Answer:
2
Step-by-step explanation:
Look at the points. the first point on the line is (30,0) the next point is (40,20)
Look what you added (20 up, 10 over) Rise/Run, 20/10, simplify, 2/1, simplify again, 2
In art class, the students each made rectangular quilts using 24 paper
squares. They then glued a button onto each square and decorated the
squares with markers.
1. Create all of the possible arrays for modeling a rectangular quilt with
the 24 paper squares. Write an equation to accompany each array.
You can use the attached pre-made quilt squares by cutting and
pasting them, or you can draw the arrays with your own designs on a
separate sheet of paper?
ANSWER PLS AND U GET 30 POINTS
Answer:
There are many possible arrays that could be used to model a rectangular quilt with 24 paper squares. Here are a few examples:
A 3x8 array could be created by gluing the paper squares into a rectangle that is 3 squares wide and 8 squares long. This could be represented by the equation 3x8 = 24.
A 4x6 array could be created by gluing the paper squares into a rectangle that is 4 squares wide and 6 squares long. This could be represented by the equation 4x6 = 24.
A 6x4 array could be created by gluing the paper squares into a rectangle that is 6 squares wide and 4 squares long. This could be represented by the equation 6x4 = 24.
A 8x3 array could be created by gluing the paper squares into a rectangle that is 8 squares wide and 3 squares long. This could be represented by the equation 8x3 = 24.
These are just a few examples, but there are many other possible arrays that could be created with 24 paper squares. Some other examples might include a 2x12 array, a 6x4 array, or even a 1x24 array. The key is to find combinations of width and length that will multiply together to equal 24.
Step-by-step explanation:
Kobe has a pair of Jordans that are worth $24,000 in 2021. The shoe increases in price 5.5% per year. What is the show worth in 2041? (Use geometric summation).
The price of the worth of the shoes in 2041 is $836839.63
The geometric summation formula is:
\(P(\frac{c^N-1}{c-1})^{}\)Where P is the initial value, c is the growth of worth by period and N is the times of periods. In this case, the period is in years. 2041-2021=20. Then N = 20
now we calculate c:
\(c=1+\frac{\text{percentage}}{100}=1+\frac{5.5}{100}=1.055\)\(P(\frac{c^N-1}{c-1})^{}=24000(\frac{1.055^{20}-1}{1.055-1})=836836.63\)The number of employees for a certain company has been decreasing each year by 5%. If the company cumently has 860 employees and this rate continues, find the number of employees in 10 years
The number of employees in 10 years will be approximately
(Round to the nearest whole number as needed)
Based on the exponential decay equation, the number of employees for the company that has been decreasing yearly by 5%, will in 10 years be approximately 515.
What is exponential decay equation?The exponential decay equation or function gives the value in t years that has a constant ratio of decrease.
Exponential decay equation is one of the two exponential functions. The other is the exponential growth equation.
The annual decrease in the number of employees = 5%
The current number of employees in the company = 860
The expected time = 10 years.
The exponential decay equation is as follows, y = 860 x 0.95^10.
y = 860 x 0.95^10 = 515
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how do you find the perimeter of a half circle
Answer:
The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.
Step-by-step explanation: .
Answer:
πr
Step-by-step explanation:
We know the perimeter of the circle is 2πr , half the perimeter will be equal to ,
=> 2πr/2
=> πr
Hence the required answer is πr .Stella models a can of ground coffee as a right cylinder. She measures a tight as five and one over4 inches and its volume is 8 in.³. Find the Can’s diameter in inches. Round your answer to the nearest 10th if necessary.
The required diameter of the can is approximately 1.4 inches.
The formula for the volume of a cylinder to set up an equation relating the diameter and height of the Can to its volume:
V = πr²h
The volume of the Can is 8 in.³, so we can substitute V equal to 8 into the equation:
8 = πr²h
We are also given that the height of the can is 5 and 1/4 inches or 5.25 inches. We can replace this value with the equation:
8 = πr²(5.25)
Simplifying, we can solve for r:
r² = 8 / (π(5.25))
r² ≈ 0.485
r ≈ 0.69
The diameter of the can is twice the radius, so we can calculate it as:
d ≈ 2(0.69)
d ≈ 1.4 inches
Rounding to the nearest tenth, we get:
d ≈ 1.4 inches
Therefore, the diameter of the can is approximately 1.4 inches.
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find a pair of integers x and y such that 61x 41y=gcd(61,41)
A pair of integers (x, y) that satisfies the equation 61x + 41y = gcd(61, 41) is x = -2 and y = 3.
To find a pair of integers (x, y) that satisfies the equation 61x + 41y = gcd(61, 41), we can use the Extended Euclidean Algorithm.
This algorithm allows us to find the greatest common divisor (gcd) of two numbers (61 and 41 in this case) and express it as a linear combination of the two numbers.
Using the Extended Euclidean Algorithm, we can calculate the gcd(61, 41) as 1.
Along with the calculations, we keep track of the coefficients of 61 and 41, which will give us the values of x and y in the equation.
Starting with the initial values of 61 and 41, we perform the Euclidean Algorithm:
61 = 41 * 1 + 20
41 = 20 * 2 + 1
Working backwards, we substitute the remainders in terms of the previous values:
1 = 41 - 20 * 2
1 = 41 - (61 - 41 * 1) * 2
1 = 41 * 3 - 61 * 2
Comparing this equation to the original equation 61x + 41y = gcd(61, 41), we can see that x = -2 and y = 3.
Therefore, a pair of integers (x, y) that satisfies the equation 61x + 41y = gcd(61, 41) is x = -2 and y = 3.
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Two lines meet at a point that is also the vertex of an angle. Set up and
solve the appropriate equations to determine x and y.
x+ 32 = 90
x= 58°
y + x = 90°
y= 90-58
y =32°
A wall is 4m high and 40 cm wide it contain two Windows of dimension 2.5 X 1 metre and gateway of dimension 2 metre multiply 3 if 24560 cubical bricks of length 20 cm are required to construct the wall, find the length of the wall.solve it
Answer:
125.55 m.
Step-by-step explanation:
We need to find the volume of the bricked wall.
= total volume - volume of the windows - volume of the gateway.
= 4 * 0.4 * L - 2 * 2.5 * 1 * 0.4 - 2 * 3 * 0.4 m^3. (where L is the length of the wall).
Also this volume = number of bricks * volume of 1 brick
= 24560* 0.2^3.
So
4 * 0.4 * L - 2 * 2.5 * 1 * 0.4 - 2 * 3 * 0.4 = 24560* 0.2^3
1.6L - 2 - 2.4 = 196.48
1.6L = 200.88
L = 125.55 m.
A solid dressing recipe includes 4/5 cup of lime juice for every 2 cups of Greek yogurt. How many cups of lime juice does Marquez need for 3 cups of Greek yogurt?
Answer:
1 1/5
Step-by-step explanation:
So first we need to realize that 4/5 can be turned into 8/10. Plus since they need 3 cups, not 2 (which we have been provided with the cups for) then we have to split it in half. So it would be 8/10 + 4/10. Which is 12/10 or 1 2/10 or 1 1/5
Hope this makes sense!!!
What is the solution to the equation shown below? یہ اس x + 5 = 1 A x=-6 B x=4 C x= -4.5 D x=9
Answer:
x = -4None of the answers is correctStep-by-step explanation:
Given the equation x + 5 = 1, to get the solution to the equation, we need to find the value of x
Step 1: Subtract 5 from both sides of the equation
x+5-5 = 1-5
x = 1-5
Step 2: Find the value of the unknown variable x
x = -4
The solution to the equation is x = -4
What is 9x8x7x4 ANswer in 1 second.(IKNOW THE ANSWER)
Answer:
2016
Step-by-step explanation:
Show/Explain that
(3x – 4)(x + 7) = 3x + 17x – 28.
Answer:
Step-by-step explanation:
You expand the brackets:
\(3x(x) =3x^{2}\)\(3x(7) = 21x\)\(-4(x)=-4x\)\(-4(+7)=-28\)Now you simplify and collect like terms:
\(3x^{2} (+21x-4x)-28\)
\(3x^{2} +17x-28\)
what is the probability that it will not rain on any of the homecoming parades during amina's four years at the school? (round your answer to three decimal places.)
The probability that it will not rain on any of the homecoming parades during Amina's four years at the school is 0.410.
The probability that it will not rain on any of the homecoming parades during Amina's four years at the school can be calculated by first finding the probability that it will rain on a single parade, and then using that to find the probability that it will not rain on any of the parades.
Let's assume that the probability of it raining on a single parade is P. Then, the probability that it will not rain on a single parade is 1 - P.
Since there are four parades during Amina's time at the school, the probability that it will not rain on any of the parades is (1 - P)^4.
To find the final answer, we need to round the result to three decimal places. So, if the probability of it raining on a single parade is 0.2, the probability that it will not rain on any of the parades is (1 - 0.2)^4 = 0.4096, which rounds to 0.410.
Therefore, the probability that it will not rain on any of the homecoming parades during Amina's four years at the school is 0.410.
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solve for x 2/3x + 9 = - 13
Answer:
X=-33
Step-by-step explanation:
Answer:
x= -33
Step-by-step explanation:
Subtract 9 from both sides:
2/3x+9-9=-13-9
Simplify the arithmetic:
2/3 · x =-13-9
Simplify the arithmetic:
2/3 · x = -22
Multiply both sides by inverse fraction 3/2:
2/3x ·3/2= -22 ·3/2
Group like terms:
2/3 ·3/2x= -22 ·3/2
Simplify the fraction:
x=-22 · 2/3
Multiply the fractions:
x= -22·2/3 ÷2
Simplify the arithmetic:
x = -33
The weight of each fountain pen manufactured in a factory must be 10g with a tolerance of 2g. Pens that are not within the tolerated weight must be thrown away. Write an inequality that can be used to assess which pens are tolerable (w is the weight of the pen)?
According to the information given, the absolute value inequality that can be used to assess which pens are tolerable is:
\(|w - 10| \leq 2\)
The absolute value function measures the distance of a point to the origin, and is defined by:
\(|x| = x, x \geq 0\)\(|x| = -x, x < 0\)The weight must be of 10g, with a tolerance of 2g, which means that the absolute value of the difference between the weight w and 10g must be of at most 2g, hence the inequality is:
\(|w - 10| \leq 2\)
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In a survey of 175 females ages 16 to 24 who have completed
high school during the past 12 months, 72% were enrolled in college. In
survey of 160 males ages 16 to 24 who have completed high school during the
past 12 months, 65% were enrolled in college. At a = 0. 01, can you reject
the claim that there is no difference in the proportion of college enrollees
between the two groups?
There is no significant difference in the proportion of college enrollees between females and males who have completed high school within the past 12 months.
To determine if the difference in proportions is statistically significant or if it could be due to chance.
We will conduct a hypothesis test. Our null hypothesis (H₀) is that there is no difference in the proportion of college enrollees between females and males. Our alternative hypothesis (H₁) is that there is a difference in the proportion of college enrollees between females and males.
We can use a two-sample z-test to test this hypothesis. The formula for the test statistic is:
z = (p₁ - p₂) / √(p'* (1 - p') * ((1 / n₁) + (1 / n₂)))
where p₁ and p₂ are the sample proportions, p' is the pooled proportion, n₁ and n₂ are the sample sizes.
Given, p₁ = 0.72, p₂ = 0.65, n₁ = 175, n₂ = 160
p' = (x₁ + x₂) / (n₁ + n₂)
x₁ = 126 (0.72 * 175) and x₂ = 104 (0.65 * 160).
p' = (126 + 104) / (175 + 160) = 0.684
By applying the above values we get,
z = (0.72 - 0.65) / √(0.684 * (1 - 0.684) * ((1 / 175) + (1 / 160))) ≈ 2.11
The critical value for a two-tailed test with alpha = 0.01 is approximately ±2.58. Since our calculated z-value (2.11) is less than the critical value, we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that there is a significant difference in the proportion of college enrollees between females and males.
Therefore, there is no significant difference in the proportion of college enrollees between females and males who have completed high school within the past 12 months.
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Find the absolute minimum and absolute maximum of f(x,y)=6−4x+7y on the closed triangular region with vertices (0,0),(7,0) and (7,10). List the minimum/maximum values as well as the point(s) at which they occur. If a min or max occurs at multiple points separate the points with commas. Minimum value: ____
The absolute minimum value of f(x, y) is -16, occurring at the points (7, 0) and (7, 10). Therefore, the minimum value is -16.
To find the absolute minimum and absolute maximum of the function f(x, y) = 6 - 4x + 7y on the closed triangular region with vertices (0, 0), (7, 0), and (7, 10), we need to evaluate the function at the critical points and the boundary of the region.
Critical points: To find critical points, we need to take the partial derivatives of f(x, y) with respect to x and y and set them equal to zero.
∂f/∂x = -4 = 0
∂f/∂y = 7 = 0
Since there are no solutions to these equations, there are no critical points within the region.
Boundary of the region: We need to evaluate the function at the vertices and on the sides of the triangle.
Vertices:
f(0, 0) = 6 - 4(0) + 7(0) = 6
f(7, 0) = 6 - 4(7) + 7(0) = -16
f(7, 10) = 6 - 4(7) + 7(10) = 60
Sides:
Side 1: From (0, 0) to (7, 0)
y = 0
f(x, 0) = 6 - 4x + 7(0) = 6 - 4x
The minimum occurs at x = 7 with a value of -16.
Side 2: From (0, 0) to (7, 10)
y = (10/7)x
f(x, (10/7)x) = 6 - 4x + 7((10/7)x) = 6 - 4x + 10x = 6 + 6x
The minimum occurs at x = 0 with a value of 6.
Side 3: From (7, 0) to (7, 10)
x = 7
f(7, y) = 6 - 4(7) + 7y = -22 + 7y
The minimum occurs at y = 0 with a value of -22.
From the above evaluations, we can conclude:
The absolute minimum value of f(x, y) is -16, occurring at the points (7, 0) and (7, 10).
The absolute maximum value of f(x, y) is 60, occurring at the point (7, 10).
Therefore, the minimum value is -16.
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Which inequality is represented by the number line?
A. |2x + 1| > 7
B. 2|x + 1| < 8
C. |2x - 1| > 9
D.2 |x - 1| < 10
The number line is represented by the inequality -
Option C - |2x - 1| ≥ 9
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.
The number line indicates two filled circles which suggests the inequality contains (≤,≥) symbols and is inclusive of range.
The first inequality will be x ≤ -4 since the value is starting from -4 and moving towards negative infinity.
Similarly, the second inequality will be x ≥ 5 since the value is starting from 5 and moving towards positive infinity.
The compound inequality that results in same is -
|2x - 1| ≥ 9
Apply the absolute rule -
2x - 1 ≥ 9 or 2x - 1 ≤ -9
Solve the inequality -
2x - 1 ≥ 9 or 2x - 1 ≤ -9
2x - 1 + 1 ≥ 9 + 1 or 2x - 1 + 1 ≤ -9 + 1
2x ≥ 10 or 2x ≤ -8
x ≥ 5 or x ≤ -4
Therefore, the inequality is |2x - 1| ≥ 9.
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Richard and stephen win some money and share in the ratio 2:1 Richard gets £12
Considering the importance of schemata in the reading process, students could be assisted in their preparation for a reading by
Select one:
a. providing them easier material
b. asking students to monitor their comprehension
c. previewing important vocabulary
d. presenting students the important concepts and vocabulary in the lesson and attempting to relate that information to students background knowledge
The best way to assist students in their preparation for reading is by presenting them with the important concepts and vocabulary in the lesson and attempting to relate that information to their background knowledge.
This approach helps students activate their schemata, which are the mental structures that allow them to make sense of new information. Additionally, it is important to preview important vocabulary, which helps students understand the meaning of unfamiliar words in the text. Finally, asking students to monitor their comprehension as they read is also helpful in ensuring they are understanding and retaining the information. Providing easier material may not challenge students enough, which could hinder their ability to develop their schemata.
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What is the value of log 1 to base 7?
0 is the value of log 1 to base 7.
The inverse of an exponential function is named a logarithm. That means the logarithm of a number y to the base b is the exponent to which b must be raised, to produce y. For example, since 100 = 10², the logarithm base 10 of 100 is 2, or log₁₀ (100) = 2. The logarithm of x to base a is denoted as logₐ (x), or without parentheses, logₐ x, or even without the explicit base, log x.
As we know,
aˣ = N ⇔ \(log_{a}N\) = x
Let log₇1 = x
⇒7ˣ = 1
⇒7⁰ = 1
Equating powers on both sides, we get
x = 0
⇒log₇1 = 0
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In one hour, a car can cover 70 3/4 km. how much distance will it cover 2 2/5 hrs
Answer:24
Step-by-step explanation:
ab+6+ba-8+ab+b/a+2-3ba?
need answar
Answer:
this is the answer assuming the equation was meant to be simplified.
Step-by-step explanation:
Jack’s mom gave him 50 chocolates. At Jack’s party, he gave each of his friends 6 chocolates. Unfortunately Jack was 4 pieces short, and one friend only got 2 pieces of chocolate. How many people were at Jack’s Party?
Answer:
9 friends
Step-by-step explanation:
since The total is 50.
and each friend was given 6 then the ratio of friend to chocolate is 1:6 .
but one friend received 2.
hance there's two possible ways of solving
one by subtract two and latter adding the friend who did not receive
x=1/6(50-2)
x=1/6(48)
x=8 ; note one did not receive 6.
therefore James had 9 friends.
or better still you could add 4 to the total (which means all received equally)
x=1/6(50+4)
x=1/6(54)
x=9
please help me, I will give brainliest! :D
Answer:
Sorry i dont know but need the points
Step-by-step explanation:
Can someone please help me with this? Please and thank you
Answer:
\((2,-1)\)
Step-by-step explanation:
The solution of the systems of equations in the graph is 'the point of intersection'
The point of intersection is the point at which two lines meet or intersect.
For this graph, the point of intersection is the point where the the red and blue graph meet. The x and y values (or coordinates) have to be read from the graph.
From the graph:
x = 2
y = \(-1\)
Together these x and y values form an ordered pair
∴Ordered pair is \((2,-1)\)
are 3x + 14 – x + 1 1/2 and 4x + 1 3/4 equivalent
The simplest form of 3x + 14 – x + \(1\frac{1}{2}\) is 2x + \(15\frac{1}{2}\). Both given expressions are not equivalent.
What is an expression?
Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the expression 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Given expression is 3x + 14 – x + \(1\frac{1}{2}\)
Now combine like terms:
= (3x - x) + (14 + \(1\frac{1}{2}\))
= 2x + (14 + \(1\frac{1}{2}\))
Convert mixed fraction to improper fraction:
= 2x + (14 + 3/2)
= 2x + 31/2
= 2x + \(15\frac{1}{2}\)
The equivalent expression of 3x + 14 – x + \(1\frac{1}{2}\) is 2x + \(15\frac{1}{2}\). Therefore, 3x + 14 – x + \(1\frac{1}{2}\) is not equivalent to 4x + \(1\frac{3}{4}\).
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The Polleys want to put in a swimming pool next summer. They need to save $6,000 over 12 months in order to achieve this goal. They set aside the same amount each month and after 7 months discovered they have saved $3,100. The Polleys know that they must adjust their plan in order to meet their goal, so they come up with the following options: Option A: Save the original amount for each month but put the pool in one month later than originally planned. Option B: Increase savings for each month by $100 from their original plan. Which of the following statements is true? a. Only option A will allow them to meet their goal. B. Only option B will allow them to meet their goal. C. Either option A or B will allow them to meet their goal. D. Neither option A nor option B will allow them to meet their goal.
Answer:
D. neither option
Step-by-step explanation:
The family wants to achieve a balance of $6000 over 12 months. Their rate of savings is $3100 in 7 months, or about $442.86 per month. The remaining balance needed is $6000 -3100 = $2900.
Let's look at the plans.
Option ASaving at the current rate for 13 months would give a total of ...
13 × $442.86 = $5757.18 . . . . short of $6000
Option BIncreasing the current rate of savings by $100 per month would add to the current balance an amount of ...
5 × ($442.86 +100) = 5 × $542.86 = $2715.30 . . . . short of $2900 needed
__
Neither Option A nor Option B will allow them to meet their goal.
if a television screen with a length-to-height ratio of 16:9 has an area of 576 square inches, what is its perimeter?
The perimeter of television is = 100 inches
What is mensuration ?The study of measuring geometric shapes and their qualities such as length, volume, shape, surface area, lateral surface area, and so on is known as mensuration. Mensuration will be covered in fundamental mathematics.
Calculationlet the length be 16x and width be 9x
area given = 576 sq. inches
16x * 9 x = 576
144 \(x^{2}\) = 576
x = 24/12
x = 2
length = 32
width = 18
perimeter = (32 + 18)*2 =100 inches
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vanessa tried to prove that \triangle klm\cong \triangle mnk△klm≅△mnktriangle, k, l, m, \cong, triangle, m, n, k. statement reason 1 \overline{kl}\cong\overline{mn} kl ≅ mn start overline, k, l, end overline, \cong, start overline, m, n, end overline given 2 \overline{lm}\cong\overline{nk} lm ≅ nk start overline, l, m, end overline, \cong, start overline, n, k, end overline given 3 \triangle klm\cong \triangle mnk△klm≅△mnktriangle, k, l, m, \cong, triangle, m, n, k side-side-side congruence what is the first error vanessa made in her proof? choose 1 answer: choose 1 answer:
What is the first error Vanessa made in her proof: B. Vanessa only established some of the necessary conditions for a congruence criterion.
What are the properties of similar triangles?In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Additionally, the lengths of three (3) pairs of corresponding sides or corresponding side lengths are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.
Based on the reflexive property of equality, we can logically deduce the following congruent and similar triangles:
KM ≅ KM
ΔKLM ≅ ΔMNK (SSS similarity theorem).
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.