A sequence starts from -2. The term to term rule is 'square and subtract 3' find the first six numbers of the sequence
Answer:
The first six numbers are [tex]-2,1,-2,1,-2,1[/tex]
Step-by-step explanation:
First term is [tex]-2[/tex]
The term to term rule is 'square and subtract [tex]3[/tex]'
Second term[tex]=(-2)^{2} -3=1[/tex]
Third term[tex]=(1)^{2} -3=-2[/tex]
Fourth term[tex]=(-2)^{2} -3=1[/tex]
Fifth term[tex]=(1)^{2} -3=-2[/tex]
Sixth term[tex]=(-2)^{2} -3=1[/tex]
The first six numbers are [tex]-2,1,-2,1,-2,1[/tex]
how to solve x^2+x-90=0 in completing the square method
Rearrange the equation by writing
x² + x - 90 = 0
x² + x = 90
x² + x + 1/4 = 90 + 1/4
Recall that (a + b)² = a² + 2ab + b². Then
x² + 2 • x/2 + (1/2)² = 361/4
(x + 1/2)² = 361/4
x + 1/2 = ± √(361/4)
x = -1/2 ± 19/2
x = 9 or x = -10
I'm having trouble solving this:
Corry collects cube containers. She fills them with water and pours them into a rectangular prism. She was playing with them and discovered something interesting. She had three cube containers. One cube was 1 inch by 1 inch by 1 inch. A second cube was 2 inches by 2 inches by 2 inches and a third cube was 3 inches by 3inches by 3 inches.
She filled all three with water. Then Corry poured all three cubes into a rectangular prism filling it exactly! The rectangular prism has a square base with a side length (1+2+3 = 6) inches and the height is 1 inch.
Corry wonders whether she has found a pattern. Investigate using more cube containers to fill square base prisms with heights of 1 in. Describe any conjectures you discover.
Corry's conjecture is right, and the volume follows a pattern
The volume of a cube of side length l is:
[tex]V = l^3[/tex]
For the first cube of length 1 in, the volume is:
[tex]V = 1^3[/tex]
[tex]V = 1[/tex]
For the second cube of length 2 in, the volume is:
[tex]V = 2^3[/tex]
[tex]V = 8[/tex]
For the third cube of length 1 in, the volume is:
[tex]V = 3^3[/tex]
[tex]V = 27[/tex]
So, the total volume is:
[tex]Total =1 + 8 + 27[/tex]
[tex]Total =36[/tex]
The volume of a rectangular prism of base lengths 6 in and height 1 in is:
[tex]Volume = 6^2 \times 1[/tex]
[tex]Volume = 36[/tex]
Assume, he adds a cube of side length 4 in, the volume is:
[tex]V = 4^3[/tex]
[tex]V = 64[/tex]
The total volume would be:
[tex]V =36 + 64[/tex]
[tex]V =100[/tex]
The base length of the rectangular prism would be:
[tex]Length =1+2+3+4[/tex]
[tex]Length =10[/tex]
The volume of the rectangular prism would be:
[tex]Volume = 10^2 \times 1[/tex]
[tex]Volume = 100[/tex]
So, the pattern is:
Cubes Volumes
1, 2, 3 36
1, 2, 3,4 100
Corry's conjecture is right, and the volume follows a pattern
Read more about conjectures at:
https://brainly.com/question/4125198
i need help on this asap
Answer:
c
Step-by-step explanation:
PLS I RLLY NEED HELP
Water flows out of a tank at the rate of 400 ml per minute. How long
will it take for 7.2 liters of water to flow out of the tank?
Answer:
18 minutes
Step-by-step explanation:
7.2 litres is 7200ml
each minute 400ml leaves the tank
so the question being asked is how many 400's are there in 7200...
7200 divided by 400 is 18.
8:07, 8:58, ?, 10:43, 11:37
61
9:51
9:50
9:53
9:49
Answer:
9:50
Step-by-step explanation:
It appears the sequence has 0:51 as the first difference, and those differences increase by 0:01 in each interval. That means ? must be chosen so that ...
? - 8:58 = 0:52 ⇒ ? = 8:58 +0:52 = 9:50
10:43 -? = 0:53 ⇒ ? = 10:43 -0:53 = 9:50
The missing time is 9:50.
Where do planes PRS and QRST intersect?
Which ordered pairs are solutions to the inequality 2y-x≤-6 ?
a. (0,-3) b. (5,10) c. (2, -2) d. (-5, 2)
Answer:
C
Step-by-step explanation:
Help please just this 1-5 please answer correctly but real people only answer correctly I'll do anything
Answer: Check the answers below
Step-by-step explanation:
Remember: slope is rise/run
1) 3/15 = 0.2 ft
2) 4/3
3) 2
4) 6/8
5) 2/9
find the total amount due on a loan of $5000 for eight years and 10% simple interest
Answer:
170years
Step-by-step explanation:
R/100=2.5%
time= 100=0.025 per year (1/0.025) (5200\1000)-1=168
time=168 years
What is the function of the line with a slope of 1/5
that goes through the point (-1,5)
A TV has an original price of $549. Enter the new price after the given percent of change. 40% Increase (the new price is $___
A group of three friends receives a dinner bill for $87.50. The sales tax rate is 5%. They want to leave a 15% tip on the total bill after tax.
Answer:
The total would come out to be $105.66
Step-by-step explanation:
Answer:
87.50%5=17.50=5%
Step-by-step explanation:
87.50%5=17.50
17.50x3=52.5
52.50
16.11 ÷ 99
19.6 ÷ 20
0.9 ÷ 11
50.8 ÷ 45
0.1414 ÷ 2
0.213 ÷ 31
A line includes the points (3, 7) and (14, 18). What is its equation in slope-intercept form?
Answer:
y=x+4
Step-by-step explanation:
Question 7
1 pts
Select all sets of points that have a slope m = 2.
(4, 2) and (2,-2)
O (2, -3) and (1,5)
(15, 12) and (5, -8)
(6,5) and (-1,-9)
(2, -3) and (-3,-2)
Answer:
(4,2) and (2,-2)
Step-by-step explanation:
using m=y2-y1/x2-x1
m= -2-2/2-4=-4/-2
therefore,
m=2
Is experimental and practical is same ,if no so tell difference ?
Step-by-step explanation:
math question ? really ?
while it is true, as the other answer indicated, that experimental and practical are not the same, but the meaning of the words is different to what the other answer suggested.
please read the question again.
this is about "experimental" vs. "practical".
so, we are only dealing with adjectives (describing associated nouns).
something is "experimental", if it already exists, but it is not clear yet, if it will fulfill its intended purpose. only time and experience in using and applying that thing will tell us.
example : experimental drugs.
something is "practical" on the other hand, if we are not wondering about the effects of the existing thing but its usability. it is "practical", if this thing or method or operation guideline or ... is not too complicated to do, and any potentially necessary resources are relatively easily available and obtainable.
given the function f(x)=3x-5, for which value in the domain does f(x)=-38?
[tex]f(x) = -38\\\\\implies 3x -5 = -38\\\\\implies 3x = -38 +5 \\\\\implies 3x = -33\\\\\implies x = -\dfrac{33}{3}\\\\\implies x = -11[/tex]
Which condition in the figure below will
prove l || m?
Step-by-step explanation:
option C is correct
hope this answer helps you! take care
Answer:
0ption C is correct hope it correct have good day
Step-by-step explanation:
.this is all the question
Answer:
Answer: 2
Step-by-step explanation:
does anyone know how to do this?? thank you for your help
Answer:
substitute 1 for t
Step-by-step explanation:
Help please help please
Answer:
just use algebraic expression
1. A hot air balloon 4s anchored to the ground by a 152-foot long
rope. The balloon hovers 132 feet above the ground. Which
statement is true?
(a) The angle the rope makes with the ground is about 30"
(B) The angle the rope makes with the ground is about 67
(C) The horizontal distance between the anchor and balloon is about 201 feet.
(D) The horizontal distance between the anchor and the balloon is about 75
foot,
19
1/2 of a bowl of cereal is divided equally between 4 bowls. how much cereal is in each bowl
Answer:
1/16 of the cereal is in each bowl
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
1/2 / 4
= 1/2 * 1/4
= 1/8.
A rectangular garden has dimensions of 19 feet by 16 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 246 square feet?
OA 5ft
OB. 3 ft
OC. 41
OD. 5.5 ft
Answer:
A rectangular garden has dimensions of 19 feet by 16 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 246 square feet?
OA 5ft
OB. 3 ft
OC. 41
OD. 5.5 ft
9. In the figure below, Angle 1 is congruent to Angle 2.
What reason can be used to prove that mis parallel to n?
A. if a pair of verticals angles is congruent, then the lines forming them are parallel
B. If a pair of angles formed by a transversal is corresponding and supplementary, then two lines are parallel
C. If a pair of angles is congruent and the sum of their measures 180 degrees, then the line forming the angles are parallel
D. If two line are intersected by a transversal, and a pair of corresponding angles is congruent, then the two lines are parallel
Answer:
D
Step-by-step explanation:
When 2 angles are congruent and corresponding, the lines are parallel
On a coordinate plane, 2 lines are parallel to each other.This system of equations has .
PLS HELP
Answer:
No solutions
Step-by-step explanation:
The lines never meet, there for have no intersection point leading to no solution for the system of equations.
Hope that helps
Solve for x.
(−19)2=x
Answer:
Step-by-step explanation:
Answer:
x=-38
Step-by-step explanation:
-19*2=-38
Hope this helps! Pls give brainliest! Also sub to kgir633 on yt.
35 out of 50 students in a class wear glasses. What percentage of students in the class wear glasses?
Answer:
70%
Step-by-step explanation:
Percentage is out of 100
35/50 change denominator
multiply both numerator and denominator by 2
70/100= 70%
how many number of solutions does 3(x+1)+x+2=2(2x+1)+3 have pls help me out
Answer:
All real numbers (infinite solutions)
Step-by-step explanation:
To find the number of solutions, first, distribute and combine the like terms of the equation.
3(x+1)+x+2=2(2x+1)+3
3x+3+x+2=4x+2+3
4x+5=4x+5
Since both sides of the equation are equal, the number of solutions are infinite.