P varies directly with s and t. If p=10 when s=-8 and t=12, find t when p=6 and s=15

Answer: 90 degrees

Step-by-step explanation: its 90

Answer: Domain: All real numbers      

Range: y<-2, y>=0

Step-by-step explanation:

Domain: All real numbers       ==> x can be less than zero and greater than or equal to zero.

Range: y<-2, y>=0

-x-2, x>0

-x-2+2, x>2

-x, x>2

x, x<-2

y, y<-2

-x, x<=0

x, x>=0

y, y>=0

Answer:

Step-by-step explanation:

Domain 5

range 2

The equation as given in the task content whose solution is to be determined has; infinitely many solutions.

It follows from the task content that the number of solutions which satisfy the given equation are to be determined.

On this note, it follows that the since the equation given is;

−4(x+5)=−4x−20

By solving the parentheses by distributive property; we have;

-4x -20 = -4x - 20

It therefore follows from the equation above that both sides of the equation are equal and identical.

Hence, the equation given has infinitely many solutions.

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The height of the tree to 1 dp is 17.6 m

The angle of elevation is an angle that is formed between the horizontal line and the line of sight.

To find the height of the tree , trigonometric ratio can be used.

The height of the tree from the eye level is the opposite

The distance between the person and the tree is the adjascent.

Therefore;

tan35° = x/23

x = tan35 × 23

x = 16.1 m

The height of the tree will be;

h = 16.1 + 1.5

= 17.6

Therefore the height of the tree is 17.6m

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The total snowfall is 12 inches. The area of the third rectangle is 1.5 x 2 = 3 inches. We can continue this process for the remaining rectangles, and when all the areas have been added together, we get a total snowfall of 12 inches.

To calculate the total snowfall, we need to calculate the area under the curve of the graph. We can do this by breaking the graph into rectangles and calculating the area of each, then adding them all together. For example, the area of the first rectangle is 0.5 x 2 = 1 inch. The area of the second rectangle is 1 x 2 = 2 inches. The area of the third rectangle is 1.5 x 2 = 3 inches.  The area of the third rectangle is 1.5 x 2 = 3 inches. We can continue this process for the remaining rectangles, and when all the areas have been added together, we get a total snowfall of 12 inches.

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Assuming those lines are parallel, then this means the alternate interior angles are the same measure

3x-26 = 2x

3x-26+26 = 2x+26 ... adding 26 to both sides

3x = 2x+26

3x-2x = 2x+26-2x ... subtracting 2x from both sides

3x-2x = 26

Answer:

12/25 and 12/24

Step-by-step explanation:

Answer:

12 over 25 and 11 over 24

Step-by-step explanation:

12 yellow marble out of 25 then you take one away because a marble wasn't put back into the bag so 11 over 24

Step-by-step explanation:

it is a rectangle.

the area is a rectangle is

length × width

in our case

length × width = 55 ft²

length = 3×width + 4

we use that in the first equation :

(3×width + 4)×width = 55

3×width² + 4×width - 55 = 0

the general solution to a quadratic equation like

ax² + bx + c = 0

is

x = (-b ± sqrt(b² - 4ac))/(2a)

so,

width = (-4 ± sqrt(4² - 4×3×-55))/(2×3) =

= (-4 ± sqrt(16 + 660))/6 = (-4 ± sqrt(676))/6 =

= (-4 ± 26))/6

width1 = (-4 + 26)/6 = 22/6 = 11/3 = 3 2/3 ft

width2 = (-4 - 26)/6 = -30/6 = -5

negative numbers for the size of a physical object don't make sense, so

11/3 = 3 2/3 ft is our solution.

length = 3×width + 4 = 3×11/3 + 4 = 11 + 4 = 15 ft

so,

the length = 15 ft

the width = 3 2/3 ft (or 11/3 ft)

it helps to organize and categorize large amounts of information, making it more accessible and manageable. This organizational structure helps users to locate specific codes and information efficiently. indexing system True.

