3^4 x 10^6
What is the answer ??
In June, Lupita saved $115 for retirement. In July, she saved $165. To the nearest percent, what was the increase in Lupita's retirement savings from June to July?
The increase in Lupita's retirement savings from June to July to the nearest percentage is 44%.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The percentage therefore refers to a part per hundred.
It is given that the initial amount of money Lupita had in June is $115
In July the amount of money Lupita saved increased to $165
We are asked to find this increase in money as a percentage.
Increase in percentage
= {(Final amount of money - Initial amount of money) / Initial amount of money } × 100
= {(165 - 115) / 115 } × 100 = 43.48%. ≈ 44%
Therefore the increase in amount of money saved as percentage is 44%.
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The spray from a spinning lawn sprinkler makes a circle with a 40 foot radius. If Ben and his friends what to play and get wet, how much space do they have? (ENTER NUMBER ONLY)
Therefore, Ben and his friends have approximately 5026.55 square feet of space to play and get wet in. Answer: 5026.55
What is circle?A circle is a two-dimensional geometric shape that is defined as a set of all points in a plane that are at a constant distance from a single fixed point called the center. The distance between the center and any point on the circle is called the radius, which is a fixed length for all points on the circle.
A circle is a closed curve and is often represented by the symbol "O". It has several important properties, such as its circumference (the distance around the circle) which is given by the formula C=2πr, where r is the radius, and π (pi) is a mathematical constant approximately equal to 3.14159.
So, the area of the circle covered by the sprinkler is:
A = π *\((40)^{2}\) ≈ 5026.55 square feet
Therefore, Ben and his friends have approximately 5026.55 square feet of space to play and get wet in.
Answer: 5026.55
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There is a stack of 10 cards, each given a different number from 1 to 10. Suppose we select a card randomly from the stack, replace it, and then randomly select another card. What is the probability that the first card is an odd number and the second card is less than 5?
Answer:
20% or 1/5.
Step-by-step explanation:
Out of ten cards, the chance of getting an odd number is of course 50% or 1/2 since half of them are odd and the other half are even. Then the chance of getting a card less than 5, or 1, 2, 3, or 4 is 40% or 2/5. Multiply these together and half of 2/5 is 1/5 so your answer is 1/5 or 20%.
What is the opisite of 47 helppp!!!!
Answer:
-47
Step-by-step explanation:
Summarizing allows you to focus on the important information by finding the introduction, topic sentence and
conclusion.
Please select the best answer from the choices provided
True or false
True. Summarizing allows you to focus on the important information by finding the introduction, topic sentence and conclusion.
Importance of summarySummarizing is a technique that helps to distill the main points of a text by identifying the introduction, topic sentence, and conclusion. It involves condensing the information to focus on the most important aspects and omitting unnecessary details.
This process enables the reader to grasp the core message of the text quickly and efficiently.
By summarizing, one can communicate the key ideas in a concise and clear manner, making it easier for others to understand and engage with the information presented.
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what percent of 80 is 60
It is 75%.
Hope this helps.
We can write the complete statement as -
75% of 80 is equivalent to 60.
How can we represent "a% of b"?We can represent "a% of b" as -
a% of b = a/100 x b
a% of b = ab/100
So, a% of b = ab/100
Given is to find what percent of 80 is 60.
Assume that {x}% of 80 is equivalent to 60. So, we can write -
60 = x% of 80
60 = {x}/100 x 80
60 = 80x/100
60 = 8x/10
x = 600/8
x = 75
So, we can write that
75% of 80 is equivalent to 60.
Therefore, we can write the complete statement as -
75% of 80 is equivalent to 60.
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In George's school, 0.386 of the students participated in an event. If there are one thousand students in George's school, how many participated in the event?
positive integers greater than -6 but less than +21
Step-by-step explanation:
Inequality to describe problem:
\( - 6 < x < 21\)
x represents the unknown integer(s).
Integers are positive or negative numbers that don't have a fraction, or a decimal.
Positive integers that work in the inequality:
\( - 6 < 1< 21\)
\( - 6 < 2 < 21\)
\( - 6 < 3 < 21\)
\( - 6 < 4 < 21\)
\( - 6 < 5 < 21\)
\( - 6 < 6 < 21\)
\( - 6 < 7 < 21\)
\( - 6 < 8 < 21\)
\( - 6 < 9 < 21\)
\( - 6 < 10< 21\)
\( - 6 < 11 < 21\)
\( - 6 < 12 < 21\)
\( - 6 < 13 < 21\)
\( - 6 < 14 < 21\)
\( - 6 < 15 < 21\)
\( - 6 < 16 < 21\)
\( - 6 < 17 < 21\)
\( - 6 < 18 < 21\)
\( - 6 < 19 < 21\)
\( - 6 < 20 < 21\)
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 work out as positive integers.
please view the picture below
the answer is D (i think i'm sorry if i get u wrong)
Prove that Newton-Raphson method for solving the equation \(x^{k} e^{x} = 0\) (where k is constant) is given by this formula: \(x _{n +1} = \frac{(K-1)x_n + x_n^{2} }{K+x_n}\)
We have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)
To prove that the Newton-Raphson method for solving the equation \(x^k e^x = 0\), where k is a constant, is given by the formula
\(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n,\)
we can start by considering the iterative process of the Newton-Raphson method.
Given an initial guess \(x_n\), we want to find a better approximation \(x_{n+1}\)that is closer to the root of the equation \(x^k e^x = 0.\)
The Newton-Raphson method involves the following steps:
Calculate the function value \(f(x_n) = x_n^k e^x_n\) and its derivative \(f'(x_n) = k x_n^(k-1) e^x_n.\)
Find the next approximation x_{n+1} by using the formula:
\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)
Let's apply these steps to our equation \(x^k e^x = 0\):
Calculate the function value and its derivative:
\(f(x_n) = x_n^k e^x_n\\f'(x_n) = k x_n^(k-1) e^x_n\)
Find the next approximation x_{n+1} using the formula:
\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)
Substituting the function value and its derivative:
\(x_{n+1} = x_n - (x_n^k e^x_n) / (k x_n^(k-1) e^x_n)\\= x_n - (x_n^k / k)\)
Simplifying the expression by combining like terms:
\(x_{n+1} = x_n - (x_n^k / k)\\= x_n - x_n^k / k\\= (k - 1) x_n + x_n^2 / k + x_n\)
Therefore, we have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)
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Which of the following tables represents a linear function? x −4 −1 0 1 2 y −4 2 −4 0 2 x 1 1 1 1 1 y −3 −2 −1 0 1 x −6 −1 0 2 3 y −7 negative sixteen thirds −5 negative thirteen thirds −4 x −2 −1 0 2 4 y −4 negative two thirds −1 two thirds 1 Question 5(Multiple Choice Worth 5 points) (Experimental Probability MC) A bag is filled with an equal number of red, yellow, green, blue, and purple socks. The theoretical probability of a child drawing 2 yellow socks from the bag with replacement is one fifth. If the experiment is repeated 175 times, what is a reasonable prediction of the number of times he will select 2 yellow socks? one fifth 10 25 35 Question 6(Multiple Choice Worth 5 points) (Identifying Functions LC) The graph represents a relation where x represents the independent variable and y represents the dependent variable. a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 1 comma negative 1, at 0 comma 2, at 1 comma 3, and at 5 comma 1 Is the relation a function? Explain. No, because for each input there is not exactly one output. No, because for each output there is not exactly one input. Yes, because for each input there is exactly one output. Yes, because for each output there is exactly one input. Question 7(Multiple Choice Worth 5 points) (Line of Fit MC) A movie theater wanted to determine the average rate that their diet soda is purchased. An employee gathered data on the amount of diet soda remaining in the machine, y, for several hours after the machine is filled, x. The following scatter plot and line of fit was created to display the data. scatter plot titled soda machine with the x axis labeled time in hours and the y axis labeled amount of diet soda in fluid ounces, with points at 1 comma 30, 1 comma 40, 2 comma 34, 3 comma 24, 3 comma 30, 4 comma 18, 5 comma 15, 5 comma 24, 6 comma 4, 6 comma 20, 7 comma 10, and 8 comma 0, with a line passing through the coordinates 3 comma 26.7 and 7 comma 7.66 Find the y-intercept of the line of fit an
The y-intercept of the line of fit is approximately 43.94 fluid ounces.
What is Probability ?
Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.
The answer is 35. If the theoretical probability of drawing two yellow socks is one fifth, then the experimental probability of drawing two yellow socks in one trial with replacement is also one fifth. Therefore, out of 175 trials, the number of times he will select two yellow socks can be predicted by multiplying the number of trials by the experimental probability: 175 * (1/5) = 35.
No, because for each input there is not exactly one output. The relation is not a function because for the input x = -5, there are two possible outputs: y = 1 and y = -1. Therefore, the relation violates the vertical line test, which requires that every vertical line intersects the graph at most once for the relation to be a function.
The y-intercept of the line of fit is approximately 43.94 fluid ounces. To find the y-intercept, we can look at the point where the line of fit intersects the y-axis (i.e., when x = 0). From the equation of the line of fit, we can see that the y-coordinate when x = 0 is approximately 43.94, which represents the initial amount of diet soda in the machine before it starts to be purchased.
Therefore, The y-intercept of the line of fit is approximately 43.94 fluid ounces.
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find the values of x and y
Answer:
Y is 90 and x is 90
Step-by-step explanation:
Which of the following is equal to tan θ using coordinates on the unit circle? Question 18 options: A) x∕y B) y C) y∕x D) x
Step-by-step explanation:
tan 0 = y/x (as a drawing attached)
The requried, y/x is equal to tan θ using coordinates on the unit circle. Option C is correct.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.
Here,
In a unit circle, the coordinates of a point on the circle are (cos θ, sin θ), where θ is the angle formed by the radius of the circle and the positive x-axis. Therefore, the tangent of θ is given by the ratio of sin θ to cos θ, which is (sin θ)/(cos θ) = y/x. Simplifying this expression, we get tan θ = y/x.
Therefore, the answer is option C) y/x.
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Parallel Structure:Question 6
Which sentence uses parallel
structure correctly:
Select one:
Eggs, flour, and turning the oven to 350 degrees are needed for
baking the pie.
Eggs, flour, and having turned the oven to 350 degrees will be
needed to bake the pie.
Eggs, flour, and sugar are needed to bake the pie crust.
Eggs, flour, and turning the oven to 350 degrees are needed to
bake the pie crust.
parallel structure is used correctly in :
Eggs, flour, and sugar are needed to bake the pie crust.
In grammar, parallelism, also referred to as parallel structure or parallel construction, is the distribution of identical phrases or clauses with the same grammatical structure within one or more sentences.
The use of parallel structure is more of a stylistic option than a strict rule because it aids in the patterning of sentence elements.
The use of parallelism has an impact on reading and may facilitate text processing.
The rhythm and grammatical balance of a sentence are both guaranteed by using parallel construction.
However, if this structure is not used when creating a sentence with two or more pieces of information, the sentence will have a disruption in rhythm or grammatical imbalance.
Therefore, the correct answer is:
Eggs, flour, and sugar are needed to bake the pie crust.
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Please help me in confused
Answer:
20\(c^{6}\)
Step-by-step explanation:
using the rule of exponents
\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)
given
(- 4c³)(- 5c³) ← remove parenthesis
= - 4 × c³ × - 5 × c³
= - 4 × - 5 × c³ × c³
= 20 × \(c^{(3+3)}\)
= 20\(c^{6}\)
Using Compound Interest, calculate the principle and interest earned (final
balance/principal
and interest) if:
Principle=$2,000
Interest Rate=8.5%
Time=10 years
Interest Calculated Quarterly
Answer: 20,085
Step-by-step explanation: 2,000x10=20,000. 8.5x10=85. 20,000+85=20,085.
I hope I got this right and if I did it right.
Suppose the man in the St. Ives poem has x wives, each wife has x sacks, each sack has x cats, and each cat has x kits. Write an expression using exponents that represent the total number of kits, cats, sacks, and wives.
Please I got to at least get a 90 on my homework
The total number of kits, cats, sacks and wives is x⁴+x³+x²+x
What is an exponential expression?Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor. For example 3×3×3×3 can be written as 3⁴.
A man has x wives, each wife has x sack, therefore the number of sack = x×x = x²
each sack has x cats, therefore the number of cats = x²×x = x³
each cats has x kits, therefore the number of kits = x³× x= x⁴
therefore the total number of kits , cats, sacks and wives = kits + cats+ sacks + wives= x⁴+x³+x²+x.
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help me please please please
The angle measures for this problem are given as follows:
a = 62º.b = 118º.c = 62º.d = 62º.How to obtain the angle measures?The sum of the measures of the internal angles of a triangle is of 180º.
The triangle in this problem is ABC, hence the measure of a is obtained as follows:
a + 68 + 50 = 180
a = 180 - (68 + 50)
a = 62º.
c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:
c = 62º.d = 62º.Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:
a + b = 180
62 + b = 180
b = 118º.
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pls help, cooldown lesson 7
The evaluation the city's population, to find the (average) rate of change of the population is presented as follows;
The average rate of change of the city population between 1930 and 1950 is 0.25 thousands per year
2. a. Positive
b. Negative
c. Negative
3. The population grew fastest in the decade between 1910-1920
What is the average rate of change of a function?The average rate of change of a function within an interval, is an indication of change of the function per unit change within the interval.
The city population in 1930 = 40 thousand
The population of the city in 1950 = 45 thousand
The average rate of change of the population between 1930 and 1950 therefore is;
Average rate of change = (45 - 40)/(1950 - 1930) = 0.25
The population increases at an average rate of 0.25 thousand persons per year between 1930 and 1950
2. The rate of change of the population between two years is positive, where the line joining the the two years increases from left to right and the rate of change is negative where the line decreases from left to right
a. The line joining the points 1930 and 1940 on the graph increases from left to right, therefore;
The slope and the average rate of change is positiveb. The location of the point on the graph in 1950 is the highest point while the location of the point on the graph corresponding to the year 1970 is lower, therefore, the line joining the points on the graph decreases from left to right and therefore;
The average rate of change is negativec. 1930 corresponds to a population of 40 thousand, while 1970 corresponds to a population of 35 thousand, therefore, a line extending from 40,000 (1930) to 35,000 (1970), decreases from left to right and therefore;
The average rate of change is negative3. The population growth between 1900 and 1910 is from 20 thousand to 25,000; A growth of 5 thousand
The population growth between 1910 and 1920 is from 25 thousand to 35 thousand; Representing a growth of 10 thousand
The population growth between 1920 and 1930 is from 35,000 to 40,000; A growth of 5 thousand
The change in the population between 1930 and 1940 ≈ 44,000 - 40,000 = 4,000
The change in the population between 1940 and 1950 = 45,000 - 44,000 = 1,000
Therefore, the population grew fastest between 1910 and 1920, with a growth of 10,000 in 10 years or 1,000 per year
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A city mayor plans to build two new
parks. Each park will cover 1.45 acres.
How many acres will the new parks
cover altogether? Explain.
Most
represe
Answer: 2.90 acres.
Step-by-step explanation:
1.45x2 or 1.45 + 1.45
the y coordinate is 7 more than the x coordinate
Answer:
if you have the value of x then y =x +7
please help me with i’ll give you brainlist
The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median.
What is whisker plot?A whisker plot, also known as a box and whisker plot, is a graphical representation of a set of numerical data through their quartiles. The plot consists of a box with whiskers extending from the top and bottom, showing the spread and distribution of the data. The five-number summary, which includes the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value, is used to create the whisker plot.
Here,
To create a box and whisker plot, we need to find the five-number summary of the data set, which includes:
Minimum value: the smallest value in the data set.
First quartile (Q1): the median of the lower half of the data set.
Median: the middle value in the data set.
Third quartile (Q3): the median of the upper half of the data set.
Maximum value: the largest value in the data set.
First, we need to put the data in order:
10, 12, 14, 15, 16, 18, 22, 24, 25, 28
The minimum value is 10 and the maximum value is 28.
The median is the middle value, which is 18.
To find the first quartile, we need to find the median of the lower half of the data set, which is:
10, 12, 14, 15, 16
The median of this lower half is 14.
To find the third quartile, we need to find the median of the upper half of the data set, which is:
22, 24, 25, 28
The median of this upper half is 24.
So, the five-number summary for this data set is:
Minimum value = 10
First quartile (Q1) = 14
Median = 18
Third quartile (Q3) = 24
Maximum value = 28
Now we can use this information to create the box and whisker plot:
| |
----+----+----+----+----
10 14 18 24 28
The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median. The whiskers extend from the box to the minimum and maximum values in the data set.
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A car traveled 300 meters in 30 seconds. A truck traveled 600 meters in 60 seconds. Which car was faster ?
Multiply the car by 2: 300 meters x 2 = 600 meters
30 seconds x 2 = 60 seconds.
The car also traveled 600 meters in 60 seconds, so the speed of the vehicles are the same.
No vehicle was faster.
Solve each of the quadratic equations.
0 = 5x2 - 2x + 6
A square has a perimeter given by the expression 16x + 32y write an expression for the length of one side of the square. a expression
The expression for the length of one side of the square is 4x + 8y.
What is the expression for the length of one side of the square?A square is simply a geometric shape with four equal sides and four right angles.
The perimeter of a sqaure is expressed as:
P = 4s
Where "4s" represents the sum of all four sides of the square, since all sides of a square are equal in length.
Given that:
Perimeter P = 16x + 32y
Then plug into:
P = 4s
16x + 32y = 4s
To find an expression for s, we can divide both sides by 4:
4s = 16x + 32y
4s/4 = 16x/4 + 32y/4
s = 4x + 8y
Therefore, one side of the square is 4x + 8y.
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if the current ratio is 2:1 it is possible that
Answer:
is this question complete? there is nothing after the word “that”
Step-by-step explanation:
Select all the side lengths that would create a right triangle:
0
6,8,10
4,10,15
8,15,21
12, 16, 20
15, 17, 25
5,12,13
The side lengths that would create a right triangle exists 5 , 12 , 13.
How to create a right triangle?The Pythagorean Theorem is satisfied if a triangle is a right triangle and its side lengths.
a² + b² = c²
Test each set of values by entering them into the Pythagorean Theorem to ascertain which option is right. 3 and 13 and 14 are the first set of numbers.
3² + 13² = 14²
simplifying the above equation, we get
9 + 169 = 196
178 = 196
The first set of values don't accurately represent the side lengths of a right triangle because the outcome isn't real equality. Run the other four options by you. The Pythagorean Theorem only accepts the values 5, 12, and 13.
5² + 12² = 13²
simplifying the above equation, we get
9 + 169 = 196
178 = 196
Since the result is not a true equality, the first set of values does not represent the side lengths of a right triangle. Test the other four choices. The only values that satisfy the Pythagorean Theorem are 5, 12, and 13.
5² + 12² = 13²
simplifying the above equation, we get
25 + 144 = 169
169 = 169
Therefore the correct answer is 5 , 12 , 13.
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The diameters of two circles are 12 and 9 what the difference in square centimeters between the areas of the two circles
Step-by-step explanation:
Area of circle= π(d/2)²For 1st Circle, A1= 36π
For 2nd Circle, A2= 81π/4
A1-A2 = 63π/4
π = 22/7
=49.5unit²
The differences in the areas of circles in square centimeters is 49.455
Formula for area of circle
\(A = \pi r^{2}\)
Where,
A is the area of circle
r is the radius of circle
and π = 3.14
What is radius of a circle ?Radius of circle is the distance from the center of the circle to any point on it's circumference. It is calculated as :
\(Radius = \frac{diameter}{2}\)
According to the given question
Diameter of one circle is 12cm and diameter of another circle 9cm.
Area of circle with diameter 12 cm = \(\pi (\frac{12}{2} )^{2}\) = \((3.14)(6)^{2}\) = 113.04 square cm
Area of circle with diameter 9 cm = \(\pi( \frac{9}{2} )^{2} =(3.14)(4.5)^{2} = 63.585\) square cm
Therefore,
The difference between the areas of two circles = (113.04 -63.585) square centimeter = 49.455 square centimeter.
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A company uses the graph to show how many packages each truck driver delivers .How many packages will one truck driver deliver in a 7-hour day?
The truck driver would deliver 105 packages in a 7 hours day
What is an equation?An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:
y - 15 = [(60-15)/(4-1)](x - 1)
y = 15x
For a 7 hour day (x = 7):
y = 15(7) = 105
The driver would deliver 105 packages in 7 hours
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