2a + 3a + 4a =5a -18

Help?

The system of equations has infinite solutions, both equations represent the same line.

Here we have the following system of equations:

-3x+6y=12

2y=x+4

And we want to solve this by substitution, first, we can rewrite the first equation as:

-3x + 3*(2y) = 12

Now we can substitute the second equation 2y = x + 4 in the parenthesis, we will get:

-3x + 3*(x + 4) = 12

Now we can solve this for x.

-3x + 3x + 12 = 12

12 = 12

So this is true for any value of x, which means that both equations represent the same line (thus the system has infinite solutions).

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Answer:

x=27

Step-by-step explanation:

Answer:

The answer would be 27

Step-by-step explanation:

Times three by nine to get the value of x.

a) The value of x from the right triangle is x = 10√2 units

b) The value of x from the right triangle is x = 9√2 units

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the side length of the triangle is AB

a)

The measure of side AB = 10 units

The measure of ∠ACB = 45°

From the trigonometric relations ,

sin θ = opposite / hypotenuse

sin 45° = 10 / x

Multiply by x on both sides , we get

x/√2 = 10

Multiply by √2 on both sides , we get

x = 10√2 units

b)

The measure of side AB = x units

The measure of ∠ACB = 45°

From the trigonometric relations ,

sin θ = opposite / hypotenuse

sin 45° = x / 18

Multiply by 18 on both sides , we get

18/√2 = x

Multiply by √2 on numerator and denominator , we get

x = 9√2 units

Hence , the measures of the triangle are solved

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The variance of the sample is 6561. The variance measures the spread or dispersion of the data points around the mean. In this case, it represents the average squared deviation from the mean of the 36 observations.

The variance of a sample can be calculated using the formula:

Variance = Standard Deviation^2

Given that the standard deviation of a sample of 36 observations is 81, we can square this value to find the variance.

Variance = 81^2 = 6561

Therefore, the variance of the sample is 6561. The variance measures the spread or dispersion of the data points around the mean. In this case, it represents the average squared deviation from the mean of the 36 observations.

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Answer:

(B). 50°

Step-by-step explanation:

(5x + 55)° = (2x + 100)°

5x + 55 = 2x + 100

5x - 2x = 100 - 55

3x = 45

x = 15

5(15) + 55 = 130°

m∠2 = 180° - 130° = 50°

The matching of the first row of expressions with the second row of expressions are;

1) 2√(3x²y) → x√(12y)

2) 2x√(6xy²) → y√(24x³)

3) 2y√(2x⁴) → x²√(8y²)

4) 3x²√(2y⁴) → xy√(18x²y²)

1) 2√(3x²y)

This can be broken down into the expression;

2x√(3y)

2) 2x√(6xy²)

This can broken down into;

2xy√(6x)

3) 2y√(2x⁴)

This can be simplified into;

2x²y√2

4) 3x²√(2y⁴)

This can be simplified into;

3x²y²√2

The second row of expressions are simplified as;

xy√(18x²y²)

= 3x²y²√2

x√(12y)

= 2x√3y

x²√(8y²)

= 2x²y√2

y√(24x³)

= 2xy√6x

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The value of p(a) is 0.5

Mutually exclusive events are those events that do not occur at the same time

Given,

The a and b are mutually exclusive events

P(a AND b)=0

P(a)=0.48

p(a or b)=0.98

We know that,

P(a or b)=P(a)+P(b)-P(a AND b)

P(a or b)=P(a)+P(b)-0

P(a or b)=P(a)+P(b)

P(a)=P(a or b)-P(b)

Substitute the given values

P(a)= 0.98-0.48

P(a)=0.5

Hence, the value of P(a) is 0.5

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Explanation

Remote interior angles are those that don't share a vertex or corner of a triangle with the exterior angle, in other words remote interior angles are the two interior angles that do not touch the exxterior angle

therefore, the answer

I hope this helps you

Answer:

\(a_{n}\) = - 5n - 2

Step-by-step explanation:

there is a common difference between consecutive terms , that is

a₂ - a₁ = - 12 - (- 7) = - 12 + 7 = - 5

a₃ - a₂ = - 17 - (- 12) = - 17 + 12 = - 5

a₄ - a₃ = - 22 - (- 17) = - 22 + 17 = - 5

a₅ - a₄ = - 27 - (- 22) = - 27 + 22 = - 5

this indicates the sequence is arithmetic with nth term

\(a_{n}\) = a₁ + d(n - 1)

a₁ is the first term and d the common difference

here a₁ = - 7 and d = - 5 , then

\(a_{n}\) = - 7 - 5(n - 1) = - 7 - 5n + 5 = - 5n - 2

Answer:

G=6

Step-by-step explanation:

Answer:

g = 6

Step-by-step explanation:

g/3 - 1 = 1

      +1    +1

g/3 = 2

(3)     (3)

g = 6

Answer:

Step-by-step explanation:

The factors of 42 are 1,2,3,6,7,14,21,42

The factors of 96 are 1,2,3,4,6,8,12,16,24,32,48,96

The Greatest Common Factor (GCF) for 42 and 96

(Notation Form) (42,96): is 6

6

the factors of 42 and 96 are 1,2,3,6,7, 14,21,42

1,2,3,4,6,8,12,16,24,32,48,96

Answer:

37.3°

Step-by-step explanation:

sin β = \(\frac{20}{33}\) ⇒ β = arcsin \(\frac{20}{33}\) = 37.3°

Answer:

12s +3j= 85.95

15s +2j= 93.55

Step-by-step explanation:

First, define the variables:

Let the cost of a shirt be $s and the cost of a pair of jeans be $j.

From the first sentence:

12s +3j= 85.95 -----(1)

From the second sentence:

15s +2j= 93.55 -----(2)

Answer:

130,000

Step-by-step explanation:

Answer:oh hey yulissa ✌️

Step-by-step explanation:

Null hypothesis: the mean entry-level salary of an employee and is not significantly less than that of professionals in the company.

Alternative hypothesis: the mean entry-level salary of an employee is significantly less than that of professionals in the company.

A hypothesis in a study is a statement that is made to explain a given observation without prior testing to prove or disprove the statement.

The two types of hypothesis are:

The null hypothesis states that there is no significant difference between two variables while the alternative hypothesis states that there is a significant difference between the variables.

For the given observation:

Null hypothesis: the mean entry-level salary of an employee and is not significantly less than that of professionals in the company.

Alternative hypothesis: the mean entry-level salary of an employee is significantly less than that of professionals in the company.

In conclusion, the null hypothesis is the hypothesis of no significant difference.

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Answer:

2

Step-by-step explanation:

Formula for

Lower quartile (Q1)

= N + 1 multiplied by (1) divided by (4)

It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.

For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.

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Answer:

i'm not sure what you need help with.

Step-by-step explanation:

Answer:

A=2πrh+2πr2=2·π·3·2+2·π·32≈94.24778

Step-by-step explanation:

its a lot and i hope this is the answer

\(\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=2 \end{cases}\implies SA=2\pi (3)(2+3) \\\\\\ SA=6\pi (5)\implies SA=30\pi \implies SA\approx 94.2~ft^2\)

Step-by-step explanation:

Use the Distributive Property:

\(-2(5x-1)+7(5x-1)-3(5x+1)\)

\(-10x+2+35x-7+15x-3\)

P is correct.

Simplify:

\(40x-8\)

T is correct using FOIL or distribution.

Use the FOIL method to simplify:

Use 5x-1 then multiply with -2, 7, and -3.

Note: With -3, -5x + 1 is in the parenthesis, we need to change -3 to 3.

Changing -3 to 3 will equal the distribution of -3(-5x+1).

Our expression: \((5x-1)(-2+7+3)\)

S is correct.

The correct statements are: B and C.

What is the linear functions?

linear functions, specifically comparing their rate of change and y-intercepts.

To compare the properties of Function A and Function B, we need to first determine the equations for both functions.

From the table, we can see that Function A has a rate of change of 3 and a y-intercept of 4. Therefore, the equation for Function A is y = 3x + 4.

To find the equation for Function B, we can use two of the given points to calculate its rate of change and y-intercept. Using the points (1, 2) and (4, 14), we get:

rate of change = (14 - 2) / (4 - 1) = 4

y-intercept = 2 - 4(1) = -2

Therefore, the equation for Function B is y = 4x - 2.

Now we can compare the properties of the two functions:

A. The rate of change of Function A is greater than the rate of change of Function B. False, since the rate of change of Function A is 3, which is less than the rate of change of Function B, which is 4.

B. The rate of change of Function A is less than the rate of change of Function B. True, since the rate of change of Function A is 3, which is less than the rate of change of Function B, which is 4.

C. The y-intercept of Function A is greater than the y-intercept of Function B. True, since the y-intercept of Function A is 4, which is greater than the y-intercept of Function B, which is -2.

D. The y-intercept of Function A is equal to the y-intercept of Function B. False, since the y-intercept of Function A is 4 and the y-intercept of Function B is -2.

E. The y-intercept of Function A is less than the y-intercept of Function B. False, since the y-intercept of Function A is 4, which is greater than the y-intercept of Function B, which is -2.

F. The rate of change of Function A is equal to the rate of change of Function B. False, since the rate of change of Function A is 3 and the rate of change of Function B is 4.

Hence, the correct statements are: B and C.

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Answer:

The points A , B and C lie on the line m . They are collinear.

The points D , B and E lie on the line n . They are collinear.

There is no line that goes through all three points A , B and D . So, they are not collinear.

The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.

The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.

Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):

275 liters / 1000 = 0.275 cubic meters

Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:

∛(0.275) ≈ 0.640

Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.

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Matrix B is obtained from matrix A by three row-swaps, and matrix C is obtained from A by dividing a row of A by 3. Suppose det A=5.then  det B= -5, det C= 5/3 is a true statement

What is a matrix simple definition?

matrix, a set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix. Matrices have wide applications in engineering, physics, economics, and statistics as well as in various branches of mathematics.

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Answer:

$1.935

Step-by-step explanation:

As the store is offering a 15% discount, you have to calculate the 15% of the price of the game app to find the amount of the discount:

Price of the game app= 12.90

12.90*15%=1.935

According to this, the answer is that the amount of the discount if you buy the game app during the sale is $1.935 and you would have to pay: 12.90-1.935= $10.965.

Answer:

0.1759

Step-by-step explanation:

The student's heights between 93 centimeters and 100.5 centimeters will be 0.17586.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

A bunch of primary school understudy levels is regularly circulated with a mean of 105 centimeters and a standard deviation of 5 centimeters.

The student's heights between 93 centimeters and 100.5 centimeters will be given as,

z = (93 - 105) / 5

z = -2.4

z = (100.5 - 105) / 5

z = -0.9

Then the proportion is given as,

P(93 < x < 100.5) = P(-2.4 < z < -0.9)

P(93 < x < 100.5) = 0.17586

The student's heights between 93 centimeters and 100.5 centimeters will be 0.17586.

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3⅕ - ¼x = -⅘

-¼x = -⅘ - 3⅕

-¼x = -4 / · (-4)

x = 16

Since I like hot weather, I would rather go to Rome with a temperature 27-degree c than to Majorca with an average temperature of 80F.

The temperature is converted from Celsius to Fahrenheit using this formula. Scales of temperature offer a means of determining how warm or frigid a body is. Temperature scales include Celsius and Fahrenheit. The Formula of celsius to Farhenhite is  F= 9/5×C+ 32.

To compare the temperatures of both the places, we will first convert them to similar Units so that the comparison becomes easy. We will Change both the units to the Farhenhite unit as follows.

The temperature of Rome:

F = 9/5×27+32

F= 80.6

Therefore the temperature of Majorca is 80F and that of Rome is 80.6. More temperature means more hot weather. Therefore Roma will be hotter in August than Majorca.

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Answer:

The maintenance electrician takes 287.555555566667 hours to to rewire all the motors

Step-by-step explanation:

1. Calculate all of the minutes for all the numbers.

It takes you 26.6666667 minutes to rewire 2/3 of a motor.

It takes you 160 minutes to rewire 4 motors.

It takes you 266.666667 to rewire 6 2/3 motors

It takes you 7,200 minutes to rewire 180 motors

It takes you 9,600 minutes to rewire 240 motors

2. Add all of the minutes together.

26.666667 + 160 + 266.666667 + 7,200 + 9,600 = 17253.333334

It takes you 17253.333334 minutes to rewire 431.333333 motors

3. Convert minutes to hours

17253.333334/60 = 287.555555566667

It takes you 287.555555566667 hours to rewire all the motors