Write an expression to represent this situation: "On Tuesday at lunchtime, it was. By sunset, the temperature had dropped to."

The height of the steeple is 12.66 feet.

To find the height of the steeple, we will use the concept of angle of elevation. Angle of elevation is the angle between the horizontal line and the line of sight when we look up at an object.

Let's denote the height of the church as h1 and the height of the steeple as h2. Then, the total height of the church and the steeple is h1 + h2.

Using the concept of angle of elevation, we can write the following equations:

tan(35°) = h1/50 tan(47°40') = (h1 + h2)/50

Solving the first equation for h1, we get:

h1 = 50 * tan(35°) = 35.08 feet

Substituting the value of h1 into the second equation and solving for h2, we get:

50 * tan(47°40') = 35.08 + h2

h2 = 50 * tan(47°40') - 35.08

= 47.74 - 35.08 = 12.66 feet

Therefore, the height of the steeple is 12.66 feet.

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Answer:

n=3 (there's no way I can explain this I can only give you the answer)

Step-by-step explanation:

Answer:

(-3.1)^8

Step-by-step explanation:

(-3.1)^4•(-3.1)^4

Because they have the same base is -3.1, we can add the ^4 with ^4 and get

(-3.1)^8

So, the answer is (-3.1)^8

Answer:

caben 2 yo pienso. es que no se muy bien

For the given equation which shows the relation of temperature in Celsius and Fahrenheit, the correct option is Option D.

What is meant by temperature?

Indicating the direction in which heat energy will naturally flow from a hotter body (one with a higher temperature) to a colder body(one at a lower temperature), the temperature is a measure of hotness or coldness defined in terms of any of several arbitrary scales.

The given equation is:

\(C = \frac{5}{9} (F- 32)\)

where C = temperature in Celsius

          F = temperature in Fahrenheit

The above equation can be rewritten as:

C = 5/9F - 160/9

Now, this is an equation of a straight line with a formula,

y = mx + c

Comparing,

m = 5/9 which is the slope of the equation.

This means that for a temperature increase of 1 degree Fahrenheit, the equivalent increase in temperature in Celsius is 5/9.

So the option I is true.

Similarly, an increase in 1 degree Celsius of temperature is equivalent to 9/5 = 1.8 degree increase in Fahrenheit.

So option II is true.

Option III is not true as is discussed above.

Therefore for the given equation of temperature, the correct option is Option D.

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Answer:

D

Step-by-step explanation:

I have nothing else to say- lol

A relation that assigns to each element x from a set of inputs, or domain, exactly one element y in a set of outputs, or range, is called a  function.

This is further explained below.

Generally, A mathematical function from set X to set Y gives each element of X a unique value in Y. The set X is known as the function's domain and the set Y is its codomain. The original function was a simplification of the relationship between two variables.

In conclusion, A relation is said to be a function if it assigns precisely one element y from a set of outputs to each and every one of the domain's inputs.

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Answer:

-2.5

Step-by-step explanation:

You do distributive property first and get 12-8p= -12p + 2. You add 12 to -8p an -12p and get 12+4p= 2. Subtract 12 from 2 and get -10. Divide -10 by 4 and get -2.5.

Answer:

-2.5

Step-by-step explanation:

Answer:

182x + 16

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

2(x - 4) + 4(45x + 6)

Step 2: Simplify

Answer:

Step-by-step explanation:

here you go mate

step 1

2(x-4)+4(45x+6)   equation

step2

2(x-4)+4(45x+6)  distribute

(2)(x)+(2)(-4)+(4)(45x)+(4)(6)

2x+(-8)+180x+24

step 3

2x+-8+180x+24  combine the like terms

(2x+180x)+(-8+24)

182x+16

Answer:

\(\frac{11}{2}\)

Step-by-step explanation:

To obtain the inverse of f(x)

let y = f(x) and rearrange making x the subject, that is

y = 2x - 1 ( add 1 to both sides )

y + 1 = 2x ( divide both sides by 2 )

\(\frac{y+1}{2}\) = x

Change y back into terms of x with x = \(f^{-1}\)(x) , thus

\(f^{-1}\)(x) = \(\frac{x+1}{2}\)

Evaluate g(3) and substitute the value obtained into \(f^{-1}\)(x)

g(3) = 3² + 1 = 9 + 1 = 10, then

\(f^{-1}\) (10) = \(\frac{10+1}{2}\) = \(\frac{11}{2}\)

We determined the points of intersection, identified which function is on top in different intervals, and integrated the absolute difference between the functions over the interval [-3, 5].

To find the area of the region enclosed by the graphs of f(x) = x^2 - x - 5 and f(x) = x + 10, we need to determine the points of intersection between the two functions and integrate the absolute difference between them.

First, let's find the points of intersection by setting the two equations equal to each other:

x^2 - x - 5 = x + 10

Rearranging the equation, we get:

x^2 - 2x - 15 = 0

Factoring the quadratic equation, we have:

(x - 5)(x + 3) = 0

So the two points of intersection are x = 5 and x = -3.

Next, we need to determine which function is on top in the region

between these two intersection points.

For x < -3, the function f(x) = x + 10 is on top.

For -3 < x < 5, the function f(x) = x^2 - x - 5 is on top.

For x > 5, the function f(x) = x + 10 is on top.

To find the area, we integrate the absolute difference between the two functions over the interval [-3, 5].

∫[from -3 to 5] |(x^2 - x - 5) - (x + 10)| dx

Simplifying, we have:

∫[from -3 to 5] |x^2 - 2x - 15| dx

Now, we split the integral into two parts based on the intervals where the absolute value changes its sign.

∫[from -3 to 5] (x^2 - 2x - 15) dx + ∫[from -3 to 5] -(x^2 - 2x - 15) dx

Integrating each part separately, we obtain:

[(1/3)x^3 - x^2 - 15x] from -3 to 5 - [(1/3)x^3 - x^2 - 15x] from -3 to 5

Simplifying further, we get:

[(1/3)(5)^3 - (5)^2 - 15(5)] - [(1/3)(-3)^3 - (-3)^2 - 15(-3)]

Calculating the values, we find:

[125/3 - 25 - 75] - [-27/3 - 9 + 45/3]

The final result is the absolute value of the difference of these two values.

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Plotting method is the graphical representation of mathematical expression.

A plot is a graphical representation of a list of data. Besides, a plot is the graphical analysis of mathematical expressions and equations because plot can show the relationship between two or more variables. There are many plotting methods such as hand plotting method, computer aided plotting method and so on.

At first, we need to choose the coordinate system by which we plot the point.

suppose we choose a XY coordinate plane. At first identify the horizontal or X axis and vertical or Y axis.

besides, we need to determine the required value that will be plotted on the plan.

if we have a list of X and Y value then find the value of X on the x axis and next find the value of Y on the Y axis.

we will notice some points for every pair of x and y value. Finally, we will join the points to achieve a required shaped graph.

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Answer: Bones break because so much force is applied onto them at a singular moment, more than can be handled. Most commonly from falls where you hit your bone in a specific spot.

Bones can break, also known as a fracture, due to a variety of reasons. Here are some common causes:

Trauma: A sudden force or impact, such as a fall, can cause a bone to break.

Overuse: Repeated stress on a bone over time can cause a stress fracture, which is a small crack in the bone.

Medical Conditions: Certain medical conditions, such as osteoporosis, cancer, or infections, can weaken bones and make them more susceptible to fractures.

Vitamin and Mineral Deficiencies: Insufficient levels of calcium, vitamin D, and other minerals necessary for strong bones can increase the risk of fractures.

The severity of a fracture can vary depending on the force of impact and the strength of the bone. Some fractures may only cause minor pain and swelling, while others may require surgery and a prolonged healing process.

