La ecuación de la recta es y = 1.2x + 0, o simplemente y = 1.2x. Y el precio en euros de 10 dólares es de 12 €.
La ecuación de la recta que nos da el precio en euros, y, de x dólares se puede hallar utilizando la fórmula de la pendiente de una recta, que es m = (y2 - y1) / (x2 - x1). En este caso, los puntos dados son (3, 3.6) y (7, 8.4).
Primero, calculamos la pendiente de la recta:
m = (8.4 - 3.6) / (7 - 3)
m = 4.8 / 4
m = 1.2
Luego, utilizamos la fórmula de la ecuación de la recta, y = mx + b, para encontrar el valor de b. Podemos utilizar cualquiera de los puntos dados para esto. Usaremos el punto (3, 3.6).
3.6 = 1.2(3) + b
3.6 = 3.6 + b
b = 0
Por lo tanto, la ecuación de la recta es y = 1.2x + 0, o simplemente y = 1.2x.
Esta ecuación nos da el precio en euros, y, de x dólares. Si queremos encontrar el precio en euros de una cierta cantidad de dólares, simplemente sustituimos el valor de x en la ecuación y resolvemos para y. Por ejemplo, si queremos encontrar el precio en euros de 10 dólares, sustituimos x = 10 en la ecuación:
y = 1.2(10) = 12
Por lo tanto, el precio en euros de 10 dólares es de 12 €.
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A cook needs 38 kilograms of beans for a recipe. He has 2 bags of beans that are 7 kilograms each. How many more kilograms of beans does he need? Explain how you found your answer
The cook still needs 24 kilograms of beans to complete the recipe. The cook has a total of 2 bags of beans, each containing 7 kilograms of beans.
Therefore, the total weight of the beans he has is 2 * 7 = 14 kilograms.
To find out how many more kilograms of beans he needs, we can subtract the weight of the beans he has from the total amount he needs. Therefore:
Amount of beans the cook needs - Amount of beans the cook has = Amount of beans he still needs
Substituting the values we get:
38 - 14 = 24
Therefore, the cook still needs 24 kilograms of beans to complete the recipe.
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The measure of an angle is 175. 5°. What is the measure of its supplementary angle?
If we have an angle equal to 175.5°, then its supplementary angle is equal to 4.5°.
To solve this problem we must know that an angle and its supplementary add up to 180º, that is, the following equality must be satisfied:
β + α = 180º
The measure of a supplementary angle is the difference between 180° and the given angle. In this case, the given angle is 175.5°. To find the measure of the supplementary angle, we will subtract 175.5° from 180°.
α = 180° - 175.5° = 4.5°
Therefore, the measure of the supplementary angle is 4.5°.
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write an expression that represent dived 0.04 by n
The expression that refers the operation "0.04 divided by n" is written as 0.04/n
An expression is a mathematical statement that contains operators, variables, and constants.
In this case, we want to write an expression that will represent the division of 0.04 by n.
The expression for this would be 0.04/n, where n is the number being divided by 0.04.
This expression shows that when 0.04 is divided by n, the result is 0.04 divided by n.
The expression can be used to calculate the result of any division problem involving 0.04 and n
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how to convert 2.4m to feet?
2.4 meter is approximately equal to 7.8740 feet ( rounded to four decimal places )
To convert 2.4 meter to feet, we can use the following formula:
1 meter = 3.28084 feet
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
Therefore,
The length in feet = conversion factor × The length in meter
Substitute the values in the equation
2.4 m = 3.28084 × 2.4
Multiply the numbers
= 7.8740 feet ( rounded to four decimal places )
Therefore, 2.4 m is 7.8740 feet.
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In 1-3, find the diagonal distance between each given pair of points to the nearest tenth. 1. 2. 3. 10 298765 4 3 A 321 2 4 00110 8 B S 67 8 9 10 -5-4-3-2-1 5 4 -3 2- -1- -1 N -2- 1 2 3 4 5 -3 4 & -5 B 10 9 8 7 6 5 4 32 1 A B 8 9 10
Answer:
1. 10.0 2. 10.2 3. 10.5 The diagonal distance between these two points is 298,766.5.
