10.) Given BC = DA, DC < BA
Prove m m

The required line representing the equation part of the constraint is go through (0, 4) and (7,0).

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

The line representing the equation 7x1 + 4x2 = 28 is a boundary line that separates the feasible solutions from the infeasible solutions in a linear programming problem.

The line passes through two points, which can be determined by substituting the x1 and x2 values into the equation. By substituting the values (4,0) and (7,0) into the equation, we can see that both points satisfy the constraint.

This means that any point on the line also satisfies the constraint, and any point above or to the right of the line would be infeasible as they would not meet the requirement of the constraint.

Understanding the position and shape of the constraint lines is important in solving linear programming problems and finding the optimal solution.

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The number of people arriving for treatment at an emergency room can be modeled by a poisson process with a mean of 5 people per hour.The expected number of people arriving in a 30-minute period is 5 × (30/60) = 2.50, the correct option is (e) 2.50.

The Poisson process is a type of probability distribution that can be used to model the number of events that happen in a given time period. In this case, the mean number of people arriving for treatment in an emergency room is 5 per hour. To calculate the expected number of people arriving during a 30-minute period, we can use the formula:

mean × (time/60).
To better understand this, let's break down the formula. The mean (5) is the average number of people arriving per hour, and the time (30 minutes) is divided by 60 to convert the time into hours. This gives us the expected number of people arriving in the given time period.

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Answer:

-5

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

     =(-12 -8)/(3 - -1)

    =(-12-8)/(3+1)

   = -20/4

   = -5

Answer:

Explanation:

Given:

5/8 = 0.625

2/3 = 0.667

60% = 0.6

0.59

0.70

Now, we sort the numbers from least to greatest.

0.59, 60%, 5/8, 2/3, 0.70

Therefore, the answer is:

0.59, 60%, 5/8, 2/3, 0.70

Answer:

1.) x = 150

2.) x = 8.5

Step-by-step explanation:

1.)

\(\frac{x}{5}+10=40\\\\\frac{x}{5}=30\\\\x=150\)

2.)

\(4x-36=-2\\\\4x=34\\\\x=8.5\)

Answer:

1. x = 150

2. x = 8.5

Step-by-step explanation:

1. x/5 + 10 = 40

Get x by itself and then solve for x.

First, subtract 10 from both sides

x/5 + 10 - 10 = 40 - 10

x/5 = 30

Then, multiply by 5 to get x by itself.

x/5 = 30

x/5 * 5 = 30 * 5

x = 150

2. 4x - 36 = -2

Get x by itself and then solve for x.

First, add 36 to both sides

4x - 36 + 36 = -2 + 36

4x = 34

Then, Divide each side by 4

4x/4 = 34/4

x = 8.5

Answer:

B an C is the answer

Step-by-step explanation:

I HOPE THIS HELPS!

I TOOK THE QUIZ ON Edge

Answer:

B) & C).

Step-by-step explanation:

Free points UuU.

Answer: [0,6]

Step-by-step explanation:

If x=3, y=0.

If x=12, y=6.

So, the range is [0,6].

The domain and range for the function for the maximum height of the rockets Kate fires is; h = 70·t - 16·t² are;

Domain; 0 ≤ t ≤ 4.375

Range; 0 ≤ h ≤ 39.06

A function is a rule that defines the relationship between input variables and output variables, such that the each value from the set of input variables are assigned to exactly on variable from the set of output variables.

The possible specified function in the question is; h = 70·t - 16·t², and the possible required details is the domain and range that best represent the situation.

