if X varies inversely as the cube root of y and X=1 when y=8. find y when X =3​

Answer:

The correct answer would be D. It would not be a linear function because the rate of change is not constant.

Step-by-step explanation:

The rate of change is not constant since it is not adding by a same number each time.

The required function y = 7 cos (2π * 0.1 * x) and period of the function is 10 seconds, which is the time it takes for one complete cycle of the wave.

he cosine function can be used to model periodic motion, and its general form is:

y = A cos (Bx + C) + D

where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift.

In this case, we know that a 14 in. wave occurs every 10 s, so we can use this information to find the frequency, which is the reciprocal of the period. The period is the time it takes for one complete cycle of the wave, which in this case is 10 s.

Therefore, the frequency is:

\(f = \frac{1}{T}=\frac{1}{10} = 0.1 Hz\)

We can also see that the amplitude of the wave is 7 inches, since the wave has a height of 14 inches from its highest point to its lowest point.

Now we can write the function that models the height of the particle in inches y as it moves in seconds x:

y = 7 cos (2π * 0.1 * x)

Here, the frequency is expressed in radians per second (2π * 0.1 = 0.2π), since the cosine function takes radians as its argument. The phase shift and vertical shift are both zero in this case, since the wave starts at its highest point and has no vertical shift.

Therefore, the period of the function is 10 seconds, which is the time it takes for one complete cycle of the wave.

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Answer:

perimeter: 23.6yd

area: 34.3yd²

Step-by-step explanation:

This is technically a rectangle, but alrighty, so for the perimeter, you just add all the sides together, or multiply, blah blah blah, no here:

5.2 x 2 + 6.6 x 2 = 23.6

So the perimeter is 23.6yd

Now, we find the area by multiplying the width by the height (i think that's the right terminology, so you basically just multiply the only number's there:

5.2 x 6.6 = 34.32

But then we round to the tenth and 2 rounds down to 34.3, so the area is 34.3yd²

hope this helps:)

Volume of wheelbarrow , V = 2 1/2 ft³ = 5/2 ft³.

Volume of soil in wheelbarrow , \(v = \dfrac{5}{3}\ ft^3\) .

Mass of soil in wheelbarrow , m = 75.25 pounds.

Now, volume left , \(v'=\dfrac{5}{6}\ ft^3\) .

Let, mass of  soil un wheelbarrow is x.

\(x=\dfrac{\dfrac{5}{6}\times 75.25}{\dfrac{5}{3}}\\\\x=37.625\ pounds\)

Hence, this is the required solution.

The linear and exponential equations for the amount of money in the banks indicates;

TCF Bank Equation

y = 100·x + 1000

Well Fargo Bank Equation

y = (1.06)ˣ

The number of years it will take for both accounts to have the same amount of money is about 17 years

An exponential equation is an equation of the form; y = a·bˣ, where the input variable, x is an exponent.

The equation for calculating the amount in each bank, based on the details are;

TCF Bank;

Amount invested = $1,000

Amount added each year = 100·x

Well Fargo Bank Equation

The percentage of the amount earned as interest each year = 6% = 0.06

The exponential equation for compound interest amount is; y = 1000·(1 + 0.06)ˣ

Therefore; y = 1000·(1.06)ˣ

When the amount in the two accounts have the same amount of money, we get;

1000·(1.06)ˣ = 100·x + 1000

Therefore; (1.06)ˣ = (100·x + 1000)/1000 = 0.1·x + 1

(1.06)ˣ = 0.1·x + 1

Solving the above equation using the substitution method and graphing indicates that we get;

x = 0, and x ≈ 17.125732

Therefore, it takes about 17 years for the two accounts to have the same amount of money

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Answer:

4 18/100

Step-by-step explanation

Answer:

35 inches

Step-by-step explanation:

trough subtitution method and destributive equation

The transformation occurred as translation of six units right and three units down.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

We are given that transformation on M (1, 7) resulted in M' (-5,9).

When the original function is y = f(x), assuming the horizontal axis is input axis and vertical is for the outputs, then:

Horizontal shift (called phase shift):

Left shift by c units:

y=f(x+c)

Right shift by c units:  y=f(x-c)

Vertical shift: Up by d units: y = f(x) + d

Since we can conclude that transformation occurred translation of six units right and three units down.

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Answer:

15 inches tall

Step-by-step explanation:

every 3 inches increased, the width increases by 5.

Answer:

384 ounces

Step-by-step explanation:

1 pound = 16 ounces

8 pounds = 128 ounces

1 bag = 8 pounds

1 bag = 128 ounces

3 bags = 24 pounds

3 bags = 384 ounces

Answer:

384 ounces

Step-by-step explanation:

There are 16 ounces per pound, so if you multiply that by 8 you get 128, and then you multiply that by 3 to get the total ounces which is 384

Answer:

x = 8

Step-by-step explanation:

These angles provided are alternate interior angles. That means they are congruent (equal). All you need to do now is answer the equation "8x-4 = 60".

From that you can see that x is 8.

Answer:

the angles are alternate interior angle pair, they are equal

Answer:

41.6 km/h

Step-by-step explanation:

Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h

1 hr 15 min is the same as 1.25 hours

Arban drives 128km/1.25hr or 102.4 km/h

The difference is 102.4-60.8 = 41.6

let's recall, the x,y pairs are just the cosine,sine pairs.

\(\stackrel{ \cos(315^o) ~~ \sin(315^o) }{\left( \cfrac{\sqrt{2}}{2}~~,~-\cfrac{\sqrt{2}}{2} \right)}\hspace{4.5em}\tan(315^o)\implies \cfrac{\sin(315^o)}{\cos(315^o)} \implies \cfrac{ ~~ -\cfrac{\sqrt{2}}{2} ~~ }{\cfrac{\sqrt{2}}{2}}\implies \text{\LARGE -1}\)

Answer:

50 cents

Step-by-step explanation:

Since 1 dollar is too much, then try 50 cents. Then it worked.

Answer:

Step-by-step explanation:

The answer is actually

Let:

S=1+2+3+4+5+6+7+8+9+n

We know the answer to the following infinite sum:

S2=1-1+1-1+1-1+1-1+1-1+1-1+1-....= - 1/2

We can therefore solve for this sum:

S3=1-2+3-4+5-6+7-8+9-....

We add them:

S3=      1-2+3-4+5-6+7-8...

S3=       +1-2+3-4+5-6+7-8...

        ________________

2S3=    1-1+1-1+1-1+1-1+1-....

Therefore:

2S3=S2=

Answer:

Fill in the blanks to declare sum equal to a + b (int _ = a __b)Which of the following is not a valid variable name in python?What shape represents the start and end of a flowchart?Which of the following is not a valid variable name in python?An integer data type can hold decimal values.Which of the following is not a valid variable name in python?An integer data type can hold decimal values.Which of the following is not a valid variable name in python?Fill in the blanks to declare sum equal to a + b (int _ = a __b)Variables must be defined with a name and a data type before they

can be usedAn integer data type can hold decimal values.Which of the following is not a valid variable name in python?Fill in the blanks to declare sum equal to a + b (int _ = a __b)Variables must be defined with a name and a data type before th

Answer:

37.7 m

Step-by-step explanation:

Use this formula:

A=2πrh+2π\(r^{2}\)

Answer: A=12pi

Step-by-step explanation:

A= 2*pi*R*H + 2*pi*R^2

A=2*pi*1*5 + 2*pi*1^2

A=10pi + 2pi

A=12pi

This represents $0.19 per ounce which is the same as 19 cents per ounce.

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

Explanation:

To find the unit rate, we divide the cost over the number of ounces

(3.79 dollars)/(19.5 ounces) = 0.19435897 dollars per ounce approximately

Round this to the nearest cent, i.e. hundredth, to get 0.19 dollars per ounce. This is the same as saying "19 cents per ounce".

Answer: 0.19

Step-by-step explanation: I had no idea, I searched it up online. Sorry!

Answer:

Equation 1:   x + 3y = 17

Equation 2:  -x + 2y = 8

Add Equation 2 to Equation 1:

     x + 3y = 17

+   -x + 2y = 8

           5y = 25

Divide both sides by 5:

\(\sf \implies \dfrac{5y}{5}=\dfrac{25}{5}\)

\(\sf \implies y=5\)

The range of the function is {1,-1,10} for function f(x)=2x³−3x .

A relation is a function if it has only One y-value for each x-value.

In a function what can go into a function is called the Domain. What may possibly come out of a function is called the Codomain. What actually comes out of a function is called the Range.

