Han spent 75 minutes practicing the piano over the weekend.



a) Priya practiced the violin for 152% as much time as Han practiced the piano. How long did Priya practice?

Answer:

I think live interviews

Step-by-step explanation:

your text misses some parts.

so, there is no clear way to tell you the correct answer option. but there are some indications what is more likely your teacher wants to see as an answer, when we look at the individual options.

x² + 16x + 64 = 800

is the same as

(x + 8)² = 800

and then

x + 8 = sqrt(800) = 28.28427125...

x = 20.28427125...

not a nice number, but yes, a possible solution.

x² + 8x + 16 = 800

is the same as

(x + 4)² = 800

x + 4 = sqrt(800) = 28.28427125...

x = 24.28427125...

again, not a nice number, but yes, a possible solution.

I ignore "none of the choices are correct". again you did not provide enough information to make that call, as we have already 2 possibly valid solutions.

x² + 16 = 800

x² = 784

x = sqrt(784) = 28

that is a "nice" number and a possible solution.

I would therefore bet on this answer, although, as mentioned, it is not clear what we actually try to find out.

The range of the test scores in Mr. Miller's math class is 42.

Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.

The range is computed by subtraction of the lowest value from the highest value.

Mr. Miller can use the range to measure the spread or dispersion of the test scores.

Test Scores:

52, 61, 69, 76, 82, 84, 85, 90, 94

Highest score = 94

Lowest score = 52

Range = 42 (94 - 52)

Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.

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Answer:6 3/10

Step-by-step explanation:

use Desmos calculator

If the temperature is -5 degrees in one city and it is four degrees less in another city, the temperature in the other city would be -9 degrees.

This is because subtracting four from -5 results in a decrease of four units, giving us -9 degrees.

In the given scenario, the temperature in the other city is four degrees less than the temperature in the first city. When we subtract four from the original temperature of -5 degrees, we obtain -9 degrees.

Thus, the temperature in the other city is -9 degrees, indicating that it is colder by four degrees compared to the first city.

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\(\qquad\qquad\huge\underline{{\sf Answer}}\)

The Correct choice is A

Theoretical probability is defined as number of favorable outcomes out of Total possible outcomes.

That is :

\(\qquad \tt \dashrightarrow \: \dfrac{ \texttt{No. of favorable outcomes}}{ \texttt{Total number of possible outcomes}}\)

By definition, Theoretical probability is equal to,

⇒ Number of favorable outcomes / Total no. of possible outcomes.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

To find the definition of Theoretical probability.

Now, We know that;

Theoretical probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes.

Hence, By definition, Theoretical probability is equal to,

⇒ Number of favorable outcomes / Total no. of possible outcomes.

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The correct general form of Sarah's budget line is 60 > 20BR + 30BC. This equation represents the maximum combination of bus rides and breakfast combos that Sarah can afford within her budget limit of $60.

A budget line represents the different combinations of goods or services that a consumer can afford given their budget constraint. It shows the maximum quantity of one good that can be obtained for a given quantity of another good, given the prices of the goods and the consumer's budget.

In this case, Sarah's budget line is given by the equation 60 > 20BR + 30BC. This equation represents the constraint that Sarah's total expenditure on bus rides (BR) and breakfast combos (BC) should not exceed $60. The coefficients 20 and 30 represent the prices of bus rides and breakfast combos, respectively. The inequality symbol ">" indicates that Sarah's expenditure must be strictly less than $60 to stay within her budget constraint.

Therefore, the correct alternative showing the general form of Sarah's budget line is 60 > 20BR + 30BC. This equation represents the maximum combination of bus rides and breakfast combos that Sarah can afford within her budget limit of $60.

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if the number of times you take the test were independent variable of the chance you fail what could that mean the difficulty of the test is consistent and unchanging.

The difficulty of the test is consistent and unchanging, making it so that the chance of failing is solely determined by the individual's performance on the test. Factors such as knowledge of the subject and the ability to focus can play a role in a person's success, but the actual chance of failing is not affected by how many times the test is taken. This means that those who fail the test will have to work harder and prepare better in order to pass it on the next attempt. Taking the test multiple times does not guarantee a higher chance of success, as the difficulty remains the same each time due to independent variable.

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The quotient of (−20/30) ÷ 18/20 given as a simplified fraction is -20/27

Quotient refers to the result obtained by dividing one number by another.

Divisor: This is the number used to divide another number

Dividend: This is the number which is to be divided by another.

(−20/30) ÷ 18/20

= -2/3 ÷ 9/10

= -2/3 × 10/9

= (-2 × 10) / (3 × 9)

= -20/27

Therefore, the quotient of (−20/30) ÷ 18/20 given as a simplified fraction is -20/27

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When a stone is dropped into a lake, it generates a circular ripple that travels outward at a velocity of 60 cm/s. We need to find the value of A ∘ r. When solving such a problem, the wave equation is used.

A general wave equation is given as follows: A(x, t) = f(x - vt) + g(x + vt)where A is the amplitude of the wave, v is the speed of the wave, and f and g are functions that depend on the shape of the wave. Initially, the stone is dropped into the lake, and the ripple starts to propagate outward.

We assume that the shape of the ripple is circular; thus, we can say that the function that represents the ripple is: A(x, t) = A∘r(x, t)where r is the distance from the center of the ripple to any point on the circumference of the ripple. Since the ripple is circular, r will be constant at any given point on the circumference of the ripple. Also, we can assume that the amplitude of the ripple is constant; therefore, A is also constant at any point on the ripple circumference. The wave speed is given as 60 cm/s, and the ripple is circular, so the equation that represents the ripple can be written as: A(x, t) = A∘r(x - vt)For a circular ripple, the distance r from the center of the ripple to any point on the circumference can be expressed in terms of the angle θ between the radius vector and the x-axis. Hence, we can write: r = Rsin(θ)where R is the radius of the circle. The wave equation is given as:A(x, t) = A∘r(x - vt) Substitute r into the wave equation and we get: A(x, t) = A∘ Rsin(θ) (x - vt) From the initial point of the ripple, t = 0. Hence, the wave equation becomes: A(x, 0) = A∘Rsin (θ) x We can now solve for A ∘ R by using the following equation:A(x, 0) = A∘Rsin(θ) x.Thus, the value of A ∘ R is given as: A ∘ R = A(x, 0) / sin(θ)The final answer will be (A ∘ r)(t) = (A ∘ R)sin(θ) (x - vt).

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On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.

To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.

Given:

9 staff members taking calls.

On average, one call arrives every 5 minutes (standard deviation of 5 minutes).

Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).

To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:

"M" stands for Markovian or memoryless arrival and service times.

"c" represents the number of servers.

In our case, we have an M/M/9 queuing model since we have 9 staff members.

The average waiting time for a customer on hold is given by the following formula:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

Where:

c = number of servers (staff members) = 9

μ = average service rate (1 / average service time)

λ = average arrival rate (1 / average interarrival time)

ρ = λ / (c * μ)

First, let's calculate the average arrival rate (λ):

λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute

Next, calculate the average service rate (μ):

μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute

Now, calculate ρ:

ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407

Finally, calculate the waiting time:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))

≈ 1.16 minutes

Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.

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Answer:

thirty

Step-by-step explanation:

6.29117647059

This is the answer

Answer: 6.29117647059

Step-by-step explanation:

divide the problem :)

Answer:

Step-by-step explanation:

The factors of 50 are 1,2,5,10,25,50;

The factors of 90 are 1,2,3,5,6,9,10,15,18,30,45,90.

So, as we can see, the Greatest Common Factor or Divisor is 10, because it is the greatest number that divides evenly into all of them.

Answer:

x = 5

Step-by-step explanation:

The measure of an arc equals the measure of the central angle that intercepts it.

The measure of an arc intercepted by a diameter is 180 deg.

m(arc)EH = 180

m(arc)EF + m(arc)FG + m(arc)GH = m(arc)EH

10x + 8 + 67 + 11x = 180

21x + 75 = 180

21x = 105

x = 5

Answer:

Step-by-step explanation:

The domain is basically the highest x and the lowest x.

[-3, ∞)

The range is the highest and lowest y.

[-4.649, ∞)

Local maximum is the highest part of the specific part of the graph.

(-1.423, 3.389)

And the local minimum is basically the same thing but with the lowest part.

(1.757, -4.649)

Answer:

x = 6

Step-by-step explanation:

-2 + 3x = 16

add 2 to both sides

-2 + 2 + 3x = 16 + 2

0 + 3x = 18

3x = 18

divide both sides by 3

3x ÷ 3 = 18 ÷ 3

1x = 6

x = 6

Answer:

6

Step-by-step explanation:

To solve this we must get the variable and the number alone on one side.

1. -2+3x=16

2. 3x=18

3.x=6

Answer:

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Step-by-step explanation:

Answer:

The initial number of bacteria is 250 and the colony is increasing in size.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let \(\(a\)\) and \(\(b\)\) be integers such that \(\(ab = 4\)\). We want to prove that \(\((a - b)^3 - 9(a - b) = 0\).\)

Starting with the left side of the equation, we have:

\(\((a - b)^3 - 9(a - b)\)\)

Using the identity \(\((x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3\)\), we can expand the cube of the binomial \((a - b)\):

\(\(a^3 - 3a^2b + 3ab^2 - b^3 - 9(a - b)\)\)

Rearranging the terms, we have:

\(\(a^3 - b^3 - 3a^2b + 3ab^2 - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\(a^3 - b^3 - 3a^2(4) + 3a(4^2) - 9a + 9b\)\)

Simplifying further, we get:

\(\(a^3 - b^3 - 12a^2 + 48a - 9a + 9b\)\)

Now, notice that \(\(a^3 - b^3\)\) can be factored as \(\((a - b)(a^2 + ab + b^2)\):\)

\(\((a - b)(a^2 + ab + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Simplifying further, we get:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\)

Now, we can observe that \(\(a^2 + 4 + b^2\)\) is always greater than or equal to \(\(0\)\) since it involves the sum of squares, which is non-negative.

Therefore, \(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\) will be equal to \(\(0\)\) if and only if \(\(a - b = 0\)\) since the expression \(\((a - b)(a^2 + 4 + b^2)\)\) will be equal to \(\(0\)\) only when \(\(a - b = 0\).\)

Hence, we have proved that if \(\(ab = 4\)\), then \(\((a - b)^3 - 9(a - b) = 0\).\)

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The value of x in the triangle is 3

It is crucial that we note the different trigonometric identities in mathematics are;

Also, using the Pythagorean theorem stating that the square of the hypotenuse is equal to the sum of the squares of the other two sides

5² = x² + 4²

find the squares

25 = x² + 16

collect the like terms

x² = 9

Find the square root

x = 3

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Answer: x2+y2=169

⇒ 2xdxdt+2ydydt=0

⇒(dydt)=(dxdt)x−xy=5×−125=−12ft/s

A=12xy

⇒ dAdt=y2dxdt+x2dydt=52×5+122×−12

=25−1442=−59.5ft2/s

y=xtanθ

⇒ dydt=(tanθ)dxdt+xsec2θdθdt

⇒ −12=5×512+12×169122dθdt

⇒ 16912dθdt=−12−2512

⇒ dθdt=144169−25169=−1rad/s

Step-by-step explanation:

Step-by-step explanation:

o. ac. pc

100 30. 130

56000 x AC

AC=(130x56000)/100

Sweater costs 56.00

To calculate the discounted price of the sweater

56 * (30/100) = 16.8

We used (30/100) to find out the 30 percent of the sweater which will be on discount/reduced.

56-16.8=39.2 is the discounted price

Then we subtract the amount of discount from the original price of sweater to find out the discounted price.

Answer:

A. 28.1 cm^2

Step-by-step explanation:

a = bh

a = (7.6)(3.7)

a = 28.12 cm^2

a = 28.1 cm^2

Answer:

2. 4(x-10) = 16

If a ≡ b (mod m), then a mod m is equal to b mod m. This means that the remainders when a and b are divided by m are the same.

To show that a mod m is equal to b mod m if a ≡ b (mod m), we need to demonstrate that their remainders upon division by m are the same.

Let's assume a ≡ b (mod m), which means a - b is divisible by m. We can express this as a - b = km, where k is an integer.

When we divide a by m, we get a = qm + r, where q is the quotient and r is the remainder. Similarly, when we divide b by m, we have b = pm + r', where p is the quotient and r' is the remainder.

We can substitute the expressions for a and b into a - b = km:

(qm + r) - (pm + r') = km

Rearranging terms, we have (q - p)m + (r - r') = km.

Since q - p is an integer and k is an integer, it follows that (r - r') must also be divisible by m. Therefore, the remainders r and r' are congruent modulo m, which implies a mod m = b mod m.

Hence, we have shown that if a ≡ b (mod m), then a mod m = b mod m.

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