Answer:
5
Step-by-step explanation:
3a+5=20 -5
3a=15 /3
a=5
Complete the recursive formula of the arithmetic sequence -15, -11, -7, -3,...−15,−11,−7,−3,...minus, 15, comma, minus, 11, comma, minus, 7, comma, minus, 3, comma, point, point, point. c(1)=c(1)=c, left parenthesis, 1, right parenthesis, equals c(n)=c(n-1)+c(n)=c(n−1)+c, left parenthesis, n, right parenthesis, equals, c, left parenthesis, n, minus, 1, right parenthesis, plus
Answer:
c(1) = -15
c(n) = c(n - 1) + 4
Step-by-step explanation:
Given arithmetic sequence is,
-15, -11, -7, -3...........
Common difference between each successive and previous term is,
d = -11 - (-15)
= -11 + 15
= 4
Since recursive formula of the arithmetic sequence is represented by,
a₁ = First term of the sequence
a(n) = a(n - 1) + d
where a(n) is the nth term and a(n-1) is the previous term of the nth term.
Form the given sequence,
c₁ = -15
c(n) = c(n - 1) + 4
Step-by-step explanation:
Derivative of tan^2 x
Answer:
[tex]2sec^2xtanx[/tex]
Step-by-step explanation:
[tex]\frac{d}{dx} tan^2x[/tex]
[tex]\frac{d}{dx} tanxtanx[/tex]
[tex](\frac{d}{dx}tanx)(tanx)+(tanx)(\frac{d}{dx}tanx)[/tex]
[tex]\frac{d}{dx}tanx=\frac{d}{dx}\frac{sinx}{cosx}=\frac{(cosx)(cosx)-(sinx)(-sinx)}{(cosx)^2}=\frac{cos^2x+sin^2x}{cos^2x}=\frac{1}{cos^2x}=sec^2x[/tex]
[tex](sec^2x)(tanx)+(tanx)(sec^2x)[/tex]
[tex]2sec^2xtanx[/tex]
Helpful tips:
Product Rule: [tex]\frac{d}{dx}f(x)g(x)=f'(x)g(x)+f(x)g'(x)=\frac{d}{dx}f(x)*g(x)+f(x)*\frac{d}{dx}g(x)[/tex]
Quotient Rule: [tex]\frac{d}{dx}\frac{f(x)}{g(x)}=\frac{g(x)f'(x)-f(x)g'(x)}{(g(x))^2}=\frac{g(x)\frac{d}{dx}f(x)-f(x)\frac{d}{dx}g(x)}{(g(x))^2}[/tex]
Pythagorean Identity: [tex]cos^2x+sin^2x=1[/tex]
due in 1 hour please help
Answer:
1 2 3 4 = 123.23
Step-by-step explanation:
Solve the following system of equations:
Answer:
The correct answer is option B: (-1, -1).
Step-by-step explanation:
The easiest way to solve this system is using elimination, or by adding the two equations together. We don't have to modify the equations at all, since the x's will already cancel out as written.
Upon addition, we get:
9y = -9
If we solve the equation by dividing both sides by 9, we get:
y = -1
To find the x value, we can substitute this value back into either of our original equations.
6x + 4y = -10
6x - 4 = -10
To solve for x, we should isolate the variable, or get it alone on one side of the equation.
6x = -6
x = -1
Therefore, the solution to the system of equations is x = -1 and y = -1, or (-1, -1), which is option B.
What is auto insurance?
Answer:
the second option.
a policy that pays to get your vehicle replaced or repaired incase of an accident.
Step-by-step explanation:
9. A box of cereal weighs 600 grams. How much is this weight in pounds?
Explain or show your reasoning. (Note: 1 kilogram = 2.2 pounds)
Answer:
1.323 pounds I think I'm not too sure thi sorry
Answer:
1.32 pounds
Step-by-step explanation:
convert 1kg to 1000g
[tex]1000g = 2.2pounds[/tex]
Find out how many pounds per 100g
[tex]100g = 0.22 \: pounds[/tex]
multiply by 6 to get 600g and multiply right hand side of the equation as well
[tex]600g = 0.22 \times 6[/tex]
[tex]600g = 1.32 \: pounds[/tex]
Pls help Don’t put the answers in files thank you
Answer:
hmmm
Step-by-step explanation:
hmmm
Hogie lizards have tail lengths that are normally distributed with a mean of 22.5 cm and a standard deviation of 3.6 cm. What tail length is at the 40th percentile for these lizards?
A tail length of 23.94 cm is at the 40th percentile for these lizards.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x\ is\ raw\ score, \mu\ is\ mean,\sigma\ is\ standard\ deviation\\\\\\Given\ that:\\\mu=22.5\ cm,\sigma = 3.6\ cm[/tex]
For the 40th percentile, that is z = 40% = 0.4:
[tex]0.4=\frac{x-22.5}{3.6} \\\\x=23.94\ cm[/tex]
A tail length of 23.94 cm is at the 40th percentile for these lizards.
Find out more at: https://brainly.com/question/15016913
Find the equation of the line passing through point (-1, -2) and having
slope 1/5. Show work.
Answer:
Y=1/5x+ -2
Step-by-step explanation:
Hope this helps
Jamie is x years old. His friend Ana is the same age.
Enter an expression in the box to represent the sum of Jamie's and Ana's ages.
Explanation:
Each person is x years old. Adding those unknown ages gets us x+x = 2x
We can think of it like x being one box, so x+x represents having two boxes which shortens to 2x.
(x-3)^2=5 ? confused
[tex](x-3)^2=5\implies \sqrt{(x-3)^2}=\sqrt{5}\implies (x-3)=\sqrt{5}\implies x = \sqrt{5}+3[/tex]
Evaluate 3x2 - 2xy + 4y2 for x = -1 and y = -2. .
Answer:
The answer is 12
Step-by-step explanation:
3x² - 2xy + 4y²
Let x = -2
y = -1
3(-2)² - 2(-2)(-1) + 4(-1)²
= 3(4) - 2(2) + 4(1)
= 12 - 4 + 4
= 12
Can someone help me please I will mark u brilliant
Answer:
i believe it would be likely
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
what is the equivalent factor of 21 +99
Answer:
3(7+33)
Step-by-step explanation:
Which expression is equivalent to (3 the square root of 2^5)^1/4
A- 2 5/12
B- 2 12/5
C- 2 2/20
D- 2 3/4
Determine whether each sequence is geometric. Explain.
256, 128, 64, 32, ...
Answer:
Its geometric because each number is being divided by 2.
What is the missing addend what +10=235
A group of pupils calculated their average score for a Mathematics
test. If one of them scored 9 marks more, their average score would
be 81. If one of them scored 3 marks less, their average score would
be 78. How many pupils were there in the group?
Answer: 4
Step-by-step explanation: +9-(-3)=12
81-78=3
so 12/3=4
c-3=6
x+8=18
y-5=4
Please Show your Work For each problem.
Answer:
1. 9
2. 10
3. 9
Step-by-step explanation:
c-3=6
+3 +3
-----------
c = 9
x+8=18
-8 -8
------------
x = 10
y-5=4
+5 +5
------------
y = 9
hope this helps! :D brainliest would be very, very much appreciated!! <3
The school bus goes 300 miles in 5 hours. What
is the average miles per hour?
Answer:
60 average miles per hour.
Step-by-step explanation:
300÷5=60
Hope this helps!
Charles wants to buy an anime book that is on sale for $14.99. Her sister kyra wants to buy a novel book for $17.99. Both of them has to pay a 7% tax. Kyra has a coupon for 15% discount. Whats the difference between the amount that each siblings has to pay?
Answer:
The difference between their total amounts is .34 cents
also it didnt look like i was supposed to count a discount for charles so i didnt :)
Step-by-step explanation:
Charles14.99 times .07 = 1.04
14.99 + 1.04 = 16.03
Kyra17.99 times .15 = 2.69
17.99 -2.69 = 15.30
15.30 times .7 = 1.07
15.30 + 1.07 = 16.37
16.37 - 16.03 = .34
What is 26% as a fraction in simplest form?
A. 26/100
B. 26/10
C. 6/25
D. 13/50
Answer:
it'd be d: 13/50 !!
Answer:
D. 13/50
Step-by-step explanation:
0.26 ⇔ 26/100 ⇔ 13/50
If the Ending Inventory increases and everything else remains the same, what happens to the Food Cost?
An increase in the ending inventory will cause the cost of food sold at the end of the year to appear lower that it really is.
The cost of goods ( example, food) is directly affected by the amount of inventory at the end of an account period.
If the ending Inventory increases and everything else remains the same, the cost of goods sold is calculated as follows;
cost of food sold = Benning inventory + purchases - ending inventory
From the equation above, an increase in the ending inventory will cause the cost of food sold at the end of the year to appear lower that it really is.
Learn more about ending inventory here: https://brainly.com/question/24868116
I need help!! 6-10!!!!!!!!!!!!!!!!
Which function has a greater rate of change?
Answer:
A
Step-by-step explanation:
Because
Answer:
Step-by-step explanation:
it’s a
The total length of 3 pipes is 24 inches. The middle-sized pipe is 6 inches longer than the smallest. The largest is twice as long as the smallest. How long is the middle-sized pipe?
Estimate the quotient. 2,506 / 2
Answer:
1253
Step-by-step explanation:
2500/2 is 1250.
so 2506/2 will be a bit above.
1253 is an estimate
In a class of 50 students, suppose 27 are right-handed, 9 are left-handed, and 14 are ambidextrous. All but 2 of the left-handed are also left-foot dominate. If one student is randomly selected from the class. find the probability of choosing a left-handed student who is right-foot dominate
Write the following as a mathematical sentence. Use the letter n as your variable.
Seven less than a number is two.
Answer:
n-7=2
Step-by-step explanation:
We can start with one side, which is: seven less than a number
Since the number is n, seven less than it is n-7
The other side 2, as we can see after the word is
The equation, therefore, is
n-7=2
212 + 115 × 6 + 968 HELP ME please!
Answer:
1870
Step-by-step explanation:
Answer : 1,870
Step - by - step explanation :
When there is multiple math signs in a problem you use PEMDAS . . .
Parentheses, Exponents, Multiplication and Division ( from the left side to right ), Addition and Subtraction ( from the left side to right )
212 + 115 x 6 + 968 --> 212 + 690 + 968
212 + 690 + 968 --> 902 + 968
902 + 968 --> 1,870