Given:
[tex]y=2x-3[/tex]xy
Row A33
Row B57
Row C711
Row D1015
Required:
To find the row of the input/output table that is incorrect.
Explanation:
The row D is incorrect.
Because, when x=10
[tex]\begin{gathered} y=2(10)-3 \\ =20-3 \\ =17 \end{gathered}[/tex]Final Answer:
Row D is incorrect.
The coaches of a school football team want to know how many families from the school plan to attend this week's game. Each coach takes a different approach to obtain this information. Which sampling method would provide a good representation of the population? F Call all the parents of the football players to ask if their families will attend the game. G Stop every fifth car that enters the school parking lot one morning to ask if their families will attend the game. H Ask all the students in the last period PE class if their families will attend the game. J Choose every fourth student from an alphabetical list of the entire student body and ask if their families will attend the game
The option that takes samples putting the entire families of the students into account is the last option.
Option J is the correct answer
or = to compare ž, 1.75, and -0.75. ThenHaru was asked to compare and order threerational numbers. Show how he can use <, >,23order these numbers from least to greatest.+-2-101NHelppppo
It's important to know that proper fractions like 2/3 are between 0 and 1, specifically, 2/3 is equal to 0.67.
Now, we have three numbers, 0.67, 1.75, and -0.75. If we organize the numbers from least to greatest we have -0.75, 0.67, and 1.75. Then, we use the inequality symbols to express this order.
[tex]-0.75<\frac{2}{3}<1.75[/tex]The symbols are telling us that -0.75 is less than 2/3, and 2/3 is less than 1.75.
Now, let's graph this relation between the three numbers.
find the measure of arc GM if KP=PL and GM=36ft.
Given:
KP = PL
GH = 36 ft
Let's find the measure of arc GM.
Apply the angle arc relationship to find the measure of angle KGL:
[tex]KG\text{L}=\frac{HJ}{2}[/tex][tex]KGL=\frac{52}{2}=26\text{ degre}es[/tex]GKP + GLP + KGL + KGP = 360 degrees
90 + 90 + 26 + KPL = 360
206 + KPL = 360
Subtract 206 from both sides:
206 - 206 + KPL = 360 - 206
KPL = 154 degrees
To find the measure of arc GM, we have:
[tex]\begin{gathered} arcGM=\frac{KPL}{2} \\ \\ arcGM=\frac{154}{2} \\ \\ \text{arcGM}=77\text{ degre}es \end{gathered}[/tex]Therefore, the length of arc GM is 77 degrees
ANSWER:
77°
what is the greatest common factor of the numbers 2835 and 8960
35
Step-by-step explanation:
3x3x3x3x5x7
hope it helps have a nice day with apples
What are the five theorems / rules used to prove that two triangles are congruent?
Answer:
The first of the congruency theorems is
1) SSS :
Side-Side-Side or SSS is a kind of triangle congruence rule where it states that if all three sides of one triangle are equal to all three corresponding sides of another triangle, the two triangles are considered to be congruent. Two or more triangles are said to be congruent when the measurements of the corresponding sides and the corresponding angles are equal.
2) SAS:
SAS congruence is the term which is also known as Side Angle Side congruence, which is used to describe the relation of two figures that are congruent. Let's discuss the SAS congruence of triangles in detail to understand the meaning of SAS
Consider the two tringles blelow
Under this criterion, if the two sides of a triangle are equal to the two sides of another triangle, and the angle formed by these sides in the two triangles are equal, then these two triangles are congruent. The SAS Criterion stands for the 'Side-Angle-Side' triangle congruence theorem.
3) AAS:
The AAS Theorem says: If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. Notice how it says "non-included side," meaning you take two consecutive angles and then move on to the next side (in either direction).
4) ASA:
The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
5)HL:
The HL Theorem states; If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
help mee pleasee!!
thank you <3
An equation that models the number of people employed in some country as medical assistant in the last year x is y = 359 + 14.35x
In this question, we have been given the number of people employed in some country as medical assistant.
We need to write an equation that models the number of people employed in some country as medical assistant in the last year x.
the number of people employed in some country as medical assistant:
in 2004 = 359 thousand
and by 2014 this number is expected to be 560 thousand.
We find the rate of employment.
Consider (x1, y1) = (0, 359) and (x2, y2) = (14, 560)
m = (560 - 359)/(14 - 0)
m = 201/14
m = 14.35
We have been given the line must pass through points (0, 359) and (14, 560)
And, we get the y-intercept c = 359
with slope m = 14.35 and y-intercept c = 359, the equation of the line would be,
y = 14.35x + 359
Therefore, an equation that models the number of people employed in some country as medical assistant in the last year x is y = 359 + 14.35x
Learn more about an equation of line here:
https://brainly.com/question/24524587
#SPJ1
6d. Write an equation to represent the dollar amount in her savingsaccount and the number of weeks of saving. Be sure to specify what eachvariable represents.
Answer:
y = 24x + 80
Where x is the number of weeks of saving and y is the dollar amount in her savings
Explanation:
We need to find the equation of the line. If x is the number of weeks of saving and y is the amount in her savings, the equation has the following form
y = mx + b
Where m is the slope and b is the y-intercept.
The slope can be calculated using two points in the line (x1, y1) and (x2, y2) as follows
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Then, replacing (x1, y1) = (0, 80) and (x2, y2) = (5, 200), we get:
[tex]m=\frac{200-80}{5-0}=\frac{120}{5}=24[/tex]Additionally, the y-intercept is the point where the graph crosses the y-axis. In this case, the point is (0, 80), so the value of b is 80.
Therefore, the equation of the line is
y = 24x + 80
Where x is the number of weeks of saving and y is the dollar amount in her savings
Layla skated x kilometers around the rink. Lamel skated 5/2 less than Layla.
Now write an equivalent equation to show how many kilometers Lamel skated around the rink.
An equivalent equation to show how many kilometers Lamel skated around the rink is x - 5/2.
Linear equations in one variable
The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
For example, 2x+3=8 is a linear equation having a single variable in it.
Given that Layla skated x kilometers around the rink, Lamel skated 5/2 less than Layla.
Therefore Lamen skated x - 5/2 kilometers, as Lamen skated 5/2 less than the kilometers skated by Layla
To learn more about linear equations in one variable visit:
brainly.com/question/28773343
#SPJ1
true or false9. 1/i^3=1/i^7
SOLUTION
We are asked true or false if
[tex]\frac{1}{i^3}=\frac{1}{i^7}[/tex]Now
[tex]i=\sqrt[]{-1}[/tex]So,
[tex]\begin{gathered} (\sqrt[]{-1})^3=\sqrt[]{-1} \\ \\ \text{also } \\ \\ \sqrt[]{-1})^7=\sqrt[]{-1} \end{gathered}[/tex]So the statement is true.
Note that since the powers or indices are odd numbers, it would be the same
what is 42,099 rounded to the nearest thousand
We are given 42,099
To round off to the nearest thousand, we need to check the hundredth digit
Ten thousandth digit = 4
Thousandth digit = 2
Hundredth = 0
Tenth = 9
Unit = 9
If the hundredth digit is 0, 1, 2, 3 and 4, then you need to round off to the previous thousand
The answe is 42, 000
hello I'm stuck on this homework problem and need help thank you
Given:
Inner radius circle = 10yd
Outer radius circle = 14 yd
One gallon of coating can cover = 4
Find-: How many gallons of coating do we need?
Sol:
The area of a circle is:
[tex]A=\pi r^2[/tex]The area of the outer circle is:
[tex]\begin{gathered} A=\pi r^2 \\ \\ =\pi(14)^2 \\ \\ =196\pi \end{gathered}[/tex]The area of the inner circle:
[tex]\begin{gathered} A=\pi r^2 \\ \\ A=\pi(10)^2 \\ \\ A=100\pi \end{gathered}[/tex]So the pool area is:
[tex]\begin{gathered} \text{ Area of pool = Area of outer circle - area of inner circle} \\ \\ =196\pi-100\pi \\ \\ =96\pi \end{gathered}[/tex]If one gallon of coating covers 4.
[tex]\begin{gathered} =\frac{96\pi}{4} \\ \\ =24\pi \\ \\ =75.4 \end{gathered}[/tex]So 75 gallons use for coating.
help meeeeeeeeeeeeeeeeeeeeeee
thank you
Answer:
x = -2
Step-by-step explanation:
x is represented by the horizontal axis, so read up from the given point to find where it would lie on the x axis.
Juanita is tying ribbon on gift bags. She has 24 feet of ribbon and each gift bag uses 0.75 foot of ribbon. The function
r = 24-0.75g represents the amount of
ribbon r Juanita has left after tying ribbon on g gift bags. Find the zero of the function.
Describe
what this value means in the context of this situation
The zero of the function is at
- This
represents that after tying ribbon on bags, Juanita will have
feet of ribbon
left.
gift
This figure indicates that Juanita will run out of ribbon after tying 32 gift bags.
Explain about the zero of a function?A real number that fulfils the equation f(x) = 0 is a real zero of a function f(x). In other words, if f(r) = 0, we can claim that a real number 'r' is a function f(x) zero.Any substitution for the variable in a function that results in a zero answer is known as the zero. The x-intercept(s) of the function's graph, or the actual zero of a function, is the location on a graph where the function's graph crosses the x-axis.The function's zero is 32 gift bags. This indicates that Juanita will run out of ribbon after tying bows on 32 gift bags.Considering the query;
The quantity of ribbon Juanita has left after tying ribbon on gift bags is represented by the function r = 24 -0.75g.
At r = 0, the function's zero is located.
Therefore;
0 = 24 -0.75g
g = 24/0.75
g = 32.
This figure indicates that Juanita will run out of ribbon after tying 32 gift bags.
To learn more about zero of a function refer to:
https://brainly.com/question/65114
#SPJ9
you are a freelancer and were offered two gigs. one will pay you $25,000today and the other will pay you $5,000 per year over the next six years. assuming your required return is 8%, which gig should you accept, assuming you are in it just for the money?
The preferred gig is the first one since its today's worth is greater than the today's value of the second gig
What is the today's worth of $5000 each year?
The worth of the second gig, which pays $5000 every year for the next 6 years in today's dollar is the present value of all the six annual cash flows discounted using the present value formula of an ordinary annuity as shown below:
PV=PMT*(1-(1+r)^-N/r
PV=present value of annual payments for 6 years=unknown
PMT=annual payment=$5000
r=required return=discount rate=8%
N=number of annual cash flows=6
PV=$5000*(1-(1+8%)^-6/8%
PV=$5000*(1-(1.08)^-6/0.08
PV=$5000*(1-0.630169626883105)/0.08
PV=$5000*0.369830373116895
/0.08
PV=$23,114.40
The fact that the present value of the second option which pays $5000 annually is lesser than the amount receivable immediately, which is $25,000, hence, the first gig is preferred
Find out more about ordinary annuity on:https://brainly.com/question/13369387
#SPJ1
please tell me someone knows this
The vertex of the given graph is (0,5).
The axis of symmetry is y = 5x.
The number of zeroes are 3.
The x intercepts are 0 and -5.
the y intercepts are (-3,0) and 0,-3).
What is a parabola?A quadratic function's graph is called a parabola. According to Pascal, a parabola is a circle's projection. Galileo explained that projectiles falling under the influence of homogeneous gravity have a path known as a parabolic path. Many bodily movements have a curvilinear course with the shape of a parabola. In mathematics, a parabola is any mirror-symmetrical plane curve that typically has the shape of a U. Here, our goal is to comprehend the origin of the parabola's standard formula, its several standard forms, and its characteristics. A parabola is an equation of a curve where a point on the curve is equally far from a fixed point.
To know more about parabola ,visit:
https://brainly.com/question/21685473
#SPJ13
a line passes through the point (-8, -7) and has a slope of 3/2. write an equation in slope-intercept form for this line.
Answer:
y=(3/2)x+5
Explanation:
Given a line with a slope of 3/2 that passes through the point (-8, -7).
To determine the equation of the line, we first use the point-slope form below.
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ m=\frac{3}{2} \\ (x_1,y_1)=(-8,-7) \end{gathered}[/tex]Substituting, we have:
[tex]\begin{gathered} y-(-7)=\frac{3}{2}(x-(-8)) \\ y+7=\frac{3}{2}(x+8) \end{gathered}[/tex]Next, we express the line in the slope-intercept form (y=mx+b).
[tex]\begin{gathered} y+7=\frac{3}{2}x+12 \\ y=\frac{3}{2}x+12-7 \\ y=\frac{3}{2}x+5 \end{gathered}[/tex]The equation of the line in slope-intercept form is:
[tex]y=\frac{3}{2}x+5[/tex]Please I need help please I need help
The number of groups of 1/9 in 2 are 18.
The value of 2 ÷ (4/9) = 9/2.
We can see a number line with equal intervals of 1/9.
We have to find the number of groups of 1/9 in 2 and the value of 2 ÷ (4/9) .
As we can see in the number line,
2 is two intervals after 16/9 , hence,
2 = 16/9 + 1/9 + 1/9 = 16/9 + 2/9 = 18/9
We can write it as,
(1/9)*18
Hence, there are 18 groups of 1/9 in 2.
The value of 2 ÷ (4/9) = 2*(9/4) = 18/4 = 9/2.
To learn more about number line, here:-
https://brainly.com/question/13425491
#SPJ1
Help 50 points please show your work
DUE TODAY
Answer:
3. 72 questions
4. 180 students
5. 120 students
6. 9 puzzles
Step-by-step explanation:
Question 3[tex]\begin{aligned}\implies \rm 80\% \;of \; 90 \; questions & =80\% \times 90\\&= \dfrac{80}{100} \times 90\\& = \dfrac{7200}{100}\\& = 72\end{aligned}[/tex]
Therefore, a student must answer 72 questions correctly to pass the test.
Question 4[tex]\begin{aligned}\implies \rm 40\%\; of\; 450\; students & = 40\% \times 450\\& = \dfrac{40}{100} \times 450\\& = \dfrac{18000}{100}\\& = 180\end{aligned}[/tex]
Therefore, at least 180 students must plan to attend in order for the school to have the festival.
Question 5[tex]\begin{aligned}\implies \rm 40\% \; of \; 300 \; students & = 40\% \times 300\\& = \dfrac{40}{100} \times 300\\& = \dfrac{12000}{100}\\& = 120\end{aligned}[/tex]
Therefore, 120 students chose recycling.
Question 6If 55% of 20 puzzles are completed, then 45% of 20 puzzles are left to complete, since 100% - 55% = 45%.
[tex]\begin{aligned}\implies \rm 55\% \; of \; 20 \; puzzles & = 45\% \times 20\\& = \dfrac{45}{100} \times 20\\& = \dfrac{900}{100}\\& = 9\end{aligned}[/tex]
Therefore, Magdalena has 9 puzzles left to complete.
Lillian país sixty one dollars and thirty nine venta for groceries . The digit 3 in this number has a value of a.(3×10) dollarsb.(3×1) dollarsc.(3×0.01) dollard.(3×0.1) dollar
Given in the scenario:
a.) One Dollar and Thirty Nine, in digit, is equal to $1.39.
The digit 3 in $1.39 is in the Tenth (0.1) decimal place.
Therefore, the digit has a value of 3 x 0.1 dollars which is equal to $0.3.
The answer is letter D.
