Five million four thousand three hundred can be written in standard form as 5,004,300.
Write the number five million four thousand three hundred in standard form?5,004,300 = 5 x 10^6 + 4 x 10^3 + 3 x 10^0.The number is composed of five millions (5,000,000), four thousand (4,000) and three hundred (300).In standard form, all numbers are written as a multiple of a power of ten. To convert the number to a multiple of a power of ten, the millions, thousands and hundreds are split apart. The millions is written as 5x10^6. This is because one million is equal to 10^6, and there are five millions. The thousands is written as 4x10^3.This is because one thousand is equal to 10^3, and there are four thousands. The hundreds is written as 3x10^0. This is because one hundred is equal to 10^0, and there are three hundreds. When the three parts are combined, the number is written as 5x10^6 + 4x10^3 + 3x10^0.This can be simplified to 5,004,300. This is the standard form of the number five million four thousand three hundred.To learn more about standard form refer to:
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Answer:
The number five million four thousand three hundred can be written in standard form as `5,004,300`. In scientific notation, it can be written as `5.0043 x 10^6`.
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Jacob rents tablecloths from two companies. The first company charges $18 for an initial fee and $3 per table cloth, and the second company charges $20 and $2 per table cloth.
Answer:
A. two table cloths
B. 24$
Step-by-step explanation:
First, develop your functions:
[tex]f(x)=3x+18\\g(x)=2x+20[/tex]
f(x) is the first company, g(x) is the second company.
A.
Set the two equations to be equal to each other and solve for x:
[tex]f(x)=g(x)\\3x+18=2x+20\\3x-2x=20-18\\x=2\\[/tex]
B.
Just plug in the value you got from A into either function:
[tex]f(2)=3(2)+18\\f(2)=24[/tex]
Complete both equations to represent the cubes and the vectors on the number line.
Part A
++
-10
1
1+
-5
+1
1+
+1
14
++++++
1
0
5
+
10
The cubes can be represented by the equation x³, where x represents the length of one side of the cube.
How to complete both equations to represent the cubes and the vectors on the number line?The vectors on the number line can be represented by the equation y = x, where x represents the position on the number line and y represents the magnitude of the vector.
So, to complete both equations, we can assign values to x and see the resulting values for y:
For the cubes:
x = 1, y = 1³ = 1x = 5, y = 5³ = 125x = 10, y = 10³ = 1000For the vectors:
x = -10, y = -10x = -5, y = -5x = 0, y = 0x = 1, y = 1x = 14, y = 14So, both the cubes and vectors can be represented on the number line, with the cubes represented as points with their x and y values being the length of one side and the volume of the cube, respectively, and the vectors represented as lines with their x and y values representing the position on the number line and the magnitude of the vector, respectively.
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Find the missing angles measurements
Please show work
m<6 = 125° ( m<4 & m<6 are corresponding angles)
m<5 = 180°-125° (angles on a straight line)
= 55°
m<8 = 125° (corresponding angles)
m<7 = 55° (angles on a straight line)
ocean waves with a wavelength of 8.8 m and velocity v = 1.20 m/s can be modeled using the equation shown, y(x, t) = (0.62 m) sin (0.714 m−1)(x − vt) .
With a 1.20 m/s velocity and an 8.8 m wavelength, this equation simulates ocean waves. The wave has an amplitude of 0.62 m and a wave number of 0.714 m-1. Position x and time t are both functions of the wave, with the time component being multiplied by velocity.
With a wavelength of 8.8 metres and a speed of 1.20 metres per second, this equation simulates the behaviour of ocean waves. According to the equation, the wave is a function of the position x, the time t, and the velocity times the time component. The wave's maximum size, or amplitude, is 0.62 m, which is the measurement of the wave's size. The wavelength of the wave is determined using the wave number, which is 0.714 m-1. The sine of the equation, which is 0.62 m multiplied by the sine of 0.714 m1, multiplied by (x vt), is used to determine the wave. This equation demonstrates how the wave is a dynamic entity that depends on both place and time.
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The area of Kylie's Fram is n acres. The area of Kylie's farm is 8 times larger than Sean's farm. If s represent the area of Sean's farm express s in terms of k
a: s=8k
b: k=s/8
c: s=k/8
d: k=16s
Answer:
C s = k÷8
Step-by-step explanation:
Kylies Farm is 8 times larger than Sean's. So if we divide the size of Kylie's farm by 8, we have the size of Sean's farm.
s = k ÷ 8
k = 8s
k ÷ 8 = s
s × 8 = k
HELP ASAP! WILL GIVE BRAINLIEST!
determine value of x.
Answer:
In this Equation x = 44.78 = 24 + 12root3
a student conducting a research study was told by her professor to use a scatterplot in conjunction with calculating the correlation coefficient. she discovered that the data points clustered along a straight line; this means that: group of answer choices
This means that a linear relationship exists among the variables.
When the data points on a scatterplot cluster along a straight line, it indicates that there is a linear relationship between the two variables being plotted.
The scatterplot visually shows that as one variable increases or decreases, the other variable also increases or decreases in a proportional manner, following a straight-line pattern.
The correlation coefficient is an estimation of the strength and direction of the linear relationship between two variables. A positive correlation coefficient indicates that as one variable increases, the other variable also increases, while a negative correlation coefficient indicates that as one variable increases, the other decreases.
The magnitude of the coefficient implies the strength of the relationship, with a value of 1 showing a perfect positive correlation and a value of -1 showing a perfect negative correlation.
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--The given question is incomplete; the complete question is
"A student conducting a research study was told by her professor to use a scatterplot in conjunction with calculating the correlation coefficient. She discovered that the data points clustered along a straight line; this means that:
A. The student cannot determine if a relationship exists.
B. No relationship exists between variables.
C. A nonlinear relationship exists among the variables.
D. A linear relationship exists among the variables."--
The function f is defined by f(x)=x2e^−x2. At what values of x does f have a relative maximum?
A. -2
B. 0
C. 1 only
D. -1 and 1
Value of x for which defined function f(x) = x²e⁻ˣ² gives the relative maximum value is equal to option D. -1 or 1.
Function 'f' is defined by f(x) = x²e⁻ˣ²
To get the relative maximum value of the function f(x) = x²e⁻ˣ² find the first derivative we have,
f(x) = x²e⁻ˣ²
Apply product rule of derivative :
d/dx ( u × v ) = v du /dx + u dv /dx
f' ( x ) = e⁻ˣ² d/dx (x²) + x² d/dx (e⁻ˣ²)
⇒ f' (x) = 2x e⁻ˣ² - 2x (x² ) ( e⁻ˣ² )
⇒ f' (x) = 2x e⁻ˣ² - 2x³ e⁻ˣ²
⇒ f' (x) = 2x e⁻ˣ²( 1 - x² )
To get the value of x for maximum function f' (x ) = 0 we get,
2x e⁻ˣ²( 1 - x² ) = 0
⇒ 2≠0 or x =0 or e⁻ˣ² ≠ 0 or 1 - x² = 0
⇒ x = 0 or x = ± 1
When
x = 0 ⇒ f(x) = 0
x = 1 ⇒ f(x) = e⁻¹
x = -1 ⇒ f(x) = e⁻¹
x = -1 or 1 represents the relative maximum value of f(x).
Therefore , value of x which represents the relative maximum value of the function f(x) = x²e⁻ˣ² is equal to option D. -1 or 1.
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what is the slope of the function described by yx? the slope of the function is enter your response here. (enter your response as an integer or a decimal.)
The slope of the line AB by joining the coordinates x and y is equal to 2.
Let the coordinates of the points A and B to form a line AB by joining them are:
A ( x₁ , y₁ ) = A ( x₁ = 50 , y₁ = 30 )
B ( x₂ , y₂ ) = B ( x₂ = 60 , y₂ = 50 )
Slope of the line by joining two points is :
= ( y₂ - y₁ ) / ( x₂ - x₁ )
Substitute the value in the formula we get,
Slope of the line
= ( 50 - 30 ) / ( 60 - 50 )
= ( 20 ) / ( 10 )
= 2 / 1
= 2
Therefore, the slope of the function y and x for line AB by joining the coordinates of A and B is equal to 2.
