in calorimetry problems where the temperature of a system increases group of answer choices ∆t > 0 and q = 0. ∆t > 0 and q < 0. ∆t > 0 and q > 0. ∆t < 0 and q < 0.

Answer:

Step-by-step explanation:

A) To find the length of AD, we first find the length of the CD.

CD = (BE + EC)/2 = (3x + 12 + 6x - 9)/2 = 9x + 3

AD = CD = 9x + 3

B) To find x, we use the fact that DG is the perpendicular bisector of EC and BG. This means that EG = BG = x.

EG = BG = x

EC = 2EG = 2x

Substituting in EC = 6x - 9, we get:

2x = 6x - 9

4x = 9

x = 9/4 = 2.25

C) To find BC, we use the fact that BC = AB - 2BE

BC = AB - 2BE

BC = 10 - 2(3x + 12)

Substituting in x = 2.25, we get:

BC = 10 - 2(3 * 2.25 + 12)

BC = 10 - 2 * 21

BC = 10 - 42

BC = -32

Answer:

AD = 5, x = 7, BC = 66

Step-by-step explanation:

a) We know that DG is a perpendicular bisector, so it should divide AB into two equal parts, each equal to half the length of the total line segment.
So, AD = AB/2
= 10/2
= 5

b) Now, BE and EC are part of the same segment, as they share a common point E. Also, at E we have perpendicular bisector EG.
Again, the two parts BE and EC should be equal.
Given, BE = 3x + 12 and EC = 6x - 9
3x + 12 = 6x - 9
3x = 21
x = 7

c) Now, BC would be twice the length of one of the segments divided by the perpendicular bisector. So, BC = 2BE
= 2 * (3x + 12)
= 2 (3*7 + 12)
= 2 * 33
= 66

False, Two data points are not sufficient to determine whether a model is linear or quadratic.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

a linear model has two parameters only (y = a*x+b). You may also remember that two data points are generally enough to fit a straight line. If you consider a quadratic model with three parameters (y = a*x²+b*x+c), you'll need at least three data points.

in regression analysis, many researchers say that there should be at least 10 observations per variable. If we are using three independent variables, then a clear rule would be to have a minimum sample size of 30. Some researchers follow a statistical formula to calculate the sample size.

therefore, At least three Data points are required to determine whether a model is linear or quadratic.

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Answer:

Step-by-step explanation:

64% as a fraction in its simplest form is 32/50.

As a decimal, 64% is equal to 0.64.

Concentric circles are internally tangent circles which is the true statement.

Geometry is the description of figures in a space with a specific number of dimensions and types. Plane geometry is the most prevalent sort of geometry (dealing with objects like the point, lines, circles, triangles, and polygons)

Concentric circles are circles that have the same center but different radii.

When two concentric circles are drawn, it is possible for them to be internally tangent, meaning that they touch each other at exactly one point and the point of tangency is inside both circles.

In this case, one circle is entirely contained within the other circle.

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It will take approximately 20.7 years for the account value to reach $24000 with an annual interest rate of 7%. To the nearest year, it will take 21 years.

To find out how long it will take for an account with an initial value of $5100 to reach $24000 with an annual interest rate of 7%, you can use the formula:

time = (log(final value/initial value)) / (log(1+interest rate))

So, the time it will take for the account value to reach $24000 is:

time = (log(24000/5100)) / (log(1+0.07))

using the logarithm calculator or log rule

time = (log(4.64)) / (log(1.07))

time ≈ 20.7 years

To nearest year, it would take 21 years.

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The value of ML is 29.2.

Option B is the answer.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Two similar triangles:

So,

NL/RN = ML/QR

70/48 = ML/20

ML = (70 x 20) / 48

ML = 1400/48

ML = 29.2

Thus,

ML = 29.2

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Step-by-step explanation:

Without doing any math, 1,697.5

35.0 and 16,975 is the original

3.5 is 35.0, but they moved the decimal one point to the left

We do the same for the answer

16,975... we move the comma one point to the left and get 1,697.5

Antonia should make 18 dozen of Nutty Squirrel and 20 dozen of White Chocolate Blizzard to get the most income, which would be $162.00.

The Nutty Squirrel requires 10 ounces of sugar per dozen, so Antonia can make at most 570 / 10 = 57 dozen of Nutty Squirrel.

Since Antonia has to make at least 18 dozen of Nutty Squirrel, she will make 18 dozen of Nutty Squirrel.

The White Chocolate Blizzard requires 19 ounces of sugar per dozen, so Antonia can make at most 570 / 19 = 30 dozen of White Chocolate Blizzard.

Since Antonia has to make between 9 and 20 dozen of White Chocolate Blizzard, she will make 20 dozen of White Chocolate Blizzard.

Therefore, Antonia should make 18 dozen of Nutty Squirrel and 20 dozen of White Chocolate Blizzard to get the most income, which would be 18 * $9.00 + 20 * $5.00 = $162.00.

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Yes, it is true to say that objects only attract each other if they have different charges if we exclude non-electrostatic forces.

This is because electrostatic forces between charged objects follow Coulomb's law, which states that the force between two point charges is proportional to the product of their charges and inversely proportional to the square of the distance between them. According to Coulomb's law, if two objects have the same charge, they will repel each other, while if they have different charges, they will attract each other.

This observation can be made in a lab by charging two objects with different charges (e.g. positive and negative) and observing their attraction towards each other, and then charging two objects with the same charge (e.g. both positive or both negative) and observing their repulsion from each other.

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There is only 1 possible list of positive integers that have a mean, median, mode, and range of 5

As per the data given,

We have, a lit of 5 positive integers.

The sum of the five positive integers must equal five in order for the mean, median, mode, and range to all be five.

This is because the range of a set of equal numbers will always be 0, the mean of a set of equal numbers will always equal the numbers themselves, the median of a set of equal numbers will always equal the mean, the mode of a set of equal numbers will always equal the numbers themselves, and so on.

Therefore, there is only 1 possible list of positive integers that have a mean, median, mode, and range of 5: [5, 5, 5, 5, 5].

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To complete the square for the equation x2 - 16x + 60 = -12, add 64 to each side of the equation. This will give us x2 - 16x + 124 = 52.

Then, factor out the coefficient of x2 (1) and the coefficient of x (16). This will give us (x - 8)2 = 52. Finally, subtract 52 from both sides to get (x - 8)2 = 0. Solving for x yields x = 8.

Equations are mathematical statements that express the equality of two expressions. They involve one or more unknowns that are represented by variables and involve numbers, constants, and operators. An equation states that the expressions on either side of the equal sign have the same value.

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Answer:

answer is 28

Step-by-step explanation:

10(2•4/5)

20 + 8

= 28

When you write it this way you distribute it so 10 is outside the parenthesis so you time 10 to bout of the numbers inside of it then add.

Answer:

This inequality has no solution.

Step-by-step explanation:

Solve the inequality.

Start on the left side.

Apply the distributive property.

[tex](2*5V)+(2*7) > 10V+14[/tex]

Simplify the parenthesis.

[tex]10V+14 > 10V+14[/tex]

Subtract [tex]10V[/tex] from both sides of the inequality.

[tex]14 > 14[/tex]

Since [tex]14 > 14[/tex], there are no solutions.

Answer:

Step-by-step explanation:

( 9^2 ) = 23

The probability that George drove given that he is late is approximately 0.355 or 35.5%.

Let's call the event of George being late "L". The problem is asking for P(Drives | L), which is the probability that George drove given that he is late.

We can use Bayes' theorem to find this probability:

P(Drives | L) = P(L | Drives) * P(Drives) / P(L)

P(L | Drives) is the probability that George is late given that he drove, which is given as 55%.

P(Drives) is the prior probability that George drives, which is given as 20%.

P(L) is the overall probability that George is late, which can be found by summing up the individual probabilities of George being late for each mode of transportation and weighting it by the corresponding prior probability of using that mode of transportation:

P(L) = P(L | Walks) * P(Walks) + P(L | Cycles) * P(Cycles) + P(L | Drives) * P(Drives) + P(L | Bus) * P(Bus)

P(L | Walks) is the probability that George is late given that he walks, which is given as 15%.

P(Cycles) is the prior probability that George cycles, which is given as 30%.

P(Bus) is the prior probability that George takes the bus, which is given as 40%.

P(L | Bus) is the probability that George is late given that he takes the bus, which is given as 20%.

Substituting these values into the formula for P(L) and simplifying:

P(L) = 0.15 * 0.10 + 0.10 * 0.30 + 0.55 * 0.20 + 0.20 * 0.40

= 0.155

Finally, substituting the values for P(L | Drives), P(Drives), and P(L) into the formula for P(Drives | L) and simplifying:

P(Drives | L) = 0.55 * 0.20 / 0.155 = 0.55 / 0.155 = 3.548

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Therefore , the solution of the given problem of linear equation comes out to be she took 3 days , 5 days and 7 days respectively.

The formula y=mx+b serves as the basis for a linear curve of regression. m is the y-intercept, while B is the slope. Despite the fact that y and y are independent elements, the preceding sentence is usually referred to as a "math equation with two variables." Bivariate linear equations have just two variables in them. Application problems involving linear equations have no known solutions.

Here,

Given :

y= total days

where x is the days she took to do the assignments

=> y = 2x + 3

At x = 0.

=> y = 2(0) + 3 = 3

At x = 1

=> y = 2(1) + 3 = 5

At x =2

=> y = 2(2) + 3 = 7

Therefore , the solution of the given problem of linear equation comes out to be she took 3 days , 5 days and 7 days respectively.

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for both categorical and numerical variables the difference between the relative frequency and the percent frequency is option B: The percent frequency equals the relative frequency multiplied by 100.

Relative frequency and percent frequency are two measures of the frequency of an event or category within a data set.

Relative frequency is the ratio of the number of times an event or category occurs divided by the total number of events or categories.

Percent frequency is the relative frequency expressed as a percentage. This means that it is equal to the relative frequency multiplied by 100. In other words, the percent frequency represents the proportion of occurrences of an event or category as a percentage of the total number of events or categories.

So, the difference between relative frequency and percent frequency is that relative frequency is a ratio, while percent frequency is the same ratio expressed as a percentage.

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See full question below

for both categorical and numerical variables what is the difference between the relative frequency and the percent frequency?

-The relative frequency equals the percent frequency multiplied by 100.

-The percent frequency equals the relative frequency multiplied by 100.

-As opposed to the relative frequency, the percent frequency is divided by the number of observations in the data set.

-As opposed to the percent frequency, the relative frequency is divided by the number of observations in the data set.

The value of the radius of the circle 'r' will be 14 units.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The tangent and radius of the circle intersect at the right angle. Then the value of 'r' is given as,

QT² = QS² + ST²

(r + 36)² = r² + 48²

r² + 72r + 1296 = r² + 2304

72r = 1008

r = 14

The value of the radius of the circle 'r' will be 14 units.

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The distance in feet from the bottom of the lighthouse to the ferry is 154 feet.

What is the angle of depression?

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

The angle of depression is always measured from the horizontal.

A triangle is formed by the lighthouse, the ground, and the ferry. The angle of depression is not in the triangle, but it is equal to the angle of elevation at the ferry. (Alternate angles on parallel lines)

The angle at the top of the lighthouse, inside the triangle is:

90° − 37° = 53°

The distance to the boat is the side opposite the angle of 63° while the height of the lighthouse is the adjacent side.

opposite / adjacent = tan53°

distance / 116 = tan53°

distance = 116 × tan53°

= 153.932 feet

= 153.9 feet. (approximately)

Hence, the distance in feet from the bottom of the lighthouse to the ferry is 153.9 feet.

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Answer:

Step-by-step explanation:

10/100*132

Answer:

Step-by-step explanation:

The formula of C.P is Selling Price - Profit

Here the S.P. =132

Profit = 10%

Converting 10% = 10/100*132

                             = 13.2

Putting values into Formula :

132-13.2 = 118.8

so, the answer is 118.8

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Container 1: The unit rate for Container 1 from Home Depot is $14.98 per gallon. Container 2: The unit rate for Container 2 from Lowes is $115.00 per gallon. The unit rate for each container tells us how much one gallon of paint costs from each store.

