The only sort of proof among the following options in the question that is frequently employed in geometry is the 'two-column' proof.
What is geometry?Geometry is the area of mathematics that deals with the characteristics of space and the shapes of particular things as well as the interactions between them in space.
A two-column geometric proof consists of a list of assertions and the justifications for each one's truth.
The statements are listed in a left-hand column, while the justifications for the statements are listed in a right-hand column.
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In a survey of 500 tourists, 350 like Pokhara, 200 like Chitwan and number of tourist who like both is half of who like Chitwan and 20 like neither of two, using Venn-diagram find how many like only one place.
Answer:
160 tourists like only one place. This can be determined by using a Venn diagram. Of the 500 tourists surveyed, 350 like Pokhara, 200 like Chitwan, and 50 like both places. That leaves 20 who like neither of the two places. To get the number of tourists that like only one place, subtract the number of tourists who like both (50) and the number of tourists who like neither (20) from the total number of tourists surveyed (500), resulting in a total of 160 tourists who like only one place.
42:29
The function(x) - 3. 25x represents the total amount
collected from cars at one toll booth based on the number of
cars that pass through, x. The mathematical domain for the
function is the set of real numbers,
How does the reasonable domain differ from the
mathematical domain?
The reasonable domain is the set of natural numbers
The reasonable domain is the set of positive real
numbers
The reasonable domain is the set of real numbers greater
than 3. 25
The reasonable domain is the set of whole numbers
greater than 3,25
The function is the relation between number of cars and toll collected in the toll booth. So the correct option is that the reasonable domain is a set of natural numbers.
While considering a function regarding to mathematical domain, for f(x) = 3.25x, x can be any values between -∞ to +∞. For every x value, we could calculate f(x).
But here, we are dealing with number of cars. So it can have only values as a natural number. A negative integer, fraction or decimal cannot represent x. So it will be a set of natural numbers.
So the domain here is the set of natural numbers.
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the radius of the sphere is 10 units. what is the approximate volume of the sphere? use and round to the nearest whole cubic unit. 42 cubic units 126
The volume of a sphere with radius 10 units was found to be approximately 42 cubic units.
The volume of a sphere can be calculated using the formula:
V = (4/3) * π * r^3
Where, r is the radius of the sphere. In this case, the radius is 10 units, so we can plug in the values and calculate the volume:
V = (4/3) * π * 10^3 = 4184 cubic units
So, the approximate volume of the sphere with a radius of 10 units is 4184 cubic units.
Rounding off to the nearest whole cubic unit, 4184 cubic units becomes 42 cubic units.
Volume of a sphere is the amount of space inside a sphere.
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In the figure, m<7 = 100. Find the measure of <5
By the definition of vertically opposite angle, the value of measure of ∠5 is, 100°.
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
In the figure,
⇒ m ∠7 = 100°
Now, By the figure we have;
Both the angles 7 and angle 5 are vertically opposite angle.
And, We know that the vertically opposite angles are equal to each other.
Hence, We get;
⇒ m ∠7 = m ∠5
⇒ 100° = m ∠5
⇒ m ∠5 = 100°
Thus, We get;
⇒ m ∠5 = 100°
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a sandwich shop purchases a used pizza oven for $955. after 5 years, the oven will have to be discarded and replaced. write a linear equation giving the value v of the equipment during the 5 years it will be in use. (use t to represent the year.)
A linear equation giving the value v of the equipment during the 5 years it will be in use is v = 955 - 191t
A linear equation models a linear relationship between two variables, where the rate of change between the two variables is constant. In this case, we can model the value of the equipment as it depreciates over time using a linear equation.
Since the value of the equipment decreases linearly over time, we can write an equation in the form:
v = a - bt
where v is the value of the equipment in year t, a is the initial value of the equipment, and b is the constant rate of depreciation.
Since the initial value of the equipment is $955, we can set a equal to 955. To find the constant rate of depreciation, we need to find the change in value over the 5 years it will be in use and divide by the number of years. Assuming after 5 years the value is 0,
constant rate of depreciation = 955/ 5
= 191
So, with a = 955 and b = $191 per year, the linear equation that models the value of the equipment over time is:
v = 955 - 191t
This equation gives the value of the equipment in year t based on the initial value and the constant rate of depreciation.
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A block weighs w kg. wrote down,in terms of w, the weight of 8 such blocks.
Based on the information provided, if a block weighs w kg, then it is expected for 8 blocks to weigh 8w kg.
What is weight?The weight can be defined as the mass contained in an object or body, this is often expressed using units such as grams, pounds, kilograms, or tons.
What expression will show the weight of 8 blocks?Considering w = the weight of a single block, the best expression to show the weight of 8 blocks is 8wkg. This letter can be replaced by the value of the weight if known, for example, 8 x 25 kg.
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A. Make an organized list to represent the sample space of tossing a coin and picking a number between 1 and 5, inclusive. [Hint: Inclusive means that 1 and 5 may be picked. ]
B. In your list from A, which are favorable outcomes of the following event: choosing an odd number? you have to write it down.
The answer is A)The list of favorable outcomes are 1) 1-1, 1-2 ; 2) 2-1, 2-2 ; 3) 3-1, 3-2 ; 4) 4-1, 4-2 ; 5) 5-1, 5-2 ; B) There's 50% chance of probability of being odd.
A) If the sample space of tossing a coin and picking a number between 1 and 5, inclusive then there are 5 set of probabilities as an outcome:
1) 1-1, 1-2 ;
2) 2-1, 2-2 ;
3) 3-1, 3-2 ;
4) 4-1, 4-2 ;
5) 5-1, 5-2
B) And in the case of getting odd numbers as an probability outcome, there are 50% chance of it being odd.
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Simplify to lowest terms:
2.5:10
1.4:1.8
0.04: 0.3
1/5: 4/5
3/4: 1/2
6.2:5 2/5
Step-by-step explanation:
2.5:10 = 1/4
1.4:1.8 = 7/10
0.04: 0.3 = 2/50
1/5: 4/5 = 1/5
3/4: 1/2 = 3/2
6.2:5 2/5 = 12/5
10+10-2 a aa aa a aanswe pls
Answer:18
Step-by-step explanation:
Answer:18
Step-by-step explanation:
what is the probability of having no defectives in a sample of size 3 from a lot of 24 items with 5 known defectives.
The probability of having no defectives in a sample of size 3 from a lot of 24 items with 5 known defectives is 0.0403 or approximately 4%.
The probability of having no defectives in a sample of size 3 from a lot of 24 items with 5 known defectives can be calculated using the binomial probability formula. The formula is given by:
P(X=k) = (n choose k) * p^k * (1-p) ^(n-k)
where:
n = sample size (3)
k = number of successful trials (0)
p = probability of success (probability of an item being non-defective)
Since there are 24 items in the lot and 5 of them are known to be defective, the probability of success (p) is equal to 19/24.
Plugging in the values, we get:
P(X=0) = (3 choose 0) * (19/24) ^0 * (5/24) ^3
= 1 * 1 * (5/24) ^3
= (5/24) ^3
= 0.0403
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Find the volume of a sphere with a surface
area of 2,123.72 square meters
Answer:
9202.77m³Step-by-step explanation:
Let's get the volume of the sphere by finding the radius using the surface area given Surface area of a sphere = 4πr²[tex]2123.72 = 4 \times 3.14 \times {r}^{2} [/tex]
[tex]2123.72 = 12.57 {r}^{2} [/tex]
[tex] \frac{12.57 {r}^{2} }{12.57} = \frac{2123.72}{12.57} [/tex]
[tex] {r}^{2} = 168.95[/tex]
[tex]r = 13.0[/tex]
Volume of a sphere[tex] \frac{4}{3}\pi {r}^{3} [/tex]
[tex] \frac{4}{3} \times 3.14 \times {13}^{3} = 9202.77 {m}^{3} [/tex]
"20 decreased by the sum of 6 and b."
Responses
A 20 + (6 – b)20 + (6 – b)
B 20 – (6 + b)20 – (6 + b)
C (20 + 6) – b(20 + 6) – b
D (20 – 6) + b
The expression for the statement is 20 - (6 + b).
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given statement is 20 decreased by the sum of 6 and b.
Sum means adding two or more numbers or expressions.
Sum of 6 and b means 6 + b.
Decreased means some number is subtracted.
The expression is 20 - (6 + b).
Hence the expression for the phrase is 20 - (6 + b).
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Your options for the question seems a little confusing. Probably the options for the question is given below :
A ball is thrown from the top of a building with an initial velocity of 10 m/s and a height of 100 m. The ball makes an angle of 30 degrees with the horizontal and reaches a maximum height of 80 m. Calculate the potential energy of the ball at its highest point.
Step-by-step explanation:
To calculate the potential energy of the ball at its highest point, we first need to find the gravitational potential energy of the ball. Gravitational potential energy is given by the equation:
PE = mgh
where m is the mass of the ball, g is the acceleration due to gravity (9.8 m/s^2 on the surface of the earth), and h is the height of the ball above the ground.
At its highest point, the height of the ball is 80 m, so the gravitational potential energy can be calculated as:
PE = m * g * h = m * 9.8 * 80
where m is the mass of the ball.
Since the ball was thrown at an angle of 30 degrees with the horizontal, its initial velocity can be broken down into horizontal and vertical components:
v0x = v0 * cos(30) = 10 * cos(30) = 10 * sqrt(3)/2 m/s
v0y = v0 * sin(30) = 10 * sin(30) = 10/2 m/s
The potential energy of the ball at its highest point can be found by adding the initial kinetic energy of the ball to its gravitational potential energy. The kinetic energy of the ball can be calculated as:
KE = 1/2 * m * v0y^2
where m is the mass of the ball and v0y is the vertical component of its initial velocity.
The total potential energy of the ball at its highest point is given by:
PE = KE + mgh = 1/2 * m * v0y^2 + m * g * h
Substituting in the given values, we find:
PE = 1/2 * m * (10/2)^2 + m * 9.8 * 80
Note: The mass of the ball (m) is not given, so the answer is given in terms of m.
Answer:
Step-by-step explanation:
PE = 1/2 * m * (10/2)^2 + m * 9.8 * 80
Which other expression has the same value as (-14)-8
Answer: The expression (-14) - 8 has the same value as -22.
When Destiny agreed to proofread her brother's essay, she expected that it would be 2 pages long. When he gave her the essay, it was actually 4.5 pages long. What is the percent error for her estimate?
Answer:
44.44%
Step-by-step explanation:
Error percent can be found by this formula
Estimation/Actual number x 100/1
= 2/4.5 x 100/1
= 200/4.5 = 2000/45
= 400/9
= 44.44 %
The data from a survey on the academic degrees earned by students in the United States in 2009 is shown below. Degree Male (in thousands) Female (in thousands) Marginal Totals (in thousands) Associate 298 489 787 Bachelor 685 916 1,601 Master 260 397 657 Professional 47 45 92 Doctorate 32 35 67 Marginal Totals (in thousands) 1,322 1,882 3,204 About how many students were awarded a bachelor’s degree in 2009? A. 916,000 B. 685,000 C. 1,601,000 D. 1,322,000
1601000 students were awarded a bachelor’s degree in 2009.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
First, notice that the table is in thousands, remember that.
Now, we need to go to the part of the row of the table where we have "Bachelor".
There we can see that in 2009, a marginal total of 1,601 thousands got that degree.
Then we can conclude that in 2009, a total of:
1,601×100 = 1,601,000 students got a bachelor's degree.
Hence, 1601000 students were awarded a bachelor’s degree in 2009.
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Answer:
C. 1,601,000
Step-by-step explanation:
This is the correct answer.
8) The graph shows the total cost C of making x photocopies at a copy shop.
Making Photocopies
Total cost (dollars)
40
35
30
25
00
0
100 200 300 400 500
Number of copies
X
a) Does it cost more money to make 100 photocopies or
101 photocopies? Explain.
b) You have $40 to make photocopies. Can you buy more
than 500 photocopies? Explain.
Answer: a) It costs more money to make 101 photocopies than 100 photocopies. This can be seen from the graph as the cost increases as the number of photocopies increases.
b) You cannot buy more than 500 photocopies with $40. This can be seen from the graph as the cost of making photocopies exceeds $40 when the number of photocopies is more than 500.
Step-by-step explanation:
The solution is,
a) it costs more money to make 100 photocopies
b) you can buy more than 500 photocopies for $40
Here, we have,
we know that,
A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).
a) In the graph , 100 photocopies cost $10,
For 101 photocopies, the point on the line comes below of 10 on y axis
So, it costs more money to make 100 photocopies
b) graph arrow shows line moves on...
so, you can buy more than 500 photocopies for $40
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Find the geometric mean between 4 and 5.
Answer:
1.106209714987%
Step-by-step explanation:
Negative values detected. All input values threated as percentages (e.g. an input of 0.1 is threated as 0.1%, -10 is threated as -10%).
The diagonals of quadrilateral ABCD intersect at point K. Is each of the following needed to prove that ABCD is a parallelogram?
Answer:
BK=AK: no
BK=DK:yes
CK=AK:yes
CK=DK:no
Step-by-step explanation:
for the first and last, it is not needed because a rectangle is a parallelogram, for example, but its diagonals are not congruent. The diagonals intersect each other at both of their midpoints, on the other hand, so therefore the second and third must be true. Does this make sense?
what is distance between (1,0) and (9,15)
Answer:
17
Step-by-step explanation:
To solve this problem, we need to use the distance between two points formula. It states that the distance is [tex]\sqrt{(x_{1} - x_{2} ) ^{2} + (y_{1} - y_{2})^{2} }[/tex]. Here, [tex]x_{1} = 1, x_{2} = 9, y_{1} = 0, y_{2} = 15[/tex]. Plugging these values in gets us [tex]\sqrt{64 + 225}[/tex] which equals [tex]\sqrt{289}[/tex] = 17 .
Question's attached below.
Ty! :)
Answer:
$14087.49
Step-by-step explanation:
APR=8%,
monthly interest rate (r)=8%/12=0.08/12
Monthly payment, A=$250
After 4 years, n=4*12 = 48 months,
the balance P is therefore
P= A((1+r)^n-1)/i
=250((1+0.08/12)^48-1)/(0.08/12)
=14087.49
Un numero es el quintuple de otro y la suma de los dos es 192
al cuales son esos dos números?
Los dos números dados en el conjunto de preguntas anterior son 32 y 160. Para resolver este problema, se puede establecer una ecuación con variables.
Sea x el número más pequeño, entonces el número más grande sería 5x. La suma de ambos es 192, por lo que
x + 5x = 192.Al resolver esta ecuación simple, se obtiene que x = 32, y por lo tanto, 5x = 160. Estos son los dos números que cumplen con los requisitos dados en la pregunta.
En matemáticas, la sumatoria es la suma de una secuencia de cualquier tipo de números, llamados sumandos o sumandos; el resultado es su suma o total.
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Please help Asap. No links or files, i will report! Show work Please!
The value of x is 13.85.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
From the figure,
(7x + 1)° and (6x - 1)° makes a straight angle.
This means,
(7x + 1) + (6x - 1) = 180
7x + 1 + 6x - 1 = 180
13x = 180
x = 180/13
x = 13.85
Thus,
x is 13.85°
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Which number has a digit that is 10x greater
than 70?
a) 3,607
b) 7,391
c) 1,738
d) 7,246
Answer:
C
Step-by-step explanation:
Look at 70. What digit is it in? The tens.x10 moves our digit once to the left (70 => 700) AKA 7 hundreds!Look at the answers.3607 ( "7" ones)
7391 ( "7" thousands)
1738 ( "7" hundreds)
7246 ( "7" thousands)
while on a walk in the country, you pass a field full of horses and geese. after a quick count, you determine there are 33 heads and 102 feet in the field. how many of each animal are there?
The field is full of 18 horses and 15 geese.
Let's assume that there are x horses and y geese in the field. The number of heads can be represented as x + y = 33. The number of feet can be represented as 4x + 2y = 102.
We can use substitution to solve for one variable in terms of the other. From the first equation, we can solve for y in terms of x:
y = 33 - x
Substituting this expression for y into the second equation, we get:
4x + 2(33 - x) = 102
Expanding and simplifying the expression, we get:
4x + 66 - 2x = 102
Solving for x, we get:
2x = 36
And x = 18
So there are 18 horses in the field. Substituting this value for x into the expression for y, we get:
y = 33 - x = 33 - 18 = 15
So there are 15 geese in the field. Thus, the field is full of 18 horses and 15 geese.
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forty two out of fifty six students voted Michael for president. What fraction of the workers did not vote for him?
Answer: [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
1) Subtract Michael's voters from all the voters 56/56 - 42/56. When you have the same denominator, subtract the numerator and keep the denominator the same to get 14/56.
2) Simplify, both the numerator and denominator is divisible by 14, so divide 14/14 to get 1 as our new numerator and divide 56/14 to get 4 as our denominator leading us to our answer of 1/4
What is 1/3 times (-8)?
Answer:
Step-by-step explanation:
-2.67
can someone please help me(20 points will give brainliest!!!)
Answer:
Step-y-step explanation: я хз
I have $10,000 to invest for my daughter's car. I earned $215.04 when splitting the money into a
3% interest account and a 1.1% interest account. How much did I invest at each? (1 = prt; 1= interest
earned, p = principle (the amount invested), r = rate as a decimal, t = time in years)
The amount invested in the 3% interest account is $11,342.11, and the amount invested in the 1.1% interest account is $10,000 - $11,342.11 = $-342.11.
What is the interest?
Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.
Let's call the amount invested in the 3% interest account x. Then, the amount invested in the 1.1% interest account is $10,000 - x.
The interest earned in the 3% interest account is 0.03x, and the interest earned in the 1.1% interest account is 0.011($10,000 - x).
The total interest earned is equal to the sum of the interest earned in each account:
0.03x + 0.011($10,000 - x) = $215.04
Expanding and solving for x:
0.03x + 0.011 * $10,000 - 0.011x = $215.04
0.019x = $215.04 + 0.011 * $10,000 - 0.011 * $10,000
0.019x = $215.04
x = $215.04 / 0.019
x = $11,342.11
Hence, the amount invested in the 3% interest account is $11,342.11, and the amount invested in the 1.1% interest account is $10,000 - $11,342.11 = $-342.11.
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if 39 degree represents a clockwsie rotation of 39 degrees, what does -51 degrees represent
Angle - 51 degrees represent a counterclockwise rotation of 51 degrees.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
If 39 degrees represents a clockwise rotation of 39 degrees.
Then we can conclude that the clockwise is taken as positive and counterclockwise is taken as negative.
Angle - 51 degrees represent a counterclockwise rotation of 51 degrees.
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