The given question is incomplete, I answer the question in general according to my knowledge:
If the point is at A ( x = 50 , y = 30 ) and point B is at ( x = 60 , y = 50 ) , what is the slope of the function described by y and x for line AB?
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Solutions to Systems of Linear Equations
5x-3y+27=0 is the equation of the line passing between coordinates (-3,4) and (0,9).
What is equation?An algebraic equation, also known as a polynomial equation, is a mathematical equation of the form P=0, where P is a polynomial with coefficients in some field, most commonly the field of rational numbers. A mathematical statement that expresses the connection between two values is simply characterized as an equation. In an equation, the two values are usually equated by an equal sign. Linear equations are first-order equations. Lines in the coordinate system are determined by linear equations. A linear equation in one variable is defined as an equation with a homogeneous variable of degree 1 (i.e. only one variable). A linear equation can include several variables.
Here,
The point on the line is (-3,4) and (0,9).
m=(9-4)/(0+3)
m=5/3
y-4=5/3(x+3)
3y-12=5x+15
-5x+3y-27=0
5x-3y+27=0
The equation of the line that passes through coordinate (-3,4) and (0,9) is 5x-3y+27=0.
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noah draws this box plot for data that has measure of variability 0. explain why the box plot is complete even though there do not appear to be any boxes.
The box plot is complete because it displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum.
Due to the fact that it shows a five-number summary of a collection of data, the box plot is finished. Minimum, first quartile, median, third quartile, and maximum are the five numbers that make up the summary.
The boxplot visually displays the minimum, lower quartile, median, upper quartile, and maximum of five sample data. The plot's box is a rectangle with ends at each quartile, enclosing the middle half of the sample. The sample's interquartile range is therefore represented by the box's length. The box's second dimension does not specifically symbolize anything.
The sample median is used to draw a line through the box. From the box's two ends, whiskers grow until they reach the sample's maximum and minimum. The crossbar at each whisker's extreme end is optional, and its length has no significance. The next diagram compares a boxplot of the same data with a dot-plot of a sample of 20 observations (actual sample values used in the display).
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Determine the excluded values
The Excluded value of x/x-2 + x+y/x-1 = 3x/x-2 is x²- 5x+9 = 0.
The answers obtained after setting the denominator(s) equal to zero are the values that are excluded. The excluded values are the values for which a rational expression is undefined. These are values for which there is no known rational expression. Values that will round a fraction's denominator down to 0 are excluded. It's crucial to identify these excluded values while resolving a rational statement because you cannot divide by 0.
x/x-2 + x+y/x-1 = 3x/x-2
x(x-1) + (x+4)(x-2)/(x-2)(x-1) = 3x/x-2
x²-1+²(x²-2x)+(4x-8)/(x-2)(x-1) = 3x/x-2
x²-1+x²-2x+4x-8/(x-2)(x-1) = 3x/x-2
2x²+2x-9/x²-3x+2 = 3x/x-2
(x-2)(2x²+2x-9) = 3x(x-2)(x-1)
2x²+2x-9 = 3x²-3x
5x-9 = x²
x²-5x+9 = 0.
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PLS HELP MEEEE ILL GIVE BRAINLIEST
Answer:
2 [tex]\leq[/tex] x < 7
Step-by-step explanation:
-9 [tex]\geq[/tex] -3x - 3 > -24
Step 1: Add 3 to all sides; -6 [tex]\geq[/tex] -3x > -21
Step 2: Divide all sides by -3 (when we divide an inequality, we flip the inequality signs); 2 [tex]\leq[/tex] x < 7
in a normal distribution with a mean of 40 what percentage of the scores would be above the mean? group of answer choices 0% 25% 50% 40%
The correct answer is option c. 50%;
50% of scores in a normal distribution are above the mean.
A normal distribution is symmetrical, which means that the mean, median, and mode are all equal and that the percentage of scores below the mean is equal to the percentage of scores above the mean.
For a normal distribution with a mean of 40, exactly half of the scores (50%) will be above the mean, and the other half (50%) will be below the mean. This is true for any normal distribution, regardless of the standard deviation or any other characteristic of the distribution.
In a normal distribution, the data is symmetrically distributed around the mean. This means that if the mean is represented by a line, the same number of data points will be on either side of the line.
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a letter 25 cm long the foot of the ladder is 7 m away from the base of the wall how far up the wall is the top of the ladder
The distance far up the wall that the top of the ladder touches is 24 cm.
How far up the wall is the top of the ladder?Given that a the ladder is 25 cm long and the foot of the ladder is 7 m away from the base of the wall.
This forms a right triangle.
Hypotenuse = 25cmA leg = 7cmB leg = ?From Pythagoras theorem;
Hypotenuse² = A leg² + B leg²
Plug the given values in and solve for B leg
Hypotenuse² - A leg² = B leg²
B leg = √( Hypotenuse² - A leg² )
B leg = √( 25² - 7² )
B leg = √( 625 - 49 )
B leg = √576
B leg = 24 cm
Therefore, the height at which the top of the ladder sits on the wall is 24cm.
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Can anyone solve these problems?
The value of the equations are
a) A = ( x + 4 ) ( x - 4 )
b) B = ( x - 3 ) ( x² - 3x + 9 )
c) C = ( x + 6i ) ( x - 6i )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
A = x² - 16 be equation (1)
On simplifying the equation , we get
Taking the common factor of the equation , we get
A = ( x - 4 ) ( x + 4 )
On factorizing the equation , we get
A = ( x - 4 ) ( x + 4 )
b)
B = x³ + 27 be equation (2)
On simplifying the equation , we get
Taking the common factor of the equation , we get
B = ( x - 3 ) ( x² - 3x + 9 )
On factorizing the equation , we get
B = ( x - 3 ) ( x² - 3x + 9 )
c)
C = x² + 36 be equation (3)
On simplifying the equation , we get
Taking the common factor of the equation , we get
C = ( x + 6i ) ( x - 6i )
where i² = -1
On factorizing the equation , we get
C = ( x + 6i ) ( x - 6i )
Hence , the equations are solved
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Cuando luis nació , su padre tenia 25 años y cuando nació Ricardo el hijo de Luis,este tenia 20 años . Si actualmente la edad del abuelo es a la edad del nieto como 4 es a 1 . ¿hace cuantos años estas edades eran como 10 es a 1 ?M
Por lo tanto, hace 50 años que el Abuelo era 10 veces mayor que el Nieto.
Primero, definimos las edades en una ecuación.
Padre = 25
Hijo = 20
Abuelo = 4 × Nieto = 1
Para encontrar cuántos años han pasado desde que el Abuelo era 10 veces mayor que el Nieto, restamos 25-20=5 años desde que el Padre era 5 años mayor que el Hijo. Luego, multiplicamos esto por 10 para encontrar los años transcurridos desde que el Abuelo era 10 veces mayor que el Nieto. Entonces, 5 x 10 = 50 años. Por lo tanto, hace 50 años que el Abuelo era 10 veces mayor que el Nieto.
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▪ One day, eleven babies are born at a
hospital. Assuming each baby has an
equal chance of being a boy or girl, what
is the probability that at least two of the
eleven babies are girls?
The probability that at least two of the babies are girls is given as follows:
0.9941 = 99.41%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.As there are 11 babies, equally as likely to be a boy or a girl, the parameter values for this problem are given as follows:
p = 0.5, n = 11.
The probability that less than two are girls is:
P(X < 2) = P(X = 0) + P(X = 1).
In which:
P(X = 0) = 0.5^11 = 0.0005.P(X = 1) = 11 x 0.5^11 = 0.0054.Hence:
P(X < 2) = 0.0005 + 0.0054 = 0.0059.
Then the probability of at least two girls is of:
P(X >= 2) = 1 - P(X < 2)
P(X >= 2) = 1 - 0.0059
P(X >= 2) = 0.9941.
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Two high schools are planning their Senior trips to Washington DC. High School A rented 2 vans and 6 busses to carry all 366 seniors. High School B rented 5 vans and 4 busses to carry all 277 seniors. How many students can a van carry? . How many students can a bus carry?
Answer:
Van = 9
Bus = 58
Step-by-step explanation:
Based on the given,
School A = 2 Vans + 6 Busses = 366 Seniors
School B = 5 Vans + 4 Busses = 277 Seniors.
Question to answer:
How many students can a van carry?
How many students can a bus carry?
Solution:
Let's put it into equations.
Let,
x = Vans [x represent the number of Vans]
y = Busses [y represent the number of Busses]
School A equation: 2x + 6y = 366
School B equation: 5x + 4y = 277
Now since we have the equations we can start solving;
2x + 6y = 366
5x + 4y = 277
Let's use substitution method.
Substitution method is basically substitute one equation to the other one.
Before we do that we have to get y by itself.
Thus,
5x + 4y = 277
5x - 5x + 4y = 277 - 5x [Subtract 5x and put it to the other side]
4y = -5x + 277
4y/4 = -5x/4 + 277/4 [Divide all side by 4]
y = -5/4x + 69.25
Now substitute it in:
2x + 6(5/4x + 69.25) = 366
-11 = -99
x = 9
Now we know that x = 9, we can use top or bottom equation and substitute to find x.
Or we can also use;
y = -5/4x + 69.25
y = -5/4(9) + 69.25
y = 58.
As a result,
A van can carry 9 students and a bus can carry 58 students.
To check answer:
2x + 6y = 366
2(9) + 6(58) = 366
18 + 348 = 366
366 = 366
5x + 4y = 277
5(9) + 4(58) = 277
45 + 232 = 277
277 = 277
RevyBreeze
Shen made $115 for 5 hours of work.
At the same rate, how many hours would he have to work to make $207?
Answer:
It would take Shen 8.99999999802 hours to make $207.
Step-by-step explanation:
5/115 = 0.04347826086
207 x 0.04347826086 = 8.99999999802
What is perimeter in math?
Perimeter is the the continuous line defining a closed geometric figure.
What is perimeter in math?A closed route that covers, encircles, or outlines a one-dimensional length or a two-dimensional form is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are several uses in real life for perimeter calculations.
The complete length of a shape's border is referred to as the perimeter in geometry. A shape's perimeter is calculated by summing the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
The length of a shape's outline is its perimeter. You must sum the lengths of all four sides of a rectangle or square to determine its perimeter. In this instance, x denotes the rectangle's length and y its width.
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Please I NEED HELP !
function g can be thought of as translated (shifted) version of f(x) = x^2
wrote the equation for g(z)
g(x) =
Answer:
g(x) = x^2 -3
Step-by-step explanation:
a researcher is trying to discover the average age at death for people in the united states today. to obtain data, the obituary columns of the new york times are read for 30 days, and the ages at death of people in the united states are noted. do you think this approach will lead to a representative sample? explain why or why not.
No, this approach won't result in a representative sample because not all facets of society—especially the less advantaged ones—might have had their demises reported in the obituary column.
Given that a researcher is attempting to determine the average age of death for Americans, he is gathering data by keeping track of deaths' ages for a period of 30 days in the New York Times obituary columns. We now need to discuss whether this method will provide a representative sample.
No, this method won't produce a representative sample because not all parts of society, particularly the poorer ones, may have had their deaths recorded in the obituary column. As a result, the sample taken will not be a representative sample of the population, therefore this method cannot be used to forecast the average age.
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how to write the product of 3 and b in an equation
An equation of product form of 3 and b is, 3b
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
For example, 3x+2y=0.
Types of equation
1. Linear Equation
2. Quadratic Equation
3. Cubic Equation
Given that,
Two terms,
3
And b
by multiplying both the terms,
⇒ 3 × b
⇒ 3b
Hence, the product is 3b
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Hey I would really appreciate it if someone would help me with this math question!!
Option 1 : In value market the hot dogs is pack of 8 so we have purchased 12 pack
because, 96/8 =12
the cost of hot dogs is 12* $3.19 = $38.28
Option 2 : In Sammy's bulk store the hot dogs is pack of 12 so we have purchased 8 pack
because, 96/12 = 8
the cost of hot dogs is 8 * $4.49 = $35.92
Costs are the monetary worth of expenditures for supplies, services, labor, goods, equipment, and other commodities acquired for use by a firm or other accounting entity in accounting. It is the amount marked as the price on invoices and documented as an expenditure or asset cost basis in book keeping records. price is the amount or equivalent paid or charged for anything. The average cost of a college education has skyrocketed. : the outlay or expenditure (as of work or sacrifice) made to attain a goal.
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An electrician needs to cut a 49 m piece of wire into two pieces so that one piece is 5 m longer than the other piece. what is the length of the shorter piece of wire? enter your answer as a number only (no letters or symbols). do not include units. you may use desmos.
The length of the shorter piece of wire would be 22.
An electrician must divide a 49 m piece of wire into two sections, with the longer portion being 5 m longer than the shorter piece:
By using a simple Unitary Method We can solve this question
In order to calculate the required value using the unitary technique, multiply the value of one unit by the necessary number of units.
First wire - 27m
Second wire - 22m
27+22=49m
Also 27-22= 5
hence, s the length of the shorter piece of wire would be 22.
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X^2+x-6=0
Solve equation
Answer: look below :))
Step-by-step explanation: To solve the equation X^2+x-6=0, we can use the Quadratic Formula:
X = (-b ± √(b^2 - 4ac)) / 2a
where a = 1, b = 1, and c = -6.
Substituting these values into the formula, we get:
X = (-1 ± √(1 - 4(1)(-6))) / 2(1)
Which gives us:
X = (-1 ± √(1 + 24)) / 2
X = (-1 ± √25) / 2
So the solutions to the equation are:
X = ( -1 + √25) / 2 or X = (-1 - √25) / 2
X = ( -1 + 5) / 2 or X = (-1 - 5) / 2
X = 2 or X = -3
So the solutions of the equation X^2+x-6=0 are X = 2 and X = -3.
a cubic box is completely filled with 2650 g of water. what is the length of one side of the box, in meters?
The length of one side of the box, in meters, is 0.138 meters.
The density of water is approximately 1000 kg/m^3 or 1 g/cm^3. If a cubic box is filled with 2650 g of water, we can find the volume of the box and then find one side length.
Volume = Mass / Density = 2650 g/(1 g/cm^3) = 2650 cm^3
Since the box is cubic, one side length is the cube root of the volume.
Side length = (Volume)^(1/3) = (2650 cm^3)^(1/3) = 13.8 cm
To convert cm to meters, divide by 100:
Side length = 13.8 cm/100 cm/m = 0.138 m
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The model shows the expression 21 + 9.
A model with 3 rows of 7 squares and 3 rows of 3 squares.
Which expression is equivalent to this sum?
3 (7 + 3)
3 (7) + 3
3 + 7 + 3
7 (3 + 3) i need it now
Answer:
the first expression is equivalent to this sum
Step-by-step explanation:
3(7+3)
3×7+3×3
21+9
30
Prove: VUTS is a parallelogram.
(Write a paragraph proof. (4 points)
The paragraph proof to show that VUTS is a parallelogram is as shown below.
How to express Paragraph proof?Generally for parallelograms we know that;
A) If any one pair of opposite side is congruent and parallel, then the quadrilateral is parallelogram.
B) If two pair of opposite sides are parallel then it is a parallelogram.
Thus, the paragraph proof is as follows;
ΔSVX ≅ ΔUTX Given
SV // TU Given
SV ≅ TU Corresponding part of congruent triangle
VUTS parallelogram Definition of parallelogram.
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