what is 3+4n-2+2n simplified

Answer: x - 1.5

4x – 97 + 12 – x = -80.5

3 x - 85 = -80.5

3 x - 85 +85 = -80.5 + 85

3x = -80.5 + 85

3x = 4.5

x = 1.5

Step-by-step explanation: hope this helps

Answer:

x=1.5

Step-by-step explanation:

4x-97+12-x=-80.5

Combine like terms

-97+12=-85

4x-x=3x

now you have 3x-85=-80.5

add 85 to both sides and now you have

3x=4.5

Now divide 3 to both sides and you get x=1.5

Answer:

\(y=-3x+41\)

Step-by-step explanation:

Equation of a Line

A line of slope m and y-intercept b can be expressed by the equation:

\(y=mx+b\)

We are given a line with the equation:

\(y=1/3x-5\)

The slope of this line is m1=1/3. To find the slope m2 of a line perpendicular to this one, we use the following equation:

\(m_1.m_2=-1\)

Solving for m2:

\(\displaystyle m_2=-\frac{1}{m_1}\)

\(\displaystyle m_2=-\frac{1}{\frac{1}{3}}=-3\)

Once found the new slope, the required equation has the form:

\(y=-3x+b\)

To find b, we use the point (9,14) through which the line passes:

\(14=-3(9)+b\)

\(b=14+27=41\)

Thus the equation of the line is:

\(\boxed{y=-3x+41}\)

Answer:

\(\boxed{x = -6}\)

Step-by-step explanation:

\(x-48 = 6(x-3)\)

Resolving parenthesis

\(x - 48 = 6x-18\)

Adding 18 to both sides

\(x-48+18 = 6x\\x-30 = 6x\)

Subtracting x from both sides

\(-30 = 6x-x\\-30 = 5x\)

Dividing both sides by 5

\(-30/5 = x\)

\(-6 = x\\\)

OR

x = -6

Answer:

Step-by-step explanation:

x - 48 = 6(x - 3)

Expand the terms in the bracket

That's

x - 48 = 6x - 18

Group the constants at the right side of the equation and the ones with variables at the left side

x - 6x = 48 - 18

- 5x = 30

Divide both sides by - 5

Hope this helps you

side length1 = x

side length2 = y

2x + 2y = perimeter

2(4x) + 2(4)y = new perimeter

8x + 8y = new perimeter

new perimeter = 4 times the old perimeter

The expected value for the number of subjects who are vaccinated and are diseased is  56.7

Since we are given the information that a new vaccination is being used in a laboratory experiment to investigate whether it is effective. there are 273 subjects in the study.  We can calculate this by taking the total number of subjects who are vaccinated (119) and multiplying it by the proportion of subjects who are diseased

(47/273).  119 x (47/273) = 56.7

which is  the expected value for the number of subjects who are vaccinated and are diseased

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the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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Answer:

15

Step-by-step explanation:

Step-by-step explanation:

(7y² + 6xy) - (-2xy + 3)

⇒ (-1 * -2xy) + (-1 * 3) = 2xy - 3

7y² + 6xy + 2xy - 3

7y² + 8xy - 3  

Answer:

It's 4-12x

Step-by-step explanation:

The race between runners A and B can be analyzed by examining their position functions, which can be derived from their respective velocity functions.

Runner A's position function, denoted as s(t), can be found by integrating the velocity function, v(t), with respect to time, t.

In this case, the velocity function of runner A is v(t) = 3sin(t), and the initial position is given as s(0) = 0. Integrating v(t), we find s(t) = -3cos(t) + C, where C is the constant of integration determined by the initial position.

Similarly, for runner B, the velocity function is v(t) = 3cos(t), and the initial position is s(0) = 0. Integrating v(t), we obtain s(t) = 3sin(t) + D, where D is the constant of integration determined by the initial position.

To determine the time and positions at which the runners first pass each other, we need to find the values of t for which s(t) of runner A equals s(t) of runner B.

Equating the position functions, we have -3cos(t) + C = 3sin(t) + D. Solving this equation will give us the time(s) at which the runners pass each other.

Furthermore, by substituting the values of t obtained from the equation into either s(t) = -3cos(t) + C or s(t) = 3sin(t) + D, we can find the corresponding positions at which they first pass each other.

Therefore, to analyze the race between runners A and B, we derive their position functions from their given velocity functions and by equating the position functions, we can determine the time(s) at which they pass each other and find the corresponding positions at those times.

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Answer:Yes, it is possible to have the sum of square roots equal the square root of the sum of the radicands.

If either a or b equals zero, then the sums would be the same.

Since the square root of 0 is 0, adding it to a given radical would not change the radical. Also, adding zero to the radicand would not change its value.

Step-by-step explanation:

The statement √a + √b = √(a + b) is not possible since a ≠ b

The operation involving surd is most likely an algebraic expression where in the case of surd the value in the square root are like the alphabets in algebraic expression.

Some surd operations are given as shown below:

Now, let us consider the question given:

Since a and b are not equal, it means

√a + √b ≠ √(a + b)

Thus, we can conclude that the statement √a + √b = √(a + b) is not possible

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The value of the expression 7₂ + 3₃ is 10₅.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is a number used before a phrase.

Given:

An expression is 7₂ + 3₃.

To find the value of the expression, first, add 7 and 3.

That means, 7 + 3 = 10.

Now add 2 and 3,

2 +3 = 5

So, the value of the expression is 10₅.

Therefore, the result is 10₅.

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A basic feasible solution to a linear program refers to a solution that satisfies all the constraints of the problem and lies on one of the extreme points of the feasible region.

To describe all descent directions from this point, we need to consider the gradient of the objective function. A descent direction is any direction along which the objective function decreases. Mathematically, the descent directions can be obtained by considering the null space of the constraint matrix.

The null space of the constraint matrix represents all the directions in which the constraints are satisfied. In other words, any linear combination of the vectors in the null space would not violate any of the constraints. Therefore, these vectors represent feasible descent directions.

However, not all descent directions are feasible descent directions. A feasible descent direction is one that not only decreases the objective function, but also satisfies all the constraints. The feasible descent directions can be obtained by intersecting the null space with the feasible region.

The simplex method, which is commonly used to solve linear programs, does not always move in a descent direction. In some cases, the simplex method may move in a direction that increases the objective function temporarily before eventually finding a better solution. This is because the simplex method explores different vertices of the feasible region in search of the optimal solution.

The descent directions from a basic feasible solution can be obtained by considering the null space of the constraint matrix. Feasible descent directions are those that not only decrease the objective function but also satisfy all the constraints. The simplex method does not always move in a descent direction as it may explore different vertices in search of the optimal solution.

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Answer:

4?

lol

Step-by-step explanation:

The ordered pair (-2, 2) satisfies both inequalities y < -x + 1 and y > x.

The correct option is A: (-2, 2).

To determine which ordered pairs satisfy both inequalities y < -x + 1 and y > x, we need to check each pair's coordinates in both inequalities.

Let's test each ordered pair:

A: (-2, 2)

For y < -x + 1: 2 < -(-2) + 1 → 2 < 3 (True)

For y > x: 2 > -2 → 2 > -2 (True)

B: (1, 1)

For y < -x + 1: 1 < -(1) + 1 → 1 < 0 (False)

For y > x: 1 > 1 → 1 > 1 (False)

C: (0, 0)

For y < -x + 1: 0 < -(0) + 1 → 0 < 1 (True)

For y > x: 0 > 0 → 0 > 0 (False)

D: (-1, -1)

For y < -x + 1: -1 < -(-1) + 1 → -1 < 2 (True)

For y > x: -1 > -1 → -1 > -1 (False)

From the above calculations, we can see that only the ordered pair (-2, 2) satisfies both inequalities y < -x + 1 and y > x. Therefore, the correct answer is option A: (-2, 2).

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The complete question:

Which ordered pairs make both inequalities y < -x + 1 and y > x true?

A: (2, 2)

B: (1, 1)

C: (0,0)

D: (-1, -1)

Answer:

48

11

Step-by-step explanation:

5 glasses  ------  20 sec

12 glasses ------  ?

so 5 * x = 12 * 20

x = 12 * 4

x = 48

12 glasses -------  48 sec

?   glasses -------  44 sec

so 12 * 44 = x * 48

44 = x * 4

x = 44/4 = 11

x = 11

Answer:

12 - 48

11 - 44

Step-by-step explanation:

20 ÷ 5 = 4

12 · 4 = 48

44 ÷ 4 = 11

I hope this helps!

The height of the soil in the new planter is 2 20/33 ft.

To find the height of the soil in the new planter, we need to determine the volume of the soil in the original planter and divide it by the base area of the new planter.

Step 1: Find the volume of the soil in the original planter.
The volume of a rectangular prism can be calculated by multiplying the length, width, and height. In this case, the dimensions are given as 1 1/2 ft, 3 2/3 ft, and 2 ft respectively. To perform calculations with mixed numbers, it is helpful to convert them to improper fractions.

1 1/2 ft = 3/2 ft
3 2/3 ft = 11/3 ft

The volume is:
Volume = (3/2 ft) * (11/3 ft) * (2 ft)

= 22 ft³

Step 2: Find the height of the soil in the new planter.
The base area of the new planter is given as 8 1/4 ft. Again, convert the mixed number to an improper fraction.

8 1/4 ft = 33/4 ft

To find the height, divide the volume of the soil by the base area:
Height = Volume / Base Area

= (22 ft³) / (33/4 ft)

= 22 ft³ * (4/33 ft)

= 88/33 ft

= 2 20/33 ft

The height of the soil in the new planter is 2 20/33 ft.

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Hello.

First, let the number be r.

5 times r is written like this:

\(\rm{5r}\)

Now, add 45:

\(\mathrm{5r+45}\)

Now, the sum of 5r+45 is equal to the sum of 85 and 140:

\(\mathrm{5r+45=85+140}\)

In order to solve this equation, we need to add 85 and 140:

\(\mathrm{5r+45=225}\)

Now, subtract 45 from both sides:

\(\mathrm{5r+45-45=225-45}\)

\(\mathrm{5r=225-45}\)

\(\mathrm{5r=180}\)

The last step is to divide both sides by 5:

\(\mathrm{r=36}\)

Therefore, the answer is

\(\rm{r=36}\)

I hope it helps.

Have a nice day.

\(\boxed{imperturbability}\)

Answer:

68.5 feet per minute

Step-by-step explanation:

rate of descent = feet / minute

First you need to find how many feet it has descended:

beginning altitude- ending altitude = total feet descended

5717 feet - 3388 feet = 2329 feet

To figure out the rate of decent we will divide

2329 feet / 34 minutes = 68.5 feet per minute

The hot air ballon descended 68.5 feet per minute for 34 minutes.

The time required to fill 288 liters of water would be 288/6.4 = 45 minutes.Therefore, the time taken by the key to fill 288 liters of water is 45 minutes.

The given data in the problem is that a key delivers 32 liters of water in 5 minutes. We are required to calculate how much time it will take to fill 288 liters of water.So, let's proceed with the solution,Step 1: We need to find out how many liters of water is filled in one minute. We can use the unitary method to solve the problem. We know that 32 liters of water is filled in 5 minutes. Hence, in one minute, the amount of water filled would be32/5 = 6.4 litersStep 2: Now, we need to find the time required to fill 288 liters of water. Again, we can use the unitary method. We have found out that the amount of water filled in one minute is 6.4 liters. Therefore, the time required to fill 288 liters of water would be 288/6.4 = 45 minutes.Therefore, the time taken by the key to fill 288 liters of water is 45 minutes.

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Answer:

x - 3

Step-by-step explanation:

Jenna picked x.

Josh picked 2x - 3.

The difference is:

2x - 3 - x

which simplifies to

x - 3

Answer: x - 3

Answer:

B

Step-by-step explanation:

from the graph,the line passes through (5,40) .As we know that,

slope = rise /run = weight/amount in jug ,

slope = 40 pounds / 5 gallons

slope= 8 pound/gallon

This means water weighs 8 pound per gallon .

Correct answer is option B .

and we are done!

Probability sampling procedure is the way researcher adhere closely to precise selection procedures to ensure that the results are projectable to the population under study.

What is Probability Sampling ?

Using this methodology based on probability theory, probability sampling is the strategy in which the research fellows selects samples from the larger population. A participant must be chosen at random if they are to be used as a probability as a sample.

As in this question researcher must follow Probability sampling, a participant must be chosen at random if they are used as a probability as the sample.

So, the required answer will be Probability sampling, as it helps researcher to precise selection procedures.

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Step-by-step explanation:

8x-2=46

collect like terms

8x=46+2

8x=48

Divide both sides by 8

8x÷8=48÷8

x=6

Considering the extremas, the graph D represents the situation in this problem.

For this problem, we have that 33 days is the period between the relative maximums of the function, hence graph D represents the situation in this problem.

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Answer:

125 questions

Answer:

125 questions

Step-by-step explanation:

The volume of the prism is  determined as 23.4 in³.

The volume of the prism is calculated by applying the following formula as follows;

Mathematically, the formula for volume of a prism is;

V = ¹/₂ x b x h x l

where;

The height of the prism is calculated as;

h = √ (3² - 1.5²)

h = 2.6 in

The volume of the prism is calculated as;

V = ¹/₂ x 3 x 2.6 x 6

V = 23.4 in³

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Answer:

63.20

Step-by-step explanation:

Because you do 8% of 789.99 which equals 63.20

Answer:

6.31 sales tax

Step-by-step explanation:

1. make 8% in a decimal

.008

2. multipy the numbers

789.99 ×.008=6.31

hopefully this is right haven't done this math in 2 years

have a good day