In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through 1/12
of a circle.Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 6:45 p.m. (on the same day)?

Answers

Answer 1

9514 1404 393

Answer:

  12 11/24 radians (combined angular motion)

Step-by-step explanation:

In one hour, the combined angular motion is ...

  (2π)(1 +1/12) = 13π/6 radians

Then in the 5 3/4 hours between 1 pm and 6:45 pm, the angular motion of the two hands will total ...

  (23/4)(13π/6) radians = 299π/24 radians = 12 11/24 radians

_____

Additional comment

Maybe you're asking for the separate motions.

  minute hand: 2π×5.75 = 11.5π radians

  hour hand: (π/6)×5.75 = 23π/24 radians


Related Questions

need help due in 2 minutes!!!!!

Answers

Answer:

x = 7x^2

Step-by-step explanation:

4x-14=-3x^2

x-14=3x^2

x= 7x^2

Answer:

3x²+4x-14=0

Step-by-step explanation:

Standard form of a quadratic equation is ax²+bx+c=0. To do that, simply move -3x² over to the other side by adding it. That leaves you with the answer.

the first discount on a certain laptop was 15% the second was 28% after two discounts the price become $306. What was the original price?

Answers

Answer:

$437.58

Step-by-step explanation:

15% + 28%

= 43%

43/100 × 306

= $131.58

$131.58 + $306

= $437.58

What is the inverse of f(x) = 1/3x + 2 ?

A. h(x) = 1/3x + 2

B. h(x) = 1/3x - 2

C. h(x) = 3x - 2

D. h(x) = 3x - 6

Pls provide an explanation. I need help, and I will mark the person who helps me understand this Brainliest.

Answers

Answer:

D

Step-by-step explanation:

We are given the function:

[tex]\displaystyle f(x) = \frac{1}{3} x + 2[/tex]

And we want to find its inverse h.

To find the inverse of a function, we can switch the y and x variables and solve for the new y. This will be our inverse.

We begin with:

[tex]\displaystyle f(x) = y = \frac{1}{3} x+ 2[/tex]

Switching the variables yield:

[tex]\displaystyle x = \frac{1}{3}y + 2[/tex]

And solving for y yields that:

[tex]\displaystyle y = h(x) = 3x - 6[/tex]

In conclusion, the inverse function to f is 3x - 6. Our answer is D.

To understand why we switch the variables, recall that by the definition of inverse functions, if f(a) = b, then f⁻¹(b) = a. So, by switching the variables, we are essentially solving for f⁻¹(x).

Simplify the linear expression.

−3x+5(−8x−1)

Enter your answer in the box.

Answers

Answer:

-43x - 5

Step-by-step explanation:

−3x + 5 (−8x −1)

First, distribute 5 into the parenthesis:

= −3x + 5 (−8x −1)

= -3x - 40x -5

Combine like terms:

= -43x - 5

Answer:

-43x - 5

Step-by-step explanation:

I took the K12 test

What is the area of a circle with a radius of 6 inches?

9 pi in^2
12 pi in^2
36 pi in^2
81 pi in^ 2

Answers

Answer:

Area of circle = πr² ( Putting π = 22/7) Area = 3.14×6×6Area = 113.04

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

please help and thank you

Answers

Answer:

[tex]y=-3x-7[/tex]

You just paid $435,000 for a policy that will pay you and your heirs $17,300 per year forever with the first payment in one year. What rate of return are you earning on this policy?

Answers

Answer:

3.98%

Step-by-step explanation:

R = $17,300/$435,000 = .0398, or 3.98%

What is the slope of the line?

−9/5


−5/9


9/5


5/9

Answers

Pick two points on the graph
(1, -4) and (-4,5)

Solve for slope
m = 5 — -4/ -4 - 1
M = 9/-5

Answer is the first one

Answer:

-9/5

Step-by-step explanation:

(-3, 3) & ( 2, -4) -9/5 rise over run and negative because its in negative axis

[tex]\lim_{x \to +\infty} (\frac{x^{2}-3x-1 }{x^{2} -4x+2} )^{\frac{x}{2} }[/tex]

Answers

Step-by-step explanation:

I know but I m feeling bore

I solved on my phone it was a easy question just used a calculator to write up the fraction and infinite etc

Please help! I have 10 mins to do this! (-4.5 x 8.61 x (-2/9)
Or look at the picture! I will mark BRAINLIEST as well

Answers

Answer:

8.61

Step-by-step explanation:

Answer:

8.61 I think try that okay

An insurer knows that the proportion of smokers in a population is 0.3. Furthermore, it is known that: 40% of applicants who are smokers say they do not smoke on their applications. None of the non-smoking applicants are lying on their application.
Calculate what is the probability that one of the applicants says that he does not smoke, and that in fact do not smoke.

Answers

Answer: Approximately 0.8537

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

Explanation:

Let's say this population had 1000 people. You can pick any number you want, but I'm going for some nice big round number to work with.

The proportion of smokers is 0.3, which means 0.3*1000 = 300 people in this population are smokers and 1000-300 = 700 are nonsmokers.

Of the 300 people who do smoke, 40% of them lie on the application. This means 0.40*300 = 120 people lied. These 120 people say they don't smoke, but in fact they do smoke.

So if we were to survey this population, then 700+120 = 820 people would say they don't smoke

Only considering the people who write "don't smoke" on the survey, which is that 820 figure, 700 of them are true nonsmokers. Therefore, the probability we want is 700/820 = 0.8537 approximately

What is the answer for this question?

Answers

Answer:

I don't know sorry.....

Someone please help me I think its the third one I am just not entirely sure. I will give 5 stars and thanks!

Answers

Answer:

the third one is the correct answer

A math class has 4 girls and 1 boy in the seventh grade and 5 girls and 5 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both boys?
Answer is 1/10

Answers

Answer:1/10

Step-by-step explanation:so easy

The probability that the students she selects are both boys is 1/10.

What is a probability?               Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates complete certainty.

Given is that a math class has 4 girls and 1 boy in the seventh grade and 5 girls and 5 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition.

The probability that the students she selects are both boys -

P{E} = P{1} x P{2}

P{1} : randomly selecting a seventh grader as a boy.

P{2} : randomly selecting a eight grader as a boy.

We can write -

P{1} = n{f}/n{s} = 1/5

P{2} = n{f}/n{s} = 5/10 = 1/2

P{E} = P{1} x P{2}

P{E} = 1/5 x 1/2

P{E} = 1/10

Therefore, the probability that the students she selects are both boys is 1/10.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

5. In (triangle) ABC, what is the expression for the length of BC? A sin 38/15 b.15sin 87/sin 38 c.15sin 55/sin 38. D, sin 87/15 sin 38

e. Sin 38/15 sin 87.


A
15 (55 triangle 38)
C
B

Answers

Woah woah woah I am so happy for everyone and your family is doing well in the world of you and love you too and I hope you have a wonderful weekend love you love love you bye love you love daddy love you love y’all too love you love daddy love you

Use the graph above to demonstrate your understanding of slope and density.
a. Calculate the slope of the trend line using this mathematical equation: Slope = Y2-Y1 / X2-X1
(Use the 2 yellow dots on the graph and show your work)


b. In this graph (mass vs volume), what does the slope represent?

Answers

Answer:

41

Step-by-step explanation:

i know skxkdkckxokdkakd

Please Help! I will give you a lot of points!

Answers

#1

(56,7) is the co-ordinate of point B.

#2

(56,7)

It means that the ball has travelled 56yards .it is at the height of 7ft.

Answer:

(56,7) is the answer of this questions

Define the transformations in f(x) = -1/3|2x - 3|+ 2 from f(x) = |x|

Answers

Answer:

horizontally shrink by factoring of 2, shift 3/2 units to the right, shift 2 units upward

Step-by-step explanation:

Wxy is a right triangle.

Answers

Answer:

B. False

Step-by-step explanation:

To check if its a right angle triangle, you need to check if pythagoras' theorem works:

a² + b² = c²

(√17)² × (√17)² = 289 which is not equal to (√34)²

2. The curve with equation y = ax? + bx +c passes through the points P (2,6) and Q (3, 16), and has a gradient of 7 at the point P. Find the values of the constants a, b, and c.​

Answers

Answer:

[tex]y = a{x}^{2} + bx + c \\ 6 = a{2}^{2} + 2b + c \\ 6 = 4a+ 2b + c...(1) \\ 16 = 9a+ 3b + c...(2) \\ \frac{dy}{dx} = 7 = 4a + b...(3) \\ (2) - (1) \\ 10= 5a + b...(4) \\ (4) - (3) \\ 5a - 4a = 10 - 7 \\ \boxed{a = 3 }\\ sub \: a \: im \: (4) \\ 10 = 15 + b \\ \boxed{b = - 5} \\ sub \: a \: b \: in \: (1) \\ 6 = 4(3) + 2( - 5) + c \\\boxed{c = 4}[/tex]

I’m so lost i have no idea how to get the function please see pic

Answers

You should first recognize the shape of the curve - it's an exponential function, so its equation takes the form [tex]y(x)=a\cdot b^{cx}[/tex] for some constants a, b, and c.

The curve lies above the x-axis, so a must be positive.

The curve is defined everywhere (there are no discontinuities), so b must be positive.

As you move left to right, the function is increasing, so c must also be positive. But to make things simpler, let's assume c = 1.

When x = 0, the curve passes through the point (0, 1). In our equation, we have

[tex]y(0) = a\cdot b^0 = a[/tex]

so it follows that a = 1.

When x = 1, the curve approximately passes through the point (1, 4); so

[tex]y(1) = b^1 = 4[/tex]

so b = 4.

Then the equation of the curve might be [tex]\boxed{y = 4^x}[/tex].

what is 13.6 - x = -64.2

Answers

Answer:

13.6 - x = -64.2

Step-by-step explanation:

x = 77.8

13.6 - 77.8 = -64.2 True!

Answer:

x=77.8

Step-by-step explanation:

13.6-x=-64.2

-13.6. -13.6

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

since there is already -x it wouldn't be -77.8 bc that would cancel it out

HELP!
Ruben, Shelly, and Malcolm have recorded a hit song. Ruben gets 2/5 of the income, Shelly gets 1/3, and Malcolm gets the rest. If they earn $300,000, how much does Malcolm earn?

Answers

Answer:

$ 80,000

Step-by-step explanation:

2/5 + 1/3 = (6 + 5)/15 = 11/15

15/15 - 11/15 = 4/15

4/15 of 300,000

4/15 x 300,000 = 1,200,000/15 = 80,000

Evaluate the expression when x=-6

Answers

Answer:

Step-by-step explanation:

x² + 5x - 5 =  (-6)² + 5*(-6) - 5

                 = 36 - 30 - 5  

                 = 36 - 35

                 = 1

Answer:

1

Step-by-step explanation:

-6^(2)+5(-6)-5

36 + 5(-6) -5

36- 30- 5

6 - 5

1

A vertical parabola goes through (-2,-18), (3, -13), and (5, -39). Use matrices to solve for D, E, and F,
given the general form x2 + y2 + Dx + Ey + F = 0 (since it is a vertical parabola there is not a
yż term).

Answers

The general formula for the parabola is [tex]x^{2}+y^{2}-21\cdot x +51\cdot y +548 = 0[/tex].

We need the knowledge of three distinct points to determine all coefficients of the vertical parabola based on the following general formula:

[tex]x^{2} + y^{2} + D\cdot x + E\cdot y + F = 0[/tex] (1)

If we know that [tex](x_{1}, y_{1}) = (-2, -18)[/tex], [tex](x_{2}, y_{2}) = (3,-13)[/tex] and [tex](x_{3}, y_{3}) = (5,-39)[/tex], then we have the following system of linear equations:

[tex]-2\cdot D -18\cdot E + F = -328[/tex] (2)

[tex]3\cdot D -13\cdot y + F = -178[/tex] (3)

[tex]5\cdot D -39\cdot E + F = -1546[/tex] (4)

The solution of the system of equations is: [tex]D = -21[/tex], [tex]E = 51[/tex], [tex]F = 548[/tex].

The general formula for the parabola is [tex]x^{2}+y^{2}-21\cdot x +51\cdot y +548 = 0[/tex].

We kindly invite to check this question on parabolae: https://brainly.com/question/4074088

please help me pleaseeee!​

Answers

1)true

2)true

3)false

4)true

5)true

6) false

7))true

8)true

9)false

10)false.

11)false

12)true

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer:

2inch=1 foot

Step-by-step explanation:

so 2 to 1       2:1

Find the derivative of f(x) =4cot(x) + 10 sin(x)

Answers

d/dx cot(x) = -csc²(x)

d/dx sin(x) = cos(x)

So, if f(x) = 4 cot(x) + 10 sin(x), then

f '(x) = -4 csc²(x) + 10 cos(x)

What is the slope of this graph?​

Answers

-4 as if it was -1/4 that would mean it goes to right 4 times and down 1

What is the correct number form for “seven and eighty-three thousandths?”

Answers

Answer:

7.083

Step-by-step explanation:

Answer:

7.083 im pretty sure

Step-by-step explanation:

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