Answer:
a4 = 128
a5 = -512
Step-by-step explanation:
a1= -2
q= (-1)^(n+1) × 4
a4 = a1q³ = (-2) (-4)³ = -2 × -64 = +128
a5 = a1q⁴ = (-2) (-4)⁴ = -2 × 256 = -512
Work out the nth term of the following sequence:
7, 16, 31, 52, 79
its a quadratic sequence and i worked out the second difference (6) so know its 3n² but i don't know the rest
Answer:
Step-by-step explanation:
Since it is given that it is quadratic it is of the form f(n)=an^2 + bn+c.
Since we know a few terms we can plug in to get some equations:
f(1)= a +b+c = 7
f(2)=4a+2b+c = 16
f(3)=9a+3b+c = 31
Now you've got yourself a system of three equations which I trust you can solve.
I will say that I'm not sure that this is the most efficient solution(check out the link below which might have a better solve).
Here are some nice explanations with the "real" math notation for a slightly different but related problem:
https://math.stackexchange.com/questions/2345256/how-to-find-the-nth-term-of-quadratic-sequences
Good luck!
Please help asap! I will give brainliest for correct answer!
Answer:
0.01miles/day
Step-by-step explanation:
1: Convert 9cm to miles
[tex]9cm*(\frac{1m}{100cm})*(\frac{1km}{1000m})*(\frac{1mile}{1.609km})=0.000055935miles[/tex]
2: Convert 5.5 minutes to days
[tex]5.5minutes*(\frac{1hour}{60minutes})*(\frac{1day}{24hours})=0.003819444 days[/tex]
3. Set miles over days
[tex]\frac{0.000055935miles}{0.003819444days}[/tex]
4: Divide to get the answer
0.014644 miles/day
5: Round to get the final answer
0.01 miles/day
graph using the slop and y intercept
Answer:
the slop is -1/2 and they y intercept 2
How far is it around the perimeter of crater lake?
6. How many planes contain the given line and point?
a. DB and point A
b. BD and point E
C. AC and point D
d. EB and point C
Answer:
B. BD and point E
Step-by-step explanation:
BD and point E is the only choice with both of them lying on the plane, the others lie on other planes
The angles featured below are ______ angles
Answer:
its normall
Step-by-step explanation:
- The equilateral triangle and the rectangle have equal perimeters, measured in feet.
a. Find the value of x.
Answer:
x=
Step-by-step explanation:
Answer:
Do you have a picture that goes with the question that you can post?
Step-by-step explanation:
What is the value of the x variable in the solution to the following system of equations?
2x - 3y = 3
5x - 4y = 4
Answer:
x = 0
Step-by-step explanation:
Solve 2x - 3y = 3 for x:
[tex]2x - 3y = 3[/tex] [tex]2x - 3y + 3y = 3+ 3y[/tex] (add 3y to both sides)[tex]2x = 3y + 3[/tex] [tex]\frac{2x}{2} = \frac{3y+3}{2}[/tex] (divide both sides by 2)[tex]x = \frac{3}{2}y + \frac{3}{2}[/tex]Substitute 3/2(y) + 3/2 for x in 5x - 4y = 4
[tex]5x - 4y = 4[/tex] [tex]5(\frac{3}{2}y + \frac{3}{2}) - 4y = 4[/tex] [tex]\frac{7}{2}y + \frac{15}{2} = 4[/tex] (simplified both sides of equation)[tex]\frac{7}{2}y + \frac{15}{2} - \frac{15}{2} = 4 - \frac{15}{2}[/tex] (subtract 15/2 from both sides)[tex]\frac{7}{2}y = -\frac{7}{2}[/tex] [tex]\frac{7}{2}y * \frac{2}{7} = \frac{-7}{2} * \frac{2}{7}[/tex] (multiply both sides by 2/7)[tex]y = -1[/tex]Substitute -1 for y in x = 3/2(y) + 3/2
[tex]x = \frac{3}{2}y + \frac{3}{2}[/tex] [tex]x = \frac{3}{2}(-1) + \frac{3}{2}[/tex] [tex]x = -\frac{3}{2}+ \frac{3}{2}[/tex] (simplified both sides of equation)[tex]x = 0[/tex]Therefore, the value of the x-variable is 0.
The total cost for 6 mangoes and four apples is $46. Which equation represent this information?
Answer:
Step-by-step explanation:
6m+4a=46
The question is on the sheet...pls help!
Answer:
C
Step-by-step explanation:
find the 125th term of the number pattern 2,4,6,8......
Answer: 250
Step-by-step explanation: 125*2 = 250
Select all of the following that are ordered pairs of the given function.
ƒ(x) = 3 - 2x
Answer:
These are the answers
(-1,5)
(0,3)
(2,-1)
Step-by-step explanation:
Simplify:
-0.2sqrt(x^2)
Answer:
-0.2x
Step-by-step explanation:
-0.2*sqrt(x^2)
-0.2x
f(x)=12x to g(x) = 2x
Answer:
g(x)=12-x^2. g(x)=12−x2 g ( x ) = 12 - x 2
Step-by-step explanation:
your welcome
Write an equation of the line with a slope of frac 3/4
and a y-intercept of -2.
Answer:
Equation: y = 3/4x -2
Over 5 days, Jaasiel practices soccer for a total of 3 hours. Jaasiel practices baseball for the same amount of time each day. If he practiced soccer and baseball for a total of 30 hours, how many hours per day did Jaasiel practice baseball? *
Answer:
3 HOURS
Step-by-step explanation:
HE PRACTICED 3 HOURS A DAY IN BOTH SPORTS MEANING IN 1 DAY HE PRACTICED A TOTAL OF 6 HOURS 6 HOURS A DAY FOR 5 DAYS IS EQUAL TO 30 HOURS OF PRACTICE A WEEK FOR BOTH SPORTS. SO 6 HOURS A DAY TOTAL AND 3 HOURS A DAY IF YOU ONLY COUNT 1 OF THE 2 SPORTS MENTIONED.
Another division question! (It's a pictiture)
Answer:
0.60 ÷ 15
Explanation: Brainliest please
What’s the answer to this problem?
Answer:
try 8
Step-by-step explanation:
area of triangle-1/2 x base x height
If r = 32 and t = 8, what is the value of the following expression?
r + 56 ÷ t · 5
r + 56 ÷ t · 5
A.
79
B.
67
C.
55
D.
75
Answer:
The answer is B.
Step-by-step explanation:
r + 56 ÷ t · 5
= 32 + 56 ÷ 8 · 5
= 32 + 7 · 5
= 32 + 35
= 67
HELP PLEASE!!!!
WILL GIVE BRAINLIEST
ANY LINKS OR WRONG ANSWERS WILL BE REPORTED!!!!
Answer:
64 ounce bottle of orange juice has a greater percent of water
Step-by-step explanation:
Case 1) An 80 ounce bottle of apple juice contains 32 ounces of water
Total quantity of bottle = 80 ounces
Amount of water = 32 ounces
So, Percent of water = [tex]\frac{32}{80}[/tex] x 100
= 40%
Case 2) An 64 ounce bottle of orange juice has 48 ounces of water
Total quantity of bottle = 64 ounces
Amount of water = 48 ounces
So, Percent of water = [tex]\frac{48}{64}[/tex] x 100
= 75%
Hence 64 ounce bottle of orange juice has a greater percent of water
The distance between two towns on a map varies directly with the actual distance between the towns.
Seven and a half inches on the map represents 150 miles. What is the actual distance represented
by 11 inches on the map?
Answer: 220 miles
Step-by-step explanation:
(150 miles)/(7.5 inches) = 20 miles/inch
(20 miles/inch)*(11 inches) = 220 miles
lol sorry again. need #2 for this assignment
Answer:
r=1
Step-by-step explanation:
13/20=3/4r-1/10r
multiply by 40
26=30r-4r
26r=26
r=1
PLEASE HELP ME!!! This is DUE TONIGHT!!! (AND DONT STEAL THESE POINTS I NEED THE REAL ANSWER..)
Express 4 inches to 3 feet as fraction in simplest form.
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
The quantities must be in the same measure
3 feet = 3 × 12 = 36 inches ( 1 foot = 12 inches )
Then
fraction = [tex]\frac{4}{36}[/tex] = [tex]\frac{1}{9}[/tex]
A car travels 15 miles per gallon of
gas. Write an equation that shows the
relationship between miles (y) and
gas (x).
A. y = tx
B. 15x = y
C. 15 = yx
D. 15y = x
Answer:
15x = y
Step-by-step explanation:
15 times the gallons of gas = miles
15x = y
Sam invests a sum of money into an account that pays 3%
compound interest per annum.
Work out after how many years Sam will have doubled his investment.
Give your answer as a whole number of years.
Answer: It would take 24 years to double your investment.
Hope this helps!
Sam will have doubled his investment for 33 years.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Sam invests a sum of money into an account that pays 3%
compound interest per annum
We need to find how many years Sam will have doubled his investment.
With C your initial capital, k the interest rate and t the number of years. Since k is given as a simple interest rate, you’re essentially trying to solve :
C(1+tk)=2C
With a little bit of algebra, you should find that:
t=1/k
k=3%=0.03
t=1/0.03=33.33=33 years.
Hence, Sam will have doubled his investment for 33 years.
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ2
PLS HELPPP MEEEEEEEEE
Answer:
x= 7
B= 112
F= 68
Step-by-step explanation:
to find x we set up an equation, (16x)=(4x+84). They are alternate interior angles which are always equal.
calculate it and you'll find x=7.
B and the angle 4x+84 are equal because they are vertical angles, to find it we just put 7 instead of x into 4x+84.
4(7)+84=112
angle f is supplementary to 16x. 16x is also 112 because they are equal, so its just 180-112=68
Which graph shows the solution to the inequality -3x-7 <20?
.
-10
-5
5
10
O
-10
-5
0
5
10
o
-10
0
5
10
-10
0
5
10
Answer:
Second choice.
Step-by-step explanation:
Option 1: solve the inequality. Add 7 to both sides, and multiply by -3 (don't forget that this makes the inequality switch direction!) to get [tex]x > {27 \over {-3}[/tex] or x > -9
Option 2. Plug 0 in it. You get -7 < 20, which is obviously true. So 0 is in the set of solution and it means B and C are possible solutions. So let's check another easy value. let's say -10. replacing it you get [tex]-3 (-10) -7 < 20[/tex] or [tex]30 -7 <20[/tex]. But 23 is obviously greater than 20, which means -10 is not a part of the solution. Correct answer is B
Write a recursive and explicit formula for the following sequences
-4, -8, -16, -32...
Recursive:
Explicit:
320, 80, 20, 5...
Recursive:
Explicit:
Find the 7th term:
10, 40, 70, 100...
Recursive:
Explicit:
,cjccnfnfjdshdudsyeyeyru364748597oykfhe733636352ydhfc. Jdjrurr6wyeutcn. Rurye7e747474747t
What is the value of x?
Answer:
x = 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 4[tex]\sqrt{3}[/tex]