The unit rate for the paint from Home Depot is $14.98 per gallon and the unit rate for the paint from Lowes is $115.00 per gallon. This tells us that the paint from Home Depot is cheaper than the paint from Lowes.

Step 1: To calculate the rate for each container, divide the cost of the container by the number of gallons in the container.

Container 1: $14.98 per gallon = $14.98 / 1 gallon

Container 2: $115.00 per gallon = $115.00 / 1 gallon

Step 2: To calculate the unit rate for each container, divide the cost of the container by the number of units in the container.

Container 1: $14.98 per gallon = $14.98 / 1 unit

Container 2: $115.00 per gallon = $115.00 / 1 unit

Step 3: The unit rate for each container tells us how much one gallon of paint costs from each store.

Container 1: The unit rate for Container 1 from Home Depot is $14.98 per gallon.

Container 2: The unit rate for Container 2 from Lowes is $115.00 per gallon.

The theory used in this question is the concept of unit rate, which is used to compare the prices of different products.

Unit rate is defined as the cost per unit of measure (e.g., price per gallon, price per pound, etc.).

In this case, we are using the unit rate of price per gallon to compare the prices of paint from Home Depot and Lowes.

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Answer:

In Princeton's wig shop, the total number of wigs is the sum of the number of blonde wigs and the number of brunette wigs. Since 1/4 of the wigs are blonde and 2/3 of the wigs are brunette, the fraction of wigs that are either blonde or brunette is 7/12.

Answer:

[tex]\frac{11}{12}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}[/tex] + [tex]\frac{2}{3}[/tex]  The common denominator is 12  make equivalent fractions with 12 as the denominator

[tex]\frac{1}{4}[/tex] x [tex]\frac{3}{3}[/tex] = [tex]\frac{3}{12}[/tex]

[tex]\frac{2}{3}[/tex] x [tex]\frac{4}{4}[/tex] = [tex]\frac{8}{12}[/tex]

[tex]\frac{3}{12}[/tex] + [tex]\frac{8}{12}[/tex] = [tex]\frac{11}{12}[/tex]

Answer:

12x^2 - 13x + 3 is a quadratic equation in the standard form ax^2 + bx + c, where a = 12, b = -13, and c = 3. This equation can be factored, completed the square or used the quadratic formula to find the solutions of x.

Answer:

voir ci-dessous

Step-by-step explanation:

1.

Programme 1:  choisi nombre par example, 2, prendre son carré, donc c'est 2²; ajourter5, donc c'est 4+5 =9  

Programme 2:  choisi nombre par example, 5, ajourter5, donc c'est 5+5 =10; prendre son carré, donc c'est 10²=100

2. f(x)=(x+5)² c'est programme 1; g(x)=x²+5 c'est programme 2

3. programme pour h(x) = (x+3)²:

voila.

Answer: Should be 6

Step-by-step explanation: 4 times for is 12

Then Make sure you divide 12 so u get 6.

A=1/2 BH

The percentile rank of 64 in the twelve students exam result is 42%

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

Ordering the data we have:

90 64 99 71 72 93 40 85 45 50 55 66

40 > 45 > 50 > 55 > 64 > 66 > 71 > 72 > 85 > 90 > 93 > 99

The 64 result is the 5th term of all the results, so:

percentile rank = (term / total term) * 100%

percentile rank = 5/12 * 100%

percentile rank = 41.66%

41.66% round to the nearest percentile 42%

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The three examples of random experiments and their possible outcomes are stated above.

A random experiment is a type of experiment that has multiple possible outcomes

Given is to write three examples of random experiments and their possible outcomes.

{ 1 } -

Experiment : Tossing a coin three times

Possible outcomes : Number of possible outcomes = 8

Sample space : {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}

{ 2 } -

Experiment : Three coins are tossed simultaneously

Possible outcomes : Number of possible outcomes = 8

Sample space : {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}

{ 3 } -

Experiment : Rolling a pair of dice simultaneously

Possible outcomes : 36

Sample space : {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

Therefore, the three examples of random experiments and their possible outcomes are stated above.

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{Question in english -

Write three examples of random experiments and their possible outcomes.}