the recode for the Boston marathon wheelchair division is 1 hour 18 minutes and 27 seconds

For any function, we call x the "numerator" value and y is the "denominator" value.

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. Which ultimately implies that, a function is used for mapping an input variable to an output variable.

We know that fraction represents a part of a number or any number of equal parts.

The parts of a fraction are;

In Mathematics, a fraction comprises two main parts and include the following:

Numerator

Denominator

For any function in the Mathematics, we call variable x the numerator value while y is the denominator value.

Read more on function here:

brainly.com/question/3632175

#SPJ1

The equation of the line that passes through  ​(-3​,2​), and is perpendicular to 3x - 5y = -2 is:

y - 2 = -5/3(x + 3), or

y = -5/3x - 3

The equations of two lines that are perpendicular to each other will always have a slope (m) that are negative reciprocals to each other.

Thus, given the equation of a line as, 3x - 5y = -2, rewrite in slope-intercept form (y = mx + b) to easily determine its slope (m):

3x - 5y = -2

- 5y = -3x - 2

y = 3/5x + 2/5

The slope (m) = 3/5.

The negative reciprocal of 3/5 is -5/3.

Hence, the slope (m) of the line that is perpendicular to 3x - 5y = -2 would be -5/3.

Substitute (a, b) = (-3, 2) and m = -5/3 into y - b = m(x - a):

y - 2 = -5/3(x - (-3))

y - 2 = -5/3(x + 3) [point-slope form]

Rewrite the equation in slope-intercept form:

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

y - 2 = -5/3x - 5

y = -5/3x - 5 + 2

y = -5/3x - 3 [slope-intercept form]

In summary, the equation of the line that passes through  ​(-3​,2​), and is perpendicular to 3x - 5y = -2 is:

y - 2 = -5/3(x + 3) [point-slope form], or

y = -5/3x - 3 [slope-intercept form].

Learn more about the equation of a line on:

https://brainly.com/question/13763238

#SPJ1

4/9 is not an Extraneous solution of the equation

Given Equation is √x+ 2√x=2.

On Squaring both the side of the equation, we get

(√x+ 2√x)² = 2²

Using the identity (a + b)² = a² + b² + 2ab on the left hand side of the equation

(√x)² + (2√x)² + 2(✓x)(2✓x) = 4

x + 4x + 4x = 4

9x = 4

x = 4/9

Check for Extraneous Solutions

Putting the value of x = 4/9 in the original equation √x+ 2√x=2, we get

✓(4/9) + 2(✓4/9) = 2

2/3 + 2(2/3) = 2

2/3 + 4/3 = 2

6/3 = 2

2 = 2

LHS = RHS

∴ 4/9 is not an Extraneous solution of the equation.

Know more about Extraneous solution: brainly.com/question/9621249

#SPJ4

The figure must be true if Ray CE seems to be the angle bisector of ZACD, as stated in the supplied statement.

∠ACE = ∠DCB.

The line or line segment that divides an angle into two equal halves is known as the (interior) bisector of the an angle.

A bisector is a tool that divides an angle equally into two equal halves. Divide the number of degrees in the angle by two to determine the angle bisector.

If the angle bisector of ADC is the ray CE

then,

Angle ACD = ACE + ECD

ACE = ECD

So,

ACD = 2(ACE)

ACE = 1/2 (ACD)

This implies that ∠ACE = ∠DCB.

The figure must be true if Ray CE seems to be the angle bisector of ZACD, as stated in the supplied statement.

To know more about angle bisector visit:

https://brainly.com/question/12896755

#SPJ9

Answer:

LCD= 24

Step-by-step explanation:

[tex]\frac{5}{8}=\frac{15}{24}\\ \\\frac{11}{12}=\frac{22}{24}[/tex]

Answer:

The answer is 2.4lbs

Step-by-step explanation:

1.32 divided by .55 is 2.4, meaning the bag weighed 2.4lbs :)

Answer:

B (A reflection over the line y = x)

Step-by-step explanation:

I just think of it as imagining a positive diagonal line (like this --> /)

Hope this helps in some way

The value of the expression log₅62 by using the change of base theorem is 2.5644.

Given that the expression is log₅62.

We are required to find the value of the expression by using the change of base formula.

The change of base formula is basically used to find the base of the log value is different from 10. It says that [tex]log_{a}b[/tex]=log b/log a.

Expression is log₅62.

log₅62=log 62/log 5

Now we have to use the value of log 62=1.7923 and log 5=0.6989 in the above expression.

=1.7923/0.6989

=2.5644

Hence the value of the expression log₅62 is 2.5644.

Learn more about change of base theorem at https://brainly.com/question/24788069

#SPJ4

Solving the problem as per a linear equation, the value of b is found to be 1/10.

