6. PQR is similar to XYZ.
Y
Q
30/
6
z
5
R
P
10
What is the perimeter of XYZ?
a) 21 cm
b) 63 cm
c) 105 cm
d) 126 cm

Answer:

3.65 hours

Step-by-step explanation:

8.76/2.4=3.65

Answer:

3.65

Step-by-step explanation:

T=D÷V

8.76÷2.4= 3.65

\(5x+10y=25\)

Add -10y to both sides:

\(5x+10y+-10y=25+-10y\)

\(5x=-10y+25\)

Divide both sides by 5:

\(\dfrac{5x}{5} =\dfrac{-10y+25}{5}\)

\(\fbox{y = -2y + 5}\)

Answer:

Answer mine plz

Step-by-step explanation:

Answer:

its 25

Step-by-step explanation:

I guess I was help full for u

plz follow me for more update

432 characters can be expected to fit per yard of text. Therefore, option D is the correct answer.

Given that, a text font fits 12 characters per inch.

We need to find how many characters can be expected per yard of text.

To convert a yard measurement to an inch measurement, multiply the length by the conversion ratio. The length in inches is equal to the yards multiplied by 36.

Let x be the number of characters to be used in a yard.

12 characters / in = x/ 36 in

(12 characters * 36 in) / in = x

x = 432 characters

Therefore, option D is the correct answer.

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the answer is 432 characters

Answer:

The length of one side of the hot tub is 4.8ft

Step-by-step explanation:

Given

Shape: Square

\(k = 5\) -- scale factor

\(B'C' = 24\)

Required

Side length of ABCD (the hot tub)

From the question, we understand that

\(ABCD \to D_5 \to A'B'C'D\)  ABCD dilated by 5 to A'B'C'D

This implies that:

\(BC * 5 = B'C'\) i.e. the sides of ABCD is multiplied by 5 to get A'B'C'D

So, we have:

\(BC * 5 = 24\)

Divide by 5

\(BC = 4.8\)

Among the solvents mentioned, water allows the most sensitive procedure for obtaining molar mass by the freezing point depression method.

This is because water has a high freezing point depression constant compared to the other solvents, benzene and cyclohexane. The freezing point depression constant, denoted as K_f, is a measure of how much the freezing point of a solvent decreases when a solute is dissolved in it. The greater the K_f value, the more sensitive the method becomes in determining the molar mass. Water has a relatively large K_f value, which is 1.86 °C/m. This means that for every mole of solute dissolved in water, the freezing point is depressed by approximately 1.86 °C. In contrast, benzene has a K_f value of 5.12 °C/m, and cyclohexane has a K_f value of 20.0 °C/m. These values are smaller compared to water, indicating that the freezing point of these solvents is less sensitive to changes in solute concentration. Therefore, water allows for a more sensitive determination of molar mass by the freezing point depression method, making it the most suitable solvent among the options provided.

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To achieve better accuracy when adding the numbers from 0.01 to 1.00, it is recommended to add the numbers in ascending order (from smallest to largest) to minimize the accumulation of rounding errors and maintain higher precision during intermediate calculations. Thus, starting with 0.01 and ending with 1.00 would provide better accuracy.

To achieve better accuracy when adding the numbers from 0.01 to 1.00, it is generally recommended to use an order that minimizes the accumulation of rounding errors. In this case, it is advisable to start with the smaller numbers and progress towards the larger ones.

By adding the numbers in ascending order (from 0.01 to 1.00), the rounding errors at each step will have a smaller impact on the overall result. This is because adding smaller numbers together first helps maintain a higher level of precision during intermediate calculations.

Therefore, to achieve better accuracy, you should add the numbers in ascending order, starting with 0.01 and ending with 1.00.

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Answer:

C = 100 + 40n

The independent variable is n (number of months) and the dependent variable is C ( total cost)

Step-by-step explanation:

Let the total cost of the fitness center = C

Given fixed cost = $100

given cost per month = $40

let number of month = n

The total cost of the fitness center in a given 'n' month is calculated as;

C = 100 + 40n

From the above equation;

the independent variable is n (number of months) and

the dependent variable is C ( total cost)

C = 100 + 40n The independent variable is n (number of months) and the dependent variable is C ( total cost)

The interval notation in which solutions are certain to exist for the given differential equation y^(4) + 7y^''' + 5y = t is (-∞, ∞).

The given differential equation y^(4) + 7y^''' + 5y = t is a linear non-homogeneous equation where y is a dependent variable and t is an independent variable. Here, the degree of the differential equation is 4, and the highest-order derivative is y^4. Since the degree is 4, the given differential equation will have four roots. Therefore, the interval notation in which solutions are certain to exist for the given differential equation y^(4) + 7y^''' + 5y = t is (-∞, ∞). Here, the interval notation is open since there are no restrictions on the independent variable t, and it can take any value. Hence the answer is (-∞, ∞).

Another approach to determine the intervals in which solutions are sure to exist for the given equation y^(4) + 7y^''' + 5y = t, is to use the Existence and Uniqueness Theorem for differential equations. According to this theorem, if the coefficients of the differential equation are continuous functions, then a unique solution exists for any initial condition in the interval. In this case, the coefficients are constants: 1 for y^(4), 7 for y^''', and 5 for y. Since constants are continuous functions, a unique solution exists for any initial condition. Therefore, the interval in which solutions are sure to exist is the entire real line, which in interval notation is written as (-∞, ∞).

The equation would be -x+10.2-\(\frac{1}{2}\)x+y

The equation contains:

-decimals

-variables

-negatives

-fractions

-like-terms

Answer:

The algebraic expression has one constant, 10.2, which is a number by itself. The variables, which are letters that stand for unknown values, are x and y. The coefficients, which are numbers that are multiplied to the variables, are

-1, -1/2, and 1. The terms that have an x are like terms.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The layout looks like this.

r-----------s-----------------t

    6.4        

----------------9.3-----------

Now you want st so the formula is

rt = rs + st

9.3 = 6.4 + st            Subtract 6.4 from both sides

9.3 - 6.4 = st             Combine

st = 2.9

a) The probability of getting all answers correct is approximately 0.0002562%. b) The probability of getting all answers wrong is approximately 32.7680%.

To determine the number of different ways to answer all the questions on the exam, we can use the Fundamental Counting Principle. Since there are 5 possible answers for each of the 8 questions, the total number of different ways to answer all the questions is 5^8 = 390,625.

a) To calculate the probability that the student got all of the answers correct, we need to consider that for each question, there is only one correct answer out of the 5 options. Thus, the probability of getting one question correct by random guessing is 1/5, and since there are 8 questions, the probability of getting all the answers correct is (1/5)^8 = 1/390,625. Converting this to a percentage, the probability is approximately 0.0002562%.

b) Similarly, the probability of getting all of the answers wrong is the probability of guessing the incorrect answer for each of the 8 questions. The probability of guessing one question wrong is 4/5, and since there are 8 questions, the probability of getting all the answers wrong is (4/5)^8. Converting this to a percentage, the probability is approximately 32.7680%.

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Answer:

Step-by-step explanation:

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Answer=4/5

The fraction of his original money does he have left = 4/5 .

What is a fraction in math?

A boy has = 800 and spends = 160

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Therefore, his original money left =4/5

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Answer:

the answer is b=9 and good luck .

Answer:

1 I think can you make sure?

Number 1

\(AB=BC\)

Prove : \(AC=2(AB)\)

\(AB=BC\)   ⇒  Given

We call this given because it is the first thing that we see in the problem and is the exact equation that we will use to solve

________

Next...

\(AC=AB+BC\)  ⇒  Congruent Angles

We call these Congruent Angles because They have the same measure

\(AC=AB+AB\)  ⇒  Substitution

We call this Substitution because we are substituting \(BC\) for \(AB\) since they equal the same

\(AC=2(AB)\)  ⇒  Segment Addition Postulate

___________________

Number 2

m∠\(1=120\)   ⇒  Given

We call this given because it is the first thing that we see in the problem and is the exact equation that we will use to solve

∠\(1=\)∠\(2\)  ⇒  Given

m∠\(1=\) m∠\(2\)  ⇒ Given

\(120 =\) m∠\(2\)  ⇒  Definition of Congruent Angles

m∠\(1=\) m∠\(2\)  ⇒ Symmetric Property

Answer:

The coordinates of Rₓ = \(2^{(D)}\) = D'(0, 1)

Step-by-step explanation:

As given, D = (4, 1)

Now,

The coordinates of Rₓ = \(2^{(D)}\) = D'(0, 1)

The product of the given matrices is not equal to the third matrix.

To compute the matrix product, we need to multiply each entry of the first matrix by the corresponding entry in the second matrix and sum the results. Let's calculate the product of the first entry in the first row of the first matrix (-1) with the first entry in the first column of the second matrix (1). This gives us -1 * 1 = -1.

Similarly, we multiply the second entry in the first row of the first matrix (-1) with the second entry in the second column of the second matrix (-3), which gives us -1 * -3 = 3.

Finally, we multiply the third entry in the first row of the first matrix (3) with the third entry in the second column of the second matrix (0), which gives us 3 * 0 = 0. Combining these results, we have the first entry of the resulting matrix as -1 + 3 + 0 = 2. Following the same procedure, we can compute the other entries of the resulting matrix.

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The vectors of the translation vectors are written as follows

a {6, 3]

b [-6, 3]

A translation vector is a vector that describes the displacement of a point or object from its original position to its new position after a translation or movement occurs.

In other words it specifies how much and in what direction a point or object is moved.

In the translation vector given, e represents the x direction and movements from left to right. While f represents the y direction and movements from up to down

For 6 square to the right and 3 squares up, we have  {6, 3] all positive

6 squares to the left and 3 squares up is written as {-6, 3].

To the left is written in negative for x direction. While for y direction, when the translation is down, we use negative.

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The statement "A resource with a utilization of less than 100% is never the bottleneck" is false. The resource with the least available capacity and the highest utilization rate is known as the bottleneck. In manufacturing, this bottleneck concept is often applied.A bottleneck is a constraint in a system that slows down the entire process.

In a production line, a bottleneck might be a machine that can only produce one product at a time and is the slowest in the line. As a result, every other machine in the production line has to wait for this machine to finish before it can continue producing.The proportion of the available resources that are used in a company's operations is known as resource utilization. It calculates how effectively a company is using its resources and how many of them are being wasted.A resource with a utilization rate of less than 100 percent does not necessarily imply that it is not a bottleneck.

Consider a small business that has ten employees working at 80% of their ability. This does not guarantee that they are not a bottleneck in the process. If the business only has ten employees, and they are all required for production, then the employees are the bottleneck in the production process.In conclusion, if there is a bottleneck in the system, it may not always have a utilization rate of 100%. Thus, the statement "A resource with a utilization of less than 100% is never the bottleneck" is false.

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Answer:

4 units

Step-by-step explanation:

Answer:

a = Yes, because 3/4 can be written as 6/8 and 6/8 minus 1/8 is 5/8ths which is greater then 1/2.

b = Kelly used 1/8 more than 1/2 of the tank. : )

The equations are solved and:

a) Kelly used more than 1/2 of a tank.

b) Kelly used 5/8 of a tank more than 1/2 of a tank.

Given data ,

a)

To determine if Kelly used more or less than 1/2 of a tank, we can compare the initial amount of gas (3/4 of a tank) with the remaining amount at the end of the week (1/8 of a tank).

On simplifying the equation , we get

If the remaining amount (1/8 of a tank) is less than 1/2 of a tank, then Kelly used more than 1/2 of a tank. Conversely, if the remaining amount is greater than 1/2 of a tank, then Kelly used less than 1/2 of a tank.

So, 1/8 of a tank is less than 1/2 of a tank.

Therefore, Kelly used more than 1/2 of a tank.

b)

To determine how much more or less than 1/2 of a tank Kelly used, we can find the difference between the initial amount (3/4 of a tank) and the remaining amount (1/8 of a tank).

The difference can be calculated as follows:

3/4 - 1/8 = 6/8 - 1/8 = 5/8

On simplifying the equation , we get

Therefore, Kelly used 5/8 of a tank more than 1/2 of a tank.

Hence , the equations are solved.

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Answer: I think the answer is 1250.

Step-by-step explanation:

I did 200 divided by 4 which is 50. I then multiplied 50 * 25 and got 1250.

Answer:

please see photo attached for detailed analysis.

Answer:

hope it helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

S is the midpoint of QR.

⇒ RS = QS    

QR ⊥ PS

⇒ ∠RSP = ∠QSP = 90°

In ΔPSR & ΔPSQ,

Statement                     Reason

RS ≅ QS                       S is midpoint of QR

∠RSP ≅ ∠QSP              QR ⊥ PS

PS ≅ PS                         Reflexive property

ΔPSR ≅ ΔPSQ               Side Angle Side - S A S Congruent

PR≅  PQ                        CPCTC

Answer:

Step-by-step explanation:

Melissa earned $5,819 x 4% = $232.76 in commission for the first month.

Melissa earned $3,792 x 4% = $151.68 in commission for the second month.

So, Melissa earned a total of $232.76 + $151.68 = $384.44 for the two months.

The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

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Answer:

b=5 a=6

Step-by-step explanation:

x^5/6=x^b/a

5/6=b/a

b=5, a=6.

Answer:

a = 6

b = 5

Step-by-step explanation:

\( \large \boxed{ {a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} } }\)

Plug those values in.

\( \large{ {x}^{ \frac{5}{6} } = \sqrt[6]{ {x}^{5} } }\)

From the question, our a is 6 and b is 5.

Answer:

f o g(x) = 3x - 7

Step-by-step explanation:

I have attached my work in the explanation.