Answer:
The mean is 4.5
Step-by-step explanation:
u add the numbers and divide by how many numbers there are
0.0042 × 0.03
2222222÷45553926549
Answer:
0
Step-by-step explanation:
what is the image of (-4,-2) after a reflecton over the line y= -x
The image of (-4, -2) after a reflection over the line y = -x is (2, -4).
What is a transformation?In Mathematics, a transformation can be defined as the movement of a point from its original (initial) position to a final (new) location. This ultimately implies that, when an object is transformed, all of its points would be transformed as well.
The types of transformation.Generally, there are different types of transformation and these include the following:
ReflectionRotationTranslationDilationWhat is a reflection?A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
In Geometry, a reflection over the y-axis is given by this rule (x, y) → (-x, y). Thus, line y = -x would become:
(-4, 2) → (2, -4).
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Colin is training for a triathlon and needs to swim a certain distance for today's workout. If he swims at the rec center pool, he will complete a 264-yard warmup and then swim laps in a lane that is 34 yards long. If Colin swims at the indoor pool at his gym, he will complete a 120-yard warmup, plus a main set that consists of 35 yards per lap. If Colin swims the correct number of laps, he can complete the same distance in either pool. How long will Colin's workout be in total? How many laps will that take?
Answer:
Jason is training for a triathlon and needs to swim a certain distance for ... If he swims at the rec center pool, he will complete a 200-yard warmup and then swim laps in a lane that is 20 yards long. If Jason swims at the indoor pool at his gym, he will complete a ... How long will Jason's workout be in total? 1.
Step-by-step explanation:
According to Weber's law, two items must differ in weight by ______ percent of weight in order to detect a difference.
A. 5%
B. 10%
C. 20%
D. 50%
According to Weber's law, two items must differ in weight by "5 percent"of weight in order to detect a difference.
We are given that Weber's law
For weight discrimination, Weber’s law states that the JND is proportional to the weight of the stimulus.
The JND is defined as the smallest difference between two weights that can be detected by an observer.
The proportionality constant is known as Weber’s fraction and varies depending on the type of stimulus and the sensory modality involved.
For weight discrimination, Weber’s fraction is typically around 2-3%.
This means that two items must differ in weight by approximately 2-3% of their weight in order to detect a difference.
The difference of weight in percent is 5%, the correct option is A.
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A triangle,ABC , has angle measures of 40, 40, 100 and and exactly two congruent (equal) sides. How would this triangle be classified?
Answer:
Step-by-step explanation:
Isosceles Obtuse.
It is obtuse because the largest angle is over 90.
It is Isosceles because the two base angles are equal.
If you get it wrong, it is because the question assumes that the two base angles are acute (which they are) but for this question I think you are referring to the lone angle at the top.
A bicycle manufacturer is studying the reliability of one of its models. The study finds that the probability of a brake defect is 4 percent and the probability of both a brake defect and a chain defect is 1 percent. If the probability of a defect with the brakes or the chain is 6 percent, what is the probability of a chain defect? 1. 5 percent 2 percent 2. 5 percent 3 percent.
The bicycle manufacturer is studying the reliability of its models and analyzing the probability of defects. They found the probability of a brake defect is 4 percent and the probability of both brake and chain defects is 1 percent.
Given that the probability of a defect with brakes or chain is 6 percent, we can find the probability of a chain defect using the formula: P(A and B) = P(A|B) * P(B), where P(A and B) is the probability of both events A and B occurring, P(A|B) is the probability of event A occurring given that event B has occurred, and P(B) is the probability of event B occurring.
In this case, we want to find the probability of a chain defect given that there is a defect with either the brakes or the chain. Let's use the events: A = brake defect, B = chain defect, From the problem statement, we know that: P(A) = 0.04 (probability of a brake defect), P(A and B) = 0.01 (probability of both a brake defect and a chain defect)
P(A or B) = 0.06 (probability of a defect with the brakes or the chain).
To find P(B|A or B), we can use the formula: P(B|A or B) = P(A and B) / P(A or B) = 0.01 / 0.06, = 1/6, = 0.1667, So the probability of a chain defect given that there is a defect with either the brakes or the chain is 16.67%, or approximately 2/12 or 1/6.
Therefore, the correct answer is option 2: 2%, Solving for the probability of a chain defect, we get: P(chain defect) = 0.06 - 0.04 + 0.01 = 0.03, So, the probability of a chain defect is 3 percent.
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Find the measure of the tangent line, x. Round to the nearest tenth.
Answer:
x=13.7
Step-by-step explanation:
CD=CB=6
AC=AD+CD => AC=9+6 => AC=15
AC^2= AB^2 + BC^2 => 15^2 = X^2 + 6^2 => 225 = X^2 + 36 => X^2 = 225 - 36 => X^2 = 189 => X=13.7
The value of x or measure of the tangent line is 13.7 units
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We have to find the value of x
CD=CB =6 units
CA=CD+DA
CA=9+6
=15 units
By pythagoras theorem
6²+x²=15²
36+x²=225
x²=225-36
x²=189
x=13.7=14
Hence, the value of x or measure of the tangent line is 13.7 units
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Perform the following operations. (4.703+(4.05×10−2))/(1.2×10−2)= 4.06×10−3 4.0×10−2 8.2073×102 4.743 4.0×102 Question 9 Perform the following operations. (3.25×10−4)/(8.012×10−2)−(2.000×10−2)=−1.59×10−4−1.6×10−2−1.59×10−2−1.594×10−2−1.594358×10−2
The result of the operation is -1.594×10⁻²).
How do we perform the given operation: (3.25×10⁻⁴)/(8.012×10⁻²)−(2.000×10⁻²)?To solve the given expression, we start by dividing 3.25×10⁻⁴ by 8.012×10⁻²). This can be done by dividing the coefficients (3.25 ÷ 8.012) and subtracting the exponents (10⁻⁴ ÷ 10⁻²).
The division of the coefficients gives us 0.4047, and subtracting the exponents gives us 10 (-4-(-2)) = 10⁻² = 0.01. Therefore, the division of the two numbers results in 0.4047 × 0.01 = 0.004047.
Next, we subtract 2.000×10⁻² from the result obtained above. This is done by subtracting the coefficients (0.004047 - 2.000) and keeping the same exponent (-2).
Performing the subtraction gives us -1.995953, and the common exponent remains -2. Therefore, the final result is -1.995953 × 10⁻² = -1.594×10⁻².
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The work that Ryan did to find the greatest common factor of 48 and 72 is shown below.
Prime factorization of 48: 2 x 2 x 2 x 2 x 3
Prime factorization of 72: 2 x 2 x 2 x 3 x 3
The greatest common factor is 2 ´ 2 ´ 2 ´ 3 x 3
What is Ryan’s error?
Answer:
there will only be one 3
Step-by-step explanation:
see cause the first 3 of both numbers are 2 but only the last one of both numbers are 3 .
A rectangles's lenght is twice its width and the perimeter of the rectangle is \(24\sqrt{3} - 6\sqrt{2}\) units. What is the area of the rectangle?
A. \(100-16\sqrt{6}\)
B.\(400-64\sqrt{6}\)
C. \(92-16\sqrt{6}\)
D. \(368-64\sqrt{6}\)
The area of the rectangle whose length is twice its width, having a perimeter of 24√3 - 6√2 is 100 - 16√6.
What is the area of the rectangle?The perimeter and area of a rectangle are expressed as;
Perimeter = 2( length + Width )
Area = Length × Width
Let the width be represented by 'x'.
Width = xLength = 2xPerimeter = 24√3 - 6√2Area = ?Plug the given values in the formula above and solve for x.
Perimeter = 2( length + Width )
24√3 - 6√2 = 2( 2x + x)
24√3 - 6√2 = 2( 3x )
24√3 - 6√2 = 6x
6x = 24√3 - 6√2
x = ( 24√3 - 6√2 ) / 6
x = 4√3 - √2
Hence;
Width = x = 4√3 - √2
Length = 2x = 2(4√3 - √2) = 8√3 - 2√2
Now, we determine the area;
Area = Length × Width
Area = (8√3 - 2√2) × (4√3 - √2)
Expand using FOIL Method
Area = 8√3(4√3) + 8√3(-√2) - 2√2(4√3) - 2√2(-√2)
Area = 100 - 16√6
Therefore, the area is 100 - 16√6.
Option A) 100 - 16√6 is the correct answer.
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pllllllllllllllllllllleasee one guys i neeed ur help one
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
Let's solve ~
Calculate discriminant :
\(\qquad \sf \dashrightarrow \: 3 {x}^{2} + 6x - 1\)
a = 3b = 6c = 1\(\qquad \sf \dashrightarrow \: discriminant = {b}^{2} - 4ac\)
\(\qquad \sf \dashrightarrow \: d = (6) {}^{2} - (4 \times 3 \times 1)\)
\(\qquad \sf \dashrightarrow \: d = 36 - 12\)
\(\qquad \sf \dashrightarrow \: d = 24\)
\(\qquad \sf \dashrightarrow \: \sqrt {d} = 2 \sqrt{6} \)
Now, let's calculate it's roots ( x - intercepts )
\(\qquad \sf \dashrightarrow \: x = \cfrac{ - b \pm \sqrt{d} }{2a} \)
\(\qquad \sf \dashrightarrow \: x = \cfrac{ - 6\pm 2 \sqrt{6} }{2 \times 3} \)
\(\qquad \sf \dashrightarrow \: x = \cfrac{ - 6\pm 2 \sqrt{6} }{6} \)
So, the intercepts are :
\(\qquad \sf \dashrightarrow \: x = \cfrac{ - 6 - 2 \sqrt{6} }{6} \)
and
\(\qquad \sf \dashrightarrow \: x = \cfrac{ - 6 + 2 \sqrt{6} }{6} \)
Answer:
\(\left( \dfrac{ -3 + 2\sqrt{3}}{ 3}, \ 0\right), \ \left(\dfrac{ -3 - 2\sqrt{3}}{ 3}, \ 0\right)\)
Explanation:
Given expression:
f(x) = 3x² + 6x - 1
To find x intercepts, set f(x) = 0Use quadratic formula:
\(\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ where \ ax^2 + bx + c = 0\)
Here after finding coefficients:
a = 3, b = 6, c = -1Applying formula:
\(x = \dfrac{ -6 \pm \sqrt{6^2 - 4(3)(-1)}}{2(3)}\)
\(x = \dfrac{ -6 \pm \sqrt{48}}{6}\)
\(x = \dfrac{ -6 \pm 4\sqrt{3}}{6}\)
\(x = \dfrac{ -6 \pm 4\sqrt{3}}{2 \cdot 3}\)
\(x = \dfrac{ -3 \pm 2\sqrt{3}}{ 3}\)
\(x = \dfrac{ -3 + 2\sqrt{3}}{ 3}, \ \dfrac{ -3 - 2\sqrt{3}}{ 3}\)
6% means a ratio of rise and run is 6/100 what is the angle of inclination
Answer: 3/50
Step-by-step explanation: 6/100 reduced is 3/50.
Once a month, volunteers from the Green Sea Club clean up litter at the beach. Last month, the volunteers picked up 8 pounds of trash in 4 hours. This month, the same group of volunteers will spend 3 hours picking up trash.
If they pick up trash at the same rate, how many pounds of trash should the volunteers pick up this month?
Answer:
Step-by-step explanation:
8 pounds.... 4hours
x pounds.... 3 hours
x=3 ×8 :4
x=24 :4
x=6 pounds of trash
The number of pounds of trash should the volunteers pick up this month is 6.
Calculation of the number of pounds:Since Last month, the volunteers picked up 8 pounds of trash in 4 hours. This month, the same group of volunteers will spend 3 hours picking up trash.
So here we can do
x=3 ×8 :4
x=24 :4
x=6
Hence, The number of pounds of trash should the volunteers pick up this month is 6.
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darius says that 1/4 is a division expression and is not a quotient. Badru says that 1/4 is a division expression and is also the quotetient of 1 / 4. who is correct
On solving the provided question we can say that 1/4 means , 1 divides 4, so it its a division not expression.
what is expression ?In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.
here,
darius says that 1/4 is a division expression
Badru says that 1/4 is a division
1/4 means , 1 divides 4, so it its a division not expression
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The ideal weight (in stones) of people of varying heights is given in the table below. Draw a scatter plot for the data. Height (feet/inches) 5 ft 0” 5 ft 1” 5 ft 2” 5 ft 3” 5 ft 4” 5 ft 5” Weight (stones) 9.1 9.5 9.8 10 10.4 10.8 a. A graph has height on the x-axis, and weight on the y-axis, from 9 to 10.8 in increments of 0.2. Points are at (5, 9.1), (5 foot 1 inch, 9.5), (5 foot 2 inches, 9.8), (5 foot 3 inches, 10), (5 foot 4 inches, 10.4), (5 foot 5 inches, 10.8). c. A graph has height on the x-axis, and weight on the y-axis, from 9 to 10.8 in increments of 0.2. Points are at (5, 9.2), (5 foot 1 inch, 9.5), (5 foot 2 inches, 9.8), (5 foot 3 inches, 10), (5 foot 4 inches, 10.3), (5 foot 5 inches, 10.8). b. A graph has height on the x-axis, and weight on the y-axis, from 9 to 10.8 in increments of 0.2. Points are at (5, 9.5), (5 foot 1 inch, 9.8), (5 foot 2 inches, 10), (5 foot 3 inches, 10), (5 foot 4 inches, 10.4), (5 foot 5 inches, 10.8). d. A graph has height on the x-axis, and weight on the y-axis, from 9 to 10.8 in increments of 0.2. Points are at (5, 9), (5 foot 1 inch, 9.5), (5 foot 1 inch, 9.8), (5 foot 3 inches, 10), (5 foot 4 inches, 10.4), (5 foot 5 inches, 10.8). Please select the best answer from the choices provided
The scatter plot for the data will be A. A graph has height on the x-axis, and weight on the y-axis, from 9 to 10.8 in increments of 0.2. Points are at (5, 9.1), (5 foot 1 inch, 9.5), (5 foot 2 inches, 9.8), (5 foot 3 inches, 10), (5 foot 4 inches, 10.4), (5 foot 5 inches, 10.8).
What is a scatter plot?A scatter plot is a set of points plotted on horizontal and vertical axes that show the extent of correlation between the variables.
In this case, the scatter plot for the data will be a graph has height on the x-axis, and weight on the y-axis, from 9 to 10.8 in increments of 0.2. Points are at (5, 9.1), (5 foot 1 inch, 9.5), (5 foot 2 inches, 9.8), (5 foot 3 inches, 10), (5 foot 4 inches, 10.4), (5 foot 5 inches, 10.8).
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Type the correct answer in each box.
5
4
2
1
-4
-3
-2
1
2
3
4
5
- 1
-2
-3
-5
The equation of the line in the graph is y=
U
Answer:
-1x - 1
Step-by-step explanation:
the factor of x is the slope of the line in the form of y/x.
it simply says how many units y changes for a given change of x.
in our diagram we can see that when x changes one unit to the right (positive), y changes 1 unit down (negative).
so, the slope or factor of x = -1/1 = -1
and when x=0, y=-1.
so, the constant offset in the line equation is -1 too.
so, it is
y = -x - 1
or as explicit factor for x
y = -1×x - 1
use technology to find the multiple regression model. assume that x1 corresponds to 1/sq ft and x2 corresponds to parking/sq ft.
To find the multiple regression model, you can use statistical software like R or Python with packages such as statsmodels, scikit-learn, or MATLAB.
Collect the dataset: Gather the data for the independent variables (x1 and x2) and the dependent variable (y) for each observation.Prepare the data: Organize the dataset into a structured format, typically in a tabular form such as a spreadsheet or a CSV file. Each row represents an observation, and the columns correspond to the variables (x1, x2, and y).Choose the regression model: Decide on the type of multiple regression model you want to use. Common choices include ordinary least squares (OLS), ridge regression, or LASSO regression. The choice depends on the specific characteristics of your data and the goals of your analysis.Perform the regression analysis: Use the selected statistical software or library to fit the regression model to your dataset.Evaluate the model: Examine the results of the regression analysis, including the coefficients, p-values, R-squared value, and other relevant statistics.Interpret the results: Based on the coefficients and statistics obtained from the regression analysis, you can interpret the relationships between the independent variables and the dependent variable.The actual implementation may vary depending on the specific software or programming language you are using.
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What is x pls and than you
Answer:
2
Step-by-step explanation:
5x - 10 = 0
+10 +10
5x = 10
/5 /5
x = 2
Answer:
x=2
you divide 10 by 5=10/5=2
Step-by-step explanation:
Here are recipes for two different banana cakes. Information for the first recipe is shown in the table. 1st Recipe: y = 1.5x 2nd Recipe: y = 7/4x If you used 4 cups of sugar, how much flour does each recipe need?
Answer:
d. First: 6 cups, Second: 7 cupsStep-by-step explanation:
Answer choices:If you used 4 cups of sugar, how much flour does each recipe need? a. First: 2 cups, Second: 8 cups b. First: 7 cups, second: 6 cups c. First: 4 cups, second: 2 cups d. First: 6 cups, Second: 7 cupsSolutionUsing the formulas to find the amount of flour needed:
1. y = 1.5x = 1.5*4 = 6 cups2. y = 7/4x = 7/4*4 = 7 cupsCorrect choice is d.
What is the surface area of the cylinder?
226.08 cm²
678.24 cm²
1,356.48 cm²
452.16 cm²
Answer:
452.16
Step-by-step explanation:
i got it right on test
The surface area of the cylinder is,
⇒ TSA = 452.16 cm²
We have to given that;
Height of cylinder = 6 cm
And, Diameter of cylinder = 12 cm
Hence, We get;
⇒ Radius of cylinder = 12 / 2 = 6 cm
We know that;
The formula for the total surface area of a given cylinder whose radius is r and height is h is,
TSA = 2πr (h + r)
Hence, We get;
TSA = 2πr (h + r)
TSA = 2 × 3.14 × 6 (6 + 6)
TSA = 37.68 × 12
TSA = 452.16 cm²
Thus, The surface area of the cylinder is,
⇒ TSA = 452.16 cm²
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You are considering renting a car from two different rental companies. Proxy car rental company charges .32 per mile plus an 18 surcharge. YourPal rental company charges .36 per mile plus a 12 surcharge.
c. Which company offers the better deal for an 820 -mile trip?
150 is the cost of renting a car from YourPal.
What is surface area of cuboid ?
The six rectangular faces of a cuboid. Add the areas of each of the cuboid's six faces to determine its surface area.Additionally, we can label the prism's length (l), width (w), and height (h), and then calculate its surface area using the formula SA=2lw+2lh+2hw.Let y = total charge for a car rental and x = miles drivenProxy car equation: y = 0.32x + 18
YourPal equation: y = 0.36x + 12
Set equations right sides equal to each other... meaning their cost, y, are equal
0.32x + 18 = 0.36x + 12
18 = 0.04x + 12 (subtract 0.32x from both sides of the equation)
6 = 0.04x (subtract 12 from both sides of the equation)
150 = x (divide both sides of the equation by 0.04)
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Gloria forgot to account for two walkways. Using the work from Plan A,
subtract the two walkways to find the new perimeter. The width of each
walkways is x + ½ .
Show work here (put in simplest form)
Step-by-step explanation:
w
find the point on the hyperbola xy=8 that is closest to the point (3 0)
To find the point on the hyperbola xy = 8 that is closest to the point (3, 0), we can use the distance formula. The distance between two points (x1, y1) and (x2, y2) is given by the formula:
Distance = √[(x2 - x1)² + (y2 - y1)²]
Let's denote the coordinates of the point on the hyperbola as (x, y). Substituting the given coordinates (3, 0) and the equation of the hyperbola xy = 8 into the distance formula, we get:
Distance = √[(x - 3)² + (y - 0)²]
Now, we need to minimize this distance. Since the distance is squared, we can minimize the square of the distance, which is:
Distance² = (x - 3)² + y²
To minimize this expression, we can take its derivative with respect to x and y and set them equal to zero. Let's differentiate Distance² with respect to x and y:
d(Distance²)/dx = 2(x - 3)
d(Distance²)/dy = 2y
Setting these derivatives equal to zero, we have:
2(x - 3) = 0 => x = 3
2y = 0 => y = 0
Therefore, the point on the hyperbola xy = 8 that is closest to the point (3, 0) is (3, 0).
Note that the distance from (3, 0) to any point on the hyperbola xy = 8 is always the same, which means the hyperbola is equidistant from the point (3, 0).
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please answer and explain the link below
Thanks for the points hope you'll understand
nine less than 15 times a number is 6 write as a equation
Let the number = x
You have 15 times the number so that is 15x
9 less would be subtracting 9:
15x -9
Is 6 means the equation equals 6:
The equation is: 15x-9 = 6
Multisets, or bags, can be represented as list of pairs (x,n) where n indicates the number of occurrences of x in the multiset. type Bag a=[(a,Int)] For the following exercises you can assume the following properties of the bag representation. But note: Your function definitions have to maintain these properties for any multiset they produce! (1) Each element x occurs in at most one pair in the list. (2) Each element that occurs in a pair has a positive counter. As an example consider the multiset {2,3,3,5,7,7,7,8}, which has the following representation (among others). [(5,1),(7,3),(2,1),(3,2),(8,1)] Note that the order of elements is not fixed. In particular, we cannot assume that the elements are sorted. Thus, the above list representation is just one example of several possible. d) Define a function subbag that determines whether or not its first argument bag is contained in the second. subbag :: Eq a ⇒ Bag a → Bag a → Bool Note that a bag b is contained in a bag b.
if every element that occurs n times in b occurs also at least n times in b
We're using `count` as a helper function to count the number of times the first bag appears in the second.
Multisets, also known as bags, can be represented as a list of pairs (x,n) in which n indicates the number of times x appears in the multiset.
Type bag `a=[(a,Int)]` is a set of this kind.
In the following activities, the bag representation's following characteristics can be considered.
However, your function definitions must maintain these characteristics for any multiset they create! 1.
In the list, each component x appears in at most one pair.
2. Each element that occurs in a pair has a positive counter.
A bag contains a bag b if every element that appears n times in b appears at least n times in
b. This function can be defined as follows:
```subbag:: Eq a => Bag a -> Bag a -> Boolsubbag [] _ = Truesubbag _ [] = Falsesubbag ((a,n):xs) b = if (n > count a b) then False else subbag xs b
where count a [] = 0count a ((b,m):ys) = if (a==b) then m else count a ys```Note:
Here, `subbag` is a recursive function that takes two bags as its input and returns a Boolean value indicating whether or not the first bag is included in the second.
We're using `count` as a helper function to count the number of times the first bag appears in the second.
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the pairs of figures that have the same volume. 3-D shape of a cone is represented. The cone has a radius of 4 units and a height of 12 units. 3-D shape of a rectangular prism is represented. The rectangular prism has a length of 18 units, a width of 6 units, a height of 6 units. 3-D shape of a rectangular prism is represented. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units. 3-D shape of a cylinder is represented. The cylinder has a radius of 3 units and a height of 8 units. 3-D shape of a cone is represented. The cone has a radius of 8 units and a height of 9 units. 3-D shape of a rectangular prism is represented. The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units. arrowBoth 3-D shape of a cylinder is represented. The cylinder has a radius of 4 units and a height of 12 units. arrowBoth 3-D shape of a cone is represented. The cone has a radius of 6 units and a height of 6 units. arrowBoth Reset Next © 2023 Edmentum. All rights reserved.
The pair of figures having same volume are:
a. The cylinder has a radius of 3 units and a height of 8 units ; The cone has a radius of 6 units and a height of 6 units.
b. The cone has a radius of 8 units and a height of 9 units ; The cylinder has a radius of 4 units and a height of 12 units.
c. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units ; The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.
What is volume of a figure?
Volume is a unit of measurement for three-dimensional space. It is usually stated quantitatively in terms of a number of imperial or US-standard units as well as SI-derived units.
i. The cone has a radius of 4 units and a height of 12 units.
⇒ Volume = π\(r^{2} \frac{h}{3}\)
⇒ Volume = π\(4^{2} \frac{12}{3}\)
⇒ Volume = 64 π
⇒ Volume = 201 cubic units
ii. The rectangular prism has a length of 18 units, a width of 6 units, a height of 6 units.
⇒ Volume = length * width * height
⇒ Volume = 18 * 6 * 6
⇒ Volume = 648 cubic units
iii. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units.
⇒ Volume = length * width * height
⇒ Volume = 16 * 6 * 6
⇒ Volume = 576 cubic units
iv. The cylinder has a radius of 3 units and a height of 8 units.
⇒ Volume = π\(r^{2}\)h
⇒ Volume = π\(3^{2}\) * 8
⇒ Volume = 72 π
⇒ Volume = 226 cubic units
v. The cone has a radius of 8 units and a height of 9 units.
⇒ Volume = π\(r^{2} \frac{h}{3}\)
⇒ Volume = π\(8^{2} \frac{9}{3}\)
⇒ Volume = 192 π
⇒ Volume = 603 cubic units
vi. The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.
⇒ Volume = length * width * height
⇒ Volume = 8 * 8 * 9
⇒ Volume = 576 cubic units
vii. The cylinder has a radius of 4 units and a height of 12 units.
⇒ Volume = π\(r^{2}\)h
⇒ Volume = π\(4^{2}\) * 12
⇒ Volume = 192 π
⇒ Volume = 603 cubic units
viii. The cone has a radius of 6 units and a height of 6 units.
⇒ Volume = π\(r^{2} \frac{h}{3}\)
⇒ Volume = π\(6^{2} \frac{6}{3}\)
⇒ Volume = 72 π
⇒ Volume = 226 cubic units
Hence, three pairs have the same volume.
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The missing figures have been attached below.
Find the mistake. *
9 + 4 x 3 + 2
13x3 +2
39+2
: 41
Answer:
The first on is incorrect. If you use PEMDAS, (parenthases, exponents, multiplication, division, addition, and subtraction)
Step-by-step explanation:
The first one is 23.
What is the quotient? cally 5^6/5^3
answers
1/5^9
1/5^2
5^2
5^9
please answer fast
Today : Monday, 03rd May 2021
07.41 PM
Answer:
5³
Step-by-step explanation:
\( \tt \orange{\frac{5^{6} }{ {5}^{3} } }\)
\( \green {= \tt {5}^{6 - 3} }\)
\( \blue{ \tt = {5}^{3} }\)
\(\pink{ \boxed{ \tt study \: with: {\pink{ \boxed{{\tt \colorbox {pink}{✿ \:aulia \: ✿}}}}}}}\)
Suppose you borrowed $45,000 at a rate of 8.5% and must repay it in 5 equal installments at the end of each of the next 5 years. By how much would you reduce the amount you owe in the first year? Select the correct answer. a. $7,594.46 b. $7,600.46 c. $7,618.46 d. $7,612.46 e. $7,606.46
The correct answer is option a. $7,594.46.
To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:
Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate
In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.
Let's calculate the amount you would reduce the amount you owe in the first year:
Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825
Installment = $12,825
Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.
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