answering so that’s all my work

Answer:5.0

Step-by-step explanation:

The volume of a cylinder is [tex]\pi r^2h[/tex], since the radius is 1/2D, 2/2=1. Now, if [tex]\pi[/tex] is rounded to 3.14, the volume of the cylinder would be 1 x 1 x 3.14 x 4 = 12.56. Now, since there are 0.4 pound per cubic inch, 12.56 x 0.4 = 5.024. Rounded to tenth, the answer is 5.0 or 5.

Hope this helps!