What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2, 5)? y 5 = x 2 y − 2 = x − 5 y − 5 = −(x − 2) y 2 = −(x 5)

The solution to the system of equation are x=2, y=0, z=6

System of equations are equations that contains unknown variables.

Given the equations

3x+y+2z=8

8y+6z=36

12y+2z=12

From equation 2 and 3

8y+6z=36 * 1

12y+2z=12 * 3

______________

8y+6z=36

36y+6z= 36

Subtract

8y - 36y = 36 - 36

-28y =0

y = 0

Substitute y = 0 into equation 2

8(0)+6z=36

6z = 36

z = 6

From equation 1

3x+y+2z =8

3x + 0 + 2(6) = 8

3x = 8 - 12

3x = 6

x = 2

Hence the solution to the system of equation are x=2, y=0, z=6

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The following are the appropriate notations is P(EIF)=P(E n F) / P(F).

Conditional probability is known as the possibility of an event or outcome happening, based on the existence of a previous event or outcome.

As, from the property of conditional probability

P(EIF)=P(E n F) / P(F)

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Solve for x coordinate of solution

Check given value in options and approximate them

So x coordinate is -13/4

Option C is correct as no one contains -13/4 except C

Answer:

[tex]\sf C. \quad \left(-\dfrac{13}{4},\dfrac{5}{2}\right)[/tex]

Step-by-step explanation:

The solution to a system of graphed equations is the point of intersection.

From inspection of the graph:

As the x-coordinate is negative, this eliminates answer options A and B.

Assessing the x-coordinate of answer options C and D:

⇒ C.   -13/4 = -3.25

⇒ D.    -5/2 = -2.5

Therefore, as the x-coordinate of the point of intersection is between -4 and -3, the approximate solution of the system of equations is:

[tex]\sf C. \quad \left(-\dfrac{13}{4},\dfrac{5}{2}\right)[/tex]

Answer:

Step-by-step explanation:

Note: It seems the question is wrong when it states the relationship of distance. If d is the distance from the ground, at t = 0, we get d = 0 too which means with no time spent, Math Man hits the ground.

It assumed d = t²*0.25 is the distance from the top of the building.

We know the height of the building is 500 meters.

We need to find the value of t, when d = 500 m:

[tex] \: \huge \underline \mathbb{ \green{Answer}} \\ \\ \: \: \tt \boxed{\blue{d. \: \: an \: \: interval \: \: estimate}}[/tex]

The required vertex form of the given equation is a) [tex]4(x-6)^2 +10[/tex] is correct

the function  [tex]y=4x^2+24x+154[/tex] is given,

vertex form of a equation [tex]y=ax^2+bx+c[/tex] is given by [tex]y=a(x-h)^2+k[/tex].

since [tex]y=4x^2+24x+154[/tex]
Now h = - b/2a

   h = -N

Now at x = 0
  k = 10
vector form can be given by  [tex]4(x+6)^2 +10[/tex]

The question is incomplete. The question could be:

what is the correct vertex form of equation [tex]y=4x^2+24x+154[/tex]?
a)[tex]4(x+6)^2 +10[/tex]
b)[tex]4(x-6)^2 -26[/tex]
c)[tex]4(x-6)^2 -134[/tex]
d)[tex]4(x-6)^2 +154[/tex]

Thus, the vector form of the given function is [tex]4(x+6)^2 +10[/tex]

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Answer:

5

Step-by-step explanation:

5

The estimated regression equation is Price = bo +b1Age+ b2Mileage + b3Cylinders

We have:

The regression equation is estimated using:

Price = bo +b1 * Variable 1+ b2 * Variable 2 + b3 * Variable 3

Substitute the variable parameters

Price = bo +b1Age+ b2Mileage + b3Cylinders

Hence, the estimated regression equation is Price = bo +b1Age+ b2Mileage + b3Cylinders

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Answer:

29

Step-by-step explanation:

87×156+29=13601

First do 13601/87=156.3333...
156 × 87 = 13572
13601-13572=29
so, 87×156+29=13601

Answer:

Step-by-step explanation:

What least number must be subtracted from 13601 to get a number exactly divisible by 87?

13601 : 87 = 156 and remainder 29

so your answer is 29

---------------

check

(13601 - 29) : 87 =

13572 : 87 = 156

The y intercept means , the estimated amount of feed per day for the start of the farm , Option C is the right answer.

A function is a law that relates two variables , independent and dependent variable.

It is given that

On y axis , amount of feed used each day in thousands of pounds,

On x axis,  number of years since the farm began operating

The y intercept means x = 0 , which means at the starting of the farm , the feed needed per day.

Therefore Option C is the right answer , the estimated amount of feed per day for the start of the farm.

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Answer:

b = 0 and b = 4

Step-by-step explanation:

[tex]\frac{5}{3b^3-2b^2-5}[/tex] = [tex]\frac{2}{b^3-2}[/tex] ( cross- multiply )

2(3b³ - 2b² - 5) = 5(b³ - 2) ← distribute parenthesis on both sides

6b³ - 4b² - 10 = 5b³ - 10 ( subtract 5b³ from both sides )

b³ - 4b² - 10 = - 10 ( add 10 to both sides )

b³ - 4b² = 0 ← factor out b² from each term on the left side

b²(b - 4) = 0

equate each factor to zero and solve for b

b² = 0 ⇒ b = 0

b - 4 = 0 ⇒ b = 4

The matrix elements are nothing more than the matrix entries. The correct option is B.

The matrix elements are nothing more than the matrix entries. They can be integers, variables, mathematical formulas, or any other type of character included within the matrix.

The value of a₁₄ is the value of the element of the given matrix, where 1 represents the row and 4 represents the column. Therefore, the value of a₁₄ is the element of the first row and the fourth column, which means the value of a₁₄ is 5.

Hence, the correct option is B.

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Answer:

Question 1 : -2 3/4 × 3 1/5 . Change the fractions to improper fraction and multiply .

= -11/4 × 16/5

= -176/20

= -44/5

= -8 4/5

Question 2: -4.6/-2

= -4.6/-2

= 2.3

Question 3: - 7/8 ÷ (-2)(-4)

= 7/6(-4)

= -7/4

Question 4 : -4 27/30

= -147/30

= -4.9

Question 5 : -3 13/20

Answer:

2

Step-by-step explanation:

The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. In 2x^2 + 3x +1, our highest degree is 2.

Answer:

Julie's score is 15.

Step-by-step explanation:

This can be solved in two ways:

⇒ 120 ÷ 8

⇒ Experimentation on what × 8 = 120 (adding random numbers until you get 120 as a product).

Let's use the first method.

⇒ 120 ÷ 8

         1 5

   __________

8 |  1  2 0

   -     8

        ____

        4    0

       - 4  0

      ____

       0

Therefore, Julie's score is 15.

The probability that the number on each roll is strictly less than the number on the previous roll is 7/72

The number of such results in which each number is not less than the previous number will be equal to the number of ways of choosing 4 numbers out of 6 with replacement; regardless of order!

Let us choose any such set of size 4, say {2, 1, 1, 3}. we can sort it to get the sequence {1,1,2,3}, which is one of our desired results. Thus, each sequence ordered in this way corresponds to one selection of size 4, with replacement and regardless of order.

The number of such selections will be equal to the number of solutions to the following equation:

x1 + x2 + x3 + x4 + x5 + x6 = 4

where:

x1: number 1 in selections

x2: number of 2s in selection

.

.

x6: number of 6s in selection

The number of unique solutions of such an equation = 9, choose 5 = 126

Number of possible outcomes = 6^4 = 1296

Probability of favorable results = 126/1296=7/72

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Answer:

3,958 kjksjjdkskdjdjd

The partial pressure of the Ne in the mixture is 0.29 atm if the as mixture has a total pressure of 0.56 atm and consists of He and Ne.

Dalton's law states that the total partial pressures of all the gases in a mixture of non-reacting gases at a constant temperature equal the pressure the mixture exerts.

We have:

A gas mixture has a total pressure of 0.56 atm and consists of He and Ne. If the partial pressure of the He in the mixture os 0.27 atm.

According to Dalton's law

Total pressure = partial pressure of He + Partial pressure of Ne

0.56 = 0.27 + P(Ne)

P(Ne) = 0.29 atm

Thus, the partial pressure of the Ne in the mixture is 0.29 atm if the as mixture has a total pressure of 0.56 atm and consists of He and Ne.

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Answer:

18 is answer

Step-by-step explanation:

Answer:

what is business function of beauty

The system of inequalities that represents the number of copies that Julissa can print to meet her goal is given by:

A system of equations is when two or more variables are related, and inequalities are built to find the values of each variable.

The variables are given as follows:

She needs to print no fewer than 8 copies, hence:

[tex]x + y \geq 8[/tex].

It takes 4 minutes to print a color copy and 2 minutes to print a grayscale copy. She has at most 25 minutes, hence:

[tex]4x + 2y \leq 25[/tex].

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The function y = |x| - 1 is a translation of 1 unit downwards of the parent absolute value function, and its graph is the first one shown in the images.

Here we want to graph:

y = |x| - 1

Notice that if we take the parent absolute value function:

y = |x|

And we translate it one unit downwards, we will get:

y = |x| - 1

Which is the function that we want to graph.

So to select the correct graph, we need to find the one that is the parent absolute value function translated one unit downwards. It is the one with the vertex at (-1, 0), which is the graph that appears on the first image.

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Answer:

16.6

Step-by-step explanation:

The probability that at least 40 jobs will be submitted in 15 minutes is 0.79162.

The number of jobs submitted per minute follows Poisson Distribution.

A Poisson Distribution over a variable X, having a mean λ, has a probability for a random variable x as  [tex]P(X= x) = e^{-\lambda} \frac{\lambda^{x} }{x!}[/tex] .

In the question, we have the random variable x = 40.

The mean λ = Average jobs per minute*time = 3*15 = 45.

We are to find the probability that at least 40 jobs will be submitted in 15 minutes, which is represented as P(X ≥ 40) = P(X > 39).

P(X > 39) = 1 - P(X ≤ 39) = 1 - poissoncdf(45,39)

As to find the probability of a Poisson Distribution P(X ≤ x), for a mean = λ, we use the calculator function poissoncdf(λ,x).

Therefore, P(X > 39) = 1 - 0.20838 = 0.79162.

Therefore, the probability that at least 40 jobs will be submitted in 15 minutes is 0.79162.

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The correct option is Option A:  x > 38° this statement about x value is true.

Given in triangle ΔNPO the angle ∠ PNM is the exterior b to the interior angle ∠ PNO of the triangle.

Given the angle ∠NPO= 38°

∠PON= 39°

As we know the exterior angle is the sum of the two farthest interior angles of the triangle.

Then we can write the angle ∠PNM as

So, ∠PNM = ∠NPO + ∠PON

⇒ x = 38° + 39° = 77° {Given that ∠ PNM = 38° and ∠ PON = 39°}

{Since the exterior angle of an interior angle is equal to the sum of the other two interior angles of a triangle}

As x=77°

which satisfies the relation x=77° >38°.

Therefore,The correct option is Option A:  x > 38° this statement about x value is true.

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Answer:

It's rounded to the whole, which is 6.

Step-by-step explanation: