What is the slope of the line that passes through the points (9,5) and (21,1)? Write your answer in simplest form.

Answer:

593.14 m

Step-by-step explanation:

Given that :

Length of rig visible above water surface (sea. Level) = 74.98m

Length of rig below surface of water (sea level) = 518.16 m

The total height of the rig:

The surface of water is usually regarded as a zero point ;

Hence. The total height of rig will be the sum of the height above sea level and the length below water surface

=(74.98 + 518.16) m

= 593.14 m

Answer:

61

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

Answer:

\(-0.36a^5x^6b^6\)

Step-by-step explanation:

Ok first multiply the first two monomials:

\(-0.6a^3x^6b^3\)

Then multiply THAT with the OTHER monomial:

\(-0.36a^5x^6b^6\)

This should be the answer. Let me know if it's wrong.

Answer:

m = -8/5

Step-by-step explanation:

First determine how much x changes as we go from the first point to the second:  -1 to +4.  This change (the 'run') is 5 units.

Then find the change in y:  -4 - (4) = -8.  This change (the 'rise') is -8.

Thus the slope m = rise / run is m = -8/5

The probability that no births will occur today is 0.1353 (approximately) found by using the Poisson distribution.

Given that the number of births in a local hospital follows a Poisson distribution and averages λ per day.

To find the probability that no births will occur today, we can use the formula of Poisson distribution.

Poisson distribution is given by

P(X = x) = e-λλx / x!,

where

P(X = x) is the probability of having x successes in a specific interval of time,

λ is the mean number of successes per unit time, e is the Euler’s number, which is approximately equal to 2.71828,

x is the number of successes we want to find, and

x! is the factorial of x (i.e. x! = x × (x - 1) × (x - 2) × ... × 3 × 2 × 1).

Here, the mean number of successes per day (λ) is

λ = 2

So, the probability that no births will occur today is

P(X = 0) = e-λλ0 / 0!

= e-2× 20 / 1

= e-2

= 0.1353 (approximately)

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The exact value of the expression 5/6 + 2/3 - 12/35 × 7/9 is 86/70, which can also be simplified to 43/35.

To find the exact value of the expression 5/6 + 2/3 - 12/35 × 7/9, we need to follow the order of operations (PEMDAS/BODMAS) and perform the calculations step by step.

First, let's simplify the multiplication:

12/35 × 7/9 = (12 × 7) / (35 × 9) = 84/315

Now, we can rewrite the expression as:

5/6 + 2/3 - 84/315

Next, we need to find a common denominator for the fractions. The least common multiple of 6, 3, and 315 is 630.

Now, let's convert the fractions to have a common denominator of 630:

(5/6) × (105/105) = 525/630

(2/3) × (210/210) = 420/630

84/315 × (2/2) = 168/630

Now, we can rewrite the expression with the common denominator:

525/630 + 420/630 - 168/630

Now, we can combine the numerators:

(525 + 420 - 168) / 630 = 777/630

To simplify the fraction further, we can divide both the numerator and denominator by their greatest common divisor (GCD). The GCD of 777 and 630 is 9.

Dividing both the numerator and denominator by 9, we get:

777/630 = (9 × 86)/(9 × 70) = 86/70.

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The first and third rectangular prisms have the same volume of 30 cubic units.

The second rectangular prism has a volume of 350 cubic units, and the fourth rectangular prism has a volume of 24 cubic units.

The volume of each of the rectangular prisms can be calculated as follows:

1.   length: 1; width: 10; height: 3

volume = 1 x 10 x 3 = 30

2.  length: 5; width: 10; height: 7

volume = 5 x 10 x 7 = 350

3.   length: 2; width: 5; height: 3

volume = 2 x 5 x 3 = 30

4.   length: 4; width: 2; height: 3

volume = 4 x 2 x 3 = 24

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The percentage of items that will weigh at least 11.7 ounces is 3.22%.

The weight of items produced by a machine is normally distributed with a mean (μ) of 8 ounces and a standard deviation (σ) of 2 ounces. We need to determine the percentage of items that will weigh at least 11.7 ounces using this information. The given information is as follows:

Mean (μ) = 8 ounces

Standard deviation (σ) = 2 ounces

Let X be the weight of the item produced by the machine.

Then the random variable X ~ N(8, 2²) = N(8, 4)

We need to find the percentage of items that will weigh at least 11.7 ounces. That isP(X ≥ 11.7)

We can calculate it as follows:

z = (11.7 - μ) / σ = (11.7 - 8) / 2 = 1.85

P(X ≥ 11.7) = P(Z ≥ 1.85)

We can look up this probability in the standard normal distribution table or use a calculator.

Using the standard normal distribution table, we can find that the probability of a Z-value being greater than or equal to 1.85 is approximately 0.0322.

Therefore, the percentage of items that will weigh at least 11.7 ounces is:

P(X ≥ 11.7) = P(Z ≥ 1.85) ≈ 0.0322 ≈ 3.22%

Therefore, the answer is 3.22%.

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The general solution will depend on the values of k, m, and the damping coefficient 8/m. To find the equation of motion for this system.

We can use Newton's second law:

F = ma

where F is the net force acting on the system, m is the mass of the object, and a is the acceleration.

The net force in this case is the sum of the external force and the force due to the spring:

F = f(t) - kx

where k is the spring constant and x is the displacement from equilibrium.

The damping force is given as 8 times the instantaneous velocity, which we can write as:

F_damp = -8v

where v is the velocity of the object.

Putting everything together, we get:

m(d^2x/dt^2) = f(t) - kx - 8v

Substituting in the given values, we have:

1(d^2x/dt^2) = 2 sin 4t - kx - 8(dx/dt)

To simplify this equation, we can use the fact that x is a displacement and therefore the second derivative of x with respect to time is the acceleration. So we can rewrite the equation as:

a = (2/g)sin(4t) - (k/m)x - 8v/m

where g = 32 ft/s^2 is the acceleration due to gravity.

To solve for x, we can use the fact that the velocity is the derivative of displacement with respect to time:

v = dx/dt

Taking the derivative of the equation for velocity, we get:

a = d^2x/dt^2 = dv/dt = d/dt(dx/dt) = d/dt(v) = d/dt(-8v/m - (k/m)x + 2/g sin(4t))

Simplifying this expression, we get:

a = -8/m(dv/dt) - k/m(dx/dt) + (8/g)cos(4t)

Substituting in the value of a from the previous equation, we have:

(2/g)sin(4t) - (k/m)x - 8v/m = -8/m(dv/dt) - k/m(dx/dt) + (8/g)cos(4t)

Rearranging and simplifying, we get:

d^2x/dt^2 + (k/m + 8/m)dx/dt + k/mx = (16/g)cos(4t) - (2/g)sin(4t)

This is a second-order differential equation that we can solve using standard techniques, such as the method of undetermined coefficients or Laplace transforms. The general solution will depend on the values of k, m, and the damping coefficient 8/m.

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Car total cost = 17850

The sales tax rate = 6.25%

Cost of car = 16800

Car total cost = Cost of car + Tax

Car total cost = 16800 + 1050

Car total cost = 17850

Answer:

C because you add 1 to both sides

The angle of elevation of the sun is 18°.

According to the question,

We have the following information:

A 130 foot tall building has a shadow that is 400 feet long (this is the correct question).

Now, let's take the angle of elevation of the sun to be x°.

Now, the height of the building will become perpendicular and the shadow will serve as the base for the angle of elevation.

We will use the trigonometric function tan.

Tan x = Perpendicular/base

Tan x = 130/400

Tan x = 0.325

Now, the value of x is 18°.

Hence, the angle of elevation of the sun is 18°.

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The total time to delete n elements from a table of size n is Θ(cn√n).

In order to analyze the total time to delete n elements from a table of size n, we need to consider the number of deletions required and the total time taken for resizing the table.

Let k be the number of deletions required to delete n elements from the table of size n. Since each deletion takes Θ(1) time, the total time for deletions will be Θ(k).

Now, let us consider the time taken for resizing the table. Whenever a table is resized, its size increases by a factor of 1000. So, the sizes of tables used in the deletions will be in the sequence n, n + 1000, n + 2000, ..., n + (k-1)1000. Let c be the constant factor of time taken for resizing the table. Then, the total time taken for resizing the table will be c(n + (n+1000) + (n+2000) + ... + (n+(k-1)1000)).

Using the formula for the sum of an arithmetic series, we get:

n + (n+1000) + (n+2000) + ... + (n+(k-1)1000) = k(n + (k-1)500)

Substituting this in the expression for the total time taken for resizing the table, we get:

c(n + (n+1000) + (n+2000) + ... + (n+(k-1)1000)) = ckn + c(k-1)500k

Adding the time for deletions and resizing, we get:

Total time = Θ(k) + ckn + c(k-1)500k

Now, we need to find the value of k that minimizes the total time. We can do this by taking the derivative of the total time with respect to k, setting it to zero, and solving for k. The value of k that minimizes the total time is given by:

k = √(cn/500)

Substituting this value of k in the expression for the total time, we get:

Total time = Θ(√n) + Θ(cn√n)

Therefore, the total time to delete n elements from a table of size n is Θ(cn√n).

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c = 4 times h

Linear equation: 1.5c + 2h = 360

Hello!

Your answer should be..

c=4h     ( as there are 4 hours )

1.5c+2h=360

c is 1.50 and h is 2.00 so you must add them to reach 360

Hope this helps! :)

To find the volume of the figure.

volume of the figure=volume of the cone+volume of the rectangle prism.

volume of the figure=72+81=153 inch cube.

Answer:

Total=4 +3=7

For the 4

4÷7×70=£40

For the 3

3÷7×70=£30

So the division of £70 in ratio 4:3 is £40:£30

Answer:

Step-by-step explanation:

Starting elevation of B = +200 feet

Change in elevation for B = 75 feet down

Final elevation of B = +200 - 75 = +125 feet

The addition equation for B can be written as:

Starting elevation + Change = Final elevation

+200 - 75 = +125

The number line diagram for B is as follows:

+------------------------+------------------------+------------------------+

A B C D

+200 +125 +225

<----- 75 ft ----->

(change in elevation)

Answer:

1 hour 45 minutes

Step-by-step explanation:

The question is not specified but probably needs the time Quinn spent exercising. That time is 3 hours and she arrived home at 1pm.

First find the time Quinn spent during the first stage of the exercise. She ran for 3 miles at 6 miles per hour so the time taken was:

Time = Distance / speed

= 3 / 6

= 0.5 hours

She then rested for 1 hour bringing the total to:

= 0.5 + 1

= 1.5 hours

She then walked home at 2 miles per hour. Remember that her home is 3 miles away so the time she took in the last stage is:

= Distance / time

= 3 miles / 2 miles per hour

= 1.5 hours

The total time she took including this last stage is:

= 1.5 + 1.5

= 3 hours

She would have arrived back home at:

= 10 am + 3 hours

= 1 pm

In conclusion, she took 3 hours and arrived at 1 pm for this run.

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Answer:

An inequality is a relation which makes a non equal comparison between two of more numbers or other mathematic equations. > I'd greater than < is less than = equal to. ≥ is greater than or equal ≤ less than or equal to. = equal to ≠ not equal

Step-by-step explanation:

Inequality- is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

The set representing the equivalence relation r can be written as:

r = {(a, a), (a, b), (a, c), (b, a), (b, b), (b, c), (c, a), (c, b), (c, c), (e, e)}

Based on the given information, an equivalence relation r on the set A = {a, b, c, d, e} with two equivalence classes. Know that ard, brc, and erd.

To write out the equivalence relation r as a set, we can list all the ordered pairs that belong to the relation.

The equivalence relation r consists of all the ordered pairs (x, y) such that x and y are related (i.e., belong to the same equivalence class). Since we have two equivalence classes, let's denote them as [a] and [e].

The equivalence class [a] contains the elements a, b, and c, and the equivalence class [e] contains the element e.

Thus, the set representing the equivalence relation r can be written as:

r = {(a, a), (a, b), (a, c), (b, a), (b, b), (b, c), (c, a), (c, b), (c, c), (e, e)}

Each ordered pair represents a relation between two elements in the set A based on the given equivalence relation r.

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0.76282051282 in decimal form.

38141025641

___________

50000000000

Above it it in fraction from

Answer:

Step-by-step explanation:

lbs kiwi+lbs cherries 3+1.5 3+1.5 4.5 pounds4.5​ poundsTotal pounds, xx pounds of kiwi and yy pounds of cherries:lbs kiwi+lbs cherries lbs kiwi+lbs cherries x+yx+y​

4.5 pounds of fruit does she buy if she buys 3 pounds of kiwi and 1.5 pounds of cherries and the pounds of fruit does she buy if she buys x pounds of kiwi and y pounds of cherries will be x+y.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, Kiwi cost $2.25 per pound and cherries cost $4.25 per pound and she buys 3 pounds of kiwi and 1.5 pounds of cherries.

The pounds of fruit does she buy if she buys 3 pounds of kiwi and 1.5 pounds of cherries is,

=3+1.5

=4.5 pound

The pounds of fruit does she buy if she buys x pounds of kiwi and y pounds of cherries,

= x+y

Thus, 4.5 pounds of fruit does she buy if she buys 3 pounds of kiwi and 1.5 pounds of cherries and the pounds of fruit does she buy if she buys x pounds of kiwi and y pounds of cherries will be x+y.

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Answer:

I think that there is indefinite.

Step-by-step explanation:

The reason why is because x and y could be any number

Each function represents a different mapping of elements from the domain set to the range set.

To find all functions from the set (a, b, c) to the set (1, 2), we can use the concept of Cartesian product. Since there are 3 elements in the domain set (a, b, c) and 2 elements in the range set (1, 2), we have a total of 2^3 = 8 possible functions. Each function will map each element from the domain set to an element in the range set.
Here are the 8 functions:
1. (a -> 1, b -> 1, c -> 1)
2. (a -> 1, b -> 1, c -> 2)
3. (a -> 1, b -> 2, c -> 1)
4. (a -> 1, b -> 2, c -> 2)
5. (a -> 2, b -> 1, c -> 1)
6. (a -> 2, b -> 1, c -> 2)
7. (a -> 2, b -> 2, c -> 1)
8. (a -> 2, b -> 2, c -> 2)
Each function represents a different mapping of elements from the domain set to the range set.

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The expression 32 - x can be used to represent the base of the triangle in yards, where x is the length of the side opposite to the base.

The shaded triangle in the picture can be represented using the expression 32 - x to represent the base of the triangle in yards. This expression can be represented using a formula, which is B = 32 - x, where B is the base of the triangle in yards and x is the length of the side opposite to the base. For example, if the length of the side opposite to the base is 5 yards, then the base of the triangle would be 32 - 5 = 27 yards. Therefore, the expression 32 - x represents the base of the triangle in yards, where x is the length of the side opposite to the base.

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Complete quetion:

How can you use the expression 32 - x to represent the base of the triangle in the picture in yards?