Step-by-step explanation:
According to picture 1, it is A. corresponding.
Also according to picture 2, it is E. same side interior.
And according to picture 3, it is D. vertical
what mathematical problem forms the basis of most modern cryptographic algorithms?
Answer:
The mathematical problem that forms the basis of most modern cryptographic algorithms is the difficulty of factoring large prime numbers.
Step-by-step explanation:
The problem that forms the basis of most modern cryptographic algorithms is the difficulty of factoring large integers into their prime factors. This is known as the integer factorization problem. It is believed to be a computationally hard problem, meaning that it would take an impractically long time to factor very large integers using classical computers. Many cryptographic algorithms, such as RSA, rely on this problem for their security.
What is the distance between (2, 3) and (-2, 7)? Round to the nearest tenth, if necessary.
Answer:
\(\displaystyle d = 5.7\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: \(\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Step-by-step explanation:
Step 1: Define
Point (2, 3)
Point (-2, 7)
Step 2: Identify
(2, 3) → x₁ = 2, y₁ = 3
(-2, 7) → x₂ = -2, y₂ = 7
Step 3: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: \(\displaystyle d = \sqrt{(-2-2)^2+(7-3)^2}\)[Distance] [√Radical] (Parenthesis) Subtract: \(\displaystyle d = \sqrt{(-4)^2+(4)^2}\)[Distance] [√Radical] Evaluate exponents: \(\displaystyle d = \sqrt{16+16}\)[Distance] [√Radical] Add: \(\displaystyle d = \sqrt{32}\)[Distance] [√Radical] Simplify: \(\displaystyle d = 4\sqrt{2}\)[Distance] Evaluate: \(\displaystyle d = 5.65685\)[Distance] Round: \(\displaystyle d = 5.7\)Graph a line that contains the point (-3, 5) and has a slope of -2/5.
Answer:
y=-\frac{2}{5}x+\frac{19}{5}y=−52x+519
Further explanation:
We have to find the equation of the line first to graph the line.
The general form of slope-intercept form of equation of line is:
y=mx+by=mx+b
Given
m=-\frac{2}{5}m=−52
Putting the value of slope in the equation
y=-\frac{2}{5}x+by=−52x+b
To find the value of b, putting the point (-3,5) in equation
\begin{gathered}5=-\frac{2}{5}(-3)+b\\5=\frac{6}{5}+b\\5-\frac{6}{5}+b\\b=\frac{25-6}{5}\\b=\frac{19}{5}\end{gathered}5=−52(−3)+b5=56+b5−56+bb=525−6b=519
Putting the values of b and m
y=-\frac{2}{5}x+\frac{19}{5}y=−52x+519
Determine whether each quadrilateral is a parallelogram. Justify your answer.
All parallelograms are quadrilaterals, so if it is a parallelogram, it is also a quadrilateral. The correct answer is that all trapezoids are quadrilaterals.
What proportion of these candy bars have fewer than 200 calories? (round your answer to two decimal places.)
The proportion of candy bars with fewer than 200 calories cannot be determined without additional information.
To calculate the proportion of candy bars with fewer than 200 calories, we need to know the total number of candy bars and the number of candy bars that have fewer than 200 calories.
Without this information, we cannot determine the proportion. The number of candy bars with fewer than 200 calories could vary greatly depending on the specific dataset or context.
The proportion of candy bars with fewer than 200 calories cannot be determined without additional information regarding the total number of candy bars and the number of candy bars that fall into that category.
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Estimate √172 to the nearest tenth. Locate the irrational number on a number line.
The irrational number on a number line is 13.1. All real numbers that are not rational are considered irrational numbers. In other words, it is impossible to describe an irrational number as the ratio of two integers.
What is irrational number ?All real numbers that are not rational numbers are referred to be irrational numbers in mathematics. In other words, it is impossible to describe an irrational number as the ratio of two integers.There is no length, no matter how short, that could be used to express the lengths of both of the two supplied segments as integer multiples of itself.
Square Root of 172 to the nearest tenth, means to calculate the square root of 172 where the answer should only have one number after the decimal point.
CalculateWe calculate the square root of 172 to be:
√172 = 13.11487704860400
ReduceReduce the tail of the answer above to two numbers after the decimal point: 13.11
RoundRound 13.11 so you only have one digit after the decimal point to get the answer: 13.1
To check that the answer is correct, use your calculator to confirm that 13.1² is about 172.
