Answer:
[tex]\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} - 3 && \text{for $n \ge 1$}\end{aligned}\right.[/tex].
Step-by-step explanation:
An arithmetic sequence could be defined using only two pieces of information:
The first term of this sequence, [tex]a_{1}[/tex].The common difference between two consecutive terms of this sequence, [tex]d[/tex].The arithmetic sequence in this question is given in the explicit form, [tex]a_{n} = 7 - 3\, (n - 1)[/tex], which is equivalent to [tex]a_{n} = 7 + (-3)\, (n - 1)[/tex]. In the explicit form, [tex]a_{1}[/tex] and [tex]d[/tex] are described in the same equation:
[tex]\text{$a_{n} = a_{1} + d\, (n - 1)$ for $n \ge 1$}[/tex].
Compare [tex]a_{n} = a_{1} + d\, (n - 1)[/tex] with [tex]a_{n} = 7 + (-3)\, (n - 1)[/tex]: [tex]a_{1} = 7[/tex] whereas [tex]d = -3[/tex].
When an arithmetic sequence is given in the recursive form, [tex]a_{1}[/tex] and [tex]d[/tex] are specified in two separate equations:
[tex]\left\lbrace\begin{aligned}& a_{1} = a_{1} \\ & a_{n+1} = a_{n} + d && \text{for $n \ge 1$}\end{aligned}\right.[/tex].
In this question, it was found that [tex]a_{1} = 7[/tex] whereas [tex]d = -3[/tex]. Hence, the corresponding recursive formula for this arithmetic sequence would be:
[tex]\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} + (-3) && \text{for $n \ge 1$}\end{aligned}\right.[/tex].
The digit 6 in which number represents a value of 6?
Choose 1 answer:
1)906
2)644
3)565
Answer:
1) 906
Step-by-step explanation:
It's in the ones value making it represent the value of 6
Who was in Paris ???? ?
Who?
Answer:
N.ice I.ndividual G.iven G.ood A.spects S.eriously was in paris
Step-by-step explanation:
Answer:
the French
Step-by-step explanation:
write (n+4)(n+3)(n+2) as a permutation
Answer:
1267 456 578 123 679 333 5Step-by-step explanation:
yo
A marathon runner ran the first 5 miles in 32.5 min. If she
continues running at this pace, how long will it take her to run
The entire marathon of 26.2
miles?
Answer:
It will take her 170.3 minutes to run the entire marathon
Step-by-step explanation:
Use dimensional analysis, the miles will cancel out.
[tex]\frac{26.2 mi}{1}[/tex] × [tex]\frac{32.5 min}{5 mi}[/tex] = [tex]\frac{26.2(32.5)}{5}[/tex]min = 170.3 min
a rectangular hall is 16 m tall and 12 metre wide. how many marble slabs of size 25 CM X 15cm needed to cover the floor of the hall?
Answer:
5120 tiles.
Step-by-step explanation:
Do one thing.
Find out the area of the rectangular hall.
Find out the area of the marble slab.
Remember, the units are to be made same.
Now, to know the number of marble tiles required to fill the hall, you just have to divide the area of the hall with the area of the marble tile.
Calculations-
Area of the rectangular hall = length x width = 1600 x 1200 (we converted 'm' to 'cm') = 1920000 sq. cm.
Area of one marble tile = 25 x 15 = 375 sq. cm.
Now you divide the numbers and get 5120 tiles.
what are the x and y intercepts of the equation -2x +3y=10
Answer:
Step-by-step explanation:
To find the x-intercept, let y = 0 and solve the resulting equation for x:
-2x + 3(0) = 10, or -2x = 10. This results in x = -5; the x-intercept is (-5, 0).
To find the y-intercept, let x = 0 and solve for y: -2(0) + 3y = 10, or y = 10/3.
The y-intercept is (0, 10/3).
Write these expressions in exponential form. Example: 12 to the power of 2 x 12 to the power of 6= 12 to the power of 2 +6
1. 11 to the power of 16 x 11 to the power of 1=
2. a to the power of 6 x a to the power of 8 =
3. (-2) to the power of 12 x (-2) to the power of 1=
4. 1.1 to the power of 7 x 1.1 to the power of 9 =
5. 3 to the power of 4 x 5 to the power of 2 =
Step-by-step explanation:
1. 11 to the power of 16 x 11 to the power of 1
[tex]11^{16}*11^1=11^{16+1}=11^{17[/tex]2. a to the power of 6 x a to the power of 8
[tex]a^6*a^8=a^{6+8}=a^{14}[/tex]3. (-2) to the power of 12 x (-2) to the power of 1
[tex](-2)^{12}*(-2)^1=(-2)^{12+1}=(-2)^{13}[/tex]4. 1.1 to the power of 7 x 1.1 to the power of 9
[tex]1.1^7*1.1^9=1.1^{7+9}=1.1^{16}[/tex]5. 3 to the power of 4 x 5 to the power of 2
Assumed it is both 3 or 5, we take 3
[tex]3^4*3^2=3^{4+2}=3^6[/tex]-2(x + 3) = -2(x + 1) - 4
Answer:
infinite solution
Step-by-step explanation:
-2 times x is -2x
-2 times 3 is -6
-2 times x is -2x
-2 times 1 is -2
the equation now looks like this:
-2x-6=-2x-2-4
Simplify
-2x-6=-2x-6
0=0
So this is an infinite solution
Hope this helps!
what is the difference between a categorical and continuous variable?
HELP PLEASE ASAP HELP!!!!!!!!!!
AWARD: 100 POINTS GIVEN!!!!!!!!
Smith was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 850 points. The number of two-point field goals that Lindsey made was 57 less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 41 less than the number of two-point field goals she made. Find how many free throws, two-point field goals, and three-point field goals Lindsey Smith made during the 2006 regular season.
Answer:
She made 138, 179 two point field goals and 118
3-point field goals during the regular season
Step-by-step explanation:
Answer:
118, 138, and 179 points
Step-by-step explanation:
x = 3-point goals
2-point goals = 2x - 57
free throws = 2x - 57 - 41
3x + 2x * (2x - 57) + (2x - 57 - 41) = 850
3x + 4x - 114 + 2x - 98 = 850
9x = 1062
x = 118
2x - 57 = 2 * 118 - 57 = 179
2x - 57 - 41 = 138
ASAP PLZ
Melissa is driving on the highway at the legal speed of 65 mi/h. She notices there is an accident ahead approximately 200 feet away. Her reaction time is 0.75 of a second. Is she far enough away to bring the car to a safe and complete stop?
*Round your answers to 2 places after the decimal!
1 Reaction distance =
2 Breaking distance =
3 Total Stopping Distance =
4 yes or no
Answer:
You are asked to find the skid distance given the speed,
the drag factor, and the braking efficiency.
Step-by-step explanation:
Use the skid speed formula. S = √
_______
30Dfn
Substitute 50 for S, 1.2 for f,
and 0.9 for n. 50 =√
___________________
30 × D × 1.2 × 0.9
Simplify the expression under the radical. 50 = √
_______
32.4D
Jerrold ran a race that was 3 5/8 miles long. What is 3 5/8 written as a decimal?
Answer:
3.625
step by step explanation :
I just simply searched it up
find the distance between the 2 numbers on a number line. 6 and -4 1/4
Answer:
10 1/4
Step-by-step explanation:
[tex]6 - ( - 4 \frac{1}{4} )[/tex]
two negatives make a positive
[tex]6 + 4 \frac{1}{4} = 10 \frac{1}{4} [/tex]
-3b+7b+5= -19
I believe the answer is -6
Answer:
B = -6
Step-by-step explanation:
so yes, you're correct.
Define the following terms and give an example of each. 1) Exponent 2) Base 3) Power 5) Expanded form 6) Standard form 4) Exponential form plzzzzzzz help me plzz
Answer:
Exponent - "a quantity representing the power to which a given number or expression is to be raised"
Base - "The number that gets multiplied when using exponents"
Power - "The number of times you use the number in multiplication"
Expanded Form - "A way to write a number by adding the value of its digits"
Standard form - "A way of writing down very large or very small numbers easily."
Exponential form - "a shortcut way of writing repeated multiplication involving base and exponents"
Help ASAP I’ll mark you as brainlister
Answer: It would be about 10 cents an ounce.
Step-by-step explanation:
1.25/12 = ~.10
Is it
A) <1 and <3
B) <2 and <6
C) <1 and <2
D) <2 and <8
Answer:
B) Angles <2 and <6
Step-by-step explanation:
They are corresponding angles
jack want to buy a coat that cost 74.95 the sales tax rate in his city 61/2% what is the total costfor the coat
Answer:
$79.7468
Step-by-step explanation:
I can’t seem to find the right answer no matter what I try
Given that D, E, and F are the midpoints of their respective sides, and AC = 24, what’s the length of line segment DE?
Question options:
2 units
12 units
4 units
6 units
The ratio of their corresponding sides will remain constant. Then the measure of the side length DE is 12 units.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Given that D, E, and F are the midpoints of their respective sides of the triangle and AC = 24.
Then the length of line segment DE will be
We know that the triangle ΔABC is similar to the triangle ΔDBE. Then we have
BC = 2BE
Then the ratio of their corresponding sides will be
BE/BC = DE/AC
BE/2BE = DE/24
DE = 24/2
DE = 12
Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ1
A doctor has 12000 paitents .
4560 of these paintents are male .
What percentages of these paintents are female ?
Answer:
38
Step-by-step explanation:
Equation for percentage change is
Difference/total x 100
so 4560/12000x100=38%
Answer: i’m sure it’s 62%
Step-by-step explanation:
3/2(4x – 1) – 3x = 5/4 – (x + 2)
Write an equation for the line parallel to the given line that contains C.
C(-1,5); y = 8/9x+2
*
Answer:
y = 8/9x + 53/9
Step-by-step explanation:
5 = 8/9(-1) + b
45/9 = -8/9 + b
b = 53/9
HELP ME!!
Gavin jarred 6 liters of jam after 2 days. How many days did Gavin spend making jam if he jarred 24 liters of jam?
Answer: 8
Step-by-step explanation:
He made 3 a day so 3x8 is 24
Need help ASAP! Directions in picture;)
Answer:
it is 8
Step-by-step explanation:
A shape is shown on the graph: A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2 and 2, negative 6. Which of the following is a reflection of the shape? (5 points) Group of answer choices A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, negative 2 and negative 4, negative 2 and negative 4, negative 6. A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, 2 and 4, 2 and 2, 6. A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, negative 4 and negative 6, negative 4 and negative 6, negative 2. A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, 2 and 2, 4 and 6, 2.
Answer:
Step-by-step explanation:
the answers the second one.
Answer:
D
Step-by-step explanation:
the answer is d
Plsss help answer the question don’t just get the points and not answer my question Plss I’m struggling
Answer:
This is cheating
Step-by-step explanation:
First you follow what your teachers tell you to do and listen
Part E
? Question
How would the situation change if the interest on Emma's credit card were compounded annually
rather than monthly, and she didn't make any payments toward the balance?
Select the correct answer from each drop-down menu.
After 4 years, Emma would owe approximately $ M for her original purchase of $300.
It would take around years for her balance to increase from $300 to $450.
Answer:
$525
2.9 years
Step-by-step explanation:
This question is about financial management. It is to be noted that it would take around 2.9 years for her balance to increase from $300 to $450.
What is the calculation for the above?Note that according to the question,
After 4 years, Emma would owe about $525 for her original purchase of $300.
The equation will be:
300 * (1 + x)[tex]^{4}[/tex] = 525 (This is based on the compound interest formula_
⇒ (1+x)[tex]^{4}[/tex] = 7/4 (If we divide both sides by 300)
Hence
x = 0.1502
= 15.02%
When the balance ups from $300 to $450,
We can state that:
300 * ( 1+ 15.02%) [tex]^{y}[/tex] = 450
⇒ Hence, y = 2.9 years.
Learn more about financial management at:
https://brainly.com/question/17155837
#SPJ6
Can anyone help me with this question? please :)
On Tuesday at lunchtime, it was -10°C. By sunset, the
temperature had dropped 14°C.
Answer:
By sunset the temperature was -24
Step-by-step explanation:
The reason for this is you start off with -10, then the word dropping relates to subtraction, meaning that the equation is -10-14, and when you subtract a negative, you are actually adding to it, so you can drop the negative for now, and you have 10+14 which equals 24, then add the sign back in to get -24C.
Hope This Helps. I would know, figuring I am in High School Statistics.