Solve -3x^2-4x-4=0. Use the quadratic formula.

Answer:

C.Less than $712.50

Step-by-step explanation:

Given details are :

Loan amount = $190,000

Rate = 4.5% or 0.045 compounded monthly.

Time = [tex]30\times12=360[/tex] months

Monthly payments are = $962.70

First month interest = $712.50

I have calculated this using excel sheet and the answer is - C.Less than $712.50 .

Please find attached the excel sheet to see the working. You can see the highlighted interest that is less than first month interest.

Answer:Less than $712.50

Step-by-step explanation:

When calculating the change in internal energy (δe) using the First Law of Thermodynamics, first convert all units to the same kind, then apply the formula δe = q + w. In this case, the answer is -0.07 kJ or -70 J.

This is a Chemistry question involving the calculation of change in internal energy (δe) using the First Law of Thermodynamics, which states that the change in internal energy is equal to heat (q) added to the system plus the work (w) done on the system. Specifically, the formula is: δe = q + w.

        -830 J * (1 kJ / 1000 J) = -0.83 kJ.

Therefore, using two significant figures, the answer is -0.07 kJ or -70 J.

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The change in internal energy (ΔE) is -0.07 kJ. Since ΔE is negative, this indicates that the system has lost internal energy.

Given:

q = 0.764 kJ

w = -830 J

We can calculate the change in internal energy (ΔE) using the following equation:

ΔE = q + w

where:

ΔE is the change in internal energy (kJ)

q is the heat absorbed by the system (kJ)

w is the work done by the system (kJ)

First, convert the work from joules to kilojoules:

w = -830 J * (1 kJ/1000 J) = -0.830 kJ

Now, plug in the values for q and w to calculate ΔE:

ΔE = 0.764 kJ + (-0.830 kJ) = -0.066 kJ

Round the answer to two significant figures:

ΔE ≈ -0.07 kJ

Therefore, the change in internal energy (ΔE) is -0.07 kJ. Since ΔE is negative, this indicates that the system has lost internal energy.

The dimensions of a right circular cylindrical can that holds 5832 cubic cm and uses the least amount of material are a radius of approximately 10.614 cm and a height of approximately 16.526 cm.

The question asks for the dimensions of a right circular cylindrical can that holds 5832 cubic cm of liquid and is designed to use the least amount of material. This scenario fits into the realm of mathematical optimization. Here, we’re being asked to identify dimensions that minimize the surface area of the cylinder while holding a fixed volume. This kind of problem is typically addressed using calculus.

The volume V of a cylinder is given by the formula V = πr²h where r is the cylinder radius and h is the cylinder height. The surface area A of a cylinder closed at both ends is given by A = 2πrh + 2πr².

From the volume equation, we can express h in terms of V and r, h = V/πr². Substituting this into the surface area equation yields: A = 2πr(V/πr²) + 2πr² = 2V/r + 2πr².

To find the radius that minimizes the surface area, we would set the derivative of the surface area with respect to r equal to zero and solve for r. After these calculations, we find that r = (V/(2π))^(1/3). For V = 5832 cubic cm, this yields r ≈ 10.614 cm.

Substitute r ≈ 10.614 cm back into the equation h = V/πr² to find h ≈ 16.526 cm. So, the dimensions of the can that minimizes the material used are radius 10.614 cm and height 16.526 cm.

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To find the dimensions of the cylindrical can that holds a specific volume and is made from the least material, utilize the volume and surface area formulas for a cylinder. Using calculus, find the radius that minimizes the surface area, then find the corresponding height.

This problem is a classic calculus optimization problem. The volume of the cylindrical can is given by the formula V = πr²h, where r is the radius and h is the height of the cylinder. To minimize the amount of material used in constructing the can, we need to minimize the surface area, given by the formula [tex]A = 2\pi rh + 2\pi r^2[/tex] (which includes both top and bottom of the can).

From the volume formula, we can express h as h = V/πr² = 5832/πr². Substituting this value into the surface area equation, we get A = [tex]2\pi r(5832/\pi r^2) + 2\pi r^2 = 11664/r + 2\pi r^2.[/tex] Differentiating this equation with respect to r and setting the derivative equal to zero, will provide the radius that minimizes the material used. The height can be obtained by substituting this radius value back into the equation h = 5832/πr².

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Answer :- A definition and a theorem can be used as a reason in a two-column proof.

Explanation:-

A two column proof is assembled into statement and reason columns, where each statement should have verified reason. The reason in a two column proof are usually given information, vocabulary definitions, postulates and previously proved theorems.

Therefore, from the given options a definition and a theorem can be used as a reason in a two-column proof.

A definition and a theorem can be used as a reason in a two-column proof.

Further explanation:

Given:

The options are as follows,

(a). A true premise

(b). A conjecture

(c). A definition

(d). A theorem

Explanation:

True premise is an assumption about something is true. It is not proved.

Conjecture is a statement that has not been proved.

Definition is a statement which tells us the meaning of the word.

Theorem is a statement that has been proved.

A definition and a theorem can be used as a reason in a two-column proof.

Conjecture and true premise cannot be used as a reason in a two-column proof as they are not proved.

Option (a) is not correct as a true premise cannot be used as reason in two-column proof.

Option (b) is not correct as a conjecture cannot be used as reason in two-column proof.

Option (c) is correct can be used as a reason in a two-column proof.

Option (d) is correct can be used as a reason in a two-column proof.

Learn more:

1. Learn more about inverse of the function https://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Simple interest

Keywords: two-column proof, a true premise, a conjecture, a definition, a theorem, correct answer, reason.

Answer:

the answer is B

Step-by-step explanation:

Answer:

The correct answer is C.

Step-by-step explanation:

This can be done using complex numbers and its relations with plane geometry. The endpoints of the segment are X(-6,2) and Y(-1,-3). These points can be seen as complex numbers, just recall the geometric interpretation of complex numbers.

So, the complex counterpart of [tex]X(-6,2) is x=-6+2i[/tex], and the complex counterpart of [tex]Y(-1,-3) = -1-3i[/tex]. Moreover, a rotation about the origin has an interpretation as multiplication by a complex number of modulus 1. In this particular case, a rotation of 90 degrees is equivalent to multiply by the complex unit: [tex]i=\sqrt{-1}[/tex].

Then,

[tex] x' = (-6+2i)\times i = -2-6i[/tex] which gives the point [tex]X'(-2,-6)[/tex]

[tex] x' = (-1-3i)\times i = 3-1i[/tex] which gives the point [tex]Y'(2,-1)[/tex].

The other option is to use a software to make geometrical constructions as Geogebra. Bellow there is an image attached made with Geogebra with the solution of the exercise.

Answer:

  b.  linear; y +2 = -5/4(x +9)

Step-by-step explanation:

From the first line of the table to the second, we have ...

   slope = (change in y)/(change in x) = (-7-(-2))/(-5-(-9)) = -5/4

Only one equation shows a slope of -5/4: the second one.

__

We know the relation is linear because the same slope can be computed from any pair of lines of the table. In particular, from one row to the next, x changes by the constant value +4 and y changes by the constant value -5.

This is irrelevant, but was THAT many exclamation points necessary?

Anyway, these aren't that hard, you gotta just use your brain a bit. These problems use a bit of simple common sense if you put 2-and-2 together and look into it. Look for signs and just use your head, it's hard to explain but just try. ^^

Answer:

You can make 20  - 5 pound bags  

Step-by-step explanation:

You first find the number of total pounds that the 400 applying  ratios :  

400 apples * ¼ pound / 1 apple = 100 pounds by simplifying units  

Then we find the number of bags as:  

100 pounds* (1 bag/5 pounds ) = 20 bags by simplifying units

So the final answer is 20 bags for this problems by using ratios  

The required values are x = 60 and y = 30 for the given parallelogram.

A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal. A parallelogram is a square and a rhombus is a square.

The parallelogram is represented in the given figure

A parallelogram has two pairs of adjacent sides that are congruent.

As per the given figure, we have

x + 5x - 180 = 180

6x = 360

x = 360/6

Apply the division operation, and we get

x = 60

2y + 4y = 180

Apply the addition operation, and we get

6y = 180

y = 180/6

y = 30

Thus, the required values are x = 60 and y = 30

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The standard form of the equation  is:

                  [tex]x=8y^2-16y-7[/tex]

We know that the standard form of a quadratic equation is given by the expression:

[tex]x=ay^2+by+c[/tex]

where a,b and c are real numbers.

and a≠0

Here we are given the  vertex form of the equation of a parabola by:

[tex]x=8(y-1)^2-15[/tex]

Now, on expanding the parentheses term by using the formula:

[tex](a-b)^2=a^2+b^2-2ab[/tex]

Here a=y and b= 1

Hence, we have:

[tex]x=8(y^2+1-2y)-15\\\\i.e.\\\\x=8\times y^2+8\times 1-2y\times 8-15\\\\i.e.\\\\x=8y^2+8-16y-15\\\\i.e.\\\\x=8y^2-16y+8-15[/tex]

( Since, in the last step we combined the constant term i.e. 8 and -15 )

Hence, we get the standard form of the equation as:

[tex]x=8y^2-16y-7[/tex]

The two numbers are 31 and 19, where 31 is the larger number and 19 is the smaller number which is 12 less than the larger number.

The sum of two numbers is given to be 50, and the question states that the smaller number is 12 less than the larger number. To find these numbers, let's denote the larger number as x and the smaller number as x - 12. According to the problem, the sum of these two numbers is 50, so we can write the equation:

x + (x - 12) = 50

Simplifying the equation gives us:

2x - 12 = 50

Adding 12 to both sides gives us:

2x = 62

Dividing both sides by 2 gives us:

x = 31

Now that we know the larger number is 31, we can find the smaller number by subtracting 12:

x - 12 = 31 - 12

x - 12 = 19

Therefore, the two numbers are 31 and 19.

Answer:

x=107

[tex]x-34=107-34=73[/tex]

Step-by-step explanation:

Sum of angles in a quadrilateral is 360 degree

right angle is 90 degree

[tex]90 +90+x+x-34= 360[/tex]

[tex]180+x+x-34=360[/tex]

subtract 180 from both sides

[tex]x+x-34=180[/tex]

[tex]2x-34=180[/tex]

add 34 on both sides

[tex]2x=214[/tex]

divide by 2 on both sides

x=107

[tex]x-34=107-34=73[/tex]

Answer:

40. Just add 20+20 and you will get your answer.