Here are the first four terms of some sequence.
1/2 , 4/3 , 9/4 , 16/5
Find the nth term of this sequence
Answer:
The nth term of the sequence will be: n²/n+1
Step-by-step explanation:
Given the sequence
1/2 , 4/3 , 9/4 , 16/5
The values in the numerator are:
2, 3, 4, 5
It is clear that every successive value in the numerator can be determined by adding 1 to the previous value.
i.e.
3 = 2+1
4 = 3+1
5 = 4+1
Thus, the nominator contains the sequence rule: n+1
The values in the denominator are:
1, 4, 9, 16
It is clear that every value in the denominator is the square of the sequence number.
i.e.
1 = 1²
2 = 2²
3 = 3²
4 = 4²
5 = 5²
so
The denominator defines the rule n².
Thus, the nth term of the sequence will be: n²/n+1
My wife however did bake cookies this year 40% of the cookies she baked chocolate chip if she baked 36 chocolate chip cookies how many total cookies does she bake
Answer:
The total number of cookies is 90
Step-by-step explanation:
As, they said 40% of the total number of cookies is 36, we will take the total as "x"
= 40% of x = 36
40/100 X x = 36
40x = 36 x 100
40x = 3600
x = 3600/40
x = 90
So total cookies she baked = 90
Let's check!
So 40% of 90 need to be 36
So,
40/100 x 90 = 3600/100
= 36
So therefore, total number of cookies = 90
Evaluate \dfrac p4 +pq
4
p+pqstart fraction, p, divided by, 4, end fraction, plus, p, q when p=8p=8p, equals, 8 and q=6q=6q, equals, 6.
Answer:
4
Step-by-step explanation:
Answer:
its 50
Step-by-step explanation:
Carlos is making three cakes. One cake requires 3/4 of a cup sugar. How much sugar will he need to make all three cakes?
A. 3
B. 9/12
C. 2 1/4
D. 4
Answer:B.9/12
Step-by-step explanation:
Answer:
2 1/4 cups
Step-by-step explanation:
3/4 is for one cake, if Carlos is making 3 times that amount of cakes, Carlos needs three times the amount of sugar. So, our equation is:
3/4 x 3 = 9/4
9/4 = 2 1/4 or 2.25
So, Carlos needs 2 1/4 cups of sugar for 3 cakes
I HAVE 2 MINS TO FINSIH PLZ HELP
Answer:
The answer is 45
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
5(3)^2
1. Simplify the rational expression (5 3/2)(5 1/2)
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{5 \dfrac{3}{2} \times 5\dfrac{1}{2}}[/tex]
[tex]\mathsf{= \dfrac{5\times2+3}{2}\times\dfrac{5\times2+1}{2}}[/tex]
[tex]\mathsf{= \dfrac{10 + 3}{2}\times\dfrac{10 + 1}{2}}[/tex]
[tex]\mathsf{= \dfrac{13}{2}\times\dfrac{11}{2}}[/tex]
[tex]\mathsf{= \dfrac{13\times11}{2\times2}}[/tex]
[tex]\mathsf{= \dfrac{143}{4}}[/tex]
[tex]\mathsf{= 35 \dfrac{3}{4}}[/tex]
[tex]\huge\textsf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{= 35 \dfrac{3}{4}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Can someone solve these 1.) 4 + c =6
2.) x -7 =13
3.) 7c = 21
4.) x/5 = 9
Please and thanks u :)
Answer:
1. c=1
2. x=20
3. c=3
4. x=40
Step-by-step explanation:
Hope this helps, lemme know if you need this explained (:
Which number is a factor of 24 but not a multiple of 12
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
I hope it's right uwuwuwu
Andrea and her friends love cake. Andrea has two cakes. Each of her friends is going to eat 2/3 of a cake. How many friends can Andrea serve cake to? Answer without units. *
Answer:
3
Step-by-step explanation:
2 / (2/3) = 2 * 3/2 = 6/2 = 3
Please help :( I can't figure out the answer to this
What decimal is equivalent to 4/15
Answer:
0.2667 is the decimal for this
Answer:
0.2bar6
Step-by-step explanation:
The decimal form of 4/15 is 0.2bar6. Divide the numerator by the denominator. 4/15= 0.2666...= 0.2bar(6) In the United States, the repeating decimal is represented with a bar above the repeating decimal.
Help me please.........
Answer:
The one on the top right side
Step-by-step explanation:
A graph with a negative slope is a graph that "decreases" in y value when the x values "increases".
I'm the top right graph, the y value changes from 8 to 6, the x value changes from 0 to 4.
Also if you trace the 1 on the x axis upward until it touches the graph , you'll see that , that's where you'll see the 6 on the y axis. That's why The graph passes through (1,6).
If f(x) = 3x+ 2 and g(x) = x^2 + 1 , which expression is equivalent to (f•g)(x)
Answer:
f(x) = 3x + 2g(x) = x^2+1Step-by-step explanation:
(f.g)x =substitute value of g(x) to the (x) terms in f(x) formulaf(gx)= 3(x^2+1)+2fg(x)= 3x^2 + 3 + 2 3x^2 + 5What is the greatest common factor of the polynomial below?
16x^2-12x
A. 4x
B. 4x^2
C. 8x^2
D. 8x
Answer:
C
Step-by-step explanation:
but i think its the answer;)
Can somebody help me. Will mark brainliest.
PLS HELP ME W/ #8 ASAP
Answer:
x=2
TU:4(2)-1=7
UB: 3
TB: 10
Step-by-step explanation:
4x-1+2x-1=5x
6x-2=5x
6x=5x+2
subtract 5x from both sides
x=2
TU: (4x-1)
4(2)-1
8-1
7
TU:4(2)-1=7
UB: (2x-1)
2(2)-1
4-1
3
UB: 3
TB: 5(2)
TB: 10
What is the volume of the cuboid?
Answer:
180cm
Step-by-step explanation:
4cm*5cm*9cm=
Answer:
180
Step-by-step explanation:
Length=9cm
Height=5cm
Width=4cm
So,
9cm×5cm×4cm
=9cm×20cm
=180cm³
Need help plz
Name all the corresponding congruent angles and sides.
Then, complete the triangle congruence statement.
Answer:
Z
y
x
Step-by-step explanation:
zy
xz
xy
is 1/2, 3/4, 1, 5/4, 3/2 an arithmetic sequence
Answer:
you can check it out yourself by
3/4-1/2=5/2
if it is the same thing as
3/2-5/4=-7/2
it is not an arithmetic sequence
5x+3=23
what is the answer?
Answer:
4
Step-by-step explanation:
Sub both sides by 3 then describe 20 by 5.
How many 6-ounce bottles can mr.Phillip fill with 64 ounces of blue 12 ounces of yellow and 32 ounces of white
Answer: 18 bottles
Step-by-step explanation:
To solve the above question, we have to add the total number of ounces. Thai will be:
= 64 + 12 + 32
= 108 ounces
We then divide 108 ounces by 6 ounces . This will then be:
= 108 ounce / 6 ounces
=18 bottles
In ΔRST, the measure of ∠T=90°, ST = 71 feet, and RS = 94 feet. Find the measure of ∠S to the nearest tenth of a degree.
Answer:
40.9
Step-by-step explanation:
In ΔRST, the measure of ∠T=90°, ST = 71 feet, and RS = 94 feet. Find the measure of ∠S to the nearest tenth of a degree.
can someone help me on this one too?
Answer:
f(6) = 82
Step-by-step explanation:
f(x) = 2x^2 + 5√(x-2)
f(6) = 2(6)^2 + 5√(6 - 2)
f(6) = 2(36) + 5√4
f(6) = 72 + 5(2)
f(6) = 72 + 10
f(6) = 82
The fraction 9/7 is not a proper fraction.
true or false
Answer:
true.
Step-by-step explanation:
its an improper fraction!! have a great day :)
Answer:
true.
Step-by-step explanation:
6th grade math help me pozzzz
Answer:
t= -9/10= -0.900
Step-by-step explanation:
Solve the equation.
5/6 R = 1/6
Answer:
r = 1/5 or 0.2
Step-by-step explanation:
5/6r = 1/6
Divide everything by 5/6
6/30 simplified is 1/5.
!!!URGENT!!! ANSWER QUICK I WILL GIVE BAINLIEST TO RIGHT ANSWER
Answer:
25/9 = 2 7/9 = 2.7777777778
Step-by-step explanation:
hi people here hi hi oya
Answer:
Hi How are you doing today???
Answer:
Hello there, how are you doing?
Step-by-step explanation:
HELP PLEASE
3. (03.08)
Solve - 2x2 + 3x - 9 = 0. (2 points)
3+3717
4
3(+-)917
X=
O-3+3/17
X=
4
-3917
X=
4
it has no solution, because the D is negative
Answer:
A.
[tex]\frac{3 + - 3i \sqrt{7}} {4} [/tex]
Step-by-step explanation:
i don't know how to write it out the steps on the phone but I got it correct on the test.
What is the measure of Angle HEG?
Answer:
angle HEG = 12 degrees
Step-by-step explanation:
A line is 180 degrees. Since there is a right angle there, you know that angleHEG and 78 added together is 90degrees
x + 78 = 90 >> subtract 78 from both sides
x = 12
angle HEG = 12 degrees
Answer:
18 degrees
Step-by-step explanation:
There is a little box on the left that indicates both angles together make a 90 degree angle so you just have to do 90 - 78 to get the answer.