Rewrite the expression (4x)³ using rational exponents.

Answer: Quedarían nueve

Step-by-step explanation:

The maximum displacement is 5 centimeters.

The time required for one oscillation is π seconds.

The frequency is 1 / π Hz.

Equation to model the motion of the object is x(t) = 5 × cos(2t)

The maximum displacement from equilibrium can be determined by observing that the object is pulled down 5 centimeters from its rest position.

In simple harmonic motion, the amplitude represents the maximum displacement from equilibrium.

The period of oscillation is given as π seconds.

The period (T) is the time required for one complete oscillation.

The frequency (f) is the reciprocal of the period and represents the number of oscillations per unit time.

Thus, the frequency is the inverse of the period: f = 1 / T.

To model the motion of the object, we can use the equation for simple harmonic motion:

x(t) = A×cos(ωt + φ)

A = 5 centimeters (maximum displacement),

T = π seconds (period),

f = 1 / π Hz (frequency).

To find ω, we can use the relation ω = 2π / T:

ω = 2π / π = 2 radians/second.

The equation to model the motion of the object is:

x(t) = 5 × cos(2t)

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Opposite numbers 5 and -5 are opposite because they are an equal distance from zero.

Absolute value, like |-5| = 5, means that the number is at five units of distance from zero.

The opposite of a number is obtained exchanging just the signal of the number.

The opposite of a number x is then given as follows:

-x.

As the number and it's opposite is the same distance from zero, they have the same absolute value.

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Answer:

b

Step-by-step explanation:

\( {x}^{ - \frac{5}{3} } = = = > \\ \frac{1}{x} ^{ \frac{5}{3} } \)

So the root is 3 and the power is 5

finally your answer

\( \frac{1}{ \sqrt[3]{ {x}^{5} } } \)

10 units squared. Hope this helped.

The area of the triangle is 10 square units.

The given coordinates are A(2,0), B(6,0), and C(8,5).

The formula of area of triangle formula in coordinate geometry is the area of the triangle in the coordinate geometry is:  \(A=\frac{1}{2} |x_{1} (y_{2}-y_{3})+x_{2} (y_{3}-y_{1})+x_{3} (y_{1}-y_{2})|\)

Now, Area=1/2|2(0-5)+6(5-0)+8(0-0)|=0.5|20|

=10 square units

Therefore, the area of the triangle is 10 square units.

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Answer:

5/24

Step-by-step explanation:

Step-by-step explanation:

স্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰা

Answer:

(14,-8)

Step-by-step explanation:

Given (6,-1),

Translating (6,-1) 8 units right and 7 units down,

(6,-1)

=(6+8,-1-7)

=(14,-8)

Please mark brainliest.

Answer:

2

Step-by-step explanation:

Answer:

At Christmas time summary

Based on the data recorded by Anna on Saturday, we can estimate the number of people expected to visit The Youth Wing on Sunday.

Let's calculate the proportion of visitors to The Youth Wing compared to the total number of visitors on Saturday:

\(\displaystyle \text{Proportion} = \frac{\text{Visitors to The Youth Wing on Saturday}}{\text{Total visitors on Saturday}} = \frac{382}{382 + 461 + 355}\)

Next, we'll apply this proportion to the total number of visitors on Sunday to estimate the number of people expected to go to The Youth Wing:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times \text{Total visitors on Sunday}\)

Now, let's substitute the values into the equation and calculate the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355}\)

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times 800\)

Calculating the proportion:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355} = \frac{382}{1198}\)

Calculating the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \frac{382}{1198} \times 800\)

Simplifying the equation:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx \frac{382 \times 800}{1198}\)

Now, let's calculate the approximate number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx 254\)

Therefore, based on the data recorded on Saturday, we can estimate that around 254 people should be expected to go to The Youth Wing on Sunday.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Respuesta:

2/9

Explicación paso a paso:

Dado que :

tarjeta numerada = 1 - 15

Probabilidad de obtener un número no menor o igual a 5

Número de cartas no menor o igual a 5:

Tarjeta no ≤ 5 = (6,7,8,9,10,11,12,13,14,15) = 10

Probabilidad = resultado requerido / Total de resultados posibles

P (Tarjeta no ≤ 5) = 10/15 = 2/3

Número de cartas menor o igual a 5:

Tarjetas ≤ 5 = 1, 2, 3, 4, 5

P (Tarjeta ≤ 5) = 5/15 = 1/3

P (Tarjeta no ≤ 5) * P (Tarjeta ≤ 5)

2/3 * 1/3 = 2/9

Calcularemos la probabilidad del evento combinado para obtener: P = 0.22

La probabilidad de sacar una carta menor o igual a 5 es igual al cociente entre el numero de cartas con un número menor o igual a 5 y el número total de cartas en el mazo.

Tenemos 5 cartas con un número igual o menor a 5 y un total de 15 cartas, así que la probabilidad es:

p = 5/15

La probabilidad de que no le salga una carta menor o igual a 5 es calculada de la misma forma, hay 10 cartas que no son menores o iguales a 5 y un total de 15 cartas, entonces tenemos:

q = 10/15

La probabilidad conjunta es simplemente el producto de esas dos probabilidades, así obtenemos:

P = (10/15)*(5/15) = 10/45 = 0.22

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Answer:

it is unlikely that the spinner lands on pink. ​

Step-by-step explanation:

\(1- \frac{1}{8}\\ = 7/8\)

There is 7/8 chance it is not going to land on pink

Lucia's sister has n - 10 dollars.

We can create an equation to depict the relationship between Lucia's and her sister's financial situations if Lucia has n–10 dollars and her sister has $10.00 more.

Assume that Lucia's sister has $x. We can write the equation using the information provided:

n - 10 = x

According to this formula, Lucia's wealth (n-10) is equivalent to her sister's wealth (x). We may find the quantity for Lucia's sister by rearranging the equation as follows:

x = n - 10

Therefore, Lucia's sister has n - 10 dollars.

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Answer:

\(5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Step-by-step explanation:

\(f(x)=x^5\\f'(x)=5x^4\\g(x)=1-\frac{5}{x+8}\\g'(x)=\frac{5}{(x+8)^2}\\\\\frac{d}{dx}f(x)g(x)\\\\=f'(x)g(x)+f(x)g'(x)\\\\=5x^4(1-\frac{5}{x+8})+x^5(\frac{5}{(x+8)^2})\\\\=5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Answer:

The answer for A is A- 3.75

And the answer for B is B- 16

Answer:

The x intercept is (2,0)

The y intercept is (0,4)

Step-by-step explanation:

y = 4 - 2x

To find the x intercept, let y =0 and solve for x

0 = 4 - 2x

Subtract 4 from each side

-4 = -2x

Divide by -2

-4/-2 = -2x/-2

2 =x

The x intercept is (2,0)

To find the y intercept, let x =0 and solve for y

y = 4 - 2*0

y = 4

The y intercept is (0,4)

2-4 is -2 and -5 times -2 is 10 divided by 2 is 5 and 5 +3 is 8. and 8 times 3 is 24. PEMDAS

Answer:

→24

Step-by-step explanation:

Evaluate: {3+[−5(2−4)÷2]}⋅3

= {3+[-5(2-4)÷2]}.3

= {3+[-5(-2)÷2]}.3

= {3+[10÷2]}.3

= {3+[10÷2]}.3

= {3+[10÷2]}.3

= {3+[10/2]}.3

= {3+[5]}.3

= {3+5}.3

= 8.3

= 8*3

= 24 Ans.

Final speed after slowing down by 15 miles per hour and reducing the speed by one third is 25 miles per hour.

Let's break down the steps to determine the final speed:

Step 1: Convert the speed from miles per minute to miles per hour.

Since you're driving one and a half miles per minute, we need to convert it to miles per hour. There are 60 minutes in an hour, so we multiply 1.5 by 60 to get 90 miles per hour.

Step 2: Slow down by 15 miles per hour.