A linear equation is a form of algebraic equation in which the highest value of a variable is always equal to 1. Such an equation forms a straight line when carved on a graph.

As provided, the given equation is,

1/b = 4/2b - 10

or, 1/b = 2/b - 10 (as 4/2 = 2 )

or, 1/b - 2/b = - 10

or, 1/b ( 1 - 2) = - 10

or, - 1/b = - 10, ( we are using cross multiplication )

so, b = 1/ 10 ( as a negative sign on both sides will be nullified)

To know more about a linear equation, refer to the following link:

https://brainly.com/question/4074386

#SPJ4

Answer:

Step-by-step explanation:

half hisage. Then subtract

Answer: 12 years old

Step-by-step explanation:

You should use variables:

Set x as tyler's age.

32 = 2x + 8

32 - 8 = 2x

24 = 2x

12 = x

Therefore, Tyler is 12 years old.

When the company asked its customers to describe how satisfied they were with the latest product, it's a discrete data.

It should be noted that the main distinction between continuous and discrete data is that the former has a finite value that can be counted while the latter has an endless number of possible values that can be measured.

A count involving integers is referred to as discrete data because there are a finite number of possible values. This kind of data cannot be separated into separate components. Discrete data consists of discrete variables that are non-negative, countable, and finite.

In this case, it should be noted that the measurement was taken based on their satisfaction. Therefore, it's a discrete variable.

Learn more about data on:

https://brainly.com/question/14812653

#SPJ1

Logarithmic form: logₓ y = 4

A logarithmic form is a method to write equations when solving for a variable in an exponent. Any exponential equation can be written as a logarithm. The logarithmic form is used to calculate an exponent of an equation.

The logarithmic form is a rearrangement of the exponential form.

Exponential form: aᵇ = c

Logarithmic form: logₐ c = b

Comparing this with our equation, a=x, b=4, c=y

Therefore, we get the logarithmic form as logₓ y = 4

Conversion from exponential to logarithmic form gives the final answer as logₓ y = 4

Learn more about how to convert from exponential to logarithmic forms here https://brainly.com/question/20010799

#SPJ4

The value of x for log (7 x+1)=log (x-2)+1 is 7.

Due of their connection to exponential functions, logarithmic functions are crucial. Exponential equations and the characteristics of exponential functions may both be investigated using logarithms. Additionally, they will be of great service in calculus, where they will be used to determine the slope of specific functions and the region enclosed by particular curves. They also have useful uses in economics.

Given,

log (7 x+1)=log (x-2)+1

log(7x + 1) - log(x - 2) = 1

using log (m/n) = log m - log n

log (7x+1 / x-2) = 1

It can be expressed as -

7x + 1 / x - 2 = 10 ¹

7x + 1 = 10x - 20

3x = 21

x = 7

To learn more about logarithm function from given link

https://brainly.com/question/13473114

#SPJ4

Answer:

46.5

Step-by-step explanation:

80+(10x46.5)=545 so 46.5

The solution for the value of x for the Logarithmic expression 2㏑x + 3㏑2 = 5 is

4.30716.

A logarithmic equation is one that includes the logarithm of a variable-containing expression. To address exponential equations, first determine whether both sides of the equation can be written as powers of the exact number.

Some properties of ㏑ function are-

Now, as per the given expression;

2㏑x + 3㏑2 = 5

Use the Power Rule: n㏑A = ㏑Aⁿ

㏑x² + ㏑2³ = 5

Now, apply the Product Rule : ㏑A + ㏑B = ㏑(AB)

㏑(x² ×2³) = 5

㏑(x² ×8) = 5

Raise the formation to exponential form, using e as the base.

e∧㏑(x² ×8) = e⁵

Comparing the base of both sides;

x² ×8 = 5

x² = 5/8

x = ±√5/8

x = ±4.30716

Due to domain restrictions, the argument of any logarithm is always positive & greater than zero.

Therefore, the value of x is estimates as x = 4.30716.

To know more about the Logarithmic functions, here

https://brainly.com/question/13473114

#SPJ4

The equation of solution  ln (2-x)=1 is -0.718.

ln (2-x)=1

2-x = e

x = 2-e

x= -0.718

A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

Two expressions joined by the equals symbol ("=") form an equation. The "left hand side" and "right hand side" of the equation are the expressions on either side of the equals sign. The right side of an equation is frequently considered to be zero.

To learn more about equation from the given link:

brainly.com/question/10413253

#SPJ4

Answer:

AB and BC are the sides of a parallelogram, ABCD. AB = 5 cm, BC = 7 cm and ABC = 60 degrees. Draw the lines AD and CD to complete the parallelogram.

Step-by-step explanation:

The value of x will be 12 and the angle measurements of ∠A and ∠B is 45°.

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.

Given is a set of two lines parallel to each other intersected by a line. From the question, we can write -

∠A = 5x - 15

∠B = 2x + 21

Refer to the image attached.

From the figure it can be seen that -

∠B = ∠TRO = 2x + 21             [Vertically opposite angles are equal]

∠TRO = ∠POR = 2x + 21       [Alternate interior angles are equal]

∠A = ∠POR = 2x + 21            [Vertically opposite angles are equal]

It is given that

∠A = ∠B

5x - 15 = 2x + 21

3x = 21 + 15

3x = 36

x = 12

Then -

∠A = 2x + 21 = 24 + 21 = 45°

∠B = ∠A = 45°

Therefore, the value of x will be 12 and the angle measurements of ∠A and ∠B is 45°

To solve more questions on Geometrical Straight lines, visit the link below-

https://brainly.com/question/17551232

#SPJ1

[The question is not clearly written. The complete question is along with the correct figure attached is -

The angle measurements in the diagram are represented by the following expressions.

A= 5x - 15°

B = 2x + 21°

Solve for x and then find the measure of ∠A and ∠B.]

Answer:

No, he still needs 2 yards

Step-by-step explanation:

Say Drew Breeze is at 0 on the first possession. When he is sacked, his position drops back to -4.

-4+12=8

Knowing that you need to gain 10 yards to get 1st down, Drew Breeze still needs a gain of at least 2 yards.

Hope this helps! :)

It should be noted that the ratio in simplest form of 45 to 9 is 5:1.

It should be noted that a ratio and fraction are simply used in mathematics to compare one thing with something else.

In this case, it should be noted that we want to write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator 45 to 9.

Therefore, the ratio of 45 to 9 will be:

= 45 / 9

= 5:1

Therefore, it should be noted that the ratio in simplest form of 45 to 9 is 5:1.

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

Answer: it's A

hope this helps : D

Answer:

261111111/100000

Step-by-step explanation:

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ \dfrac{7}{100} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ \sqrt{7} }{ \sqrt{100} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ \sqrt{7} }{ \sqrt{10 {}^{2} } } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ \sqrt{7} }{ 10 } [/tex]

So, the correct choice is A

Using the bisection concept, it is found that the congruent angle to <GFH is given by:

d. <GFC.

A bisection of an angle is when a line splits an angle into two equal angles, that is, it splits by half the original angle.

The two resulting angles will be congruent, that is, they will have the same measure.

For this problem, we have that line CH bisects angle GFH, hence, from the explanation above, we have that:

Angles GFH and GFC are congruent, as due to the bisection, they both measure 90º.

Thus option D is correct, which is the one that lists angle GFC as congruent to angle GFH, that is, both angles having the same measure, which in this case is of 90º.

More can be learned about bisection and angles at https://brainly.com/question/25770607

#SPJ1

Answer:

see explanation

Step-by-step explanation:

Firstly, dividing by zero is undefined.

given

f(x) = [tex]\frac{x}{x-1}[/tex] , then

f(1) = [tex]\frac{1}{1-1}[/tex] = [tex]\frac{1}{0}[/tex] = undefined

Answer:

B.

Step-by-step explanation:

The Pythagorean theorem only works with right triangles. a and b are the lengths of the legs. c is the length of the hypotenuse. The hypotenuse is the longest side of a right triangle.

Answer: B.

The solution to the system of linear equations is x=3 and y= -4.

A system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

For solving this question, you should apply the addition method. Thus, you should sum the equations 1 and 2.

6x + y = 14  (1)

−2x −y =−2 (2)

6x-2x+y-y=14-2

4x=12

x=3

From equation 2, you can find y for x=3

−2x −y =−2 (2)

-2*3-y=-2

-6-y=-2

-y=-2+6

-y=4

y= -4

Read more about solving systems equations here:

brainly.com/question/12691830

#SPJ1

Answer:

the data below are the tempretures on randomly

Step-by-step explanation:

Answer:

In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal

Step-by-step explanation:

The expanded form of the given logarithms ( log 4 s⁴ t) is =  2log(2) + 4log(s)  + log(t).

The features of the log are used to increase a single logarithm into numerous logarithms (or) compression multiple logarithms together into a single logarithm. A logarithm is simply another way of writing exponents. Thus, logarithm properties are obtained from exponent properties.

log (4 s⁴ t)

can be written as log (4 s⁴ t):

Property used in the solving (log b*c = log b  + log c) and (log ₐᵇ = b log a)

log (4 s⁴) + log( t)

log (4 ) + log(s⁴) + log( t)

Expand log (s⁴) by moving 4 outside the log.

log (4 ) + log(s) + log( t)

The expression also can be written as :

2log(2) + 4log(s)  + log(t)

The expanded form of the given logarithms ( log 4 s⁴ t) is =  2log(2) + 4log(s)  + log(t).

To know more about logarithm properties visit:

https://brainly.com/question/25633462

#SPJ4