4) A baby weighed 7.2 pounds at birth and 9.0 pounds at the age of onemonth. What was the percent increase?
Answers
Answer:
25%
Explanation:
The percent of increase can be calculated using the following equation
\(\frac{\text{ Final value - Initial Value}}{\text{ Initial Value }}\times100\)So, replacing the final value by 9 pounds and the initial value by 7.2 pounds, we get:
\(\frac{9-7.2}{7.2}\times100=\frac{1.8}{7.2}\times100=0.25\times100=25\text{ \%}\)Therefore, the percent of increase is 25%
Related Questions
Marked price 66603 selling price 66,100 what is the discount offered
Answers
The discount offered on the product is 0.75%.
The discount offered on a product is the percentage of reduction in the original price that a customer pays to purchase the product.
The marked price of the product is 66603 and the selling price is 66,100. The discount offered need to find the difference between the marked price and the selling price and express it as a percentage of the marked price.
The difference between the marked price and the selling price is calculated as:
Discount = Marked Price - Selling Price
Discount = 66603 - 66100
Discount = 503
Now to express the discount as a percentage of the marked price use the following formula:
Discount Percentage = (Discount / Marked Price) × 100
Substituting the values we get:
Discount Percentage = (503 / 66603) × 100
Discount Percentage = 0.75%
Discount may be considered quite small as it represents a reduction of less than 1% of the original price.
It is not uncommon for products to be sold with small discounts or no discounts at all depending on the market demand and other factors such as the brand value product quality and competition.
Ultimately the decision to purchase a product should be based on its value and utility to the buyer rather than solely on the discount offered.
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Quadrilaterals HIJK and ABCD are congruent. The side length of each square on the grid is 1 unit. Which of the following sequences or transformations maps HIJK to ABCD?
Answers
The sequence of transformations that maps HIJK to ABCD is sequence B: reflection over line HÌ, then a translation 6 units to the right and 3 units down.
What is quadrilateral ?
A quadrilateral is a polygon with four sides and four vertices. The term "quadrilateral" comes from the Latin words "quadri" meaning "four" and "latus" meaning "side". Quadrilaterals can have different shapes and properties, including rectangles, squares, parallelograms, trapezoids, and kites.
Since quadrilaterals HIJK and ABCD are congruent, we can map one onto the other using a sequence of transformations. We need to determine which of the given sequences of transformations maps HIJK to ABCD.
Sequence A involves a 270° rotation about point J, followed by a translation 9 units to the right and 8 units down.
Sequence B involves a reflection over the line HÌ, followed by a translation 6 units to the right and 3 units down.
To determine which sequence maps HIJK to ABCD, we can apply each sequence to the vertices of HIJK and see if the resulting image matches the vertices of ABCD.
Starting with sequence A, we apply the rotation and translation to the vertices of HIJK:
Vertex H(-2, 1) is rotated 270° about J(-2, 2) to get H'(0, 0). Then we translate 9 units to the right and 8 units down to get H''(9, -8).
Vertex I(-3, -1) is rotated 270° about J(-2, 2) to get I'(1, -3). Then we translate 9 units to the right and 8 units down to get I''(10, -11).
Vertex J(-2, 2) is fixed by the rotation and then translated 9 units to the right and 8 units down to get J''(7, -6).
Vertex K(0, 0) is rotated 270° about J(-2, 2) to get K'(-2, -2). Then we translate 9 units to the right and 8 units down to get K''(7, -10).
The resulting image of HIJK under sequence A has vertices H''(9, -8), I''(10, -11), J''(7, -6), and K''(7, -10). We can see that these vertices do not match the vertices of ABCD, so sequence A does not map HIJK to ABCD.
Next, we apply sequence B to the vertices of HIJK:
Vertex H(-2, 1) is reflected over line HÌ to get H'(-4, 3). Then we translate 6 units to the right and 3 units down to get H''(2, 0).
Vertex I(-3, -1) is reflected over line HÌ to get I'(-1, 1). Then we translate 6 units to the right and 3 units down to get I''(5, -2).
Vertex J(-2, 2) is reflected over line HÌ to get J'(-4, 4). Then we translate 6 units to the right and 3 units down to get J''(2, 1).
Vertex K(0, 0) is reflected over line HÌ to get K'(-2, 2). Then we translate 6 units to the right and 3 units down to get K''(4, -1).
The resulting image of HIJK under sequence B has vertices H''(2, 0), I''(5, -2), J''(2, 1), and K''(4, -1). We can see that these vertices match the vertices of ABCD, so sequence B maps HIJK to ABCD.
Therefore, the sequence of transformations that maps HIJK to ABCD is sequence B: reflection over line HÌ, then a translation 6 units to the right and 3 units down.
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PLEASE HELP. Appreciate it
Answers
Tan31 =o/a
Tan31=y/400
Y=400tan31
Y=240,34
y−3=2(x+1)
What is the solution (-1,_)
Answers
Answer:
(-1,3)
Step-by-step explanation:
hello :
y−3=2(x+1)
if x= -1 y-3 = 2(-1+1)
y-3=0 so : y=3
(-1,3)
PLS HELP FIND ANGLE MEASUREMENTS
Answers
Answer:
From my observations, AOB looks like an isosceles triangle, so A=18 and B=18. Since a triangle must add up to 180. We do 180-18-18=144. O= 144. Then, triangle BOC looks like an isosceles triangle as well. So, we do 180-144= 36 so O = 36 and then we 180-36=144/2 because two sides have the same angles giving us 72 degrees for angles B and C = 72 and for O= 36
So,
x = 72
y = 36
An equation of an ellipse is given. 9x^2−36x+y^2 +2y+1=0 (a) Find the center, vertices, and foci of the ellipse. Center (x,y)=( focus (x,y)=()( smaller y-value) focus (x,y)= (larger y-value) vertex (x,y)= (smaller y-value) vertex (x,y)=( (larger y-value) (b) Determine the lengths of the major and minor axes. Major axis units minor axis units c) Sketch a praph of the ellitse
Answers
To find the center of the ellipse, we need to complete the square for both the x and y terms.
9x^2 - 36x + y^2 + 2y + 1 = 0
9(x^2 - 4x) + (y^2 + 2y) = -1
9(x^2 - 4x + 4) + (y^2 + 2y + 1) = -1 + 36 + 1
9(x - 2)^2 + (y + 1)^2 = 36
So the center of the ellipse is (2, -1).
To find the vertices, we need to find the distance from the center to the endpoints of the major axis. Since the major axis is along the x-axis, we use the formula a^2 = 36/9 = 4 to find the distance from the center to the endpoints.
Vertex 1: (2 - 2, -1) = (0, -1)
Vertex 2: (2 + 2, -1) = (4, -1)
To find the foci, we use the formula c^2 = a^2 - b^2, where a = 2 and b is the distance from the center to the endpoints of the minor axis. Since the minor axis is along the y-axis, we use the formula b^2 = 36/1 = 36. So c^2 = 4 - 36 = -32, which is not a real number. Therefore, the ellipse does not have any foci.
(b)
The length of the major axis is the distance between the two vertices, which is 4 units. The length of the minor axis is the distance between the two endpoints of the minor axis, which is 2 times the square root of 9, or 6 units.
(c)
Here's a sketch of the ellipse:
```
|
-1 |
|
|
| ****
| ** **
| * *
| * *
| * *
| * *
| * *
| ** **
| ****
|
|
|
|
|
|
|
|
+-------------------------
2 4
```
Number graph ranging from negative eight to eight on the x axis and negative eight to eight on the y axis. Two lines that are perpendicular to each other intersect at (three, zero). The line with a positive slope is labeled a and the line with a negative slope is labeled b.
Use the graph to state the solution for the system.
x – y = 3 (line a)
x + y = 3 (line b)
Responses
(0, 3)
(0, 3)
(3, 0)
(3, 0)
(–3, 0)
(–3, 0)
(0, –3)
(0, –3)
Answers
The solution for the system is (0,3) as line a meets the y-axis at (0, -3) and the Intersection point of a and b is (3,0). This makes it obvious that the solution for x will be 0 when the solution for y is 3
Given that the number graph ranges from negative eight to eight on the x-axis and negative eight to eight on the y-axis.
Two lines that are perpendicular to each other intersect at (three, zero). The line with a positive slope is labeled a, and the line with a negative slope is labeled b.
The system is given byx – y = 3 (line a)x + y = 3 (line b)We know that both the lines a and b pass through (3,0).
Let's first find the points of intersection of the line a with the x-axis and the y-axis.
To find the point of intersection of the line a with the x-axis, put y = 0 in the equation x - y = 3x - 0 = 3x = 3So, the point of intersection of line a with the x-axis is (3,0).
To find the point of intersection of the line a with the y-axis, put x = 0 in the equation x - y = 3 0 - y = 3y = -3So, the point of intersection of line a with the y-axis is (0,-3).
Similarly, let's find the points of intersection of the line b with the x-axis and the y-axis.
To find the point of intersection of the line b with the x-axis, put y = 0 in the equation x + y = 3x + 0 = 3x = -3So, the point of intersection of line b with the x-axis is (-3,0).
To find the point of intersection of the line b with the y-axis, put x = 0 in the equation x + y = 3 0 + y = 3y = 3So, the point of intersection of line b with the y-axis is (0,3).
Now, we can plot the graph of the two lines a and b and then find the points of intersection as follows:
Therefore, the solution for the system is (0,3) as line a meets the y-axis at (0, -3) and the intersection point of a and b is (3,0). This makes it obvious that the solution for x will be 0 when the solution for y is 3.
Hence, the answer is (0, 3).Option B. (0, 3)
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PLEASE HELP!!!! I don’t understand this topic please can someone help explain how to work out the attached question on similar area. Will mark brainliest!
Answers
Step-by-step explanation:
Look, you're taking these kinds of questions too serious and that's why you believe they're hard, now pay close attention:
the areas are defined in cm² but the radius is defined in cm, so you need find the positive root of cm².
\( \sqrt{ \frac{5500 {cm}^{2} }{220 {cm}^{2} } } = \frac{r}{5cm} = = > \\ 5 = \frac{r}{5} = = = > r = 25\)
and the question wants the base area:
\(s = \pi {r}^{2} = = = > s = 3.14 \times {(25cm)}^{2} = = > 1963.5 {cm}^{2} \)
There are 2.3^3 slices of pizza and ther are 3 friends how much do they all get
Answers
Answer:
the answer is 3/8
Step-by-step explanation:
the answer is 3/8
If Diana sends 290 text messages in 4 hours how many is, she sending in 1 hour?
Answers
Answer:
72
Step-by-step explanation:
You’ll divide your numbers 290 and 4 and get this
Plsss mark brainlest thank you
HELPPPPPPP ASAPPPPPPPP PLSSSS
Answers
Answer:
the first one is. hope helps
Find the length of the third side. If necessary, round to the nearest tenth.
15
25
Answers
Answer:
20.
Step-by-step explanation:
x^2 = 25^2 - 15^2
x^2 = 400
x = 20
Solve for x: -2x – 7 = 3
Answers
Answer:
x=-5
Step-by-step explanation:
-2x=3+7
or,-2x=10
or,x=-10/2
x=-5
Answer:
x = -5
Step-by-step explanation:
Add 7 to each side, so it now looks like this: -2x = 10Divide each side by -2 to cancel out the -2 next to x. It should now look like this: x = -5I hope this helps!
Find the smallest value of k such that the LCM of
k and 6 is 60
Answers
Answer: The smallest valuest value for k is 10, such that LCM of k and 6 is 60.
Step-by-step explanation:
We know that, LCM = Least common multiple.
For example : LACM of 12 and 60 is 60.
If LCM of k and 6 is 60.
i.e. the least common multiple of k and 6 is 60.
Since, 10 x 6 = 60.
The smallest valuest value for k should be 10, such that LCM of k and 6 is 60.
Hence, the smallest value of k is 10.
10) Calculate angle u, v and w
A
Y
с
88
68
Answers
Answer:
u = 24, v = 92, and w = 184
Step-by-step explanation:
According to circle theorem, we have;
∠ACD = ∠ABD = 88° by angle inscribed in a circle and also subtending the same chord
∠DOA = 2 × ∠ABD by angle subtended at the center = 2 × Angle subtended at the circumference
∴ ∠DOA = 2 × ∠ABD = 2 × 88° = 176°
w° + ∠DOA = 360 by the sum of angles at a point
∴ w° = 360° - ∠DOA = 360° - 176° = 184°
w° = 184°
w° = 2 × v° by angle subtended at the center = 2 × Angle subtended at the circumference
∴ v° = w°/2 = 184°/2 = 92°
v° = 92°
In triangle ΔCDY and ΔABY, we have;
∠ABD = ∠ABY by reflexive property
∠ACD = ∠ACY by reflexive property
∠ACD = ∠ABD = 88°
∴ ∠ABY = 88°
∠CYD = ∠AYB by vertically opposite angles are equal
∴ ∠CYD = 68° = ∠AYB
u° + ∠ABY + ∠AYB = 180° by angle sum property
∴ u° = 180° - (∠ABY + ∠AYB)
u° = 180° - (88° + 68°) = 24°
u° = 24°.
solve the equation 2 3/5 × 1 3/7
Answers
Answer:
26/7
Step-by-step explanation:
\(2\frac{3}{5} * 1\frac{3}{7}\)=
\(\frac{13}{5}* \frac{10}{3} =\)
\(\frac{130}{35}\)=
simplify= 26/7
what is nominal data involved the use of variables that have been rank ordered?
Answers
Data can be divided on the basis of qualitative nature into two types as follows:
Nominal data - Nominal data is defined as a type of qualitative data where variables are grouped into categories. They do not follow any specific order. For example, people can be categorised according to their sex as male, female or transgender.Ordinal data - Ordinal data is defined as a type of data that can be divided into categories with following any kind of order, that is the data can be ranked.Thus, it is clear that nominal data can not be ranked or ordered but ordinal data are the type of qualitative data that are categorised and then ranked or ordered.
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what is the mathematical method of handling imprecise or subjective information?
Answers
Fuzzy logic is commonly utilized in computer science, artificial intelligence, engineering, and other fields that require imprecise or ambiguous information to be handled.
The mathematical method of handling imprecise or subjective information is fuzzy logic.What is the mathematical method of handling imprecise or subjective information?The mathematical method of handling imprecise or subjective information is fuzzy logic. It is a form of reasoning that allows for the management of approximate, subjective, or ambiguous information to be carried out using a mathematical model. It is a soft computing technique that uses artificial intelligence to model uncertainty and imprecision in data. Fuzzy logic is commonly utilized in computer science, artificial intelligence, engineering, and other fields that require imprecise or ambiguous information to be handled.
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2,-4,8,-16
What is the next term in the sequence?
Answers
Answer:
32
Step-by-step explanation:
every time we are multiplying by -2 so if we do -16 x -2 we will get postive 32
Answer:
36
Step-by-step explanation:
it is a pattern of times -2
Does any one know how to to do Determining the GFC
Answers
PLEASE HELP ME!!
Simba loans $2,000 to his buddy Timon to teach hula lessons.
Timon is having trouble balancing his books and winds up losing $500 a month
after starting up his business. Pumba is helping Timon calculate how much debt
he will be in after one year if he doesn't make any changes. What should he use
for the y-intercept? What should he use for the rate of change?
Answers
Answer:
y-intercept: 2000rate of change: 500Step-by-step explanation:
When Timon starts, he is already $2000 in debt. If we represent Timon's debt with positive numbers, the y-intercept will be $2000.
Timon's debt seems to be increasing at the rate of $500 per month. That value is the rate of change.
After m months, Timon's debt d will be ...
d = 500m + 2000
A newspaper in Germany reported that the more semesters needed to complete an academic program at the university, the greater the starting salary in the first year of a job. The report was based on a study that used a random sample of 24 people who had recently completed an academic program. Information was collected on the number of semesters each person in the sample needed to complete the program and the starting salary, in thousands of euros, for the first year of a job. The data are shown in the scatterplot below. 70 65 60 55 Starting Salary (1.000 euros) 50 45 35 30 25 5 10 15 20 Number of Semesters (a) Does the scatterplot support the newspaper report about number of semesters and starting salary? Justify your answer. b) The coefficient of determination is 0.335. Interpret this value in the context of this problem. c) Determine the value of the correlation coefficient. Interpret this value in the context of this problem.
Answers
a) Yes, It does. The scatterplot support the newspaper report about number of semesters and starting salary.
b) The value is relatively low, indicating that there are other factors that also contribute to starting salary.
c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables.
The Correlation Coefficienta) The scatterplot appears to show a positive association between the number of semesters needed to complete an academic program and the starting salary in the first year of a job. As the number of semesters increases, the starting salary generally increases as well. Therefore, the scatterplot supports the newspaper report.
b) The coefficient of determination, or R-squared value, represents the proportion of the variation in the dependent variable (starting salary) that is explained by the independent variable (number of semesters). A value of 0.335 means that 33.5% of the variation in starting salary is explained by the number of semesters. This value is relatively low, indicating that there are other factors that also contribute to starting salary.
c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables. A value of 1 indicates a perfect positive correlation, a value of -1 indicates a perfect negative correlation, and a value of 0 indicates no correlation. The correlation coefficient for this data is not provided in the problem, so it is not possible to determine it. Without the correlation coefficient, it is not possible to interpret the strength and direction of the association between number of semesters and starting salary.
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Given the ordered pairs,
determine if AB and CD are
parallel, perpendicular, or
neither
A(-8, 3), B(-12, -2),
C(-7, -3), D(-2, -7)
a. parallel
b. perpendicular
c. neither
Answers
Answer:
B.) Perpendicular
Step-by-step explanation:
Slope of A
-2-3/-12+8= 5/4
Slope of B
-7+3/-2+7= -4/5
The slope of the two lines show that the lines are
B.) Perpendicular
A bag has 7 blue and 4 green m&m's. If two m&m's are randomly selecte one after the other, what is the probability that they both are green? a. With Replacement.
Answers
The probability that they both are green is 13.22%. If the selection is done with replacement, then the probability of selecting a green M&M on the first draw is 4/11 (since there are 4 green out of 11 total M&Ms).
The probability of selecting another green M&M on the second draw is also 4/11, since the first M&M is replaced before the second selection is made, so the number of green and blue M&Ms remains the same. Therefore, the probability of selecting two green M&Ms with replacement is the product of the probabilities of selecting a green M&M on the first and second draws:
P(two green with replacement) = P(green on first draw) * P(green on second draw)
= (4/11) * (4/11)
= 16/121
≈ 0.1322
or about 13.22%.
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Can somebody please help me? :(
Answers
Thus, the solution of the given inequality is found as: n > 4.86. The graph is plotted.
Explain about the inequality:When two parameters are equal, we use the sign "=," and when they aren't equal, we use the symbol "," meaning refers for "not equal." The first value may be greater than (>), less than (<), greater than equal to (≥), or less than equal to (≤) the second value if the two values are not equal.
Given inequality:
1.9(2.3n + 6) + 10.45 > 43.7
Subtract each side by 10.45
1.9(2.3n + 6) + 10.45 - 10.45 > 43.7 - 10.45
1.9(2.3n + 6) > 33.25
Divide each side by 1.9
1.9(2.3n + 6) / 1.9 > 33.25/1.9
2.3n + 6 > 17.5
Subtract both sides by 6
2.3n + 6 - 6 > 17.5 - 6
2.3n > 11.5
Now, divide each side by 2.3
2.3n/2.3 > 11.5/2.3
n > 4.86
Thus, the solution of the given inequality is found as: n > 4.86.
As, n must be great then 4.86, value of 4.86 is not take for n.
The graph is plotted.
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Correct question:
1. Solve 1.9(2.3n + 6) + 10.45 > 43.7 . Then graph the solution.
Find the product. Simplify
1/10 times 3/4
A 15/2
B 2/15
C 3/40
D 40/3
Answers
Answer:
C. 3/40 is the answer
Step-by-step explanation:
1/10×3/4
=3/40
the distance from city a to city b is 256.8 miles. the distance from city a to city c is 739.4 miles how much farther is the trip to city c than the trip to city b
Answers
Taking a difference, we can see that the trip to city C is 482.6 mi longer.
How much farther is the trip to city c than the trip to city b?
Here we know that the distance from city a to city b is 256.8 miles, and the distance from city a to city c is 739.4 miles
To find how much farther is the trip to city c than the trip to city b, we just need to take the difference between the two distances above.
That means that we need to take the distance to city c and subtract the distance to city b.
We will get:
739.4 mi - 256.8 mi = 482.6 mi
The trip to city C is 482.6 mi more than the trip to city B.
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*Math Autobiography*:
Write a MINIMUM single page,
(single-spaced, 12-point font, 1-
inch margins) reflection of your
experience with Advanced
Algebra so far. What have you
enjoyed or not? What
suggestions do you have for
your teacher for the next year?
How do you see this class
helping you in the future?
Answers
The Title of my Math Autobiography is called: Advanced Algebra Reflection
Suggestions for the teacher:
More hands-on activities, group discussions and real-world applications of algebraic concepts would enhance the learning experience. Visual representations help students understand abstract concepts.The Future Benefits:
The skills and knowledge gained in Advanced Algebra will be invaluable in science, engineering, economics, and computer science. Mastering Advanced Algebra equips me with analytical and logical thinking skills to excel in other disciplines.What is the Math Autobiography?My journey with Advanced Algebra has been challenging and rewarding. I will reflect on what I enjoyed, areas of difficulty, suggestions for my teacher, and how this class will benefit me in the future.
Algebra brings me joy by unraveling patterns and discovering logic in complex equations. Studying variables, functions, and graphs was intellectually stimulating and improved my problem-solving.
However, Advanced Algebra presented challenges. With perseverance and my teacher's guidance, I conquered complex topics like quadratic and systems of equations.
In all my experience with Advanced Algebra resulted in personal growth through enjoyable challenges and intellectual stimulation.
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I cant figure out how to solve this.
Answers
Answer:
GAE= 77
Step-by-step explanation:
so, we need to find what GAE equals
and we have what GAM equals and GAE+MAE=GAM
so we can add them and set them equal!
x^2+5x+4=13x+24
move all terms to the left side and set equal to zero!
x^2+18x+28=0
(we can use a diamond to solve this too) solve how ever you want to find x
x=10, -2
substitute the x in the GAM equation and you get 10^2+5(10)+4=154
then we can subtract MAE from GAM
7(10)+7=77
154-77=77
so GAE should be 77
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. -5, -1, 2
Answers
The polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. -5, -1, 2 is,
⇒ f (x) = x³ + 4x² - 7x - 10
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
For a polynomial,
A leading coefficient = 1,
And, the given zeros = -5, -1, 2
Now, We know that;
The standard polynomial is given by:
⇒ f (x) = a (x - p) (x - q) ...
Where, 'a' is leading coefficient and p, q, .. are zeroes.
Here, A leading coefficient = 1,
And, the given zeros = -5, -1, 2
Hence, The polynomial is,
⇒ f (x) = 1 (x - (-5)) (x - (- 1)) (x - 2)
⇒ f (x) = (x + 5) (x + 1) (x - 2)
⇒ f (x) = (x + 5) (x² - 2x + x - 2)
⇒ f (x) = (x + 5) (x² - x - 2)
⇒ f (x) = x³ - x² - 2x + 5x² - 5x - 10
⇒ f (x) = x³ + 4x² - 7x - 10
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