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
5x+3=23
what is the answer?
Answer:
4
Step-by-step explanation:
Sub both sides by 3 then describe 20 by 5.
What’s the solution for b/2= 9
Answer:
18
Step-by-step explanation:
2 x 9 = 18
b = 18
Solve for b by simplifying both sides of the equation, then isolating the variable.
There's so many numbers in this one shape I'm confused ._.
Answer:
12 [tex]units^{2}[/tex]
Step-by-step explanation:
All you have to do is do each shape then add them all up
small triangle:
a = b * h/2
a = 2 * 2/2
a = 4/2
a = 2
The area for the small triangle is 2
Sqaure:
a = b*h
a = 2*2
a = 4
The area for the sqaure is 4
Large triangle:
a = b*h/2
a = 6*2/2
a = 12/2
a = 6
The area for the larger square is 6
Now we add up all of the areas
2 + 4 + 6 = 12
The area for that shape is 12 [tex]units^{2}[/tex]
Hint: We divide by 2 for the triangles bc it's half a shape not a full rectangle of square...
Hope this helped!
In ΔTUV, the measure of ∠V=90°, VT = 45 feet, and TU = 90 feet. Find the measure of ∠T to the nearest degree.
Answer:
60 on delta math
Answer:
60
Step-by-step explanation:
delta math answer
HELP ASAP i need rest
Answer:
A
Step-by-step explanation:
To know the distance between the two on a number line, we subtract both numbers from each other
Since the absolute value will give the same result irrespective of the number we used first, we can see that it is the first option that would give the needed results
This means that option A is our answer
y 2 - x +4
x+y<0
someone plz help me
i need help on math
Answer:
its multiply by 2
Given R'S'T'U' is a dilation of RSTU, find the scale factor of dilation.
Answer:
The scale factor of a dilation is 3.
Step-by-step explanation:
Given the length ST of the rectangle RSTU
The length ST of the rectangle = 8 units
It is clear that the corresponding length S'T' = 23 is 3 times the length of the original length ST = 8
i.e.
S'T' = 3(ST)
S'T' = 3(8) ∵ ST = 8
S'T' = 24
It indicates that the RSTU has been dilated by a scale factor of 3.
As the scale factor 3 > 1, it also indicates that the dilated rectangle R'S'T'U is enlarged.
Therefore, the scale factor of a dilation is 3.
if I got exactly 3 days to pay rent and I have no money how and what da F ima do yoooo pls help a boy out my guy
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).
select all the fractions that are equivalent to each other
Answer:
When fractions have different numbers in them, but have the same value, they are called equivalent fractions.
Step-by-step explanation:
Let's take a look at a simple example of equivalent fractions: the fractions ½ and 2/4. These fractions have the same value, but use different.
April wants to multiply 6 and 42 using the distributive property. Which of the following number sentences shows how
she could do it?
06x42 = 42 x6
06x(40+2) =(6x 40) + 2
O(6x42) x1=6x (42 ×1)
06x(40 +2) = (6x 4o) + (6
2)
Answer:
I'm pretty sure the answer is the last one;
6 x (40+2) = (6 x 40) + (6 x 2)
The 6 is distributed to the 40 and the 2
solve the system of linear equations 2x + 3y =16.9
5x =y + 7.4
Answer:
y = 23.4
Step-by-step explanation:
yeahhhh
2x + 4 / 3 = -8 please help
Answer:
X= -14/3
Step-by-step explanation:
Subtract \frac{4}{3}
3
4
from both sides.
2x=-8-\frac{4}{3}
2x=−8−
3
4
2 Simplify -8-\frac{4}{3}−8−
3
4
to -\frac{28}{3}−
3
28
.
2x=-\frac{28}{3}
2x=−
3
28
3 Divide both sides by 22.
x=-\frac{\frac{28}{3}}{2}
x=−
2
3
28
4 Simplify \frac{\frac{28}{3}}{2}
2
3
28
to \frac{28}{3\times 2}
3×2
28
.
x=-\frac{28}{3\times 2}
x=−
3×2
28
5 Simplify 3\times 23×2 to 66.
x=-\frac{28}{6}
x=−
6
28
6 Simplify \frac{28}{6}
6
28
to \frac{14}{3}
3
14
.
x=-\frac{14}{3}
x=−
3
14
16 cm
+
B
11 cm
4 cm
Answer:
31
Step-by-step explanation:
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
The sum of the ages of the father and the mother is
60 years and the sum of the ages of their three
children is 15 years. Find the average age of the
members of the family.
Answer:
The average age would be 45.
Step-by-step explanation:
!!!URGENT!!! ANSWER QUICK I WILL GIVE BAINLIEST TO RIGHT ANSWER
Answer:
25/9 = 2 7/9 = 2.7777777778
Step-by-step explanation:
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
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.
3x + 9 = x + 5 Two sided equations
Answer:
x=-2
Step-by-step explanation:
Let's solve your equation step-by-step.
3x+9=x+5
Step 1: Subtract x from both sides.
3x+9−x=x+5−x
2x+9=5
Step 2: Subtract 9 from both sides.
2x+9−9=5−9
2x=−4
Step 3: Divide both sides by 2.
2x /2=-4/2
x=−2
please I need this quick
Answer:
the answer is
10cm.9cm.9cm
Answer:
13 cm, 7 cm, 6 cm
Step-by-step explanation:
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
What are the domain and the range of this function
Answer:
D: {1,-5}
R: {7,-4}
Step-by-step explanation:
Answer this question ASAP for points and Brainliest!
Step-by-step explanation:
[tex] \frac{1}{5} (10 - 15u) = 2 - 3u[/tex]
What 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;)
what is the equation of the line that passes through the point (-2,-2) and has a slope of 4
Answer:
y=4x+6
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
What is the measure of EFG in O0 below?
GE=60
EFG=360-60=300
:)