2y + 12 = -3x

solve pls i have more I WILL GIVE EXTRA POINTS!!!!!!!!!!
20+

The total number of ways five of them to sit in a row of chairs under the given condition is equal to 152 ways.

Use the principle of inclusion-exclusion to solve this problem.

Let us first consider the case where Alice sits next to Bob or Carla.

Now, treat Alice, Bob, and Carla as a block, which can be arranged in 3! = 6 ways.

Within this block, Alice can sit in two different positions,

And Bob and Carla can sit in the remaining two positions.

There are 6 x 2 = 12 ways for Alice to sit next to Bob or Carla.

Now,

Let us consider the case where Derek sits next to Eric.

Treat Derek and Eric as a block,

which can be arranged in 2! = 2 ways.

Within this block,

Derek can sit in two different positions,

And Eric can sit in the remaining position.

There are 2 x 2 = 4 ways for Derek to sit next to Eric.

However,

Double-counted the case where Alice sits next to Bob or Carla AND Derek sits next to Eric.

Treat Alice, Bob, Carla, Derek, and Eric as two blocks,

which can be arranged in 2! x 3! = 12 ways.

Within each block,

There are 2 ways to arrange the people.

There are 12 x 2 x 2 = 48 ways for both conditions to be satisfied.

Using the principle of inclusion-exclusion,

The total number of ways for the five of them to sit in a row of chairs under these conditions.

Total

= total number of ways - number of ways Alice sits next to Bob or Carla - number of ways Derek sits next to Eric + number of ways both conditions are satisfied

= 5! - 12 - 4 + 48

= 152

Therefore, there are 152 ways for the five of them to sit in a row of chairs under these conditions.

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Answer:

y = x - 1

Step-by-step explanation:

The formula for slope-intercept form is:

y = mx + b

m = slope

b = y-intercept

Slope is equal to rise over run...Let's take points (1,0) and (2,1) for example, see how if you add 1 to (1,0) it turns to (2,1)? This means the slope is 1.

The y-intercept is where x is equal to 0. Look at point (0,-1). X is zero here, and y is -1. This means that the y-intercept is -1.

The final equation would then be:

y = x - 1

(You typically don't write the 1 in front of the x if 1 is the slope)

Hope this helps!!

- Kay :)

Answer:

Step-by-step explanation:

By triangle sum theorem,

Sum of all angles of a triangle is 180°.

m∠1 + m∠2 + m∠3 = 180°

(m∠1 + m∠3) + m∠2 = 180°

2(m∠1) + 70° = 180° {Given → m∠1 = m∠3]

2(m∠1) = 110°

m∠1 = 55°

Therefore, m∠1 = m∠3 = 55°

The radius of the circle, in inches, is (2√6)/π.

The perimeter of an equilateral triangle is equal to 3 times its side length. We know that the area of a circle is equal to πr2, where r is the radius of the circle. Therefore, the radius of the circle, in inches, is equal to the square root of (3*s2)/π, where s is the length of the side of the triangle.

For example, if the length of the side of the triangle is 8 inches, then the radius of the circle is equal to the square root of [(3*82)/π] = (24/π) inches. Simplifying this into simplest radical form, we get (2√6)/π inches. Thus, the radius of the circle, in inches, is (2√6)/π.

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Answer:

Option C (15 + n)

Step-by-step explanation:

The phrase "the sum of" indicates addition.

This means we would write the sum of 15 and a number as 15 + n, where 'n' is the unknown value.

Option C should be the correct answer.

Hope this helps.

Answer:

The surrounding air

Step-by-step explanation:

Answer:

the surrounding air

Step-by-step explanation:

The percentage of Measurements that are 124.4 or higher is approximately 0.99%.

In order to determine the percentage of measurements that are 124.4 or higher in a population of measurements that is approximately normal with a mean of 95 and a standard deviation of 15, we need to use the z-score formula.

The z-score formula is used to standardize a distribution so that it can be compared to a normal distribution with a mean of 0 and a standard deviation of 1.

The formula for calculating the z-score is: z = (x - μ) / σWhere:x is the measurement we want to standardize.μ is the population mean.σ is the population standard deviation.

The first step is to calculate the z-score for the measurement of 124.4:z = (124.4 - 95) / 15z = 2.2933The second step is to find the percentage of measurements that are 124.4 or higher using a standard normal distribution table. We look up the area to the right of the z-score of 2.2933 in the table.

The closest value in the table is 0.9901, which corresponds to a z-score of 2.33. We know that the area to the left of a z-score of 2.33 is 0.9901, so the area to the right of a z-score of 2.33 is:1 - 0.9901 = 0.0099

This means that approximately 0.99% of the measurements are 124.4 or higher.

Therefore, the percentage of measurements that are 124.4 or higher is approximately 0.99%.

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ZA + ZB = 90°

We don't have any information about ZA and ZB, so we can't solve for x.

To find the value of x if ZC and ZD are supplementary angles, we know that:

ZC + ZD = 180°

We also know that ZD = 9x - 16°. Substituting this into the equation above, we get:

ZC + (9x - 16) = 180

Simplifying the equation, we get:

ZC = 16 - 9x + 180

ZC = -9x + 196

We also know that LC = 7x - 46°. Since LC and ZC are vertical angles, they are equal to each other. Substituting LC = ZC, we get:

7x - 46 = -9x + 196

Solving for x, we get:

16x = 242

x = 15.125

Therefore, the value of x if ZC and ZD are supplementary angles is approximately 15.125.

To find the value of x if ZA and ZB are complementary angles, we know that:

ZA + ZB = 90°

We don't have any information about ZA and ZB, so we can't solve for x.

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P(part-time job) = 2/3

P(no driver's license) = 4/11

P(part-time job and driver's license) = 1/2

P(part-time job or driver's license) = 22/33

P(driver's license and no part-time job) = 1/12

The probability of having a part-time job is given by the number of students with a part-time job divided by the total number of students.

P(part-time job) = Part-time job / Total number of students

= 8 / 12

= 2/3

The probability of not having a driver's license is given by the number of students without a driver's license divided by the total number of students.

P(no driver's license) = No driver's license / Total number of students

= 4 / 11

The probability of having both a part-time job and a driver's license is given by the number of students with both characteristics divided by the total number of students.

P(part-time job and driver's license) = Part-time job and driver's license / Total number of students = 6 / 12

= 1/2

The probability of having either a part-time job or a driver's license (or both) is given by the sum of the probabilities of having a part-time job and having a driver's license, minus the probability of having both.

P(part-time job or driver's license) = P(part-time job) + P(driver's license) - P(part-time job and driver's license)

P(part-time job or driver's license) = 8/12 + 7/11 - 6/12

= 22/33

The probability of having a driver's license and not having a part-time job is given by the number of students with a driver's license but without a part-time job divided by the total number of students.

P(driver's license and no part-time job) = (Driver's license - Part-time job and driver's license) / Total number of students

= (7 - 6) / 12

= 1/12

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To answer this question, simply plug in the values that represent the variables into the respective equations.

If z=5 and y =3, then 12z - 3y can be written as:

(12 × 5) - (3 × 3)

(60) - (9)

= 51

If z = 5, then the expression 4z -z can be written as:

(4 × 5) - 5

20-5

= 15

51 and 15 are your answers

Answer:

6000 Newtons

Step-by-step explanation:

just multiply 3000 by 2

The measure of the side of the cube is 4 centimeters, and its dimensions are 4 centimeters × 4 centimeters × 4 centimeters.

A cube is a solid object in three dimensions with six square faces that all have the same length of sides. Six square faces, eight vertices, and twelve edges make up the form. Since the 3D figure is a square with equal-length sides, the length, breadth, and height of a cube are all the same measurement. The edge, which is regarded as the bounding line of the edge, is the shared border between the faces of a cube. Each face is connected to four vertices and four edges, three vertices are connected to three edges and three faces, and two vertices and two edges are in contact to create the structure.

A cube's volume is the amount of space it takes up. Finding the cube of the cube's side length will provide the volume of the cube.

Cube volume equals a³, where a is the length of a cube's side.

In the question, we are asked to find the dimensions of the cube, given that it holds 64 cubic centimeters of water.

If the cube holds 64 cubic centimeters of water, then we know that the cube's volume is 64 cubic centimeters.

Assuming the length of the side of the cube to be centimeters, we can say that a³ = 64, knowing that a cube volume equals a³, where a is the length of a cube's side.

Thus, we have a³ = 64,

or, a = ∛64,

or, a = 4.

Thus, the measure of the side of the cube is 4 centimeters, and its dimensions are 4 centimeters × 4 centimeters × 4 centimeters.

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Answer: Actually, it's never true.

Step-by-step explanation:

A kite is a quadrilateral defined to have no pairs of parallel sides.

A rhombus is a quadrilateral that has two pairs.

HOPE THIS HELPS

Hence Option B is correct i.e. sometimes true.

A Rhombus is a quadrilateral. It is a special case of a parallelogram, whose all sides are equal and diagonals intersect each other at 90 degrees.

A Rhombus has following major properties:

1)The diagonals bisect each other at 90 degrees,

2)Opposite sides are parallel and equal and

3)Opposite angles are always equal.

A kite has only one pair of opposite equal angles and only adjacent sides are equal. a kite may or may not hold property no. 3.

Hence , Option B is true.

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Answer:

n=12

Step-by-step explanation:

sum of interior angles of polygon with n sides = (n-2)180

measure of an interior angle of a polygon times the number of sides (n) = sum of interior angles of polygon with n sides, therefore:

(n - 2)180 = 150n

180n - 360 = 150n

30n = 360

n = 360/30 = 12

(a)Prove  Let's start by considering the identity map I: V → V, which is also an isomorphism. The determinant of the identity map is det(I) = 1. Now, since T is an isomorphism, we have T⋅\(T^(-1\)) = I, where T^(-1) denotes the inverse of T.

Taking the determinant of both sides of the equation, we get:

det(T⋅\(T^(-1\)) = det(I)

Using the multiplicative property of determinants, we have:

\(det(T)*det(T^(-1)) = 1\)

Since det(I) = 1, we can substitute it in the equation. Thus, we have:

\(det(T)*det(T^(-1)) = det(I) = 1\)

Dividing both sides of the equation by det(T), we obtain:

\(det(T^(-1)) = 1/det(T)\)

Therefore, we have shown that \(det(T^(-1)) = (det(T))^(-1).\)

(b) To prove this statement, we'll show both directions:

(i) If T is an isomorphism, then det(T) ≠ 0:

Suppose T is an isomorphism. Since T is invertible, its determinant det(T) is nonzero. If det(T) = 0, then we would have \(det(T^(-1)) = (det(T))^(-1) = 1/0,\)which is undefined. This contradicts the fact that T^(-1) is also an invertible map. Hence, we conclude that if T is an isomorphism, det(T) ≠ 0.

(ii) If det(T) ≠ 0, then T is an isomorphism:

Suppose det(T) ≠ 0. We want to show that T is an isomorphism. Since det(T) ≠ 0, T is invertible. Let \(T^(-1)\) be the inverse of T. We have already shown in part (a) that \(det(T^(-1)) = (det(T))^(-1).\)

Since det(T) ≠ 0, we can conclude that \(det(T^(-1))\) ≠ 0. This implies that\(T^(-1)\)is also invertible, and therefore, T is an isomorphism.

Hence, we have shown that T is an isomorphism if and only if det(T) ≠ 0.

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Answer:

X < 7/2

Step-by-step explanation:

Move the variable to the left, separate into possible cases , solve, find the intersections, find the union, and then you get your solution.

Step-by-step explanation:

Given that:

|2x-7| = 7-2x

⇛2x-7 = 7-2x or -(7-2x)

since |x| = a ⇛ x = a or x = -a

⇛2x-7 = 7-2x or 2x-7 = 2x-7

Shift all variables on LHS and constant on RHS, changing it's sign.

⇛2x+2x = 7+7

Add the values on LHS and RHS.

⇛4x = 14

Shift the number 4 from LHS to RHS.

⇛x = 14/4

Write the fraction in lowest form by cancelling method.

⇛ x = {(14÷2)/(4÷2)}

⇛x = 7/2

There is no solution for negative value

x = 7/2

Please let me know if you have any other questions.

The length of the legs of the right triangle are 2.83 units.

A right tangle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the legs of the triangle can be found using trigonometric ratios.

Hence,

sin 45 = opposite / hypotenuse

sin 45 = a / 4

cross multiply

a = 4 × 0.70710678118

a = 2.83 units

Therefore,

cos 45 = b / 4

cross multiply

b = 0.70710678118 × 4

b = 2.82842712475

b = 2.83 units

Therefore, the legs are 2,83 units

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Answer:

y" = sec(x) · [sec²(x) + tan²(x)]

Step-by-step explanation:

Remember your Trig derivatives.

Derivative of sec(x) is sec(x)tan(x)

Derivative of tan(x) = sec²(x)

Product Rule:

f'(x)g(x) + f(x)g'(x)

Step 1: Find 1st derivative of sec(x) (Trig Rule)

y' = sec(x)tan(x)

Step 2: Find 2nd derivative (Product Rule and Trig Rule)

y" = sec(x)sec²(x) + sec(x)tan(x)tan(x)

y" = sec³(x) + sec(x)tan²(x)

y" = sec(x) · [sec²(x) + tan²(x)]

-7

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Answer:

The graph is moved to the left three spaces and up four spaces.

Step-by-step explanation:

The reason is if the graph were moved to the right three spaces, then the x+3 should be a x-3. Since it has a +4 on the outside, that means the y values are moving up four.

68.5% of Colton's gross pay is take-home pay. To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and then multiply by 100 to convert the resulting decimal to a percentage.

To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and multiply the resulting decimal by 100 to express it as a percentage. Colton's gross pay is $1421.50 and his net pay is $973.48. Dividing the net pay by the gross pay gives a result of 0.685, or 68.5% when converted to a percentage. This means that 68.5% of Colton's gross pay is take-home pay, or the amount of money that he receives after deductions are made. Therefore, Colton's take-home pay is $973.48, which is 68.5% of his gross pay.

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Given that pq=qr=rs=sp, what additional information is required to conclude that pqrs is a square?

In order to conclude that pqrs is a square, the additional information required is that the sides of the quadrilateral are perpendicular to each other (i.e. they form 90-degree angles).

We know that pq=qr=rs=sp, which means that all four sides of the quadrilateral are equal in length.

However, this information alone is not sufficient to conclude that pqrs is a square, as there are many other quadrilaterals that have all four sides equal in length.

For instance, a rectangle has all four sides equal in length, but its sides are not necessarily perpendicular to each other. Thus, we require the additional information that the sides of pqrs are perpendicular to each other in order to identify that pqrs is a square.

In conclusion, the additional information needed to conclude that pqrs is a square is that the sides of the quadrilateral are perpendicular to each other (i.e. they form 90-degree angles).

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Answer:

False

Step-by-step explanation:

Dividing integers is opposite operation of multiplication. But the rules for division of integers are same as multiplication rules. Though, it is not always necessary that the quotient will always be an integer.

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please give brainliest

Answer:

The correct answer is -$1,209.85-verified by Edg. Thank you.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

a university student is selecting courses for his next semester. he can choose from humanities courses and science courses. the number of ways in which he can  choose courses if or more must be humanities courses can be found using combinations

C(h, r) + C(h, r+1) + C(h, r+2) + ... + C(h, h)

To determine the number of ways a university student can choose courses for the next semester with a requirement of at least "r" humanities courses, we can use combinatorial techniques.

Let's assume there are "n" total courses available, "h" of which are humanities courses, and "s" of which are science courses.

The student needs to select "r" or more humanities courses. We can calculate the number of ways to choose "r" or more humanities courses by summing the combinations for "r" to "h" humanities courses.

The formula to calculate the number of ways to choose "k" items from a set of "n" items is given by the combination formula: C(n, k) = n! / (k! * (n - k)!)

Using this formula, the calculation for the number of ways to choose "r" or more humanities courses can be expressed as:

Number of ways = C(h, r) + C(h, r+1) + C(h, r+2) + ... + C(h, h)

Now, let's substitute the values and calculate the number of ways:

Number of ways = C(h, r) + C(h, r+1) + C(h, r+2) + ... + C(h, h)

In conclusion, the number of ways the university student can choose courses, with a requirement of at least "r" humanities courses, is obtained by summing the combinations for "r" to "h" humanities courses using the combination formula.

the number of ways in which he can  choose courses if or more must be humanities courses can be found using combinations

C(h, r) + C(h, r+1) + C(h, r+2) + ... + C(h, h)

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Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer:

A = 33 ft²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

Here b = 11 and h = 6 , then

A = \(\frac{1}{2}\) × 11 × 6 = 5.5 × 6 = 33 ft²

Answer:

Plot out the points of the function and see if it has a positive or negative slope

Step-by-step explanation:

Jordin after working for 23 hours and 15 minutes would be paid $302. 25

From the information given, we have that;

Let's convert the minutes to hour

60 minutes is equivalent to 1 hour

Then 15 minutes is equivalent = x hour

cross multiply

x = 15/ 60

x= 0. 25 hour

He worked = 23 + 0. 25 = 23.25 hours

Then,

$13. 00 = 1 hour

$x = 23. 25

cross multiply

x = 13 × 23. 25

x = $302. 25

Thus, Jordin after working for 23 hours and 15 minutes would be paid $302. 25

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