Please Hurry!! Use any model you choose to solve the story problem. Macy is making a border out of strips of wall boarder placed end to end along the 12-foot wall in her room. Each strip 1/3 is foot long. How many strips of wall border will Macy need?
Macy needs 36 strips of wall border to cover a 12-foot wall, calculating by multiplying the wall's length by the reciprocal of 1 strip's length.
To solve how many strips of wall border Macy will need, we divide the total length of the wall by the length of each strip. Macy's wall is 12 feet long, and each strip is 1/3 foot long. So, we divide 12 by 1/3 or multiply 12 by the reciprocal of 1/3.
Here is the calculation step by step:
Convert 1/3 to its reciprocal by flipping the numerator and denominator, which gives us 3/1 or just 3.Multiply the length of the wall, 12 feet, by 3.20 POINTS!
Alana is writing a coordinate proof to show that the diagonals of a rectangle are congruent. She starts by assigning coordinates to a rectangle as shown. Then she uses the coordinates to write and simplify expressions for the lengths of the diagonals.
What is the length of one of the diagonals of the rectangle?
As Marta built a square fence around her garden, she wondered how much she would have to pay if she increased the length of each side of the fence by the same number of meters. Each meter of fence costs 3 dollars. Which of the following functions best describes the additional amount of money Marta will have to spend, in dollars, if she increases each side of the fence by m meters?
the diagram below shows a rectangle inside a regular hexagon . the apothem of the hexagon is 19.05 units . to the nearest square unit . what is the area of the shaded region
A. 1257
B.861
C.442
D.1653
Answer:
B. 861.Step-by-step explanation:
In the figure attached, you can observe that the shaded area can be found by calculating the difference between the area of the regular hexagon and the area of the rectangle inside.
The area of a regular hexagon is defined as
[tex]A_{hexagon} =\frac{Pa}{2}[/tex]
Where [tex]P[/tex] is the perimeter and [tex]a[/tex] is the apothem.
By given, we know that the side of the hexagon is 22 units.
Remember that the perimeter is the sum of all sides, in this case would be
[tex]P_{hexagon}=22(6) =132[/tex].
The perimeter of the hexagon is 132 units.
Therefore, the area is
[tex]A_{hexagon} =\frac{132(19.05)}{2}=\frac{2514.6}{2}=1257.3 u^{2}[/tex]
On the other hand, the area of the rectangle is defined as
[tex]A_{rectangle}=bh[/tex], where [tex]b[/tex] is the base and [tex]h[/tex] is the height. We know, by given
[tex]b=22\\h=18[/tex]
Replacing these values, we have
[tex]A_{rectangle}=bh=22(18)=396 u^{2}[/tex]
As we said before, the shaded are is defined by the following difference
[tex]A_{shaded}=A_{hexagon}-A_{rectangle}[/tex]
Replacing each area, we have
[tex]A_{shaded}=A_{hexagon}-A_{rectangle}\\A_{shaded}=1257.3u^{2} -396u^{2}=861.3 u^{2}[/tex]
Therefore, the right answer is B. 861.
One third of the sum of two consecutive odd integers is five less than the smaller integer
Hadlee got 18 out of 20 questions correct on her math quiz. What percent of the questions did she get right?
The sum of the angle measures of a polygon with n sides is 1440. find n
The number of sides of the polygon that has a sum of the angles 1440° will be 10.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Let 'n' be the number of sides of the polygon. Then the sum of the interior angles of the polygon is given as,
Sum of angles = (n - 2) × 180°
The sum of the angle measures of a polygon with n sides is 1440. Then the number of sides of the polygon is given as,
(n - 2) × 180° = 1440°
(n - 2) = 1440° / 180°
(n - 2) = 8
n = 8 + 2
n = 10
The number of sides of the polygon that has a sum of the angles 1440° will be 10.
More about the polygon link is given below.
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A) choose the linear model that passes through the most data points on the scatterplot.
a. true. choose the linear model that passes through the most data points on the scatterplot.
b. false. the line usually touches none of the points. minimize the sum of the squared errors.
c. false. all of the data points either touch the line or fall below the line.
d. false. the linear model line usually passes through exactly half of the data points.
Final answer:
The correct statement relating to the selection of a linear model is that the line of best fit is found using the least-squares method to minimize the sum of squared errors. This involves plotting data points, calculating the least-squares regression line, and determining if the linear model fits the data appropriately.
Explanation:
The question pertains to the selection of a linear model based on a provided scatterplot. The correct choice is b. false. the line usually touches none of the points. minimize the sum of the squared errors. This statement refers to the concept of least-squares regression, a mathematical method used to find the line of best fit by minimizing the squared differences (errors) between the observed values and the values predicted by the model. This line is intended to predict the dependent variable based on the independent variable. The process includes plotting the data, calculating the least-squares line, and determining if the linear model is appropriate for the data set.
After plotting the data points on a scatter plot, we use a calculator or statistical software to compute the least-squares regression line, represented as ŷ = a + bx, where a is the y-intercept, b is the slope, and ŷ is the predicted value of the dependent variable for any given value of the independent variable. The line may not pass through the most data points, but instead represents the trend of the data points in a way that minimizes the overall error of the model.
Describe the translation from AB TO AB
Answer: I got A.
Step-by-step explanation:
It takes 69 pounds of seed to completely plant an 8 -acre field. how many acres can be planted per pound of seed? math
Helpp me with this word problem number one
During a certain period of time, a car can cover the distance of 120 miles, going at an average speed of 55 mph. What distance over the same period of time would cover a truck, going at an average speed of 44 mph?
If it's 8:23 pm now... What time would it be in 45 min? ( I want to see what everyone comes up with)
What is the expression phrase of the sum of a number x and 4, all divided by 3?
factor completely: x^3+8x^2+7x
When writing the slope as a fraction which numner goes on top?
The number goes on top tells line changes in the y direction and how much it rises.
what is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
As, The top number indicates how much the line rises or moves in the y direction.
Given that the number is a 1 and is positive, we can infer that the line rises or moves up by one.
Hence, line changes in the y direction and how much it rises.
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(6r^3s^5)(-2rs^3)(-r^2s)
Use your calculator to evaluate the limit of x equals 1 to 3 of e raised to the x squared power, dx. Give your answer to the nearest integer.
Numerical Answers Expected!
Simplify the expression x^2+3x-28/x^2-7x+12
Answer:
[tex]\frac{x+7}{x-3}[/tex].
Step-by-step explanation:
We have been given an expression. We are asked to simplify our given expression.
[tex]\frac{x^2+3x-28}{x^2-7x+12}[/tex]
Let us factor numerator and denominator by splitting the middle term.
[tex]\frac{x^2+7x-4x-28}{x^2-4x-3x+12}[/tex]
[tex]\frac{(x^2+7x)+(-4x-28)}{(x^2-4x)+(-3x+12)}[/tex]
Factor out GCF of each group:
[tex]\frac{x(x+7)-4(x+7)}{x(x-4)-3(x-4)}[/tex]
[tex]\frac{(x+7)(x-4)}{(x-4)(x-3)}[/tex]
Cancel out common factor [tex](x-4)[/tex]:
[tex]\frac{(x+7)}{(x-3)}[/tex]
Therefore, the simplified form of the given expression would be [tex]\frac{x+7}{x-3}[/tex].
What is the greatest common factor of 125, 50, and 275?
Answer:
25 is the greatest common factor.
Step-by-step explanation:
We are given the following information in the question:
We have t find the greatest common factor of 125, 50 and 275.
We can use the method of prime factorization.
[tex]125 = 5\times 5\times 5\\50 = 5\times 5\times 2\\275 = 5\times 5\times 11[/tex]
Hence, the common factor of the the three numbers are:
[tex]5\times 5 = 25[/tex]
Hence, the greatest common factor 125, 50, 275 is 25.
If it took eight men ten hours to build a wall, how many hours would it take four men to build it?
HELP WITH SOLVING SYSTEMS WITH THREE VARIABLES, WILL MEDAL
-x -y -z = -8
-4x + 4y + 5z = 7
2x + 2z = 4
I'm not sure how to work this out.
Estimate the unit rate
Which of the following expressions represents the value, in dollars, of a certain number of dimes, d, and pennies, p?
0.01d + 0.10p
0.10d + 0.01p
0.11dp
0.11d + p
Consider the following three statements:
As children grow older, their weight increases.
As children grow older, they expand their vocabulary.
As children's weight increases, their vocabulary expands.
Does statement #3 describe a correlational relationship? A causal relationship? Explain your answer.
Actually the third
statement would only be classified as correlational relationship.
Correlational relationship means that the one occurrence can
occur at the same time with another; they could be associated but does not
really imply that one causes the other.
Answer:Actually the third statement would only be classified as correlational relationship.
Correlational relationship means that the one occurrence can occur at the same time with another; they could be associated but does not really imply that one causes the other.
Step-by-step explanation:
Child development
What have researchers learned about the relationship between longer childhoods and brain development?
Longer childhoods are closely linked to brain development, enhancing cognitive abilities by allowing more complex neuronal connections and greater adaptation to environmental stimuli. Extended brain development is also associated with increased brain plasticity, leading to better adaptability and higher complex problem-solving skills.
Explanation:Research has found a significant relationship between longer childhoods and brain development. Humans have one of the longest childhoods among species, a period during which our brains continue to develop and mature significantly. This extended period of growth allows for more complex neuronal connections and adaptation to environmental stimuli, thus enhancing cognitive abilities.
A long childhood provides ample opportunities for learning and skill acquisition, and it is during this period that the brain is especially receptive to picking up new information. More prolonged brain development during childhood also tends to be associated with increased brain plasticity, meaning the brain's ability to change and adapt as a result of experiences. This plasticity aids in the formation of our identities and equips us to handle complex tasks and challenges as we grow.
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The line passing through the points (-7,4) and (-23,y) is parallel to a line that has a slope of -5/8. What is the value of y?
Point F is on circle C.
What is the length of line segment GF?
a.12.5 units
b.15.0 units
c.17.5 units
d.20.0 units
Answer:
GF = 20 units .
Step-by-step explanation:
Given : A circle ,Point F is on circle C.
To find : What is the length of line segment GF.
Solution : We have given A circle ,Point F is on circle C.
In circle we can see in triangle GCE
EC = CF = 7.5
GE = 10.
By the Pythagorean theorem :
GC² = EG²+ EC².
Plugging the values
GC² = 10²+ 7.5².
GC² = 100 + 56 .25.
GC² = 156.25.
Taking square root.
GC = 12.5 units.
Radius of circle CF = 7.5 units .
GF = GC +CF.
GF = 12.5 + 7.5
GF = 20 units .
Therefore, GF = 20 units .
Find the average rate of change of the function defined by the following table.
x y
-2 -5
2 35
6 75
10 115
A careful examination of the data in the table shows that for each 4 unit increase in x, y increases by 40.
It's valid to surmise that the average rate of change is 40/4, or 10. This is the slope of the line thru the given points.
Answer:
1/10
Step-by-step explanation:
The x goes up by 4 and the y goes up by 40
= 4/40 = 1/10
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Which equation describes a line with a slope of -8 and includes the point (-4, 7)?