The Earth orbits the Sun and rotates around its own axis. The Moon orbits the Earth and is held in place by the Earth’s gravity. This is why the length of a day is gradually increasing over time.
The Moon’s gravitational pull causes the tides, which is why the ocean’s water level rises and falls. The gravitational pull of the Moon also affects the Earth’s rotation by slowing it down slightly. This is why the length of a day is gradually increasing over time.
The Earth orbits the Sun and rotates around its own axis, while the Moon orbits the Earth and is held in place by the Earth’s gravity. The Moon’s gravitational pull causes the tides and affects the Earth’s rotation by slowing it down slightly, resulting in a gradual increase in the length of a day.
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Students who attend Anytown College pay either in-state or out-of-state tuition, depending on where they reside. The mean and standard deviation of the sum, S, of tuition for a randomly selected pair of in-state and out-of-state students are μS = $6,348. 75 and σS = $1,508. 48. How can these values be interpreted? Check all that apply. The average of the sums of both types of tuitions would be $6,348. 75 for many, many randomly selected pairs of students. Students who pay both types of tuition will pay $6,348. 75 per semester. For a pair of randomly selected in- and out-of-state students, the sum of their tuitions is $6,348. 75. For a pair of randomly selected in- and out-of-state students, the sum of their tuitions typically varies from the mean of $6,348. 75 by about $1,508. 48. Students who pay both in- and out-of-state tuition should expect their cost to vary by about $1,508. 48 per semester
The average tuition for two randomly chosen in-state and out-of-state students is around $1,508 less than the mean of $6,348.75.
Mean Deviation
The average deviation from the mean value of the provided data set is determined using the mean deviation, which is defined as a statistical metric.
Given
μS = $6,348.75
σS = $1508.48
The average sum of the tuition fees is $6348.75
As a result, it follows:
The standard deviation of the tuition for in-state students is measured as a difference from 6348.75.
The standard deviation for out-of-state students gauges how their tuition is different from 1508 in total.
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HELP ASAP PLEASE!! The table shows the numbers of cars manufactured in thousands by a company for selected years. Use a calculator to write a quartic model for the number of cars manufactured in a given year since 2000. Then use the model to estimate the number of cars manufactured in 2007
In algebra, a symbol is used to denote an unknown numerical value in an equation or algebraic expression.
What is meant by variables?A variable in mathematics is a letter that is substituted for an unknown integer in equations, expressions, and formulas.
An unknown numerical value in an equation or algebraic expression is represented by a symbol (often a letter) in algebra. A variable is, to put it simply, a quantity that may be altered and is not fixed.
The two primary categories of variables are categorical and numeric. Then, for categorical and numerical variables, respectively, nominal or ordinal and discrete or continuous subcategories are created for each category. This section provides a quick overview of these types.
A.) (x) ≈ 0.572[tex]$$x^4[/tex] − 15.63x³ + 146.273x² − 523.325x + 687.334
Approximately 203 automobiles were produced in 2007, according to estimates.
B.) f(x) ≈ 0.423x³ − 12.463x2 + 123.485x − 223.309
Approximately 178 automobiles were produced in 2007, according to estimates.
C.) f(x) ≈ 0.572[tex]$$x^4[/tex] + 15.63x³ − 146.273x² − 523.325x + 687.334
Approximately 203 automobiles were produced in 2007, according to estimates.
D.) f(x) ≈ 0.423x³ + 12.463x² − 123.485x + 223.309
Approximately 178 automobiles were produced in 2007, according to estimates.
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Number of cars manufactured in 2007 will be equal to 178 or 203 based on quartic model.
What is meant by variables?A variable in mathematics is a letter that is substituted for an unknown integer in equations, expressions, and formulas.
An unknown numerical value in an equation or algebraic expression is represented by a symbol (often a letter) in algebra. A variable is, to put it simply, a quantity that may be altered and is not fixed.
The two primary categories of variables are categorical and numeric. Then, for categorical and numerical variables, respectively, nominal or ordinal and discrete or continuous subcategories are created for each category. This section provides a quick overview of these types.
A.) (x) ≈ 0.572 − 15.63x³ + 146.273x² − 523.325x + 687.334
Approximately 203 automobiles were produced in 2007, according to estimates.
B.) f(x) ≈ 0.423x³ − 12.463x2 + 123.485x − 223.309
Approximately 178 automobiles were produced in 2007, according to estimates.
C.) f(x) ≈ 0.572 + 15.63x³ − 146.273x² − 523.325x + 687.334
Approximately 203 automobiles were produced in 2007, according to estimates.
D.) f(x) ≈ 0.423x³ + 12.463x² − 123.485x + 223.309
Approximately 178 automobiles were produced in 2007, according to estimates.
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Which property is illustrated by the statement? 8⋅x=x⋅8
Answer:
Any value of x makes the equation true.
Step-by-step explanation:
all real numbers
interval notation:(-infinity, infinity)
pls mark as brainliest lol
Find the standard deviation for the set of data. {12,20,7,18,25,6,17,26,16}
A. 6.3
B. 6.65
C. 6.09
D. 8.22
Answer:
6.65
Step-by-step explanation:
That is approximately how far each number is from each other
13. Which situation can be represented bya true proportion?
A car used 3 gallons of gas to drive 72 miles on a highway and used 4 gallons of gas to drive 72 mileš town.
A store charged $20 for 2 shirts and charged $25 for 3 shirts.
A signal light flashed yellow 7 times in 28 seconds and flashed red 5 times in 35 seconds.
An alarm on a clock beeped 7 times in 6 seconds and beeped 14 times in 12 seconds.
The example of a proportion, is An alarm on a clock beeped 7 times in 6 seconds and beeped 14 times in 12 seconds.
What is a proportion?The term proportionality describes any relationship that is always in the same ratio.
Given are some statements,
a) A car used 3 gallons of gas to drive 72 miles on a highway and used 4 gallons of gas to drive 72 miles in a town.
Solution:- In this case, we see, a car is using 3 and 4 gallons of gas for driving in a highway and in a town for 72 miles respectively.
Since, the distance is same and quantity of gases is different therefore, this can not be represented as a proportion.
b) A store charged $20 for 2 shirts and charged $25 for 3 shirts.
Solution:- In this, let's first find the unit prices for each,
for $20 there are 2 shirts, therefore, for 1 shirt it will be $10, and for 3 shirts it costs $25, therefore, for 1 shirt it will cost $8.3
Since, unit price for both is not equal, therefore, this can not be represented as a proportion.
c) A signal light flashed yellow 7 times in 28 seconds and flashed red 5 times in 35 seconds.
Solution:- As in 2nd option, will here also find unit rate, since, yellow light is flashing 7 times in 28 seconds, therefore, in 4 seconds it will be flashed for 1 time, similarly, red light is flashing 5 times in 35 seconds, therefore, in 7 seconds it will be flashed for 1 time,
Since, both unit rates are not equal, therefore, this can not be represented as a proportion.
d) An alarm on a clock beeped 7 times in 6 seconds and beeped 14 times in 12 seconds.
Solution:- Again we will find unit rate, since, the alarm is beeping 7 times in 6 seconds, therefore, it will beep for 1 time in 6/7 seconds, similarly, it is beeping 14 times in 12 seconds, so for 1 time it will beep in 12/14 = 6/7 seconds.
Here, we see that, both the unit rates are equal, therefore, this is an example of a proportion.
Hence, the last option is the correct example.
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A case holds 48 boxes of candy and costs $24. How much would 2 % cases of candy cost?
Answer:
48 cents
Step-by-step explanation:
find the number of digits in the square root of 740200625 PLS ANSWER FAST
Answer:
740200625 square rooted equals
[tex]25 \sqrt{1184321} [/tex]
Product sales by month (in thousands) Month Product 1 Product 2 Product 3 Product 4 Product 5 January 228 964 429 169 456 February 188 784 414 238 520 March 222 816 422 235 562 April 222 738 414 214 624 May 176 710 420 303 670 June 120 697 486 768 342 Popular products are often placed in the window to attract customers into the store. Based on this information, which product should be displayed in the window in July?
Based on the information provided, it seems that the product that should be displayed in the window in July is Product 5.
What is mean?A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency. Simply dividing the dataset's total number of values by the sum of all of those values yields this result. Both raw data and data that have been combined into frequency tables can be used for calculations. Average refers to a number's average. It is straightforward to calculate:
Divide by how many digits there are after adding up all the digits. the total divided by the count.
Based on the information provided, it seems that the product that should be displayed in the window in July is Product 5. This can be determined by looking at the sales data for each product over the months of January through June.
In every month, Product 5 has the highest sales figures among all the products. This suggests that Product 5 is the most popular among customers and would likely attract the most attention if it were to be placed in the window.
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Scientists measure a bacteria population and find that it has 10,000 organisms. Five days later, they find that the population has doubled. Which function f could describe the bacteria population d days after scientists first measured it, assuming it grows exponentially?
Answer:
f(x)= 10,000(2)^x
Step-by-step explanation:
Exponential equations can be modeled by a(r)^x where a is the initial amount, r is the difference, and x is how many units the equation should be squared by.
A function that describes the bacteria population after d days would be,[tex]\bold{f(d) = 10000\times(1+0.15)^d}[/tex]
What is an exponential growth?An exponential growth function is a function that grows at a constant percent growth rate.
What is an exponential growth function?f(t) = a×(1 + r)^(t)
where f(t) = exponential growth function
a = initial amount
r = growth rate
t = number of time intervals
For given example,
initially a bacteria population (a) = 10,000
Five days later, they find that the population has doubled.
d = 5, f(5) = 20,000
Assuming it grows exponentially, we find the growth rate of a bacteria population by using the formula of exponential growth function.
[tex]\Rightarrow f(d) = a\times(1 + r)^{d}\\\\\Rightarrow f(5) = 10000\times (1+r)^5\\\\\Rightarrow 20000=10000\times (1+r)^5\\\\\Rightarrow 2=(1+5)^5\\\\\Rightarrow 1+r=\sqrt[5]{2}\\\\\Rightarrow 1+r = 1.15\\\\\Rightarrow r = 1.15-1\\\\\Rightarrow \bold{r = 0.15}\\\\\Rightarrow \bold{r=15\%}[/tex]
This means, the exponential growth function would be,
[tex]\bold{f(d) = 10000\times(1+0.15)^d}[/tex], where d represents number of days.
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Rebecca believes that the sum of 3 + (-53) is 8.9 Kenneth thinks the sum is -27. Who is correct?
Answer:
They both are not correct.
Step-by-step explanation:
3+(-53) = -50 not -27 or 8.9
Thirty percent of the balloons used to decorate a party are red and the rest are yellow. If one-quarter of the yellow balloons have strings and there are a total of 40 balloons, how many of the yellow balloons do not have strings
62.5 of the yellow balloons lack strings. The ratio of positive outcomes to all outcomes in that sample space is generally referred to as the probability.
What is the probability formula?The ratio of positive outcomes to all outcomes in that sample space is generally referred to as the likelihood. The formula is: Probability of an Event P(E) = (Number of Favorable Outcomes) (Sample space).
The ratio of positive outcomes to all outcomes in that sample space is generally referred to as the likelihood.
A sample is created in this way, and using the data collected, the calculation can be done. The formula for calculating probabilities is probability = Favorable instances / Possible cases x 100, given as a percent.
25/40 * 100 = 0.625*100 = 62.5.
62.5 of the yellow balloons lack strings.
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How many solutions does this equation have. 3 (4x-5) = 6x+15
Answer:
6 or 7 depends if you simplify
Step-by-step explanation:
Select the correct answer.
Which expression is equivalent to √48x^5, if x > 0?
O A.12³√3x
OB. 42³√3
O c. 4x²√3x
OD. 12x²√x
Step-by-step explanation:
O c. 4x²√3x expression is equivalent to √48x^5, if x > 0?
The football team would like to purchase tickets to see a U of M football game. StubHub is charging $45 per ticket along with a handling fee of $4 per ticket. The shipping charge for all of the tickets is a flat fee of $20. How many players can attend the game if their budget is $1500? Write and solve an inequality that models this situation
Answer: Let x be the number of players who can attend the game. The total cost for the tickets is $45 per ticket * x tickets + $4 per ticket * x tickets + $20 flat fee = $49x + $20. We can write this as an inequality as follows:
49x + 20 <= 1500
To solve this inequality, we need to isolate the x term on one side of the inequality. We can do this by subtracting 20 from both sides:
49x <= 1480
Then, we can divide both sides by 49 to find the value of x:
x <= 30
Thus, if their budget is $1500, the football team can purchase tickets for at most 30 players to attend the game.
Step-by-step explanation:
Is y 4 a horizontal asymptote?
Yes, the horizontal asymptote is at y = 4.
The term asymptote in math is known as a straight line that constantly approaches a given curve but does not meet at any infinite distance.
Here we have given the expression y = 4.
In order to find whether it is an horizontal asymptote or not, we have to plot it on the graph,
The first process is to label the graph with x and y axis.
And then we have to defines the scale for the for the graph.
Now, we have to input the expression y = 4 on the graph then we get the graph like the following.
While we looking into the given graph we have identified that the expression y = 4 makes the horizontal asymptote on the graph.
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HELP DUE IN 10 MINS!
Determine which of the following quadrilaterals have the property below. Choose all that apply.
At least one pair of opposite sides are parallel??
Parallelogram
Rhombus
Rectangle
Square
Kite
Isosceles Trapezoid
Answer:
Parallelogram, rectangle, rhombus, square, and isosceles trapezoid.
A box of highlighters originally cost
$
18
. It goes on sale at
10
%
off the original price.
Fill in the blanks:
Original percentage
=
%
Percentage off
=
%
Percentage left over
=
%
Complete the number sentence to show how to find the sale price of the box of highlighters:
Sale price
=_______% x $18
Answer:
hhhhjjff?ihd,uiufy?उग्फ्त्त्य्युउउउईईइय्त्ग्ग
When the inverse of a function is itself a function it is called?
When the inverse of a function is itself a function it is called self-inverse.
A mathematical phrase, rule, or law establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
This relationship is commonly symbolized as y = f(x)—which is said “f of x”—and y and x are related such that for every x, there is a unique value of y.
A self-inverse function ‘reverses itself’ to produce the original input.
A function f is self-inverse if it has the property that f(f(x))=x for every x in the domain of f. In other words, f(x)=f−1(x).
For example, 1x and 3−x are self-inverse.
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PLZ HELP ME I BEG UUUUU
Answer:
43.96
Step-by-step explanation:
14 x 3.14 = 43.96
7 is the radius but 14 is the like line and to find it you add 7 plus 7 (aka the other half) and multiply it by 3.14 thus the answer is
43.96
Answer:
B
Step-by-step explanation:
C = d x pi
Since the radius is half of the diameter, we have to multiply 7 and 2 which would give us 14. After that, we multiply 14 and 3.14 which gives us 43.96 in.
Please help meh plzzzzzz
Answer:
40 units²
Step-by-step explanation:
Surface Area of a square pyramid = b² + 2bl, b = 4, and l = 3
=> (4)² + 2(4)(3)
=> 40 units²
Hope this helps!
Answer:
4 x 4 = 16(area of base below *square*)
3 x 4 = 12, 12 divided by 2 ( x 1/2) = 6(area of one triangle side), 6 x 4 = 24(area of 4 triangles on all sides
Adding all given areas:
16 + 24 = 40 squared.
Find the equation of the line that has the given x-intercept and y-intercept. Write the answer in standard form.
Answer:
x - 4y = -4
Step-by-step explanation:
Standard form of a line: Ax + By = C
Equation of line in x-intercept and y-intercept form:
[tex]\sf \boxed{\dfrac{x}{a}+\dfrac{y}{b}=1}[/tex]
Here a is x-intercept and b is y-intercept.
a = -4 & b = 1
[tex]\sf \dfrac{x}{-4}+\dfrac{y}{1}=1\\\\\text{Mutiply the entire equation by (-4)},\\\\(-4)*\dfrac{x}{-4} + (-4)*\dfrac{y}{1}=1*(-4)\\\\\\x - 4y = -4[/tex]
Equation of line in standard form:
x - 4y = -4
Suppose a, b, c, and d are constants such that a is not zero and the system below is consistent for all possible values of f and g . What can you say about the numbers a, b, c, and d?
Justify your answer. axı + bx2 = f cxı + dx2 = g
a and d are non-zero and ad = bc for the system to be consistent for all possible values of f and g.
By definition, a system is consistent if there exists a set of solutions that satisfy the equations. In this system, the constants a, b, c, and d are the coefficients of the two equations. Since the system is consistent for all possible values of f and g, then the coefficients must satisfy certain conditions. For example, a and d must both be non-zero in order for the equations to be solvable. Additionally, the coefficients of both equations must be in proportion to each other, meaning that ad must equal bc. This is necessary for the equations to have the same slope, which is necessary for them to be solvable. Thus, we can conclude that a and d are non-zero and ad = bc for the system to be consistent for all possible values of f and g.
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How to solve 6×+8 = 12x-4
Hello. Nice to meet you.... ok pls help.. i'll give 25 points? ;-;
Answer:
A = 5.
B = 2.
C = 1.
D = 6.
E = 3.
F = 7.
G = 4.
Explanation:
The Law of Distributions
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Help!! Stuff about triangles
Answer:
3
Step-by-step explanation:
Since [tex]\angle A \cong \angle A[/tex] by the reflexive property and [tex]\angle ABC \cong \angle ADE[/tex] since they are both right angles, [tex]\triangle ABC \sim \triangle ADE[/tex] by AA.
It follows that:
[tex]\frac{x}{9}=\frac{5}{9+6} \implies x=3[/tex]
Which of the following could be the perimeter of a rectangle with an area of 16 square inches?
Answer:
16 inches
Step-by-step explanation:
2n -3=7
what is the variable?
What is the coefficient of the variable?
Which of these the solution of the equation?
The variable for the equation 2n - 3 =7 is 5.
What is variable ?
A variable is a symbol used to denote a mathematical object in mathematics. Any number, vector, matrix, function, function argument, set, or set element can be represented by a variable.
A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem. Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.
An amount that can fluctuate depending on the mathematical issue is referred to as a variable. The generic letters x, y, and z are frequently employed in mathematical expressions and equations. A variable, then, is a symbol denoting a number whose value is unknown.
Then variable is n
Variable is an alphabet that depend on number.
Then the variable there is n
And the coefficient of the variable is 2
The coefficient is the number behind a variable
And the value of the variable is
2n-3=7
Add 3 to both sides
2n-3+3=7+3
2n=10
Divide both side by 2
2n/2=10/2
n=5
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Which expression is equivalent to 2x² 4 3x² 2x 7?
Given Expression is equivalent to 5x^2 - 2x + 3 With the Same Variable and exponent we have added or subtracted their constant value.
First, try to learn 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 phrase 4x+ 15, for instance, the terms 4x and 15 are separated from the variable x by the arithmetic sign +.
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
The following components make into a mathematical expression:
Constant, Variables, Terms, Operators.
Given expression is (2x^2-4) - (-3x^2+2x-7)
let's Multiply - sign inside the bracket.
2x^2 - 4 + 3x^2 - 2x + 7
With the Same Variable and exponent and their constant value, we can perform mathematical operations like addition, multiplication, and subtraction.
2x^2 + 3x^2 = 5x^2
5x^2 - 2x + 3.
Given Question is incomplete complete question here.
Which expression is equivalent to
[tex](2x^2-4)-(-3x^2+2x-7)[/tex]
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Joey's friend Tim is buying lunch for him and their friends at a restaurant. The bill is $60. Joey tells Tim he will pay for the tip. He wants to leave a 15% tip. How much does Joey need to leave for the tip?
Answer:
$9
Step-by-step explanation:
60 x 15% tip
60 x .15’
$9 is tip
Math question needing help asap
Answer:
1. 295.262 liters
2. 107770.63 liters in a year
Step-by-step explanation:
i'm not sure about number 2, but i got that by multiplying 295.262 liters times 365 cuz there are 365 days in a year. i hope this helps!