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What is the missing label
Answer:9/12
Step-by-step explanation:
Answer:
3/12 or 1/4
Step-by-step explanation:
Can someone pls help me with this
Answer:
4
Step-by-step explanation:
If you graphed it out you would see that the rise/run would be 4 over 1 which is also 4. On this table, you can see that the x is going up by 2 and the y is going up by 8 and 8/2 is also the same as 4/1 or 4 (rise/run = y/x).
The surface areas of the two solids shown above are equal.
A. True
B. False
Answer:
True.
Step-by-step explanation:
first solid
A=72
second solid
A= 72
Answer:
True
Step-by-step explanation:
Both the surface areas = 72.
Which two steps will complete the list correctly? 4. Divide the original measurement by the conversion factors. 5. Check for reasonableness. 4. Multiply the acoriginal measure by the conversion factors. 5. Simplify the answer. 4. Multiply the original measure by the conversion factors. 5. Check for reasonableness. 4. Divide the original measure by the conversion factors. 5. Simplify the answer.
Two steps that will complete the list correctly are:
4. The original measurement should be multiplied by the conversion factors.
5. Verify that it makes sense.
What is meant by conversion factor?A conversion factor can be used to switch from one set of units to another by multiplying or dividing a number. When a conversion is necessary, the appropriate conversion factor to an equivalent value must be applied.
Let's use an example of converting from inches to centimeters to address this query.
10 inches should be converted to cm.
The first step is to identify the measure that has to be converted, which in this case is inches.The conversion factors, which are; are written in the second step. 1 inch equals 2.54 centimetersThe third step is to cancel the units; in this instance, inches will be cancelled.The original measurement is multiplied by the conversion factor in the fourth step to give; 10 × 2.54 cm = 25.4 cmThe fifth stage is to assess reasonableness by attempting to determine whether choosing a different number will produce a reasonable result.To know more about units, visit:
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PLEASE HELP
Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = (x − a)(x − b). Describe the direction of the parabola and determine the y-intercept and zeros.
example below
The equation of the parabola is f(x) = -x(x + 6), the y intercept is 0, the zeros are at 0 and -6
What is a parabola?A parabola is a plane curve with a u shape. The equation for a parabola is in the form of a quadratic equation, that is:
y = ax² + bx + c
If a is positive, the parabola faces up whereas if a is negative, the parabola faces down.
From the graph:
The direction of the parabola is facing down. Hence a is negative
The y intercept is at x = 0. The y intercept is 0.
The zeros are at -6 and 0. Hence:
f(x) = -(x - 0)(x - (-6))
f(x) = -x(x + 6)
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please help i’ll give u brainlest
Answer:
y=6cos 45° +4
=6(1/√2)+4
=6/√2+4
Step-by-step explanation:
y=acosx+b
find a and b
y=b=4 when x=90 degrees because cos 90=0
find a : when x=60 degrees, y=7
7=acos60°+4
7=a(1/2)+4
a/2=3
a=6
y=6cos 45° +4
=6(1/√2)+4
=6/√2+4
The total number of data items with a value less than the upper limit for the class is given by the _____ distribution.
The cumulative frequency distribution indicates the total number of data items with values below the class's upper limit.
By cumulative frequency, what do you mean?Cumulative frequency analysis examines how frequently values of a phenomena occur that are less frequent than a reference value. The phenomenon could depend on time or place. Another name for cumulative frequency is frequency of non-exceedance. Each frequency from a frequency distribution table is added to the total of its predecessors to determine the cumulative frequency. Since all frequencies will have previously been added to the prior total, the final result will always be equal to the sum of all observations. The quantity of an element in a set is referred to as the element's frequency. The accumulation of all earlier frequencies up to the present time is another definition for cumulative frequency.
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(17.13) (17.8)
Slope
how to determine area of the following,in some cases leave the answer in term of x ABJH
Answer:
x²
Step-by-step explanation:
The area of rectangle ABJH is the product of its dimensions.
__
The dimensions are given as ...
AB = x
AH = x
The area of ABJH is ...
area = length × width = (x) × (x) = x²
The area of ABJH is x².
3. The function f(x) = 3x^2 – x + 7 has a minimum value of ____ and this value occurs at x = ____
The function f(x) = 3x^2 - x + 7 has a minimum value of 83/12, and this value occurs at x = 1/6.
The function f(x) = 3x^2 - x + 7 is a quadratic function with a positive leading coefficient (3). Therefore, it has a minimum value. To find this minimum value, we can use the vertex formula for a quadratic function:
x = -b / (2a)
where a = 3 and b = -1.
x = -(-1) / (2 * 3)
x = 1 / 6
Now, we can find the minimum value by plugging x = 1/6 into the function:
f(1/6) = 3(1/6)^2 - (1/6) + 7
f(1/6) = 3(1/36) - (1/6) + 7
f(1/6) = 1/12 - 1/6 + 7
f(1/6) = 1/12 - 2/12 + 84/12
f(1/6) = 83/12
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Keith has a magnet shaped like a triangular pyramid. The height of the magnet is 5 millimeters. The volume of the magnet is 400 cubic millimeters.
What is the area of the base of the magnet in square millimeters?
A. 320 mm2
B. 88 mm2
C. 240 mm2
D. 160 mm2
the answer for your question is B
Quiz #106 (8.2 & 8.3)
1. The length of the flag
pole's shadow is 36
inches. The woman is 60
inches tall and her
shadow is 12 inches.
BEM189
36
Not drawn to scale
c) Draw two triangles and explain how they
48-72
are similar.
Thy bith XS to
Hor Misant
由田田
60
48
On solving the provided question, we can say that By the help of trigonometry the angle elevation is 45.
what is trigonometry?
The area of mathematics known as trigonometry looks at how triangle side lengths and angles relate to one another. In the Hellenistic era, roughly in the third century BC, the region had its initial appearance due to the use of geometry in astronomical study.
Exact mathematics focuses on specific trigonometric functions and how calculations could employ them. There are six well-known trigonometric functions in trigonometry.
They go by a variety of names and abbreviations, including sine, cosine, tangent, cotangent, secant, and cosecant (csc). The study of triangle properties, particularly those of right triangles, is known as trigonometry. In geometry, the characteristics of every geometric figure are explored.
Let the pole's height be denoted by AB = h.
A pole's shadow will create the base BC.
Let the elevation angle be 9,
By the help of trigonometry
tan x = AB/BC
tan x = h/h = 1
x = tan^(-1)
x = 45
Hence, the angle elevation is 45
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Vega swam her leg of the race in 27.98 seconds and Janice swam her leg of the relay race in 25.679 seconds. What was their combined time for their part of the relay?A.2.301 secondsB.28.477 secondsC.53.669 secondsD.53.659 seconds
To get their combined time, get the sum of Vega's time and Janice's
\(27.98\text{ sec}+25.679\text{ sec }=53.659\text{ sec}\)Therefore, their combined time for their part of the relay is 53.659 seconds.
Suppose you trap 255 stickleback fish in a lake and mark them by clipping the first spine of their dorsal fins. One month later you recapture a total of 162 individuals, 78 of them marked. Estimate the total population size.
The estimated total population size of stickleback fish in the lake is approximately 530 individuals.
The mark and recapture method can be used to estimate the total population size of a species in a particular area. Based on the information provided, we can use the Lincoln-Petersen method to estimate the population size.
The formula for the Lincoln-Petersen method is
N = (M x R) / C
Where
N = total population size
M = number of individuals in the first sample (marked individuals)
R = number of individuals in the second sample (recaptured individuals)
C = number of marked individuals recaptured in the second sample
Using the given information, we can plug in the values to the formula
N = (255 x 162) / 78
N = 529.62
N = 530
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On a sunny day, liam decided to walk 15 mi to his grandmother's house. after walking for a while at a rate of 3 mph, liam realized that it might start raining, so he decided to take a taxi the rest of the way. the taxi traveled at a speed of 30 mph. if he arrived at his grandmother's house 2 hours after he started, what distance did liam travel by taxi?
Liam arrived at his grandmother’s house 2 hours after he started. Hence, the total distance Liam travel by taxi is: 10 mi.
How to calculate the distance with the concept of linear equation in two variables?With the linear equation in two variables concept, we can state that the total time taken by Liam to reach his grandmother’s house is:
t1 + t2 = total hours needed
t1 + t2 = 2 hours ---> (equation 1)
Meanwhile, his initial location is 15 miles away from his grandmother’s house. We know that distance = speed x time. ---> (equation 2)
Therefore, from both equations above, the total distance could be stated as:
Total distance = (3 x t1) + (30 x t2)
By solving that equation, we get t1 = 5/3 hour and t2 = 1/3 hour.
Hence, the distance Liam travel by taxi is:
Total distance = 30 x t2
Total distance = 30 x 1/3
Total distance = 10 mi.
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Jamie had $150 to go shopping.she bought a pair of shoes and a new hacket.the shoes we $75 and the jacket was 40% the cost of the shoes.how much moneydid jamie have left over?
Answer: $30
Step-by-step explanation:
I think you do 150-75=75
then \(\frac{40}{100} \) = \(\frac{x}{75} \) and solve; 40x75 then divide it by 100 (Im not sure tho!)
33. Draw the combinational circuit that directly implements the Boolean expression: F(x,y,z) = xyz + (y′ + z)
To implement the Boolean expression F(x,y,z) = xyz + (y′ + z) using a combinational circuit, we can use two AND gates and one OR gate.
To draw the combinational circuit that directly implements the Boolean expression F(x, y, z) = xyz + (y′ + z), follow these steps:
1. Identify the individual terms in the expression: xyz and (y′ + z).
2. Draw an AND gate for the term xyz:
- Connect the input lines of the AND gate to x, y, and z.
3. Draw an OR gate for the term (y′ + z):
- To obtain y′, connect an input line from y to a NOT gate.
- Connect the output of the NOT gate and an input line from z to the input of the OR gate.
4. Combine the results from steps 2 and 3 with an OR gate:
- Connect the outputs of the AND gate and the OR gate from steps 2 and 3 to the input lines of a final OR gate.
5. The output of the final OR gate is the function F(x, y, z).
In summary, the combinational circuit consists of 1 AND gate, 2 OR gates, and 1 NOT gate arranged as described above to directly implement the given Boolean expression.
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problem of volume that equals 1
Answer:
l=1
b =1
h=1
vol=l×b×h
=1×1×1
=1
If the perimeter of a triangle is 8x + 6y, and two of the sides are 2x + 2y and 5x − y, which is the third side?
A.x + 5y
B. x + 4y
C. 5x + y
D. 2x + 2y
Answer:
A.x + 5y
Step-by-step explanation:
let 3rd side be z
P=2x+2y+5x-y+z=8x + 6y
7x+y+z=8x+6y
z=8x+6y-7x-y=x+5y (⇒ A)
a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can be used only once?
*(no leading zero for the three-digit numbers; e.g. 012, 023, 062)
b) How many of these are odd numbers?
c) How many are greater than 330?
A) 180 three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6.
B) 75 of these numbers are odd.
C) 105 of these numbers are greater than 330.
A) There are 6 choices for the first digit, 6 choices for the second digit, and 5 choices for the third digit, so the total number of three-digit numbers that can be formed is 6*6*5 = 180.
B) To make number odd we need to fix last digit so the last digit have 3 option (1,3,5) first digit have 5 option and second digit have 5 option so total number is 5*5*3 = 75
C) The total number of numbers formed which are greater than 330 is obtained as shown below:
If the number starts with 3, the second place will be occupied by the digit 3, 4, 5, or 6 and the third place will be occupied by 1, 2, 3, 4, 5 and 6.
The number formed by the digit starts with 3 is 1*3*5 =15
If the digit starts with 4, 5 or 6, the number of digits formed are 3*6*5 =90
So total number greater than 330 is 90+15 =105
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What is the size of x when the opposite is 4.9 the hypotenuse is 7.2 i need to work out x which is where it meets with the hypotenuse and adjacent?
Answer:
Step-by-step explanation:
10
which theorem or postulate proves that â–³abc and â–³def are similar?
Angle-Angle (AA) similarity postulate, if two angles of one triangle are congruent to two angles of another, then the triangles are similar.
Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other. Similar triangles look the same but the sizes can be different.
As per the diagram,
Triangles RPQ & RST are similar since
∠P = ∠S & ∠Q = ∠T
Side - side - side (SSS) similarity theorem - If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.
Triangles RPQ & RST are similar since
RP/RS = RQ/RT = ST/PQ
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A trapezoid has bases of lengths 14 and 21. Find the trapezoid's height if it's area is 245
Answer: 8575/2
Step-by-step explanation:
Does anyone know how to take a screenshot on a Chromebook without the windows?