Answer:
The first term in the sequence is odd-valued and so there are m choices for it.2020 Gauss Contest Solutions Page 19
The second term in the sequence is even-valued and so there are m − 1 choices for it.
Thus, there are a total of m × (m − 1) FT sequences that begin with an odd-valued term
followed by an even-valued term.
Finally, we consider the FT sequences that begin with an even-valued term followed by an
odd-valued term (Parity #4).
Again, there are exactly twice as many odd-valued terms as there are even-valued terms in the
first 2019 terms (since the pattern repeats even, odd, odd).
However in this case, the 2020th term is even and so there are fewer than twice as many odd valued terms as there are even-valued terms.
Thus, there are m2 + m × (m − 1) FT sequences that satisfy the required conditions.
Since there are 2415 such FT sequences, we may solve m2 + m × (m − 1) = 2415 by trial and
error.
Evaluating m2 + m × (m − 1) when m = 30, we get 302 + 30 × 29 = 1770, and so m is greater
than 30.
When m = 33, we get 332 + 33 × 32 = 2145.
When m = 34, we get 342 + 34 × 33 = 2278.
When m = 35, we get 352 + 35 × 34 = 2415, as required.
Answer: (D)
Step-by-step explanation:
Please help me! Thank you!
On a certain day, the temperature in Seattle was -5° and the temperature in Houston was 10°. How many degrees lower was the temperature in Seattle?
Answer:
15 degrees lower
Step-by-step explanation:
When you are trying to find the difference between a negative and positive number, add both numbers and you will get the difference. In this case it was 15.
Sorry, math isn't my strongest suit, but i hoped this helped!
A circle has an area of in2. If it is dilated by a scale factor of 5/4, what is the area after dilation
The question is incomplete, let's take an hypothetical value for the Area of the circle ;
Let the are aid the circle = x in²
Answer:
Kindly check explanation
Step-by-step explanation:
The scale factor = 5/4
The initial area of square = x in²
The area of the circle after dilation will be :
Scale factor * initial area of circle
5/4 * x in²
Area after dilation = 5/4(x) in²
Just substitute the original value of the square for X in the solution to obtain the exact answer.
At a water park, 4 out of 20 tickets sold were child tickets. What percentage of the tickets were child tickets?
Answer:
20%
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
Hurry this is due in 45 minutes! I need help
Answer: B
Step-by-step explanation:
18%/38%= about 47%
What is the inverse of the function
f(x)
19
13?
OA-110) =
319
OB. 5-1,5) =
19
T
319
Oc. 9-17)
OD. 1-16x) = leven
Answer:
A is correct ..............
In a piggy bank, the number of nickles is 8 more than half the number of quarters. The value of the coins is $21.85. Determine the number of nickels.
Answer:
The number of nickels is 47
Step-by-step explanation:
1 nickel is 5 cents while 1 quarter is 25 cents
let the number of nickels be n and the number of quarters be q
From the question;
the number of nickels n is 8 more than half the number of quarters (q/2)
n = q/2 + 8
(n-8) = q/2
q = 2(n-8) = 2n - 16 ••••(i)
let us convert $21.85 to cents
there are 100 cents in $1
Thus; $21.85 will be 21.85 * 100 = 2185 cents
1 nickel is 5 cents; so n nickels will be 5 * n = 5n cents
1 quarter is 25 cents; so q quarters will be 25 * q = 25q cents
The addition of both will give 2185 cents
Thus;
5n + 25q = 2185 ••••••(ii)
Substitute equation i into ii
5n + 25(2n-16) = 2185
5n + 50n - 400 = 2185
55n = 2185 + 400
55n = 2,585
n = 2,585/55
n = 47 nickels
How do you know if something is congruent? (scale Factors)
example: Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal.
Answer:
Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal. Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the congruent figure on the right.
Step-by-step explanation:
PLEASE HELP ME!!!!! #4,5!!!!
Answer:
4a) 9n - 3
4b) n = 11
Step-by-step explanation:
3(3n - 1)
9n - 3
9n - 3 = 96
9n - 3 + 3 = 96 + 3
9n = 99
9n ÷ 9 = 99 ÷ 9
n = 11
1. On a scale drawing with a scale of 1 in to 25 feet, the height of a building is 8 inches on a
drawing. How tall is the actual building?
A. 200ft
B. 200in
C. 20ft
D. 20in
Answer:
A
Step-by-step explanation:
You multiply 8 and 25
The area of a rectangular carpet is 96 square feet. The length of the carpet is 12 feet. What is the width of the carpet?
A. 8 feet
B. 12 feet
C. 24 feet
D. 36 feet
Answer:
A. 8 feet
Step-by-step explanation:
96 = 12 (x)
96/12 = x
8 = x
URGENT!!! I’LL GIVE BRAINLIEST ANSWER
Answer:
a
Step-by-step explanation:
Answer:
A. QRP≅UTV
Step-by-step explanation:
Q is congruent with U.
R is congruent with T.
P is congruent with V.
Let me know if that helps!
Quickly please I can't answer it and I'm running out of time
(rounded by the nearest tenth .79>.8)
Formula:
A=2⋅π⋅r⋅h+2⋅π⋅r^2
Equation:
2⋅ 3.14⋅ 5.3⋅ 5.6+ 2⋅ 3.14⋅ 5.3^2 =362.8 m^2( -1)×(-1)×(-1) 5 times equal to
I think the answer is -5.
HELP ASAP PLEASE!!!!!! No links! Explanation please!!! Brainliest to whoever answers first!
would 1, 2, 5, form a right angle
The table shows the heights of students in a group
Student Height (in inches)
49
47
46
45
53
What is the mean height of the students in the group?
46 inches
48 inches
51 inches
53 inches
Answer:
The guy above me is wrong but I know the correct answer and the correct answer is 46 and you get this by adding all your numbers together then dIvide the number that you got by however many numbers you added together and that is how you get 46
PLEASE GIVE BRAINLIEST
Step-by-step explanation:
The length of the sides of a triangle is given. Determine
whether or not the triangle is right, acute, or obtuse.
6, 8, 10
a Right
b Acute
Obtuse
Answer:
The triangle is a right triangle
Step-by-step explanation:
For the triangle to be right, Pythagoras’ theorem must be obeyed
According to the theorem, the square of the longest side (the hypotenuse) equals the sum of the squares of the two other sides
Now, from the given side lengths, the highest value is 10;
squaring this, we have 10^2 = 100
Squaring and adding the other values, we have
6^2 + 8^2 = 36 + 64 = 100
This mean the values are equal and the Pythagoras’ theorem is obeyed
Hence, we can conclude that the triangle with the given side lengths is a right triangle
What is the slope of the line?
PLZ HELPPP
What is the radius of a cylinder that has a volume of 500 fts and that is 10 ft tall?
Answer:
4ft
Step-by-step explanation:
500=pir^2h
r^2=500/(10*pi)
r=3.989ft
us
Complete the square
to find the vertex
of this parabola.
x2-14x+4y+29=0
( , )
Answer:
y=3x+29
Step-by-step explanation:
4y=12x+29
4y/4=12x+29/4
y=3x+29
Answer:
(7,5)
Step-by-step explanation:
Hailey saved up $357.45 in her Piggy Bank. She decided that she wanted to use $97.99 to buy Roller skates and $50.00 to buy the Glow In the Dark flashing wheels. How much money will Hailey have leftover?
Answer:
209.46
Step-by-step explanation:
subtract $357.45, $97.99, and $50 and
you'll get $209.46
17 and 18 please no links
Answer:
17) 135 degrees
Step-by-step explanation:
An octagon contains six triangle, or 1080 degrees, meaning each angle is 135 degrees.
Step-by-step explanation:
1. an octagon contain 6 triangles or 1080 degrees this means with 8 angles each angle is 135 degrees
Which set of tokens represents 0?
Positive
Negative
Pls helpp!!
Answer:
C.
represent 0
hope it helps
How many meters are equal to 4,581 centimeters? Use how the placement of the decimal point changes when dividing by a power of 10 to help you.
Answer:
Step-by-step explanation:
How many meters are equal to 4,581 centimeters?
100cm = 1m
4581 cm = x
Use how the placement of the decimal point changes when dividing by a power of 10 to help you
The original price of concert tickets is $100.00. If there is a discount of 21%, what is the sale price?
Answer:
its 100 so it would literally just be 100 - 21
Step-by-step explanation:
Solve the following equation using the quadratic formula.
3x^2+7x+8=6
Choose the measure that best represents the data. Explain your reasoning.
12, 15, 16, 18, 20, 90
What does A equal?
What does A equal?
Please answer both of the question!!
Answer:
5. 32,000
6. 0.006
Answer:
1=d
2=D
Step-by-step explanation:
Calculating permutations can be used in all of following except _____.
seating arrangements at a wedding
survey results
assisting computer programmers
placing items into a display
Answer:
Option C,
Calculating permutations can be used in all of following except assisting computer programmers
Step-by-step explanation:
Permutations is basically used in cases where there is some sort of patterning involved in it.
In case of seating arrangements at a wedding, survey and placing items into a display some kind of pattern will be followed.
Hence, option C
Answer:
survey results
Step-by-step explanation:
I got it right