Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 8 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cups?

150 minutes
160 minutes
170 minutes
180 minutes

Answer: \(60^{\circ}\)

Step-by-step explanation:

Given

Andy wants to turn \(180^{\circ}\) on his skateboard

Currently, he can make a turn of \(120^{\circ}\)

The difference between the required and current turn degree meets his goal i.e.

\(\Rightarrow 180^{\circ}-120^{\circ}\\\Rightarrow 60^{\circ}\)

Thus, he needs to turn by \(60^{\circ}\) to meet his goal

Answer:

3 (m-2)-5=8-2 (m-4)

Step-by-step explanation:

please mark me as brainliest.

Answer:

-12

Step-by-step explanation:

Answer:

y = -1/2x+3

Step-by-step explanation:

We have y = 2x-9

This is in slope intercept form

y = mx+b  where m is the slope

The slope is 2

We want a line that is perpendicular

Perpendicular lines have slopes that are negative reciprocals

The slope is -1/2

The equation of the new line is

y = -1/2x+b

Substituting the point into the equation

5 = -1/2(-4)+b

5 = 2+b

5 -2=b

3=b

y = -1/2x+3

Answer:

y = -1/2x + 3

Step-by-step explanation:

We know that if two lines are perpendicular to each other the multiplication of the slopes of those 2 lines equals -1.

m₁ × m₂ = -1

Given that, the slope of one line is 2 (m₁). Now, let us find the slope of the other line (m₂) using the above formula.

2 × m₂ = -1

2m₂ = -1

Divide both sides by 2.

m₂ = -1/2

And now let us find the value of the y-intercept ( c in the formula y = mx + c) using the given coordinate.

( -4 , 5 )⇒ ( x , y ).

Let us find it now.

y = mx + c

5 = -1/2x × -4 + c

5 = 2 + c

5 - 2 = c

3 = c

And now let us write the equation for the new line.

y = m x + c

y = -1/2x + 3

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

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The mean of the time taken by a mechanic to rebuild the transmission of 2005 Chevrolet Cavalie μ = 8.4 hours The standard deviation of the time taken by a mechanic to rebuild the transmission of 2005 Chevrolet Cavalier, σ = 1.8 hours.

The sample size, n = 40 We have to find the probability that their mean rebuild time exceeds 8.7 hours. We know that the sampling distribution of the sample means is normally distributed with the following mean and standard deviation.

We have to find the probability that the sample mean rebuild time exceeds 8.7 hours or Now we need to standardize the sample mean using the formula can be found using the z-score table or a calculator. Therefore, the probability that the mean rebuild time of 40 mechanics exceeds 8.7 hours is 0.1489.

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Answer:

5 ≤ The number of packages Renna can remove

Step-by-step explanation:

The allowable mass on the elevator is given as 450 kg

The mass of Renna and the packages = 620 kg

The mass of each package = 37.4 kg

The mass Renna should remove from the elevator to meet the mass requirement = 620 - 450 = 170 kg

Therefore, the number of packages, n, Renna should remove can be found from the following inequality

170 ≤ n × 37.4

We note that since the mass of the packages are known, 5 packages weigh 187 kg which is > 170 kg

Therefore, the number of packages to be removed is 170 ≤ n × 37.4 < 187

Dividing by 37.4, we get;

Number of packages to be removed = 4.55 ≤ n < 5 ≈ 5 packages

Given that there whole number packages, we have;

5 ≤ n, which is , 5 ≤ The number of packages Renna can remove.

Answer:

37.4p  ≥ 170

Step-by-step explanation:

5 are in total packages.

Trust me this is the answer because I did this before

Hope this helps ;)

The second fuel line must be able to fill the oil tanker at a rate of 2.67 tanks per hour in order to fill the tanker in 45 minutes when used together with the first fuel line.

Rate of the first fuel line = 1 tank / 3 hours = 1/3 tanks per hour

Let's assume that the rate of the second fuel line is x tanks per hour. When both fuel lines are used together, their combined rate is the sum of their individual rates:

Combined rate = Rate of the first fuel line + Rate of the second fuel line

1 tank / 0.75 hours = (1/3) tank per hour + x tanks per hour

Simplifying the equation, we get:

1 tank / 0.75 hours - 1/3 tank per hour = x tanks per hour

x = (1 tank / 0.75 hours - 1/3 tank per hour)

x = 2.67 tanks per hour

Therefore, the second fuel line must be able to fill the oil tanker at a rate of 2.67 tanks per hour in order to fill the tanker in 45 minutes when used together with the first fuel line.

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The diameter of a wire significantly impacts its strength, range, and stiffness.

1. Strength: As the diameter of a wire increases, its overall strength improves. A larger cross-sectional area allows the wire to withstand greater forces before breaking. This is because the increased material can distribute force more effectively, resulting in enhanced tensile strength.

2. Range: The diameter of a wire also influences its range or length. Thicker wires tend to have shorter range capabilities compared to thinner wires. As the diameter increases, the weight and stiffness of the wire rise as well, making it harder to extend or coil over long distances. Conversely, thinner wires are more flexible and lightweight, enabling them to cover greater lengths.

3. Stiffness: Lastly, the diameter of a wire impacts its stiffness, which is the resistance of the wire to bending or deformation. With a larger diameter, the stiffness of the wire increases due to the higher amount of material present. This means that it requires more force to bend or change the shape of the wire, resulting in greater rigidity. On the other hand, wires with smaller diameters are more pliable and can easily be bent or manipulated.

In summary, the diameter of a wire plays a crucial role in determining its strength, range, and stiffness. Thicker wires exhibit enhanced strength and stiffness but may have limited range capabilities, while thinner wires are more flexible and suitable for longer distances but may not be as strong or rigid.

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Answer:

The correct answer:

B.) 3t = 5(3 – t)

Step-by-step explanation:

Drag each tile to the correct cell in the table.

Trip to end of trail — 3,   t,   3t

Trip back — 5,   3 - t,   5(3 - t)

Tap the THANKS button and RATE ⭐️

(If helpful)

Answer:

b

trip to end: 3,    t,   3t

trail back: 5,    3-t,     5(3-t)

Step-by-step explanation:

edge 2021

A rule for reflecting the point about the line y = x:The line y = x is the line that passes through the origin and makes an angle of 45° with the x-axis. To reflect a point about the line y = x, we take the coordinates of the point and swap the x and y coordinates.

(a) For each point in the given diagram, draw the reflection of the point about the line y = x and indicate the coordinates of the image:Given diagram:Reflection of A (-3,4) about the line y = x can be calculated as below: Reflecting point A (-3,4) about y = x line we get Image A (4,-3). Thus the image of A is A(4,-3).Reflecting point B (-5,2) about the line y = x can be calculated as below: Reflecting point B (-5,2) about y = x line we get Image B (2,-5). Thus the image of B is B(2,-5).Reflecting point C (0,3) about the line y = x can be calculated as below: Reflecting point C (0,3) about y = x line we get Image C (3,0). Thus the image of C is C(3,0).Reflecting point D (6,-2) about the line y = x can be calculated as below: Reflecting point D (6,-2) about y = x line we get Image D (-2,6). Thus the image of D is D(-2,6).What do you notice?When we reflect a point about the line y = x, the x and y coordinates switch places. That is, the x-coordinate of the image is equal to the y-coordinate of the pre-image and the y-coordinate of the image is equal to the x-coordinate of the pre-image. This is clearly seen in the table that we made. When we reflect each point about the line y = x, we get new points whose x and y coordinates are the opposite of the original point.Write down, in words, a rule for reflecting the point about the line y = x:The line y = x is the line that passes through the origin and makes an angle of 45° with the x-axis. To reflect a point about the line y = x, we take the coordinates of the point and swap the x and y coordinates. In other words, the image of the point (x, y) is (y, x).State a general rule in terms of x and y for reflecting a point about the line y = x:To reflect a point about the line y = x, we take the coordinates of the point and swap the x and y coordinates. In other words, the image of the point (x, y) is (y, x).

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If the mean cost of new books is the same as the median cost of new books in a small town library, the distribution of book costs is most likely normal with a symmetrical peak at the center.

In the library of a small town, the mean cost of new books is the same as the median cost of new books. The distribution of book costs is likely symmetrical with a single peak at the center, as in the normal distribution. In other words, the distribution of book costs is most likely to be normal when the median cost and the mean cost are the same. Therefore, if the mean cost of new books in the library of a small town is the same as the median cost of new books, it suggests that the distribution of book costs is normal. A normal distribution is one in which the median, mode, and mean are equal, as well as symmetrical. The median is the middle value in a sorted data set, whereas the mean is the average of all the data in the set. In conclusion, if the mean cost of new books is the same as the median cost of new books in a small town library, the distribution of book costs is most likely normal with a symmetrical peak at the center.

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Answer:

Step-by-step explanation:

They sold 34 loafs of bread

Answer:

B

Step-by-step explanation:

Answer:

cost of journey of 25 miles =  £ 17.5

Step-by-step explanation:

Base on the equation the cost of the journey can be represented as

C = 0.5n + 5

where

C = cost in £

n = number miles covered

To calculate the cost of a journey that is 25 miles we have to insert the value of n as 25  in the equation. Therefore,

C = 0.5n + 5

n = 25

C = 0.5(25) + 5

C = 12.5 + 5

C = £ 17.5  

cost of journey of 25 miles =  £ 17.5

Answer:

Step-by-step explanation:

The horizontal distance between Ryan and the dolphin is  57.87 feet.

The airplane is 10735.96 feet away from the control tower

The angle of depression from the top of the lighthouse to the boat is 0 degrees.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Using trigonometry, we can find the horizontal distance x:

tan(15) = x / 228

x = 228 tan(15)

x = 57.87 feet

Therefore, the horizontal distance between Ryan and the dolphin is  57.87 feet.

2. Using trigonometry, we can find the horizontal distance between the airplane and the control tower:

tan(56) = x / 7450

x = 7450tan(56)

x = 10735.96 feet

Therefore, the airplane is approximately 10735.96 feet away from the control tower

3. We want to find the angle of depression from the top of the lighthouse to the boat. Since the lighthouse is 275 feet above the water, we can use trigonometry to find the height of the lighthouse above the boat:

tan(90) = 275 / x

x = 275 / tan(90)

x = undefined

Therefore, the angle of depression from the top of the lighthouse to the boat is 0 degrees.

Hence,  the horizontal distance between Ryan and the dolphin is approximately 57.87 feet.

the airplane is approximately 10735.96 feet away from the control tower

the angle of depression from the top of the lighthouse to the boat is 0 degrees.

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The average change in sales income per month is $ 3 million.

What is average change and how is it assessed?
The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function. A method that determines the amount of change in one item divided by the corresponding amount of change in another is known as an average rate of change function.

Given, for 3 months, the average change in the company's sales
= $ 9 million
Also, for x months, the average change in the company's sales
= $ (9x/3) million
Therefore, for one month, the average change in the company's sales
= $ (9*1/3) million = $ 3 million
Thus, the average change in sales income per month is $ 3 million.

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Answer:

you had a total of 6 cupcakes and your tree bloomed 3 times in those 33hours you can find the answer easily by adding 11+11+11 which equals 33 meaning your tree bloomed 3 times since it only blooms two cupcakes 3*2 is 6 so you have a total of 6 cupcakes unless you ate them

Step-by-step explanation:

Answer: B. Y=2/3x

Step-by-step explanation:

Answer:

5 ft x 7 ft

Step-by-step explanation:

60/5 = 84/x

cross multiply to solve for x

60x = (84)(5)

60x = 420

x = 420/60 = 7

The expression for the difference of two linear functions is (f - g)(x) = 4x - 6.

A linear function is a type of function in mathematics that has the form f(x) = mx + b, where x is the independent variable, f(x) is the dependent variable, m is the slope of the line, and b is the y-intercept.

To find the expression for the difference of two linear functions, f(x) and g(x), denoted by (f - g)(x).

The expression for (f - g)(x) can be found by subtracting g(x) from f(x):

(f - g)(x) = f(x) - g(x)

Substituting the given functions f(x) = x - 2 and g(x) = -3x + 4, we get:

(f - g)(x) = f(x) - g(x)

= (x - 2) - (-3x + 4) [Substitute the given values of f(x) and g(x)]

= x - 2 + 3x - 4 [Distribute the negative sign in front of (-3x + 4)]

= 4x - 6 [Combine like terms]

Therefore, (f - g)(x) = 4x - 6.

Option D (-3x² - 2x - 8) is incorrect as it involves squaring a linear expression, which would result in a quadratic expression. Option A (which has no operation between 3 and 22) is not a valid expression. Option B (-3x - 8) and C (3x3x22 or 198) do not take into account the fact that each sundae can be made using one of 3 syrups and one of 3 candy toppings.

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The term you are looking for is the "z-value." The z-value for a point is the number of standard errors a point is away from the mean.

The z-value for a point is the number of standard errors a point is away from the mean. This is a long answer but it accurately explains the concept.

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The probability  that both bills are $1 is 0.76

Following the selection of one $1 bill, the remaining number of $1 bills in the bag is reduced to 19.

Based on statistical analysis, there is a high likelihood of selecting a $1 bill on the second attempt, with a confidence level of 95%.

The probability of drawing two $1 bills is mathematically deduced to be zero. The attainment of a numerical outcome of 76 is contingent upon the computation of the product derived from the probability of selecting a $1 bill during the initial endeavor, which stands at 4 out of 5, and the likelihood of selecting another $1 bill in a consequent endeavor, which amounts to 19 out of 20.

In an alternative expression, the probability of two bills being $1 bills simultaneously is 76%.

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Answer:

n ≤ 13

Step-by-step explanation:

≤ is a symbol used to show less than or equal to. Since n is less than or equal to 13, you will put it like n ≤ 13.

Float rate_of_pay  a declaration for a variable rate_of_pay that can hold values like 11.50 or 12.75.

What is   float rate_of_pay?

Is a fixed or floating rate preferable?

float rate_of_pay

rate_of_pay = 11.50, 12.75;

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The ladder reaches the height of approximately 16.03 feet up the wall. (Rounded to the nearest hundredth of a foot)

We can use trigonometry to solve this problem. Let h be the height up the wall that the ladder reaches, and let θ be the angle that the ladder makes with the ground. We know that the length of the ladder (hypotenuse) is 16 feet and the angle θ is 78 degrees.

We can use the trigonometric function tangent (tan) to find the height h:

tan(θ) = opposite/adjacent

In this case, the opposite side is the height h, the adjacent side is the distance from the ladder to the wall (which is the same as the distance from the wall to Lauren), and the angle θ is 78 degrees. So we have:

tan(78°) = h/x

where x is the distance from the ladder to the wall. Solving for h, we get:

h = x * tan(78°)

We don't know the value of x, but we can use the fact that the ladder is 16 feet long to find it. Using the Pythagorean theorem, we have:

x^2 + h^2 = 16^2

Substituting h = x * tan(78°), we get:

x^2 + (x * tan(78°))^2 = 16^2

Simplifying, we get:

x = 16 / √(1 + tan^2(78°))

x ≈ 3.83 feet

Finally, we can substitute x into our equation for h:

h = x * tan(78°)

h ≈ 16.03 feet

Therefore, the ladder reaches approximately 16.03 feet up the wall. Rounded to the nearest hundredth of a foot, the answer is 16.03 feet.

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Answer:

x = 50

Step-by-step explanation:

sin 40º = 32 / x

0.64 = 32 / x

x = 32 / 0.64

x =~ 50

Step-by-step explanation:

Any real number that cannot be expressed as the quotient of integers

I HOPE THE DAY GOES GREAT.

Answer:

Decimal

Step-by-step explanation:

Im going to assume you double pasted, happens sometimes. so the answer would be decimal.