Only 3 & 5 from the set {1,2,3,4,5,6} are primitive root (mod7), therefore, sum of integers is 3 + 5 = 8.
What is primitive root?A number g is a primitive root modulo n if every number a coprime to n is congruent to a power of g modulo n in modular arithmetic. That is, g is a primitive root modulo n if for every integer a coprime to n, some integer k for which gk ≡ a (mod n).
The index or discrete logarithm of a to the base g modulo n is a value k like this. So, if and only if g is a generator of the multiplicative group of integers modulo n, g is a primitive root modulo n.
In Article 57 of his Disquisitiones Arithmeticae (1801), Gauss defined primitive roots and credited Euler with coining the term.
Learn more about primitive root
https://brainly.com/question/30049990
#SPJ4
Can someone help me do this given and prove thing if u seen it and know how to
What is 648 rounded to the nearest ten
Answer: 640
Step-by-step explanation:
1. To help identify what place value to round write out the numbers with their place
the hundreds value in this question is 600
the tens value in this question is 40
and the ones value is 8
Since the questions asks to round to the nearest 10, you would look at the number after 4 and see if it is equal or greater than 5, if so, you would round it up to the next number, which would be 5 and write it like 640.
Triangle GHI is dilated by a scale factor
of 4 to 7 to create triangle RST. If the
perimeter of triangle RST is 28 cm,
what is the perimeter of triangle GHI?
Answer:
It would be 49 cm
Step-by-step explanation:
Knowing the the perimeter of Tri RST is 28 cm and that it is a dilated by a 4:7 Scale Factor from Tri GHI:
(4/7)x = 28cm
(4/7)x (7/4) = 28cm (4/7)
x = 49cm
Hope that helps.
eight more than the product of a number 9 is equal to 7
Answer:
The equation you have provided is 8 + 9x = 7, where x is the unknown number.
To solve for x, you can first subtract 8 from both sides of the equation to get
9x = -1
Then divide both sides by 9
x = -1/9
So the number x is -1/9, which means that the product of x and 9 is equal to -1.
Keep in mind that this is not a natural number and it is not possible to represent the solution as a whole number.
Step-by-step explanation:
Find the value of x in the triangle shown below. 56, 4.5, 4, 4
Answer:
x = 68°
Step-by-step explanation:
This is an isosceles triangle, which means the two base angles will be the same. (56° and 56°)
All triangles angles must add up to 180, so if we take 180-56-56 we will find the missing angle (x).
180-56-56 = 68
x = 68°
Bob made 15,000 in taxable income lat year. Suppoe the income tax rate i 15% for the firt 8000 plu 19% for the amount over 8000. How much mut Bob pay in income tax for lat year?
Therefore, Bob must pay $2530 in income tax for last year if Bob made 15,000 in taxable income last year.
What is taxable income?The basis of an income tax system is referred to as taxable income. In other words, the amount of revenue that was subject to taxation.
Define revenue.Revenue is the entire amount of money made through the sale of products and services that are essential to the business's core activities.
The first $8000 of Bob's taxable income is taxed at 15%:
Tax on first $8000 = $8000 * 0.15 = $1200
The remaining $7000 of Bob's taxable income is taxed at 19%:
Tax on remaining income = $7000 * 0.19 = $1330
Total tax = $1200 + $1330 = $2530
So Bob must pay $2530 in income tax for last year.
To know more about taxes visit: https://brainly.com/question/16423331
#SPJ4
If quadrilateral ABCD is a rectangle, where A(-5, -5), B(-10, -3), C(-6, 7) and D(x, y) is unknown. Find the coordinates of the fourth vertex Point D. Write your answer as an ordered pair.
Answer choices
(-1,5)
(-5,6)
(5,1)
(-10.-6)
Answer: No rectangle can make this shape
Step-by-step explanation:
What the answer? help me out! hurry!!
A line has a slope of - 1/7 and passes through the point (4,5). What is its equation in point-slope form??
Answer:
Step-by-step explanation:
y - 5 = -1/7(x - 4)
y - 5 = -1/7x + 4/7
y - 35/7 = -1/7x + 4/7
y = -1/7x + 39/7
What is the best explanation of irrational numbers?
The best explanation of Irrational Numbers is that , the numbers that cannot be expressed as a ratio of integers are called as Irrational Numbers .
What are Irrational Numbers ?
The Irrational numbers are the real numbers that cannot be represented in the form of a ratio ([tex]\frac{p}{q}[/tex]) . In other words, the real numbers that are not rational numbers are called as irrational numbers.
For Example : [tex]\pi[/tex] is an irrational number as [tex]\pi =3.1415925...[/tex] The decimal value in the expansion never stops at any point.
Some Property of Irrational Numbers are :
(i) The Irrational numbers consist of only non-terminating and non-recurring decimals.
(ii) The Irrational Numbers are real numbers only.
(iii) The Addition, subtraction, multiplication, and division of any two irrational numbers may or may not be a rational number.
Learn more about Irrational Numbers here
https://brainly.com/question/4031928
#SPJ4
Find the area of the haded region. Give your anwer a a completely implified exact value in term of π (no approximation). Chapter Reference b A 1 cm 1 cm 3 cm C O B D P
The shaded region has a surface area of 7π.
What is area?The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina. The total space occupied by a flat (2-D) surface or the form of an item is defined as its area. Draw a square on a sheet of paper using a pencil. It is a two-dimensional figure. The area of the form on the paper is referred to as its Area. Consider your square to be made up of smaller unit squares.
Here,
find the area of the circle with radius =3 cm,
then subtract the areas of the two circles with radius 1 cm
pir^2 = the area of a circle with radius = r
=pi(3)^2 -pi(1)^2 - pi(1)^2
= 9pi -pi-pi
= 9π-2π
= 7π
The area of shaded region is 7π.
To know more about area,
https://brainly.com/question/13194650
#SPJ4
What is the perimeter of a rectangle with length
(3x+2) and width (x-7)?
point K is the incenter of triangle PQR. what is m
Answer:
115 degrees
Step-by-step explanation:
The incenter is where the angle bisectors of a triangle meet. So [tex]m\angle{PQK}=15^\circ \text{ and } m\angle{PQR}=30^\circ[/tex].
To find the measure of angle RKQ, we need to find the measure of angle PRQ. In the big triangle, the sum of angle measures is 180 degrees, and we know two of the angles, 50 deg and 30 deg (for a total of 80 deg). That leave 100 degrees for the measure of angle PRQ.
But RK is an angle bisector, so [tex]m\angle{KRQ}=50^\circ[/tex].
We now know two of the angles in [tex]\triangle{KRQ}[/tex], 50 deg and 15 deg. Those total 65 degrees, so [tex]m\angle{RKQ}=180^\circ - 65^\circ=115^\circ[/tex]
PLS HELP ASAP 50 POINTS!!!
Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by AAS
The angles that would make triangle ABC congruent to triangle PDF by AAS are ∠ ACB and ∠ PFD i.e. ∠ ACB = ∠ PFD.
What is triangle?Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.
Given:
The triangle ABC and PDF are concurrent by AAS,
The AAS concurrency required two angles and one side to be equal,
Here,
AB = PD,
∠ ABC = ∠ PDF
Now one more angle is required to be equal,
∠ ACB = ∠ PFD
Thus, the missing angle is ∠ ACB and ∠ PFD.
To know more about Triangles:
https://brainly.com/question/16886469
#SPJ1
Random students from a high school were surveyed to determine if there was enough interest to start a Ukulele Club.
Identify the population:
A. Students of high schools across the country
B. Students of the high school
C. Citizens of the city
D. Every citizen of the country
Answer:
b
Step-by-step explanation:
Answer:
B. Students of the high school
Step-by-step explanation:
It is high school because you just want to ask that area.
Find the measure of the indicated angle. Need help please.
I need explanation
THANK YOU
Answer: Approximately 28 km
The more accurate, yet still approximate value, is roughly 27.995735464379
Round that however you need to.
=============================================================
Explanation:
As the diagram shows, the uppercase letters A,B,C represent the corner points of the triangle. They also represent the angles. The diagram says that:
angle A = 59angle B = 91The missing angle C is....
A+B+C = 180
C = 180-A-B
C = 180-59-91
C = 30
which we'll use later.
Convention usually has the side lengths be lowercase letters 'a', b, and c. Those lowercase letters are opposite their uppercase counterpart. We'll have side 'a' opposite angle A, then b is opposite B, and c is opposite C. This allows us to quickly label a triangle and find the missing sides and/or angles. The phrasing "solve the triangle" basically means "find all the missing sides and angles". For this problem, we're only concerned with one side.
The diagram says that side c = 14 due to it being opposite angle C.
The goal is to find side b, which is the shorter way of saying "find AC".
-------------------------
From here, we can use the law of sines to find side b
b/sin(B) = c/sin(C)
b/sin(91) = 14/sin(30)
b = sin(91)*14/sin(30)
b = 27.995735464379 which is approximate
b = 28
Side AC is roughly 28 km long.
I rounded to the nearest whole number since the "14 km" is also a whole number. Your teacher may want you to round differently.
Make sure your calculator is in degree mode.
What are all values of x that make the equation true?
Factor the expression completely.
x^4-15x^2+54
Answer:
x^2(x^2 - 15) + 9(x-6)(x+1)
Step-by-step explanation:
To factor the expression x^4 - 15x^2 + 54 completely, we need to find the common factors in each term. In this case, we can see that the terms x^4 and -15x^2 share a common factor of x^2. To factor this out, we can use the difference of squares factorization:
x^4 - 15x^2 + 54 = x^4 - 15x^2 + (9x^2 - 9x^2) + 54
= x^2(x^2 - 15) + 9(x^2 - 6)
= x^2(x^2 - 15) + 9(x-6)(x+1)
Since x^2-15 can't be factored further. The expression is fully factored.
We can check this by multiplying it back and it should be the same as original expression.
Rover it’ 3/4 of a can of cat food each day Bobo it’ 1/2 of a can of cat food each day cat food cot five dollar for three can it i only aw three can’t fox how much doe it cot for Karen for a 60 day upply of cat food for her to count cat
this question is related to numbers and the solution is as follows,
Rover eats 3/4 can of cat food in a day.
given
in 60 days it will consume 60 x 3/4 cans = 45 cans of cat food
3 cans cost = $5 and a pack contains 3 cans
45 cans is equivalent to= 45/3
= 15 packs
15 packs cost = 15 x $5 = $75
So it will cost $ 75 to feed Rover for 60 days
Bobo eats 1/2 of a can of cat food per day
in 60 days it will consume 60 x 1/2 cans = 30 cans of cat food
3 cans cost $5 and a pack contains 3 cans
30 cans are equivalent to 30/3 = 10 packs
10 packs will cost = 10 x $5 = $50
So it will cost $50 to feed Bobo for 60 days
In total, in 60 days it will cost $75 +$ 50 = $125 to feed both cats in 60 days.
Learn more about numbers here :-
https://brainly.com/question/17429689
#SPJ4
As calculated from the data we get the result as that $ 125 is required for the cat food of both the cats in a month.
We are given that in 60 days he will consume ,
60 x 3/4 cans
= 45 cans of cat food
The cost of 3 cans cost = $5
and one pack has 3 cans in it.
Therefore, 45 cans is equivalent to
= 45/3
= 15 packs
So , the cost of 15 cans will be ,
15 packs cost = 15 x $5 = $75
Therefore ,$75 is used for 60 days of cat food for Rover.
Now , we know that Bobo eats 1/2 of a can food in a day.
Therefore, in 60 days he will eat,
60 x 1/2 cans
= 30 cans of food
As we know, 3 cans cost $5 and a pack contains 3 cans
Therefore, 30 cans = 30/3 = 10 packs
10 packs will cost = 10 x $5 = $50
So , $50 is spend to feed Bobo , in a month.
Therefore , if will combine their cost we will get that ,
$75 +$ 50 = $125 is required to feed both the cats in one month.
Learn more about cats
brainly.com/question/14361255
#SPJ4
6.
Find the slope of the line.
A. –3
B. [tex]-\frac{1}{3}[/tex]
C. 3
D. [tex]\frac{1}{3}[/tex]
Answer:
The slope is 1/3. Goes 1 up and 3 to the right.
Which list shows the students in order from the greatest amount of time to the least amount of tme used?
Answer:
more information is needed
Step-by-step explanation:
inadequate info :(
A recipe for tropical punch calls for 222 liters of pineapple juice and 333 liters of orange juice. Jo creates a drink by mixing 333 liters of pineapple juice with 444 liters of orange juice. How does Jo's drink compare to the tropical punch recipe
Amount of pineapple juice is more in Jo's drink and amount of Orange juice is less in Jo's drink as compare than the tropical punch recipe because these are not in that ratio as in the tropical punch recipe.
What is the ratio?Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division. Here the dividend is called the 'antecedent' and the divisor is called the 'consequent'.
The Number of cups of pineapple juice = 222 liters
The Number of cups of orange juice = 333 liters
Thus ,
Total number of cub of juice = 222+333
= 555 cups
In Jo's drink
The Number of cups of pineapple juice = 333 liters
The Number of cups of orange juice = 444 liters
Thus Total number of cub of juice = 333+444
= 777 cups.
The ratio of amount of pineapple juice and amount of Orange juice is 2:3 in the tropical punch recipe
Whereas the ratio of amount of pineapple juice and amount of Orange juice is 3:4 in Jo's drink
Thus we can see that Amount of pineapple juice is more in Jo's drink And Amount of Orange juice is less in Jo's drink.
To learn more about ratio refer to:
brainly.com/question/13419413
#SPJ4
HELP DUE IN 10 MINS!
Determine which of the following quadrilaterals have the property below. Choose all that apply.
Diagonals are congruent??
Parallelogram
Rhombus
Rectangle
Square
Kite
Isosceles Trapezoid
Answer:
Step-by-step explanation:
Of that list, only the square and the rectangle have the property you are asking for.
Try drawing it. The parallelogram has a shorter diagonal from the two obtuse angles than the diagonal from the two acute angles.
The rhombus has the same property as the parallelogram.
The kite has a far longer diagonal from the angle enclosed by the two long sides going to the angle enclosed by the two shorter sides, than a line going from the angle enclosed by one shorter and one longer side to the other angle made the same way.
Emma and arianna recoreded how much money they earned for doing chores for a each week for 5 weeks, the results were are lised below
Answer:
Step-by-step explanation:
It’s 0
(6 × 10^3) ÷ (3 × 10^2)
Evaluate the expression 2(b+4), when b=5
The evaluation of the expression 2(b + 4) when b = 4 is 18
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
Expression: 2(b + 4)
Values: b = 5
Substitute the known values in the above equation, so, we have the following representation
2(b + 4) = 2 * (5 + 4)
Evaluate the products
This gives
2(b + 4) = 10 + 8
Evaluate the like terms in the equation
So, we have the following representation
2(b + 4) = 18
Using the above as a guide, we have the following:
The solution is 18
Read more about equation at
brainly.com/question/2476251
#SPJ1
Pls help me with this!
Answer:
5.5 + 4 +3
Step-by-step explanation:
What is the value of x?? check attachment
Answer:
D. 25°
Step-by-step explanation:
Answer:
105
Step-by-step explanation:
50+25=75, 180-175=105
y
Which of the following best represents R = A - B?
A)
B)
R
The closing side of the triangle serves as the best representation of the resultant vector for the resultant R=A+B, so selecting option C would be the appropriate response.
what is vector ?A vector in mathematics is a quantity that has both magnitude and direction but no specific location. Illustrations of such numbers include velocity and acceleration. The term "vector" refers to something that has both magnitude and direction. When viewed geometrically, a vector can be thought of as a directed reference line, the direction of which is indicated by an arrow and whose length corresponds to the vector's magnitude. A quantity or phenomenon known as a vector has two distinct qualities that are its size and direction. Also included in the term is a description of how these values are represented geometrically or mathematically. Vectors are present in electromagnetic fields, as well as in weight, velocity, force, and velocity.
given
As stated in the issue, we must determine the resultant vector by adding vectors A and B.
The triangle law of vector addition, which states that the total is supplied by the triangle's closing side, can be used to calculate the vector's outcome.
Option C is the proper response, thus.
To know more about vector visit:
https://brainly.com/question/30202103
#SPJ1
Look at image to answer
Answer:
Answer is 600!
Step-by-step explanation:
Maria had lunch at a restaurant. If the bill was $12.25 and Maria wants to leave a 20% tip, what is a reasonable estimate for the amount she should leave for tip?
Please explain how you got the answer
Answer: $2.45
Step-by-step explanation:
An easy way to find the correct tip is to learn what 20% of 12.25 is
Let's convert the percentage to a decimal by moving the decimal point two spaces to the left. Now we have .2
.2 X 12.25 = 2.45
2.45 is 20% of 12.25