Tom has 12 cards with the numbers 1 to 12 on them.
He selects one card at random.

Find P(5 or 8).

\(\frac{x}{y}\)

Answer:

A certain amount of hours

Step-by-step explanation:

Answer:

( 3x + 1) (2x+5)

Step-by-step explanation:

6 x ^2 + 17 X + 5​

We break the 6 into 3 and 2

(3x    ) (2x   )

We need the middle term to be 17

( 3x + 1) (2x+5)

3*5+2 = 17 so it works

Answer:

4950

Step-by-step explanation:

4952 has:

'4' in the thousands place

'9' in the hundreds place

'5' in the tens place

'2' in the ones place

Rounding to the nearest tens means to look at the value in the ones place and if it is 5 or greater the value in the tens place increases by one, otherwise it remains the same

The surface area of the rectangular prism is 290 in².

The dimensions of the rectangular prism

Length = 5 in

Width = 5 in

Height = 12 in

The six faces of a rectangular prism are

1. Top and bottom faces: Length × Width

2. Front and back faces: Length × Height

3. Left and right faces: Width × Height

The areas of each face

1. Top and bottom faces: 5 in × 5 in = 25 in² each

2. Front and back faces: 5 in × 12 in = 60 in^2 each

3. Left and right faces: 5 in × 12 in = 60 in² each

Adding up all the areas

Total surface area = (2 × top and bottom faces) + (2 × front and back faces) + (2 × left and right faces)

Total surface area = (2 × 25 in²) + (2 × 60 in²) + (2 × 60 in²)

Total surface area = 50 in² + 120 in² + 120 in²

Total surface area = 290 in²

Therefore, the surface area of the rectangular prism is 290 in².

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In a  circle has center M and arc KL is 116 degrees then ∠KJL is 116 degrees and ∠KJL is 58 degrees.

Central angle is same as intercepted arc.

∠KJL = m(arc KL)

∠KJL = 116degrees

We know, Inscribed angle is equal to half of the intercepted arc.

To find inscribed angle , we divide the intercepted arc by 2.

∠KJL = 1/2(arc KL)

=1/2(116)

=58 degrees

Hence, if a circle has center M and arc KL is 116 degrees then ∠KJL is 116 degrees and ∠KJL is 58 degrees.

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Answer:

equation 1st lies in 1st quadrant 5 = x and y= 2

as well as second one is lie on 4th quadrant

Answer:

y = 2x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (5, 2) and (x₂, y₂ ) = (2, - 4)

m = \(\frac{-4-2}{2-5}\) = \(\frac{-6}{-3}\) = 2 , then

y = 2x + c ← is the partial equation

To find c substitute any of the 2 points into the partial equation

Using (5, 2 ), then

2 = 10 + c ⇒ c = 2 - 10 = - 8

y = 2x - 8 ← equation of line

Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

The equation of function g(x) is g(x) = 2(x -7)² - 1, and the values of h and k are 7 and -1, respectively

The function is given as:

f(x) = 2x² - 1

When the function is translated 7 units left, the transformation rule is:

(x,y) -> (x + 7, y)

So, we have:

g(x) = 2(x -7)² - 1

A quadratic function is represented as:

g(x) = a(x -h)² + k

By comparison, the values of h and k are 7 and -1, respectively

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The 20th prize is $4400.

It is a sequence where the difference between each consecutive terms is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

First prize = $12,000

Successive prize worth $400 less than the preceding prize.

Now,

We can make an arithmetic sequence.

12,000, 11,600, 11,200, ...

So,

a = 12,000

d = -400

The nth term of an arithmetic sequence.

= a + (n - 1)d

So,

The 20th prize.

= 12,000 + (20 -1)400

= 12,000 - 19 x 400

= 12,000 - 7600

= 4400

Thus,

20th prize = $4400

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The maximum value of f on the ellipse is approximately 1.779 and the minimum value is approximately -1.779.

To find the maximum and minimum values of f(x, y) = 3x + y on the ellipse x^2 + 4y^2 = 1, we can use the method of Lagrange multipliers.

First, we define the Lagrangian function as L(x, y, λ) = 3x + y - λ(x^2 + 4y^2 - 1). We then find the partial derivatives of L with respect to x, y, and λ and set them equal to zero:

∂L/∂x = 3 - 2λx = 0

∂L/∂y = 1 - 8λy = 0

∂L/∂λ = x^2 + 4y^2 - 1 = 0

Solving these equations simultaneously, we obtain the critical points (±1/3√5, ±1/√20). We can then evaluate f at these critical points to find the maximum and minimum values:

f(1/3√5, 1/√20) ≈ 0.593

f(1/3√5, -1/√20) ≈ -0.593

f(-1/3√5, 1/√20) ≈ 1.779

f(-1/3√5, -1/√20) ≈ -1.779

Intuitively, the Lagrange multiplier method allows us to optimize a function subject to a constraint, which in this case is the ellipse x^2 + 4y^2 = 1.

The critical points of the Lagrangian function are the points where the gradient of the function is parallel to the gradient of the constraint, which correspond to the maximum and minimum values of the function on the ellipse.

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The sum of 17.25 and 1.725, to the nearest integer, is 19.

First, let's add the two numbers together: 17.25 + 1.725 = 19.975

Next, we need to round the sum to the nearest integer. To do this, we need to look at the tenths place of the number. Since the tenths place is a nine, we need to round up to the nearest integer.

In this case, the nearest integer is 19.

To check our answer, we can add the two numbers together again using a calculator and confirm that the answer is 19.

To make sure we understand how to round to the nearest integer, let's look at another example. If we add 3.45 + 2.735, the sum is 6.185.

Looking at the hundredths place, we see that it is a five. Since five is greater than or equal to five, we need to round up to the nearest integer.

In this case, the nearest integer is 7.

To check our answer, we can add the two numbers together again using a calculator and confirm that the answer is 7.

In summary, to round a number to the nearest integer, we need to look at the tenths place. If the tenths place is greater than or equal to five, we round up to the nearest integer. If it is less than five, we round down to the nearest integer.

Therefore, the sum of 17.25 and 1.725, to the nearest integer, is 19.

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The sum of 17.25 and 1.725 is 18.975. To the nearest integer, this number is rounded up to 19.

Rounding to the nearest integer involves finding the closest whole number to a decimal or fractional number. When the decimal portion of a number is greater than or equal to 0.5, the number is rounded up to the next whole number. When the decimal portion of a number is less than 0.5, the number is rounded down to the previous whole number. In this case, the decimal portion of 18.975 is greater than 0.5, so the number is rounded up to 19.

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Answer:

  8.2 million years

Step-by-step explanation:

The time can be found from ...

  time = distance/speed

  time = (47.0×10^4 m)/(5.7×10^-2 m/yr) = 8.2×10^6 yr

It will take about 8.2 million years for LA to have the same latitude as SF.

__

The given numbers each have 2 significant digits, so the answer is appropriately rounded to 2 significant digits.

Answer:

-4

Step-by-step explanation:

Ariel is displaying the consultative/participative style of decision making.

The consultative/participative style of decision making involves a manager like Ariel who presents the problem to her employees and gathers their opinions and suggestions but ultimately makes the decision herself. In this style, the manager values input from her employees and seeks their perspectives, considering their insights and suggestions before making the final decision. However, the ultimate decision-making authority lies with the manager. Ariel follows this style by involving her employees in the decision-making process, valuing their input and gathering their opinions. While she considers their suggestions, she ultimately retains the decision-making authority and makes the final decision based on a combination of her own judgment and the input received.

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Answer:

6

Step-by-step explanation:

6 x 6 = 36

Answer:

Does the answer help you?

Answer:

{(-8, -7), (4,-2), (2,9),(-8,8)}

To calculate the annualized rate of return, we can use the formula for compound interest. The correct answer is 11.66%.

The formula for compound interest is given by: A = P(1 + r)^t, where A is the final amount, P is the principal amount, r is the annual interest rate, and t is the time in years.

In this case, the initial investment (P) is BD 14,000, the final amount (A) is BD 52,600, and the time (t) is 12 years. We need to solve for the annual interest rate (r).

\(BD 52,600 = BD 14,000(1 + r)^{12}\)

By rearranging the equation and solving for r, we find:

\((1 + r)^{12} = 52,600/14,000\)

Taking the twelfth root of both sides:

\(1 + r = (52,600/14,000)^{(1/12)}\\r = 0.1166 / 11.66 \%\)

Therefore, Areej has earned an annualized rate of approximately 11.66% on this investment.

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Answer:

C is the answer because if u add all the numbers up and subtract how much she has paid so far u get 255,000

Answer: $90,000

Step-by-step explanation: just did the test

The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is 9980

The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is calculated by summing the area of each subinterval under the midpoint of the interval.

The formula for the midpoint Riemann sum is given by:

Sum = (width of interval) * (height of midpoint)

For this problem, since the width of each interval is 16/4 = 4, the midpoint Riemann sum is calculated by:

Sum = 4 * (1 + (16/4)^3 + (32/4)^3 + (48/4)^3)

Substituting the values for each midpoint, we get the following equation:

Sum = 4 * (1 + 4^3 + 8^3 + 12^3)

This simplifies to:

Sum = 4 * (1 + 64 + 512 + 1728)

Therefore, the midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is:

Sum = 4 * (2495)

Sum = 9980

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Answer:

ar some point pattern A will have the same numbers as pattern B as it moves along like if you add 3 for 2 more times in pattern A it will have 24 and so on..

The complete statement as -

"Adjusting entries are needed to correctly measure the net income (loss) on the income statement ."

The term balance sheet refers to a financial statement that reports a company's assets, liabilities, and shareholder equity at a specific point in time.

Given is to complete the statement as -

"Adjusting entries are needed to correctly measure the ________."

We can write the complete statement as -

"Adjusting entries are needed to correctly measure the net income (loss) on the income statement ."

Therefore, the complete statement as -

"Adjusting entries are needed to correctly measure the net income (loss) on the income statement ."

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Solve for the x in the equation to determine the equivalent fraction.

x =  

49

99

Therefore, 49/99 is simplified fraction of 0.49 repeating.

What is 0.49 repeating as a fraction?

49/99 is the simplest fraction form for decimal 0.49 repeating

Answer:

8

Step-by-step explanation:

Order of operations

Look below

Answer:

15 I just stared so I am bad but I think I am correct

Rounding to one decimal place, the approximate standard deviation for how long Jessica will wait is 1.7 minutes.

In a uniform distribution, the standard deviation (σ) can be calculated using the formula:

σ = (b - a) / √12

where 'a' is the lower bound of the distribution and 'b' is the upper bound.

In this case, the lower bound is 13 minutes and the upper bound is 19 minutes. Plugging these values into the formula, we get:

σ = (19 - 13) / √12

  = 6 / √12

  ≈ 1.732

what is deviation?

Deviation refers to the measure of how much individual data points differ from a central value, such as the mean or median, in a dataset. It quantifies the amount of variation or spread in the data.

There are two types of deviation:

Absolute Deviation: It is calculated by taking the absolute difference between each data point and the central value. The absolute deviation is always a positive value, as it ignores the direction of the difference. The average of these absolute differences provides the average deviation.

Standard Deviation: It is a commonly used measure of deviation that provides a more comprehensive understanding of the spread of data. The standard deviation is calculated by taking the square root of the average of the squared differences between each data point and the mean. It considers both the direction and magnitude of the differences, and it is widely used in statistical analysis.

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