What is AAA similarity rule?

Answer:

48cm<h

Step-by-step explanation:

Answer:  63.75 = 85h

Solving gives 0.75 hours.

Step-by-step explanation:

we now that speed = distance / time

therefore time will be Distance / speed

Given that distance = 63.75miles

Speed= 6=85miles per hour

Time(h) = 63.75miles/ 85.---- equation 1

But from the options given, the equation that can also  be used to find number of hours is

63.75 = 85h

such that making h subject of formula  still give us

h= 63.75/85  as in equation 1 above

solving gives that Time ( h) = 0.75 hours .

The best estimate of the true value for this data set is the mean value, which is 1000 rpm.

To calculate the mean value, we add up all the values and divide by the

number of values:

(990 + 1030 + 950 + 1050 + 1000 + 980) / 6 = 1000

So the mean value is 1000 rpm.

To calculate the standard deviation, we need to first calculate the

variance:

Variance =\([(990 - 1000)^2 + (1030 - 1000)^2 + (950 - 1000)^2 + (1050 - 1000)^2 + (1000 - 1000)^2 + (980 - 1000)^2] / 6\)

Variance = 12000 / 6 = 2000

So the variance is \(2000 (rpm)^2\).

The standard deviation is the square root of the variance:

Standard deviation = √(2000) = 44.7 rpm

The best estimate of the true value for this data set is the mean value, which is 1000 rpm.

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The image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.  The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

Given that the image of (8,12) after dilation by a scale factor of 1/4 centered at the origin.

The image of the dilated point will be:-

x : - 8 ⇒ 8 / 4 = 2

y : - 12 ⇒ 12 / 4 = 3

Therefore, the image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.

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81 is equivalent to 3^4

What Is the Power of a Number?

The power of a number stands for how many multiples of the number there are. The power of a number is represented by something called an exponent

When a number is "raised to the second power," it means that the number is multiplied together twice, for example. When a number is "raised to the fifth power," it means that it is multiplied together five times.

we have to solve 3^4

here 3 raised to the fourth power

then 3 is multiplied together 4 times

3*3*3*3

81

Hence ,81 is equivalent tp 3^4

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Answer:

a = 3

Step-by-step explanation:

9a - 5 = 22

9a = 27

a = 27/9

a = 3

Answer:

a=3

Step-by-step explanation:

(a) Two descriptive statistics cited from the survey are: a. Of those investment managers surveyed, 44% were bullish or very bullish on the stock market.

b. Of those investment managers surveyed, 23% selected health care as the sector most likely to lead the market in the next 12 months.

These statistics describe the proportions or percentages of investment managers with certain attitudes or preferences based on the survey results. (b) Inference about the average return expected on equities over the next 12 months for the population of all investment managers: Based on the survey, the average expected return over the next 12 months for equities among the investment managers surveyed was 11.3%. Therefore, we can infer that the estimated average expected 12-month return on equities for the population of investment managers is likely to be around 11.3%. However, it's important to note that this is an inference and not a definitive conclusion, as the survey represents a sample of investment managers and may not perfectly represent the entire population.

(c) Inference about the length of time it will take for technology and telecom stocks to resume sustainable growth: The survey found that the managers' average response for the length of time it would take for technology and telecom stocks to resume sustainable growth was 2.3 years. From this, we can infer that the estimated average length of time it will take for technology and telecom stocks to resume sustainable growth for the population of investment managers is approximately 2.3 years. Again, this is an inference based on the survey data and may not be an exact representation of the entire population.

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On the basis of given information that ΔEFG is congruence to ΔHJK and

a)EG≅HK

b)HJ≅EF

c)∠F≅∠J

d)∠H≅∠E

e)ΔFGE≅ ΔJKH

What are congruence?

Any two figures that can perfectly overlap each other are considered to be in congruence. Triangles that perfectly overlap each other are said to be congruent triangles. Several congruence rules, such as SAS, SSS, RHS, ASA, and AAS, are used to demonstrate the congruency in two triangles. Any of the three specified dimensions can be used to demonstrate that two triangles are congruent since a triangle has six dimensions—three sides and three angles. If placed in the correct orientation, congruent triangles are mirror reflections of one another. The pictures of two congruent things are always overlaid. The congruent figures have the same corresponding angle and dimensions. The character "" is used to denote consistency between two things.

Given that ΔEFG ≅ ΔHJK,

The rule says that if the triangles are congruent then its corresponding parts are equal.

The correspnding angles are:

∠E ≅ ∠H

∠F ≅ ∠J

∠G ≅ ∠K

The correspnding sides are:

EF ≅ HJ

FG ≅ JK

EG ≅ HK

These congruent triangles ΔEFG ≅ ΔHJK can also be names as:

ΔFGE ≅ ΔJKH

ΔGEF ≅ ΔKHJ

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Refer to the attachment for complete question.

The probability that a truck drives between 122 and 127 miles in a day is 0.0165, rounded to four decimal places.

To find the probability that a truck drives between 122 and 127 miles in a day, we'll use the z-score formula and standard normal distribution table. Follow these steps:

Step 1: Calculate the z-scores for 122 and 127 miles.
z = (X - μ) / σ

For 122 miles:
z1 = (122 - 90) / 18
z1 = 32 / 18
z1 ≈ 1.78

For 127 miles:
z2 = (127 - 90) / 18
z2 = 37 / 18
z2 ≈ 2.06

Step 2: Use the standard normal distribution table to find the probabilities for z1 and z2.
P(z1) ≈ 0.9625
P(z2) ≈ 0.9803

Step 3: Calculate the probability of a truck driving between 122 and 127 miles.
P(122 ≤ X ≤ 127) = P(z2) - P(z1)
P(122 ≤ X ≤ 127) = 0.9803 - 0.9625
P(122 ≤ X ≤ 127) ≈ 0.0178

So, the probability that a truck drives between 122 and 127 miles in a day is approximately 0.0178 or 1.78%.

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The required area of the region bounded by the given graphs is 2 square units.

Given that area of the region bounded by the given graphs y= x-2 and

\(y^{2}\) = 2x - 4.

To find the area of the region bounded by the graph  y= x-2 and

\(y^{2}\) = 2x - 4 determine the points of intersection between two curves and solve the system of equation to find points.

Substitute y = x - 2 in the equation  \(y^{2}\) = 2x - 4 gives,

\((x-1)^{2}\) = 2x - 4.

On solving this quadratic equation gives,

x = 2 or x = 4.

Substitute these values of x in the equation y = x - 2, to find the corresponding values of y.

For x = 2, y = 2 - 2 = 0.

That implies, P1(2, 0)

For x = 4, y = 4 - 2 = 2.

That implies, P2(2, 2).

To find the area between the curves by using the following integral,

Area = \(\int\limits\)(y2 -y1) dx

Integrate above integral from x = 2 to x = 4 gives,

Area =  \(\int\limits^4_2\) (2x-4) - x-2 dx

On simplification gives,

Area =   \(\int\limits^4_2\) x- 2 dx

On integrating gives,

Area = \(x^{2}\)/2 - 2x \(|^{4} _2\)

Area = (\(4^{2}\)/2 -2×4) -  (\(2^{2}\)/2 - 2×2)

Area =  2 square units.

Hence, the required area of the region bounded by the given graphs is 2 square units.

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Caroline leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches mattie’s house.

The shortest distance between Caroline’s and Mattie’s house is 10 blocks.

If we assume this as a right angle triangle then height(BA) is 6 blocks long and base(BC) is 8 blocks

long.

Then, the shortest distance between Caroline’s and Mattie’s house will be the hypotenuse(AC) of this

triangle.

So, by applying Pythagoras theorem:

(AC)² = (BA)² + (BC)² = (6)²+(8)² = 36+64 = 100

Thus, AC = √100 = 10 block

Hence, the shortest distance we can take from Caroline’s house to reach Mattie’s house is 10 blocks.

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The magnitude of the final velocity of the cue ball is (B) 0.56m/s.

How to calculate the magnitude of the final velocity?

The magnitude of the final velocity can be calculated by following the steps:

Assuming all pool balls have the same mass: 0.4kg

Let the final velocity of the cue ball be x.

Now, To find the final velocity:

Therefore, the magnitude of the final velocity of the cue ball is (B) 0.56m/s.

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The correct question is given below:

In a game of pool, a 0.4 kg cue ball is traveling at +0.80 m/s when it hits a slower striped ball moving at +0.38 m/s. After the collision, the striped ball moves off at +0.62 m/s. What is the magnitude of the final velocity of the cue ball? Assume all pool balls have the same mass.

A. 0.20 m/s

B. 0.56 m/s

C. 1.0 m/s

D. 1.8 m/s

Answer: 0.56m/s

Step-by-step explanation:

The value of the mean excluding the outlier is 130. 5

An outlier can be defined as a data point that differs significantly or greatly from other observations.

It occurs as a result of;

From the information given, we have that;

121, 89, 410, 203, 55, 230, 182, 148, 135, 233, 11, 219, 108, 192

Since, the outlier is 410

The mean is given as;

= 121 + 89+ 203+ 55 + 230+182 + 148 + 135 + 233+ 11+ 219 + 108 + 192/13

Add the values

= 1696/13

= 130. 5

Hence, the value is 130. 5

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Answer:

Each cm cube has a surface area of 6cm, and it makes 100 mm cubes that have a 6mm surface area each.

Answer:

9

Step-by-step explanation:

if you divide 225 by 25 u get 9

Answer:

225/25 = 9

Step-by-step explanation:

took the test

Answer:

(- 4, - 10 )

Step-by-step explanation:

Given the 2 equations

- 10x + 2y = 20 → (1)

y = 3x + 2 → (2)

Substitute y  3x + 2 into (1)

- 10x + 2(3x + 2) = 20 ← distribute parenthesis and simplify left side

- 10x + 6x + 4 = 20

- 4x + 4 = 20 ( subtract 4 from both sides )

- 4x = 16 ( divide both sides by - 4 )

x = - 4

Substitute x = - 4 into (2) for corresponding value of y

y = 3(- 4) + 2 = - 12 + 2 = - 10

solution is (- 4, - 10 )

Answer:

your answer will be B.-21

Step-by-step explanation:

Answer:

Step-by-step explanation:

c/16=3/8

c=3(16)/8

c=48/8

c=6

Answer:

40

Step-by-step explanation:

The picture below shows your answer as well.

Brainliest please!

(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

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Attitude, beliefs, and knowledge shape a teacher's delivery: attitude affects engagement, beliefs influence instructional decisions, and knowledge enables effective communication and learning facilitation.

Attitude, beliefs, and knowledge play crucial roles in shaping how a teacher delivers a lesson. Here's a detailed explanation of their impacts:

Attitude:

Attitude refers to a teacher's mindset, emotions, and approach towards teaching. A positive attitude fosters enthusiasm, motivation, and a genuine passion for the subject matter. This translates into an engaging and dynamic teaching style, creating an environment conducive to learning. Conversely, a negative attitude can lead to disinterest, lack of enthusiasm, and a disengaged teaching approach, which can hinder students' engagement and comprehension.

Beliefs:

A teacher's beliefs influence their instructional decisions and pedagogical strategies. Beliefs about students' capabilities, learning styles, and the purpose of education can shape the teacher's approach to delivering a lesson. For example, if a teacher believes that all students have the potential to succeed, they may employ differentiated instruction techniques to cater to diverse learning needs. Conversely, if a teacher holds limiting beliefs about students' abilities, they may adopt a one-size-fits-all approach, which may hinder student progress.

