Multiply. Write your answer as a fraction in simplest form.

5/6(−8/15)=

The answers  to all parts are shown below.

One of the most crucial equations in mechanics is the wave equation. It describes the movement of fluid surfaces, such as water waves, in addition to the movement of strings and wires.

Define constants:

t0 = 1.7seconds      h0 = 58cm  highest point

t1 =  4.4 seconds       h1 = 44 cm  lowest point

t2 = 6 seconds    h2 = (h0 + h1)/2 = 51 cm  center height

Half a cycle passes between t0 and t1, so the period T is

T = 2(t1 - t0) = 2(4.4-1.7) seconds = 5.4 seconds

The amplitude A is half the total height change between h0 and h1:

A = (h0 - h1)/2 = 7 cm

a) Equation of motion in terms of height H above the floor is

H(t) = h2 + A Co s[2π(t - t0)/T]    

H(t) = 51 cm + (7cm) Cos[0.1775(t - 1.7second)/second]

b)  Let t = 6 seconds in the equation:

H(t) = 51 cm + (7cm) Cos[0.1775(6 - 1.7second)/second]  

                        = 51 + 7 x (-0.4008)

                        = 48.1944 cm

c)  Let t = 0 seconds in the equation:

H(0 seconds) = 51 cm + (7cm) Cos[0.1775(0 - 1.7second)/second]  

                   = (51+ 7[0.99999986]) cm

                   = 57.99cm      

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Answer:

y=-4

Step-by-step explanation:

The answer is going to be -4 as when y=-16 x=8.

Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3

Answer:

\(\frac{10}{11}\)

Step-by-step explanation:

The formula for the trigonometric function sin is:

\(sin\)Ф\(=\frac{opposite}{hypotenuse}\)

The side opposite to the ∠g is x, which is equal to 10

\(opposite=x\)      \(x=10\)

the hypotenuse of the triangle is z, which is equal to 11

\(hypotenuse=z\)    \(z=11\)

so the ratio is:

\(\frac{10}{11}\)

plz mark me brainliest. :)  

Answer:

1) b = -3

2) b  \(\geq\) 5

Step-by-step explanation:

35 < 7(2 - b)

5 = 2-b

3 = -b

b = -3

1/3 (15b – 12) \(\geq\) 21

15b – 12 \(\geq\) 63

15b \(\geq\) 75

b  \(\geq\) 5

The solution of first inequality is b < -3

And, The solution of the second inequality is b ≥ 5.

Here,

The first inequality is;

35 < 7 (2 - b)

And, The second inequality is;

\(\frac{1}{3} (15b - 12) \geq 21\)

We have to solve the inequality.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Now,

Solve the first inequality as;

35 < 7 (2 - b)

Divide both side by 7,

5 < 2 - b

Add b both side,

5 + b < 2 - b + b

5 + b < 2

Subtract 5 both sides,

5 + b - 5 < 2 - 5

b < -3

And,

The second inequality is solved as;

\(\frac{1}{3} (15b - 12) \geq 21\)

Multiply 1/3 both side,

\(15b - 12\geq 63\)

Add 12 both side,

\(15b - 12 + 12 \geq 63 + 12\\\\15b \geq 75\)

Divide 15 both side,

\(b \geq 5\)

Therefore, The solution of first inequality is b < -3

And, The solution of the second inequality is b ≥ 5.

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Answer:

Shelly can be a CrossFit member is 8 Months

($60-900) / $120 = Months

Step-by-step explanation:

Joining the gym costs 60$ so that would be your first month, it then costs $120 every month after. So we would start by subtracting $60 from the total $900

$60 - $900 = $840

Next you would divide your remaning money ($840) by the amount of money it cost per month ($120).

$840 / $120 = 7 Months

7 months plus the Enitial Month

The total number of months that Shelly can be a CrossFit member is 8 Months.

Answer: To find the percentage of the down payment to the purchase price, just multiply the down payment by 100 and divide the result by the   purchase

i.e 15,000 x 100/ 150,000= 10%

Also for the second part, multiply the down payment by 100 and divide by the purchase price

i.e 67,500 x 100 / 150,000= 45%

Step-by-step explanation:

Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

To find the Taylor polynomials centered at x = 0 for the function f(x) = 16tan(x), we can use the Taylor series expansion for the tangent function and truncate it to the desired degree.

The Taylor series expansion for tangent function is:

tan(x) = x + (1/3)x^3 + (2/15)x^5 + (17/315)x^7 + ...

Using this expansion, we can find the Taylor polynomials of degree 2 and 3 centered at x = 0:

Degree 2 Taylor polynomial:

P2(x) = f(0) + f'(0)(x - 0) + (1/2!)f''(0)(x - 0)^2

= 16tan(0) + 16sec^2(0)(x - 0) + (1/2!)16sec^2(0)(x - 0)^2

= 0 + 16x + 8x^2

Degree 3 Taylor polynomial:

P3(x) = P2(x) + (1/3!)f'''(0)(x - 0)^3

= 0 + 16x + 8x^2 + (1/3!)(48sec^2(0)tan(0))(x - 0)^3

= 16x + 8x^2

Therefore, the Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

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The statement <S and <H are equal in measure is False

The similarity statement is given as:

ΔRST is similar to ΔHGF

This means that:

Hence, the statement <S and <H are equal in measure is False

Because S equals G and R equals H

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The prediction of demand for December using the four-period moving average is 211.

This is option c.

To predict the demand for December using the 4-period moving average, the first step is to calculate the average of the demand in each four-month period. Here is how to calculate it:

Month Demand Average

Jan 141

Feb 276

Mar 216

Apr 156 179.75

May 261

June 141 186

Jul 246

Aug 246

Seperti 216 233.25

Oct 156

Nov 216 196.25

We then take the average of the last four months' average demands, which are the averages from September to November:

Average of the last four-month demand average = (233.25 + 196.25 + 216) / 3 = 215.5

Therefore, the prediction of demand for December using the four-period moving average is approximately 216. The answer is option (c) 211 (Approx)

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Amanda could buy more than 4 inches but less than 8 inches of purple wire to make triangle.

For Amanda to make a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Therefore, the minimum amount of purple wire she could buy would be the sum of the lengths of the blue and green wires (4 inches + 8 inches = 12 inches), minus the length of the longest side (which is 8 inches), so 12 inches - 8 inches = 4 inches.

The maximum amount of purple wire she could buy would be the sum of the lengths of the two shorter sides (4 inches + 4 inches = 8 inches).

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Answer:

it is an abstract science of number, quantity and space, either as abstract concept

Answer:

I think it's A ,Forgive me if its wrong its not a 100%.

Step-by-step explanation:

But if it is correct, im glad to be of service

Answer:

p - 6 = -14

p = -8

Step-by-step explanation:

       The difference between a number p and 6 is -14

  Let the number  = p;

Equation:

          difference between the numbers:

                         p - 6

          equality;

                         p - 6 = -14

Equation; p - 6 = -14

Solution:

                p - 6 = -14

            add (+6) to both sides of the expression;

                 p - 6 + (+6) = -14 +(+6)

                 p = -8

Answer: CD = 10

Step-by-step explanation:

Subtract the smaller one from the larger one.

D(14, 2) - C(4, 2)

First, you subtract the x-values:

14 - 4 = 10

Then, you subtract your y-values:

2 - 2 = 0

Since the y-value is 0 (since it is a straight line), your distance of CD is 10.

Hope this helps!

Answer:

Step-by-step explanation:

We know that numbers increase from left to right on the number line.

- 4 > - 5 means:

Correct choice is:

Answer:

On a number line, -4 is located to the right of 5!

Step-by-step explanation:

It is closer to the 0 therefore it is greater than 5 if you want more information...

<><><><<><><><><><><><><><><><><><><><><>

if you were to right a number line leading up to -8 - -7 - -6 etc..

then you would see and understand the value better! :D

Have a great week every one!!! / ( ` o w `o ) \

The minimum is 29 cm and it represents the sensor's minimum height above the ground.

In Mathematics and Geometry, the standard form of a cosine function can be represented or modeled by the following mathematical equation (formula):

y = Acos(Bx - C) + D

Where:

By critically observing the graph which models the sensor's height above the ground (in centimeters) shown in the image attached below, we can reasonably infer and logically deduce that it has a minimum height of 29 centimeters.

In conclusion, the sensor's minimum height above the ground cannot exceed 29 centimeters.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

36- degree rotation m8

Step-by-step explanation:

mark me brainliest :)

Answer:

-5

Step-by-step explanation:

when x is squared it will always be positive so x can be negative or positive

Answer:

Step-by-step explanation:

Tangents drawn to the circumference of a circle are equal.

x^2 + 8 = 33                      Subtract 8 from both sides

x^2+8-8 = 33 - 8               Combine

x^2 = 25                            Take the square root of both sides.

