If the equation that relates the Runner 2’s distance (in miles) with time (in minutes) is [tex]t=8.5d[/tex] then the slope/rate of change of Runner 2 is 8.5 minutes for 1 mile .
The three runners are training for the marathon ,
The equation that relates the Runner 2’s distance (in miles) with time (in minutes) is ⇒ [tex]t=8.5d[/tex] ,
to cover the distance of 2 miles Runner2 will take [tex]t= 8.5 \times 2[/tex] minutes ;
So , [tex]t=17[/tex] minutes ;
the first point will be (2,17) .
and to cover the distance of 4 miles the runner 2 will take [tex]t= 8.5 \times 4[/tex]
So , [tex]t=34[/tex] minutes ;
the second point will be (4,34) .
we have to find the rate of change/slope of runner 2 ,
that can be written as : [tex]Slope = \frac{34-17}{4-2}[/tex]
On simplifying ,
we get ;
[tex]Slope = \frac{17}{2}[/tex] ;
So , [tex]Slope = 8.5[/tex].
Therefore , the rate of change of Runner 2 is 8.5 .
The given question is incomplete , the complete question is
Three runners are training for a marathon. One day, they all run about ten miles, each at their own constant speed. The equation that relates the Runner 2’s distance (in miles) with time (in minutes) is "t = 8.5d". Find the slope/rate of change of Runner 2 ?
Learn more about Slope here
https://brainly.com/question/29083538
#SPJ4
Please help me plssss
Explanation
Check the picture below.
PLEASE HELP ME I DONT UNDERSTAND
Question 1: The Magnolia trees purchased for planting at the school are 3 feet tall. Research shows that these types of trees grow at an average of 3/4 foot per year Some students misunderstood question #1 and wrote the following equations in point-slope form:
a) y − 3 = 3/4(x-0)
b) y - 6 = 3/4(x-4)
c) y - 4.5 = 3/4(x-2)
d) y - 12 = 3/4(x-12)
e) y - 15= 3/4(x-15)
Is point slope form okay to use to find the height of the trees in this problem?
There is one equation that is incorrect.... determine which one? why is it incorrect?
Creat two new equations written in point slope form
The point slope form is not okay to use to find the height of the trees
The incorrect equation is y - 15= 3/4(x-15) The other equations are y - 3.75 = 3/4(x - 1) and y - 4.5 = 3/4(x - 2)How to determine if the point slope form is okay?From the question, we have the following parameters that can be used in our computation:
Initial height of purchase = 3 feet tallAverage rate = 3/4 foot per yearThe point slope form of a linear equation is represented as
y - y₁ = m(x - x₁)
Where
Slope = m
The point slope form does not show the initial value
So, this form is not okay for the required parameters
How to determine the incorrect equationThe slope-intercept form is given as
y = mx + c
Using the given parameters, we have
y = 3/4x + 3
Subtract 3 from both sides
y - 3 = 3/4x
Rewrite as
y - 3 = 3/4(x - 0)
This equation can be rewritten in any of the following forms
a) y − 3 = 3/4(x-0)b) y - 6 = 3/4(x-4)c) y - 4.5 = 3/4(x-2)d) y - 12 = 3/4(x-12)Hence, the incorrect equation is y - 15= 3/4(x-15)
Two new equations written in point slope formWe have the slope-intercept form to be
y = 3/4x + 3
Set x = 1 and 2, and then solve for y
So, we have
y = 3/4 * 1 + 3 = 3.75
y = 3/4 * 2 + 3 = 4.5
So, the equivalent equations are
y - 3.75 = 3/4(x - 1) and y - 4.5 = 3/4(x - 2)
Read more about linear equations at
https://brainly.com/question/4074386
#SPJ
Select all the pairs of operations that have inverse relationships.
The pairs of operations that have inverse relationships are subtraction and addition and multiplication and division. The correct options are A and D.
What are algebraic operations?Any of the common arithmetic operations, such as addition, subtraction, multiplication, division, raising to a whole number power, and taking roots, are considered basic algebraic operations in mathematics (fractional power).
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The inverse operations can be subtraction and addition and multiplication and division.
To know more about algebraic operations follow
https://brainly.com/question/4344214
#SPJ1
Help with some crazy easy math and explain for brainliest.
Answer:
c
Step-by-step explanation:
Which of these numbers is a solution of the inequality 3x > 18
0 1 4 6
Answer:
6
Step-by-step explanation:
Divide 3 on both sides
3x/3 > 18/3
x > 6
I neeeeeeed helpppppp
Which theorem(SSS, SAS, ASA, or AAS) would prove the triangles congruent?
Answer:
SSS
Step:
I think it might be this not very sure
Answer:
ASA
Step-by-step explanation:
A and C are congruent (angle) and then ad and dc are also (side) and they both have a right angle 90 (angle)
help if you want brianleist!! :) uhm don't mind update- NO LINkS- Thank you to those who help! :)
Answer:
200ft
Step-by-step explanation:
5ft×4ft= 20ft. 20ft×10ft =200ft
ASAP help with this!
If a scuba diver swam from the surface at −12 1/2 feet per minute, for 4 1/2 minutes, what would be the diver’s change in elevation?
The change in elevation would be -225/4 feet
What is a mixed fraction?A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
Given here, Speed of scuba diver as -12¹/₂=-25/2 and time in minutes 4¹/2=9/2
Thus distance traversed -25/2 × 9/2 = -225/4
Hence, the change in elevation is -225/4 feet
Learn more about mixed fractions here:
https://brainly.com/question/29264210
#SPJ1
What is the answer to 80.9-12.539
ILL BRAINLIEST YOU PLEASE HELP ME
Answer: 30.0 feet
Step-by-step explanation:
Answer:
30.0 ft
Step-by-step explanation:
How many permutations are there of all the letters in each name?
a) Inverary
b) Beamsville
c) Mattawa
d) Penetanguishene
Permutations for each word can be calculated by considering the number of unique letters in it and taking factorial of it.
a) Inverary: There are 8 letters in the name "Inverary" (I, N, V, E, R, A, R, Y), so there are 8! (8 factorial) permutations of all the letters in the name. This equals 40320 permutations.
b) Beamsville: There are 9 letters in the name "Beamsville" (B, E, A, M, S, V, I, L, E), so there are 9! (9 factorial) permutations of all the letters in the name. This equals 362880 permutations.
c) Mattawa: There are 7 letters in the name "Mattawa" (M, A, T, T, A, W, A), so there are 7! (7 factorial) permutations of all the letters in the name. This equals 5040 permutations.
d) Penetanguishene: There are 14 letters in the name "Penetanguishene" (P, E, N, E, T, A, N, G, U, I, S, H, E, N), so there are 14! (14 factorial) permutations of all the letters in the name. This equals 87178291200 permutations.
Learn more about Permutations here:
https://brainly.com/question/1216161
#SPJ4
Who created 4 steps in problem solving?
The 4 steps methods of problem solving is an approach that is agreed upon by many experts in different fields and developed over time, The answer is it is not attributed to any individual creator.
What is problem solving?Mathematical exercises with the potential to present intellectual challenges for advancing pupils' mathematical learning and growth are referred to as "problem solving." The three primary components of problem-solving are recognizing the issue, considering potential solutions, and selecting the best course of action.
What are four steps in problem solving?The 4 steps in problem solving, also known as the "scientific method" or the "4-step problem solving model" is a widely recognized method for solving problems that is used in many fields including science, engineering, and business. The four steps are: (1) Identifying the problem, (2) Gathering information, (3) Developing solutions, and (4) Implementing the solution.
It is not attributed to any individual creator, but an approach that is agreed upon by many experts in different fields and developed over time.
To learn more about problem solving visit:
https://brainly.com/question/29438624
#SPJ1
Select the correct answer from each drop-down menu.
The boundary of a park is shaped like a circle. The park has a rectangular playground in the center and 2 square flower beds, one on each side
of the playground. The length of the playground is /and its width is w. The length of each side of the flower beds is a. Which two equivalent
expressions represent the total fencing material required to surround the playground and flower beds? Assume that the playground and beds
do not overlap
2(l+w) + 4a and 2l+2w + 2(2a) are two equivalent expressions which represent the total fencing material required to surround the playground and flower beds.
What are mathematical expressions?Mathematical expressions are a way of representing mathematical ideas, concepts, and operations using symbols and notation. They can take many forms, including numbers, variables, and operators. They can also be combined to create more complex expressions, equations, and formulas.
Explain:
The total fencing material required to surround the playground and flower beds would be the sum of the fencing material for the playground and the fencing material for the flower beds.
So, one possible expression for the total fencing material required to surround the playground and flower beds would be: 2(l+w) + 4a
Another possible expression for the total fencing material required to surround the playground and flower beds would be: 2l+2w + 2(2a)
Please note that these expressions are based on the information provided, and the actual total fencing material required will depend on the specific dimensions of the park and playground, and may differ from these expressions.
To know more about variables visit: https://brainly.com/question/15078630
#SPJ4
How do you plot the point 3?
Here the point 3 can be taken as (3,0) or (0, 3) ; For first, move right 3 units along the x-axis. No vertical component is there , as the y-coordinate is 0 here; For second, move 3 units along the y-axis. Since the x-coordinate is 0, there is no horizontal component.
A point is marked in a coordinate plane using its coordinates when it is plotted in a coordinate system.
The intersection of the x-axis, a horizontal number line, and the y-axis, a vertical number line, creates a 2D coordinate plane.
At the coordinate plane's origin, where the two axes (plural for axis) intersect, four right angles are formed. On a coordinate plane, a grid is frequently drawn to make it simpler to plot points.
In a 2D coordinate plane, a point's location is represented by an ordered pair of numbers (x, y). An ordered pair of numbers is used to represent the location of a point in a 2D coordinate plane (x, y). The first number in the pair represents the point's location along the x-axis, and the second number represents its location vertically (y-axis).
Count x squares from the origin along the x-axis, then count y squares in the direction of the y-axis to plot the point (x, y) in the coordinate plane.
Here the point 3 can be taken as (3,0) or (0, 3) ; For first, move right 3 units along the x-axis. No vertical component is there , as the y-coordinate is 0 here; For second, move 3 units along the y-axis. Since the x-coordinate is 0, there is no horizontal component.
To know more about Graph plotting here:
https://brainly.com/question/11616742#
#SPJ4
What is the domain and range of a composite function?
The domain of a composite function is the set of all possible inputs for both functions, and the range is the set of all possible outputs.
A composite function is the combination of two or more functions. The domain of a composite function is the set of all possible inputs for both functions. This means that the domain is the set of all the possible inputs that can be used in either of the functions that make up the composite function. The range of a composite function is the set of all possible outputs. This means that the range is the set of all the possible outputs that can be obtained by the combination of the two or more functions. When graphing a composite function, it is important to remember that the domain and range of the composite function are the union of the domain and range of the individual functions in the composite function. The domain and range of a composite function can be determined by first determining the domains and ranges of the individual functions and then combining them.
Learn more about domain here
https://brainly.com/question/13113489
#SPJ4
Please help
Initial amount:
Factor:
Equation:
The factoring of the equation is 6x(x + 8). The process of factoring involves determining what to multiply to produce an expression.
How to factor the equation?The process of factoring involves determining what to multiply to produce an expression.
It resembles "dividing" an expression into several smaller expressions.
There are three steps involved in factoring completely:
A GCF should ideally be factored out of the expression.
As much as you can, factor a trinomial.
Put as many factors as you can into a Difference Between Two Squares.
The Grouping method, the difference in two squares, and the sum or difference in cubes are the four primary methods of factoring. The Greatest Common Factor (GCF) is another.
It should be noted that the given expression must be factored based on the provided information.
The expression given is:
6x² + 48x
The common factor is 6x
6x(x + 8)
Therefore, the factoring of the equation is 6x(x + 8).
To learn more about factoring refer
https://brainly.com/question/28322819
#SPJ1
I NEED HELPPPPPPP
Anita needs to construct ten cones for a class project. How many square feet of material will she need? Use 3.14 for π. Enter your answer in the box.
Step-by-step explanation:
Given : 1/16 ÷ 1/81 + - 1/8To find: multiplicative inverseSolution:a multiplicative inverse is basically a reciprocalMultiplicative inverse of number is the number which if multiplied by original number result in 11/16 ÷ 1/81 + -1/81/16 ÷ 1/81 = 81/16+ - 1/8 = - 1/881/16 - 1/8= 81/16 - 2/16= (81 - 2)/16= 79/16Multiplicative inverse = 16/79The table shows pairs of values for the linear function f(x) = 3x -2. Which conjencture about linear functions in general is best supported by the table?
The information in a table shows that f(x) = 3(2)x exponential function. An exponential function has the formula y = abx, wherein y and x are variables.
Describe the exponential function.An exponential function is a mathematical function with the following formula: f (x) = 1 x. where an is a fixed sum that serves as the function's basis and x is a variable. The most frequent exponential-function base is the transcendent number e, or around 2.71828. Your function must be exponential if it has the equation y = a b x, or where are constant, a Zero and b > 0 and b 1. You always used functions to the power of 2 while solving quadratic equations. An exponential function's exponent is a variable.
Here,
given:
Using the table's (0, 3):
3 = ab° , a = 3
(2) and (12):
=>12 = ab²
=>12 = 3b²
=>b² = 4
=>b = 2
=>f(x) = 3(2)ˣ
The information in a table shows that the exponential function, f(x), equals 3(2)x.
To know more about exponential function visit :-
brainly.com/question/11487261
#SPJ1
can someone help me pleaseeee????
Answer:
CA=20 CD=20
AB=23 DE=23
BC=29 EC=29
Step-by-step explanation:
Find the volume of a cylinder with diameter 8 and height 10
Answer:
502.4
Step-by-step explanation:
Cylinder Volume Formlua = (Pi)*(R^2)(height) = (3.14)(16)(10) = 502.4
Answer:
HERE YOU GO BRO :
Step-by-step explanation:
VOLUME OF CYLINDER,
V=πr2h
PUT THE GIVEN VALUES,
V= 3.14 × 4 × 2(10)
= 12.56 × 20
V = 251.2cm³ ans
Formulae OF RADIUS IS d/2 = 8/2 = 4cm
Four different linear functions are represented below. Drag the representation of each function into order from greatest y -intercept to least y -intercept.
Answer:
Descending order intercept : y = 5x + 4 , y = 4x + 3 , y = 3x + 2 , y = 2x + 1
Step-by-step explanation:
Linear Equations are in form of 'y = mx + b'.
Here, b is y intercept & it represents autonomous ie constant value of y irrespective of value of x. And, m represents slope ie change in y due to change in x.
Eg : 'y = 2x + 1' has least y intercept ie common autonomous value ie 1. y = 3x + 2 , y = 4x + 3 , y = 5x + 4 ; these have higher & higher y intercepts respectively.
Arrangement from greatest to highest intercept (descending order of intercept) of above : y = 5x + 4 , y = 4x + 3 , y = 3x + 2 , y = 2x + 1
Answer:
Can you add a picture there is like 10 of these on imagine math
Step-by-step explanation:
Thank you
please help quickly
These polygons are similar. x=?
The value of x in the similar polygons is 7.
How to find the side of similar polygon?Two polygons are similar if their corresponding angles are congruent and their corresponding sides are in proportion.
Therefore, the polygons WXY and STU are similar.
Hence, using proportion, let's find the value of x
3 / 9 = 4 / x + 5
cross multiply
3(x + 5) = 9 × 4
3x + 15 = 36
subtract 15 from both sides of the equation
3x + 15 - 15 = 36 - 15
3x = 21
divide both sides by 3
x = 21 / 3
x = 7
Therefore,
x = 7
learn more on polygon here; https://brainly.com/question/29467120
#SPJ1
Please help with this question
Answer:the image is not noticeable
Step-by-step explanation:
What are the 7 degree of polynomial?
The degree of a constant polynomial (such as 7) is zero.
The variable's highest power in a polynomial expression is the polynomial's degree.
A polynomial is a mathematical expression made up of more than two algebraic terms, particularly the sum (or difference) of several terms that each contain a different power of a single or several variables (s).
It is a monomial combination that is linear. Since the polynomial can be conceived of as 7x0, the degree of a constant polynomial (such as 7) is zero.
Normally, the degree of the zero polynomial (zero) is regarded as being undefinable.
A polynomial function with a degree of 7 is known as a septic function (also known as a 7th degree polynomial).
To more about Polynomials here:
https://brainly.com/question/20121808#
#SPJ4
A line is decreasing from left to right and crosses the y-axis at -5. Which of the following equations matches the description of the line?
y = -5x + 5
y = -5x - 5
y = 5x + 5
y = 5x - 5
Answer: y = -5x - 5
Hopefully that helps.
For which points is the x-coordinate less than 3?
Answer:
Ok his his his his his his his his his his his his his his his his
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 29 inches, and the length of the base is 18 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
Answer:
Perimeter = 78.7 inches
Step-by-step explanation:
From the given question, applying the Pythagoras theorem to one of the congruent triangles formed, we have;
[tex]/hyp/^{2}[/tex] = [tex]/adj 1/^{2}[/tex] + [tex]/adj 2/^{2}[/tex]
= [tex](29)^{2}[/tex] + [tex](9)^{2}[/tex]
=841 + 81
[tex]/hyp/^{2}[/tex] = 922
hyp = [tex]\sqrt{922}[/tex]
= 30.3645
The perimeter of the triangle can be determined as;
perimeter = [tex]l_{1}[/tex] + [tex]l_{2}[/tex] + [tex]l_{3}[/tex]
= 30.3645 + 18 + 30.3645
= 78.729
The perimeter of the triangle = 78.7 inches
Find the value of x that makes the equation true 7x=70
x=10
x=9
x=0
x=11
Answer: x = 10
Step-by-step explanation:
1. To find x, you need x to be by itself and the only way for it be like that in this situation is by dividing both sides by 7.
2. 7 divided by 7 cancels out and 70 divided by 7 = 10. This means x = 10.
Answer:
10
Step-by-step explanation:
since we have 7x=70
the multiply goes and becomes divide we get 70/7
and by dividing it we get the ans 10