Which could be the scale factor of the following similar figures? (1 point)
The first triangle's sides are 9,9,12
The second triangles sides are 6,6,8
A.) 2/3
B.) 3/4
C.) 1
D.) 3/2
E.) 4/3

Answer:

yes 2 is only even prime number because it was divide by only 1 and 2

Answer:

yes

Step-by-step explanation:

Yes....every other even number is divisible by two which means they cannot be prime.  Primes are divisible only by 1 and the number itself.

The required triangles that are similar by angle-angle similarity are,

(1)    ΔCDE ≅ ΔGFE    (2)  ΔLQP ≅ ΔLMN     (3)  ΔSTE ≅ ΔCWH

(4) Triangles are not similar.   (5)  Triangles are not similar.

(6) ΔPXQ ≅ ΔZXY

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

Here,

(1)

Consider ΔCDE and ΔGFE

∠C = ∠G   [alternate interior angle of parallel lines]

∠CED = ∠GEF   [opposite angles]

There, for ΔCDE ≅ ΔGFE bu AA postulate.

Similarly,

(2)  ΔLQP ≅ ΔLMN

(3)  ΔSTE ≅ ΔCWH

(4) Triangles are not similar.

(5)  Triangles are not similar.

(6) ΔPXQ ≅ ΔZXY

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Answer:

C) 2

Step-by-step explanation:

Mode means which number do you have the most of.  You have the most 2's.

The coordinate points on the first quadrant represent the possible dimensions of the rectangle with an area of 32 m².

A function describes a relationship between a dependent and independent variable. Example -

y = f(x) = 5x + 9

Given is that the area of a rectangle is 32 m².

Assume that the length and breadth of the rectangle are {x} m and {y} m respectively. We can write the area of the rectangle as -

xy = 32

We can write -

y = 32/x                                    .... Eq { 1 }

The dimensions cannot be negative. So, the coordinate points on the first quadrant represent the possible dimensions of the rectangle.

Therefore, the coordinate points on the first quadrant represent the possible dimensions of the rectangle with an area of 32 m².

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The maximum number of major ideas that can be included in a specific purpose statement depends on several factors, but it is generally recommended that the statement include one to three major ideas. This helps the speaker to focus their ideas and organize their content in a way that effectively communicates their message to the audience

A specific purpose statement is a statement that defines the main objective or goal of a speech or presentation. It serves as a guide for the speaker, helping them to focus their ideas and organize their content in a way that effectively communicates their message to the audience.

The number of major ideas that can be included in a specific purpose statement depends on several factors, including the length of the speech or presentation, the complexity of the topic, and the speaker's ability to effectively communicate their message.

In general, it is recommended that a specific purpose statement include only one to three major ideas. This allows the speaker to focus their attention on a limited number of key points and ensures that the audience is not overwhelmed with too much information. Additionally, having a limited number of major ideas makes it easier for the speaker to organize their content and for the audience to understand and retain the information.

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A specific purpose statement should include one or two major ideas that are focused and directly relevant to the topic at hand.

Including too many ideas can make the statement confusing and difficult for the audience to understand, so it's important to be selective about which ideas to include.

The goal is to create a specific purpose statement that is clear, concise, and easy for the audience to understand, while effectively conveying the key ideas of the communication.

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Answer:

Just giving my first answer.I don't know the answer.If I knew I'd tell you

z=122/17

Step-by-step explanation:

1) Distribuez: 278=34z+34

2) Soustrayez 34 des deux côtés: 244=34z

3) diviser les deux par 34 puis simplifier: le résultat est z= 122/17

The area of R is ln(4) - ln(√2) and the value of k is √2.

a) To find the area of the region R, we need to find its definite integral with respect to x. Using substitution, we can write the integral as follows:

Let u = [tex]x^{2}[/tex] + 2, du/dx = 2x, dx = du/2x

Area of R = ∫[0,√6] x/([tex]x^{2}[/tex] + 2) dx = ∫[2,8] (1/2) du/u = (1/2) ln(u) evaluated from 2 to 8 = (1/2) ln(8) - (1/2) ln(2) = ln(4) - ln(√2)

b) The line x = k divides the region R into two regions of equal area if the definite integral of R with respect to x from 0 to k is equal to the definite integral of R with respect to x from k to √6.

Letting k = x in the definite integral, we have:

∫[0,k] x/( [tex]x^{2}[/tex]  + 2) dx = ∫[k,√6] x/( [tex]x^{2}[/tex]  + 2) dx

(1/2) ln([tex]k^{2}[/tex] + 2) - (1/2) ln(2) = (1/2) ln(6 - [tex]k^{2}[/tex] ) - (1/2) ln(2)

Solving for k, we get:

ln( [tex]k^{2}[/tex]  + 2) = ln(6 - [tex]k^{2}[/tex] )

[tex]k^{2}[/tex] + 2 = 6 - [tex]k^{2}[/tex]

2 [tex]k^{2}[/tex]  = 4

k = ±√2

Since k must be in the first quadrant, k = √2.

So, the line x = √2 divides the region R into two regions of equal area.

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An algorithm to find all nodes less than some value in a binary heap is binary_heap (int, int)

The term called algorithm is defined as  a set of instructions for solving a problem or accomplishing a task.

Here we have know that the binary heap is a full binary tree that means all of its node full with 2 children except last one it may have one child or even empty Also in min heap, all node has value less than its children values in a max heap all node has a value greater than then it can be written as,

void binary_heap(Node *node, int x)

{

   if (node->value >= o(x))

   {

       return 0;

   }

   printf("%d\n", node->value);

   if (node->left != NULL)

       binary_heap(node->left, x);

   if (node->right != NULL)

      binary_heap(node->right, x);

}

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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.

Answer:

Step-by-step explanation:

I don't know what you want to find but

CB ^2 = AC^2 + AB^2 -2AC.AB.Cos(BAC) Cosine Rule

CB^2 = 9 +64 - 2.3.8.Cos(40)

CB ~ 6

The height of cylinder is 38.772 inches.

Consider r and h as the radius and height of the cylinder, respectively.

Given: Radius of the cylinder (r) = 3 inches

            Surface area of the cylinder = 787 square inches

   Now we have to calculate the height of the cylinder.

As we know the surface area of cylinder

The Surface area of cylinder= Curved Surface + Area of Circular Bases

               787                          =    2πrh + 2πr²

               787                           =    2πr(r+h)

              787                            =    2×3.14×3 (3+h)                 {π=3.14}

              787                             =     18.84 (3+h)

              787÷18.84                   =   (3+h)

              41.772                         =   (3+h)

              41.772-3                      = h

               38.772                        =h

               Height of cylinder= 38.772 inches

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The graph of the system of inequalities x-y≥3 and x+y≤9 is attached.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

x-y is greater than or equal to 3, x+y is equal to or less than 9

x-y≥3

x+y≤9

Combine the intervals

x≥3 and x≤9

Now merge the overlapping intervals

3≤x≤9

Hence, the graph of the system of inequalities x-y≥3 and x+y≤9 is attached.

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Answer/Step-by-step explanation:

All numbers that are divisible by 9 are also divisible by 3.

Since 3 goes into 9, if 9 is a factor, 3 is also a factor.

Example:

81 is divisible by 9.

So, 81 is also divisible by 3.



Another example:

1,273,050 is divisible by 9.

So 1,273,050 is also divisible by 3.

But the other way around is not necessarily true. If 3 goes into a number, 9 may or may not go into the number.

That is, if a number is divisible by 3, you cannot necessarily know that it is divisible by 9.

Example (seems like it works):

18 is divisible by 3. 18 is also divisible by 9.

But it doesn't work every single time so it cannot be a rule.

Example(sometimes it doesn't work):

24 is divisible by 3.

24 is not divisible by 9.

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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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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the probability of success (0.25 in this case), and the number of successes (12 in this case). The command will then calculate the cumulative probability of 12 or fewer employees being late for work.

A company has 20 employees, and each employee has a 25% chance of being late for work. What is the probability that 12 or fewer employees will be late for work?

The calculator command Binomialcdf(20, 0.25, 12) would be used to find the solution.

Binomialcdf is a calculator command used to calculate the cumulative probability of a binomial distribution. The command takes three parameters: the number of trials (20 in this case), the probability of success (0.25 in this case), and the number of successes (12 in this case). The command will then calculate the cumulative probability of 12 or fewer employees being late for work.

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The answer will be option C (3.90 cm).

To find the diameter, we need to determine the exact length reading on the main scale and then add the Vernier scale reading. We know that 10 divisions of the Vernier scale coincide with 9 divisions of the main scale.

If the zero of the Vernier scale lies slightly to the left of 3.2 cm on the main scale, then we can assume that it lies between the 3rd and 4th division of the main scale. Since the 4th division of the Vernier scale coincides with a main scale division, we can determine that the length reading on the main scale is 3.3 cm.

Next, we need to determine the Vernier scale reading. Since the 4th division of the Vernier scale coincides with a main scale division, the reading on the Vernier scale is 0.1 cm. Adding the main scale reading (3.3 cm) and the Vernier scale reading (0.1 cm), we get a total length reading of 3.4 cm.

Since the cylinder is tightly placed between the jaws of the callipers, we can assume that this length reading is equal to the diameter of the cylinder. Therefore, the diameter of the cylinder is 3.4 cm. The answer is closest to option C (3.90 cm).

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Answer:

reason 1: Given

reason 2: Property of Cross Multiplication

reason 3: Vertical Angles are Congruent.

reason 4: SAS

(π/180) x (180) x (7) = (π) x (7) = 21π cm.

