The dimensions of algebra tile rectangles and area models can be used to represent expressions and multiplication by measuring the length and breadth of the tiles and multiplying them.
What is a Rectangle?This is a plane figure which is referred to as a quadrilateral and has four right angles. The area is calculated by the following below:
Area = Length × breadth.
In cases where the algebra tile rectangles is used , it is ideal to first measure the length and the breadth after which they are then multiplied to give the appropriate answer. For example if the length is 7cm and the breadth is 6cm then the area will be 7cm × 6cm = 42cm²
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What is the range of the following function
The range of the given function is y ≥ 0 which is option B.
From the graph:
Some points (-1,1),(-2,2),(0,0),(1,1),(2,2)
Range is defined as the set of y values or outputs.
range = 0,1,2,3 ......
Means range starts from zero to infinite(0 to all positive values.
so range = y ≥ 0
Therefore range of the given function is y ≥ 0 which is option B.
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a square with side length 2 and a circle share the same center. the total area of the regions that are inside the circle and outside the square is equal to the total area of the regions that are outside the circle and inside the square. what is the radius of the circle?
The radius of the circle which is overlapping the square is 1.12.
The length of side of the square is 2. Let us say that the radius of the circle is R.
The circle and the square are overlapping on each other.
The area of the region that are outside the circle but inside the square are equal to the area of the region which are inside the circle but outside the square.
Let us name the area of the region that are outside the circle but inside the square as M.
Let us name the area of the region which are inside the circle but outside the square as N.
Let us say that the area that is common in both is C.
The area of the square is 4.
So, according to the question,
M + C = 4
And,
N + C = πR²
And we know, M = N,
So,
C - πR² = C - 4
R = 2/√π
R = 1.12.
So, the radius of the circle is 1.12
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An elevator can carry 28 adult or 30 children at one time during the course of the day the elevated acre carries a full passenger load 74 times all passengers were adults how many more people would the elevator carry then if all passengers were adults
The number of people the elevator would carry more if all passengers were children would be = 148 extra people.
What is an elevator?An elevator is defined as the machine that is being installed in tall buildings which helps to transport individuals either to slower level or a higher level of the building.
The number of adults the elevator can carry at a time = 28 adults.
The number of children the elevator can carry at a time = 30 children.
During the course of the day the total capacity of the elevator= 28 × 74 = 2,072.
The number of people the elevator would carry more if all the passengers where children would be;
30 × 74 = $2,220
2,220 - 2,072 = 148 extra people.
Therefore, the number of people the elevator would carry more if all passengers were children would be = 148 extra people.
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v = u + at
u = 2 a = -5 t = 1/2
Work out the value of v
Answer:
-.5
Step-by-step explanation:
u=2+-2.5=.5
How do i solve this one ? (Equilateral Angle ?)
Write the equation of the circle in standard form that has the following: Center (-5,7) and Radius = 4
Answer:
[tex](x+5)^{2}+(y-7)^{2} =16[/tex]
Step-by-step explanation:
The Standard Form of Circle Equation whose Center is at ( h , k) and Radius of r is given by
[tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]
So for our Question
we have ( h , k ) = ( -5 , 7 ) and r = 4
By substitution
[tex](x-(-5))^{2}+(y-7)^{2} =4^{2}[/tex]
Simplify [tex](x+5)^{2}+(y-7)^{2} =16[/tex]
please help ASAP
A toy cannon ball is launched from a cannon on top of a platform.
The function h(t) =-5+ 2 + 20+ + 4 gives the height, in meters, of the ball t seconds after it is launched.
Write and solve an inequality to find the times where the ball is more than 12 meters above the ground.
Round to the nearest hundredth.
Answer:
hello\\
Step-by-step explanation:
Find the slope and the y-Intercept of the line.
-5x + 4y = -3
Write
your answers in simplest form.
Answer:
slope=5/4 y intercept=-3/4
Step-by-step explanation:
put it into slope intercept form y=5/4x-3/4
pull out 5/4 as slope and -3/4 as y intercept
Suppose that y varies directly with .x, and y=-8 when x=2.
(a) Write a direct variation equation that relates x and y.
Equation:
(b) Find y when x = 5.
OC
Answer:
y = -4x
b. y = -20.
Step-by-step explanation:
y = kx
-8 = 2k
k = -8/2
k = -4
y = -4x
y = kx
y = -4 × 5
y = -20
the sales force for a publishing company is constantly on the road trying to sell books. as a result, each salesperson accumulates many travel-related expenses that he or she charges to a company-issued credit card. to prevent fraud, management hires an outside company to audit a sample of these expenses. for each salesperson, the auditor prints out the credit card statements for the entire year, randomly chooses one of the first 20 expenses to examine, and then examines every 20th expense from that point on. which type of sampling method is the auditor using for each salesperson?
Systematic random sampling is the sampling method is the auditor using for each salesperson.
Define sampling method.Sampling techniques in a statistical study refer to how participants are chosen from the population to participate in the study. If a sample isn't chosen at random, it will likely be skewed in some way, and the results might not be generalizable.
Given,
The sales force for a publishing company is constantly on the road trying to sell books. as a result, each salesperson accumulates many travel-related expenses that he or she charges to a company-issued credit card. to prevent fraud, management hires an outside company to audit a sample of these expenses. for each salesperson, the auditor prints out the credit card statements for the entire year, randomly chooses one of the first 20 expenses to examine, and then examines every 20th expense from that point on.
Systematic random sampling is the sampling method is the auditor using for each salesperson.
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12. 15-2x) ≤ 11 What is the solution set to the inequality above?
its 4 cause i have done this
First, we isolate the variable on one side of the inequality by subtracting 15 from both sides:
15 - 2x - 15 ≤ 11 - 15
Simplifying the left side, we get:
-2x ≤ -4
Next, we divide both sides by -2. Since we are dividing by a negative number, we need to flip the inequality sign:
-2x/-2 ≥ -4/-2
Simplifying, we get:
x ≥ 2
Therefore, the solution to the inequality 15-2x ≤ 11 is x ≥ 2.
add me cuties
For f(x)=3x^2 – x+5, find the following 2f(–3) – f(4)=
Answer:
33
Step-by-step explanation:
evaluate f(- 3) by substituting x = - 3 into f(x)
f(- 3) = 3(- 3)² - (- 3) + 5 = 3(9) + 9 + 5 = 27 + 14 = 41
evaluate f(4) by substituting x = 4 into f(x)
f(4) = 3(4)² - 4 + 5 = 3(16) + 1 = 48 + 1 = 49
Then
2f(- 3) - f(4) = 2(41) - 49 = 82 - 49 = 33
There are 14 students in a homeroom. How many different ways can they be chosen
to be elected President, Vice President, Treasurer, and Secretary?
There are 24,024 different ways to choose a President, Vice President, Treasurer, and Secretary from a group of 14 students.
Permutation is the arrangement of objects in a specific order. It is the number of different ways in which a set of objects can be arranged in a specific order. The formula to calculate permutation is:
[tex]P(n, r) = n! / (n - r)![/tex]
Permutations are commonly used in mathematics, science, and engineering, and are useful for solving problems that involve counting the number of possible arrangements of objects or events.
We can use the formula for permutations to find the number of ways to choose the four officers from a group of 14 students.
The number of permutations of n objects taken r at a time is given by:
[tex]^nP_r = n! / (n - r)![/tex]
where n! denotes n factorial, which is the product of all positive integers up to n. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
In this case, we want to choose 4 students from a group of 14, and the order in which they are chosen matters (since we are electing them to specific positions). So we have:
n = 14
r = 4
The number of ways to choose the four officers is therefore:
[tex]^1^4P_4 = 14! / (14 - 4)! = 14 \times 13 \times 12 \times 11 = 24,024[/tex]
Therefore, there are 24,024 different ways to choose a President, Vice President, Treasurer, and Secretary from a group of 14 students.
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Given that 27 ^-1/3 = 9^1/4÷ 3^x+1
find the exact value of x.
Answer:
decimal form> -4.87577494
Exact form> -In(212)/In(3)
euclid, pythagoras, ptolemy, and hypatia are playing a game where they all have to think of a number, and then cube that number 20 times. hypatia doesn't want to cube large numbers, so she chooses the number $1$. euclid thinks the same thing and also chooses the number $1$. however, pythagoras and ptolemy don't think ahead and pythagoras chooses $2$ and ptolemy chooses $-2$. after they finish cubing their numbers (pythagoras and ptolemy take a while), all four players write their final numbers on a piece of paper. what is the sum of the numbers they wrote on the piece of paper?
The sum of the numbers they wrote on the piece of paper is 2,305,843,009,213,693,954
What is Pythagoras's theorem?
The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle or in standard algebraic notation, a² + b² = c², is equal to the squares on the legs.
What is the sum of numbers?
The outcome or conclusion we arrive at when we add two or more integers is known as the sum. Addends are the numbers that are added.
Here, we calculate the sum of the given numbers
= (1³)^²⁰ + (1³)²⁰ + (2³)²⁰ + (-2³)²⁰
= 2,305,843,009,213,693,954
Hence, the sum of the numbers they wrote on the piece of paper is 2,305,843,009,213,693,954.
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united airlines flight 179 is a nonstop flight from boston to san francisco. during 2016 the mean length of time for all flights was 357.9 minutes and population standard deviation was 20.18 minutes. you want to construct a 95% confidence interval for the mean length of time of the flight in 2018 based on a sample of flights in 2018. what is the minimum size of the sample needed in order to have a margin of error of two minutes or less?
Using the concepts of statistics, we got that at least 79 is the minimum size of the sample needed in order to have a margin of error of two minutes or less, when we need to construct a 95% confidence interval for the mean length of time.
We have mean as 357.9minutes and standard deviation as 20.18 minutes.
To have the margin error 2 minutes or less than it we need to take
Z-score of the given sample distribution which is given by:
Z=(X-μ)/σ
The z-score measures how many standard deviations the measure is above or below the mean.Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation .Here ,μ=357.9,σ=20.18,X=?,Z=95/100
=>95/100=(X-357.9)/20.18
=> -0.95×20.18=X-357.9
=>X=-357.9+0.95×20.18
=>X=-357.9+19.171
>X=-338.729
When X=-338.729,the p score is around 79.
Hence, when I want to construct a 95% confidence interval for the mean length of time of the flight in 2018 based on a sample of flights in 2018., the minimum size of the sample needed in order to have a margin of error of two minutes or less is 79.
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Please help me (see attachment)
What is the slope for the line shown?
The answer choices are -1/3, 8, 3, and -3.
The tables represent two linear functions in a system. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 26, 18, 10, 2. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 14, 8, 2, negative 4. What is the solution to this system? (1, 0) (1, 6) (8, 26) (8, –22) Mark this and return
From the given table which represents the two system of linear function is given by y = -4x +10 and y = -3x +2 , the solution of the system of linear function is (x, y) = (8 , -22).
As given in the question,
Table which represents the system of linear function are as follow:
table 1:
x: -4 -2 0 2
y: 26 18 10 2
table 2:
x: -4 -2 0 2
y: 14 8 2 -4
For table1 :
System of linear function:
(x₁ , y₁) = (0,10)
(x₂ , y₂) = (2, 2)
Equation of linear function:
(y -y₁)/ (x-x₁) =(y₂ -y₁)/(x₂ -x₁)
⇒(y -10)/ (x-0) =(2-10)/(2-0)
⇒y-10 =-4(x)
⇒ y = -4x +10 __(1)
For table2 :
System of linear function:
(x₁ , y₁) = (0,2)
(x₂ , y₂) = (2, -4)
Equation of linear function:
(y -y₁)/ (x-x₁) =(y₂ -y₁)/(x₂ -x₁)
⇒(y -2)/ (x-0) =(-4-2)/(2-0)
⇒y-2 =-3(x)
⇒ y = -3x +2 __(2)
Solve system of linear function (1) and (2) we get,
-4x +10 = -3x +2
⇒4x -3x =10 -2
⇒x =8
⇒y = -4(8) +10
= -22
(x, y) = (8 ,-22)
Therefore, from the given table which represents the two system of linear function is given by y = -4x +10 and y = -3x +2 , the solution of the system of linear function is (x, y) = (8 , -22).
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Answer:
D
Step-by-step explanation:
trust
How to solve step by step
Answer: 5
Step-by-step explanation: First we do (-4-(-7))^2 which is 9 and then
(8-4)^2 which is 16 so 9+16=25 and √25 = 5.
1. Given that p=5xy + q, express y in terms of p,q and x.
2.Given that p=7x +4q, express x in terms of p and q.
[tex]\huge\mathcal{♨Answer♥}[/tex]
Answer is on the attachment...
☆...hope this helps...☆
_♡_mashi_♡_
The equation p=5xy+q can be expressed in terms of p,q, and x as y = (p-q)/5x.
The equation p=7x+4q can be expressed in terms of p and q as x = (p-4q)/7x.
Given in the first equation, p = 5xy+q
p-q=5xy
y=(p-q)/5x
Here we need to express y in terms of p,q, and x so we need all these three variables on one side of the equation and y on the other side. Initially we more q to the left-hand side of the equation which makes it p-q=5xy. Now we divide the left-hand side and the right-hand side by 5x making the equation y = (p-q)/5x.
Similarly in the second equation, p = 7x+4q
p-4q = 7x
x = (p-4q)/7
Here we need to express x in terms of p and q so we need all these two variables on one side of the equation and the term x on the other side. First, we will move 4q to the left-hand side of the equation which will make it p-4q=7x. Now, we will divide the whole equation by 7 which will make the equation x = (p-4q) / 7.
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Please help I’ll give 30 pts
The area of the figure created by Brianna is [tex]33\frac{3}{4}[/tex] square feet.
Explain area in mathematics.
Area is a mathematical concept that expresses the size of a region on a planar or curved surface. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area or, it can be simply defined as the total amount of space occupied by a flat (2-D) surface or an object's shape.
Solution Explained:
A square with a side of 4 1/2 feet and two parallelograms with bases of 4 1/2 feet and heights of 1 1/2 feet make up the figure.
Therefore, the total area of the figure is
Area of Square + 2 X Area of Parallelogram
= (side)^2 + 2(b X h)
= (4 1/2)^2 + 2(4 1/2 X 1 1/2)
= 81/4 + 27/2
= 135/4
= [tex]33\frac{3}{4}[/tex] square feet
Area of the figure is [tex]33\frac{3}{4}[/tex] square feet.
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A, B and C are points on the circumference of a circle.
XY is a tangent to the circle at the point A.
Angle BAY = 72° and angle ABC = 54°.
Prove that triangle ABC is an isosceles
triangle.
You must give a reason for any statement
that you make or any calculation that you
carry out.
By using tangent property of circle, it has been proved that [tex]\Delta[/tex] ABC is isosceles
What is tangent to a circle?
At first it is important to know about circle.
Circle is a two dimensional round figure in which every point of the circle maintains a fixed distance from a point known as the center. The fixed distance is called the radius of the circle.
The straight line which touches the circle at any point is known as the tangent to a circle.
Tangent property of circle is used here
[tex]\angle BAY = 72^{\circ}[/tex]
[tex]\angle ABC = 54^{\circ}[/tex]
[tex]\angle ACB = 72^{\circ}[/tex] [Angle in alternate segment are equal]
[tex]\angle BAC = 180 - (54 + 72)\\[/tex] [Sum of three angles of a triangle is 180°
= 180 - 126
= 54°
[tex]\Delta ABC[/tex] is isosceles
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what value of x will make the triangles similar by the sss similarity theorem? what value of x will make the triangles similar by the sss similarity theorem? 15.9 59 77 96.8
By applying the SSS similarity theorem, the value of x that will make the provided triangles similar is 77.
SSS Similarity Theorem: What is it?
The SSS similarity theorem is used to determine whether or not two triangles are similar.
The side-side-side, or SSS. According to this theorem, triangles are comparable if all three sides of one triangle are proportional to the three equivalent sides of another triangle.
The first triangle's sides in the example figure are 35, 20, and 20. The second triangle has sides x, 44, and 44.
So, according to the SSS similarity theorem,
x/35 = 44/20
x =44 *35 /20
x =77
By applying the SSS similarity theorem, the value of x that will make the provided triangles similar is 77.
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Answer:28
Step-by-step explanation:
there are four boxes that look the same. in one box (the special box), half of the marbles are blue. but only 1/8 of the marbles in the other boxes are blue. you pick a box at random and randomly select a marble from it. the marble is blue. what should your new odds be that the box you picked is the special one?
The new odds that the box picked is a special one is 4
Since, there are four boxes that look the same. in one box (the special one), half of the marbles are blue. but only 1/8 of the marbles in the other boxes are blue.
We will have this hypothesis:
The box the blue marble was picked from is the special box.
Prior confidence we had:
Ratio of special boxes to non special boxes=1:3
Now P(blue &special)=1/2, given that a box is selected from the special box, there is 1/2 chance that it is blue
And P(blue & not special)=1/8, given that a box is selected from a non-special box, there is 1/8 chance that it is blue
According to Baye's factor ,we get:
P(B & S)/P(B & NS)=(1/2)/(1/8)
=4
Thus, 4 is the new odds that the box picked is the special one.
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consider the matrix
what is the value of |C|
If the matrix C = [tex]\left[\begin{array}{cc}-6&6\\-2&4\end{array}\right][/tex], then the determinant of the matrix |C| = -12
The given matrix is
C = [tex]\left[\begin{array}{cc}-6&6\\-2&4\end{array}\right][/tex]
The matrix is defined as the set of numbers that arranged in rows and columns to form a rectangular array. The numbers in the matrix are called the elements of the matrix.
Here we have to find the determinant of the matrix C
The determinant of the matrix is defined as the scalar value calculated for a given square matrix.
The determinant of C is represented by |C|
Then,
C = [tex]\left[\begin{array}{cc}-6&6\\-2&4\end{array}\right][/tex]
|C| = -6×4 - 6×-2
= -24 -(-12)
= -24 + 12
= -12
Hence, if the matrix C = [tex]\left[\begin{array}{cc}-6&6\\-2&4\end{array}\right][/tex], then the determinant of the matrix |C| = -12
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I NEED THIS GRAPH SOLVED ASAP
I need either the function in factored form or the roots(with multiplicity) or standard form thank you and please!!!
Answer:
if the root is 10 then the function is ²✓5
WORTH 100 POINTS
Write [tex]\frac{3}{2}[/tex] As a Tape Diagram
Answer:
Step-by-step explanation:
Dibuja una diagrama de cinta dividido en 3 y pinta 2 de los espacios
De nada :>
18=0.125 . Which calculation is NOT a way to find 58?
The calculation that is not a way to find a fraction of 5/8 is:
1 - 0.125.
What is a fraction?A fraction is a numerical representation of the division of the two terms x and y, as follows:
Fraction = x/y.
The terms are classified as follows:
The top term x is the numerator of the fraction.The bottom term y is the denominator of the fraction.Hence the numeric value of the fraction 5/8 presented in this problem is given as follows:
5/8 = 0.625.
The calculation that is not a way to find the fraction of 5/8 is the only expression that has a different value than 5/8.
The expression with a different value is of:
1 - 0.125 = 0.875.
As the value of 0.875 is different than the value of 0.625 equivalent to the fraction of 5/8.
Missing InformationThe complete problem is given by the image at the end of the answer.
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Otis made 1 3/5 cups of oatmeal. He put 2/3 cup of
oatmeal into each bowl. How many bowls of oatmeal
did Otis make? Use equations to solve the problem.
Show your work.
If Otis made [tex]1\frac{3}{5}[/tex] cups of oatmeal and he put 2/3 cup of oatmeal into each bowl, then he made 12/5 bowls of oatmeal
Total quantity of oatmeal that Otis made = [tex]1\frac{3}{5}[/tex] cups of oatmeal
Convert mixed fraction to simple fraction
[tex]1\frac{3}{5}[/tex] cups = 8/5 cups
The quantity of oatmeal in each bowls = 2/3 cup of oatmeal
Then the number of bowls of oatmeal that he made = Total quantity of oatmeal that Otis made ÷ The quantity of oatmeal in each bowls
Substitute the values in the equation
The number of bowls of oatmeal that he made = 8/5 ÷ 2/3
= 8/5 × 3/2
= 12/5 bowls
Hence, if Otis made [tex]1\frac{3}{5}[/tex] cups of oatmeal and he put 2/3 cup of oatmeal into each bowl, then he made 12/5 bowls of oatmeal
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