Can someone help plz

The solution of the linear equation  is determined as x = -4.

The solution of the linear equation is calculated by applying the following method as follows;

The given linear equation;

2/x+3 - 1/x = -4/x² +3x

We can start by simplifying the equation and getting rid of the fractions.

Multiplying every term by x will help us achieve that:

2 + 3x - 1 = -4/x + 3x²

Simplifying further:

2 + 3x - 1 = (-4 + 3x²) / x

Combining like terms:

3x + 1 = (-4 + 3x²) / x

(x)(3x + 1) = -4 + 3x²

3x² + x = -4 + 3x²

We can subtract 3x² from both sides:

x = -4

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Answer:

1. False

2. True

3. True

4. True

5. False

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. False   3/10 x 5 = 15/50 not 12/50

2. True    1/2 x 2 = 6/12

3. True    5/6 x 2 = 10/12

4. True    5/7 x 3 = 15/21

5. False   3/8 x 2 = 6/16 not 6/15

Calculating the volume of a rectangular prism is a simple process that involves multiplying the length, width, and height.

Calculating the volume of a rectangular prism is a straightforward process. A rectangular prism is a three-dimensional shape that has a length, width, and height. To find its volume, you simply multiply the length by the width by the height. The formula for calculating the volume of a rectangular prism is:
Volume = length x width x height
For example, if a rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm, its volume would be:
Volume = 5 cm x 4 cm x 3 cm
Volume = 60 cubic centimeters (cm³)
It's important to ensure that all measurements are in the same unit before calculating the volume. For instance, if the length is in meters and the width and height are in centimeters, you would need to convert the length to centimeters to ensure that all measurements are in the same unit before calculating the volume.
In conclusion, calculating the volume of a rectangular prism is a simple process that involves multiplying the length, width, and height. This formula can be used for any rectangular prism regardless of its size or shape.

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Answer:

17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

The two "|"s tell you that you are finding the absolute value.

So, think of it as: -17 is 17 times away from 0--

Simple way to see absolute value:

Just take the positive version of a number (works on both positive or negative values).

Hope this helped !

Answer: 6 units

Step-by-step explanation:

Answer: 2/3

Step-by-step explanation: since there are 3 colors black red and white black and red make 2 while white is just one so your probablity of choosing white is 2/3.

Answer:

64 3/4

Step-by-step explanation:

According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.

To find the wide variety of girl population, we will subtract the quantity of male population from the full population.

Total population = 88,51,84,692

Number of male = 45,40,34,570

Number of female = Total population - Number of male

= 88,51,84,692 - 45,40,34,570

= 43,11,50,122

Therefore, the number of female population is 43,11,50,122.

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Answer:

45/49

Step-by-step explanation:

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

9/14 * 10/7 = 90/98

divide the numerator and the denominator by 2.

90 * 2 = 45

98 * 2 = 49

45/49

Answer:

See below for proof

Step-by-step explanation:

\(\displaystyle \frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{(1-\cos x)(1+\cos x)}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{1-\cos^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{\sin^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{1+\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\frac{1}{\sin x}+\frac{\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\csc x+\cot x\)

The solution is:

⇒ 6b = 95.94   (equation to determine cost of one box)

cost of one box 'b' = $`15.99

⇒ 12t = 95.94   (equation to determine cost of per tile)

cost of one tile t = $0.7995.

Given :

Jorge bought a crate of floor tiles for $95.94.

The crate had 6 boxes of floor tiles.

Each box contained 20 floor tiles .

To Find :

Write and solve equation to determine the cost per box'b'.

Write and solve a second equation to determine the cost per tile't'

Solution :

Cost of one box = b

There are 6 boxes

So, cost of 6 boxes = $  6b

Since Jorge bought 1 crate( = 6 boxes) of cost $95.94

⇒     (equation to determine cost of one box)

⇒6b = 95.94

⇒b =15.99

Thus cost of one box = $`15.99

Since 1 box 20 floor tiles

So, 6 boxes (=1 crate) contain tiles = 6*20 = 120 tiles

We are given that cost of 1 crate( = 6 boxes = 120 tiles) is $95.94

Cost of one tile = t

Cost of 120 tiles = $120t

⇒ (equation to determine cost of per tile)

⇒12t = 95.94

⇒t = 0.7995.

Thus cost of one tile t = $0.7995.

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Inverse of function f(x) = 7x + 6 is

Given,

f(x) = 7x + 6

Now,

Put y in place of f(x)

y = 7x + 6

Now interchange the variables,

x = 7y + 6

Solve for variable y,

y = x/7 - 6/7

Replace y with f-¹(x),

f-¹(x) = x/7 - 6/7

Thus the inverse of the function is obtained to be x/7 - 6/7 .

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The simultaneous equations 2x + y = 6 and x + y/2 = 3 are dependent because both equations are the same and they have an infinite number of solutions that satisfy both equations.

A system of simultaneous equations is called dependent if it has infinitely many solutions. In other words, one equation in the system can be obtained by adding or subtracting multiples of the other equation(s), or if all the equations represent the same line or plane in higher dimension.

We can write the equations as:

2x + y = 6...(1)

x + y/2 = 3...(2)

equation (2) can be rewritten as follows:

(2x + y)/2 = 3 {simplifying the left hand side to a single denominator}

2x + y = 2 × 3 {cross multiplication}

2x + y = 6

We can observe that equations (1) and (2) are the same. Any value of x and y that satisfies the equation 2x + y = 6 will also satisfy the second equation, x + y/2 = 3.

In conclusion, the simultaneous equations 2x + y = 6 and x + y/2 = 3 are dependent because both equations are the same, hence they have an infinite number of solutions that satisfy both equations.

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Answer: x=10

Step-by-step explanation:

Find AD by making a 90 degree triangle with segments AB and BD

a=6 b= 8 c= c

\(a^{2}+b^{2} =c^{2}\)

\(6^{2} +8^{2} =c^{2} \\36+64=c^{2} \\100=c^{2} \\10=c\)

AD is = to 10- AD is also the radius of the circle. since x is also the radius of the circle, it is also 10

Answer:

c. hhhhhhhhhhhhuhuuuuuuuuuuuuuuuuuuuuu

Answer:

(d) -12

Step-by-step explanation:

3a = _____

a = -4

3(-4) = ___

3(-4) = -12

The answer is (d) -12

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

R is the midpoint of KL ;

Thus R bisects KL , which means :

\(KR = RL\)

So :

\(7x - 10 = 3x + 34\)

Add sides 10

\(7x - 10 + 10 = 3x + 34 + 10 \\ \)

\(7x = 3x + 44\)

Subtract sides 3x

\( - 3x + 7x = - 3x + 3x + 44\)

\(4x = 44\)

Divide sides by 4

\( \frac{4x}{4} = \frac{44}{4} \\ \)

\(x = 11\)

_________________________________

\(KL = KR + RL\)

\(KL = (7x - 10) + (3x + 34)\)

\(KL = (7 \times 11 - 10) + (3 \times 11 + 34) \\ \)

\(KL = (77 - 10) + (33 + 34)\)

\(KL = (67) + (67)\)

\(KL = 60 + 7 + 60 + 7\)

\(KL = 60 + 60 + 7 + 7\)

\(KL = 120 + 14\)

\(KL = 134\)

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Answer:

answer is E

Step-by-step explanation:

4 x 12 i= 48

square root of 4=2

12= 4x3

square root of 4 again = 2

2x2 =4

so left with 4 square root 3

The equivalent expressions are (a) \(4\sqrt 3 = \sqrt{24} \cdot \sqrt{2}\),  (d) \(4\sqrt 3 = \sqrt{12} \cdot \sqrt{4}\) and (e) \(4\sqrt 3 = \sqrt{48}\)

Equivalent expressions are expressions that have equal values

The expression is given as:

\(4\sqrt 3\)

Express 4 as the square root of 16

\(4\sqrt 3 = \sqrt{16} \times \sqrt 3\)

Combine the roots

\(4\sqrt 3 = \sqrt{16\times 3}\)

\(4\sqrt 3 = \sqrt{48}\)

Express 48 as the product of 12 and 4

\(4\sqrt 3 = \sqrt{12 \cdot 4}\)

Split, into factors

\(4\sqrt 3 = \sqrt{12} \cdot \sqrt{4}\)

Express 48 as the product of 24 and 2 in \(4\sqrt 3 = \sqrt{48}\)

\(4\sqrt 3 = \sqrt{24 \cdot 2}\)

Split

\(4\sqrt 3 = \sqrt{24} \cdot \sqrt{2}\)

Hence, the equivalent expressions are (a), (d) and (e)

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the probability of event B happening is 0.50 or 50%. This means that the occurrence of event A has no impact on the likelihood of event B happening, and vice versa.

How to solve the question?

If A and B are independent events, then the occurrence of A does not affect the probability of B happening. Mathematically, this can be written as P(B|A) = P(B), where P(B|A) represents the conditional probability of B given that A has occurred.

Using the formula for the probability of the intersection of two events, we have:

P(A AND B) = P(A) * P(B|A)

Since A and B are independent, we can substitute P(B|A) with P(B):

0.30 = 0.60 * P(B)

Solving for P(B), we get:

P(B) = 0.30 / 0.60 = 0.50

Therefore, the probability of event B happening is 0.50 or 50%. This means that the occurrence of event A has no impact on the likelihood of event B happening, and vice versa. It's important to note that independence is a key assumption when using the multiplication rule to calculate the probability of the intersection of two events. If the events are not independent, this rule cannot be used, and other methods such as the addition rule or Bayes' theorem must be used to calculate probabilities.

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Answer:

1 row with 36 rocks in them

2 rows with 18 rocks in them

3 rows with 12 rocks in them

4 rows with 9 rocks in them

6 rows and 6 rocks in each one

9 rows with 4 rocks in them

12 rows with 3 rocks in them

18 rows with 2 rocks in them

36 rows with 1 rock in them

Step-by-step explanation:

Just find what can be multiplied to 36 and you get your answer! (without a decimal)

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

√(a² + b²)²  - 4a²b²cos²θ is the product of the lengths of the two diagonals is given by the expression.

What is a mathematical expression?

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. This mathematical operation may be addition, subtraction, multiplication, or division.

                                An expression's structure is as follows: Number/variable, Math Operator, Number/Variable is an expression.

we have AB as a, AD as b and the angle between them is theta.

So using the cosine rule, we have

  BD = √a² + b² - 2abcosθ

So now consider the triangle ABC

Here AB is a, BC is b and the angle is 180-theta

So using cosine rule, we get AC as

   AC = √a² + b² - 2abcosθ( 180 - θ )

    AC = √a² + b² - 2ab(-cosθ )

    AC = √a² + b² - 2abcosθ

Now we have the two diagonals AC and BD. So multiplying, we get

 AC × BD = √a² + b² + 2abcosθ × √a² + b² - 2abcosθ

Simplifying, we get

AC × BD = √(a² + b² + 2abcosθ) × (√a² + b² - 2abcosθ)

AC × BD = √(a² + b²)² - (2abcosθ)²

AC × BD = √(a² + b²)²  - 4a²b²cos²θ

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Answer:

No -_-

Step-by-step explanation:

wot why??- 0,0

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An equation that could be used to determine M, the unknown side length of the logo is X = (36/5) x M

Let's assume that the unknown side length of the logo is 'M'. The logo is a rectangle, and the area of a rectangle is given by multiplying its length and width. Since we know the length of the logo is 7(1)/(5) feet, we can write the equation:

A = L x W

where A is the area of the logo, L is the length of the logo, and W is the width of the logo.

Substituting the given values, we get:

A = (7(1)/(5)) x M

or

A = (36/5) x M

Now, we know that the area of the logo is exactly the maximum area allowed by the building owner. Let's assume this maximum area is 'X'. So, we can write another equation:

A = X

Combining both equations, we get:

X = (36/5) x M

This is the required equation that could be used to determine the unknown side length 'M' of the logo if we know the maximum area allowed by the building owner 'X'.

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The new length of a door would be 72 unit.

SInce proportion is a fraction of a total amount, and the measures are related using a rule of three.

Let we have X : 64 = 9 : 8

Then, X/64 = 9/8

Multiplying both sides by 64 cancels on the  (9/8) × 64

X = (9/8) × 64

Then solving for X ;

X = 64 × (9/8)X = 72

72 : 64 = 9 : 8

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Answer:

x = 6√2

Step-by-step explanation:

It is a 45°45°90° triangle so you can use the ratio.

x : x√2

x = 6√2

The length of each side of the square is 16 cm, the perimeter is 64 cm, and the area is 256 cm^2.

Let's solve the problem step by step. We have a square ABCD, and we need to find the length of its sides when the diagonal is 16√2 cm long.

In a square, the diagonal forms a right triangle with the sides. The sides of a square are equal in length, so let's assume the length of one side of the square is 'x' cm.

Using the Pythagorean theorem, we can find the relationship between the side length and the diagonal:

x^2 + x^2 = (16√2)^2

2x^2 = 512

Dividing both sides by 2, we have:

x^2 = 256

Taking the square root of both sides:

x = √256

x = 16 cm

So, the length of each side of the square is 16 cm.

To find the perimeter of the square, we simply multiply the length of one side by 4 since all sides are equal:

Perimeter = 4 * 16 cm = 64 cm

To find the area of the square, we square the length of one side:

Area = (16 cm)^2 = 256 cm^2

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Note the complete question is:

Find the length of side of square ABCD when diagonal is 16√2 cm long. Also find the perimeter and area of the square?

The distance will be in the decimal form is :41.34

Consider the triangle :

Where “a” is the perpendicular,

“b” is the base,

“c” is the hypotenuse.

According to the definition, the Pythagoras Theorem formula is given as:

\(Hypotenuse^2 = Perpendicular^2 + Base^2\)

\(c^2 = a^2 + b^2\)

We have the points are:

15,-17 and -20, -5

To find the distance between them.

The distance of x- axis is:

15 - (-20)

= 15 + 20

= 35

The distance of y- axis is:

|17 - 5| = |-22| = 22

We can now use the Pythagorean theorem (a²+b²=c²) with our imaginary triangle:

\(x^2+y^2=(distance)^2\)

\(35^2+22^2=distance^2\)

\(1709= distance^2\\Distance = \sqrt{1709}\)

In decimal form the distance would be around 41.34.

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The probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 8/25 or 0.32 (rounded to the nearest millionth).

1. Calculate the total number of students on the Student Government Board by summing up the numbers in the table:

  Total Students = 2 + 2 + 2 + 4 + 0 + 3 + 4 + 2 = 19

2. Calculate the total number of graduate students on the Student Government Board:

  Total Graduate Students = 2 + 0 = 2

3. Calculate the total number of students living in on-campus housing:

  Total On-Campus Housing = 2 + 2 + 0 + 4 + 2 = 10

4. Calculate the probability of selecting a graduate student from the Student Government Board by dividing the total number of graduate students by the total number of students:

  Probability of Graduate Student = Total Graduate Students / Total Students = 2 / 19

5. Calculate the probability of selecting a student living in on-campus housing by dividing the total number of students in on-campus housing by the total number of students:

  Probability of On-Campus Housing = Total On-Campus Housing / Total Students = 10 / 19

6. Calculate the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing by summing up the probabilities from steps 4 and 5:

  Probability = Probability of Graduate Student + Probability of On-Campus Housing = 2 / 19 + 10 / 19

7. Simplify the fraction if necessary. In this case, the fraction cannot be simplified further, so the final probability is 2 / 19 + 10 / 19 = 12 / 19.

8. Convert the fraction to a decimal by dividing the numerator by the denominator: 12 / 19 ≈ 0.631578947, which rounds to 0.632 (rounded to the nearest thousandth).

9. Finally, express the probability as a fraction in lowest terms: 12 / 19 is already in lowest terms.

Therefore, the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 12/19 or approximately 0.632 (rounded to the nearest thousandth).

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