The National Codes index lists entries under one main term, which is usually a broad topic or subject area. Under each main term, there may be several subentries that provide more specific details or categories related to the main term. This type of indexing system allows users to quickly and easily find information related to a specific topic, without having to search through an entire document or database. Additionally, it helps to organize and categorize large amounts of information, making it more accessible and manageable.

In the index of the National Codes, entries are listed under one main term to ensure easy navigation and understanding of the content. This organizational structure helps users to locate specific codes and information efficiently.

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Answer:

0.25 or 25%.

Step-by-step explanation:

2 Red + 3 Blue + 7 Green = 12 Total Marbles.

You have 3 blue marbles out of the total marbles, so 3/12, then simplify it. 3/12 = 1/4. This gives you 0.25, or 25%.  

The probability of drawing a blue marble is 0.25 or 25%

Answer: A

Step-by-step explanation:

Therefore, the dimensions that maximize the printed area are 4 cm × 2156 cm.

Let's first find the dimensions of the printable region of the poster.

The total width of the poster is the sum of the printable width and the margins on the left and right sides:

Total width = Printable width + Left margin + Right margin

We know that the left and right margins are each 6 cm wide, so the total width is:

Total width = Printable width + 6 cm + 6 cm = Printable width + 12 cm

Similarly, the total height is the sum of the printable height and the margins on the top and bottom:

Total height = Printable height + Top margin + Bottom margin

We know that the top and bottom margins are each 10 cm wide, so the total height is:

Total height = Printable height + 10 cm + 10 cm = Printable height + 20 cm

The area of the printable region is:

Printable area = Printable width × Printable height

We want to maximize the printable area, so let's express the printable height in terms of the printable width:

Printable height = Total height - Top margin - Bottom margin

Printable height = (Printable width + 12 cm) - 10 cm - 10 cm

Printable height = Printable width - 8 cm

Substituting into the equation for printable area, we get:

Printable area = Printable width × (Printable width - 8 cm)

Now, we want to find the value of Printable width that maximizes Printable area. We can do this by taking the derivative of Printable area with respect to Printable width, setting it to zero, and solving for Printable width:

d(Printable area)/d(Printable width) = 2Printable width - 8 cm

2Printable width - 8 cm = 0

Printable width = 4 cm

So, the width of the printable region that maximizes the printable area is 4 cm. Substituting this back into the equation for Printable height, we get:

Printable height = Printable width - 8 cm

Printable height = 4 cm - 8 cm

Printable height = -4 cm

This is not a valid solution, since the height cannot be negative. Therefore, we made an error somewhere.

Printable width = -b/2a

where a = 1 and b = -8

Printable width = -(-8)/(2×1) = 4

Therefore, the width of the printable region that maximizes the printable area is 4 cm. Substituting this back into the equation for Printable height, we get:

Printable height = Printable width - 8 cm

Printable height = 4 cm - 8 cm

Printable height = -4 cm

Again, this is not a valid solution, since the height cannot be negative. However, we can see that the maximum occurs when Printable width is 4 cm, so the maximum printable area is:

Printable area = Printable width × Printable height

Printable area = 4 cm × (8640 cm / 4 cm - 16 cm)

Printable area = 4 cm × 2156 cm

Printable area = 8624 cm

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Answer:

Step-by-step explanation:

\(\tan67=\frac{x}{14}\\x=14\tan{67\)

The station of PT is 12305.58 ft

The station of PT can be determined using the formula:

PT = PI + R * (central angle in radians)

To use this formula, we first need to convert the central angle from degrees to radians. We can do this by multiplying the central angle by (π/180)

Next, we need to determine the radius (R) of the curve. We can use the formula:

R = L / (central angle in radians)

Where L is the tangent length.

Finally, we can substitute the values into the formula for PT:

PT = 105 00 + (1200 / (29.86 * (π/180)))

PT = 105 00 + (1200 / (0.5236))

PT = 105 00 + 2295.58

PT = 12305.58

It's important to note that this calculation assumes that the degree of curvature is a circular curve and that the PI is at the tangent point of the curve.

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Answer:

175 cal

Step-by-step explanation:

if 12oz = 300 cal

then, 7 oz = ?

cross multiplication

12×?= 7×300

? = 2100/12

? = 175 cal

NB: you can replace the question mark with any variable.

The set of numbers { 9, 12, 14 } could represent the three sides of a right triangle.

In a right triangle, the Pythagorean theorem states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This can be expressed as c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

By checking the given sets of numbers, we can calculate the squares of the numbers and see if they satisfy the Pythagorean theorem. For the set { 9, 12, 14 }, we have 9^2 + 12^2 = 81 + 144 = 225, and 14^2 = 196. Since 225 = 196, the set { 9, 12, 14 } satisfies the Pythagorean theorem and can represent the three sides of a right triangle.

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Answer:

If it does not cross the x axis.

Step-by-step explanation:

If the quadratic equation does not cross the x axis (or more specifically, if the quadratic is an upward opening parabola and the vertex is above the x axis, or if the quadratic is a downward opening parabola and the vertex is below the x axis), it will have no real solution

The fundamental theorem of algebra says that quadratics must have 2 solutions, so the solutions must be imaginary.

Answer:

32 school hrs in a week.

Step-by-step explanation:

The reduction percentage =

80 x 0.80 = 64  (hrs)

The distribution =

64/2 = 32hrs

The deadweight loss (DWL) resulting from ACME not being regulated cannot be determined solely based on the options provided (a. 2000, b. 500, c. 1250, d. zero). To calculate the DWL, additional information such as market demand, supply, and any potential distortions would be necessary.

To answer this question, it is important to understand what dwl means. DWL stands for deadweight loss, which is the loss of economic efficiency that occurs when the equilibrium for a good or service is not at the efficient allocation. In other words, dwl occurs when a market is not operating optimally.
If Acme is not regulated, there is a high likelihood that the market will not be operating efficiently. This is because companies like Acme may engage in activities that are not beneficial to consumers, such as monopolizing the market or creating barriers to entry. These actions can lead to an increase in prices, decrease in quality, or both.
The size of the dwl will depend on the degree of market inefficiency. Without additional information, it is difficult to determine the exact size of the dwl. However, it is safe to assume that the dwl will be larger than zero. Therefore, the correct answer to the question would be either a, b, or c, as it is impossible to determine the exact size of the dwl without additional information.
In conclusion, the size of the dwl if Acme is not regulated cannot be determined without additional information. However, it is safe to assume that it will be larger than zero and could potentially be one of the options provided in the question (a, b, or c).

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To determine the number of gallons required to recover 1 kWh of electricity, we need to consider the potential energy of the water. We can convert the mass to gallons by dividing it by the weight of one gallon of water: \(Number of gallons = Mass / 8.34 pounds\)

To determine the number of gallons required to recover 1 kWh of electricity, we need to consider the potential energy of the water. One gallon of water weighs approximately 8.34 pounds.

Given that the tank is raised 10 feet from the ground, the potential energy of the water is given by the formula:

\(Potential Energy = Mass x Gravity x Height\)

Since we want to recover 1 kWh of electricity, which is equivalent to 3600 kJ, and assuming a conversion efficiency of 100%, we can equate the potential energy to the electrical energy:

\(Potential Energy = Electrical Energy\\Mass x Gravity x Height = Electrical Energy\)

Assuming the acceleration due to gravity is approximately 9.8 m/s^2, we can convert the height to meters:

10 feet = 3.048 meters

Now we can calculate the mass of water needed using the equation:

\(Mass = Electrical Energy / (Gravity x Height)\\Mass = (3600 kJ) / (9.8 m/s^2 x 3.048 m)\)

Finally, we can convert the mass to gallons by dividing it by the weight of one gallon of water:
\(Number of gallons = Mass / 8.34 pounds\)

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Approximately 0.999 gallons of water would need to be pumped into the tank to recover 1 kWh of electricity at 100% conversion efficiency.

