Find the value of x so that line m is parallel to line l.

Answer:

12.

Step-by-step explanation:

y /x = 6/8 = 3/4

y/x = 18/24 = 3/4

The relation is y = 3/4 x.

So, the missing value is 16 * 3/4

= 12.

The inequalities which shows the closest whole number range for :

a) y = √74 is 8 < y < 9.

b)  z = ∛74  is 4 < z < 5.

What is an mathematical expression?

Expression in mathematics is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

it is given that for x = √28 the value of x ranges between 5 and 6 that is 5 < x < 6  because square root of 28 is approximately 5.29 which  is less than 6 and greater than 5.

a)  Now, for y = √74 :

the square root of 74 is approximately 8.6 which  is less than 9 and greater than 8 that is the value of y ranges between 8 and 9 that is :

8 < y < 9.

b) Now, for z = ∛74 :

the cube root of 74 is approximately 4.19 which  is less than 5 and greater than 4 that is the value of z ranges between 4 and 5 that is :

4 < z < 5.

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The value of x for log (5-2 x)=0 is 2.

It is established that the exponential equation x = ay and the logarithmic function y = logax are equal. Only when x = ay, a > 0, and a 1 do y and logax coincide. The base-a logarithmic function is what it is known as. Think about what it means for the exponential function to be inversed: x = ay.

Given,

log (5-2 x)=0

It can be expressed as -

5 - 2x = 10⁰

= 5 - 2x = 1

= x = 2

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Answer: The area of Triangle is A = 43.25

Step-by-step explanation:

In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3 [tex]s^{2}[/tex]* s = √3/4([tex]s^{2}[/tex])

Define Area of Triangle:

In an equilateral triangle, median, angle bisector and altitude for all sides are all the same and are the lines of symmetry of the equilateral triangle. The area of an equilateral triangle is √3/4([tex]s^{2}[/tex]) . The perimeter of an equilateral triangle is 3s.

So, we can write,

A = √3/4([tex]s^{2}[/tex])

It means, A = Area of the Triangle

S = length of Triangle = 10inches.

A = √3/4([tex]s^{2}[/tex])

A = √3/4([tex]10^{2}[/tex])

A= √3/4*100

A = 1.73/4*100

A = 0.4325*100

A = 43.25

The area of Triangle is A = 43.25

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The slope between (-8,4) and (3,-1) is -5/11 and the slope of 4x - 3y = 13 is 4/3

The points are given as

(-8,4) and (3,-1)

The slope between the points is calculated using

Slope = (y2 - y1)/(x2 - x1)

So, we have

Slope = (-1 - 4)/(3 + 8)

Evaluate

Slope = -5/11

Hence, the slope between (-8,4) and (3,-1) is -5/11

The equation of the line is given as

4x - 3y = 13

Make 3y the subject of the formula

So, we have

3y = 4x - 13

Make y the subject of the formula

So, we have

y = 4/3x - 13/3

A linear equation is represented as

y= mx + c

Where

Slope = m

By comparison, we have

m = 4/3

Hence, the slope of 4x - 3y = 13 is 4/3

A graph that represents direct variation is a linear graph that passes through the origin

The slopes of parallel lines are equal

i.e. m1 = m2

The slopes of perpendicular lines are opposite reciprocals

i.e. m1 = -1/m2

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The linear function y = 4, perpendicular to x = 3, is graphed at the end of the answer.

A linear function is modeled by the following rule:

y = mx + b

In which:

When two linear functions are perpendicular, they intersect forming an angle of 90º between them.

For this problem, we want a line perpendicular to x = 3.

The line passes through (-2,4), with y-coordinate of 4, hence the line is given by:

y = 4.

On the graph given at the end of the answer, it is shown that the two lines are perpendicular, forming an straight angle. The line y = 4 is graphed in blue.

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The required solution of the system of equations are x=-6 and y=-10.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The system of equations are

-2x+2y=-8 and -3x+y=8

According to given question we have

Consider the first equation.

-2x+2y=-8

Taking  minus sign common  from both sides we get

-(2x-2y)=-8

2x-2y=8

Taking  2 common  from left sides,  we get

2(x-y)=8

Divide by 2 on both sides we get,

x-y= 4....(i)

-3x+y=8...(ii)

By adding 2 equation we get

-2x=12

x=-6

Put the value of x in Equation (i) we get

x-y= 4

-6-y=4

-y=4+6

y=-10

Therefore, the required solution of the system of equations are x=-6 and y=-10.

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Addie is correct because both 2 and 14 are common factors of 56 and 42.

The factor of a number is the number that can perfectly divide another number without leaving any remainder. For example, a factor of 20 is 10 because 10 perfectly divides 20 to 2.

A common factor is a factor that is common to two or more integers. An example of a common factor of 15 and 20 is 5.

A Venn diagram uses circles that overlap each other to show logical relationships between two or more sets of items. The numbers at the intersection of the two circles are common to both numbers.

Factors of 56 =  1, 2, 4, 7, 8, 14, 28 and 56.

Factors of 42 = 1, 2, 3, 6, 7, 14, 21 and 42.

Common factors = 1, 2, 7, 14

This means that Addie is correct because both 2 and 7 are common factors of 56 and 42.

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Answer:

visit a nearby farmer ask him about farming such as things to be considered, possible disease, benefits, challenges etc. prepare a short report and present

[tex]\displaystyle\\Answer:\ y=\frac{1}{3}x-2[/tex]

Step-by-step explanation:

(6,0)    (9,1)

[tex]\displaystyle\\The\ slope=\frac{1-0}{9-6} \\\\The\ slope=\frac{1}{3}[/tex]

(0,-2)

[tex]\displaystyle\\y=\frac{1}{3} x+b\\-2=\frac{1}{3}(0)+b\\ -2=0+b\\\\-2=b\\\\Thus,\\\\y=\frac{1}{3} x-2\\\\[/tex]

The equivalent of the given expression 5( 2a + b ) + 2( a + 2b ) − 5( 2a + 2b ) is 2a - b.

Given the expression in the question;

5( 2a + b ) + 2( a + 2b ) − 5( 2a + 2b )

To simplify, apply distributive property.

5( 2a + b ) + 2( a + 2b ) − 5( 2a + 2b )

5(2a) + 5(b) + 2(a) + 2(2b) − 5(2a) -5(2b )

Perform the multiplication operation.

10a + 5b + 2a + 4b − 10a - 10b

Collect like terms

10a − 10a + 2a + 5b + 4b - 10b

2a + 5b + 4b - 10b

2a + 9b - 10b

2a - 1b

2a - b

Therefore, the equivalent of the given expression 5( 2a + b ) + 2( a + 2b ) − 5( 2a + 2b ) is 2a - b.

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Greg will pay $25.99 for one ink cartridge after the rebate

Cost of ink cartridge: $35.99

Rebate on each ink cartridge: $10

A rebate is a portion of the purchase price that is refunded. It serves as a motivator to promote the sale of goods. For instance, if I want to spend $1,000 on a laptop/computer, the shopkeeper can offer me a $100 rebate to sweeten the bargain and convince me to buy the item.

Price Greg will pay after rebate: 35.99 - 10 = $25.99

So, Greg will pay $25.99 for one ink cartridge after the rebate of $10.

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Answer:

The answer is 7

Step-by-step explanation:

The formula you would use is A=bxh

So you would just plug it in

3.5 x 2 which gives you 7

Hope this helps:)

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{-3}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -3 +1}{2}~~~ ,~~~ \cfrac{ 6 +2}{2} \right) \implies \left(\cfrac{ -2 }{2}~~~ ,~~~ \cfrac{ 8 }{2} \right)\implies (-1~~,~~4)[/tex]

The solution is 6

Rewriting the given equation

√(4x + 1) - 5 = 0

Now, taking square of the equation to find the solution of equation -

(√(4x + 1))² = 5²

On squaring both sides we get the equation -

4x + 1 = 25

Shifting 1 to the Right Hand Side of the equation

4x = 25 - 1

Performing subtraction on Right Hand Side of the equation

4x = 24

Shifting 4 to the Right Hand Side of the equation as denominator

x = 24 ÷ 4

Performing division on Right Hand Side of the equation

x = 6

Thus, the solution is 6

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The correct question is - sqrt(4x+1)-5=0

Answer:first do the exponents thats equal to 9 then times -2 is -16+7 is -11

hope that helps

Step-by-step explanation:

Answer:

-11.

Step-by-step explanation:

7+(-2)•3^2

= 7 - 2*9

= 7 - 18

= -11.

To find Y-intercept

Set X=0

Based on the given parameters, the value of the polynomial function f(8) is -4

Polynomials are mathematical statements that are represented by variables, coefficients and operators

The polynomial function is given as

Polynomial = f(x)

Also, we have the following statement

a remainder of -4 when divided by x-8

To start with, we set the divisor to 0

So, we have

x - 8 = 0

Add 8 to both sides of the equation

So, we have

x = 8

Express as a function

f(x) = f(8)

Set the equation to the remainder

So, we have

f(x) = f(8) = -4

Hence, the value of the polynomial function f(8) is -4

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Answer:

1 : 25.

Step-by-step explanation:

24 : 600

= 24/24 : 600/24

= 1 : 25.

The logarithm statement log (x - 2) = log x / log 2 is a false statement as log x / log 2 = log x - log 2.

We are given the logarithm as:

log (x - 2) = log x / log 2

We need to tell if it is true of not.

We get that, it is false statement.

We know that log a / log b = log a - log b

So, log x / log 2 = log x - log 2

So, it is not equal to log (x - 2)

Therefore, we get that, the logarithm statement log (x - 2) = log x / log 2 is a false statement as log x / log 2 = log x - log 2.

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Answer:

T(3, 8)

Step-by-step explanation:

Yes, it can.

Use the midpoint formula with points S and Z, and solve for point T.

M( (x_1 + x_2)/2 , (y_1 + y_2)/2 )

Z(3, 5) = ( (3 + x)/2 , (2 + y)/2 )

(3 + x)/2 = 3

3 + x = 6

x = 3

(2 + y)/2 = 5

2 + y = 10

y = 8

T(3, 8)

Answer:

3*2

Step-by-step explanation:

[tex](4 \times 1) + (4 \times \frac{1}{1000}) \\ (4) + ( \frac{4}{1000} ) \\ 4 + \frac{1}{250 \\} \\ \frac{1000 + 1}{250 } \\ \frac{1001}{250} \\ [/tex]

I guess this is the answer

45x2.20=99

meaning she spent $99

45x3.75=168.75

shows how much she made

168.75-99=69.75

shows what she profited

your answer is $69.75

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hope this helped :)

Answer: bofa

Step-by-step explanation:

The expression is written as a product of binomials as;

a) (x + 2) (5x + 3)

b) (x - 5) ( 3x + 2)

What is Distributive property?

Distributive property is said to be multiplying the sum of two or more number will give the same result as multiplying each addend individually by the number and then adding the products together.

Now, For solving the expression by using the distributive property "backwards" , we can find the GCD of each term using in the expression as;

(a) x(x+2) + 3(x+2) + 4x(x+2)

GCD of x(x + 2), 3(x + 2), 4x(x + 2) = (x + 2)

Hence, Firstly take (x + 2) as common term we get;

x (x + 2) + 3(x + 2)+ 4x(x + 2) = (x +2) ( x + 3 + 4x)

                                            = (x + 2) (5x + 3)

The expression is written as a product of binomials as;

a) x (x + 2) + 3(x + 2)+ 4x(x + 2) = (x + 2) (5x + 3)

And, (b) 2x(x-5) + 3(x-5) + (x-1) (x-5)

GCD of 2x(x-5) , 3(x-5) , (x-1) (x-5) = (x - 5)

Hence, Firstly take (x - 5) as common term we get;

2x(x-5) + 3(x-5) + (x-1) (x-5) = (x - 5) (2x + 3 + x - 1)

                                        = (x - 5) ( 3x + 2)

So, The expression is written as a product of binomials as;

b) 2x(x-5) + 3(x-5) + (x-1) (x-5) = (x - 5) ( 3x + 2)

Therefore, The expression is written as a product of binomials as;

a) (x + 2) (5x + 3)

b) (x - 5) ( 3x + 2)

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A full cycle, if the pendulum is 10 cm, is 0.6 seconds long. A full cycle, if the pendulum is 20 cm, is 0.9 seconds long. A pendulum that takes 2 seconds for one full cycle is 100 cm long.

Given,

The time t in seconds for a swinging pendulum to complete one full cycle is given by the function t as,

t = 0.2 √I

Here, l is the length of the pendulum in centimeters.

For the first part, two lengths are given for the pendulum is given

We can obtain the value of t by substituting the value of l

This implies,

For l =  10 cm

t =  0.2 √10 = 0.632 = 0.6 seconds

For l =  20 cm

t =  0.2 √20 = 0.894 = 0.9 seconds

For the second part, time is given

We can obtain the value of l by substituting the value of t

This implies,

For t = 2 seconds

l = t² / (0.2)² = t² / 0.04 = 2² / 0.04 = 4 / 0.04 = 100 cm

Therefore, A full cycle is 0.6 seconds long if the pendulum is 10 cm long, 0.9 seconds long if the pendulum is 20 cm long, and 100 cm long if the pendulum takes 2 seconds to complete one full cycle.

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Answer: I think it's 7.8.

Answer:

7.8

Explanation:

This number is irrational because it does not terminate.

Terminate

decimal that is expressed in finite figures in which all figures to the right are zero.

The correct option is (c) 144ft

The maximum height the ball reaches is 144ft.

A quadratic function has the form of equation as ax²+ bx + c, where a, b, and c are the numbers not equal to  zero. In mathematics, the quadratic function, the quadratic polynomials , 2 degree polynomial is a polynomial function with one or more that one variables in which the highest term is of the second degree.

In the question,

h(t)=-16 t²+96 t

and velocity = 96ft/s

out the -16 from the equation.

h(t)= -16 ( t² + 6 t )

h(t) = −16(t² −6t+9−9)

     = −16(t² −6t+9)+144

Factor the equation to get a perfect square ,t = 3 then h(t) = 144. The maximum height is 144.

−16(t−3)² +144

Thus, height is 144 ft.

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