If y varies directly as x and y = 15 when
x = -3. What is y when x = 6?

The value of input are {1, 2, 3, 4, 5}.

The value of output are {4, 5}.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

The points are given as;

{(1, 5) , (2, 4) , (3, 5) , (3, 4) , (4, 4) , (5, 5)}

Now, All points are shown in graph.

Clearly, The input of points are,

x = {1, 2, 3, 4, 5}.

And, The output of points are,

y = {4, 5}

So, The value of input are {1, 2, 3, 4, 5}.

The value of output are {4, 5}.

Learn more about the coordinates visit:

https://brainly.com/question/1047474

#SPJ1

The estimated cost of the new 3000-ft2 heat exchange system for the plant retrofit can be calculated using the power-sizing exponent and the price index. Based on the given information, the rough estimate for the cost of the new heat exchanger system is approximately $108,984.

To estimate the cost of the new heat exchange system, we need to consider the price index and the power-sizing exponent. The price index provides a measure of the change in prices over time. In this case, the price index 7 years ago was 1360, and the current price index is 1478.

To calculate the cost estimate, we can use the following formula:

Cost estimate = (Cost of previous heat exchanger) × (Current price index / Previous price index) × (New size / Previous size) ^ power-sizing exponent

Using the given information, the cost of the previous heat exchanger was $75,000, the previous size was 1200 ft2, and the new size is 3000 ft2.

Plugging in these values into the formula, we get:

Cost estimate = ($75,000) × (1478 / 1360) × (3000 / 1200) ^ 0.55

Simplifying the calculation, we find:

Cost estimate ≈ $108,984

Therefore, a rough estimate for the cost of the new 3000-ft2 heat exchanger system for the plant retrofit is approximately $108,984. It's important to note that this is just an estimate and the actual cost may vary based on specific factors and market conditions.

Learn more about exponent here:

https://brainly.com/question/5497425

#SPJ11

Answer:

18

Step-by-step explanation:

18

Answer:

{3,4,5,6}

Step-by-step explanation:

The domain is the values for the inputs

The input is x so the values are {3,4,5,6}

The domain is  {3,4,5,6}

Answer:

87.965 in.

Step-by-step explanation:

1) the formula of full arc is L=2π*r, the formula of the required 7π/4 is:

L=7π/4 *r;

2) according to the formula above:

L=7π*16/4=28π≈87,964594300514210676954014731826 (in).

Answer:

I think the one you have picked (miles per gallon, gallons in tank)

Step-by-step explanation:

This one really doesn't make sense without context and there is no way to determine miles per gallon and gallons per tank on a graph that is a function. (Function=Every input has only one output)

Reason: Given

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

Reason: Perpendicular lines form right angles.

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

Reason: All right angles are congruent.

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

Reason: Given

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

Reason: Given

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

Reason: HL

Answer:

Angle D is 45 degrees. The side length is 9 in.

Step-by-step explanation:

In a rotation, side lengths and angles do not change.

Answer:

10

Step-by-step explanation:

I just know. besides, it would take too long to write the explanation. Hope this helps :)

Answer:

it's 7 the answer

I calculate and I solve

Plss this my answer can help you

thank you

Answer:

isosceles triangle

Step-by-step explanation:

Answer:

Isosceles triangle

Step-by-step explanation:

A scalene triangle is a triangle with no lines of symmetry while an isosceles triangle has at least one line of symmetry and an equilateral triangle has three lines of symmetry.

Your Best Friend

s183960

Don't forget to rate

The possible formula for P(x) would be \(P(x)=x^5+x^4-5x^3+3x^2\).

What is a polynomial?

A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x² + 4x + 7 is an illustration of a polynomial with a single indeterminate x.

The polynomial of degree 5.

Each root corresponds to a linear factor, so we can write:

        \(P(x) = x^2(x-1)^2(x+3)\\\\P(x)=x^2(x^2-2x+1)(x+2)\\\\P(x)=x^5+x^4-5x^3+3x^2\)

Hence, the possible formula for P(x) would be \(P(x)=x^5+x^4-5x^3+3x^2\).

To learn more about polynomials, visit:

https://brainly.com/question/2833285

#SPJ4

Answer:

Option B and C

Step-by-step explanation:

Option B and C are the most valid names for the triangle, Rest of the options don't suit the triangle.

The value of p is 2 and q is either 7 or 13 and their sum is either 9 or 15.

It is given that the value of p and q is a prime number, and p<q.

But it is also given that the value of both should be less than 18 as well as a prime number.

Therefore the value of both should be 2, 3, 5, 7, 11, 13, and 17.

And it is also given that p<q.

Now we have to find the value of p + q which is odd but not a prime number.

To have a sum as an odd number one number should be even and as it is given that p<q, therefore p=2, and q = 3, 5, 7, 11, 13, 17.

So

p + q = 2 + 5 = 7, which is odd but it is prime

Now again, q = 7

p + q = 2 + 7 = 9 , which is odd as well as not prime.

Again take q = 11

p + q = 2 + 11 = 13, which is odd but prime

Now take q = 13

p + q =  2 + 13 = 15, which is odd as well as not prime.

Now take q = 17

p + q = 2 + 17 = 19, which is odd and prime.

Therefore we have p =2 and q = 7 or 13 and sum p + q =9 or 15 which is odd but not prime.

To know more about the prime number refer to the link given below:

https://brainly.com/question/792663

#SPJ1

The monthly investment payment is $1.28. This is based on a formula that calculates the monthly payment needed to reach a specific savings goal over a certain period of time.

The given formula to calculate the monthly investment payment is:  p = A(r/n)/[1 + (r/n)^nt - 1]

Here, A = $1, r = 0.03 (3%), n = 12 (monthly investment), and t = 15 years.

So, by substituting the values in the formula, we get:p = 1(0.03/12)/[1 + (0.03/12)^(12*15) - 1]p = 0.00025/[1.5418 - 1]p = 0.00025/0.5418p = 0.4614

8Round up the result to the nearest cent, so the monthly investment payment is $1.28 (approximate value).

Therefore, "The monthly investment payment is $1.28."

The term "Investment Payment" refers to a milestone-based repayment of the Contractor's investments, including any interest that has accrued on those investments.

Know more about investment payment, here:

https://brainly.com/question/32223559

#SPJ11

The bijection could be defined from the set of numbers and it is proved.

We can define a bijection f from S to T as follows: for any integer x in S, let f(x) = x + 1.

To show that f is a bijection, we need to prove that it is both injective and surjective.

To prove that f is injective, suppose f(x) = f(y) for some x, y in S. Then x + 1 = y + 1, which means x = y. Thus, f is injective.

To prove that f is surjective, let y be an arbitrary element of T. Since y is odd, we can write y = 2n + 1 for some integer n. Now consider the element x = 3n in S. We have f(x) = x + 1 = 3n + 1 = y, so f is surjective.

Therefore, f is a bijection from S to T, so |S| = |T|.

Learn more about Bijection at:

brainly.com/question/13837935

#SPJ4

Probability of both = 6/8 * 2/8 = 12/64 which reduces to 3/16.

acc  to our question-

learn more about probability click here:

brainly.com/question/13604758

#SPJ4

Answer:

5

Step-by-step explanation

Answer:

y = 5

Step-by-step explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

Because the slope is 0 and the y-intercept is 5, our equation will be

y = 5

Answer:

3. 130

2. Open Circle at f, shaded left.

Step-by-step explanation:

Edg. 2020

Answer:

3. 130

2. Open Circle at f, shaded left.

Step-by-step explanation:

Answer:

no abla espanol

Step-by-step explanation:

Answer: Evaluate! To solve your equation using the Equation Solver, type in your equation like x+4=5. The solver will then show you the steps to help you learn how to solve it on your own.

Step-by-step explanation:

Answer:

2,3

Step-by-step explanation:

2x+1<8

2x<7

x<7/2 or x<3.5

So, the values for x that make this statement true are 2 and 3, because they're both less than 3.5.

The solution to the given differential equation (1+x^4)dy + x(1+4y^2)dx = 0 with the initial condition y(1) = 0 is y + (1/5)x^5 = -((1/2)x^2 + (4/3)x^4) + 61/30.

To solve the given differential equation (1+x^4)dy + x(1+4y^2)dx = 0 with the initial condition y(1) = 0, we can use the method of separation of variables.

First, let's rearrange the equation:

(1+x^4)dy = -x(1+4y^2)dx

Now, we can separate the variables and integrate:

∫(1+x^4)dy = -∫x(1+4y^2)dx

Integrating both sides gives:

y + (1/5)x^5 = -((1/2)x^2 + (4/3)x^4) + C

Next, we can use the initial condition y(1) = 0 to find the value of the constant C:

0 + (1/5)(1)^5 = -((1/2)(1)^2 + (4/3)(1)^4) + C

1/5 = -(1/2 + 4/3) + C

1/5 = -11/6 + C

C = 1/5 + 11/6

C = (6 + 55)/30

C = 61/30

Finally, we can substitute the value of C back into the equation to obtain the solution:

y + (1/5)x^5 = -((1/2)x^2 + (4/3)x^4) + 61/30

This is the solution to the given differential equation with the initial condition y(1) = 0.

To learn more about equation , click here:

brainly.com/question/29657983

#SPJ11

Answer:

150 (i think)

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

2/3x = 10

To find x divide both sides by 2/3.

2/3x÷2/3 = 10÷2/3

x=15

Easy!! :3

x = 15

(2/3)*x = 10 // - 10

(2/3)*x-10 = 0

2/3*x-10 = 0 // + 10

2/3*x = 10 // : 2/3

x = 10/2/3

x = 15

Hope i helped!!

Have a great day!!

( `w`)``

Answer:

see explanation

Step-by-step explanation:

4a + 8               4

2a² + 8a            2a

12a² - 8a           4a

4 - 6a                2

Match each expression with its greatest common factor as follows;

4a + 8               4

2a² + 8a            2a

12a² - 8a           4a

4 - 6a                2

The largest number that is found in the common factors is called the greatest common factor.

The given expression are;

4a + 8              

2a² + 8a            

12a² - 8a      

4 - 6a              

The greatest common factor of the expression are as follows;

4a + 8  = 4(a+2) = common factor = 4    

2a² + 8a = 2a(a+4a) = common factor = 2a

12a² - 8a = 4a(3a-2) = common factor = 4a

4 - 6a = 2(2-3a) = common factor = 2

Learn more about the greatest common factor here;

https://brainly.com/question/15333869

#SPJ2

Answer:

3x^2 + 3  -->  6, 15, 30, 51

2x^2 - 1    -->  1, 7, 17, 31

x^2 + 2     -->  3, 6, 11, 18

Step-by-step explanation:

Let's start with the first equation; 3x^2 + 3

Substitute 1 (the first digit in a sequence) for x.

3(1^2) + 3

3(1) + 3

3 + 3 = 6

3(2^2) + 3 Then the second digit.

3(4) + 3

12 + 3 = 15

Since the two numbers we have so far are 6 and 15, there is only one sequence this could match. 6, 15, 30, 51.

2(1^2) - 1

2(1) - 1

2 - 1 = 1

This equation represents 1, 7, 17, 31.

These same steps apply to the other equation as well.

1^2 + 2, then 2^2 + 2, then 2^2 + 2, and so on. (But we don't need to do extra work to figure that out.)