Find the product. Enter the product in simplest form. 7/8 x 7=

To find the magnitudes of the velocity (v) and acceleration (a) and the angles they make with the x-axis at t = 4.1 s, we need to differentiate the given equations for x and y with respect to time (t).

Given:

x = 1.3t^2 - 6.6t

y = 2.8t^2 - (t^3)/4.0

Velocity (v):

The velocity is the rate of change of position with respect to time. It can be calculated by taking the derivatives of x and y with respect to t:

vx = dx/dt = d/dt(1.3t^2 - 6.6t)

vy = dy/dt = d/dt(2.8t^2 - (t^3)/4.0)

Calculate vx and vy by differentiating the expressions:

vx = 2.6t - 6.6

vy = 5.6t - (3t^2)/4.0

At t = 4.1 s, substitute t = 4.1 into vx and vy to find the components of the velocity vector at that time.

Acceleration (a):

The acceleration is the rate of change of velocity with respect to time. We can calculate it by taking the derivatives of vx and vy with respect to t:

ax = d(vx)/dt = d/dt(2.6t - 6.6)

ay = d(vy)/dt = d/dt(5.6t - (3t^2)/4.0)

Calculate ax and ay by differentiating the expressions:

ax = 2.6

ay = 5.6 - (3t)/2.0

Again, substitute t = 4.1 s into ax and ay to find the components of the acceleration vector at that time.

Angles with the x-axis (θx):

To find the angles that the velocity and acceleration vectors make with the x-axis, we can use the inverse tangent function:

θx = arctan(vy / vx)

Calculate θx using the values of vx and vy at t = 4.1 s.

Substitute the values of v, a, and θx into the answers to complete the solution.

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Answer:

There is a answer to the question

Answer:

Inequality Form:

x

<

33

4

Interval Notation:

(

−

∞

,

33

4

)

Step-by-step explanation:

Regarding the relative maximums and relative minimums of the functions, we have that:

8. Functions h(x) and k(x) have relative maximums.

9. f(x) has one relative maximum and g(x) has two relative maximums.

In item 8, we want relative maximums, hence points in which the functions change from increasing to decreasing, hence the functions that have it are: h(x) and k(x).

In item 9, we have that:

Hence the sentence is:

f(x) has one relative maximum and g(x) has two relative maximums.

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Answer:

  82/99

Step-by-step explanation:

1. Notice the length of the repeating pattern.

  the pattern is 82 repeating, a 2-digit pattern

2. Notice where the repeating pattern starts, relative to the decimal point.

  the repeating starts at the decimal point

3. If the repeating starts at the decimal point, use a pattern of repeating 9s of the same length as the denominator of the fraction

  2 nines are the denominator: 82/99

4. Reduce the fraction if possible

  this fraction cannot be reduced

As a simplified fraction, 0.828282... = 82/99

_____

Comment on more complicated cases

If the repeat does not start at the decimal point, or if the number contains an integer part, then the numerator of the fraction is found in a slightly different way. Let n be the number of repeating digits of the number x. The fraction is then ...

  (10^n·x -x)/(10^n -1)

Example:

  1.2345345345...        a number with a 3-digit repeat not starting at the decimal point

  (1234.5345... -1.2345...)/(1000 -1) = 1233.3/999  = 4111/3330

The multiplication by 10^n aligns the repeating parts so they cancel when you do the subtraction.

Answer:

\(y=-3x\)

Step-by-step explanation:

Answer:

Step-by-step explanationAl final de esta lección, debes ser capaz de:

Reconocer una relación de variación directa

Encontrar la fórmula de una relación de variación directa

Resolver problemas verbales asociados con variaciones directas

Introducción

x = Horas Trabajadas 0 1 2 3 4

y = Dólares Ganados 0 3 6 9 12

La tabla anterior muestra la relación entre las horas trabajadas y el dinero en dólares, que obtuvo Juan trabajando a razón de $3.00 por hora. En esta tabla, podemos ver que el dinero ganado es igual al producto de las horas trabajadas por 3. Otra manera de decir eso es que la constante de variación o proporción es igual o 3. También se puede observar que cada vez que x aumenta en un 1, la variable y aumenta en 3. Otra manera de decir eso es que la razón de cambio es igual a 3.

En la aplicación de abajo, mueve el botón de la barra “constante de variación” a 3. Observa que los puntos de la gráfica coinciden con los valores en la tabla, y que con cada aumento de 1 en x, la variable y aumenta 3 y que la relación entre las variables es y = 3 × x .

Lo sentimos, pero la GeoGebra Applet no se pudo iniciar. Por favor, asegzrese de que Java 1.4.2 (o posterior) esta instalado y activo en su navegador ( Haga clic aqum para instalar Java ahora )

Cajas de Leche 0 1 2 3 4

Botellas de Leche 0 4 8 12 16

Si cada caja de leche contiene 4 botellas, la tabla anterior muestra la relación entre el número de cajas de leche y el número de botellas que contienen. En esta tabla, podemos ver que el número de botellas de leche se obtiene multiplicando el número de cajas de leche por 4.

En la aplicación de arriba, mueve el botón de la barra constante de variación a 4. Observa que los puntos de la gráfica coinciden con los valores en la tabla, y que con cada aumento de 1 en x, y aumenta 4 y que la relación entre las variables es y = 4 × x.

.

Cantidad de dólares 0 1 2 3 4

Cantidad de galletas que se puede comprar 0 2 4 6 8

Si una galleta cuesta 50 centavos, la tabla anterior muestra la relación entre la cantidad de dólares y la cantidad de galletas que se puede comprar. En esta tabla, podemos ver que la cantidad de galletas se obtiene multiplicando la cantidad de dólares por 2.

En la aplicación de arriba, mueve el botón de la barra constante de variación a 2. Observa que los puntos de la gráfica coinciden con los valores en la tabla, y que con cada aumento de 1 en x, la variable y aumenta en 2 y que la relación entre las variables es y = 2 × x

.

En todas estas relaciones de los ejemplos anteriores, una variable es igual a otra variable multiplicada por una constante distinta de cero. Estas relaciones se conocen como proporciones directas o variaciones directas.

Definición

Dadas dos variables x y y, los enunciados:

y varía directamente como x,

y es directamente proporcional a x y

y es proporcional a x

todos significan que y = kx, para algún número real fijo k.

Al número k se le llama la constante de variación o constante de proporcionalidad. El valor de k también representa la razón de cambio de la relación. Es decir, cada aumento de 1 en x va a corresponder a un aumento de k en y.

Pasos para hallar la Fórmula para Relaciones de Variación Directa

Las relaciones de variación directa tienen la forma y = kx donde x y y son variables y k es una constante distinta de cero. La fórmula para una relación de variación directa se puede hallar mediante los siguientes pasos:

Paso 1: Traducir el enunciado a una fórmula de variación directa.

y es directamente proporcional a x significa

y =k·x

Paso 2: Sustituir las variables conocidas para encontrar k.

Paso 3: Sustituir k y escribir la fórmula.

Ejemplos

Ejemplo 1

u es proporcional a v. Si u = 16 cuando v = 4, escribe la fórmula para la relación entre u y v.

Paso 1: Traducir el enunciado a una fórmula de variación directa.

u es proporcional a v significa

u =k·v

Paso 2: Sustituir valores conocidos para encontrar k.

16 = k· 4

k=164=4

Paso 3: Sustituir k y escribir la fórmula.

u =4v

Conclusión: la fórmula para expresar la relación entre u y v es u =4v

Ejemplo 2

p varía directamente como z. Si p = 210 cuando z = 200, escribe la fórmula para expresar la relación entre p y z .

Paso 1: Traducir el enunciado a una fórmula de variación directa.

p varía directamente como z significa

p = k·z

Paso 2: Sustituir valores conocidos para encontrar k.

210 = k· 200

k=210200=1.05

Paso 3: Sustituir k y escribir la fórmula.

p =1.05z:

Answer:

A, B, D, F On edge!

Step-by-step explanation:

Have a good day! :3

Answer:

x is -34/3 and -26/3

Step-by-step explanation:

Given the expression

3|1/2x+5| + 7 = 5

Removing the modulus sign

3(1/2x+5) + 7 = 5

Subtract 7 from both sides

3(1/2x+5) + 7 - 7= 5 - 7

3(1/2x+5) = -2

Open the bracket

3/2 x + 15 = -2

Subtract 15 from both sides

3/2 x + 15-15 = -2 - 15

3/2 x = -17

3x = -2*17

3x  = -34

x = -34/3

Hence the value of x is -34/3

For the negative function:

3(1/2x+5) + 7 = 5

Subtract 7 from both sides

3(-(1/2x+5)) + 7 - 7= 5 - 7

3(-1/2x-5) = -2

Open the bracket

-3/2 x - 15 = -2

Add 15 from both sides

3/2 x + 15-15 = -2 + 15

-3/2 x = 13

-3x = 2 * 13

-3x  =26

x = -26/3

Hence the value of x is -26/3

Answer:

  a)  140°

  b)  20°

  c)  27°

Step-by-step explanation:

You want the measures of various arcs and angles in the given figure.

An angle inscribed in a circle has half the measure of the arc it subtends. The angle at a tangent (angle NRQ, for example) is a special case. It, too, has half the measure of the arc subtended.

Arc NPR is the arc subtended by the angle NRQ, so will have double the measure of that angle.

  arc NPR = 2 × ∠NRQ = 2×70°

  arc NPR = 140°

Secant NS divides the circle into two arcs of 180° each. As we found in part (a), arc NR is 140°, so the remaining arc in that half of the circle is ...

  180° -140° = 40°

Inscribed angle RNS has half the measure of this arc, so is ...

  ∠RNS = (1/2)(40°)

  ∠RNS = 20°

Angle RNQ subtends arc PR, which is what is left of 140° arc NR after 86° arc NP is subtracted.

  arc PR = 140° -86° = 54°

Angle RNQ is half the measure of this arc, so is ...

  ∠RNQ = (1/2)(54°)

  ∠RNQ = 27°

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The relationship between DE and AC of the similar triangles is;

DE = ¹/₂AC

Similar triangles are defined as triangles that have the same shape, but then their sizes may very well defer. This means that all equilateral triangles, squares of any side lengths are some types of similar objects.

Now, if two triangles are said to be similar, then it means that their corresponding angles are congruent and also their corresponding sides would be in equal proportion

From the given image, we can deduce that;

BD = AD (Given)

BE = CE = ¹/₂BC

Thus, from the concept of similar triangles, we can say that;

DE = ¹/₂AC

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Answer:

432

Step-by-step explanation

16 x 54 is 864, half of 864 is 432, therefore Lisa has 432 seeds left. You could also do 8 x 54.

True. A vector in space can be described by specifying its magnitude and its direction angles. The magnitude of a vector represents its length or size, while the direction angles determine the orientation of the vector with respect to a reference axis system.

In three-dimensional space, a vector can be decomposed into its components along the x, y, and z axes. By using trigonometric functions, the direction angles of the vector can be determined. The direction angles are typically measured with respect to the positive x-axis, the positive y-axis, and the positive z-axis.

Once the magnitude and direction angles of a vector are known, the vector can be fully described. This description allows for precise calculations and analysis of vector quantities, such as displacement, velocity, and force, in various physical and mathematical contexts.

It's worth noting that there are alternative ways to describe vectors, such as using Cartesian coordinates or unit vectors. However, specifying the magnitude and direction angles provides a convenient and comprehensive representation of a vector in space.

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Answer:

the answer is B

I hope it helps have a great day

Answer:

2 + n < 14

Step-by-step explanation:

Hey!

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

Let's work this word by word.

"Two more than a number is less than 14"

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

"Two more than"

⇒ 2 +

"A number"

⇒ 2 + n

"Is less than"

⇒2 + n <

"14"

⇒2 + n < 14

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

Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

More Love, More Peace, Less Hate.

       -Aadi x

Answer: x>-1

solving For X

Answer:

x > -1

Step-by-step explanation:

8(7-x)<64 (solve for x)

56 - 8x < 64 (distribute!)

-8x < 8 (subtracted 56 from both sides)

x > -1 (divide by -8, flip sign anytime you divide by a negative!)

hope this helps!

Answer:

20

Step-by-step explanation:

To find the least number of leafs that each collection must have, we find the L.C.M of both numbers. So L.C.M of 4 and 5.

The prime factors of 4 = 2²

The prime factors of 5 = 5

So L.C.M of 4 and 5 = 2² × 5 = 20

So, the least number of leafs that each collection can have is 20 leafs.

The system that sought to ensure the availability of a subservient agricultural labor supply controlled by white people.

Slavery is the practice of forcing individuals to work without pay or freedom. Historically, it has been used as a means of exploiting people for economic gain, and it has been justified on the basis of race, ethnicity, religion, or social status.

In the transatlantic slave trade, which lasted from the 16th to the 19th century, millions of Africans were captured and forcibly transported across the Atlantic Ocean to the Americas, where they were sold into slavery. Slaves were treated as property and denied basic human rights, such as the right to freedom, education, and family.

The system that sought to ensure the availability of a subservient agricultural labor supply controlled by white people is known as "slavery." Slavery was a brutal and inhumane practice that existed in many parts of the world throughout history. In the United States, slavery was primarily used to support the Southern agricultural economy, with enslaved people being forced to work on plantations producing crops such as cotton, tobacco, and sugar cane. The abolition of slavery in the United States was a long and difficult struggle that culminated in the Civil War and the passage of the 13th Amendment to the US Constitution in 1865.

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From the compound interes formula, given by

where A is the future amount, P is the principal value, r is the rate, n is the number of times interest per unit of time t, we have

which gives

Then, since the loan is paid in full at the end of the year, we must paid back: $62,857.80

Answer:

0.65 grams

Step-by-step explanation:

0.5 of a banana is 1/2 of a banana. A full banana has 1.3g which means we can divide this by 2 to find the amount of protein in half a banana. 1.3 ÷ 2 = 0.65. There is 0.65g of protein in 0.5 of a banana.

Hope this helps!

Protein is 0.65 gram in 0.5 of a banana.

How much protein is in 0.5 of a banana?

By Unitary method,we can solve this problem.

But now question is what is the use of Unitary method ?

By some examples we can understand this concept.

Let cost of 5 pens is 50 rupees.

By Unitary method, cost of 1 pen is

\(\frac{50}{5} \\ = 10 \: rupees\)

Cost of 100 pens is \((100 \times 10) = 1000 \: rupees\)

Again length of 1 rope is 5 m

Then by Unitary method length of 5 rope is \((5 \times 5) = 25 \: m\)

Here given,One banana contains 1.3 grams of protein.

According to question we can say one banana has 1.3 grams of protein.

We want to find quantity of protein in 0.5 banana.

We know,

\(0.5 \: of \: banana = \frac{1}{2} \: of \: banana\)

Here quantity of protein in 1 banana is 1.3 grams

So,by Unitary method quantity of protein in \( \frac{1}{2} \) banana is

\((1.3 \times \frac{1}{2} ) \: grams \\ = \frac{13}{10} \times \frac{1}{2} \\ = 0.65 \: grams\)

Therefore 0.5 banana contain 0.65 grams protein.

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Answer:

e

Step-by-step explanation:

Therefore, In the figure, a∥b  angle m∠7 = 34° .

An angle is a figure in Euclidean geometry made up of two rays that share a vertex, or common terminus, and are referred to as the sides of the angle. Angles of two rays lie in the plane containing the rays. Angles can also result from the intersection of two planes. Dihedral angles are the name given to them.

Here,

Given that a and b are parallel lines,

∠3 and ∠7  are corresponding angles and congruent

m∠3 = 34°

thus ,m∠7 =m∠3 = 34°

so, m∠7 = 34°

Therefore, In the figure, a∥b  m∠7 = 34° .

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Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

(a) The length of x is x = 10π mm.

(b) The area of the net cylinder is A = 80π mm².

Given information:

The radius of the sphere is 5 mm.

(a) To find the value of x:

The value of x is described as the circumference of the sphere.

So,

x = 2πr

Here, r = 5 mm.

x = 2π(5)

x = 10π mm.

(b) To find the area of the net cylinder,

use the formula described below,

A = 2πr² + hx.

Here, h = 3 mm, and x = 10π.

A = 2π(5)² + (3)(10π)

A = 50π + 30π

A = 80π mm².

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Answer:

maybe there's a typo, that dot usually represents the multiplication, and I got 5.52

Answer:

y = -x + 10

Step-by-step explanation:

The equation can be written in the form

y= mx + c

where m is slope and c is y-intercept

Slope m;

m = y2-y1/x2-x1 = (2-4)/(8-6) = -2/2 = -1

So the equation is now

y = -x + c

we need to get the y-intercept

To get this we can use any of the given points

4 = -6 + c

c = 4 + 6 = 10

So the relationship will be;

y = -x + 10

The simplification of the given expression using laws of exponents is; (3⁴)⁻¹/3³ = 3⁻⁷

We want to simplify the indices expression which is;

(3⁴)⁻¹/3³

Now, according to Laws of Exponents, we know that;

Applying the above Laws of Exponents, we can solve our expression;

(3⁴)⁻¹/3³ = (3⁴*⁻¹)/3³

⇒ 3⁻⁴/3³

Lastly;

3⁻⁴/3³ =  3⁽⁻⁴ ⁻ ³⁾

⇒ 3⁻⁷

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Answer:

I thought you were quoting danganronpa for a second ...

I hope you feel better!!

Step-by-step explanation:

In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..

1. Scenario: Income distribution of a population

- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.

2. Scenario: Exam scores in a class

- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.

3. Scenario: Housing prices in a city

- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.

Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.

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The value of X = 25.

Solution:

The two equations are

(i) the first condition is difference of x and y is 14

x - y = 14 ---------equation 1

(ii) the second condition of the given data is value of x is 3 times more than two times of y value.

x - 2y = 3 --------equation 2

From equation 2, we have to separate two variables x and y,

x = 3 + 2y  --------equation 3

We have to Substitute equation 3 in equation 1

3 + 2y - y = 14

3 + y = 14

y = 14 - 3

y = 11

Substitute y = 11 in equation 1........

x - 11 = 14

x = 14 + 11

x = 25

So, the value of x is 25 and y is 11.

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Answer:

Step-by-step explanation:

Given the difference of x and y is 14, and the difference of x and 2y is 3, you want two equations, their graph, and the value of x.

The difference of 'a' and 'b' is (a -b). Here, the two differences are expressed as the equations ...

The attachment shows a graph of these equations. Their point of intersection is (25, 11), meaning the value of x is 25.

The graph of the first equation is easily drawn by recognizing the x- and y-intercepts are 14 and -14, respectively.

The graph of the second equation will go through the x-intercept point of (3, 0) and the y-intercept point of (0, -3/2). It is probably easier to graph this by hand by considering the x-intercept point and the slope of 1/2.

Since we're only interested in the value of x, it is convenient to eliminate the variable y. We can to that by subtracting the second equation from twice the first:

  2(x -y) -(x -2y) = 2(14) -(3)

  x = 25 . . . . . . . . . simplify

Answer:

D. 135

here are some extra words for fun (and to fill the necessary 20 characters)

Answer:

corresponding angles, alternate exterior angles

Step-by-step explanation:

when you have to parallel lines cut be a transversal, you get different pairs of angles that are either equal or supplementary (add to 180).

For example, corresponding angles are congruent, and alternate exterior angles are congruent.

The future value of Lexi's investment after 3 years at a 7% annual interest rate would be approximately $2,450.09.

To calculate the future value of Lexi's investment after 3 years with a 7% annual interest rate, we can use the formula for compound interest:

Future Value = Principal * (1 + Interest Rate)^Time

Given:

Principal (P) = $2,000

Interest Rate (R) = 7% or 0.07 (expressed as a decimal)

Time (T) = 3 years

Plugging in the values into the formula:

Future Value = $2,000 * (1 + 0.07)^3

Future Value = $2,000 * (1.07)^3

Future Value = $2,000 * 1.225043

Future Value ≈ $2,450.09

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