It is important to seek medical attention if you suspect a fracture as prompt diagnosis and treatment can help prevent complications and promote healing. Treatment options for a fracture may include immobilization, casting, surgery, or physical therapy, depending on the severity and location of the break.

Given that MNPQ is a rectangle with verticles M(3, 4), N(1, -6), and P(6, -7), to find the coordinates of point Q, we can use the fact that opposite sides of a rectangle are parallel and have equal lengths.

First, let's find the vector MN and MP:

MN = N - M = (1 - 3, -6 - 4) = (-2, -10)
MP = P - M = (6 - 3, -7 - 4) = (3, -11)

Now, let's add the vector MN to point P:

Q = P + MN = (6 + (-2), -7 + (-10)) = (4, -17)

Therefore, the coordinates of point Q that make MNPQ a rectangle are Q(4, -17).


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True. A basis of R4 consists of linearly independent vectors that span the entire space R4. Since R4 is a 4-dimensional space, any basis of R4 will contain 4 vectors.

In the vector space R4, the basis is a set of vectors that span the entire space and are linearly independent. Since R4 is a 4-dimensional space, any basis of R4 must contain exactly 4 vectors. This is because 4 linearly independent vectors are required to span all possible combinations of the 4 dimensions in R4.

Therefore, any basis of R4 will consist of 4 elements.

In mathematics, a basis is a set of linearly independent vectors that can be used to represent any vector in a given vector space. The vector space R^4, also known as R4, represents a four-dimensional space. To form a basis for R4, we need a set of vectors that are linearly independent and can span the entire four-dimensional space.

Since R4 is a four-dimensional space, any basis of R4 will contain exactly four vectors. This is because the dimension of a vector space is defined as the maximum number of linearly independent vectors it contains. In the case of R4, the dimension is four, so we need four linearly independent vectors to form a basis that spans the entire space.

By having a basis of four linearly independent vectors, any vector in R4 can be represented as a unique linear combination of those basis vectors. These basis vectors serve as a coordinate system that allows us to describe any point in R4.

It's worth noting that there are infinitely many possible choices for a basis in R4 since there are infinitely many sets of four linearly independent vectors that can span the space.

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a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

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The graph of the function f(x) = -√x is a reflection of the graph of f(x) = √x across the x-axis. It is a decreasing function with domain x ≥ 0 and range y ≤ 0. The graph starts at the point (0,0) and approaches the x-axis as x increases. It is also symmetric with respect to the y-axis.

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The explicit formula for f^-1 is (x-3)^(1/4) and this is obtained by switching the roles of x and y and solving for y in terms of x.

To find the inverse function of f(x)=x^4+3, we need to switch the roles of x and y, and solve for y.
Let y = x^4+3
Subtract 3 from both sides to get:
y - 3 = x^4
Take the fourth root of both sides to isolate x:
(x^4)^(1/4) = (y-3)^(1/4)
Simplify:
x = (y-3)^(1/4)
So the inverse function of f(x) is:
f^-1 (x) = (x-3)^(1/4)
This is the explicit formula for the inverse function of f(x).
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No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.

To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.

The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).

The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).

To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:

(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4

Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.

The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.

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Answer:

1 mile

Step-by-step explanation:

Jamal's Distance = 3 miles

Since Brendan lives 2 miles closer than Jamal, you do 3 - 2 = 1

Since Jamal lives 1 mile closer than Aisha, you do 3 - 1 = 2

Then, you do 2 - 1

Answer: 1

Answer:

Step-by-step explanation:

i think i got it wrong so i just deleted what i wrote

no one needs to see that

haha

...

i swear im not that dense sir please

Answer: its 18

Step-by-step explanation: because a rational number is a integer fraction or terminating or repeating decimal.

4: you would divide the popcorn between them. Each student would get 1.25 bags of popcorn.

5. The fraction 10/60 does not represent this situation because it would need to be 60/10. You are dividing 60 by 10, not 10 by 60.

6.

Step-by-step explanation:

To determine if a function crosses the horizontal asymptote, analyse the behavior of the function as it approaches the asymptote and on either side of it.

