Answer: aₙ = -12 + 4*n
Step-by-step explanation:
We know that:
a₃ = 0
a₄ = 4
a₅ = 8
a₆ = 12
a₇ = 16
This seems to be an arithmetic sequence.
To test this, we need to calculate the difference between any two consecutive terms in the sequence, and this must be a constant for any pair that we choose.
a₄ - a₃ = 4 - 0 = 4
a₅ - a₄ = 8 - 4 = 4
a₆ - a₅ = 12 - 8 = 4
etc
we can conclude that this is an arithmetic sequence.
The n-th term in an arithmetic sequence, where the increase between consecutive terms is 4, is:
aₙ = aₙ₋₁ + 4.
Another way is:
aₙ = a₀ + n*4.
Where to find a₀, we can start with the value that we know and go back:
a₂ = a₃ - 4 = -4
a₁ = a₂ - 4 = -8
a₀ = a₁ - 4 = -12
Then the n-th term can be written as:
aₙ = -12 + 4*n
2ax - 15 = 3(x + 5) + 5(x - 1) In the equation above, a is a constant. If no value of x satisfies the equation, what is the value of a ?
NEED EXPLANATION!
Answer:
Step-by-step explanation:
Hello,
let s regroup the terms
2ax - 15 = 3(x + 5) + 5(x - 1) *** add 15 to both sides ***
<=> 2ax = 15 + 3x + 15 + 5x - 5 *** develop to remove the parentheses***
<=> 2ax = 8x + 25 *** simplify ***
<=> (2a-8)x = 25 *** subtract 8x from both sides ***
<=> (a-4)x=25/2 *** divide by 2 both sides ***
There is no solution is a-4 = 0 ,
because it would mean 0 = 25/2 and this is not possible
So it gives a = 4
Thanks
In the case when no value of x satisfies the equation so there the value of a should be 4.
Calculation of the value of a:Since
the equation is
2ax - 15 = 3(x + 5) + 5(x - 1)
2ax = 15 + 3x + 15 + 5x - 5
2ax = 8x + 25
(2a-8)x = 25
So a = 4
hence, In the case when no value of x satisfies the equation so there the value of a should be 4.
Learn more about an equation here https://brainly.com/question/22358515
A whale is 215 feet below sea level and descends 23 feet then ascends 119 feet. What is the location of the whale?
Answer:
354 feet below sea level
Step-by-step explanation:
Subtract 23 from 215, then add 119
How many cupcakes can I make with 16 cups of batter if I pour 2/3 Cup of batter into each cake?
Answer:
Step-by-step explanation:
16×2/3
32/3
104
find the product and enter your answer in the space provided 316 x 10
Answer:
The answer to this is: 3160 and can i have brainliest?? please
Step-by-step explanation:
-4x+-3=-2x+-2
what is X?
-6x+15=33 what is the first best step in solving for x?
Answer:
x= -3
Step-by-step explanation:
1) subtract 15 on both sides
should look like: -6x=18
2) divide the -6 on both sides
3) 18 divided by -6 is -3
Dave uses the function P(d)=20d-20 to calculate the net profit of his dog walking business. Where P(d) is the net profit in dollars, and d the number of dogs he walks.
Interpret the meaning of the equation below using the context of the problem.
P(3)=40
Dave's profit is ____ when he walks _____dogs.
The height of the house is 28feet what is the height x of each story
how many solutions does the equation 8x+16=8x-16 have?
Answer:
8*x+16-(8*x-16)=0
Step-by-step explanation:
Solve : 32 = 0
This equation has no solution.
A. a non-zero constant never equals zero.
Hope this helps! Please mark Brainliest!
HELP BTAINLIEST!!!
IS 12x=15 and 4x=5 EQUIVALENT Y OR N
Answer:
Yes
Step-by-step explanation:
Answer: Yes it is equivalent
Step-by-step explanation:
If you crossed out the 12 and put it under 15, it would be 15/12=1.25.
Same for the second one cross out the 4 and put it under the 5 and it would be 5/4 is 1.25.
simplify 8/9 over 20. 8/9/20
2 over 45
Step-by-step explanation:
i divide 8over9 by 20
Tiffany wants to calculate the volume of her globe. The globe is in the shape of a sphere. She measured the circumference of the globe along the equator to be 24 inches. What is the volume of the globe? Round your answer to the nearest whole number.
Answer:
231in^3Step-by-step explanation:
We know that the volume of a sphere/globe is given as
V=4 /3πr^3
but the circumference is expressed as
C=2πr
solving for r given that C=24
24=2*3.142r
24=6.284r
r=24/6.284
r=3.8in
put r=3.6 in the expression for volume we have
V=4 /3π(3.8)^3
V=4 /3π(55
V=(220.59*3.142)/3
V=693.12/3
V=231in^3
The volume of the globe is 231in^3
The volume of the globe is 233 cubic inches.
Important information:
Circumference of the globe along the equator to be 24 inches.We need to find the volume of the globe.
Volume of sphere:Let [tex]r[/tex] be the radius of the globe.
Circumference of the globe along the equator is:
[tex]C=2\pi r[/tex]
[tex]24=2\pi r[/tex]
[tex]\dfrac{24}{2\pi }=r[/tex]
[tex]\dfrac{12}{\pi}=r[/tex]
Volume of the globe is:
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
[tex]V=\dfrac{4}{3}\pi \left(\dfrac{12}{\pi}\right)^3[/tex]
[tex]V=\dfrac{4}{3}\pi \left(\dfrac{1728}{\pi^3}\right)[/tex]
[tex]V=233.444...[/tex]
[tex]V\approx 233[/tex]
Therefore, the volume of the globe is 233 cubic inches.
Find out more about 'Volume of sphere' here:
https://brainly.com/question/381274
What is −15÷3/5?
-25
-9
-1/9
-1/25
Answer:
-25
Step-by-step explanation:
i took the test
7.3 times 10^22 what does it equal?
The correct answer is 7.3e +22
whats 18+18+= equal to
Answer:
36
Step-by-step explanation:
Answer:
the correct answer is 36
write the following ratio in their simplest form 25:75
Answer:
1/3 :)
Step-by-step explanation:
If a cube has a side length of 5 inches, what would be the volume of that
cube?
2 points
*
Answer:
125 inches^3
Step-by-step explanation:
To solve for cubes it is L^3 or Length Cubed. Whcih is simply L×L×L where L is Length.
Given: In the figure, B is the midpoint of AC and AD = EC. Prove: DB = BE.
Match each statement to its corresponding reason in the flow diagram. Drag the items on the left to the correct
location on the right.
Answer:
The PLATO answer...
The recipe calls for 2/3 cup of sugar and 3/4 cup of flour. What is the total amount of dry goods that the recipe calls for you to make the cake?
Answer:
17/12
Step-by-step explanation:
find a common denominator for each number so 8/12 and 9/12
if KM = 32 units, KL = 3x+6 and LM= 11 units, what is the value of x?
Answer:
x = 5Step-by-step explanation:
|<------------------- 32 units ---------------->|
K-----------------------L-------------------------M
3x + 6 11
KL + LM = KM
3x + 6 + 11 = 32
3x = 32 - 11 - 6
x = 15 / 3
x = 5 units
Devon has 4 1/2bags of soil to put in his flower beds. Each bag of soil will cover 115.4 ft2. How many square feet will Devon be able to cover if he uses all these bags of soil?
A small submarine starts at - 1.260 feet in relation to sea level. Then it descends 5 feet per minute for 12 minutes What expression represents the new position of the submarine in relation to sea level?
Answer:
The submarine is at -1260 ft.
It descends 5 ft/min for 12 min.
12 min * 5 ft/min = 60 ft.
It descended 60 ft, so you must subtract 60 ft from -1260 ft.
-1260 ft + (-5)(12) ft = -1260 ft - 60 ft = -1320 ft
The error in the last line in the problem is that (-5)(12) = -60, not 60.
The correct line is:
-1260 + (-5)(12) = -1260 - 60 = -1320
Step-by-step explanation:
Macy drove her car to visit her uncle. She came part of the way home after her visit. This graph shows the distance Macy was from her home during the course of the day. During which part of the graph is Macy visiting her uncle?
Answer:
part 11
Step-by-step explanation:
B
Step-by-step explanation:
hope that help!
ANSWER BRIEFLY AND FAST FOR GUARANTEED BRAINLY AND POINTS!
• commutative property
• addition property of equality
• 2x=8
• distributive property
• division property of equality
• x=4
• multiplication property of equality
• subtraction property of equality
Answer:
See below
Step-by-step explanation:
[tex]2(x+5)-3 =15[/tex]
Using the distributive property in the LHS we get
[tex]2x+10-3 =15[/tex]
[tex]2x+7=15[/tex]
Now add -7 both sides. So we have the subtraction property of equality.
[tex]2x+7+(-7)=15+(-7) \text{ This is what I meant for add}[/tex]
[tex]2x+7-7=15-7[/tex]
[tex]2x=8[/tex]
Now divide both sides by 2. So we have the division property of equality
[tex]\dfrac{2x}{2} =\dfrac{8}{2}[/tex]
[tex]x=4[/tex]
On Monday Jim had -$20 in his bank account. On Tuesday Jim had -$60 in his bank account. What was the change in Jim's account?
Answer:40
Step-by-step explanation:
4х – 8y = 2
6x - 12y = 3
Answer:
1. Slope=
2.000
1.000
=0.500
x−intercept=
2
1
=0.50000
y−intercept=
−4
1
=−0.25000
2. Slope=
2.000
1.000
=0.500
x−intercept=
2
1
=0.50000
y−intercept=
−4
1
=−0.25000
Hope this helps!
what is 1,935,825 in scientific notation ?
answer:1.935825×10 to the sixth power
step by step: your going to move the decimal point 6 places to the left. which became 1.935825x10 to the sixth power.
Mr. Peters uses a phone card to call relatives in France. It costs him 48 cents to talk for 12 minutes. What is the call rate for the phone card?
Answer:
The ratio is 1:4
Step-by-step explanation:
For every minute of talking, it costs him 4 cents, and so on.
Identify the domain of the relation (-5, 10), (-2, 11), (1, 4), (5, 10) *
Answer:
-5,-2,1,and 5
Step-by-step explanation:
HELP ASAP!!!!!!!!!!!!!!!!!!
Answer:
I'm pretty sure it would be 1 acre
Step-by-step explanation:
5/2 which is improper for 2 1/2 and 2/5 are multiplicative inverses so 2/5 of 5/2 is 1