√x^2 = √25

x = ± 5

So x = 5.

x can also be - 5. The minus goes away when you calculate x^2

because x is squared, you can get two answers, but be very careful when doing geometry questions that the minus number is used in such a way that only a positive value will be left.

Answer:

Because there are 4 ways to pick red then 4 (C)

Answer:

it looks like it would be C

Step-by-step explanation:

The answer is (D) Reject the null hypothesis in favor of the alternative, which states that the mean of population one is greater than the mean of population two.

The null hypothesis assumes that any kind of difference between the chosen characteristics that you see in a set of data is due to chance.

The given information corresponds to a two-sample t-test, where we are testing the null hypothesis H0: μ1 = μ2 (there is no difference between the means of the two populations) against the alternative hypothesis Ha: μ1 > μ2 (the mean of population one is greater than the mean of population two).

The calculated t-value is 4.07, and the degrees of freedom are k = 27. The corresponding p-value is 0.0002.

Since the p-value is less than the significance level α = 0.05, we can reject the null hypothesis in favor of the alternative hypothesis. This means that we have enough evidence to conclude that there is a difference between the means of the two populations, and that the mean of population one is greater than the mean of population two.

So,the correct answer is (D) Reject the null hypothesis in favor of the alternative, which states that the mean of population one is greater than the mean of population two.

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The number of people that attended the game in each cost category is Faculty: 7,000,Alumni: 18,000,Public: 18,000,Veterans: 4,000

To determine the number of people that attended the game in each cost category,  to consider the given information and set up a system of equations to solve for the unknowns. Let's break down the problem step by step.

Let's denote the number of people in each cost category as follows:

Faculty: F

Alumni: A

Public: P

Veterans: V

The number of alumni is 11,000 more than the faculty, so we have the equation:

A = F + 11,000

The number of public plus alumni together was 10 times the number of veterans, so  the equation:

P + A = 10V

The number of faculty plus alumni together was the same as the number of veterans, so we have the equation:

F + A = V

The total number of people attending the game is the sum of the people in each category, so  the equation:

F + A + P + V = 100,000

Now, use these equations to solve for the unknowns.

First, substitute equation 1 into equations 2 and 3:

P + (F + 11,000) = 10V

F + (F + 11,000) = V

Simplify these equations:

P + F + 11,000 = 10V

2F + 11,000 = V

Next, substitute these equations into equation 4:

F + (F + 11,000) + P + (2F + 11,000) = 100,000

Simplify and combine like terms:

4F + 22,000 + P = 100,000

Subtract 22,000 from both sides:

4F + P = 78,000

Now a system of two equations:

P + F + 11,000 = 10V

4F + P = 78,000

solve this system of equations to find the values of F, P, and V.

By solving the system,

F = 7,000

P = 18,000

V = 4,000

Finally, substitute these values back into equation 1 to find the value of A:

A = F + 11,000 = 7,000 + 11,000 = 18,000

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Answer:

t=15d

Step-by-step explanation:

The problem is asking for total time, so we can set everything equal to t. If it takes 15 minutes for 1 mile and she's walking at a constant speed, we know that the solution is t=15d.

We can plug in one mile to verify this answer.

t=15(1)

t=15

Hope this helped!

Answer:

Step-by-step explanation:

yes it is

Step-by-step explanation:

50 glasses for Rs 1800

4 broken

sold each for Rs.35 each

50-4=46

35*46=1610

The rectangular form of n = (2.80∠–29.9°) is n = 2.45 – 1.38j.

To convert the polar form of n = (2.80∠–29.9°) to rectangular form, we can use the following equations:

a = r*cos(θ)
b = r*sin(θ)

where r is the magnitude of the complex number and θ is its angle in polar form.

Using the given values, we have:

r = 2.80
θ = –29.9°

Converting θ to radians:

θ = –29.9° * π/180 = –0.522 radians

Substituting the values in the equations, we get:

a = 2.80*cos(–0.522) = 2.45
b = 2.80*sin(–0.522) = –1.38

Therefore, the rectangular form of n = (2.80∠–29.9°) is:

n = 2.45 – 1.38j

So,  The rectangular form of n = (2.80∠–29.9°) is n = 2.45 – 1.38j.

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