The domain of the above function is the set of possible input (t) values, which is found by the time it takes the rocket to land after flight as follows;

At ground level, h = 0, therefore;

h = 70·t - 16·t² = 0

(70 - 16·t)·t = 0

A possible solution is therefore, t = 0

The other solution is found as follows;

(70 - 16·t) = 0

70 = 16·t

16·t = 70

t = 70/16 = 4.375

The other solution or time at which the rocket is at ground level is t = 4.375

The range is the set of possible h values, which is obtained as follows;

The maximum point of the quadratic function, f(x) = a·x² + b·x + c, is the point, x = -b/2·a. Therefore, comparison between the function, f(x) = a·x² + b·x + c, and h = 70·t - 16·t², we get;

a = -16

b = 70

c = 0

The maximum height reached, therefore is obtained at the point, at which; t = -70/(2 × (-16)) = 2.1875

The maximum height, \(h_{max}\), is therefore;

\(h_{max}\) = 70 × 2.1875 - 16 × 2.1875² =  76.5625

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a = y2 / (b^x2) ,To find the initial value of an exponential function, you can use the formula y = a * b^x, where y represents the final value, a represents the initial value, b represents the base, and x represents the exponent.

To solve for the initial value (a), you need to have at least two points on the exponential function. Let's say you have the point (x1, y1) and (x2, y2).

Step 1: Substitute the values of x1, y1, x2, and y2 into the formula y = a * b^x.

Step 2: Since the goal is to find the initial value (a), we can set up two equations using the given points.

For the first point (x1, y1):
y1 = a * b^x1

For the second point (x2, y2):
y2 = a * b^x2

Step 3: Divide the second equation by the first equation to eliminate the base (b):

y2/y1 = (a * b^x2) / (a * b^x1)

Step 4: Simplify the equation:

y2/y1 = b^(x2 - x1)

Step 5: Take the logarithm of both sides of the equation to isolate the exponent (x2 - x1):

log(y2/y1) = (x2 - x1) * log(b)

Step 6: Solve for (x2 - x1):

(x2 - x1) = log(y2/y1) / log(b)

Step 7: Substitute the value of (x2 - x1) into either of the original equations to solve for a:

a = y1 / (b^x1)

or

a = y2 / (b^x2)

Remember to use the same base (b) in all calculations. This will help you find the initial value (a) of the exponential function.
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Answer:

2 11/12 cups of flour

Step-by-step explanation:

well 2 recipes is 2 1/2 cups of flour

1/3 is 1/3 x 1 1/4= 1/3 + 1/12= 5/12

so 2 11/12 cups of flour

Answer:

\(C.112\)

Step-by-step explanation:

\(First,\\Lets\ list\ out\ all\ the\ primes\ between\ 50\ and\ 60:\\53,59\\Hence,\\By\ adding\ them\ we\ get:\\53+59\\=112\)

Answer:

80

Step-by-step explanation:

multiply 10 by 8

  (If it is not right... i apoligize but i don't see a shaded region)

Answer:

80 in

Step-by-step explanation:

To find the area of a rectangle, you have to multiply the length and height of the rectangle. When you do you will get 80 in

Hope this Helped

In this game, two robbers, R1 and R2, have just robbed a bank and find themselves in a hotel room with a suitcase containing 100 million dollars. Each robber wants to have the entire amount for themselves and is armed with a pistol.

However, their shooting skills are not great, with R1 having a 20% chance of killing their target if they shoot, and R2 having a 40% chance. The game proceeds as follows: first, R1 decides whether to shoot. If R1 shoots, R2 (if still alive) then decides whether to shoot. If R1 chooses not to shoot, R2 decides whether to shoot. If both survive, they split the money equally.

In the extensive form of the game, the initial decision node represents R1's choice to shoot or not. If R1 chooses to shoot, it leads to a chance node where R2's decision to shoot or not is determined. If R1 decides not to shoot, it directly leads to R2's decision node.

The outcome of each decision node is the respective robber's survival or death. At the final terminal nodes, the money is divided equally if both survive, or the surviving robber takes the entire amount if the other robber is killed.

The extensive form allows for a comprehensive representation of the sequential decision-making process and the potential outcomes at each stage of the game.

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Answer: the first term in the sequence is 9.