1. Identify the horizontal asymptote of the function. The horizontal asymptote is a horizontal line that the function approaches as the independent variable (usually denoted as x) goes to positive or negative infinity. It is often denoted by a horizontal line y = a, where "a" is a constant.

2. Examine the behavior of the function as x approaches positive infinity. Evaluate the limit of the function as x goes to positive infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. However, if the limit does not equal the asymptote, move to the next step.

3. Examine the behavior of the function as x approaches negative infinity. Evaluate the limit of the function as x goes to negative infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. If the limit does not equal the asymptote, proceed to the next step.

4. Investigate the behavior of the function around critical points or points where the function changes its behavior. These points may include the x-intercepts or vertical asymptotes. Determine if the function crosses the asymptote around these points by analyzing the behavior of the function in their vicinity.

If, at any point in this process, the function crosses the horizontal asymptote, then it does not have a true horizontal asymptote. However, if the function approaches the asymptote and does not cross it at any point, then it has a horizontal asymptote.

It's important to note that some functions may have multiple horizontal asymptotes or no horizontal asymptote at all. The steps outlined above are a general guideline, but the specific behavior of the function needs to be analyzed to make a conclusive determination.

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Answer:

(-1,-6)

Step-by-step explanation:

Answer:

(-1, -6)

Step-by-step explanation:

Hideki should use coupon 2 to get a better deal.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Hideki buys 2 sweaters for $18 each.

Coupon 1: Buy one, get one 40% off

Here, 40% of 18

= 40/100 ×18

= 0.4×18

= $7.2

So, cost of entire purchase 2(18)-7.2

= 36-7.2

= $28.8

Coupon 2: 25% off entire purchase

25% of 2(18)

= 25/100 ×36

= 0.25×36

= $9

Now, 36-9 =$27

Therefore, Hideki should use coupon 2 to get a better deal.

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Answer:

d. All of the above are true

Step-by-step explanation:

All of the following statements,

a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.

b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.

C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.

are true

The distribution of X^2Y is given by the integral ∫(from 0 to ∞) (e^(-y)/(2y)) dy, which needs to be evaluated to determine the distribution.

She distribution of X^2Y is given by the integral ∫(from 0 to ∞) (e^(-y)/(2y)) dy, which needs to be evaluated to determine the distribution.

To solve the integration ∫(from 0 to ∞) ∫(from 1 to ∞) e^(-x^2y) dx dy, we can use a change of variables. Let's introduce a new variable u = x^2y.

First, we find the limits of integration for u. When x = 1, u = y. As x approaches infinity, u approaches infinity as well. Therefore, the limits for u are from y to infinity.

Next, we need to find the Jacobian of the transformation. Taking the partial derivatives, we have:

∂(u,x)/∂(y,x) = ∂(x^2y,x)/∂(y,x) = 2xy.

Now, let's rewrite the integral in terms of the new variables:

∫(from 0 to ∞) ∫(from 1 to ∞) e^(-x^2y) dx dy = ∫(from 0 to ∞) ∫(from y to ∞) e^(-u) (1/(2xy)) du dy.

Now, we can integrate with respect to u:

∫(from 0 to ∞) (-e^(-u)/(2xy)) ∣ (from y to ∞) dy = ∫(from 0 to ∞) (e^(-y)/(2y)) dy.

This integral is a known result, and by evaluating it, we obtain the distribution of X^2Y.

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Answer:

8

Step-by-step explanation:

you add the numbers together and divide by how many you added

for this you divide by 4 because there are 4 numbers that u are adding

Answer:

Step-by-step explanation:

mean of 6 10 6 10

to get the mean of the given data,

just add all numbers then divide it by the number of units

mean = 6 + 10 + 6 + 10

                       4

          = 32 / 4

          = 8

Answer: y=35/3x

Step-by-step explanation:

got right on test

Answer:

Step-by-step explanation:

y=2/3x+4