Subtract 15 from the initial speed of 90 miles per hour, resulting in 75 miles per hour.

Step 3: Reduce the speed by one third.

To find one third of 75 miles per hour, we divide it by 3, which gives us 25 miles per hour.

Therefore, the final speed after slowing down by 15 miles per hour and reducing the speed by one third is 25 miles per hour.

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Answer:

slope (m) = 2/3

Step-by-step explanation:

slope = change in x /change in y

Also, slope is y2 - y1 / x2 -x1. That is what I apply for this activity, hence:

slope = 3 - (-1) / 0 - (-6)

         = 3 + 1 / 0 + 6

         = 4 / 6

         = 2/3

∴ slope(m) = 2/3

Answer:

648

Step-by-step explanation:

It will round down (since 4 and down round down) to 600. Therefore, the answer is 648.

Hope that helps!

-Sabrina

Answer:

648

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

19

+

19

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

38

The correct statement regarding the histogram is given as follows:

The data is bimodal, with a maximum range of 24. This means that the tide was frequently between 6 to 10 or 16 and 20 feet.

An histogram is a graph that shows the number of times each element of x was observed.

Hence the number of observations of each interval is:

Here are two similarly high bins, hence the distribution can be said to be bimodal, with maximum range given as follows:

25 - 5 = 21 - 1 = 20.

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Answer: its d

Step-by-step explanation:

Answer:

m=92.3 g.

Step-by-step explanation:

D=m/v ⇒ m=d*vd=densitym=massv= volumed(ether)=0.71 gr/cm³=0.71 gr/ mlv=130 mlm=d* vm=0.71 gr/ml*(130 ml)=92.3 gSolution: m=92.3 g.

Answer:

130 grams................

Answer:

D. Completely randomized design

Step-by-step explanation:

Based on the description given about the experiment above and the manner in which the subjects were assigned to each of the treatment groups available, we can deduce that the study was conducted using a completely randomized design. The subjects weren't matched or blocked for any variable such as sex, height, age or any other variable. They were just evenly split randomly into the two available treatment levels ( those who receive the treatment and the placebo) group. With this design, all subjects have an equal chance of being in any of the two groups and the selection bias is almost totally eliminated using this sort of design as errors are being considered as arising from experimental faults.

Answer:

We can use the formula for the present value of an annuity:

PV = PMT x [(1 - (1 + r)^(-n)) / r]

where PV is the present value, PMT is the monthly payment, r is the monthly interest rate, and n is the number of payments.

Substituting the given values, we have:

PV = $31.48 x [(1 - (1 + 0.152/12)^(-18)) / (0.152/12)]

PV = $31.48 x [(1 - 0.5159) / 0.0127]

PV = $1,007.97

Therefore, the equivalent cash price of the iPod is $1,007.97.

9514 1404 393

Answer:

  (-3, 3)

Step-by-step explanation:

The blanks are trying to lead you through the process of finding the point of interest.

__

The horizontal distance from T to S is 9 . (or -9, if you prefer)

The ratio you're trying to divide the line into is the ratio that goes in this blank:

Multiply the horizontal distance by 2/3 . (9×2/3 = 6)

Move 6 units left from point T.

The vertical distance from T to S is 6 .

Multiply the vertical distance by 2/3 . (6×2/3 = 4)

Move 4 units up from point T.

__

Point T is (3, -1) so 6 left and 4 up is (3, -1) +(-6, 4) = (3-6, -1+4) = (-3, 3). The point that is 2/3 of the way from T to S is (-3, 3).

The height should you drop an object in order for it to have a velocity of 80 ft/sec is: 99.4 feet.

V = √2ha

80=√2(h)32.2

80²=√2(t) (32.2)²

6400=2(t) (32.2)²

Divide both sides by 32.2 to get 2t

6400/32.2=2(t) (32.2)/32.2

198.75776397=2(t)

Divide both sides by 2 to get t

198.75776397/2=2(t)/2

Hence,

99.4 feet

Therefore the height should you drop an object in order for it to have a velocity of 80 ft/sec is: 99.4 feet.

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