how to solve problems with positive and negative numbers​

The inequality 20 ≥- 3.2(c - 4.3) can be represented as c  ≥ -1.95

The inequality is given as:

20 ≥- 3.2(c - 4.3)

Divide both sides of the inequality by -3.2

So, we have:

20/-3.2 ≥ -3.2(c - 4.3)/-3.2

Evaluate the quotient

-6.25 ≤ (c - 4.3)

Remove the bracket in the above inequality

So, we have:

-6.25 ≤ c - 4.3

Rewrite the above inequality as

c - 4.3 ≥ -6.25

Add 4.3 to both sides of the inequality

c  ≥ -1.95

This means that the inequality 20 ≥- 3.2(c - 4.3) can be represented as c  ≥ -1.95

See attachment for the graph of the inequality

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Therefore , the solution of the given problem of equation comes out to be x value is 1.

The identical symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors using mathematical techniques, which have served as manifestations of reality. For example, the equal sign divides the number 12 or even the solution y + 6 = 12 into two different halves. How many letters already appear on either end of such a symbol can be calculated. Conflicting symbol meanings occur frequently.

Here,

Given : 2y' = x +y

=> y' =  x + y /2

u =  x + y

=> y = x -u

=> y' = 1 - u'

So,

=> (x + x -u )/2 = 1 - u'

=>2x -u /2 = 1 -u'

=> x - u/2 = 1 - u '

=> x -1 = u/2 - u'

=> x -1 = u -2u' /2

=> 2x - 2 = u - 2u'

=> u - 2x + 2 /2 = du/dx

=> u - x² + x  = u

=> x = x²

=> x = 1

Therefore , the solution of the given problem of equation comes out to be x value is 1.

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Answer:

80+60+3x+4=180

140+3x+4=180

144+3x=180

3x=180-144

3x=36

x=12

Answer:

x = 12

Step-by-step explanation:

All triangles equal to 180 degrees so, we can set up this expression:

180 = (3x + 4) + 80 + 60

All we have to do is solve:

180 = (3x + 4) + 80 + 60

180 = 3x + 4 + 140

180 = 3x + 144

-144        -144

36 = 3x

/3     /3

12 = x

Answer:

equation is in form: r = a cos(nθ) or r = a sin(nθ)

If length of petal is given in graph, that gives a value.

n value is from number of petals

Step-by-step explanation:

hope this helps :D

(btw I hate rose graphs...)

Answer:

Rose curve equations have two forms: r = a cos(nθ) and r = a sin(nθ) where a ≠ 0 and n is a positive integer. Petals have length determined by a. If n is odd, the number of petals is n. However, if n is even, the number of petals is 2n.

Step-by-step explanation:

Answer:5.67* 10^7

Step-by-step explanation:

Answer:

6.2%

Step-by-step explanation:

The current tax rate for social security is 6.2% for the employer and 6.2% for the employee, or 12.4% total. The current rate for Medicare is 1.45% for the employer and 1.45% for the employee, or 2.9% total.

Answer:

Social security : 24.80

Step-by-step explanation:

Salary x social security tax rate = social security tax

400 x .062 (6.2%) = 24.80

The work done in stretching the spring from 40 cm to 44 cm is 0.28 J while the extension by the 20 N force is by 0.058 m.

Hooke's law states that, as long as the elastic limit is not exceeded the force that is exerted on an elastic material is directly proportional to the length of the material.

Given that;

W = 1/2Ke^2

W = elastic potential energy

K = force constant

e = extension

Given that the extension is obtained from; (49 - 32) * 10^-2

= 0.17 m

5 = 0.5 * K * (0.17)^2

K = 5/0.5 *  (0.17)^2

K = 346

a) To stretch the spring from 40 cm to 44;

e = (44 - 40) * 10^-2

= 0.04 m

W = 0.5 * 346 * (0.04)^2

= 0.28 J

b) The spring is stretched;

F = Ke

F =force

K = force constant

e = extension

20 = 346 * e

e = 20/346

e = 0.058 m

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George's current age is 10.

Let's break down the information given:

1. Tim is twice as old as his brother George.

2. George is 6 years older than his sister Leah.

3. In 4 years, Tim will be three times older than Leah.

Let's assign variables to the unknown ages. Let's say George's current age is G.

According to the given information:

1. Tim's age is twice George's age, so Tim's current age is 2G.

2. George is 6 years older than Leah, so Leah's current age is G - 6.

3. In 4 years, Tim will be three times older than Leah, so we can set up the equation: 2G + 4 = 3(G - 6 + 4).

Simplifying the equation:

2G + 4 = 3(G - 2)

2G + 4 = 3G - 6

Subtracting 2G from both sides:

4 = G - 6

Adding 6 from both sides:

10 = G

Therefore, George's current age is 10.

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Answer:

210-300=-90

Step-by-step explanation:hope this helps plz mrk me brainliest

The total weight is 18.5 kilograms

Answer: it’s 0.1% there’s no precent for it that’s greater than 100 but less than 1

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Since the pie is divided into 10 equal sections, we can assume they are all equivalent areas.  So 4 slices out of the total of 10 would mean that 4/10 or 40% of the pie has disappeared, with you as the only witness.  I suggest removing the evidence by consuming the remaining 6 slices.

Answer:

Yes.

Step-by-step explanation:

The difference of two rational numbers is always a rational number because the numbers are always complete. There will never be a running number. Think of it as multiplying two positive numbers, you can never receive a negative from two positives.

The completed statement based on two-dimensional motion in the x-y plane can be presented as follows;

The two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent, whether or not there is an acceleration in any direction. The correct option is therefore;

D) Whether or not there is an acceleration in any direction

Two-dimensional motion in the x-y plane can be analyzed by separating them into its horizontal (x) and vertical (y) components, and analyze each component using the one dimensional equations of motion.

The meaning of the motion on the x-y plane is that the x-direction motion of an object exclusive or excludes the effect of the motion of the object in the y-direction, vis a vis, the y-direction motion.

The horizontal and vertical components of the motion can be analyzes individually or by themselves, by making use of the equations of motion for a one-dimensional motion, whether or not there is an acceleration in any direction as the acceleration are also evaluated using one dimensional equations.

The possible options in the question from a similar question on the internet are;

A) When there is no acceleration in any direction

B) When there is no acceleration in one direction

C) Only when an acceleration is present in both directions

D) Whether or not there is an acceleration in either direction

E) Only when the acceleration is in the y-direction

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Step-by-step explanation:

Hope it helps you in your learning process.

As a result, the statements regarding the function f(x) =\(x^{2} -36\) are all correct.

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The formula f(x) = \(x^{2} -36\) can be used to support a number of claims.

Because the function is cubic, its graph is a parabola.

The curve rises because the x2 term's coefficient is positive.

The graph crosses the y-axis at y = -36 because the constant factor is equal to -36.

Setting f(x) = 0 and figuring out the value of x will reveal the function's roots:

\(x^{2} -36\\x^{2} = 36\)

x = ±6

Consequently, x = -6 and x = 6 are the function's bases.

Filling in the rectangle will reveal the vertex of the parabola:

f(x) =\(x^{2} -36\)

= (\(x^{2}\) - 36 + 81) - 81

= \((x-9)^{2}\) - 81

Therefore, the parabola's apex is (-9, -81).

The function is symmetric about the vertical line that passes through its apex.

Since the function's minimum value is -81 and its maximum value rises without limit as x approaches infinity in either direction, the range of the function is all real numbers greater than or equal to -36.

Consequently, the function f(x) = \(x^{2} -36\) fulfills all of the aforementioned criteria.

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Number 1  is B

Number 2 is D

Answer:

A model for the basal metabolic rate in kcal h of a young man is

A model for the basal metabolism rate, in kcal/h, of a young man is R(t) = 85 -0.18 cos(πt/12), where t is the time in hours measured from 5:00 AM.

Joanne, as the store manager at Glitter, is exercising her legitimate power that she obtains from her position of authority.

Legitimate power refers to the authority that comes with a specific role or position within an organization. In this case, Joanne's role as store manager grants her the power to make decisions and direct her sales staff. She uses this power to require her team to stay after normal work hours to complete tasks such as pricing and displaying new merchandise before each holiday season. This demonstrates that her power is derived from her position within the company rather than her personal attributes or expertise.

It is important to differentiate legitimate power from other forms of power, such as expert power, coercive power, and soft power. Expert power is based on one's knowledge and skills in a specific area, while coercive power involves using threats or force to get others to comply. Soft power, on the other hand, refers to influencing others through persuasion, diplomacy, and personal appeal.

In the context of this scenario, Joanne's power is primarily legitimate, as it stems from her position as store manager, rather than her expertise or personal influence.

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Jeremy paid $20.40 for a box of 15 pens.

The cost of one pen can be calculated by dividing the total cost by 15. This is shown below:

Hence, each pen costs $1.36.

The cost of each pen is $1.36.

We will use the formula:

Cost of one pen = total amount/number of pens

Given in the question,

Total amount = $20.40

Number of pens = 15

Now, we will put the values in the above formula,

Cost of one pen = 20.40 / 15

= $1.36

Therefore, the cost of each pen is $1.36.

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The average speed for the round trip would be 53.85 km/h for a car that travels up a hill at a constant speed of 42 km/h and returns down the hill at a constant speed of 75 km/h.

We are required to calculate the average speed for a car that travels up a hill at a constant speed of 42 km/h and returns down the hill at a constant speed of 75 km/h.

Step-by-step explanation:

Firstly, we know that,

Average speed is defined as the total distance covered by the body during its motion divided by the total time taken by it. Mathematically,

Average speed= Total distance / Total time

Let us assume that the total distance covered by the car while going up and down the hill is 'd'.And,let the time taken to travel uphill be 't1' and the time taken to travel downhill be 't2'.As the car is traveling at a constant speed, we can say that the speed of the car is constant during both uphill and downhill.

Now, let's calculate the time taken to travel uphill.

Time taken to travel uphill, t1 = Distance / Speed = d/42

Similarly, the time taken to travel downhill, t2 = Distance / Speed = d/75

Therefore, the total time taken for the round trip, t = t1 + t2 = d/42 + d/75

To calculate the average speed, we need to calculate the total distance covered, which is equal to 2d (as the car is traveling uphill and downhill)

Therefore, Average speed= (Total distance) / (Total time taken)= 2d / (d/42 + d/75)= 2 / (1/42 + 1/75)= 2 / ((75+42) / (75*42))= 2 / (117/3150)= 6300 / 117= 53.85 km/h (approx)

Therefore, the average speed of the car for the round trip is 53.85 km/h (approx).

Hence, the correct option is km/h53.85.

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Yes, monotone is a sequence.

We say that a sequence (xn) is increasing if xn ≤ xn+1 for all n and strictly increasing if xn < xn+1 for all n.

Similarly, we define decreasing and strictly decreasing sequences. Sequences which are either increasing or decreasing are called monotone.

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a. To determine the most consistent results, Charles, Isabella, and Naomi should calculate the range.

b. Isabella achieved the most consistent results with the smallest range of 9, while Charles and Naomi had ranges of 18 and 33, respectively.

a) To determine who has the most consistent results, Charles, Isabella, and Naomi should calculate the range. The range measures the spread or variability of the data set and provides an indication of how dispersed the individual results are from each other.

By calculating the range, they can compare the differences between the highest and lowest scores for each person, giving them insight into the consistency of their performance.

b) To find out who achieved the most consistent results, we can calculate the range for each individual and compare the values.

For Charles: The range is the difference between the highest score (57) and the lowest score (39), which is 57 - 39 = 18.

For Isabella: The range is the difference between the highest score (71) and the lowest score (62), which is 71 - 62 = 9.

For Naomi: The range is the difference between the highest score (94) and the lowest score (61), which is 94 - 61 = 33.

Comparing the ranges, we can see that Isabella has the smallest range of 9, indicating the most consistent results among the three. Charles has a range of 18, suggesting slightly more variability in his scores. Naomi has the largest range of 33, indicating the most variation in her results.

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Answer:

The first and third are functions.

Step-by-step explanation:

Functions must have only one y-value for an x-value.

A room area

Lenght × Width = 16 × 12

= 192 square feet

1 square yard = 9 square feet

so 1 square feet = 1/9 square yard

192 square feet = 192 × 1/9 square yard

= 64/3 square yard

Total cost

$30 × 64/3 = $640

Answer:

what?

Step-by-step explanation:

Answer:

what you mean

I do not understand what this means

Answer:

take a better picture

Step-by-step explanation:

Nobody can see that ;-;

Answer:

It is one of the 4 answers the question gives.

Step-by-step explanation: