Answer:
92
Step-by-step explanation:
The 10th term in a sequence whose general term is [tex]a_n = n^2 - 8[/tex] will be 92. so option A is correct.
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
Its nth term is
T_n = a + (n-1)d
(for all positive integer values of n)
And thus, the common difference is
T_{n+1} - T_n
for all positive integer values of n
We need to find the 10th term in a sequence whose general term is
[tex]a_n = n^2 - 8[/tex].
So, the 10th term is (10)²- 8
= 100 - 8
= 92
Therefore, the 10th term in a sequence whose general term is
[tex]a_n = n^2 - 8[/tex] will be 92. so option A is correct.
Learn more about arithmetic sequence here:
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If the Constant of Proportionality between X and Y is 12, which equation represents their relationship?
Answer:
y=12x 12=k k=constant of Proportionality
Step-by-step explanation:
You are given a penny on January 1, two pennies on January 2, four pennies on January 3, and eight pennies on January 4, and so on. 1.
Assuming the pattern continues, how many pennies do you get on the following dates? January 5 January 10 January 31
Answer:
january 5 :12
january 10:22
Step-by-step explanation:
Answer:
16 pennies512 pennies1073741824 penniesStep-by-step explanation:
We can see a pattern:
Days >> Pennies1 >> 1= 2^02 >> 2= 2^13 >> 4 = 2^24 >> 8 = 2^3...n >> 2^(n-1)So
January 5 fall on n = 5, therefore 2^4 = 16 penniesJanuary 10 falls on n = 10, therefore 2^9 = 512 penniesJanuary 31 falls on n = 31, therefore 2^30 = 1073741824 penniesthe tax on a purchase of $20 is 1.12. how much will tax be on a purchase of $45.50
Answer:
$ 1,593.75
Step-by-step explanation:
this is the advanced sale calculation if you wan a simple one i can write that in the comments! hope this help you! :D
Given that 8x−5y=24
Find y when x=−6
Give your answer as an improper fraction in its simplest form.
Answer:
y = - [tex]\frac{72}{5}[/tex]
Step-by-step explanation:
Plug x = -6 into the given equation : 8(-6)−5y=24Multiply the numbers: -48 - 5y = 24Move the constant to the right-hand side and change its sign: -5y = 24 +48Add the numbers: -5y = 72Divied both sides of the equation by -5 : y = - [tex]\frac{72}{5}[/tex]3/8 + 7 1/2 =?
In simplest form
Answer:
63/8
Step-by-step explanation:
3/8+ 7 1/2 = 3/8+ 15/2= 3/8+60/8= 63/8
Answer: I think it’s 7 5/8 I’m not sure
Step-by-step explanation:
Which could be the function graphed below?
х
Answer:
Step-by-step explanation:
D: f(x)= √x+4
I took the review and this is the answer on Enginuity.
Please give me the correct answer.
Answer:
33
Step-by-step explanation:
Please help will put brainliest
Answer:
7x - 8y = -23
Slope = 1.750/2.000 = 0.875
x - intercept = -23/7 = 3.28571
y - intercept = 23/8 = 2.87500
7x - 7y = -14
Slope = 1
x - intercept = -2/1 = -2.00000
y - intercept = 2/1 = 2.00000
Solve the equation. Type just the numeral answer. Do NOT round your solution.
n
= -1.2
-1.5
n=
Answer:
-2.7
thats the answer but i cant submit without some words lol
Answer:
n= 1.8
Step-by-step explanation:
Solve the following expression:
n/-15 = -1.2
-Multiply -1.5 on both sides:
(-1.5) n/-1.5 = -1.2(-1.5)
n=1.8
Therefore, the final answer is n = 1.8.
Write 4,275,000,000 in scientific notation
Answer:
4.275 x 10^9
Step-by-step explanation:
jus do it
Answer:
4.275x10bto the 9th power
Step-by-step explanation:
Help, will give brainliest if correct!!!
A cheetah runs at an average speed of 50 mph between two jungles that are 150 miles apart. An antelope runs at an average speed of 30 mph, a lion runs at an average speed of 25 mph, and an elephant runs at an average speed of 15 mph.
How long does it take each animal to run to the second jungle?
Answer:
cheetah, 3 hours antelope, 5 lion, 6 elephant, 10
Step-by-step explanation:
The time taken by each animal to reach another jungle are:
Cheetah = 3 hours
Antelope = 5 hours
Lion = 6 hours
Elephant = 10 hours
What is speed?Speed is a scalar quantity that refers to how fast an object is moving.
Given are the speeds of different animals,
Cheetah = 50 mph
Antelope = 30 mph
Lion = 25 mph
Elephant = 15 mph
Speed = distance/time.
Time = distance/speed
Distance = 150 miles
Time taken by each :
Cheetah = 150/50 = 3 hours
Antelope = 150/30 = 5 hours
Lion = 150/25 = 6 hours
Elephant = 150/15 = 10 hours
Hence, The time taken by each animal to reach another jungle are:
Cheetah = 3 hours
Antelope = 5 hours
Lion = 6 hours
Elephant = 10 hours
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A car sold from a dealership is 25,700 if the sales person receives 1.5% commission on the price of the car how much commission is made on average per car sold
Answer:
385.50
Step-by-step explanation:
Given the following two equations determine if they are parallel, perpendicular, or neither.
3x + 6y = 30
4y + 2x = 9
Please show work!
Answer:
Parallel
Step-by-step explanation:
What you want to do first is to put both equations into the slope intercept form: y=mx+b.
In the first equation, you move the [tex]3x[/tex] to the right side of the equal sign by subtracting on both sides:
[tex]6y = -3x + 30[/tex]
Then you want to divide both sides by 6 to isolate y:
[tex]y = -\frac{1}{2}x + 5[/tex]
Next for the second equation, you do similar steps. You subtract [tex]2x[/tex] from both sides:
[tex]4y=-2x+9[/tex]
Then you want to divide both sides by '4' to isolate y:
[tex]y= -\frac{1}{2}x+\frac{9}{4}[/tex]
Now to check if the two equations are parallel, perpendicular, or neither, you compare the slopes 'm' which is the coefficient next 'x'. If two equations have the same slope, then they are parallel. If the slopes multiplied equal -1, then they are perpendicular. If the slopes are not the same or if the product of the slopes is not -1, then it is neither.
In the case of this problem, the slopes are the same, so the equations are parallel:
[tex]-\frac{1}{2} = -\frac{1}{2}[/tex]
A taxi ride costs $4, plus an additional $3 per mile (X). You paid the taxi driver $16 after riding in the taxi for x
number of miles. How many miles did you ride in the taxi?
Help please
Answer:
4 miles
Step-by-step explanation:
Answer:
4 miles
Step-by-step explanation:
4 + 3x = 16 16 - 4 = 12 / 3 = 4
The math club is having a car wash to raise funds to attend a state competition. They need to raise a minimum of $325.00. The cost of supplies for the car wash is $25.00. If they expect 40 cars on the day of the car wash, what is the amount they will have to charge each car to meet the minimum goal?
Answer:
8.75
Step-by-step explanation:
the formula to use would be:
$325 = 40x - 25
add 25 to both sides of the equation to get:
$350 = 40x
divide both sides by 40 to get:
x = 350/40 = $8.75
if they charge $8.75 per car, they will raise 40 * that for a total of $350.
they would then subtract the $25 for the cost of the supplies and they would be left with $325.
that's their minimum goal.
Answer:
8.75
Step-by-step explanation:
There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon.
How many milliliters are in 3 gallons?
Label your answer in mL.
Answer:
11355mL
Step-by-step explanation:
It gives you how many milliliters are in one gallon. From there it gives extra information that isn't needed so you skip it and go to the question which is the amount of mL in 3 gallons. So you take the amount from the first sentence (3,785 mL) and multiply it by the amount that they ask in th equestion (3 gal) .
3785*3= 11355
Can someone answer this quickly please
Answer:
3/x
Step-by-step explanation:
it just is
Which is the constant of proportionality for the relationship shown in the table?
Answer:
b
Step-by-step explanation:
At a catered wedding, there are 2 options for the first course, 6 options for the main course, and 3 options for
dinner. How many meals are possible?
A.11
B.64
C.18
D.36
Answer:
A. 11
1 course = 1 meal
Step-by-step explanation:
helpppp it’s my friends birthday
А
y
B 4
D
In the pre-image of the parallelogram, the slope of AD is
-3 and the slope of BC is -3. The image is translated
down 7 units and then reflected over the y-axis.
The slope of A"D" is
The slope of B"C" is
What can you determine about the line segments A"D"
and B"C"?
21
С
4
16
2.
A
A"
-2
B
B"
D
D"
C C
Answer:The slope of A"D" is 3
The slope of B"C" is 3
What can you determine about the line segments A"D" and B"C"?
They are parallel.
Place the following numbers from least to greatest.
4.14, 3.24, 3.14, 4.24
Will make you brainliest!!! If correct!!
Answer:
Step-by-step explanation:
y = - [tex]\frac{1}{4}[/tex] x + 3 ( equation of line t )
y - (- 2) = - [tex]\frac{1}{4}[/tex] [ x - (- 2)] ⇒ y = - [tex]\frac{1}{4}[/tex] x - [tex]\frac{5}{2}[/tex] ( equation of line u )
something divided by -7 that gives -4 PLEASE I NEED HEEELP
Answer:
28
Step-by-step explanation:
Just do -4 multiplied by -7 which is 28
When divided it gives you -4
Answer:
just look it up
Step-by-step explanation:
Safari, Ask what u need too, and that is it
2 1/8 and 17/8 are reciprocal numbers. True False
Answer:
False
Step-by-step explanation:
If make 2 1/8 into an improper fraction, it will be 17/8. a reciprocal is a flip of a number, so it is false.
Give answer please
Water bottles are sold in cases of 24. Select the TWO expressions that can represent the total number of water bottles in c cases
Options:
24 X c,
24 ÷ c,
24 + c,
24 - c,
24c
Answer:
24c
Step-by-step explanation:
First off, we know what in each case there are 24 bottles. So if we have c crates and want to know the water bottles inside them, we need to multiply 24 by c resulting in 24c or 24 x c.
(5x + 4) + (-8x - 2)
Answer:
-3x + 2
Step-by-step explanation:
(5x + 4) + (-8x - 2)
= 5x + 4 -8x - 2
combine like terms
-3x + 2
In the diagram below of triangle TUV, W is a midpoint of TU and X is a midpoint
of UV. IfWX = 23 – 2x, and TV = 64 – 10x, what is the measure of TV?
А.
W
T
V
Answer:
Submit Answer
Answer:
[tex] TV = 34 [/tex]
Step-by-step explanation:
WX = 23 – 2x,
TV = 64 – 10x,
First, create an equation you will use to find the value of x.
Thus:
[tex] WX = \frac{1}{2}(TV) [/tex] (midsegment theorem of a ∆)
[tex] 23 - 2x = \frac{1}{2}(64 - 10x) [/tex] (substitution)
[tex] 23 - 2x = \frac{1}{2}(64 - 10x) [/tex]
Multiply both sides by 2
[tex] (23 - 2x)*2 = \frac{1}{2}(64 - 10x)*2 [/tex]
[tex] 46 - 4x = 64 - 10x [/tex]
Collect like terms
[tex] 46 - 64= 4x - 10x [/tex]
[tex] -18= -6x [/tex]
Divide both sides by -6
[tex] 3 = x [/tex]
[tex] x = 3 [/tex]
Find TV:
[tex] TV = 64 - 10x [/tex]
Plug in the value of x
[tex] TV = 64 - 10(3) = 64 - 30 [/tex]
[tex] TV = 34 [/tex]
Answer:
the answer is 18
Step-by-step explanation: I unfortanutley got it wrong by listen to the dude that said it 34 but it's 18
2. Use the Pythagorean theorem to find the missing side of the following right triangles.
Round to the nearest tenth if needed.
2
B
a = 9
C
b = 12
Answer:
Pythagorean theorem which is a²+b²=c2
9²+12²=c²
225=c2
c=√225
c=15
A company sold 33 bicycles for 315 dollars each how much revenue did it receive
Answer:
A
Step-by-step explanation:
Answer: $10395
Step-by-step explanation:
33 • 315 = 10395