One fifth or r is 15 algebraic expression algebraic expression
The value of the base number, r is 75 and the corresponding algebraic expression is 0.2r = 15.
What is an algebraic expression and how is it formed?
Variables and constants are used to create algebraic expressions using a variety of techniques. It is a mathematical expression made up of terms and includes variables, constants, and algebraic operations like addition, subtraction, etc. When operations like addition, subtraction, multiplication, division, etc. are performed on any variable, the resulting equations are called algebraic expressions. An algebraic expression (or variable expression) is a grouping of terms that have undergone operations like addition, subtraction, multiplication, division, etc.
Given, the base number is = r
One fifth of the base number will be = (1/5)r = 0.2r
Also, one fifth of r is 15, thus 0.2r = 15 ⇒ r = 15/0.2 = 75
Thus, the value of the base number, r is 75 and the corresponding algebraic expression is 0.2r = 15.
To learn more about this, tap on the link below:
https://brainly.com/question/4344214
#SPJ9
The algebraic expression "One fifth of r is 15" is represented as r/5 = 15. Solving for r, r = 75.
Let's break this down step-by-step:
1. "One fifth of r" means you are dividing r by 5, which in algebraic terms would be represented as r/5.
2. The phrase "is" in algebra typically signifies the equals sign (=).
3. Finally, "15" is just the number 15.
Putting these together, the algebraic expression for "One fifth of r is 15" is r/5 = 15.
To clarify this further, this equation is saying that if you take the value of r, divide it by 5, the result should be 15. This is an equation you can solve to find the value of r.
If you're curious, solving this equation for r would look like this:
Step 1: Start with the equation r/5 = 15.
Step 2: To isolate r, you need to get rid of the division by 5. You can do this by multiplying both sides of the equation by 5.
Step 3: This gives you r = 15 * 5.
Step 4: Calculate 15 * 5 to get 75. So r = 75.
So, if one fifth of r is 15, then r would be 75.
To know more about algebraic expression refer here:
https://brainly.com/question/28884894
#SPJ11
Please help me with both I’ll mark you brainly
Answer:
See picture below
Step-by-step explanation:
It took a long time for my picture to show up.
7. Find the value of the following expression when x = 4, y = 8, a=3, b= 5: (4x²-a²¹ (²
a²¹ (x ² + √x + b)) ³
In linear equation, - 23,040 is the value of the expression.
What is linear equation in math?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.x = 4, y = 8, a=3, b= 5
= [tex]4x^{1/2} - ax^{-1} ( yx^{1/3} + \sqrt{x} + b )x^{3}[/tex]
value of x = 4, y = 8, a=3, b= 5
= [tex]4 * 4^{1/2} - 3 * 4x^{-1} ( 8^{1/3} + \sqrt{4} + 5) 4^{3}[/tex]
= 4 * 2 - 3 * 4 * 4 ( 2 + 2 + 5 ) * 64
= 8 - 48 ( 9 ) * 64
= - 40 * 9 * 64
= - 360 * 64
= - 23,040
Learn more about linear equation
brainly.com/question/11897796
#SPJ13
a. Tell whether the model represents exponential growth or exponential decay. b. Identify the annual percent increase or decrease in the value of the bike. c. Estimate when the value of the bike will be $50.
we have the function
[tex]y=200(0.75)^t[/tex]In this problem, we have an exponential decay function because the value of the base of the exponential function is less than 1
b=0.75
b< 1 -----> exponential decay function
Part b
Find out the annual percent decrease
b=0.75
b=1-r
0.75=1-r
r=1-0.75
r=0.25
r=25%
therefore
The annual percent decrease is 25%Part c
For y=$50
substitute in the given equation
[tex]50=200(0.75)^t[/tex]Solve for t
[tex]\frac{50}{200}=(0.75)^t[/tex]Apply log on both sides
[tex]\log (\frac{50}{200})=\log (0.75)^t[/tex][tex]\log (\frac{50}{200})=x\cdot\log (0.75)[/tex]x=4.8 yearsx-3=x^2 determines whether the equation is linear in x.
You have the following equation:
x - 3 = x²
In order to determine if the given equation is linear in x, you consider that a linerar equation is an equation in which the maximum exponet of the variable is 1. In this case you have that the higher exponent of the variable, which is x, is 2. 2 is the higher exponent, Becuase of that, the given equation is not linear, instead of that, the equation is quadratic.
What is the rate of change in the graph below?
Answer
Rate change = 1
Step-by-step explanation:
Rate change means the slope on the graph
Slope = rise / run
Rise = y2 - y1
Run = x2 - x1
Slope = y2 - y1 / x2 - x1
From the graph, Given the picked points
(5, 5) and (-5, -5)
x1 = 5, y1 = 5, x2 = -5, and y2 = -5
Slope = -5 - 5 / -5 -5
Slope = -10 / -10
Slope = 1
Hence, the rate change is 1
I need some help please do this
The coefficient of z² is 25 and the constant term is 28. The product of 25 and 28 is 700. The factors of 700 which sum to -55 are -20 and -35, so:
[tex]\begin{gathered} 25z^2-55z+28=(5z-4)(5z-7) \\ so\colon \\ z=\frac{4}{5} \\ and \\ z=\frac{7}{5} \end{gathered}[/tex]How are the coordinates of the extreme value and the equation from part B in the form y=(x - h)² - Crelated? extreme value is at (1, -8)
The coordinates of the extreme value or the vertex of the parabola is the (h, -c) of the equation form y = (x - h)² - c.
What do I need to know?
[tex]-2f(x)\implies -2[\log_2(x)]\implies \log_2\left( x^{-2} \right)\implies \log_2\left( \cfrac{1}{x^2} \right)=g(x) \\\\[-0.35em] ~\dotfill\\\\ f(x-2)\implies \log_2(x-2)=j(x) \\\\[-0.35em] ~\dotfill\\\\ f(x)+2\implies \log_2(x)+2=h(x)[/tex]
Solve for x using the "Quadratic Formula". You MUST show every level of work !!!!!!!!!!!!!!!!!
3x^2-5x+1
The solution to the quadratic equation 3x² - 5x + 1 using quadratic formula is; x = (5 + √13)/6 or (5 - √13)/6
How to use the quadratic formula?The general form of any quadratic equation is written as;
ax² + bx + c = 0
The quadratic formula that is used to solve this is given by;
x = [-b ± √(b² - 4ac)]/(2a)
Now, we are given the quadratic equation as;
3x² - 5x + 1
Thus, using quadratic formula we have;
x = [-(-5) ± √((-5)² - (4 * 3 * 1))]/(2 * 3)
x = [5 ± √(25 - 12)]/6
x = (5 ± √13)/6
x = (5 + √13)/6 or (5 - √13)/6
Read more about quadratic formula at; https://brainly.com/question/8649555
#SPJ1
Lalile vatte... Student: Login Students and Famili... ReadWorks C Clever | Portal Madison White - Su... XL for School: Practice & Problem Solving https://useast2-ww... 7.5.PS-18 Question Help Zari folds the net shown into a model of a solid figure. How many edges, faces, and vertices does the model have? The model has edges, faces, and vertices. Enter your answer in the edit fields and then click Check Answer: All parts showing Clear All Check Answer Review
Looking at the figure, the faces of the solid figure will be made from each small triangle in the 2D figure, so since we have 4 small triangles, the solid figure will have 4 faces.
Also, the central small triangle will be the base of the solid figure, and there we have 3 vertex. Each vertex of the bigger triangle will unite and become only one vertex in the solid figure, so in total we will have 4 vertices.
Then, for the number of edges, we have the 3 edges of the base of the solid figure, and we have more 3 edges, each one going from one vertex of the base into the fourth vertex of the solid figure. So in total we have 6 edges.
It's easier to see and count this amount of faces, vertices and edges when we fold the 2D figure and create the solid figure:
