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Explanation:
Let's see if we can find a pattern where we divide powers of 3 over 30
In other words, let's see if we can find a pattern for (3^n)/30 where n is a natural number {1,2,3,4,...}
We only care about the remainders so ignore the quotients.
This is the pattern of remainders:
3^1 = 3. When divided over 30, we get remainder 3.3^2 = 9. When divided over 30, we get remainder 9.3^3 = 27. When divided over 30, we get remainder 27.3^4 = 81. When divided over 30, we get remainder 21.3^5 = 243. When divided over 30, we get remainder 3.3^6 = 729. When divided over 30, we get remainder 9.We see the pattern repeating again after we get to remainder 3 a second time. The pattern of remainders is {3, 9, 27, 21} which repeats forever.
The length of this cycle is 4. So what we do is divide the exponent by 4 to see what the remainder is. For instance, both 1 and 5 lead the same remainder when we divide by 4. This tells us 3^1 and 3^5 lead to the same remainder as shown in the pattern above.
Similarly, 3^2 and 3^6 lead to the same remainder. These items are spaced exactly four units apart, which is the length of the cycle.
For the exponent 2020, we get 2020/4 = 505 remainder 0
Having a remainder 0 is the same as having remainder 4, when dividing by 4.
So we'll be looking in the fourth slot of the cycle {3,9,27,21} to see the answer is 21.
Dividing 3^2020 over 30 leads to a remainder of 21.
Evaluate the function for X = -2, 0, and 5.
f(x) = -5x + 2
f(-2) =
f(0) =
f(5) =
Pls help meit would mean everything!!!!
Answer:
f(-2) 12
f(0) 2
f(5) -23
Lori bought a shirt and a hat at a half off sale and she spent a total of 21$ if the shirt was originally 24 how much was the original price of the hat
Step-by-step explanation:
$21
Let the amount Lori bought the shirt and the hat be $x, if she bought them at half off sale, the initial price of both item will be 2 × $x
If she spent $21 on both items, the initial price will have been 2 x $21 = $42 where x is $21
Original price of the hat and shirt is therefore $42. Since both are on half off sale, the initial price is the hat will be $42/2 = $21
Five pounds of bananas cost $2.95. At the same rate, how much do 3 pounds of bananas cost?
Group of answer choices
C. $1.77
A. $0.59
B. $ 0/98
D. $5.08
Help me please .........:::
2. In the figure below, E is the midpoint of QT and QW - TR.
Which additional condition WOULD be sufficient to prove that AQWE = ATRE?
A)EQ=ER
B) ET=RT
C) don’t pick this one
D)
Answer:B
Step-by-step explanation:
What’s the given m ABC = 70 and m ADC = 46
Answer:
Step-by-step explanation:
Properties of a kite;
1). A kite has one pair of equal angles.
2). A kite has two pairs of adjacent sides.
3). Diagonals of a kite intersect at 90°.
4). Kite has at least one diagonal that bisects the opposite angles.
It's given in the question,
m∠ABC = 70° and m∠ADC = 46°
By the property number -4,
m∠2 = m∠3 = [tex]\frac{70}{2}[/tex] = 35°
m∠8 = m∠9 = [tex]\frac{46}{2}[/tex] = 23°
By the property number - 3,
m∠4 = 90°
By the property of interior angles in a triangle,
m∠3 + m∠4 + m∠5 = 180°
35° + 90° + m∠5 = 180°
125° + m∠5 = 180°
m∠5 = 55°
Similarly, m∠1 + m∠2 + 90° = 180°
m∠1 + 35° + 90° = 180°
m∠1 = 55°
Now m∠6 + 90° + m∠8 = 180°
m∠6 + 90° + 23° = 180°
m∠6 = 180 - 113 = 67°
Therefore, m∠6 = m∠7 = 67°
The values of all 9 angles shown were found using the property of a kite they are:
∠1=55°
∠2=35°
∠3=35°
∠4=90°
∠5=55°
∠6=67°
∠7=67°
∠8=23°
∠9=23°
What are the characteristics of a kite?One pair of equal angles, two pairs of equal adjacent sides, diagonals intersect at a right angle.
∠1=∠6 because AB=AC
∠6=∠7 because AD=DC
∠2=∠3 because triangle ABC is a combination of two congruent triangles.
∠8=∠9 because triangle DAC is a combination of two congruent triangles.
∠4=90°diagonals intersecting at the right angle.
It is given that
∠2+∠3 = 70°
Since they are equal so ∠2=∠3=35
∠8+∠9 = 46°
Since they are equal so ∠8=∠9=23°
∠5 = 180-∠3-∠4 = 180-35-90=55°
Similarly, ∠1 = 55°
∠6+∠7 = 180-∠8-∠9 = 180-46 = 134°
Since they are equal
∠6=∠7 = 67°
Therefore, all 9 angles were calculated using property of a kite.
∠1=55°
∠2=35°
∠3=35°
∠4=90°
∠5=55°
∠6=67°
∠7=67°
∠8=23°
∠9=23°
To get more about kites refer to:
https://brainly.com/question/16424656
HELP ASAP WILL MARK BRAINLEST!!!!!
Answer:
THE ANSWER IS 45 thank me later!!!
Step-by-step explanation:
PLEASE HELP FAST WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angles.
(12x +12)° = 79° +(5x+3)°
7x = 70 . . . . . . . . divide by °; subtract 12+5x; collect terms
x = 10 . . . . . . . . divide by 7
Which of the following graphs shows a proportional relationship?
PLEASEEEEE HELP MEE
Answer:
the second one
Step-by-step explanation:
Answer:
the second one i think sorry if im wrong
Step-by-step explanation:
Plz help ASAP need problem quickly thx
Answer:
A
Step-by-step explanation:
2(3) + (3) = 9
3(3) - 2(3) = 3
Brainly Meme inspired
Answer:
Bro this is sooooo true I hate when this would happen like I spent the whole day looking at the screen just so it can say "oh your question has been deleted" Like why do you have to do this too me *sigh*
Step-by-step explanation:
Never rely on brainly :(
A class of 25 students share a set of 100 markers.
Which statement is true?
For every 5 students, there is 1 marker.
For each student, there are 5 markers.
For every 4 students, there is 1 marker.
For each student, there are 4 markers.
Answer:
It should be D, For each there are 4 markers.
Step-by-step explanation:
Given: there are 100 markers and 25 students
So each student, there are 4 markers.
4 x 25 is 100
Therefore the answer is D.
Claire walked her dog 2 1/5 miles. Carson walked her dog 1 3/4 times as far as Claire did. How many more miles did Carson walk her dog than Claire?
The word "times" means you have to multiply.
2 1/5 times 1 3/4 is 3 17/20.
The phrase "how many more" means you have to subtract.
3 17/20 minus 2 1/5 is 1 13/20.
Carson walked her dog 1 13/20 more miles than Claire did.
Sorry for the lazy explanations Imao
"Calcular el área sombreada en la gráfica, utilizando la suma de áreas de rectángulos, recuerda entre más rectángulos más exacta será el área"
Ayuda por favor :(
Answer:
I'm not sure, but is it 2?
Step-by-step explanation:
HELP ASAP AGAIN PLSS!!!!! MAKRING BRAINLIST!! MATH!
Answer:
200 I think I'm not entirely sure
Answer:
200
Step-by-step explanation:
if one inch=40 miles, and we want to find 5 inches, we can solve 5*40, which equals 200
How many solutions are in each box
Answer:
H=Hyperbola
L=line
C=circle
P=Parabola
First letter is top one:
HL=0, 1, 2
LP=0, 1, 2
LC=0, 1, 2
LH=0, 1, 2
PP=0, 1, 2, INFINTELY MANY
PC=0, 1, 2,
PH=0, 1, 2, 3
CP=0, 1, 2
CC= 0, 1, 2, INFINITELY MANY
CH=0, 1, 2, 3, 4
HP=0, 1, 2, 3
HC=0, 1, 2, 3, 4
HH=0, 1, 2, 3, 4, infinitely many
What is the length of the rectangle? yards
Answer:
The length of the rectangle is 17 yards and the width of the rectangle is 14 yards.
Explanation:
To find the perimeter of the rectangle, you had to add twice the length of the rectangle to twice the width of the rectangle since the shape of a rectangle is made up of two legs (each representing the rectangle's length) and two legs (each representing the rectangle's width.
The perimeter can be mathematically seen as p = 2l+2w, where p is the amount corresponding to the perimeter of the rectangle, l is the amount representing the length of the rectangle, and w is the quantity reflecting the width of the rectangle. This equation can be modified using the equation l = w+3, since it is given that the length is 3 yards longer than the width.
Therefore, the p = 2l+2w equation can be modified to solve for w using the given conditions and the equation defining l.
p = 2l+2w
p = 2(w+3)+2w [Substituting l = w+3]
p = 2w+6+2w
p = 4w+6
p-6 = 4w+6-6
p-6 = 4w
(p-6)/4 = 4w/4
w = (p-6)/4
w = (62-6)/4
w = 56/4
w = 14
Now the length of the rectangle can be determined using the equation l = w+3.
l = 14+3 = 17
Hope this helps Also Plz mark brainliest:)
What theorem can be used to prove the triangles below are congruent?
Answer:
c)sas
Step-by-step explanation:
simplify ² + 3 + 2x² + 4 - x
i can't get it correct, I've been at this question for awhile.
Answer:
30
Step-by-step explanation:
8. Two pedestrians walk from opposite ends of a city block to a point on the other side of the street.
The angle formed by their paths is 125 degrees. One pedestrian walks 300 ft and the other walks
320 ft. How long is the city block to the nearest foot?
Answer: 135.606 m
Step-by-step explanation:
Try using the law of cosine because if you draw the picture of the triangle out then you see it’s a SAS triangle
so in this case:
C squared equals 320 squared plus 300 squared minus 2 times 320 times 300 times cosine 25
Plz Help !!!!!!!!A line goes through the points (7, 3) and (–1, 5). Write the equation of the line in slope-intercept form. Show your work for full credit. (How did you go from those two points to having the equation in slope-intercept form? Or, how did you go form having the equation in point-slope form to slope-intercept form?) Circle your answer.
Answer:
1/-4 Rise over run. So 1 would be your rise then the 4 is negative you would fall down 4.
Step-by-step explanation:
Well you would have to do the equation y2-y1 over x2-x1. You go from having two points to having it in sloe-intercept form becuase of your equation y2-y1 over x2-x1.
HELPP ASAP WILL MARK BRAINLEST!!!!
What is an equivalent expression for 3x+5x-1
Answer:
8 x - 1
Step-by-step explanation:
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).
(HOW DO YOU SOLVE EQIVALENT EXPRESSIONS)
Answer:
8x-1
Step-by-step explanation:
3x+5x=8x
8x-1
You add up the numbers that have the same variables, then add the extra numbers to numbers you solved.
Kerri and James practiced for the school track meet. Kerri completed 8 laps in 16 minutes. If James ran at the same rate, how many minutes did it take him to run 5 laps? Use the tape diagram shown.
Answer:
it took him 10 mintues to run 5 laps
Step-by-step explanation:
A cone has a radius of 5 cm and a height of 9 cm. What is the volume of the cone to the nearest whole number? Use 3.14 for pi.
Answer:
235or 236
Step-by-step explanation:
A cone has a radius of 5 cm
a height of 9 cm
Volume of cone =1/3πr^2h
=1/3×3.14×5×5×9
= 3.14×25×3
=3.14×75
=235.5
=235or 236 is the answer
No clue how to do this one, pls help
"A base of the right solid has an area of 45 ft^2. The height of the right solid it 10 ft. Find the volume of the right solid."
Answer:
I dont know but example
Step-by-step explanation:
A cubic foot is a cube with a side length of one foot.
We know that, 1 foot = 12 inches.
So, 1 cubic foot is a cube with side length 12 inches.
You can use the formula for the volume of a prism, V=bwh , to convert cubic units.
Since 1 foot = 12 inches, replace b , w , and h with 12 .
V=(12)(12)(12) =1,728
So, 1 cubic foot is equal to 1,728 cubic inches.
Answer: 450^3
Step-by-step explanation: To find the volume of something multiply the base and height. So just do 45x10. And don't forget to put ^3 at the end of your answer because you're finding volume.
What is the expanded form of this expression?: 4(1/4a + b – 6)
Answer:
Step-by-step explanation:
4(1/4a) + 4b - 24
1/a+4b-24
HELPPP ASAP WILL MARK BRAINLEST!!!
Answer:
Its 19 (a)
Step-by-step explanation:
Mark brainlest please
solve for x
pls show work
Answer:
NO, I AINT SHOWIN NO WORK-
DO YOUR OWN WORK!!!!! GOSH!!!!
Step-by-step explanation:
Answer:
I am sorry i don't know it or i would give it to you
Step-by-step explanation:
2(x + 1 ) - 3(x + 5) ≥ 0
pls help
Answer:
x≤−13
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable
