What is the name of the individual credited with devising levels of measurement in which different measurement outcomes can be classified?
a. Binet
b. Stevens
c. Cattell
d. Wechsler

Savanna, Georgia is the U. S. City whose area code can be found within the first ten digits of pi.

The ZIP code is the postal code system used by the United States Postal Service (USPS).

The ZIP code for the city of Savanna is 31416.

The number pi is 3.1416.

According to the above, it can be inferred that the city of Savanna, Georgia is the one with the number pi as its ZIP code number.

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The integral \(\int\ {172^249} \, dx /(x^2+9)\) converges.

The integral \(\int\ {(x^2 + 2x - 3)/(7)} \, dx\) can be evaluated to determine if it converges or diverges. Let's calculate the integral and check if it converges:

\(\int\ {(x^2 + 2x - 3)/(7)} \, dx\)  \(= (1/7) \int\ {(x^2 + 2x - 3)} \, dx\)

                    \(= (1/7) * [(1/3) x^3 + x^2 - 3x] + C\)

                    \(= (1/7) * [(1/3) x^3 + x^2 - 3x] + C\)

where C is the constant of integration.

Since the integral has a finite value, it converges. The definite value of the integral can be determined by evaluating it over a specific interval, if provided.

In the case of the second integral, \(\int\ {172^249} \, dx /(x^2+9)\) , we can determine if it converges or diverges. We notice that the integrand is a rational function with a polynomial in the numerator and a quadratic expression in the denominator. When evaluating this type of integral, we need to consider if there are any points where the denominator becomes zero.

In this case, the denominator \(x^2 + 9\) equals zero when x = ±3i, where i represents the imaginary unit. Since the denominator has no real roots, the integral does not diverge at any real point.

Hence, the integral \(\int\ {172^249} \, dx /(x^2+9)\)converges. However, to find its specific value, we need to provide the interval of integration.

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Answer:

5275.2 m³

Step-by-step explanation:

We need the radius first:

\(\sqrt{l^2- h^2}\) = 12

Formula for volume = πr²*h/3

Volume = 3.14 * 144 * 35/3

Volume = 5275.2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

0.6x

Step-by-step explanation:

take 2 points: (0,0) (5,3)

Write it in slope intercept form:

y = 3/5x

3/5 = 0.6x

answer: 0.6x

i hope this is right

The answer is option d. -1.865, as it is the value that satisfies P(Z ≤ b) = 0.0311. The other options (-1.87, -1.86, -1.8) do not correspond to the given cumulative probability.

In this scenario, P(Z ≤ b) represents the cumulative probability of a standard normal distribution up to the value of b. To find the corresponding value of b, we need to find the z-score that corresponds to a cumulative probability of 0.0311.

By looking up the z-table or using a statistical calculator, we can find that the z-score corresponding to a cumulative probability of 0.0311 is approximately -1.865.

Therefore, the answer is option d. -1.865, as it is the value that satisfies P(Z ≤ b) = 0.0311. The other options (-1.87, -1.86, -1.8) do not correspond to the given cumulative probability.

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Answer:

-19

Step-by-step explanation:

put 7 in for x, 9-4(7) 4x7=28 then minus 9=19 but the lower number (9) is before the larger number (28) so the answer is negative.

Answer:

Step-by-step explanation:

Begin by combining like terms and then factoring. Combining like terms will give you

\(10p^2-17p-20=0\) Using the "old-fashioned" way of factoring, the a times c method, our a = 10, b = -17 and c = -20.

a * c = 10(-20) = -200 and now we need the factors of 200 (don't worry about the negative) that combine to give us that middle term, -17p (here is where the negative matters). The factors of 200 are:

1. 200;  2, 100;  4. 50;  5, 40;  8, 25;  10, 20

The combination of those numbers that can be manipulated to give us a -17p is the 8, 25 as long as we say that the 25 is negative and the 8 is positive. Rewrite the original polynomial to reflect those factors:

\(10p^2-25p+8p-20=0\) and then factor by grouping:

\((10p^2-25p)+(8p-20)=0\) and factor out from each set of parenthesis what is common:

\(5p(2p-5)+4(2p-5)=0\) again factor out what is common:

(2p - 5)(5p+ 4) = 0. These are the factors; therefore the solutions are

2p - 5 = 0 so

2p = 5 and

p = 5/2  and

5p + 4 = 0 and

5p = -4 so

p = -4/5

The height of the tree is 6.08 meters.

We are given that;

Base to kays feet= 4.75m, kays feet to end of shadow=1.25m, kays height=1.60m

Now,

To find the height of the tree, you need to use similar triangles. The ratio of the corresponding sides of similar triangles is equal, so you can set up a proportion between the heights and the shadow lengths. You can write your solution as:

1.60/1.25 = h/4.75 h = 1.60/1.25 x 4.75 h = 6.08

Therefore, by the proportions the answer will be 6.08 meters.

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Answer:

y=2x+3

Step-by-step explanation:

the normal charge is 3 + 2 x number of days so this equation is the correct one.

Answer:He can bring up 13.8333333333 boxes each trip

Step-by-step explanation:

970-140= 830

830÷60=13.8333333333

The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.

Let's match each expression with its corresponding value:

Expression: -9

Value: -9

Expression: 7

Value: 7

Expression: -2

Value: -2

Expression: Undefined

Value: Undefined

Expression: h(3.999)

Value: Undefined

Expression: h(4)

Value: 8

Expression: h(4.0001)

Value: Undefined

Expression: h(9)

Value: Undefined

Now let's explain the reasoning behind each value:

The expression -9 represents the number -9, so its value is -9.

Similarly, the expression 7 represents the number 7, so its value is 7.

The expression -2 represents the number -2, so its value is -2.

When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.

For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.

The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.

Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.

Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.

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The trinomial expression of the expression (2x + 6)(2x + 8) is \(4x^2\) + 28x +48

The given expression is

(2x + 6)(2x + 8)

The expression is the combination of the different types of variables, numbers and mathematical operators. The mathematical operators are addition, subtraction, division and multiplication. The equal and inequality sign will not be a part of expression

The trinomial expression is an expression with three terms

The expression is

(2x + 6)(2x + 8)

Apply distributive property

2x(2x+8) + 6(2x+8)

= \(4x^2\) + 16x + 12x + 48

= \(4x^2\) + 28x +48

Hence, the trinomial expression of the expression (2x + 6)(2x + 8) is \(4x^2\) + 28x +48

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Answer:

The speed increases (45—>47—>49) then decreases (48—>47) over time.

Step-by-step explanation:

The table that represents the speed of the car that increases and decreases as time increases is Table B.

Option B is the correct answer.

Speed is the ratio of the given distance and time.

It shows how fast an object is moving at a given time.

The formula is Distance / Time.

We can find the distance or time when the required values is given using this formula.

We have,

From the table,

We see that,

Time      5     6     7      8     9

Speed   45   47   49   48   47

This indicates that,

As time increases, the speed increased from 5 minutes to 7 minutes and decreases from 7 minutes to 9 minutes.

Thus,

The table that represents the speed of the car that increases and decreases as time increases are in Table B.

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The true statement about where a profit maximizing monopoly will produce on a linear demand curve when it has positive marginal cost is a) "The monopoly will produce at the point where marginal revenue equals marginal cost "

To determine the profit-maximizing quantity for a monopoly on a linear demand curve, we need to analyze the relationship between marginal revenue (MR) and marginal cost (MC).

Option a) The monopoly will produce at the point where marginal revenue equals marginal cost. This option is correct. In order to maximize profits, a monopoly will produce at the quantity where MR equals MC. At this point, the additional revenue gained from producing one more unit (MR) is equal to the additional cost incurred to produce that unit (MC).

Option b) The monopoly will produce at the point where marginal revenue is greater than marginal cost. This option is incorrect. Producing at a quantity where MR is greater than MC would mean that the monopoly could increase profits by producing more units.

Option c) The monopoly will produce at the point where marginal revenue is less than marginal cost. This option is incorrect. Producing at a quantity where MR is less than MC would mean that the monopoly could increase profits by reducing the number of units produced.

Option d) The monopoly will produce at the point where marginal revenue is equal to zero. This option is incorrect. Producing at a point where MR is equal to zero would not be profit-maximizing as it does not consider the cost incurred.

Therefore, option a) is the correct answer.

""

Which of the following is true about where a profit-maximizing monopoly will produce on a linear demand curve when it has positive marginal cost?

a) The monopoly will produce at the point where marginal revenue equals marginal cost.

b) The monopoly will produce at the point where marginal revenue is greater than marginal cost.

c) The monopoly will produce at the point where marginal revenue is less than marginal cost.

d) The monopoly will produce at the point where marginal revenue is equal to zero.

""

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Answer:

f(x)=−4(x+ 41 ) 2 − 4 11

Explanation:

The given function is

f(x) = - 4 {x}^{2} - 2x - 3f(x)=−4x 2 −2x−3

To write the function is vertex form, we need to complete the square.

We first factor -4 to get:

f(x) = - 4 ({x}^{2} + \frac{1}{2} x) - 3f(x−4(x2 + 21 x)−3

Add and subtract the square of half the coefficient of x.

f(x) = - 4( {x}^{2} + \frac{1}{2} x + \frac{1}{16} ) - \frac{1}{4} - 3f(x)=−4(x 2 + 21 x+ 16 1 )− 41 −3

We factor the perfect square trinomial and simplify to get:

f(x) = - 4( {x + \frac{1}{4} )}^{2} - \frac{11}{4}f(x)=−4(x+ 41 ) 2 − 4 11

The answers for these solutions to equation (x - 21)^2 = 25 are

x = 26

x =16

Picture proof

The value of x are 26 and 16.

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra .

According to question

\((x - 21)^{2}\) = 25

(x-21) = ± 5

x-21 = +5   and x-21 = -5

x = 5+21    and x = -5+21

x= 26      and   x = 16

Hence, value of x are 26 and 16 .

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The probability of a diffusing atom jumping from one site to another is influenced by temperature. It is typically described by the Arrhenius equation:

P = \(Ae^{(-Q/RT)}\)

Where:

P is the probability of a jump

A is the pre-exponential factor

Q is the activation energy

R is the gas constant

T is the absolute temperature in Kelvin

To calculate the probability at 500°C and 1000°C, we need to convert these temperatures to Kelvin:

\(T_{500C}\) = 500 + 273.15

= 773.15 K

\(T_{1000C}\) = 1000 + 273.15

= 1273.15 K

Assuming we have values for the pre-exponential factor (A) and activation energy (Q), we can substitute these values into the Arrhenius equation to calculate the probabilities at the given temperatures. However, without specific values for A and Q, we cannot provide a numerical answer.

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Answer:

For 1: Absolute value of -4/5 is 4/5

For 2: Absolute value of 6.43 is 6.43

For 3: Absolute value of -22 is 22.

For 4: 4 < | -8 |

For 5: | -7| > -12

For 6: -7 < | 3 |

the estimated instantaneous rate of Change of f(x) at x = 1 is approximately -0.333.To estimate the instantaneous rate of change of the function f(x) = 3/(x+2) at the point x = 1, we can calculate the derivative of f(x) and evaluate it at x = 1.

Taking the derivative of f(x) using the quotient rule, we have:

f'(x) = [3(1) - 3(x+2)]/(x+2)^2

      = -3/(x+2)^2.

Evaluating f'(x) at x = 1, we get:

f'(1) = -3/(1+2)^2

     = -3/9

     = -1/3.

Therefore, the estimated instantaneous rate of change of f(x) at x = 1 is approximately -0.333.

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The solution to the equation using three iterations of successive approximation is x≈35/16.

What is graph?

A graph is a structure that resembles a set of objects where some pairings of the objects are conceptually "connected" in discrete mathematics, more specifically in graph theory. Each connection between two adjacent vertices is referred to as an edge, and the items are symbolised by vertices, which are mathematical abstractions.

From the graph we get that at x=2.23 both graphs intersect each other.

17/8=2.125

35/16=2.1875

33/16=2.0625

19/8=2.375

35/16 is the nearest value to 2.23

Hence the correct answer is b,  x≈ 35/16

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3x-2=3

3x=3+2

3x=5

x=5/3

Answer : According to the information provided in the question, the value of 'x' is 5/3

Answer:

we say 3x equal to 5

divide everything by 3

which will give us 1/2/3

Answer:

Step-by-step explanation:

The standard vertex form of a quadratic (which is what your graphs are) is

\(y=(x-h)^2+k\) where h and  are the coordinates of the vertex. The vertex is really all we need to fill in this equation. Looking at the blue graph, the vertex is located at (-4, 1), so h = -4 and k = 1. Filling in the equation:

\(y=(x-(-4))^2+1\) which simplifies down to

\(y=(x+4)^2+1\). It's that simple.I think that's choice C (I'm not sure; it's very tiny!)

Answer:

4u

Step-by-step explanation:

-6 + 10 = 4

Now just add the u!

The volume V of solid S is e - 1 cubic unit.

What is Volume?

Volume refers to the measure of three-dimensional space occupied by an object or a region. It quantifies the amount of space enclosed by the boundaries of an object or contained within a given region. In mathematical terms, volume is often calculated by integrating the cross-sectional areas of the object or region along a particular axis. Volume is typically expressed in cubic units, such as cubic meters (m^3) or cubic centimeters (cm^3). It is an essential concept in geometry, physics, engineering, and other scientific fields where the measurement of three-dimensional space is involved.

To find the volume of solid S, we need to integrate the areas of the cross sections perpendicular to the x-axis along the interval \([e, \infty).\)

The area of each square cross-section is equal to the square of the side length, which in this case is \(y = \sqrt{\ln(x)}.\)

Therefore, the volume V of solid S can be calculated as:

\(V = \int_{e}^{\infty} (\sqrt{\ln(x)})^2 dx\)

To evaluate this integral, we can simplify the expression:

\(V = \int_{e}^{\infty} \ln(x) dx\)

Using integration by parts, we let \(u = \ln(x)\)and dv = dx:

\(du = \frac{1}{x} dx\\v = x\)

Applying the integration by parts formula:

\(V = [uv] - \int v du= [x \ln(x)] - \int x \left(\frac{1}{x}\right) dx= x \ln(x) - \int dx= x \ln(x) - x + C\)

Evaluating the definite integral:

\(V = [x \ln(x) - x]_{e}^{\infty}= (\infty \cdot \ln(\infty) - \infty) - (e \cdot \ln(e) - e)= \infty - 0 - (1 - e)= e - 1\)

Therefore, the volume V of solid S is e - 1 cubic unit.

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Answer:

2 + 4 = 6 animals

Step-by-step explanation:

2 cats + 4 dogs = 6 animals

6 animals is the answer

Answer:

Step-by-step explanation:

first lets find out how much she spent

1 x $13 = $13 for the coffee (i dont know if im missing the amount of pounds bc there is no number there so if i am im sorry :/ )

2 x $0.45 = $0.90 for the rice

wehen added together we have 13.90 in total

to find hhow much change she recieved subtract it from 50

50 - 13.90 = $39.10 in change

hope this helps <3

Answer:

i think it would be 36.1

Step-by-step explanation:

srry if im wrong good luck

Step-by-step explanation:

when you do a mathematical operation between 2 functions that simply means you do this operation between both functional expressions.

so, here :

f - g = (5x² - 4x) - (5x + 1) = 5x² - 9x - 1

Answer:

x= 4, 3

The choose (d)

Step-by-step explanation:

x²+12=7x

x²-7x+12=0

(x-3)(x-4)=0

x=3

or x=4

Answer:

D

Step-by-step explanation:

on edge

The value of x, given the angles next to the triangle, can be found to be 38 °

To find the value of x, you first need to find the value of the other angles in the triangle.

Angles on a horizontal line add up to 180 degrees so the angle to the bottom left is:

= 180 - 134

= 46 °

The angle to the bottom right is:

= 180 - 84

= 96 °

The angles in a triangle add up to 180 ° so the value of x would be:

= 180 - 46 - 96

= 38 °

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Answer:

She should aim 6 feet down the wall

Explanation:

The diagram attached sketches the situtation.

Since the angle with which the ball hits the wall is the same with which it bounces, angle β is the same for the two shown triangles.

Then, since both are right triangles, then all the angles are congruent and the triangles are similar. Hence, you can equal the ratios of the sides, to make an equation:

x/4 = y/2 ⇒ x = 2y

You have other equation:

x+ y = 18

Substitute

2y + y = 18

3y = 18

y = 18/3

y = 6 ← this is the distance down the wall where the ball should hit

x = 2(6) = 12

Then, she should aim 6 feet down the wall.