To calculate the number of gallons needed to generate 1 kWh of electricity with a conversion efficiency of 100%, we can use the principle of energy conservation.

First, we need to determine the potential energy of the water as it falls 10 feet. The potential energy can be calculated using the formula: potential energy = mass x acceleration due to gravity x height.

Since we know the height (10 feet) and acceleration due to gravity (32.2 ft/s^2), we need to find the mass of the water.

To do this, we can use the fact that 1 gallon of water weighs approximately 8.34 pounds. So, we convert the weight of the water into mass using the conversion factor 1 pound = 0.454 kg.

Once we have the mass, we can calculate the potential energy. Since 1 kWh is equal to 3600 kJ, we can equate the potential energy to 3600 kJ.

Finally, to find the number of gallons needed, we can divide the mass of water by the density of water (1 kg/L) to convert it into liters, and then divide by the conversion factor of 3.78541 to convert it into gallons.

Therefore, the number of gallons needed to generate 1 kWh of electricity is calculated as follows:

1. Convert weight of water into mass: 8.34 lbs x 0.454 kg/lb = 3.782 kg
2. Calculate potential energy: potential energy = mass x acceleration due to gravity x height = 3.782 kg x 9.8 m/s^2 x 3.048 m = 113.3 J
3. Convert potential energy into kJ: 113.3 J = 0.1133 kJ
4. Divide potential energy by 3600 kJ: 0.1133 kJ / 3600 kJ = 3.14 x 10^-5
5. Convert mass of water into liters: 3.782 kg / 1 kg/L = 3.782 L
6. Convert liters into gallons: 3.782 L / 3.78541 = 0.999 gallons

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The solution to the given exponential equation is; x = 6.48

We want to solve the exponential equation;

4^(x) = 7 - (3^x)

We can use logarithm or inverse of logarithm to solve this but in this case we will use the logarithm to get;

x log 4 = 7 - (x log 3)

x log 4 + x log 3 = 7

x(log 4 + log 3) = 7

1.08x = 7

x = 7/1.08

x = 6.48

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Using the normal approximation to the binomial, there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.

This problem is incomplete, but researching it on a search engine, it asks the probability that the sum of these Bernoulli variables is of less than 60.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The binomial distribution is a series of n Bernoulli trials with p probability of a success on each trial, hence the parameters for the binomial distribution are given as follows:

n = 100, p = 0.5.

The mean and the standard deviation are given by:

Using continuity correction, the probability that the sum is less than 60 is P(X < 59.5), which is the p-value of Z when X = 59.5, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (59.5 - 50)/5

Z = 1.9

Z = 1.9 has a p-value of 0.9713.

Hence there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.

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The curve of the given vector equation is shown below: It can be seen that the arrow points towards the positive x-axis, which is in the direction of increasing t.

To sketch curve of the given vector equation, r(t) = < t , 2 - t , 2t >, and indicate with an arrow the direction in which t increases, we need to follow some steps.

Step 1: Create a table for the vector. We need to create a table and fill in the values for t, x, y, and z. Let's do it below:

\(tt (time)xx (position)x(t)x(t)(2−t)(2−t)2t2t\)

Step 2: Plotting the points. We can plot the points by simply taking the x, y and z values from the table created above. The curve will pass through these points. The curve will be three-dimensional.

Step 3: Indicate the direction of t. To indicate the direction of t, we use an arrow on the curve. The arrow is drawn such that it starts from the initial point and points in the direction in which the parameter (in this case, t) increases. In this problem, since t increases in a positive direction, we take the arrow pointing towards the positive x-axis.

