the dimensions of a high school football field are represented by a width of 2x - 40 feet and a length of 3x + 60 feet
what expression represents the binomial factors you would multiply to find the area of the football field?
Answers
(WORK SHOWN BELOW)
Related Questions
What kind of relationship is expressed below?
5x+3=7
a. equation
b. function
c. inequality
Answers
Answer:
a. equation
Step-by-step explanation:
The LHS is equal to the RHS
Two or more expressions with an Equal sign is called as Equation. Hence Equation is the relationship of 5x+3=7.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given is 5x+3=7
It is a equation because the left hand side is equal to the RHS side
It has a equal sign.
Where as in expressions there will be no equal sign.
Expression has only numbers, operators and variables.
5x+3=7 is not a function as it has no y variable or other variable.
Hence equation is the relationship of 5x+3=7.
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Evaluate the expression below when x = 3 54 ÷ 2•3-x²
Answers
Answer:
72
Step-by-step explanation:
54/2(3)−3^2
= 54/2(3)−3^2
=72
Integrate h(x,y)=(x y)i (y2−x)j over the closed curve that begins at (−7,0), goes along the x-axis to (7,0), and returns to (−7,0) by the upper part of the circle x2 y2=49
Answers
Green's theorem in vector calculus connects a line integral around a simple closed curve C to a double integral over the plane area D limited by C.
What is Green's Theorem?Green's theorem in vector calculus connects a line integral around a simple closed curve C to a double integral over the plane area D limited by C. It is a two-dimensional variant of Stokes' theorem.
The path of the particle is positively oriented so we can use Green's theorem to find the work done in moving particle along C.
The work done is given by [tex]\oint_{c}\vec F \cdot \vec{dr}[/tex]
Here, [tex]\vec F[/tex](x,y)=<x+y, y²-x>
Then [tex]\oint_{c}\vec F \cdot \vec{dr} = \oint_{c}(x+y)dx+(y^2-x)dy[/tex]
In comparison with [tex]\oint_{c}Pdx+Qdy[/tex] what we have,
P= x+y and Q=y²-x
Then [tex]\dfrac{\partial P}{\partial y} = 1[/tex] and [tex]\dfrac{\partial Q}{\partial x} =-1[/tex]
Using the Green's Theorem,
[tex]\oint_{c}Pdx+Qdy = \iint_{D} \left ( \dfrac{\partial Q}{\partial x}-\dfrac{\partial P}{\partial y}\right )dA[/tex]
Here D in polar Co-ordinates is given by,
D={(r,θ) : 0 ≤ r ≤ 7, 0 ≤ θ ≤ π}
Then
[tex]\oint_{c}(x+y)dx+(y^2-x)dy\\\\=-\iint_D 2dA\\\\=-\int_{\pi}^{0}\int_{0}^7 2r drd\theta\\\\=-49\pi[/tex]
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Consider the graph of the function . f(x) = ln x
Answers
Answer:
Behold! Try using Desmos or something
#PlatoAccuracyMatters
#WhaddyaMeanPlatoLives?
Step-by-step explanation:
The functions and their matching properties are:
[tex]h(x) = f(x - \frac{1}{2}) \to[/tex] x-intercept at (1.5,0)[tex]j(x) = f(x) - \frac{1}{2} \to[/tex] vertical asymptote x = 0[tex]g(x) = -\frac 12f(x - 2) \to[/tex] function decreases as x increasesHow to match the functions with their properties?To do this, we start by plotting the graphs of the functions h(x), j(x) and g(x)
Next, we list out the properties from the graphs
From the graphs of the functions (see attachment), we have the following highlights:
[tex]h(x) = f(x - \frac{1}{2})[/tex] has an x-intercept of (1.5,0)[tex]j(x) = f(x) - \frac{1}{2}[/tex] has a vertical asymptote of x = 0The function [tex]g(x) = -\frac 12f(x - 2)[/tex] decreases as x increasesRead more about functions at:
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What is the probability of a flowering plant bearing flowers in january if it is a tulip? a. 68% b. 72% c. 76% d. insufficient data
Answers
The probability of a flowering plant bearing flowers in January if it is a tulip is 68%.
How to find the Probability?
From the attached table, we see the respective probabilities of each flower bearing flowers in January as;
Tulip = 68%
Anemon = 81%
Manzanita = 77%
Peony = 70%
Fuschia Flowering currant = 74%
Total = 76%
Thus, it is clear that the probability of a flowering plant bearing flowers in January if it is a tulip is 68%.
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Answer: insufficient data
Step-by-step explanation: Plato 100% right
In each problem below, find the total area of the shaded regions.
Thanks!
Answers
The area of the shaded region = area of semicircle - area of triangle ACB = 11.32 cm².
What is the Area of a Semi-circle and Triangle?Area of a triangle = 1/2(base)(height).
Area of a semi-circle = 1/2(πr²).
m∠ACB is a right triangle based on the central angle theorem. Therefore, ΔACB is a right triangle.
Radius of circle = OC = 4 cm
CB = 4 cm
Diameter AB = 2(4) = 8 cm
Using the Pythagorean theorem, find AC in ΔACB:
AC = √(AB² - CB²)
AC = √(8² - 4²)
AC ≈ 6.9 cm
Area of ΔACB = 1/2(CB)(AC)
Area of ΔACB = 1/2(4)(6.9)
Area of ΔACB ≈ 13.8 cm²
Area of semicircle = 1/2(πr²) = 1/2(π)(4²)
Area of semicircle ≈ 25.12 cm²
Area of the shaded region = area of semicircle - area of triangle ACB = 25.12 - 13.8
Area of the shaded region = 11.32 cm²
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can someone help me with this question? Thank you!
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's evaluate ~
The given expression is :
[tex]\qquad \sf \dashrightarrow \:4x + 8[/tex]
plug the value of x as 3
[tex]\qquad \sf \dashrightarrow \:4(3) + 8[/tex]
[tex]\qquad \sf \dashrightarrow \:12 + 8[/tex]
[tex]\qquad \sf \dashrightarrow \:20[/tex]
Therefore, the required value is 20
What is another name for an X-Value
9TH GRADE ALGEBRA 1
A-output values
B- range
C- domain
D- function
Answers
Answer:
see explanation
Step-by-step explanation:
the set of x- values ( the input ) are called the domain
Answer:
domain
Step-by-step explanation:
as the y values is the range
What is the value of log 256/ log 1024
Answers
Answer:
0.8
Step-by-step explanation:
The change of base formula for logarithms can be used to find this value exactly. (Your calculator can also tell you.)
[tex]\log_b(a)=\dfrac{\log(a)}{\log(b)}[/tex]
__
Using this relation with the given numbers, we have ...
[tex]\dfrac{\log(256)}{\log(1024)}=\dfrac{\log(2^8)}{\log(2^{10})}=\dfrac{8\cdot\log(2)}{10\cdot\log(2)}=\dfrac{8}{10}\\\\\boxed{\dfrac{\log(256)}{\log(1024)}=0.8}[/tex]
What is x in the figure?
Answers
im not sure I'd need to see the figure
I hope it helps you with my answer!:)
Jamie had seven posters, but only three could fit on his closet door. How many different ways can he arrange the three posters out of the seven on his closet door?
A. 52.5
B. 210
C. 1260
D. 5,040
Answers
Explanation:
Jamie has 7 choices for the first slot, then 6 choices for the next, and 5 choices for the final slot. Order matters. He has 7*6*5 = 210 permutations.
Alternatively you can use the nPr permutation formula with n = 7 and r = 3.
That formula is
[tex]nPr = \frac{n!}{(n-r)!}[/tex]
The exclamation marks indicate factorials. For instance, 4! = 4*3*2*1 = 24.
Answer:
B. 210 is correct!
Step-by-step explanation:
I got it correct on the quiz.
PLEASE HELP ILL MAKE YOU THE BRAINIEST
Find the value of x
Answers
Answer:
12.04
Step-by-step explanation:
add 8 and 9 by the power of two: 8^2+9^2
that equals to 145
find the square root of 145 and that equals to 12.04
Describe a situation that can be represented by an equation and a situation that can be represented by an inequality. What features determine how the situation should be represented?
Answers
The inequality sign can be used when referring to two quantities that are not the same size.
What is an inequality?An inequality is used to express a condition whereby the two quantities are not the same.
For instance, if we have the same number of students inside and outside a classroom, we can use the equality sign. In a case where we do not have the same number of students inside and outside the classroom, we can use the inequality sign.
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(Will mark Brainliest)Function g can be thought of as translated(shifted)version of f(x)=x²
Write The equation for g(x)
g(x)=__?__
Answers
Answer:
g(x) = (x + 2)² + 1
Explanation:
Given parent function: f(x) = x²
If the function translates two units right
g(x) = (x + 2)²If the function translates one units up
g(x) = (x + 2)² + 1 ← final function.Hypothesis Test for the Population Mean (II)
A team averaging 110 points is likely to do very well during the regular season. The coach of your team has hypothesized that your team scored at an average of less than 110 points in the years 2013-2015. Test this claim at a 1% level of significance. For this test, assume that the population standard deviation for relative skill level is unknown.
You are to write this code block yourself.
Use Step 3 to help you write this code block. Here is some information that will help you write this code block. Reach out to your instructor if you need help.
The dataframe for your team is called your_team_df.
The variable 'pts' represents the points scored by your team.
Calculate and print the mean points scored by your team during the years you picked.
Identify the mean score under the null hypothesis. You only have to identify this value and do not have to print it. (Hint: this is given in the problem statement)
Assuming that the population standard deviation is unknown, use Python methods to carry out the hypothesis test.
Calculate and print the test statistic rounded to two decimal places.
Calculate and print the P-value rounded to four decimal places.
Answers
The test statistic is -0.46 and the p-value is gotten as 0.3340
How to Calculate the P-value?The question is not complete because the data from the sample is 105, 107, 117, 106, 110.
Mean of sample is;
Mean = (105 + 107 + 117 + 106 + 110)/5
Mean; x' = 109
From online standard deviation calculator, the standard deviation of the sample is; S = 4.848
Now, the claim is that your team scored an average significantly less than 110 points. Thus, let's define the hypothesis as;
Null Hypothesis; μ = 110
Alternative Hypothesis; μ < 110
standard error of the mean; S_m = S/√n
S_m = 4.848/5
S_m = 2.17
Thus, the t-statistic is;
t = (x' - μ)/S_m
t = (109 - 110)/2.17
t = -0.46
Degree of freedom for this sample size is;
D.F = N - 1 =5 - 1 = 4
From online p-value from t-score calculator, we have;
p-value = 0.3340
The p-value is greater than the significance value and as such we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that your team scored an average significantly less than 110 points.
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Solve the system of equations using subtraction.
4x - 2y = 10
4x + y = 19
Answers
Answer:
y=3 x=4
Step-by-step explanation:
4x - 2y = 10
4x + y = 19
-3y=-9
the 4x canceled out.
y=3
plug in y into one of the equations
4x + 3 = 19
4x=16
x=4
Hope this helps!
If not, I am sorry.
Answer:
(4, 3 )
Step-by-step explanation:
4x - 2y = 10 → (1)
4x + y = 19 → (2)
subtract (1) from (2) term by term
(4x - 4x) +y - (- 2y) = 19 - 10
0 + y + 2y = 9
3y = 9 ( divide both sides by 3 )
y = 3
substitute y = 3 into either of the 2 equations and solve for x
substituting into (2)
4x + 3 = 19 ( subtract 3 from both sides )
4x = 16 ( divide both sides by 4 )
x = 4
solution is (4, 3 )
Can someone help me with this please
Answers
Answer:
D
Step-by-step explanation:
A function input can only have ONE output value
so the number 5 can't output two different numbers
Write 0.15 as a fraction in the simplest form.
Answers
Answer:
3/20
Step-by-step explanation:
0.15 = 15/100
This is not simplified though :
15/100 ÷ 5/5 = 3/20
This is simplified
Hope this helped and brainliest please.
What is the value of a?
A. 12
B. 15
C. 17.25
D. 21.25
Answers
Answer:
C 17.25
Step-by-step explanation:
i think aanswer its c
answer this now for 10
Answers
Answer:
15
Step-by-step explanation:
First lets simplify the left side :
5/12 + 5/12 + 5/12 = 15/12
15/12
To make the right side into 15/12 we must multiply it by 15:
15 × 1/12 = 15/12
So the blank is 15
Hope this helped and brainliest please.
Answer:
15/1
Step-by-step explanation:
you simply add the 5's only not the 12. when u multiply 1 and 12 u get 12 and when you multiply 15 and 1 you get 15
Solve the compound inequality y + 7 ≥ –1 and y∕4 + 3 ≤ 5
A)
6 < y ≤ 32
B)
–8 < y ≤ 8
C)
–8 ≤ y ≤ 8
D)
6 ≤ y ≤ 32
Answers
Working alone, steve can complete a task in 6 hours. working simultaneously at their respective constant rates, he and mike can complete the same task in 4 hours. how long will it take mike working alone to complete the task
Answers
Answer:
It would take him 4 hrs.
Step-by-step explanation:
Hope this helps!
Time taken by mike alone to finish the Task is 12 hours.
steve can complete a task in 6 hours.
he and mike can complete the same task in 4 hours.
What is rate of change?
Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
Rate of steve finishing task per hour = 1/6
Rate at which both finishes the task per hour = 1/4
Rate at which mike finishes the task per hour = M
now
M = 1/4-1/6
M = 3-2/12
M = 1/12
here, mike finishes his task at 12 hours
Thus, Time taken by mike alone to finish the Task is 12 hours.
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Which statement best describes the function? Help. Please
Answers
The correct answer is option c. Which is the function is increasing when x is greater than zero.
What is a function?A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
In the graph, we can see that at the origin the graph becomes zero. When the graph proceeds rightwards the value of the function is increasing as the value of x is increasing.
Therefore the correct answer is option c. Which is the function is increasing when x is greater than zero.
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what is the volume of a cube if the diagonal of one side is 5sqrt(2)
Must include diagram
Answers
The what is the volume of a cube if the diagonal of one side is 5sqrt(2) is V = 125 cubic units
What is a square?A square is a shape with 4 sides
Let the side of the square be x units. If the length of the diagonal is 5√2, the value of x can be expressed using the pythagoras theorem as shown;
x² + x² = (5√2)²
2x² = 25(2)
x² = 25
x = 5 units
Determine the volume
V = x³
V = 5³
V = 125 cubic units
Hence the what is the volume of a cube if the diagonal of one side is 5sqrt(2) is V = 125 cubic units
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B. Solve the following inequalities and graph their solution sets. Use red or blue marker and ruler for the graph. 1. 3x-7 ≤ 5 Solution:
Answers
Answer:
[tex]3x \leqslant 5 + 7 \\ 3x \leqslant 12 \\ x \leqslant 4[/tex]
Step-by-step explanation:
hope it helps
Which equation can be used to solve for x in the following diagram?
Answers
The equation we can use to find the value of x in the diagram given is: B. (5x + 30) + 5x = 90.
What are Complementary Angles?Angles that give a sum of 90 degrees when added are referred to as complementary angles.
The angles, (5x + 30) and 5x are complementary angles, since the sum of both gives a right angle (90 degrees).
Therefore, the equation that we can use to find x in the diagram is: B. (5x + 30) + 5x = 90.
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Simplify the expression to yield a quadratic trinomial in standard form.
6x(x-4)-(3x− 2)
Answers
Step-by-step explanation:
6x² - 24x - 3x + 2
6x² - 27x + 2
Estimate the amount of time she spent at ballet to the nearest hour
Answers
The amount of time that Lila spent at Yoga and Ballet are approximately equal to 26 hours and 13 hours respectively.
How to calculate the time spent?First of all, we would calculate the amount of time that Lila spent at Yoga by multiplying the total time spent by the percentage of time spent on Yoga as follows:
Yoga time = 92 × 28/100
Yoga time = 92 × 0.28
Yoga time = 25.76 ≈ 26 hours.
Part B.Next, we would calculate the amount of time that Lila spent at Ballet by multiplying the total time spent by the percentage of time spent on Ballet as follows:
Ballet time = 92 × 14/100
Ballet time = 92 × 0.14
Ballet time = 12.88 ≈ 13 hours.
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Complete Question:
The circle graph shows how Lila spent her after-school time during the month of October. Lila’s Activities Part A If Lila spent a total of 92 hours on these activities in the month of October, estimate the amount of time she spent at Yoga, to the nearest hour.
Part B. Estimate the amount of time she spent at Ballet, to the nearest hour.
The simplified ratio of 32/12 is:
Answers
Answer:
8/3
Divide both sides by the GCF, 4.
32 ÷ 4 = 8
12 ÷ 4 = 3
32/4=8 12/4=3
8:3
Represent each cylinder as a net. Find the surface area of each cylinder.
Answers
Answer:
113.04m^2
Step-by-step explanation:
Surface area for Base and top
[tex]2*\pi d=2*3.14*4=25.12[/tex]
Surface area for the other part
[tex]\pi d*h = 12.56*7 = 87.92[/tex]
you will get
113.04m^2