Step-by-step explanation:
1. Find the vertical distance between the two points, which is (10 - 3) = 7.
2. Find the horizontal distance between the two points, which is (298765 - 4) = 298760.
3. Use the Pythagorean Theorem to find the diagonal distance between the two points, which is the square root of (7^2 + 298760^2) = 298,766.5.
dont understand this sorry please help
The range of the following graph is [-2, 3]
What is Range?In mathematics, the range of a function is the set of all possible output values (also called the codomain) that the function can produce for its input values. The range is a subset of the codomain, and it describes the vertical extent of the function's graph. The range can be finite or infinite, and it can contain repeating values or be a continuous interval.
The values of y coordinate depicts the values of range
So, the range of the following graph is [-2, 3]
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Rashon bought a pair of sunglasses online for $34. He used a coupon code to get a 30% discount. The website also applied a 20% processing fee to the price after the discount. How much was the processing fee? Round to the nearest cent.
Answer:
$4.80
Step-by-step explanation:
The processing fee was 20% of the price after the discount, which would be 20% of $34 minus 30%, or 20% of $23.80. This is equal to $4.76, which rounded to the nearest cent is $4.80.
Which of the following people is/are legally required to file a tax return?
Amanda, who can be claimed as a dependent and earned $850 last year,
Greg, who can be claimed as a dependent and earned $12,650 last year.
Jason, who cannot be claimed as a dependent and earned $1,500
lEst earo cannot be claimed as a dependent and carned $1,000
last year.
Greg and Jason are the people who are legally required to file a tax return.
What is Tax?An amount of money that a government requires people to pay according to their income
Amanda, who can be claimed as a dependent and earned $850 last year, is not required to file a tax return.
The minimum income requirement for filing taxes for dependents is $1,100 for 2022.
Greg, who can be claimed as a dependent and earned $12,650 last year, is required to file a tax return if his earned income (such as wages or salary) exceeds $12,400 in 2022.
However, if his earned income is less than $12,400 but he had any taxes withheld, he may want to file a tax return in order to claim a refund.
Jason, who cannot be claimed as a dependent and earned $1,500 last year, is required to file a tax return if his gross income exceeds $12,950 in 2022.
Lester, who cannot be claimed as a dependent and earned $1,000 last year, is not required to file a tax return.
The minimum income requirement for filing taxes for single taxpayers under age 65 is $12,950 for 2022.
Hence, Greg and Jason are the people who are legally required to file a tax return.
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Kristen used 3 1/4 cups of flour per batch of cookies. If Kristen made 5 batches of cookies, how much flour did she use?
Answer:
5 × 3.25 (3 1/4)=16.25 (16 1/4)
Step-by-step explanation:
If each batch requires 3 1/4 cups, and she bakes it repeatedly 5 times, then you multiply 3 1/4 by 5 to get 16 1/4.
The answer is 16 1/4 cups of flour she will use.
Answer:
To find out how much flour Kristen used in total, we can start by multiplying the amount of flour per batch by the number of batches.
First, we need to convert the mixed number 3 1/4 to an improper fraction, which is 13/4.
So, the amount of flour per batch is 13/4 cups.
To find out how much flour Kristen used in total for 5 batches of cookies, we can multiply the amount of flour per batch by the number of batches:
13/4 cups per batch x 5 batches = 65/4 cups
We can simplify this fraction by dividing both the numerator and denominator by 5, which gives us:
65/4 ÷ 5/1 = 13/4 ÷ 1/1 = 13/4 cups
Therefore, Kristen used 13 and 1/4 cups of flour in total for 5 batches of cookies.
Malcolm is reading a history book. It takes him 12 minutes to read 5 pages. At that rate, how many pages can Malcolm read in 1 hour?
Answer: Malcolm can read 25 pages in 1 hour if he maintains the same reading speed.
Step-by-step explanation:
First, let's calculate how many pages Malcolm can read in 1 minute:
5 pages / 12 minutes = 0.4167 pages per minute (rounded to four decimal places)
To find out how many pages Malcolm can read in 1 hour, we need to multiply the number of pages he can read in 1 minute by the number of minutes in an hour:
0.4167 pages per minute * 60 minutes per hour = 25 pages per hour (rounded to the nearest whole number)
Therefore, Malcolm can read 25 pages in 1 hour if he maintains the same reading speed.
why is 31 a prime number ?
The number 31 is divisible by one and itself, which is the sign of prime number and hence 31 is a prime number.
As per the definition, a number to become prime number must follow two conditions. These are:
It should be greater than one. It should not be a product of two numbersIn other words, point 2 can be understood as it should not be divisible by any number. It remains the number to be divisible by one and itself.
We can see that 31 is the number which can be divided by any number to leave zero remainder. Hence, 31 is a prime number. Apart from this, 41, 97 and many other numbers are examples of prime number.
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when computing the correlation coefficient, what is the effect of changing the order of the variables on r?
Changing the order of the variables when computing the correlation coefficient has no effect on the value of "r" as it measures the strength and direction of the linear relationship between two variables.
The correlation coefficient denoted as "r", measures the energy and path of the linear dating between two variables. It ranges from -1 to one, in which -1 shows a perfect negative correlation, 0 indicates no correlation, and 1 shows an ideal advantageous correlation.
Whilst computing the correlation coefficient, the order of the variables does not have an effect on the cost of "r". This means that whether we calculate the correlation between variable x and variable y, or variable y and variable x, the resulting correlation coefficient will be equal.
That is due to the fact the correlation coefficient measures the degree of linear association between two variables, no matter which variable is taken into consideration because of the explanatory variable and which one is taken into consideration because of the response variable.
Therefore, the correlation between x and y could be similar to the correlation between y and x. But, it's important to observe that the translation of the correlation coefficient may additionally range depending on the research query and the context wherein it's far used.
The course of the connection among variables may also have one-of-a-kind implications relying on the specific state of affairs being analyzed.
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I need answers for these 2 questions. Thank you!
The value of ∫[1/(x² - 25)^3/2]dx when x = 5 secθ using integral by substitution, the answer is (1/2)[(x/5)^2 - 1]^-1/2 + C
What is the value of the integrationTo solve this problem, we simply need to use integration by substitution.
∫[1/(x² - 25)^3/2]dx when x = 5 secθ
We can start by making the substitution x = 5 secθ, which implies that dx/dθ = 5 secθ tanθ.
Substituting these expressions into the integral, we get:
∫[1/(x² - 25)^3/2]dx = ∫[1/(25sec²θ - 25)^3/2] (5 secθ tanθ)dθ
Simplifying the denominator inside the integral:
25sec²θ - 25 = 25(sec²θ - 1) = 25tan²θ
Substituting this back into the integral:
∫[1/(25tan²θ)^3/2] (5 secθ tanθ)dθ = ∫(5/125)tanθ/cos³θ dθ = ∫tanθ/cos³θ dθ
We can simplify this using the substitution u = cosθ, which implies that du/dθ = -sinθ and, therefore, -du = sinθdθ.
Substituting these expressions back into the integral, we get:
∫tanθ/cos³θ dθ = -∫(1/u³) du = u^-2/2 + C
Substituting back u = cosθ, we get:
u^-2/2 + C = cos^-2θ/2 + C
Therefore, the final answer in terms of x is:
cos^-2θ/2 + C = (1/2)[(x/5)^2 - 1]^-1/2 + C
Since the solution is not in the option, the answer is none of these
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Calculate the amount that will be in the bank after 5 years if R4 700 is invested at 5% simple interest
Answer:
R4700×5% = 235
total: R4700+235 = 4935
invest:R235 per month or year
Step-by-step explanation:
interest simple is increase your amount to addition increase from rate 5%
I use format a calculate that answer
Una clínica realiza un análisis de colesterol en hombres mayores a 60 años, y luego de varios años de investigación, concluye que la distribución de lecturas sigue una distribución normal, con media de 225mg/dl y una desviación estándar de 20mg/dl.
a) ¿Qué porcentaje de esta población tienen lecturas mayores a 245mg/dl de colesterol?
b) ¿Qué porcentaje tiene lecturas inferiores a 195,25mg/dl?