The length of the semicircular arc of a circle can be found using the formula:

arc length = (π/180) x (arc degree measure) x (circle's diameter)

If the diameter of the circle is 7cm, then the length of the semicircular arc would be:

(π/180) x (180) x (7) = (π) x (7) = 21π cm.

Answer:11cm

Step-by-step explanation:

Diameter of the circle= 7cm

so, radius of the circle= 7/2= 3.5 cm

for getting length of the semicircular arc= sircumference of circle / 2

circumference of the circle = 2pi r

lenght of the semicircular arc= 2pi r/2

                                             =pi r

                                              = {22/7}*

                                              =11cm

Answer:  the answer is $442.80

Answer:

442.80

Step-by-step explanation:

You would first multiply 15 by 36 to get a product of 540. Then you would subtract $540 by $37.80 and $59.40 to get a difference of 442.80

15x36 =540
540 - 37.80 - 59.40 = $442.80

The solution to the given recurrence relation is (c): ak = (3^k + 1) + 2^k + 1

The solution of the given recurrence relation can be found by substitution. We can substitute the given formula for ak into the equation for a_(k+1) and see if the two are equal. If they are equal, then we have the solution.

Starting with the equation for ak:

a_k = 2a_(k-1) + 3^k

Substituting the formula for ak-1:

a_k = 2(2a_(k-2) + 3^{k-1}) + 3^k

Expanding the right side:

a_k = 4 a_(k-2) + 2 * 3^{k-1} + 3^k

Continuing this process, we can see that the solution is:

a_k = 2^(k) a₀ + (2^{k-1} + 2^{k-2} + ... + 2^1) * 3^{k-1} + 3^k

Since the series 2^k-1 + 2^{k-1} + ... + 2^1 = 2^k - 1, we have:

a_k = 2^(k) a₀ + (2^k - 1) * 3^{k-1} + 3^k

Substituting the initial value a₀ = 5:

a_k = 2^(k) * 5 + (2^k - 1) * 3^{k-1} + 3^k

Simplifying:

a_k = 2^{k} (5 + 3^{k -1}) - 3^{k-1}(1 + 3)

a_k =  2^{k} (5 + 3^{k -1}) - 4* 3^{k-1}

a_k = 5* 2^{k} + 3^{k -1}( 2^{k}  - 4)

So, the solution to the given recurrence relation is (c):

ak = (3^k + 1) + 2^k + 1

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The linear inequality in two variables is  3x + 6y ≤ 9 . Option B

Linear inequalities are inequalities that involve at least one linear algebraic expression, that is, a polynomial of degree 1 is compared with another

Inequalities are math expressions or statements that use the inequalities "less than or equal to", "greater than or equal to", "less than", "greater than", and "not equal to".

Linear expressions are math statements or expressions whose expressions of a degree 1 (Highest exponent).

Variables are mathematical symbol or term that represents the unknown values.

In the problem, the question asks for a linear inequality in two variables. As you can see, all of the choices are linear expressions. The only option that uses one of the inequality symbols and has two unknown variables is the third option. So, it's the option B.

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Unconstrained population growth equation solved by separation of variables. P = Ce^(Kt). Corrected function found using initial and 5 hour population data. After 10 hours, population is 16,333,333.33.

What is integral ?

An integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data. The process of finding integrals is called integration.

(a) Solution by separation of variables:

P' = KP

dp/dt = KP => dP/P = K dt

∫(dP/P) = ∫K dt => ln|P| = Kt + C, where C is the integration constant.

P = Ce^(Kt)

(b) Initial population is 3M and after 5 hours the population is 7M.

Using the formula from (a), we have:

Ce^(K5) = 7M => Ce^(K5) = 7*10^6

3M = Ce^(K0) => 310^6 = C

Therefore, the exact function describing the population growth is:

P = 3*10^6 * e^(Kt)

(c) After 10 hours, the population will be:

P = 310^6 * e^(K10)

(d) The population after 10 hours should be exactly 49/3.

Checking with the formula from (c), we have:

P = 310^6 * e^(K10) = 49/3 * 10^6 = 49,000,000 / 3 = 16,333,333.33

Unconstrained population growth equation solved by separation of variables. P = Ce^(Kt). Corrected function found using initial and 5 hour population data. After 10 hours, population is 16,333,333.33.

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The probability of choosing a car or a truck is P(Car) + P(Truck).

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Answer: this will help you

Step-by-step explanation:

A biologist wants to create an SRS to study the effect of a medication on the respiration rate of his subjects.

Answer: B. It is both a random sample and an SRS.

Volume of solid is 343 cubic yards.

Volume is defined as the amount of space occupied by an object within the boundaries in the three dimensional space.

A base of a solid whose height is 7 yards is shown.

Let us consider the solid as cube.

Volume of cube = [tex]a^{3}[/tex] cubic units.

Here side, a =7 yards.

Volume ,V= [tex]7^{3}[/tex] = 343 cubic yards.

Hence, Volume of solid is 343 cubic yards.

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