Simplify the linear expression.

−4x+5(−5x−1)

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#2 Simplify the linear expression.

−5/8a+2/3−1/4a−5/6

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the picture is for the second question

The probability that Linda's omelet will contain at least one Salmonella-contaminated egg is approximately 0.4213 or 42.13%.

We have,

To calculate the probability that Linda's omelet will contain at least one Salmonella-contaminated egg, we can use the concept of complementary probability.

The complementary event to "at least one Salmonella-contaminated egg" is "no Salmonella-contaminated eggs."

The probability of no Salmonella-contaminated eggs in a three-egg omelet is (5/6) x (5/6) x (5/6) since each egg has a 1/6 probability of not being contaminated.

Therefore,

The probability of at least one Salmonella-contaminated egg is:

= 1 - (5/6) x (5/6) x (5/6)

= 91/216 or approximately 0.4213.

Thus

The probability that Linda's omelet will contain at least one Salmonella-contaminated egg is approximately 0.4213 or 42.13%.

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Answer:

8

Explanation:

A good way to find the area of a figure with diagonal lines is to find the area of the section that has full squares and then add the other parts together and find the area of that. As you can see in the polygon, there are four units in the middle that don't get cut off by the diagonal line. The area of that part of the figure is 1*4 = 4. Now, if you take out that section, and move the other parts together, you can find their area and then add it to 4. The other parts of the polygons are triangles, and when you move them together, they form the same shape as the middle section did, and have an area of 4. The area of the entire figure is the area of one section plus the area of the other. 4 + 4 = 8

I hope that makes sense :)

Answer:

(-4, 6), (0, 2), (4,-2)

Step-by-step explanation:

Answer:

what is the question

Step-by-step explanation:

The tangent of the corners of this right-angle triangle is 4/3.

The Pythagorean theorem states, "In a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides." The sides of this triangle were called the perpendicular, the base, and the hypotenuse.

The tangent of a right triangle angle is equal to the ratio of the opposite side to the adjacent side. So if we call the other side "x", we can set the following formula:

tan(θ) = 8/x

where θ is the angle from height 8. We can find the value of x using the Pythagorean theorem.

\(x^2 + 8^2 = 10^2\\x^2 = 100 - 64\\x^2 = 36\\x = 6\)

So the tangent values ​​are:

tan(θ) = 8/6 = 4/3

Therefore, the tangent of the corners of this right triangle is 4/3.  

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Answer:

Okay si the formula to find a trapzoid frame is 1/2 • H ( b1 + b2 )

Step-by-step explanation:

1. add the two bases

2. mutiply it by the height

3. divide it by 2

The value fo the numerical expression 2 × (2.5 -|-6|) will be negative 7.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 2 × (2.5 -|-6|)

We know that the value inside the mode is always positive, then the expression is written as,

⇒ 2 × (2.5 -|-6|)

⇒ 2 × (2.5 - 6)

Simplify the expression, then the value of the expression is given as,

⇒ 2 × (2.5 - 6)

⇒ 2 × (- 3.5)

⇒ - 7

The value fo the numerical expression 2 × (2.5 -|-6|) will be negative 7.

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Answer:

8

Step-by-step explanation:

The range of the data set is determined by the maximum - minimum.

The max value is 11

The min value is 3

11-3=8

The range of the data set is 8.

yes, for your x to be positive and to make it remain on the left hand side you actually have to add 4x to both side to eliminate x from the right hand side.

Answer:

13. P(-8,2)

14. M(4,-5)

Based on the given information, the regression that represents the estimated production function model for firm output in the industry is:

c. log(Q1) = 10.74 + 0.032 Li

The regression equation in option c represents a logarithmic relationship between the output (Q1) and the number of workers employed (Li). Taking the logarithm of the output variable allows for a more flexible functional form and captures potential diminishing returns to labor.

In the regression equation, the constant term (10.74) represents the intercept or the level of output when the number of workers is zero. The coefficient of 0.032 (0.032 Li) indicates the relationship between the logarithm of output and the number of workers employed.

Since the question states that employing another worker leads to a 32 percent increase in output, this aligns with the coefficient of 0.032 in the regression equation. It suggests that a 1 percent increase in the number of workers (Li) leads to a 0.032 percent increase in output, which is equivalent to a 32 percent increase.

Therefore, the regression equation in option c best represents the estimated production function model in this scenario.

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Answer:

s(t) = -4.9t² + 39.2t

Step-by-step explanation:

Given the projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s²

Given

g = -4.9m/s²

v0 = 39.2m/s

s0 = 0m (the initial height)

On substituting into the formula;

s(t) = gt² + v0t + s0

s(t) = -4.9t² + 39.2t + 0

s(t) = -4.9t² + 39.2t

This gives the equation that models the height

Answer:

-5.5

Step-by-step explanation:

Answer:

-5. 9

Step-by-step explanation:

\( \sqrt[3]{ - 205} = - 5.8963...... = approximately - 5.9\)

Answer:

Raj's height is 16.

Step-by-step explanation:

The answer is 16 because if you multiply 6 with 16 you would get 96. Thanks and if you could mark me as brainliest.

Smallest expected loss over the next year with a probability of 1% is -164.45%

The smallest expected loss over the next year with a probability of 1% can be calculated using the formula:

Expected loss = Annual return - (Standard deviation * Z-score)

Where Z-score is the number of standard deviations away from the mean that corresponds to the given probability. For a probability of 1%, the Z-score is -2.33.

Plugging in the given values into the formula:

Expected loss = 13% - (65% * -2.33)

Expected loss = 13% + 151.45%

Expected loss = 164.45%

Therefore, the smallest expected loss over the next year with a probability of 1% is -164.45%. This means that there is a 1% chance that the stock will lose at least 164.45% of its value over the next year.

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Answer:

c.29

Step-by-step explanation:

Your equation is 3x+18+75=180

Then, you combine like numbers so 75+18 so your equation is now 3x+93=180

Next, you subtract the 93 and get 3x=87

Finally, divide 87 by 3 to get x=29!!

Hope this helps have a great day :)

Answer:

5 (4 x + 5)

That is the answer

5 is a factor if 20 and 25 and 4x + 5 cannot be furthor be simplified.

Answer:

Step-by-step explanation:

Well, all we have to do is square 12.

= \(12^{2}\)

= 12 x 12

= 144

The total square footage of the room is 144 feet.

I am not sure if this answer is correct, so please tell me if I am wrong. I hope this answer helped you! :)

the indefinite integral of ∫e^(3x)sin(4x) dx using integration by parts is (-9/25)e^(3x) cos(4x) + C.

To find the indefinite integral of ∫e^(3x)sin(4x) dx using integration by parts, we need to use the following formula:∫u dv = uv − ∫v duwhere u and v are functions of x and dv and du are their respective derivatives.We have u = sin(4x) and dv = e^(3x) dx. Therefore, du/dx = 4cos(4x) and v = (1/3)e^(3x).Now, we substitute these values in the formula above to get∫e^(3x)sin(4x) dx= (-1/3)e^(3x) cos(4x) + (4/3) ∫e^(3x)cos(4x) dxNow, we integrate the second term using the same formula as above. We have u = cos(4x) and dv = e^(3x) dx. Therefore, du/dx = -4sin(4x) and v = (1/3)e^(3x).Substituting these values in the formula above, we get∫e^(3x)sin(4x) dx= (-1/3)e^(3x) cos(4x) + (4/3) [(1/3)e^(3x) cos(4x) + (4/3)∫e^(3x)sin(4x) dx]Simplifying the equation, we get∫e^(3x)sin(4x) dx= (-1/9)e^(3x) cos(4x) + (16/27)∫e^(3x)sin(4x) dxWe can solve for ∫e^(3x)sin(4x) dx by bringing all the terms containing it to the left side of the equation and simplifying. We get∫e^(3x)sin(4x) dx= (-9/25)e^(3x) cos(4x) + C, where C is the constant of integration.

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The final expression of the given integral is

\(∫ e^3x sin(4x)dx = (-1/3)e^3x sin(4x) + (16/27)e^3x cos(4x) - (16/81) e^3x cos(4x) - (16/243) e^3x sin(4x) + C\)

where C is the constant of integration.

Given the integral \(∫e^3x sin(4x)dx\)

To integrate the given integral, we will use the Integration by parts formula which states that if u and v are functions of x, then Integration by parts formula

∫ u dv = uv - ∫ v du

Where ∫ v du is simpler than ∫ u dv.

The product of two functions is simplified by integrating one of the functions and differentiating the other one.

Let us assign u and v such that \(∫ e^3x sin(4x)dx\)

Let \(u = sin(4x) dv = e^3x dx\)(since e^3x is being integrated)

du = 4cos(4x) dx

\(v = 1/3 e^3x\)

So,\(∫ e^3x sin(4x)dx = (-1/3)e^3x sin(4x) + 4/3 ∫ e^3x cos(4x) dx\)

Let us apply Integration by parts again and take

u = cos(4x) dv

= \(e^3x dx\)

du = -4sin(4x) dx

v = \(1/3 e^3x\)

Putting these values into the formula, we get

\(∫ e^3x sin(4x)dx = (-1/3)e^3x sin(4x) + 4/3 (1/3)e^3x cos(4x) - 16/9 ∫ e^3x sin(4x) dx+ (16/9) ∫ e^3x cos(4x) dx(16/9) ∫ e^3x cos(4x) dx\)

= \((16/9) (1/3) e^3x sin(4x) + (16/9)(4/3) ∫ e^3x sin(4x) dx- (16/3) e^3x cos(4x) / 81\)

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Answer:

72 sq ft

Step-by-step explanation:

A square room means ecah side is equal. so 12*12= 144.

12 times 6 (for the height)= 72 sq ft

Answer:

72 square feet

Step-by-step explanation:

if the area of the floor is 144 and square, that means that the sides are the same length. 12 * 12 = 144 so the length is 12.

the height of the room is 6 so you multiply 12 and 6 and you get 72

hope this helped! :)

The water pipe sometimes bursts in winter because of the flowing water getting transformed into freezing water due to drop in temperature and the volume increases creating more pressure on the wall pipes.

Bursting of Water Pipes During a Very Cold Winter

The straightforward explanation is that during very cold winters, as water freezes into ice, it expands, causing solid ice to fill a larger volume than the liquid that was previously flowing through the pipes.

As we know that, the pressure P increases with increase in volume, V, the increased volume of frozen water leads to increase in the pressure inside the pipe.

The pressure that the ice builds up inside the pipes could rupture the pipe walls.

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The two numbers that are in both sequences and between 10 and 30 are 14 and 26.

An ordered set of numbers that adhere to a pattern or rule is referred to as a sequence in mathematics. Sequences can be defined in a variety of ways, such as a formula or a recursive definition, and they can be finite or infinite. Several branches of mathematics, including calculus, algebra, and number theory, employ sequences to explore and answer problems related to the behaviour of functions. For instance, sequences may be used to create fractals and other geometric patterns, predict the rise of populations or the spread of illnesses, and examine the distribution of prime numbers.

The given sequence is 4n - 5, and the nth term is 3n + 2.

For numbers between 10 and 30 in the sequence we have:

4n - 5 ≥ 10

4n ≥ 15

n ≥ 3.75

And,

4n - 5 ≤ 30

4n ≤ 35

n ≤ 8.75

Now, we calculate the sequence for n from 4 to 8:

When n = 4, 3n + 2 = 14

When n = 5, 3n + 2 = 17

When n = 6, 3n + 2 = 20

When n = 7, 3n + 2 = 23

When n = 8, 3n + 2 = 26

Hence, the two numbers that are in both sequences and between 10 and 30 are 14 and 26.

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Given:

B is the midpoint of line AC.

\(AB=6Y-14\)

\(BC=10-2Y\)

To find:

The length of AC.

Solution:

It is given that B is the midpoint of line AC. So,

\(AB=BC\)

\(6Y-14=10-2Y\)

\(6Y+2Y=10+14\)

\(8Y=24\)

Divide both sides by 8.

\(Y=\dfrac{24}{8}\)

\(Y=3\)

The value of Y is 3.

Now,

\(AC=AB+BC\)

\(AC=6Y-14+10-2Y\)

\(AC=4Y-4\)

Putting \(Y=3\), we get

\(AC=4(3)-4\)

\(AC=12-4\)

\(AC=8\)

Therefore, the length of AC is 8 units.

Answer:

535 POUNDS

Step-by-step explanation:

The total cost of the trip is 1280+640+220= 2,140

2140/4 = 535

Answer:

Sorry I’m not sure because my answer seems to simple so it may be wrong

Step-by-step explanation:

Total cost: £2,140

2,140 ÷ 4 = 535

So each friend including Tim pays $535 for the trip