The value would be [tex]34^{-1} \pmod{47}=30[/tex]
What is the modulus in mathematics?
In mathematics, the modulus is the remainder of the division of one number by another. It is denoted by the symbol %, or in some cases, by the symbol mod.
Given that 13^-1 ≡ 29 (mod 47), we can use this information to find the inverse of 34 mod 47. The inverse of a number modulo m is a number x such that the product of the number and its inverse is congruent to 1 mod m.
In the case of the given equation, [tex]$13^{-1} \equiv 29 \pmod{47}$[/tex] is saying that 29*13 = 377 is congruent to 1 mod 47.
We can use this congruence to find the inverse of 34 mod 47. The inverse of 34 mod 47 is the number x such that 34*x = 1 mod 47. So we can write this congruence as [tex]$34x \equiv 1 \pmod{47}$[/tex]
We can use the given congruence of 13^-1 ≡ 29 (mod 47) to find the inverse of 34 mod 47.
Since [tex]$13^{-1} \equiv 29 \pmod{47}$[/tex], we can multiply both sides of the congruence by 34 as:
[tex]$13^{-1} * 34 \equiv 29 * 34 \pmod{47}$[/tex]
Now we can substitute the right side of the equation:
[tex]$13^{-1} * 34 \equiv (13*29) \pmod{47}$[/tex]
And now we can substitute the left side of the equation:
[tex]$34^{-1} \equiv (13*29) \pmod{47}$[/tex]
And since [tex]$13*29 = 377$[/tex] this is congruent to 30 (mod 47) the inverse of 34 mod 47 is 30.
Therefore, the value would be [tex]34^{-1} \pmod{47}=30[/tex]
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The value would be 13.
What is the modulus in mathematics?
In mathematics, the modulus is the remainder of the division of one number by another. It is denoted by the symbol %, or in some cases, by the symbol mod.
We can use the property of modular inverse that
[tex]$(ab)^{-1} \equiv b^{-1}a^{-1} \pmod{m}$[/tex]
So, [tex]$(13*34)^{-1} \equiv 34^{-1} \cdot 13^{-1} \pmod{47}$[/tex]
[tex]$13^{-1} \equiv 29 \pmod{47}$\\$(13*34)^{-1} \equiv 34^{-1} \cdot 29 \pmod{47}$So, $34^{-1} \equiv (13*34)^{-1} \cdot 13 \pmod{47}$$34^{-1} \equiv 1 \cdot 13 \pmod{47}$$34^{-1} \equiv 13 \pmod{47}$[/tex]
Hence, The value would be 13.
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An object is moving at a speed of 11 yards every 6 months. Express this speed in centimeters per hour.
Speed of the given object in centimeters per hour
= 0.23 cm / hour
What is unit conversion?Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.
Like 1 yard = 91.44 cm
1 month = 730 hrs.
Given,
Distance covered by the object = 11 yards
Distance covered in cm = 11 × 91.44 = 1005.84 cm
Time taken to cover 11 yards = 6 months
Time taken in hours = 6 × 730 = 4380 hrs.
Speed of the object = distance covered by the object / Time taken
Speed of the object = 1005.84/4380 = 0.2296 ≈ 0.23 cm per hour
Hence, in centimeters per hour,
the speed of the object is 0.23 cm / hour.
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Which two fractions name point R on the number line?
Answer:
what number line?
Step-by-step explanation:
I don't see any ?
By some estimates, about 30% of all males have a particular defect related to their eyes. How would you assign random numbers to conduct a simulation based on this
statistic?
Answer:
related to their eyes. How would you assign random numbers to conduct a simulation based on this
Selena has 9 homemade bracelets for $12 each then 14 bracelets for $8 each. How much did she make in sales?
Answer:
$220
Step-by-step explanation:
first let's make the $12 bracelets as Type1 and the $8 bracelets as Type2,
then we calculate the amount she made by selling each type.
