Here are three statements explaining why each of the objects doesn't belong with the others:
The StatementsSphere:
A sphere is a three-dimensional object with a curved surface, while the other objects listed have flat or angled surfaces.A sphere has an equal diameter at every point, making it a true round object, while the other objects have varying shapes and angles.The volume of a sphere can be calculated using the formula 4/3 * π * r^3, which is different from the formulas used to calculate the volume of the other objects listed.Cylinder:
A cylinder has two flat circular bases, while the other objects listed do not have flat circular bases.A cylinder has a curved lateral surface, while the other objects listed have flat or angled lateral surfaces.The volume of a cylinder can be calculated using the formula π * r^2 * h, which is different from the formulas used to calculate the volume of the other objects listed.Pyramid:
A pyramid has a flat base and triangular sides that meet at a single point, while the other objects listed have different shaped bases and sides.A pyramid has no curved surfaces, while the other objects listed have curved surfaces.The volume of a pyramid can be calculated using the formula (B * h) / 3, where B is the area of the base and h is the height, which is different from the formulas used to calculate the volume of the other objects listed.Cube:
A cube has square faces and equal lengths on all sides, while the other objects listed do not have square faces and/or do not have equal lengths on all sides.A cube has right angles between all faces, while the other objects listed do not have right angles between all faces.The volume of a cube can be calculated using the formula s^3, where s is the length of a side, which is different from the formulas used to calculate the volume of the other objects listed.Read more about squares here:
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please help me with this.
Following are the values of the functions -
1) f(a) = 8a - 4
2) f(a+h) = 8a+ 8h - 4
3)[tex]\frac{f (a+h)-(a) }{h}= 8[/tex]
Describe function.An expression or relationship with one or more variables is called a function. Both its inputs and outputs are numerous. There is just one output per input. The function explains how the inputs and outputs are related.
To evaluate f(a), we simply substitute the value of "a" into the function:
1) f(a) = 8a - 4
To evaluate f(a+h), we substitute the value of "a+h" into the function:
2) f(a+h) = 8(a+h) - 4
f(a+h) = 8a+ 8h-4
To find the expression for [tex]\frac{f (a+h)-(a) }{h}[/tex], we divide the result by h: L(a+h)-f(a) h we can subtract f(a) from f(a+h) and then
3) [tex]\frac{f (a+h)-(a) }{h}[/tex]
[tex]= \frac{ (8a+8h-4-(8a-4)}{h} \\= \frac{8h}{h}= 8[/tex]
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Plot the points (-7,5),(-4,-6),(-1,4),(-7,3) in the Cartesian plane. Is the following relation a function? Why?
The graph of the points can be seen at the end, and the relation is not a function.
How to graph the points on a coordinate axis?
The coordinate axis has two axis with numbers labeled. For any point (x, y), you need to find the value x on the horizontal axis and the value y on the vertical axis.
Then the graph of the points (-7,5), (-4,-6), (-1,4), (-7,3) will be like the one at the end of the answer.
Now, is this a function?
Not, it is not, because we can see that the input -7 is being mapped into two different outputs, and a relation is a function only if each input is mapped into a single output.
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What is the y-intercept of the line perpendicular to the line y = 3/4x + 3 that includes the point (3, 1)?
Answer:
Step-by-step explanation:
perp.: -4/3
y - 1 = -4/3(x - 3)
y - 1 = -4/3x + 4
y = -4/3x + 5
y-int: (0, 5)
18. What percentage of R90 is 90c?
The percentage of R90 that will give 90c is 4%
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
1 cent = R0.04
R1 = 1/0.04
R 90 = 90/0.04 = 2,250c
x/100 × 2250 = 90
2250x = 9000
x = 9000/2250
x= 4%
therefore 4 percent of R 90 is 90c
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when does the circle intersect the y axis
Answer:
i thinks its A im not for sure but give some money if its wrong fam bc im nice like that
Step-by-step explanation:
help please!!!!!!!!!!
Answer:
5x(8-1)=(5x10)-(5x4)
Let X,X2, ...,X25 denote 25 random draws (with replacement) from the following list of 5 numbers: 0, 1,0,0,0. What is E(X)?
(a) 0.875
(b) 1/3
(c) 0.5
(d) 2.0
As per the probability, the value of E(X) is option (a) 0.8
In statistics, the expected value or mean is a measure of central tendency that represents the average outcome of a random variable over an infinite number of trials.
To find the expected value of X, we need to calculate the probability of each possible outcome and multiply it by its corresponding value. In this case, the possible outcomes are 0 and 1, and their probabilities can be calculated as follows:
The probability of drawing a 0 is 4/5 because there are 4 zeros in the list and 5 total numbers.
The probability of drawing a 1 is 1/5 because there is only one 1 in the list and 5 total numbers.
Using these probabilities, we can calculate the expected value of X as follows:
E(X) = (0 x 1/5) + (1 x 4/5)
The first term in this equation represents the probability of drawing a 0, multiplied by its value (which is 0), and the second term represents the probability of drawing a 1, multiplied by its value (which is 1). Simplifying this equation gives:
E(X) = 4/5 =0.8
Therefore, the answer to this problem is (a) 0.8, since the expected value of X is 0.8 of the possible outcomes.
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the height is determined by a function F (x)9x2+3x-5 then the height was determined by the function P(x)=6x2-2x+3,write the function that determines the height of the water i a pool if booth hoses are on the same time.
Answer:
Q(x) = 15x^2 + x - 2.
Step-by-step explanation:
To find the height of the water in a pool when both hoses are on, we need to add the values of the two functions, F(x) and P(x), at a given x value. The new function, Q(x), that determines the height of the water in the pool can be expressed as follows:
Q(x) = F(x) + P(x) = 9x^2 + 3x - 5 + 6x^2 - 2x + 3 = 15x^2 + x - 2
So the height of the water in the pool is determined by the function Q(x) = 15x^2 + x - 2.
The frequency diagram shows the heights of students in a class.
a) How many students were over 145 cm?
b) How many students had a height
between 125 cm and 140 cm?
c) How many students were in the class?
a.) The number of students that are over 145cm = 13
b.) The number of students with the height between 125 cm and 140 cm = 21 students.
C.) The number of students that were in class = 37
What is a frequency table?A frequency table is defined as a statistical tool that is used to organize the data given so that it makes it more meaningful and easier to understand.
To calculate the number of students that are over 145cm = 8+4+1 = 13 students.
To calculate the number of students that had a height
between 125 cm and 140 cm = 2+5+6+8 = 21 students.
To calculate the number of students that were in class= 3+2+5+6+8+8+4+1 = 37 students.
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what does x+y=mb mean
Answer: The equation "x + y = mb" represents a linear equation in two variables, x and y. In this equation, m is a constant and b is another constant or a known value. The equation states that the sum of x and y is equal to the product of m and b.
This equation can be used to model a variety of real-world situations where two quantities are related and their sum is equal to a constant value. For example, it could represent the amount of money saved by two people, where x and y are the savings of the two people and mb is the total amount of money saved.
To solve for x and y, we can use either substitution or elimination method, or any other method for solving systems of linear equations. The values of x and y that satisfy the equation "x + y = mb" are called the solutions of the equation.
Step-by-step explanation:
Question 3 of 5
Solve 3x + 6 = 21.
A. x=7
B. x=5
C. x=8
D. x=9
Answer:
B. x=5
Step-by-step explanation:
3x + 6 = 21
Subtract 6 from both sides.
3x = 15
Divide both sides by 3.
x = 5
Answer: B. X=5
Step-by-step explanation:
3x+6=21
subtract 6 on both sides
3x=15
divide by 3 on both sides
x=5
Mr. Mosley ordered pizzas for the volunteers at Highland School's fundraiser event. He ordered 12 large pizzas from the Roman Rounds pizzeria. Since this was a bulk order, Roman Rounds reduced the price of each large pizza by $2. The total came to $192. Which equation can you use to find the amount of money, p, Roman Rounds normally charges for a large pizza?
Roman Rounds normally charges $18 for a large pizza.
What is the equation in one variable?
An equation in one variable is a mathematical statement that uses one variable and an equal sign to relate two expressions. The variable in the equation represents an unknown value, and the goal is often to find the value of the variable that makes the equation true.
Let's use p to represent the normal price of each large pizza charged by Roman Rounds.
Since the price of each pizza was reduced by $2 for the bulk order, the amount Mr. Mosley paid for 12 large pizzas is:
12(p - 2) = $192
We can simplify this equation by first distributing the 12 on the left side:
12p - 24 = $192
Then, we can isolate the variable p on one side of the equation by adding 24 to both sides:
12p = $216
Finally, we can solve for p by dividing both sides by 12:
p = $18
Therefore, Roman Rounds normally charges $18 for a large pizza.
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what is the mean of 79g, 88g, 116g, 109g, 93g
To find the mean (average) of a set of numbers, you add up all the numbers and then divide by the number of items in the set.
Mean = (79g + 88g + 116g + 109g + 93g) / 5
Mean = (475g) / 5
Mean = 95g
So, the mean of the set of numbers is 95g.
The value of mean of the data set is,
⇒ Mean = 97 g
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
Data set is,
79g, 88g, 116g, 109g, 93g
Now, We get;
The mean of data set is,
⇒ Mean = 79g + 88g + 116g + 109g + 93g / 5
⇒ Mean = 485g / 5
⇒ Mean = 97 g
Thus, The value of mean of the data set is,
⇒ Mean = 97 g
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Rui is a professional deep water free diver. His altitude (in meters relative to sea level), x xx seconds after diving, is modeled by: d ( x ) = 1 2 x 2 − 10 x d(x)= 2 1 x 2 −10xd, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 2, end fraction, x, squared, minus, 10, x How many seconds after diving will Rui reach his lowest altitude?
Answer: look at the image for the answer and explanation
Step-by-step explanation:
How Many Solutions Does The Equations y=-2x+1 and y=3x-1
Answer:
It has a Unique solution.
Step-by-step explanation:
The equations are:
y=-2x+1 and y=3x-1
subtracting equation 2 from equation 3
we get,
⇒-5x+2=0
⇒5x=2
⇒x=2/5
substitute x in equation 1, then we get
⇒y=-4/5+1
⇒y=1/5
Hence the equations have a Unique solution.
Which expressions are equivalent to the given complex number?
45 + 2i
C
(13 + 4i) + (32 - 6i)
000
(13 + 4i) + 2(7 + 2i)(2 -i)
(2 - 8i) + 2(9 + 6i)(1 - i)
4i) + (36
2i)
(2 + 8i) + (30 - 6i)
0 (9 + 4i) + 2(4 + 7i)(1 - 2i)
The equivalent expressions of 45 + 2i are (13 + 4i) + (32 - 6i) and (9 + 4i) + 2(4 + 7i)(1 - 2i)
How to determine the equivalent expressionsFrom the question, we have the following parameters that can be used in our computation:
Complex number: 45 + 2i
Next, we test the options:
(13 + 4i) + (32 - 6i) = 13 + 4i + 32 - 6i
(13 + 4i) + (32 - 6i) = 45 - 2i --- true
(13 + 4i) + 2(7 + 2i)(2 -i) = (13 + 4i) + 2(14 - 7i + 4i - 2)
(13 + 4i) + 2(7 + 2i)(2 -i) = 13 + 4i + 28 - 14i + 8i - 4
(13 + 4i) + 2(7 + 2i)(2 -i) = 37 - 2i --- false
(2 + 8i) + (30 - 6i) = 2 + 8i + 30 - 6i
(2 + 8i) + (30 - 6i) = 32 + 2i--- false
(9 + 4i) + 2(4 + 7i)(1 - 2i) = (9 + 4i) + 2(4 - 8i + 7i + 14)
(9 + 4i) + 2(4 + 7i)(1 - 2i) = 9 + 4i + 8 - 16i + 14i + 28
(9 + 4i) + 2(4 + 7i)(1 - 2i) = 45+ 2i --- true
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Question 2 of 25
What is the slope of the line containing (-1, 5) and (2,-4)
The slope of the line containing (-1, 5) and (2, -4) will be negative 3.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The points are (-1, 5) and (2, -4). Then the slope of the line is given as,
m = (5 + 4) / (- 1 - 2)
m = 9 / (-3)
m = - 3
The slope of the line containing (-1, 5) and (2, -4) will be negative 3.
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Complete the following proof.
Given: WXYZ is a parallelogram with diagonals XZ and WY intersecting at point V.
Prove: XZ bisects WY
The proof of the parallelogram has been given below
How to prove that X bisects WYWe have WXYZ as a parallelogram.
XW = ZY
XW // ZY
such that
M ∠VXW = M VZY (This is alternate interior angles,)
M∠VWX = M ∠VYZ
therefore ΔVXW ≅ Δvzy
wv = yv
Then XZ bisects WY
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Marvin was 1.55m tall a year ago. now,he is 1.62m tall. find the percentage increase in Marvin's height correct to 2 decimal places
The percentage increase in Marvin's height is 4.51%
How to calculate the percentage increase in Marvin's height?
Marvin was 1.55m tall a year ago
Now her present height is 1.62m
The first step is to calculate the increase
= 1.62-1.55
= 0.07
The percentage increase can be calculated as follows
0.07/1.55 × 100
= 0.0451 × 100
= 4.51
Hence the percentage increase is 4.51%
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Which of the following statements proves the series 250 – 150 + 90 – 54 + … is geometric?
r equals five thirds
r equals three fifths
r equals negative three fifths
The given series is geometric when r equals negative three-fifths.
What is geometric series?
The geometric series refers to the total of terms with a common ratio between every pair of neighbouring terms. Geometric series can be of two different types: finite and infinite. The sequence is of the form {a, ar, ar², ar³, …….} where, a is the first term, and r is the "common ratio".
where, r = ar/a = (second term)/(first term)
Given, the series 250 – 150 + 90 – 54 + …
So, r = (-150)/250 = -3/5
or, r = 90/(-150) = -3/5
Hence, for the geometric series, r should be equal to negative three-fifths.
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parallelagram abcd has the angle measures shown
Answer:
Theres nothing shown
Step-by-step explanation:
What are the coordinates of R′ for the dilation D(0. 5, P)(PQRS)?
Answer:
the coordinate of the R' after the dilation is (-1,-0.5)
Step-by-step explanation:
Below is a square based pyramid. Calculate the length of side I
The slant height of the square base pyramid is calculated as l = 17 using the Pythagoras rule.
What is the Pythagoras ruleThe Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
we can observe the right triangle with hypotenuse l, height = 15, and base = 8 {half the pyramid base of 16}
the slant height is calculated as follows:
l² = 15² + 8²
l² = 225 + 64
l² = 289
l = √289 {take square root of both sides}
l = 17.
Therefore, the slant height of the square base pyramid is calculated as l = 17 using the Pythagoras rule.
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find an ordered pair (x,y) that is a solution to the equation -x+6y=2
Explanation:
Let's replace y with 0 and solve for x.
-x+6y = 2
-x+6*0 = 2
-x + 0 = 2
-x = 2
x = -2
We have x = -2 pair up with y = 0 to get the ordered pair (x,y) = (-2,0)
This is the x intercept of the graph. It's where the line crosses the x axis. You can use a tool like Desmos or GeoGebra to confirm.
Since we have infinitely many numbers to replace x or y with, we have infinitely many solution points on this line.
Each point is of the form (-2+6k, k) where k is any real number. If k = 0, then it leads to (-2,0) found earlier.
Need help answering this question
Answer:
24 people
Step-by-step explanation:
German : 4 + (4/2) = 6
Norwegian : 4 + 4 + (4/2) = 10
Italian : 4 + 4 = 8
Add them all :
6 + 10 + 8 = 24
Q. On Fridays at the ballpark, a cup of soda costs $4, and each refill costs $0.80. If x represents the number of refills, which of the following equations represents the amount a person spends on soda?
A. y = 0.8x + 4.8
B. y = 4x + 4.8
C. y = 4x + 0.8
D. y = 0.8x + 4
Answer:
The correct answer is D.
Step-by-step explanation:
D. y = 0.8x + 4.
If a1 = 2 and an = -2an-1 + 3 then find the value of a5.
The value of the fifth term B is 17.
What is a sequence?An ordered list of things is a sequence (or events). Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of ordered items (potentially infinite).
Given:
The first term of the sequence is 2.
a₁ = 2
And the explicit formula of the sequence,
aₙ = (-2)aₙ₋₁ + 3.
The value of a₂:
a₂ = (-2)a₁+ 3.
a₂ = -2(2) + 3 = -1
And a₃ = -2(-1) + 3 =5
a₄ = -2(5) + 3 = -7
Now, the value of the fifth term,
a₅ = -2(-7) + 3 = 17.
Therefore, the fifth term is 17.
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Yoshi swam across a lake but did not know how far he swam. He found that it was 100sqrt(3) feet from point A to point C. Angle C was a right angle and angle A was 30°.
Find the distance he swam across the lake.
Hint: hypotenuse = 2shortleg )
The length of the lake is 100 ft
Finding the length of the lake:Form a right-angled triangle according to the given data in the problem. Chose which trigonometric ratio can be used to find the side that is considered as the side of the lake.
From the trigonometric ratio table,
Tan 30 = 1/√3Here we have
Yoshi swam across a lake but did not know how far he swam.
He found that it was 100√) feet from point A to point C.
Angle C was a right angle and angle A is 30°.
We represent the given scenario in the form of a right angle triangle as shown in the picture.
Let 'B' be the point where Yoshi swam started and BC be the length of the lake.
From the triangle,
Tan A = BC/AC
From the given data,
Tan 30° = BC/100√3
=> BC = Tan 30°(100√3)
=> BC = (1/√3)(100√3)
=> BC = 100 ft
Therefore,
The length of the lake is 100 ft
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All numbers less than 17 and greater than or equal to -8. into SET BUILDER NOTATION!!
Answer:
The set of all numbers less than 17 and greater than or equal to -8 can be expressed in set builder notation as:
{x | -8 <= x < 17}
Step-by-step explanation:
Set builder notation is a way of expressing a set of elements in mathematical terms. The syntax of set builder notation is {x | <condition>}, where x represents an element in the set and the condition specifies the properties that the element must satisfy to be included in the set.
In this case, the set consists of all numbers less than 17 and greater than or equal to -8. The condition for the set is -8 <= x < 17, where x is a real number. This means that x must be greater than or equal to -8 and less than 17 in order to be included in the set.
Therefore, the set of all numbers less than 17 and greater than or equal to -8 can be expressed in set builder notation as:
{x | -8 <= x < 17}.
What is a common denominator of 1 2 / 3 and 3 / 4? Please answer.
Answer:
The answer is that 1 2/3 and 3/4 common denominate is /12
Step-by-step explanation:
3 x 4 equals 12 then multiply 2 by 4 and 3 by 3 then it’s 1 8/12 and 9/12