The given function is f(x)=2x³−3x

The domain is {-1,1,2}

Now f(-1)=2(-1)³-3(-1)

=-2+3=1

f(1)=2(1)³-3(1)=2-3=-1

f(2)=2(2)³-3(2)=16-6=10

Hence, the range of the function is {1,-1,10} for  f(x)=2x³−3x .

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Answer:

\(\frac{2}{4}\)

Step-by-step explanation:

Remember that in order to find the slope of two points you need to substitute the variables and subtract making sure you keep the 2's and the 1's together.

\(m=\frac{y2-y1}{x2-x1}\)

Plugin your numbers:

\(=\frac{7-5}{9-5}\)

\(7-5=2\)

\(9-5=4\)

\(=\frac{2}{4}\)

Hope this helps.

Answer:

The answer is 8.

Step-by-step explanation:

He is guaranteed to make $240 between 2 and 6 pm every Saturday afternoon. For each time that both of the 2 customers booked for the same hour does not cancel, he earns only $20. Considering that the probability of cancellation is 25%, if he books 8 customers for the 4 hour period on Saturday afternoon, he is making an extra $80 which bumps up his total earnings to $320. If he accepts any booking after 8, each is going to cost him $40. So the total number of reservations he should take is 8.

I hope this answer helps.

Answer:

  x = ±5√2

Step-by-step explanation:

Add x^2 to both sides.

  50 = x^2

Take the square root.

  ±√50 = x

  x = ±5√2 . . . . . simplified roots

The solutions to the quadratic are x = -5√2 and x = 5√2.

Answer:

Step-by-step explanation:

In exponent division, if bases are same, then subtract the powers.

\(\dfrac{x^{7}y^{3}}{xy^{-4}} = x^{7-1}*y^{3-(-4)}\\\\\\=x^{6}*y^{3+4}\\\\=x^{6}y^{7}\)

Hello!

Recall the Properties of Exponents:

\(\bold{\displaystyle\frac{a^m}{a^n} =a^{m-n}}\)

Let's use it to simplify:

\(\bold{\displaystyle\frac{x^7y^3}{xy^{-4}}}\)

x = x¹

\(\bold{\displaystyle\frac{x^6y^3}{y^{-4}}}\)

\(\bold{\displaystyle\frac{x^7y^3}{y^{-4}}}\)

Subtract:

\(\bold{x^6y^{3-(-4)}}\)

Which is the same as

\(\bold{x^6y^{3+4}}\)

Final Answer:

\(\huge\boxed{\mathfrak{Answer:{\boxed{\star{\boxed{\bold{x^6y^7}}}}}}}\)

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

\(\boxed{An~emotional~teen~willing~to~help~you}\)

[<Answer>] (1):
Heyy there, it's Avery. And I'm here to help! :)

----------------------------------------------------------------------------------------------------------[<The Explanation>]:

Let x= number of watches sold

Ethan= x(14) + (20)(1.50)

Roy = x(13.50) + (20)(1.80)

Since they collected the same amount of money:

14x + (20)(1.50) = 13.50x + (20)(1.80)

Combine like terms:

14x - 13.50x = (20)(1.80) - (20)(1.50)

0.50x = 36 - 30

0.50x = 6

x = 6/0.50

x= 12

Ethan sold 12 watches. And also Roy.
Andddd...We're done! :D

----------------------------------------------------------------------------------------------------------
[<Ending>] <3

Hope this helps and if it's wrong, you can't sue me! :D

Bye! Hope this works for you :)

Have a nice day! - Avery <3

Thus, the number of buses needed to carry the 2177 tourists is found as 61.

A number can be divided into an equal amount of component parts.

People may display a variety of signs to denote division. The backslash / is additionally employed, though the character is more typical. Numerous numbers may occasionally be written with a line separating them. It is also known as a fraction.

A division calculation has a name for each component. The dividend, the divisor, and indeed the quotient are the three key terms.

Given data:

Number of tourists carried by 1 bus = 36.

Total number of tourists = 2177.

Number of buses = (Total number of tourists)/(Number of tourists carried by 1 bus)

Number of buses = 2177/36

Number of buses = 60.47

Number of buses =  61

Thus, the number of buses needed to carry the 2177 tourists is found as 61.

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