Eq.1 : No. of Type1 bracelets Selena made = 9
Amount she sold them for = $12
Amount she made by selling them = 9*12
= $108
Eq.2 : No. of Type2 bracelets Selena made = 14
Amount she sold them for = $8
Amount she made by selling them = 14*8
= $112
Now we calculate the Total Amount she made
we add both of the amounts
$108 + $112
= $220
Hope this helps :)
An ecologist studying starfish populations collects the following data on randomly selected 1-meter by 1-meter plots on a rocky coastline
--The number of starfish in the plot
--The total weight of starfish in the plot
--The percentage of area in the plot that is covered by barnacles (food for starfish)
--Whether or not the plot is underwater midway between high and low tide
How many of these measurements can be treated as contituous random variables and how many as discrete random variables?
Answer:
2 continous random variable
1 discrete random variable
A fourth variable that cannot be treated as random.
Step-by-step explanation:
A continous random variable differs from a discrete variable in a few ways ; Continous random variables are usually uncountable as they can take up an infinite number of values within an interval. These variables may include those obtained by measurement such as height, weight, distance and so many other decimal yielding values. Discrete random variables in the other hand are countable and values can be obtained by counting as successive values are usually whole numbers.
In the scenario above ;
The weight of starfish and percentage area on the plot are continous variables while the number of starfish is discrete.
Whether or not plot is underway or midway between high and low tide isn't a random variable.
solve the following question
On may 4th, an investor writes one s&p 100 jan 185 put at 6. His maximum potential gain on this position is:
An investor writes a s&p 100 Jan. 185 put at $6 on May 4. In this situation, his function maximum potential benefit is $600.
Define function.We could create a function with a codomain of sets of numbers and X being the set of individuals once more. For instance, create the function c so that its output c(x) is the number of offspring of each person x for which the codomain Y is the set of whole numbers.
what is benefit?A benefit is a positive outcome or advantage that results from something. It can refer to the positive aspects or advantages of a product, service, or action, and can be tangible or intangible. Benefits can include increased efficiency, cost savings, improved safety, increased customer satisfaction, and many other positive outcomes.
Here,
As a put buyer, the most you may lose is the premium you previously paid to purchase the put option.
The option price must be reduced to equal the strike price less any already-paid premium in order to break even.
The strike price less the premium is your maximum gain as a put buyer. The most bullish option strategy is thought to be purchasing call options.
This tactic allows the buyer of the call option the choice, but not the responsibility, to purchase the stock at a certain price at a precise moment.
Whenever the price of the security increases using this approach, the buyer benefits. A long position is one in which a call or put option is purchased or held.
Investors have the option of purchasing from or selling to the other investor at a predetermined price.
On the other hand, a short position is when you sell a call or put option. Writers must purchase from people holding long positions or buying options.
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On May 4th an investor writes on s&p 100 Jan 185 put at $6. his function maximum potential gain in this position is $600.
Define function.We could create a function with a codomain of sets of numbers and X being the set of individuals once more. For instance, create the function c so that its output c(x) is the number of offspring of each person x for which the codomain Y is the set of whole numbers.
Your maximum loss as a put buyer is the premium already paid to buy the put option. To break even the option price must be lowered to cover the strike price minus the premium already paid. Your maximum profit as a put buyer is the strike price minus the premium. Buying call options are considered the most bullish options strategy.
This strategy gives the call option buyer the right but no obligation to buy the security at a specific price at a specific time. With this strategy, the buyer benefits when the price of the security rises. Buying or holding a call or put option is a long position. Investors have the right to buy or sell to the writing investor at a specified price. Conversely selling or selling a call or put option is a short position. Writers must buy or sell from long position holders or option buyers.
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PLS PLS OH YES PLS JUST HELP YES I NEED HELP PLSSSSS HELP QUICKLY PLS I GIVE BRAINLIEST I RLLY DO JUST PLS I AM YES PLS BRAINLIEST WILL BE GIVEN PLS OH PLS PEOPLE I NEED HELP FAST OH PLS NOW
Answer:
Vaporization
Step-by-step explanation:
Circumference question
1. Suppose a bottle of Buckley's has a radius of 2cm. You need to
create a label for this product. What is the length of this label?
2. Assumes the company uses 22cm x 12cm boxes for delivery to stores. How many vials will be in each box?
suppose the price of each vial is $5.00. What is the cost of a box?
12.57 cm is the length of the label on bottle.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that a bottle of Buckley's has a radius of 2cm
You need to create a label for this product
We need to find the length of this label.
Means we need to find the circumference of the bottle.
The formula for circumference is
C=2πr
Given radius is 2cm
C=2×3.14×2
C=12.57 cm
Hence, 12.57 cm is the length of the label on bottle.
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A simple random sample of 10 people were asked how many first cousins they have. The results are listed below.
10, 19, 20, 13, 13, 2, 10, 8, 25, 10
What is the mean number of first cousins for this sample?
10
11.5
13
13.5.
answer is 13
Answer:
13
Step-by-step explanation:
mean= (10+19+20+13+13+2+10+8+25+10)/10=130/10=13
The mean number of first cousins for the given sample is 13. Thus, Option C is correct.
Mean is the arithmetic average of the given set of observations.
Mean for ungrouped or raw data is obtained by adding all the observations and dividing it by the number of observations.
Mean = Sum of all the observations/ Total number of observations.
Mean = ∑( x1 + x2 + x3 .... xn /n)
Where X bar represents mean, n is no. of observations and ∑ denotes sigma i.e. sum of all the values.
No. of observations (n) =10
Mean = ∑ (10 + 19 + 20 + 13 + 13 + 2 + 10 + 8 + 25 + 10) / 10
Mean = 130 / 10
= 13
Therefore, Option C is the correct answer.
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How do you compare two graph functions?
Two graph functions can be compared by analyzing their shape, direction, and relative position.
To compare two graph functions, one must look at the overall shape of the graphs, which can be either linear, quadratic, cubic, or some other shape. The direction of the graph, whether it's increasing or decreasing, should also be considered. The relative position of the graph, including the x and y intercepts, as well as any asymptotes, should also be considered.
Additionally, it's important to examine the domain and range of the function, which are the set of input values and output values that the function can produce, respectively. By comparing these different aspects of the graph, one can determine the similarities and differences between the two functions and draw conclusions about their behavior.
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HI!!
can someone help with ts
Function Notation: another way of representing the relation between two variables, y is denoted as f(x) and x remains.
x is the input and f(x) is the output
This question is essentially asking what is the output of the function when the input is equal to 5.
[tex]f(5) = (5)^2-2(5)[/tex]
[tex]f(5) = 25-10[/tex]
[tex]f(5) = 15[/tex]
Which tables of (x, y) values given below could represent functional relationships? Explain your thinking.
Consequently, the equation y = x + 5 describes the relationship between the x and y values in the table.
what is function ?The study of mathematics comprises the study of quantities and their variations, equations and associated structures, shapes and their positions, and locations where they can be found. A combination of inputs and corresponding outputs are referred to as a "function," which describes the relationship between them. The term "function" refers to an association between inputs and outputs where each input produces a single, unique result. There are two domains, or scopes, assigned to each function. Usually, the symbol f is used to signify functions (x). input is an x. There are four basic categories of functions that are available: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
given
y = x+5
2.When x = 10,y = x+5 = 10+5 = 15
3.When x =15,y = x+5 = 15+5 = 20
4.When x = 20,y = x+5 = 20+5 = 25
Consequently, the equation y = x + 5 describes the relationship between the x and y values in the table.
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Steven is training for a race. He can currently run 1 mile in 7 minutes and wants to improve his time by 10 seconds each week until he can run one mile in 5 minutes. Which equation should Steven use to calculate the number of weeks (w) it will take him to reach his goal time of 5 minutes?
a) 7 - 10w = 5
b) 10w + 7 = 5
c) 10w - 7(60) = 5(60)
d) 7(60) - 10w = 5(60)
please help me on this question. i can give brainliest!!
Answer:
The correct answers are A D E
Step-by-step explanation:
Which prism has the greatest volume?
Answer:
Volume of the prism formula:
V = lwhVolume of the given prisms:
V₁ = 5*6*4 = 120V₂ = 2*3*10 = 60V₃ = 2*8*8 = 128V₄ = 8*3*6 = 144The last Prism has the greatest volume
#1
V=4(5)(6)=120#2
V=2(3)(10)=60#3
V=2(8)²=128#4
V=8(3)(6)=144Option D
pleasee help anyone please
Answer:
x must be 14/4 = 7/2
Step-by-step explanation:
The sum of the three interior angles of a triangle must be 180 degrees.
Thus, in this particular case,
82 + 64 + 4x + 20 = 180, or
146 + 4x = 160, or
4x = 160 - 146 = 14
Then 4x = 14, and x must be 14/4 = 7/2
Answer:
x = 6
Step-by-step explanation:
72 + 64 + (4x + 20) = 180
4x + 156 = 180
4x = 180 - 156
4x = 24
x = 6
What is y 0 on a graph?
y=0 is the linear equation to denote the x - axis, as all the points on the x- axis, have their y co-ordinate =0.
What is linear equation ?
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.
Because the equation y=0 has a slope of 0, the resulting graph must be a straight horizontal line. This is true for all equations with a slope of 0.
Hence , y=0 is the linear equation to denote the x - axis, as all the points on the x- axis, have their y co-ordinate =0.
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Item 9
Use the table to write a proportion. Game 1 6 penelties 16 minutes game 2 8 penelties m minutes how many minutes and what is a proportion
The value of the minutes in the game 2 is 3 and the proportion is 8/3.
As per the question,
Game 1 has, 6 penalties in 16 minutes and Game 2 has 8 penalties in m minutes.
Now, we have to form a proportion,
A proportion is a fractional relation between any two quantities.
So, if we say that the penalties in every game are in proportion, we write a proportion of penalties per minute.
6/16 = 8/m
m = 6x8/16
m = 3
So, the penalties in the game 2 are 3 and the proportion is 8/3.
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two electric irons were sold at Rs.1050 each. If one was sold at a loss of Rs.300 and the other at a profit of Rs.450, what was the total cost price? Find the profit or loss
Answer:
Step-by-step explanation:
Selling price of two irons is Rs.1050 each.
Loss on one iron = Rs.300
Profit on second iron = Rs.450
We know that ,
Cost price = Selling price + loss ,when loss is given
and cost price = Selling price - profit ,when profit is given.
therefore, cost price of first iron = 1050 + 300 =1350 rupees
cost price of second iron = 1050 - 450 = 600 rupees
total cost price = 1350 + 600 = 1950 rupees
total selling price = 1050 + 1050 = 2100 rupees
since total cost price < selling price
so, there is a profit of 2100 - 1950 = 150 rupees.
what is the measurement of the missing angle
Answer:
88
Step-by-step explanation:
A straight line has 180 degrees so you would subtract 92 from 180 which gives you 88.
Answer: The answer is 88 degrees
Step-by-step explanation:
A straight line is 180 degrees by default, so just subtract the known angle from 180 (180-92=88)
1)
10 cm
25 cm
O 125
O 250
O 35
O 37
Please help me and please no links.
Answer:
b-250
Step-by-step explanation:
Step-by-step explanation:
the answer is 250 B hope this helps
How does the parabola open? Is the vertex a minimum or maximum value?
g(x) = (4-x)(2+7x)
Answer:
g (x) = −7 x 2 + 26 x + 8
Step-by-step explanation:
I need help not bad like ASAP but need help
What is the formula of third side?
The formula for the third side of a triangle, given the lengths of two other sides and the angle between them, is:
side_3 = sqrt(side_1^2 + side_2^2 - 2 * side_1 * side_2 * cos(angle))
The formula for the third side of a triangle, given the lengths of two other sides and the angle between them, is:
side_3 = sqrt(side_1^2 + side_2^2 - 2 * side_1 * side_2 * cos(angle))
This formula is derived from the Law of Cosines, which states that the sum of the squares of any two sides of a triangle is equal to the square of the third side, minus twice the product of those two sides multiplied by the cosine of the angle between them.
In other words, the formula states that:
side_3^2 = side_1^2 + side_2^2 - 2 * side_1 * side_2 * cos(angle)
which is then solved for side_3 by taking the square root of both sides. Thus, the formula for the third side can be written as:
side_3 = sqrt(side_1^2 + side_2^2 - 2 * side_1 * side_2 * cos(angle))
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HELP ME PLEASEEEEE I WILL GIVE THE BRAINLY THING
Simplify the fraction 20/24 to lowest term.
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Given
[tex]\frac{20}{24}[/tex] ← divide numerator/ denominator by 4 ( the LCM of 20 and 24 )
= [tex]\frac{5}{6}[/tex] ← in simplest form
Pls help quickly. Calculate the bearing of Y from
Z.
N
X
135°
z+
105°
Z
Y
Not draw
The bearing of point Y from point Z is 30 degrees.
What is the bearing of a point?
The bearing of a point is the angle measured in degrees clockwise from a reference direction (usually north). To find the bearing of point Y from point Z, we need to determine the angle between the line connecting point Z to point Y and the reference direction.
we know that the bearing of point X from point Z is 135 degrees, and the bearing of point X from point Y is 105 degrees.
we can use the following mathematical relationship to find the bearing of point Y from point Z:
Bearing of Y from Z = (Bearing of X from Z) - (Bearing of X from Y)
Substituting the values we know:
Bearing of Y from Z = 135 - 105 = 30 degrees
Hence, the bearing of point Y from point Z is 30 degrees.
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i have two crushes at school one is in twelveth grade the other is in 10th grade and they both have crushes on me what should i do girls
Answer:
Uhh which one do you like the best? and then if you don't work out go to the other one but if they are friends then pick one and don't date the other :)
Step-by-step explanation:
Find the values of a, b if the parabola
y = a (x + b)² - 8:
a. Has tangent y = 2x at the point P(4,8)
b. Has normal x - 2y = 17 at the point Q(-1,-9)
c. Has a common tangent with y = 2-x² at the point A(1,1)
Therefore , the solution of the given problem of equation comes out to be a=1 and b =-1.
Define equation.An equation is a mathematical representation of two equal variables, one on each side of a "equals" sign. Everyday issues can be resolved with equations. We commonly look for pre algebra help to deal with problems in real life. Pre-algebra contains the fundamental concepts of mathematics.
Here,
y' = 3x2 = 3(1) (1) 2 = 3
As a result, the slope-point form of the necessary tangent line is: => y-yo = m. (x - xo) y-1=3(x-1)
The two slopes just need to match for y = x2 + ax + b to share a tangent line at the location (1, 1). (In this manner, the slope-point forms of the two tangent lines will be identical.)
Therefore, y = x2 + ax + b must meet the following two requirements:
It must go through (xo, yo) because: (1, 1).
At this point, it must have a slope (y') of 3.
These will provide us with the two unknowns for our two equations. With the first, we have y'= + axo + b.
⇒ 1 = (1)2 + a(1) + b
⇒ 0 = a + b
and the second one gives us
y=2x0+ a
=> 3 = 2(1) + a
=> a = 1
Looks like we know exactly what a is. All we need is to plug this value into the first equation and we'll find b:
a+b=0
b = -a
b = -1
Therefore , the solution of the given problem of equation comes out to be a=1 and b =-1.
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