Knowledge:

A teacher's knowledge encompasses both subject matter expertise and pedagogical content knowledge. Profound knowledge of the subject allows a teacher to effectively structure and present the lesson, answer student queries, and provide relevant examples. Pedagogical content knowledge helps in selecting appropriate instructional strategies, adapting to student needs, and assessing learning effectively. Without a strong knowledge base, a teacher may struggle to deliver accurate information, engage students, or address misconceptions.

Collectively, attitude, beliefs, and knowledge significantly impact a teacher's delivery of a lesson. A positive attitude enhances student motivation and engagement. Strong beliefs in students' potential and individualized instruction foster a supportive learning environment. Adequate subject knowledge and pedagogical skills enable effective communication and facilitate meaningful learning experiences. By combining these elements, teachers can create an impactful and effective learning environment that nurtures student growth and achievement.

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The value of the missing leg using Pythagoras theorem is 12.5.

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“

To calculate the missing leg, we use Pythagoras theorem.

Where:

Substitute these values into equation 1 and solve for c

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Answer:

it is a straight line on the graph that either goes up or down or diagonolly and its rate of growth stays the same.

Answer:

chicken

Step-by-step explanation:

The average value of f over the rectangle [0,6] x [0,1] is approximately 3.427.

The average value of a function f over a rectangle R is given by:

avg(f) = (1/Area(R)) * double integral of f over R

Here, f(x,y) = 5e^(yx) + e^y and R = [0,6] x [0,1]

The area of R is given by:

Area(R) = (6 - 0) * (1 - 0) = 6

So, the average value of f over R is:

avg(f) = (1/6) * double integral of f over R

We can evaluate the double integral using iterated integration. First, we integrate f with respect to y from 0 to 1, and then integrate the result with respect to x from 0 to 6:

integral of f(x,y) dy = integral of (5e^(yx) + e^y) dy

= (5x/2)e^(yx) + e^y + C

where C is the constant of integration.

Now, we integrate this result with respect to x from 0 to 6:

integral of [(5x/2)e^(yx) + e^y] dx = [(5/2) * integral of xe^(yx) dx] + integral of e^y dx

= [(5/2) * (1/y)e^(yx) - (5/2)(1/y^2)(e^(yx) - 1)] + ey + C

where C is another constant of integration.

Therefore, the average value of f over R is:

avg(f) = (1/6) * [(5/2) * (1/y)e^(yx) - (5/2)(1/y^2)(e^(yx) - 1) + ey] evaluated from y=0 to y=1 and x=0 to x=6

avg(f) = (1/6) * [(5/2) * (1/e^6 - 1) - (5/2)(1/e - 1/e^6) + e - 1]

avg(f) = (1/6) * [(5/2) * (1 - e^-6) - (5/2)(e^-1 - e^-6) + e - 1]

avg(f) = (1/6) * [(5/2) * (1 - e^-6 - e^-1 + e^-6) + e - 1]

avg(f) = (1/6) * [(5/2) * (1 - e^-1) + e - 1]

avg(f) ≈ 3.427

Therefore, the average value of f over the rectangle [0,6] x [0,1] is approximately 3.427.

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The solution is, the triangle ABC and DBC are congruent, by the Side-Angle-Side Triangle Congruence Theorem.  

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

As we can seen from the given figure that two triangles are given.

The triangles ABC and BDC are :

AB = CD

AC = BD

BC = BC

Hence using the SSS theorem of the triangle, the triangle ABC and DBC are congruent, Thus the angle A  is equal to angle D.

Hence the option D and E are correct. i.e. congruent by the Side-Angle-Side Triangle Congruence Theorem.  

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The price-demand equation is given by the following expression:

`p = (a - b*x)/c`.

Where `p` is the unit price,

`x` is the quantity demanded,

`a` is the maximum price that the consumer is willing to pay,

`b` is the change in price over change in quantity,

and `c` is the quantity demanded at the maximum price `a`.

We are given `x = 12,000 - 40p` and

`p = 9`.

Substituting the given value of `p` in the equation of `x`, we get;`

x = 12,000 - 40(9)`

= `8,280`.

Now, we can substitute these values into the equation `p = (a - b*x)/c` and get the value of `a/c` which is the maximum price divided by quantity demanded at the maximum price.

We are not given the values of `a`, `b`, and `c`.

Therefore, we cannot calculate the value of `a/c` and determine whether the demand is elastic, inelastic, or has unit elasticity.

The price-demand equation is the mathematical representation of the relationship between the price of a good or service and the quantity demanded. It can be used to determine whether the demand for a good or service is elastic, inelastic, or has unit elasticity.

An elastic demand is when a change in price results in a relatively larger change in quantity demanded.

In other words, the demand is sensitive to price changes.

An inelastic demand is when a change in price results in a relatively smaller change in quantity demanded.

In other words, the demand is not very sensitive to price changes.

A unit elastic demand is when a change in price results in an equal percentage change in quantity demanded.

The price-demand equation is given by the following expression: `p = (a - b*x)/c`.

Where `p` is the unit price,

`x` is the quantity demanded,

`a` is the maximum price that the consumer is willing to pay,

`b` is the change in price over change in quantity,

and `c` is the quantity demanded at the maximum price `a`.

To determine whether the demand is elastic, inelastic, or has unit elasticity at the indicated value of `p`, we need to substitute the given value of `p` in the equation of `x`, calculate the value of `a/c`, and compare it with `1`.

If `a/c` is greater than `1`, the demand is elastic.

If `a/c` is less than `1`, the demand is inelastic.

If `a/c` is equal to `1`, the demand has unit elasticity.

However, we are not given the values of `a`, `b`, and `c`.

Thus we cannot determine whether the demand is elastic, inelastic, or has unit elasticity at the indicated value of `p` since we are not given the values of `a`, `b`, and `c`.

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Answer:

75

Step-by-step explanation:

f(1) = 7

f(n) = 3f(n-1) + 3

So what you are trying to do here is find the recursive value (that's what it is called) for f(n). Computers love this sort of thing, but we humans have to do it slowly and carefully.

So let's try f(2)

That means that f(2) = 3*f(n-1) + 3

but if f(2) is used it means that you have to know f(2-1) which is just f(1) and we know that.

so f(2) = 3*f(1)+3

f(2) = 3*7 + 3

f(2) = 21 + 3

f(2) = 24

Now do it again. We now know F(2), so we should be able to find f(3)

f(3) = 3*f(3 - 1) + 3  

f(3) = 3*f(2) + 3      We know that f(2) = 24

f(3) = 3* 24 + 3

f(3) = 72 + 3

f(3) = 75

Answer:

$6.71

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

5.96/4=1.49

peaches=1.49/lb

4.5*1.49=6.71

To find the probability that the diameter of a selected ball bearing is between 118 and 125 millimeters, we can use the properties of the normal distribution.

Given that the diameter follows a normal distribution with a mean of 120 millimeters and a standard deviation of 4 millimeters, we can calculate the z-scores for the lower and upper bounds of the range.

For the lower bound of 118 millimeters:

z1 = (118 - 120) / 4 = -0.5

For the upper bound of 125 millimeters:

z2 = (125 - 120) / 4 = 1.25

Next, we need to find the cumulative probability associated with each z-score using the standard normal distribution table or a calculator.

The cumulative probability for the lower bound is P(Z ≤ -0.5) = 0.3085 (approximately). The cumulative probability for the upper bound is P(Z ≤ 1.25) = 0.8944 (approximately).

To find the probability between the two bounds, we subtract the lower probability from the upper probability:

Probability = P(Z ≤ 1.25) - P(Z ≤ -0.5) = 0.8944 - 0.3085 = 0.5859 (approximately).

Rounding to four decimal places, the probability that the diameter of a selected ball bearing is between 118 and 125 millimeters is approximately 0.5859.

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