Write the equation of the line that goes through (9,-4) and is perpendicular to the line
y = -3x – 8

To find the slope we need two points and the formula

where (x2,y2) is a right point from (x1,y1) so x2>x1

now replacing

the slope is 3/2

Answer:

3:8

Step-by-step explanation: :)

Answer:

3 eggs :  8 cups of flour

=3:8

mode is 4 and the median is also 4

mode is the number that appears the most which is 4 and median is the number that is in the middle when you line up all the numbers in order  (0,2,2,3,3,4,4,4,4,5,5,5,6,6,10)

Eli should not have written option D, (7+3).2, when applying the distributive property to the expression 2(7+3).

The distributive property states that when you multiply a number by a sum or difference inside parentheses, you need to multiply the number by each term inside the parentheses. In this case, Eli needs to multiply the number 2 by each term inside the parentheses (7 and 3). Let's analyze each option:

A. 2(10): Eli correctly applied the distributive property by multiplying 2 by 10, which is the result of adding 7 and 3.

B. 2(7) = 2(3): Eli correctly applied the distributive property by multiplying 2 by both 7 and 3 separately.

C. 2(3+7): Eli correctly applied the distributive property by multiplying 2 by the sum of 3 and 7.

D. (7+3).2: This expression does not apply the distributive property correctly. The parentheses indicate addition, not multiplication. Eli should have multiplied 2 by both 7 and 3, rather than adding them first.

Therefore, option D is the incorrect one, and Eli should not have written (7+3).2 when applying the distributive property to the given expression.

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Answer:

fort nite

Step-by-step explanation:

i dont know what brainiest means

Answer:

=d

Step-by-step explanation:

c=5 , 5-7= -2.............

brainliest pls

To calculate the number of railroad cars that can fit on the track, we first need to convert the length of the track into inches. Since there are 12 inches in a foot, 5 feet is equal to 60 inches. If there is any space between the cars, the number of cars that can fit on the track will be slightly less than 10.

It's important to note that this calculation assumes the railroad cars are placed end-to-end with no space in between.
Next, we divide the length of the track (60 inches) by the length of each railroad car (6 inches).
60 inches / 6 inches = 10 railroad cars. Therefore, the track can fit 10 railroad cars.

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Answer:

Step-by-step explanation:

1. find the slope (m)

m=y2-y1/x2-x1

m=6-3/-1-2

m=3/-3

m=-1

2. y-y1=m(x-x1)

y-3=-1(x-2)

y-3=-1x+2

y=-1x+2+3

y=-1x+5

-pi is the  phase shift of y = -cos ( 1/2 x + pi/2 )

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given function is y = -cos ( 1/2 x + pi/2 )

Standard form of the cosine function is y=acos(bx+c)+d

Phase shift is -c/b

b=1/2 and c is pi/2

Now phase shift=-(pi/2)/(1/2)

=-pi

Hence, -pi is the  phase shift of y = -cos ( 1/2 x + pi/2 )

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The most appropriate choice for exponent will be given by-

Mass of jupiter = 1.898 \(\times\) \(10^{27}\) kg

What are exponent?

Exponent tells us how many times a number is multiplied by itself.

For example : In \(2^4 = 2 \times 2 \times 2 \times 2\)

Here, 2 is multiplied by itself 4 times.

If \(a^m = a\times a \times a\times....\times a\) (m times), a is the base and m is the index.

The laws of index are

\(a^m \times a^n = a^{m+n}\\\\\frac{a^m}{a^n} = a^{m - n}\\\\a^0=1\\\\(a^m)^n = a^{mn}\\\\(\frac{a}{b})^m =\frac{a^m}{b^m}\\\\a^{-m} = \frac{1}{a^m}\)

Here,

Mass of jupiter = 1.898 \(\times\) \(10^{27}\) kg

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the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.

Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.

The ODEs for the transition probabilities can be written as follows:

dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)

dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)

dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)

dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)

dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)

dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)

where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.

Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.

To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.

The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:

total_rate = q₁₂ + q₁₃

Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:

P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate

In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.

Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

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Answer:

A is the correct answer 450 cm

Step-by-step explanation:

area of base = 1/2 (7.5+ 5) × 6 = 37.5

volume = area × height

= 37.5 × 12

= 450cm³

Answer:

The answer is "d" x= r-p / g

Step-by-step explanation:

First let's get rid of the "p" term on the left-side. After you've done that, you have to get rid of the g term. So you divide the x term by the g-term, you do this to both sides.

The probability that the sample proportion with rh-negative o blood types will be less than 12% is 0.93.

According to the question,

91 pts nine percent of Americans have rh-negative o blood type.

In a random sample of 200 Americans, what is the probability that the sample proportion with rh-negative o blood types will be less than 12% = ?

by Using central limit theorem,

P(p cap < p) = P(Z<p cap-p/√p(1-p)/n)

so,

P(p cap < 0.12) = P(Z<0.12-0.09/√(0.09×0.91/200)

= P(Z<1.4825)

= 0.9309 (from Z table)

= 0.93 (Rounded to second decimal place)

so, The probability that the sample proportion with rh-negative o blood types will be less than 12% is 0.93.

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Answer:

One solution only.

Step-by-step explanation:

2 ( 4x - 1 ) = -8x - 2

8x - 2 = -8x - 2

0 = 0

One solution only.

The length of the missing side in the right triangle is 6.5

We can see that it is a right triangle, thus, we can use the Pythagorean's theorem.

It says that the sum of the squares of the legs is equal to the square of the hypotenuse.

So if x is the missing side, we can write:

x² + 3.6² = 7.4²

Solving that for x we will get.

x = √(7.4² - 3.6²) = 6.5

That is the length of the missing side.

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Answer:

not a function

Step-by-step explanation:

if x values repeat its not a function

The statement "15.7 is less than 15.245 because 15.27 has fewer digits after the decimal point than 15.245" is false

The statement is given as

15.7 is less than 15.245 because 15.27 has fewer digits after the decimal point than 15.245

When comparing greater and lesser values, we do not make use of the number of digits in them

Instead, we compare the values

Though, 15.7 is less than 15.245 but the reason is that 15.27 has lesser value than 15.245

Hence, the statement "15.7 is less than 15.245 because 15.27 has fewer digits after the decimal point than 15.245" is false

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We expressed the ratio of female students to male students as a fraction, simplified it, and obtained a final ratio of approximately 3:4.

The problem states that there are 500 students at Rockland Middle School. If 43% of the students are female, we can calculate the number of female students by multiplying the total number of students by the percentage of female students:

43% of 500 = 0.43 x 500 = 215

Similarly, the number of male students can be calculated by multiplying the total number of students by the percentage of male students:

57% of 500 = 0.57 x 500 = 285

The ratio of female students to male students can then be expressed as the fraction of female students divided by the fraction of male students:

215/285 = 0.754:1

This ratio can also be simplified by dividing both numbers by their greatest common factor (GCF), which in this case is 5:

215/5 = 43

285/5 = 57

So the simplified ratio of female students to male students is 43:57 or approximately 3:4.

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Note that the resultant expression after simplifying simplify square root of 3y² if y<0 is: y√3

Note that we need to take a factor out of the square root:  √(3y²) , where y<0.

The given expression is  √(3y²)

Recall that to take out a factor out of the square root that factor must have a degree in multiple of 2 such as x², x⁴, (x-2)⁴, thus,

√(3y²)  = √3y²

⇒ √3 √y²

⇒  √3 (y²)\(^\frac{1}{2}\)

⇒ √3 (y)\(^\frac{2}{2}\)

= y √3

Thus, having simplified the expression √(3y²), the result is:  y √3.

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Answer:

y=30

x=3

Step-by-step explanation:

~may it help you~

The probability that the chip drawn from urn II is red is 4/15. Let's call the event that the chip drawn from urn I and transferred to urn II is red "R1", and the event that the chip drawn from urn II is red "R2".

The probability of event R1 is 2/6 = 1/3.

Given that event R1 has occurred, the number of red chips in urn II becomes 4, and the number of total chips becomes 4+1=5. The probability of event R2 is 4/5 = 4/5.

The probability of both events occurring is (1/3) * (4/5) = 4/15.

So, the probability that the chip drawn from urn II is red is 4/15.

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The decimal number with repeating digits can be written as:

0.344... = 31/90

Here we have the number:

0.3444....

Where the 4 keeps repeating.

First, we need to multiply this by 10, so we get:

10*0.344... = 3.444...

Now if we subtract the original number we get:

10*0.344... - 0.344... = 3.444... - 0.344...

9*(0.344...) = 3.1

Now, isolating the original number:

0.344... = 3.1/9

Finally, we multiply and divide the fraction by 10 so we get two whole numbers:

0.344... = (10/10)*(3.1/9) = 31/90

0.344... = 31/90

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The smallest number of coins you could have had before finding the bag of 53 coins is 371. which is more than 200.

There are seven bags, so there are 7x coins in total:

7x = T.

Since the number of coins in each bag must be an integer, (T + 53) must be a multiple of 8. We know that T = 7x, so we can write this as follows:

(7x + 53) ≡ 0

(mod 8)This means that 7x ≡ 3 (mod 8).

The solutions to this congruence are

x ≡ 3, 11 (mod 8).

Since x is a positive integer, we take

x = 11

(the other possibility, x = 3,

leads to a smaller value for T).

Therefore, T = 7x = 77, and the total number of coins after the bag of 53 coins is found is

T + 53 = 130.

After redistributing the coins into eight equal bags, each bag contains 16 coins.

Therefore, the number of coins you had initially was

7x = 77,

so the smallest number of coins you could have had before finding the bag of 53 coins is

77 - 53 = 24.

After redistributing the coins, you had

8 × 16 = 128 coins left,

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