Please help will mark brain!

Answer:

y=3/2x-4

This is the answer.

Given :-

A line having a slope of 3/2 passes through (2,-1) .

To Find :-

The equation of the line .

Answer :-

According to the question ,

m = 3/2

Point = (2,-1)

We know Point slope form of the line as ,

y - y¡ = m ( x - x ¡ )

Substitute ,

y - (-1) = 3/2 ( x - 2 )

y + 1 = 3/2x - 3/2*2

y +1 = 3/2x - 3

2( y +1) = 3/2x *2 - 3*2

2y + 2 = 3x - 6

3x -2y -8 = 0

Answer:

no

Step-by-step explanation:

w would have to be bigger or greater than 27. 1 is less than

Answer: yes, 1> 27 is an inequality. This states 1 is greater than 27, which is incorrect the correct solution would be w<27.

hope this helps :)

The graph G represents the solution set for 8x + 5y ≤ 100.

What is Solution set ?

A solution set in mathematics is the collection of values that satisfy a particular set of equations or inequalities. The set of solutions to a constrained optimization problem represents the viable zone.

We have, 8x + 5y ≤ 100

Let's assume it as 8x + 5y = 100,

when x = 0,

   5y = 100

    y = 20

when y = 0,

   8x = 100

    x = 12.5

So, The line touches x-axis and y-axis at 12.5 and 20.

Now, Putting (0, 0) in  8x + 5y ≤ 100,

We get, 0 ≤ 100 which is true.

Hence, The region below the line should be the solution set for 8x + 5y ≤ 100.

So, Graph G represents the solution set for 8x + 5y ≤ 100.

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45 feet far apart are Mrs. Lester and Alvin.

What is Pythagoras' theorem?

A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Here, we have

Given: Mrs. Lester is teaching a 5th-grade class. She is standing 36 feet in front of Valeria. Alvin is sitting 27 feet to Valeria's right.

By using Pythagoras' theorem

c² = a² + b²

c² = (36)² + (27)²

c² = 1296 + 729

c² = 2025

c = 45

Hence, 45 feet far apart are Mrs. Lester and Alvin.

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Answer:

if two angles are supplementary angles, then the sum of their angle measures is equal to 180°.

Step-by-step explanation:

the if p statement is called the hypothesis of the conditional statement.

the then q statement of the conditional statement is called the conclusion.

Answer:

b

Step-by-step explanation:

alotta ppl go to the mall cuz they like to shop there, so if u ask ppl at the mall their fav place to shop, many will say "the mall"

Answer:

favorite place to shop i believe

Step-by-step explanation:

I'm sure it become a biased situation when you ask an answer similar to the surroundings.

To use the quadratic formula, we need to identify the values of a, b, and c.

1. In this case, the equation is 4x² - 3x - 8 = 0, so a = 4, b = -3, and c = -8.

2. x = (-b ±√(b² - 4ac))/2a.

3.  x = (3 ±√137)/8.

The Quadratic Formula is a mathematical equation used to solve second-degree equations.

To use the quadratic formula, we need to identify the values of a, b, and c in the equation ax² + bx + c = 0.

In this case, the equation is

4x² - 3x - 8 = 0,

so a = 4, b = -3, and c = -8.

Once the values of a, b, and c are known, we can substitute them into the Quadratic Formula:

x = (-b ±√(b² - 4ac))/2a.

In this equation, a = 4, b = -3, and c = -8, so the equation becomes

x = (-(-3) ±√((-3)² - 4(4)(-8)))/2(4).

Simplifying, we get x = (3 ±√(9 + 128))/8.

Finally, solving for x yields x = (3 ±√137)/8.

Therefore, the solution to the equation is

x = (3 ±√137)/8.

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Answer:

the height is 0.6367 so the surface area is 68.55

Surface area is the total area of an object's outer facing surfaces. The total surface area is calculated by adding all the areas on the surface: the areas of the object's base, top, and lateral surfaces (sides).

You can use r2 to replace B (area of the base), which is a type of prism with a circular base, and 2r to replace p. (perimeter of the base). The surface area of a cylinder is calculated as SA=2r2+2rh.

Therefore,

The cylinder's surface area is 264 cm2 (approximately)

3 unit is the cylinder's radius.

The cylinder's height is 18 units

To locate:

Area of contact

Having said that,

Cylinder surface area = 2r(h + r)

replacing the necessary values,

Surface area is equal to

2 x 22 /7 x 3 × 3( Plus 4)

Surface area equals 264/7 (7)

Surface area equals 1848/7

264 cm2 is the surface area.

The cylinder's surface area is 264 cm2 (about).

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Given that,

Length of a chord = 28 inches

Radius of the circle = 50 inches

To find,

The distance the chord from the center of the circle.

Solution,

Let the distance from the chord to the centre of circle is x.

It is denoted by OM.

Using Pythagoras theorem to find it.

\(50^2=28^2+x^2\\\\x=\sqrt{50^2-28^2} \\\\x=41.42\ \text{inches}\)

So, the distance from the chord to the centre of circle 41.42 inches

The rectangular coordinate form of a complex number is represented by the formula z=a+bi. The real axis is the horizontal one, and the imaginary axis is the vertical one. In terms of r and, where r is the vector's length and is the angle it makes with the real axis, we determine the real and complex components.

Rectangular form;-

Rectangular form, on the other hand, is where a complex number is denoted by its respective horizontal and vertical components. In essence, the angled vector is taken to be the hypotenuse of a right triangle, described by the lengths of the adjacent and opposite sides.

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Answer:

150-200

Step-by-step explanation:

Answer:

y=720

Step-by-step explanation:

Multiply both sides of the equation by −15.

−675+1y=45

Add 675 to both sides.

1y=45+675

1y=720

--   -----

1      1

y=720

Answer:

Step-by-step explanation:

24:8

The solution of the inequality that determines how far Dev can travel over the weekend is -

x ≤ 400 miles.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Dave who is planning a car trip for weekend.

Assume that [x] represents the number of miles Dev can travel.

We can write the inequality as -

18 - 0.04x ≤ 2

0.04x ≤ 16

x ≤ 400 miles

Therefore, the solution of the inequality that determines how far Dev can travel over the weekend is -

x ≤ 400 miles.

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The trend projection for time period 18 is 197.6. The correct option is B

A mathematical equation used to represent the trend or pattern seen in a time series of data is called a linear trend expression, sometimes referred to as a linear trend model.

To find the trend projection for time period 18 using the given linear trend expression, we substitute t = 18 into the equation:

Yt = 129.2 + 3.8t

Y18 = 129.2 + 3.8 * 18

Y18 = 129.2 + 68.4

Y18 = 197.6

Therefore, the trend projection for time period 18 is 197.6.

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Answer:

a x 10b or 2.02 x 10³

Step-by-step explanation:

Have a great day!

Answer: k = 84

Step-by-step explanation:

0.12k = 10.08

k = 84                       Divide 0.12 to both sides

Answer:

k=84

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

First I found the area of the triangle on the right

A = bh/2

A = (9)(4.5) / 2

A = 20.25 ft^2

Next, the area of the rectangle in the middle

A = lw

A = (7.5)(9)

A = 67.5 ft^2

And now the area of the right triangle on the left

A = bh/2

A = (5)(9) / 2

A = 22.5 ft^2

Add em all up : 20.25 + 67.5 + 22.5 = 110.25 ft^2

Hope this helps!

Answer: 78,000 units

Step-by-step explanation:

Equivalent units of production for conversion costs = Units completed and transferred out + Equivalent unit of ending units

Units completed and transferred out = Units started - Ending units

= 90,000 - 20,000

= 70,000 units

Equivalent unit of ending units = 20,000 * 40%

= 8,000 units

Equivalent units of production for conversion costs = 70,000 + 8,000

= 78,000 units

well, let me put it this way.

\(r^2=x^2+y^2\qquad \qquad \qquad \theta =tan^{-1}\left( \cfrac{y}{x} \right) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (\stackrel{x}{\sqrt{3}}~~,~~\stackrel{y}{\sqrt{3}})\qquad \qquad \begin{array}{llll} \stackrel{\textit{is assuming that}}{r^2=(\sqrt{3})^2+(\sqrt{3})^2}\implies r=\sqrt{(\sqrt{3})^2+(\sqrt{3})^2}\\\\ \stackrel{\textit{is also assuming that}}{\theta =tan^{-1}\left( \cfrac{\sqrt{3}}{\sqrt{3}} \right)}\implies \theta =tan^{-1}(1)\implies \theta =\cfrac{\pi }{4} \end{array}\)

The regression line is the line that minimizes error in predicting scores on the dependent variable.

Regression analysis is a statistical technique used to model the relationship between a dependent variable and one or more independent variables. The regression line is a straight line that best fits the data and is used to make predictions about the dependent variable based on the values of the independent variable(s).

The line is called the regression line because it is used to estimate the regression equation, which represents the relationship between the variables.

The regression line is determined by minimizing the sum of the squared differences between the observed values of the dependent variable and the predicted values of the dependent variable based on the independent variable(s). In other words, the line is chosen to minimize the error in predicting the values of the dependent variable.

This is why the regression line is also known as the line of best fit or the least squares line.

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The population mean and  population standard deviation for the given sample data from a normal population is  10 and 3.46 respectively.

Sample data is equal to,

10, 8, 12, 15, 13, 11, 6, 5

The point estimate of the population mean can be calculated by finding the sample mean,

sample mean 'x' = (10 + 8 + 12 + 15 + 13 + 11 + 6 + 5) / 8

                           = 10

The point estimate of the population mean is 10.

The point estimate of the population standard deviation can be calculated by finding the sample standard deviation,

Sample variance

= [ Σ ( xi - x )^2 / ( n - 1 ) ]

= [(10 - 10)^2 + (8 - 10)^2 + (12 - 10)^2 + (15 - 10)^2 + (13 - 10)^2 + (11 - 10)^2 + (6 - 10)^2 + (5 - 10)^2] / (8 - 1)

= 0 + 4 + 4 + 25 + 9+ 1 + 16 + 25 / 7

= 84/7

=12

⇒Sample standard deviation = √(sample variance)

⇒Sample standard deviation= √(12)

⇒Sample standard deviation≈ 3.46

The point estimate of the population standard deviation is approximately 3.46.

Therefore, the population mean and the population standard deviation is equals to 10 and 3.46 respectively.

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Step-by-step explanation:

hope you can understand

Answer: 00000

Step-by-step explanation:

If the radio active isotope has the half life of 24100 years, then the initial quantity is 2.16 grams

The half life in years = 24100

Consider the quantity of the radio active isotope remaining

y = \(Ce^{kt}\)

When t = 1000 the y = 1.2

y = C/2 when t = 1599

Substitute the values in the equation

C/2 = \(Ce^{24100k}\)

Cancel the C in both side

1/2 = \(e^{24100k}\)

Here we have to apply ln to eliminate the e terms

ln (1/2) = 24100k

k = ln(1/2) / 24100

k = -2.87× 10^-5

To find the initial value we have to substitute the value of k and y in the equation

1.2 = Ce^{1000 ×  -2.87× 10^-5}

C = 1.2 / e^(-0.0287)

C = 2.16 gram

Hence, the initial quantity of the radioactive isotope is 2.16 gram

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(-8x-104=6x-14) is equivalent to the given equation (-8(x+13)=2(x-7)+4x).Option C is correct.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given equation;

⇒-8(x+13)=2(x-7)+4x

⇒-8x-13×8 = 2x-2×7+4x

⇒-8x-104=2x-14+4x

⇒-8x-104=6x-14

(-8x-104=6x-14) is equivalent to the given equation (-8(x+13)=2(x-7)+4x).

Hence, option C is correct.

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Answer:

the bigger rectangle is 63 cm long