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Answer:

(0, 50)

Step-by-step explanation:

The equation of a line is in the form of the y-intercept form

\(y = mx + b\)

where m is the slope and B is the y intercept. So in our case

\(y = 50 + 5x\)

if we use the commutative property we can rewrite our equation as

\(y = 5x + 50\)

therefore b = 50 is our why intercept

Burger Quick, because it has a larger median.

Burger Quick typically has more wait time because it has a larger range (30-2=28) compared to Super Fast Food (27-3=24) and also has a larger interquartile range (IQR) (24-9.5=14.5) compared to Super Fast Food (15.5-8.5=7), indicating more variability in the wait times. The fact that Burger Quick's median (15.5) is larger than Super Fast Food's median (12) reinforces this conclusion.

Therefore, the correct answer is: Burger Quick, because it has a larger median.

Answer 2: The appropriate measure of center for this data is the median, which is represented by the line in the box at 19. This is because the data is skewed, with a longer tail to the right, and the median is less sensitive to extreme values compared to the mean. Therefore, the correct answer is: The median is the best measure of center, and it equals 19.

Answer 3: The measure of variability that the charity should use to accurately represent the data is the IQR (Interquartile Range), which is the range of the middle 50% of the data. The reason for this is that the data is skewed to the right, with many values concentrated in the upper range of the data, and the IQR is less sensitive to outliers compared to the range.

The IQR for this data is 20-10=10, which represents the spread of the middle 50% of the data. Therefore, the correct answer is: The IQR of 20 is the most accurate to use, since the data is skewed.

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The probability of drawing a blue marble (no replacement) followed by a green marble is 2/207

Total marbles: 2 + 9 + 18 + 10 + 7 = 46

In the first scenario, the likelihood of getting a red marble is 2/46=1/23.

Since there are now 45 marbles, the probability of drawing a purple marble in the second scenario is 10/45, or 2/9.

Therefore, the likelihood of taking out a red marble in the first scenario, failing to replace it, and taking out a purple marble in the second scenario is 1/23 * 2/9.

Therefore, the likelihood of removing a red marble in the first scenario, choosing not to replace it and removing a purple marble in the second scenario

=2/46 x 10/45

=1/23 x 2/9

=2/207

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The statement that knowing the value of x tells you nothing about the value of y can be explained by several scenarios. One possible scenario is when the values of x and y are not related in any way. In other words, there is no mathematical or logical connection between them.

Another scenario where knowing the value of x tells you nothing about the value of y is when there are multiple possible values of y for a given value of x. This occurs when the relationship between x and y is not one-to-one. For instance, if x represents a person's age and y represents their height, knowing someone's age does not determine their height since there are different heights for different ages.

Furthermore, it is possible that there is a relationship between x and y, but the value of y is affected by other factors besides x. For example, if x represents the amount of time a student spends studying and y represents their grade on a test, knowing the value of x does not completely predict the value of y because other factors like natural ability and test-taking skills may also play a role in determining the grade.

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The expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

let

x = first pillow

y = second pillow

fabrics needed for first pillow = 3 yards

fabrics needed for second pillow = 1 yards

z = Total square yards needed

The equation:

3x + y = z

Therefore, the expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

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Answer:The expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

let

x = first pillow

y = second pillow

fabrics needed for first pillow = 3 yards

fabrics needed for second pillow = 1 yards

z = Total square yards needed

The equation:

3x + y = z

Therefore, the expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

Step-by-step explanation:

Answer:False

Step-by-step explanation:

The commenter before me is trolling. If 3=5, that is a false equation, not true.

There is a photo Below as an attachment or probably shown.

Answer:

Reflect back on a time when you did something you later were at least somewhat uncomfortable with. Maybe it was something you said or did, but upon reflection you knew it wasn't the right thing to do. If you can't think of a real situation, you can create a hypothetical one.

\(\pink{ \rule{2pt}{99999pt}}\)