Step-by-step explanation:

Let the primary term be x.

At that point the moment term is 2x + 4.

And the third term is 2(2x + 4) + 4 = 4x + 12.

Since the third term is given as 48, we will set up an condition and unravel for x:

4x + 12 = 48

4x = 36

x = 9

Step-by-step explanation:

Dividing by a fraction is the same as multiplying by its reciprocal, so we can rewrite the expression as:

(-16/25)x^5*y^4*z^5 * (-15/8)(1/x^4)(1/y^3)(1/z^4)

Next, combine the values:

(240/200)(x^5/x^4)(y^4/y^3)(z^5/z^4)

When dividing variables with exponents, simply subtract the variable with the lower exponent from the one with the higher exponent (e.g. a^3/a^2 = a^(3-2) = a):

(6/5)xyz

(6xyz)/5 <— the simplified answer

Answer:

\(x\approx64.622\text{ inches}\)

Step-by-step explanation:

We can write a proportion that relate the model lengths to the actual length. The traditional format is:

\(\frac{\text{Model Length}}{\text{Scale Factor}}=\frac{\text{Original Length}}{\text{Scale Factor}}\)

Hence, we will substitute 1454 for the “Original Length.”

2in for the “Scale Factor” below the model.

And 45ft for the “Scale Factor” below the original.

Let the model length be x.

This yields:

\(\frac{x}{2}=\frac{1454}{45}\)

Solve for x. Cross-multiply:

\(2908=45x\)

Divide both sides by 45:

\(x\approx64.622\text{ inches}\)

Therefore, the height of the model is about 64.6 inches.

Step-by-step explanation:

solution

we know that,

tower hight = 1454 feet

here

2inch=45 feet

now,

1454 feet=(1454/45)inch

1454 feet =32.31 inch

so,tower is 32.31 inch tall according to model length

this may help you (:

Answer:

Almost...

The correct answer would be

To find the area of the base, multiply 15 times 16 then divide by 2

Then multiply by 19 to find the volume of the shape

Step-by-step explanation:

The base is a triangle

The area of a triangle = base length times height divided by 2

The triangle has a base length of 16 and a height of 15

So to find the area of the base we multiply 15 times 16 and divide that by 2

The volume of a prism is equal to the area of the base times the length of the prism

The length of the prism is 19 so we would then multiply by 19

Answer:

\(m=\frac{3}{5}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (8, 4)

Point (3, 1)

Step 2: Find slope m

Answer:

50+80*x

Step-by-step explanation:

Plant height increased after 1 week: 35 cm - 30 cm = 5cm

Percentage increase: (5 : 30) x 100% = 16.66%

The major difference between an independent samples design and a dependent samples design when determining the observed t-test or the confidence interval is:

C. The two standard errors are calculated differently.

In an independent samples design, where two separate groups are being compared, the standard errors for the means of each group are calculated separately. The standard error measures the variability of the sample means around the population means. In this case, since the groups are independent, the standard errors are calculated independently.

On the other hand, in a dependent samples design, also known as a paired or matched design, the groups are related or paired in some way (e.g., before and after measurements on the same individuals).

In this design, the standard errors are calculated differently because the observations within each pair or group are dependent on each other. The standard errors consider the covariance or correlation between the paired observations, reflecting the within-pair variability.

Therefore, (C) the calculation of standard errors differs between independent samples and dependent samples designs when determining the observed t-test or the confidence interval.

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Answer: 17856.81

Step-by-step explanation:

v= pir^2h

v=pi(14)^2(29)

v=17856.81

Answer:

10 hour rental

Step-by-step explanation:

Let x = number of hours

HD cost: 7x + 65

L cost: 4x + 95

Set the two cost expressions equal and solve for x, the number of hours.

7x + 65 = 4x = 95

3x = 30

x = 10

The costs are equal for a 10 hour rental.