(1/512)^1/3
I know the answer is 1/8 but how do I get to that?
Answer:
See explanation below
Answer is 1/8
Step-by-step explanation:
The expression is:
[tex]\left(\dfrac{1}{512}\right)^{\dfrac{1}{3}}[/tex]
A number x raised to the power [tex]\dfrac{1}{3}[/tex] means it is the cube root of that number or [tex]\mbox{\large \sqrt[3]{x} }[/tex]
Also [tex]\left(\dfrac{1}{x}\right)^a = \dfrac{(1)^a}{x^a}[/tex]
Combining these two facts we get
[tex]\left(\dfrac{1}{512}\right)^{\frac{1}{3}} = \dfrac{1^{\frac{1}{3}}}{512^\frac{1}{3}}= \dfrac{\sqrt[3]{1} }{\sqrt[3]{512} } = \dfrac{1}{\sqrt[3]{512} }[/tex]
[tex]\sqrt[3]{512} = 8[/tex]
So
[tex]\left(\dfrac{1}{512}\right)^{\dfrac{1}{3}} = \dfrac{1}{8}[/tex]
I NEED HELP ASAP THIS IS MISSING PLESSE HELP ME RN YOU WILL GET BRAINLIEST
[tex]{\qquad \qquad \huge \rm \underline { \underline{ Répondre}}}[/tex]
Standard equation of an ellipse is :
[tex]\qquad \rm\dashrightarrow \: \dfrac{ {(x - h)}^{2} }{ {a}^{2} } + \dfrac{ {(y - k)}^{2} }{ {b}^{2} } = 1[/tex]
If b is smaller than a, then it will be a horizontal ellipse, and if b is greater than a, it will be a vertical ellipse. and shifting depends upon coordinates of its centre.
Now, our given equation is :
[tex]\qquad \rm\dashrightarrow \: \dfrac{ {x}^{2} }{ 15 } + \dfrac{ {y }^{2} }{ {10} } = 1[/tex]
[tex]\qquad \rm\dashrightarrow \: \dfrac{ {x}^{2} }{ {(\sqrt{15})}^{2} } + \dfrac{ {y}^{2} }{ {(\sqrt{10}) {}^{2} } } = 1[/tex]
[ here, b = root 10 and a = root 15, hence a is greater than b here, which means : its a horizontal ellipse.
And since it is a horizontal ellipse with center at origin, it's major axis will lie on x - axis.
how many different triangles can you make if you are given the measurement for two angles and the length of a shared side?
We know that Angle-side-angle is one of the criterias to find congruent triangles, then with the given information we can make only one unique triangle.
How many different triangles can you make with the given values?Here we know two of the angles of a triangles and the length of the side between these two angles.
This can be written as an: Angle-Side-Angle.
Remember that this is one of the conditions for congruent triangles.
This means that A-S-A defines completely a single triangle, thus, there is only one triangle that we can make with that information.
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What is the probability of flipping 2 coins and having them land on heads and 2 dice and having each land on 1?
What is Angle angle between two vectors calculator?
Angle between two vectors calculator is a vector calculator tool for finding the angle between two vectors in 2D or 3D space.
The vector calculator is a tool that can be used to find the angle between two vectors in a 2D or 3D space. Given two vectors, the calculator uses a formula to determine the angle between them, which is expressed in degrees or radians.
θ = [tex]cos^-^1(\frac{a.b}{|a||b|})[/tex]
where,
a and b are the two vectors
θ is the angle between them
|a| and |b| are the vectors' respective magnitudes.
This calculator can be used for various applications in physics, engineering, and mathematics, where finding the angle is important.
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Complete the table that represents viable solutions for y=20x , where x is the number of hours software runs and y is the number of read-only documents converted into editable documents by the software.
Answer: 1i think 13213123123121232
Step-by-step explanation:first go home eat sleeo theyn wake up
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Evaluate the expression for j = –2.
10lj| − 12 =
Answer:
8
Step-by-step explanation:
To evaluate the expression for j = -2, we simply substitute -2 for j and simplify:
10l(-2)l - 12 = 10 * |-2| - 12 (Note that the absolute value of -2 is 2)
= 10 * 2 - 12
= 20 - 12
= 8
Therefore, the value of the expression 10lj| − 12 when j = -2 is 8.
n is an integer and -2 write down all the possible values of n
Answer: If N is an integer and -2, then the possible values of N are:
N = -2
In other words, the only possible value of N is -2, since the problem statement states that N is equal to -2.
Step-by-step explanation:
let f(x)=-2x+6 describe the transformation from the graph of f to the graphs of g(x)=f(x)-1 and h(x)=f(x-4).
To summarize, the transformations from f(x) to g(x) and h(x) can be described as follows:
g(x) = f(x) - 1: a vertical shift downward by 1 unit
h(x) = f(x - 4): a horizontal shift to the right by 4 units
What did we do?
Starting with the function f(x) = -2x + 6, let's consider the transformations to the functions g(x) = f(x) - 1 and h(x) = f(x - 4).
For g(x) = f(x) - 1, we can see that the function is shifted downward by 1 unit from f(x). This means that every y-value of f(x) will be decreased by 1 to obtain the corresponding y-value of g(x). Therefore, the graph of g(x) will be the same as the graph of f(x), but shifted down by 1 unit.
For h(x) = f(x - 4), we can see that the function is shifted to the right by 4 units from f(x). This means that the input to f(x) will be increased by 4 to obtain the corresponding input to h(x). Therefore, the graph of h(x) will be the same as the graph of f(x), but shifted to the right by 4 units.
To summarize, the transformations from f(x) to g(x) and h(x) can be described as follows:
g(x) = f(x) - 1: a vertical shift downward by 1 unit
h(x) = f(x - 4): a horizontal shift to the right by 4 units
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What does the number of times a number is to be multiplied by itself?
The number of times a number is multiplied by itself is known as the power or exponent. To calculate the power of a number, we use the exponent formula [tex]n^{p}[/tex] = n × n × n × ... × n, where n is the base number and p is the exponent. For example,[tex]4^{2}[/tex] = 16 and [tex]4^{3}[/tex]= 64.
The number of times a number is multiplied by itself is known as the power or exponent. For example, let's say we have the number 4. If we want to calculate 4 to the power of 2 ([tex]4^{2}[/tex]), we are essentially multiplying the number 4 by itself twice. This is written as 4 multiplied by 4, which is equal to 16. In mathematical notation, the calculation is written as [tex]4^{2}[/tex] = 16.To calculate the power of a number, we can use the exponent formula: [tex]n^{p}[/tex] = n × n × n × ... × n
where n is the base number and p is the exponent. For example, if we want to calculate[tex]4^{3}[/tex] (4 to the power of 3), we would write the formula as 4 × 4 × 4 = 64. The corresponding mathematical notation is [tex]4^{3}[/tex] = 64.
In summary, the number of times a number is multiplied by itself is known as the power or exponent. To calculate the power of a number, we use the exponent formula [tex]n^{p}[/tex] = n × n × n × ... × n, where n is the base number and p is the exponent. For example,[tex]4^{2}[/tex] = 16 and [tex]4^{3}[/tex]= 64.
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In the independent measures t-test, what is assumed by the homogeneity of variance assumption?
a. The two samples have equal variances.
b. The two sample variances are not equal.
c. The two populations have equal variances.
d. The two population variances are not equal.
The homogeneity of variance assumption in the independent measures t-test assumes that option (c) the variances of the two populations from which the samples are drawn are equal.
In mathematical terms, the t-test assumes that the two populations from which the samples are drawn have equal variances. The homogeneity of variance assumption is important because it affects the calculation of the t-statistic.
When the variances of the two populations are equal, the t-test uses a pooled estimate of the variance to calculate the standard error of the difference between the two sample means.
If the homogeneity of variance assumption is violated, meaning the variances of the two populations are not equal, the t-test may produce inaccurate results.
In this case, an alternative test such as Welch's t-test may be used. Welch's t-test does not assume equal variances and is therefore more robust when the homogeneity of variance assumption is violated.
Therefore, the right choice is option (c).
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How many hours does Diego need to work to earn the same amount of money that Mia earns for working 6 hours
Diego would have to put in 15 hours of labor to make the same amount of money as Mia does in just 6.
what is unitary method ?The unit method is a technique of challenge where you first measure the value of a specific unit, then multiply a certain value to get the answer. Simply expressed, a minimum unit value is extracted from with a specified multiple using the unit method. For contrast, 40 pens will cost you about 400 rupees, or $1.01. The method used to execute this might be standardized. a solitary nation. anything seems to have a distinctive component. (Mathematics, Algebra) Its capable of integrating and opposite are equivalent. (Molecular Algebra, Quantitative Analysis, Math and science of Matrix or Operators)
given
Diego need to work
105/7
=15$ per hour
150/15
=10$ per hour
Diego would have to put in 15 hours of labor to make the same amount of money as Mia does in just 6.
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In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Adrian sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
93 visitors purchased no costume.
210 visitors purchased exactly one costume.
7 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase more than one costume as a fraction in simplest form.
As a result, the probability that the next individual would buy more than one costume is 7/310, which can already be stated as a fraction in its most basic form.
What is fraction?A fraction is a way of representing a part of a whole or a ratio between two quantities. It is written as two numbers, one above the other, with a horizontal line separating them. The number above the line is called the numerator and the number below the line is called the denominator. For example, the fraction 3/4 represents three parts out of four equal parts, or the ratio of three to four. Fractions can be used to represent a wide range of values, including numbers between whole numbers (such as 1/2 or 3/5), ratios between quantities (such as 2/3 cups of flour to 1 cup of sugar), and percentages (such as 75/100, which is equivalent to 75%, or three-quarters). Fractions are an important concept in mathematics and are used in many different contexts, such as in cooking, measurement, and finance.
Here,
Out of the 93 visitors who did not purchase a costume, we do not have any information on how many of them might purchase more than one costume. So, we will ignore them for the purposes of this calculation.
Out of the 210 visitors who purchased exactly one costume, none of them purchased more than one costume.
Out of the 7 visitors who purchased more than one costume, we do not know how many costumes they actually purchased, but we do know that they purchased at least two.
So, out of a total of 93 + 210 + 7 = 310 visitors, we know that 7 purchased more than one costume, and we do not have any information on how many of the remaining 303 visitors might purchase more than one costume.
Therefore, the probability that the next person will purchase more than one costume is 7/310, which is already expressed as a fraction in simplest form.
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Selena's class is painting a mural on the wall of her school. The mural is a square with an area of
100 square feet.
What is the height of the mural?
The mural has a height equal to 10 feet.
What is the height of a mural?
In this problem we find the case of a square mural, whose area is already known. The following conditions associated with the statement of the problem are described below:
A = 100 ft²
A = l²
Where:
A - Area of the mural, in square feet.l - Side length of the mural, in feet.Then, the height of the mural is equal to:
100 ft² = l²
l = 10 ft
The height of the mural is 10 feet.
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A rectangular prism has a length of 8 meters, a width of 6 meters, and a height of 3 meters.
Which equations could be used to determine the volume, V, of the prism?
Select each correct answer.
Responses
V = 8 × 9
V, = 8 × 9
V = 48 × 3
V, = 48 × 3
V = 8 × 6 × 3
V, = 8 × 6 × 3
V = 8 × 6 × 6
The correct answer will be V =8×6×3 & V= 48×3. The volume of a rectangular prism = Length x Width x Height.
Volume explain: What is it?Volume is the quantity of space a thing occupies, whereas capacity is a measure of the substance it can store, such as a solid, a liquid, or a gas. Although capacity can be measured in virtually any other unit, such as litres, gallons, pounds, etc., volume is determined in cubic units.
What do capacity and volume mean?Capacity. The total volume of space an object occupies in three dimensions is indicated by its volume. The term "capacity" describes something's ability to contain, absorb, or absorb by an object (such as a solid substance, gas, or liquid).
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