Two points are shown on the number line. Problem Which value is best represented by the point Q

Answer: answer is. B

Step-by-step explanation:

The null hypothesis that will be used by the founders of the SAT preparation course would use by virtue of the description is; H_0; mean = 492 while the alternative hypothesis H_1; mean > 492.

Null and alternative hypotheses are statistical terms used in hypothesis testing of data. It therefore follows that the null hypothesis of such a test always predicts no effect or no relationship between variables, while the alternative hypothesis on the other hand states one's research prediction of an effect or relationship.

It therefore follows from the paragraph above that the alternative hypothesis is described by the statement that the mean score is greater than 492.

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The end behavior of the function f(x) describes the behavior of the function as x approaches the +∞  f(x) approaches to 1/2 and the x approaches the -∞  f(x) approaches to 1/2.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

\(\rm f(x) = \dfrac{4x-7}{8x+8}\)

For the end behavior:

As x → ∞  f(x) → 1/2

And x → -∞ f(x) → 1/2

Thus, the end behavior of the function f(x) describes the behavior of the function as x approaches the +∞  f(x) approaches to 1/2 and the x approaches the -∞  f(x) approaches to 1/2.

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Answer: As x increases to negative infinity, f(x) increases to 0.5; as x increases to infinity, f(x) increases to 0.5.

Proof of validity is shown below.

Answer:

1) 100 degrees F

2) 50 degrees F

Step-by-step explanation:

its just simple subtraction

Answer:

5.5

Step-by-step explanation:

Take circumference and divide by pi to get the diameter

34.54 / 3.14 = 11

Half of the diameter is the radius

Answer: I'd say 5.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

3

Answer:

If you begin with the graph for f(x) and then substituted x+3 for x, the effect on the graph will be to move the whole graph 3 units to the left.  

Given that (-9,-1) is on the graph of f(x), and that we are to move the entire graph 3 units to the left, then the coordinate -9 becomes -9-3, or -12:  (-12,-1).

Step-by-step explanation:

There are 2,772 possible 4-digit pin codes where exactly one digit appears more than once.

To calculate the number of pin codes where exactly one digit appears more than once, we can use the following formula:

Number of pin codes = (Number of ways to choose the repeated digit) x (Number of ways to arrange the digits)

There are 10 ways to choose the repeated digit (any digit from 0 to 9), and there are 4 ways to arrange the repeated digit (it can appear in any of the four positions). Then, there are 9 choices for the remaining digit (any digit except for the repeated one), and 3 ways to arrange it (it cannot appear in the same position as the repeated digit). Therefore, the number of pin codes where exactly one digit appears more than once is:

Number of pin codes = 10 x 4 x 9 x 3 = 2,772.

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Answer:

By making x = -3

Step-by-step explanation:

If X was -3 then -3 plus 3 equals 0, and 2 multiplied by 0 is 0, so the problem will have no solution.

Hope this helps! :)

Answer:

4 years

Step-by-step explanation:

$42 interest every year
168/42 = 4
Let me know if this helps

Answer:

Hey there!

Discrete Data is the number of friends you invited to your last birthday party.

Hope this helps :)

Answer:

a) The number of friends you invited to your last party.

Step-by-step explanation:

Let’s take a step back what is discrete, and what continuous?

Discrete

This is the type of data with certain whole numbers not 2.36 only 2 or 3.

Continuous

This is the data being specific like 1.373.

So a)

The is discrete because you can only have like 5 friends not 7.49 friends.

b)

This is continuous because height can be 5.26 feet.

c)

Time is continuous because there can be 4.3739 minutes.

d)

Weight is also continuous it can be 6339.373 pounds.

Answer:

23+11

Hope that helps  :)

Answer:

31+3

Step-by-step explanation:

2,3,5,7,11,13,17,19,23,27,29,31

31+3=34

The solutions to the equation 5x³ = 5x² + 12x are:

x = 0, x = (1 + √10.6) / 2, and x = (1 - √10.6) / 2.

The equation 5x³ = 5x² + 12x can be solved as follows:

Divide both sides of the equation by 5x:

x³ = x² + 2.4x

Rearrange the equation to bring all terms to one side:

x³ - x² - 2.4x = 0

Now, factor out an x from the left side:

x(x² - x - 2.4) = 0

To find the roots of the equation, set each factor equal to zero and solve for x:

1. x = 0

This gives us one solution, x = 0.

2. x² - x - 2.4 = 0

We can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation, a = 1, b = -1, and c = -2.4. Substituting these values into the formula, we get:

x = (-(-1) ± √((-1)² - 4(1)(-2.4))) / (2(1))

x = (1 ± √(1 + 9.6)) / 2

x = (1 ± √10.6) / 2

So, the remaining solutions are given by:

x = (1 + √10.6) / 2 and x = (1 - √10.6) / 2.

Therefore, the solutions to the equation 5x³ = 5x² + 12x are:

x = 0, x = (1 + √10.6) / 2, and x = (1 - √10.6) / 2.

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Answer:

36/5 or 7 1/5 or 7.2

(These are all different forms of the same answer)

Method:

2 1/4 = 9/4

3 1/5 = 16/5

9/4 × 16/5 = 144/20

144/20 = 36/5

Answer:

the answer is b

Step-by-step explanation:

Answer: 26

Step-by-step explanation:

cut 3 and 15

cut 5/10 which was 15/10

15/10=2

then multiply 13*2 = 26

Answer:

x = 48

Step-by-step explanation:

Given a secant and a tangent from an external point to the circle, then

the product of the external part and the entire secant is equal to the square of the measure of the tangent , that is

2(2 + x) = 10² = 100 ( divide both sides by 2 )

2 + x = 50 ( subtract 2 from both sides )

x = 48

Answer:

13

Step-by-step explanation:

in which i think you need the variable first you move the 2 with the minus symbol and get 3+(-2)=1 and then you get 1+2h you subtract 1 from 27 and get 26 then 2h=2x13.

Using translation concepts, the coordinates of the vertices after a reflection over the y-axis are:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The rule for a reflection over the y-axis is given by:

(x,y) -> (-x,y).

Hence the coordinates of the vertices after a reflection over the y-axis are:

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Answer:

Alex has 3x dollars and an extra 15 dollars in his coat pocket. He buys a new Nike shoe for 84 dollars. How much money did Alex spend that was not in his pocket.

Step-by-step explanation:

Answer:

Part A: Word problem

Maria went to the store and purchased some books for her book club. Each book cost $3, and she also bought some bookmarks at $15 each. Maria's total purchase, including tax, amounted to $84. If Maria bought x books, write an equation to represent the situation.

Part B: Solution

To solve the equation 3x + 15 = 84, we need to isolate the variable x on one side of the equation.

Step 1: Subtract 15 from both sides of the equation to eliminate the constant term on the left side:

3x + 15 - 15 = 84 - 15

3x = 69

Step 2: Divide both sides of the equation by 3 to isolate x:

3x/3 = 69/3

x = 23

So, the solution to the equation is x = 23.

Part C: Explanation

In the given equation 3x + 15 = 84, the variable x represents the number of books Maria purchased. The equation states that the cost of x books at $3 each, represented by 3x, plus the cost of $15 for bookmarks, totals to $84. Thus, the value of x represents the number of books Maria bought in this scenario. In the solution, x = 23, it means Maria purchased 23 books for her book club.

Step-by-step explanation:

1) Domain -4,-5 and 6. range [2,10]

2) Its a function.

3) It's not a one to one function.

If no two items in the domain of f correspond to the same element in the range of f, then the function f is 1 -to-1. In other words, there is precisely one image in the range for each x in the domain.

1) Domain of function would be, -4,-5 and 6 and range is [2,10]

2) The given is a function.

3) It is One to many function. Hence it's not a one to one function.

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In order to determine how long the pipe connector must be, we can use the Pythagorean Theorem.

where "a" and "b" are either run or set in the diagram while "c" is the length of the pipe.

Let's say "a" is run which is 32 ft and "b" is the set which is 21 ft. Let's plug this into the formula above.

Then, solve for c.

Get the square root on both sides of the equation.

Hence, the pipe connector must be 38.28 ft.

To determine the angle, we can use either the cosine or sine functions.

For angle "a", we can use the sine function and we use the set and the length of the pipe connector.

Using the calculator, the value of angle theta is:

The measure of angle "a" is approximately 33.27°.

For angle "b", we can use the sine function and we use the run and the length of the pipe connector.

The measure of angle "b" is approximately 56.73°.

Answer:

See below

Step-by-step explanation:

Run and rise and x   form a right triangle    ...use pythag theorem

  x^2 = 32^2 + 21^2        shows x = 38.28 ft

Right triangle    tan (angle ) = opposite leg / adjacent leg

 angle a = arctan ( 21/32) = 33.27°      angle b = arctan (32/21) = 56.73°

Answer:

C. 19 feet

Step-by-step explanation:

Circumference formula 2πr= 2π(3)= 18.85. Round up to 19 feet

Step-by-step explanation:

Use the equation ?/45.20 = 35\100 and what you get is your answer

Hope this helps

To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we can integrate the function from the lower bound of θ to the upper bound of θ and take the absolute value of the integral.

To find the area of the region formed by two petals of r = 8sin(3θ), we can integrate the function over the appropriate range of θ and take the absolute value of the integral. To find dy/dx for the given parametric equations x = t^(1/3) and y = 3 - t, we differentiate y with respect to t and x with respect to t and then divide dy/dt by dx/dt.

To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|. In this case, the lower bound and upper bound of θ will depend on the range of values where the function is below the polar axis. By integrating the expression, we can find the area of the region. To find the area of the region formed by two petals of r = 8sin(3θ), we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|.

The lower bound and upper bound of θ will depend on the range of values where the function forms the desired shape. By integrating the expression, we can calculate the area of the region. To find dy/dx for the parametric equations x = t^(1/3) and y = 3 - t, we differentiate both equations with respect to t. Taking the derivative of y with respect to t gives dy/dt = -1, and differentiating x with respect to t gives dx/dt = (1/3) * t^(-2/3). Finally, we can find dy/dx by dividing dy/dt by dx/dt, resulting in dy/dx = -3 * t^(2/3).

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Answer:

Para compartir 7 alfajores entre 4 niños y niñas para que no quede nada, a cada niño y niña se les debe dar 7/4 alfajores

Step-by-step explanation:

Al compartir 5 alfajores, entre 3 niños y niñas, los alfajores se cortan en tres partes cada uno de manera que cada niño y niña recibe 5/3 piezas de alfajore

Luego, la pregunta es, ¿cómo se pueden compartir 7 alfajores entre 4 niñas y niños sin que quede nada?

Por el proceso de compartir ejemplos, obtenemos;

Cada alfajores debe dividirse en el número total de niños y niñas, que son cuatro piezas cada uno.

El número total de 1/4 piezas = 7 × 4 = 28 piezas de 1/4 alfajores

Cada niño y niña recibe 7 de las piezas de 1/4 alfajores

El número total de alfajores, n, compartidos entre los cuatro niños y niñas viene dado por la expresión;

n = 7 (1/4 alfajores) × 4 = 28 piezas de 1/4 alfajores

Por lo tanto, para compartir 7 alfajores entre 4 niños y niñas para que no quede nada, cada niño y niña debe recibir 7/4 alfajores.

The vector equation of the line tangent to the graph of r(t) at the point P0(-1, 2) is (-1 + 2t)i + (2 + √3t)j.

For the vector equation of the line tangent to the graph of r(t) at the point P0(-1, 2), we need to find the derivative of r(t) with respect to t and evaluate it at t = t0.

We have:

r(t) = (2t - 1)i + (√3t + 4)j

P0(-1, 2)

To find the derivative of r(t), we differentiate each component with respect to t:

r'(t) = (2)i + (√3)j

Now, let's evaluate r'(t) at t = t0. Since P0 is the point on the curve, we can substitute t = t0 = -1 into r'(t):

r'(-1) = (2)i + (√3)j

Therefore, the vector equation of the line tangent to the graph of r(t) at the point P0(-1, 2) is:

r(t) = P0 + t * r'(-1)

Substituting the values:

r(t) = (-1)i + 2j + t * [(2)i + (√3)j]

Simplifying, we get:

r(t) = (-1 + 2t)i + (2 + √3t)j

So, the vector equation of the line tangent to the graph of r(t) at the point P0(-1, 2) is (-1 + 2t)i + (2 + √3t)j.

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Answer:

1) D. \(6\sqrt{120}\), 2) C. \(2\sqrt{56}q^{2}\), 3) C. \(\frac{4\sqrt{11}}{11}\)

Step-by-step explanation:

1) We proceed to simplify the expression given in statement:

(i) \(2\sqrt{10}\cdot 3\sqrt{12}\) Given

(ii) \((3\cdot 2)\cdot (\sqrt{10}\cdot \sqrt{12})\) Commutative and associative properties

(iii) \((3\cdot 2)\cdot (10^{0.5}\cdot 12^{0.5})\) Definition of square root.

(iv) \(6\cdot (10\cdot 12)^{0.5}\) Definition of multiplication/\(a^{c}\cdot b^{c} = (a\cdot b)^{c}\)

(v) \(6\sqrt{120}\) Definition of multiplication/Definition of square root/Result

Answer: D

2) We proceed to simplify the expression given in statement:

(i) \(\sqrt{14}q \cdot 2\sqrt{4}q\) Given

(ii) \(2\cdot (\sqrt{14}\cdot \sqrt{4})\cdot (q\cdot q)\) Commutative and associative properties

(iii) \(2\cdot (14^{0.5}\cdot 4^{0.5})\cdot q^{2}\) Definition of square root/Definition of power.

(iv) \(2\cdot (14\cdot 4)^{0.5}\cdot q^{2}\)    \(a^{c}\cdot b^{c} = (a\cdot b)^{c}\)

(v) \(2\sqrt{56}q^{2}\) Definition of multiplication/Definition of square root/Result

Answer: C

3) We proceed to simplify the expression given in statement:

(i) \(\frac{4}{\sqrt{11}}\) Given

(ii) \(\frac{4}{\sqrt{11}}\cdot \frac{\sqrt{11}}{\sqrt{11}}\) Modulative property/Existence of multiplicative inverse.

(iii) \(\frac{4\sqrt{11}}{\sqrt{11}\cdot \sqrt{11}}\)  \(\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}\)

(iv) \(\frac{4\sqrt{11}}{11^{0.5}\cdot 11^{0.5}}\) Definition of square root.

(v) \(\frac{4\sqrt{11}}{11}\) \(a^m\cdot a^{n} = a^{m+n}\)/Result

Answer: C

Answer:

143.2

Step-by-step explanation:

just add them together then divided by 10