Let X be exponential with a rate of lambda and let Y = [X] + 1. Substituting it, we get

P(Y = k) = e ^ (-λ(k-1))(1 - p). Therefore, P(Y = k) = (1 - p)pk-1.

We need to show that Y is geometric with a parameter of p = 1 - e ^ (-lambda).

To solve the problem, we have to show that P(Y = k) = (1 - p)pk-1 for all k ≥ 1.P(Y = k) = P([X] + 1 = k)

We know that [X] ≤ X < [X] + 1.

Substituting Y = [X] + 1,

we get [Y - 1] ≤ X < Y - 1. ⇒ Y - 1 ≤ X < Y

It follows that

P(Y = k) = P([X] + 1 = k)

= P(Y - 1 ≤ X < Y)

= P(X ≥ k - 1, X < k)

= P(X < k) - P(X < k - 1)P(X < k)

= 1 - e ^ (-λk)P(X < k - 1)

= 1 - e ^ (-λ(k-1))

Therefore, P(Y = k) = (1 - e ^ (-λk)) - (1 - e ^ (-λ(k-1)))

= e ^ (-λ(k-1))(1 - e ^ (-λ))

We know that p = 1 - e ^ (-λ).

Substituting it, we get P(Y = k) = e ^ (-λ(k-1))(1 - p)

Therefore, P(Y = k) = (1 - p)pk-1.

Hence proved.

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The sum of the numbers is  (2x + z) + (2y + 10)i. If the difference of two complex number is -10i and the product is 34.

Let the two complex numbers be x + yi and z + wi, where x, y, z and w are real numbers.

We are given that their product is 34, thus

(x + yi) (z + wi) = 34

z(x + yi) + wi(x + yi) = 34 + 0i_____(1)

We are also given that their difference is -10i, thus

(x + yi) - (z + wi) = -10i

(x - z) + (y - w)i = 0 - 10i_____(2)

Simplifying equation (2), we get

x - z = 0 and y - w = -10

We are asked to find the sum of the numbers, thus

(x + yi) + (z + wi) = 2x + 2yi___(3)

We can simplify equation (1) as follows:

34z + wi = 34x + 34yi - wi - yi

We can substitute equation (2) into the above equation:

34z + wi = 34x + 34yi + yi - 10i

We can further simplify the above equation as:

34z + wi = 34x + 35yi - 10i

We can then use the fact that x - z = 0 to express one variable in terms of the other.

Solving for w in equation (2), we get:

w = y + 10

Thus, we can substitute w = y + 10 into equation (3) and simplify as follows:

(x + yi) + (z + (y + 10)i)

= 2x + 2yi + z + 10i

= (2x + z) + (2y + 10)i

The sum of the numbers is thus (2x + z) + (2y + 10)i.

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To prove ΔABE is congruent to ΔEDA by SSS we need that EAC should be an equilateral triangle.

What is an equilateral triangle?

A triangle is said to be equilateral if each of its three sides is the same length. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.

Here, we have

AEC is a triangle in which B∈ AC and D∈ EC

Such that,

∠ABE = 90°,

∠ADE = 90°,

Also, BC = CD

Now, we have to prove that :

Δ ABE is congruent to Δ EDA

Proof :

If EAC is an equilateral triangle,

By the property of an equilateral triangle,

EA = AC = EC

If AC = EC

AB + BC = ED + CD

AB + CD = ED + CD

AB = ED

Also, AE = AE ( common segment )

Now, if in two right triangles hypotenuse are equal and any corresponding legs are equal,

Then, the other legs must be equal,

That is, BE = DA,

Hence, by the SSS postulate of congruence,

Δ ABE ≅ Δ EDA

Hence, to prove ΔABE is congruent to ΔEDA by SSS we need that EAC should be an equilateral triangle.

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Answer:

the area below the line is shaded

Step-by-step explanation:

Answer:

good

Step-by-step explanation:

thx for the points :)

Answer:

21

Step-by-step explanation: