solve for T
D = RT
PLZ HELP

if we choose a number, let's call it x, and we perform this operations we would get a fixed number, that we are yet to calculate.

But doing that way would be doing by deductive reasoning.

The inductive reasoning way would be to arrive at this conclusion after picking a random number, for example, twice.

If we pick, for example, the number 1.

Add 16, we get 17.

Multiply by 3, we get 51.

Add 2, we get 53.

Substract twice the original number, we get 51.

Substract 50, the result is 1.

If we pick the number 2,

Add 16, we get 18.

Multiply by 3, we get 54.

Add 2, we get 56.

Substract twice the original number, we get 52.

Substract 50, we get 2.

We can induce, by the results we are having, that the result is equal to the number we pick in the first place.

The value of p² + q², when p and q are the roots of the quadratic equation ax² + bx + c = 0, is given by the polynomial expression c²/b² - 2ac/b.

Given that the roots of the quadratic equation, ax² + bx + c = 0 are p and q.

Find the value of p² + q². Let's write the quadratic equation ax² + bx + c = 0 in terms of its roots p and q.First, we need to express the sum and product of the roots in terms of the coefficients of the quadratic equation.

Sum of the roots of the quadratic equation ax² + bx + c = 0 is given by:Sum of roots, S = p + q = -b/aProduct of roots, P = pq = c/aAlso, p² + q² = (p + q)² - 2pq.

Substituting the values of S and P in the above expression we get,p² + q² = (p + q)² - 2pq= (-b/a)² - 2(c/a)Therefore, the main answer is d) c²/b² - 2ac/b, which is a polynomial expression.

To solve the above problem, we know that the sum of the roots and the product of the roots is required to solve the problem.

We also know that p + q = -b/a and pq = c/a.Using these formulas, we can get a general expression for p² + q².  p² + q² = (p + q)² - 2pq= (-b/a)² - 2(c/a).

After simplification, we get the answer d) c²/b² - 2ac/b. Hence, the correct option is (d).

The value of p² + q², when p and q are the roots of the quadratic equation ax² + bx + c = 0, is given by the polynomial expression c²/b² - 2ac/b.

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Answer:

they are not equivalent

Step-by-step explanation:

12/27 reduces to 4/9 if you divide by 3

20/36 reduces to 5/9 if you divide by 4

4/9 ≠ 5/9

Step-by-step explanation:

Get your answer by reducing them:

12/27=4/9 ( in the table of 3)

20/36=5/9 ( in the table of 4)

hope it helps

Answer:

r = 3.75

Step-by-step explanation:

Using Pythagoras' identity in the right triangle ABC

AC² = BC² + AB²

(r + 6)² = r² + 9²

r² + 12r + 36 = r² + 81 ( subtract r² from both sides )

12r + 36 = 81 ( subtract 36 from both sides )

12r = 45 ( divide both sides by 12 )

r = 3.75

Answer:

m=0

Step-by-step explanation:

i think?

Answer:

Step-by-step explanation:

1. (2m - 8n + 6) + (4n - 3) =  2m - 4n +3

2. (4y2 - 3xy + x2) + (y2 + 3xy + 3x2) =  4 -  6xy + 4x2

3. (8x + 7) + (2x - 6) = 10x + 1

4. (n + 5) + (2n + 7) =  3n + 12 which can also be written as common factor;  3(n +4).

5. (2a + 8) + (a + 2) =  3a + 10

6. (4m + 3n - p) + (2p - 3n + 2m) =  6m + p

7. (5x2 - 3x + 6) + (x2 + 5x - 15) =  6x^2 + 2x - 9

8. (3d - 4e + 6) + (2d +5e + 1) =  d - e + 6

9. (5x - 3y) + (10y - 4z) + (2x - 3z) = 7x + 7y - 7z

10. (2a + 3) + (a - 9) = 3a - 6,  common factor 3 (a-2)



Step-by-step explanation:

12x7 + 2x7 = 84 + 14 = 98

sa=98

For the  image, its surface area  is mathematically given as

x= 98cm^2

The surface area of a three-dimensional object is the amount of space that covers the exterior of the object.

In conclusion, calculating the individual surfaces we have

x=12x7 + 2x7 = 84 + 14

x= 98cm^2

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There are 3,003 ways to select a committee of five from the 15 students in the student council.

To calculate the number of ways to select a committee of five from a group of 15 students, we can use the combination formula. The formula for combination, denoted as "n choose r," calculates the number of ways to choose r items from a set of n items without considering the order.

In this case, we want to choose a committee of five from a group of 15 students. Using the combination formula, we can calculate it as:

C(15, 5) = 15! / (5! * (15-5)!)

where "!" denotes factorial. Simplifying the expression:

C(15, 5) = 15! / (5! * 10!)

The factorial of a number is the product of all positive integers less than or equal to that number. In this case:

15! = 15 * 14 * 13 * 12 * 11 * 10!

Cancelling out the common terms:

C(15, 5) = (15 * 14 * 13 * 12 * 11) / (5 * 4 * 3 * 2 * 1)

Simplifying the expression further:

C(15, 5) = 3,003

Therefore, there are 3,003 ways to select a committee of five from the 15 students in the student council.

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Answer:  

t=2.59s

Explanation:

v=23.5m/s u=15.2m/s a=3.2m/s^2 t=? using equation v=u+at t=(v-u)/a t= (23.5-15.2)/3.2=8.3/3.2=2.59s

Here's a Scheme function that checks whether a matrix is symmetric or not:

```scheme

(define (is-symmetric-matrix matrix)

 (define (get-element matrix i j)

   (if (null? matrix)

       #f

       (if (= i 0)

           (if (null? (car matrix))

               #f

               (if (= j 0)

                   (car (car matrix))

                   (get-element (cdr matrix) i (- j 1))))

           (get-element (cdr matrix) (- i 1) j))))

 (define (is-matrix-symmetric-helper matrix i j)

   (if (null? matrix)

       #t

       (if (equal? (get-element matrix i j)

                   (get-element matrix j i))

           (is-matrix-symmetric-helper matrix i (+ j 1))

           #f)))

 (if (null? matrix)

     #t

     (is-matrix-symmetric-helper matrix 0 0)))

```

The function `is-symmetric-matrix` takes a matrix as an input, which is represented as a list of lists. It uses a helper function called `is-matrix-symmetric-helper` to compare each element of the matrix with its corresponding element in the transposed position. The `get-element` function is used to retrieve the element at position `(i, j)` in the matrix.

The `is-matrix-symmetric-helper` function recursively iterates over the matrix, comparing each element with its transposed element. If any pair of corresponding elements is found to be different, it immediately returns `#f` (False), indicating that the matrix is not symmetric. If it reaches the end of the matrix without finding any differences, it returns `#t` (True), indicating that the matrix is symmetric.

Finally, the main `is-symmetric-matrix` function first checks if the matrix is empty. If it is, it immediately returns `#t` since an empty matrix is considered symmetric. Otherwise, it calls the helper function with the initial indices `(0, 0)` and returns its result.

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The maximum magnitude of acceleration is approximately 4.085 m/s².

To find the period of the motion, we need to determine the time it takes for the peg to complete one full revolution around the circle. The period can be calculated using the formula:

T = 2πr/v

where T is the period, r is the radius of the circle, and v is the tangential speed of the peg.

Given:

r = 0.19 m

v = 0.88 m/s

Substituting these values into the formula, we have:

T = 2π(0.19 m)/(0.88 m/s)

T ≈ 0.432 s

Therefore, the period of the motion is approximately 0.432 seconds.

Part E: To find the amplitude, we can use the radius of the circle since the motion is along a circular path. The amplitude is equal to the radius of the circle:

Amplitude (A) = 0.19 m

Part F: The maximum displacement is equal to the diameter of the circle since the peg moves from one extreme point to the other:

Maximum Displacement = 2 * 0.19 m = 0.38 m

Part G: The maximum magnitude of acceleration occurs at the extreme points of the circular path. It can be calculated using the formula:

amax = v²/r

where amax is the maximum acceleration, v is the tangential speed, and r is the radius of the circle.

Substituting the given values, we have:

amax = (0.88 m/s)² / 0.19 m

amax ≈ 4.085 m/s²

Therefore, the maximum magnitude of acceleration is approximately 4.085 m/s².

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Answer:

x = 44°

Step-by-step explanation:

2x - 6 = 82

2x = 82 +6

2x = 88

divide through by 2

x = 44°

similar triangle

Answer: 75%

Step-by-step explanation:

common sense

The procedure of adding 10, dividing by 5, multiplying by 5, subtracting 10, and subtracting the original number leads to a final outcome of 0 for any input number.

The estimated sales tax for a new Nissan Rogue priced at $28,250 with a 10% sales tax is $2,825.

If the average price of a hotel room decreased by 70% from $135, the new price would be $40.50.

By following the given procedure for different numbers, we can observe that the final number is always 0. This indicates that regardless of the initial number chosen, the process cancels out and returns to zero. For example, if we start with the number 5, the steps would be: 5 + 10 = 15, 15 / 5 = 3, 3 * 5 = 15, 15 - 10 = 5, and finally, 5 - 5 = 0. This pattern holds for any chosen number, leading to the conjecture that the final number will always be 0.

Assuming the price of a new Nissan Rogue is $28,250 and the sales tax is 10%, we can estimate the sales tax by calculating 10% of the given price. 10% of $28,250 is $2,825, so the estimated sales tax would be $2,825.

If the average price of a hotel room decreased by 70% due to COVID-19 and the price was $135 before, we can find the new price by multiplying the original price by (1 - 70%). (1 - 70%) is equivalent to 0.3, so the new price would be $135 * 0.3 = $40.50. Therefore, the price for the hotel room now is $40.50.

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1/5=2/10=5/25

To get 2/10, since, in the denominators, to go from 5 to 10, you multiply 5 by 2, I multiplied 1 and 2 to get the answer.

For 5/25, to go from 1 to 5 you multiply 1 by 5, so you multiply 5 by 5, and that's 25, so the denominator for that fraction is 25.

The ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

To represent the gauge readings as rational numbers, we can express them as fractions with a common denominator.

Given readings:

25 psi pressure

13 psi vacuum

6.3 psi vacuum

7.8 psi vacuum

1.9 psi vacuum

2 psi pressure

7.8 psi pressure

Expressed as rational numbers with a common denominator:

25 psi = 25/1

13 psi = 13/1

6.3 psi = 63/10

7.8 psi = 78/10

1.9 psi = 19/10

2 psi = 2/1

7.8 psi = 78/10

Now, let's order these rational numbers from least to greatest:

1.9 psi = 19/10

6.3 psi = 63/10

7.8 psi = 78/10

7.8 psi = 78/10

13 psi = 13/1

25 psi = 25/1

2 psi = 2/1

Ordered from least to greatest:

19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1

Therefore, the ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

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The result for the given normal random variables are as follows;

a. E(3X + 2Y) = 18

b. V(3X + 2Y) = 77

c. P(3X + 2Y < 18) = 0.5

d. P(3X + 2Y < 28) = 0.8729

Any normally distributed random variable having mean = 0 and standard deviation = 1 is referred to as a standard normal random variable. The letter Z will always be used to represent it.

Now, according to the question;

The given normal random variables are;

E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8.

Part a.

Consider E(3X + 2Y)

\(\begin{aligned}E(3 X+2 Y) &=3 E(X)+2 E(Y) \\&=(3) (2)+(2)(6 )\\&=18\end{aligned}\)

Part b.

Consider V(3X + 2Y)

\(\begin{aligned}V(3 X+2 Y) &=3^{2} V(X)+2^{2} V(Y) \\&=(9)(5)+(4)(8) \\&=77\end{aligned}\)

Part c.

Consider P(3X + 2Y < 18)

A normal random variable is also linear combination of two independent normal random variables.

\(3 X+2 Y \sim N(18,77)\)

Thus,

\(P(3 X+2 Y < 18)=0.5\)

Part d.

Consider P(3X + 2Y < 28)

\(Z=\frac{(3 X+2 Y-18)}{\sqrt{77}}\)

\(\begin{aligned} P(3X + 2Y < 28)&=P\left(\frac{3 X+2 Y-18}{\sqrt{77}} < \frac{28-18}{\sqrt{77}}\right) \\&=P(Z < 1.14) \\&=0.8729\end{aligned}\)

Therefore, the values for the given normal random variables are found.

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The correct question is-

X and Y are independent, normal random variables with E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8. Determine the following:

a. E(3X + 2Y)

b. V(3X + 2Y)

c. P(3X + 2Y < 18)

d. P(3X + 2Y < 28)

Answer:

Should be 4/10

Step-by-step explanation:

If you add all the marbles up you get the total/denominator of 10. Then you find the fraction for orange marbles which is 2/10. Then the green, 2/10. Add the numerators and keep the denominator the same.

====================================================

Explanation:

See the diagram below. We're looking for the area of the shaded region in blue.

This is known as an inscribed circle since the circle is inside the square, touching each side at one point. This circle is as large as possible without spilling outside the square. Think of a balloon that has been inflated as much as possible to fill the room (it touches every wall at a tangent point).

The square has area s^2 = 6^2 = 6*6 = 36 square inches.

The circle has area pi*r^2 = pi*3^2 = 9pi square inches exactly. Note how I cut the diameter (6) in half to get the radius (3).

The blue shaded area is the difference of the square and circle areas, so we have 36 - 9pi as the exact area of the shaded region.

Using your calculator, you should find that 36-9pi = 7.72566611769187 approximately. I'm using my calculator's stored version of pi as opposed to something like pi = 3.14; but you may need to ask your teacher for clarification about what version of pi to use.

When rounding to the nearest tenth, we then get roughly 7.7 square inches as our final answer.

To make a table of values for a linear relationship;

Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value

Given,

Linear relationship;

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.

Here,

We have to make a table of values for a linear relationship;

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This option represents a correct sequence of steps in the conventional research model, starting with forming a hypothesis, then designing the research, followed by collecting data, and finally analyzing the data.

The correct sequence of steps in the "conventional" research model is D) Hypothesis formation, research design, data collection, data analysis. The first step is to form a hypothesis or a tentative explanation for the phenomenon being studied. The next step is to design the research study to test the hypothesis. This includes selecting the sample, determining the variables to measure, and deciding on the research methods.

Once the research design is finalized, data collection can begin. This involves gathering data using various techniques such as surveys, interviews, or experiments. Finally, data analysis is performed to examine the data and determine if the results support or refute the hypothesis.
Your answer: D) Hypothesis formation, research design, data collection, data analysis

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Answer:

Each juice cost $1.48

The correct answer is A. Yes. the argument conforms to the Law of Detachment.

Yes, the argument does illustrate the Law of Detachment. The Law of Detachment is a valid form of reasoning in propositional logic that states that if a conditional statement (p → q) is true and the antecedent (p) is true, then the consequent (q) can be inferred as true.

In the given argument:

The conditional statement "If the fuse has blown, then the light will not go on" can be represented as p → q, where p represents "the fuse has blown" and q represents "the light will not go on."

The given information states that the fuse has blown, which means that p is true.

According to the Law of Detachment, if p → q is true and p is true, we can conclude that q is also true. Therefore, we can infer that "the light will not go on" (q) is true.

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Answer:

The height of the chair is 29 3/4 inches

Step-by-step explanation:

In this question, we are told to calculate or give the height of the chair.

This is directly obtainable from the question. We are told that the height of the chair is 29 3/4 inches

Answer:

y = 2x -12

Step-by-step explanation:

6x – 3y = 36

Subtract 6x from each side

6x-6x – 3y =-6x+ 36

-3y = -6x +36

Divide by -3

-3y/-3 = -6x/-3 +36/-3

y = 2x -12

The number of coupons send by new club to existing members are 64.

For the given conditions in the question.

Let the existing number be 'x'.

3 times the number means do the multiplication of number by 3.

= 3x.

3 times as many to potential members than to existing members.

Thus,

3x = 192

x = 192/3

x = 64

Thus, the number of existing members are found to be 64.

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The inequality that represents how many DVDs Andy can rent in one month that satisfies this condition is 10 + .75n ≤ 25

The correct answer choice is option B

Cost of rental per month = $10

Additional cost = $0.75

Number of DVD's rented = n

Total amount Andy want to spend ≤ $25

The inequality:

10 + 0.75n ≤ 25

subtract 10 from both sides

0.75n ≤ 25 - 10

0.75n ≤ 15

divide both sides by 0.75

n ≤ 15 / 0.75

n ≤ 20

Ultimately, Andy can rent no more than 20 DVD's in a month.

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