Answers
Answer:
[tex]a_{n}[/tex] = 5n - 22
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = - 12 , then
a₁ + d = - 12 , that is
a₁ + 5 = - 12 ( subtract 5 from both sides )
a₁ = - 17
Thus
[tex]a_{n}[/tex] = - 17 + 5(n - 1)
= - 17 + 5n - 5
= 5n - 22
Related Questions
4n + 1= 25 how do I solve this and show my work?
Answers
Answer:
n=6
Step-by-step explanation:
4n + 1= 25
Move constant to the right
4n=25-1
Calculate
4n=25-1
Then divide on both sides
Answer:
Today: Friday, 06 November 2020
Hour: 09.44 WIB (Indonesia)
_______________________________
4n + 1 = 25
4n = 25 - 1
4n = 24
n = 24/4
n = 6
Wriye the equation Y=-4/5x-6
Answers
Answer:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = − 5Y/4 − 15/2
25
50
75
100
y
5
10
15
20
Write an equation to represent the proportional relationship.
Answers
i apologize if it’s wrong
How many 1/2 cups servings are in a box of cereal that contains 7 1/4 cups of cereal?
Answers
Answer:
14 1/2
Step-by-step explanation:
7 1/4 is the whole, to find how many 1/2 cups would fill it, you do 7 1/4 divided 1/2
7.0 is ten times as much as
Answers
Answer:
0.7
Step-by-step explanation:
Answer:
0.7
Step-by-step explanation:
e2020
PLEASE HELP
HELPP!!!!
Answers
Answer:
Equilateral, Isosceles, Scalene, Scalene, 1,620°, 102°
Step-by-step explanation:
(30 points!) list the angles least to greatest
Answers
Answer:
Step-by-step explanation:
A
how do you write -5 1/100 as a decimal?
Answers
Answer:
The answer is -5.01
Answer: my friend I gotchu
Step-by-step explanation:
-5 would convert into -5.
1/100 = 0.01
so together it would be
-5.01
Which expression represents the perimeter of the rectangle shown below
Answers
Answer:
D. 2x² + 10x - 2
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Length = x² + 3x - 2
Width = 2x + 1
Perimeter = 2(x² + 3x - 2 + 2x + 1)
Perimeter = 2(x² + 5x - 1)
Perimeter = 2(x²) + 2(5x) - 2(1)
Perimeter = 2x² + 10x - 2
According to the law of reflection, if the angle of incidence of an incoming ray
of light hitting a mirror is 46°, what is the angle of reflection for the same ray
leaving the mirror?
O A. 180°
O B. 46
O C. 44
O D. 134°
Answers
Answer:
B. 46°
Step-by-step explanation:
[tex] \underline{ \bf{LAWS \: OF \: REFLECTION}}[/tex]
Angle of reflection (angle between reflected ray and the normal to the reflecting surface) equals to the angle of incidence (angle between incident ray and normal).[tex] \boxed{\bf{\angle i = \angle r}} [/tex]
The incident ray, reflected ray lie in the same plane with normal to the reflecting surface.Here, if the angle of incidence of an incoming ray of light hitting a mirror is 46°, then the angle of reflection for the same ray leaving the mirror is also 46°.
What is the law of reflection?We know that according to the law of reflection, the angle of incidence and the angle of reflection are equal whenever a light ray reflects off a surface.
How to solve this problem?Here the angle of incidence of an incoming ray of light hitting a mirror = 46°
Using the law of reflection, we can conclude that the angle of reflection = 46°
Therefore if the angle of incidence of an incoming ray of light hitting a mirror is 46°, then the angle of reflection for the same ray leaving the mirror is also 46°. So, option B is correct.
Learn more about the law of reflection here -
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Can anyone help me on my slope maze for algebra class
Answers
Answer:
see attached
Step-by-step explanation:
Solved in attachment
Victor has quarters, dimes and pennies in his pocket. He has three times fewer pennies than dimes and he has 4 fewer quarters than pennies. How many coins does he have total if they are worth $4.60?
Answers
Answer:
Let's define the variables :
Q = number of quarters that Victor has
P = number of pennies that victor has
D = number of dimes that victor has.
We know that:
"He has three times fewer pennies than dimes"
P = D*3
"he has 4 fewer quarters than pennies."
Q = P - 4
And we know that in total, he has $4.60, then:
Q*$0.25 + P*$0.10 + D*0.05 = $4.60
Then we have a system of equations:
P = D/3
Q = P - 4
Q*$0.25 + P*$0.01 + D*0.10 = $4.60
To solve this, we need to replace variables in order to eliminate them.
We can start by replacing the first equation into the other two:
Q = D/3 - 4
Q*$0.25 + (D/3)*$0.01 + D*0.10 = $4.60
Now we can replace the top equation into the bottom one:
(D/3 - 4)*$0.25 + (D/3)*$0.01 + D*0.10 = $4.60
And now solve this for D:
D*($0.25/3 + $0.01/3 + $0.10) -$1 = $4.60
D*$0.1866... = $4.60 + $1.00 = $5.60
D = $5.60/$0.1866... = 30
Then he has 30 dimes.
P = D/3 = 30/3 = 10 pennies
Q = P - 4 = 10 - 4 = 6 quarters.
In total he has 30 + 10 + 6 = 46 coins.
True or False please ❗️
Answers
Answer:
true
Step-by-step explanation:
Answer:
It might be a trick question but if not, it is false.
Step-by-step explanation:
If you look closely you can see that L' is 4 units above the x-axis and not 3.
Colette has multiple sources of credit card debt and wants to combine her payments and lower her overall interest rate. Which type of loan
would be the best for her to inquire about?
Answers
the answer is consolidation loan
Answer:
A. consolidation loan
Step-by-step explanation:PLATO
In the diagram, lines m and n are parallel. What is the measure of w?
Answers
Answer:
35 degrees
Pleaase seek help u need to be smarter than this giv me brainilest
If there are 12 inches in a foot, how many inches are in 64 feet?
Answers
Answer:
768
Step-by-step explanation:
64*12
Answer:
768
Step-by-step explanation:
12x64=768
-5n - 2 =38.... how dobi solve this problem and show my work
Answers
Answer:
[tex] \boxed{ n =- 8}[/tex]
Step-by-step explanation:
[tex]-5n - 2 =38 \\- 5n = 38 + 2 \\ -5n = 40 \\ n = -\frac{40}{5} \\ \boxed{ n =- 8}[/tex]
♨Rage♨
Answer:
Today: Friday, 06 November 2020
Hour: 09.42 WIB (Indonesia)
_______________________________
-5n - 2 = 38
-5n = 38 + 2
-5n = 40
n = 40/-5
n = -8
5.
To make 1 pitcher of lemonade, Joel used 2 cups of lemon
juice and 5 cups of water. Which fraction shows the ratio
of cups of lemon juice to cups of water used in each
pitcher of lemonade?
Answers
Answer:
2/5
Step-by-step explanation:
2 cups of lemon juice to 5 cups of water.
I need help!!
what order do these go it?
Answers
Answer:
1) y = 3/4x -3/2
2) y = -4/3x + 2
3) y = 4/3x + 2
4) y = -3/4x - 3/2
Step-by-step explanation:
What is the sum of F(X) and G(x) if F(x) = 8x ^ 3 + 7x ^ 2 - 11x + 20 and G(x) = - 5x ^ 3 - 4x ^ 2 - 17
Answers
Answer:
[tex]3x^{3}+3x^{2}-11x+3[/tex]
Step-by-step explanation:
f(x) + g(x) = [tex]8x^{3}+7x^{2}-11x+20-5x^{3}-4x^{2}-17[/tex]
To make this equation a little less long, we combine like terms
[tex](8-5)x^{3}+(7-4)x^{2}-11x+(20-17)[/tex]
or just
[tex]3x^{3}+3x^{2}-11x+3[/tex]
What is the length of AC?
Answers
Need help with this math problem. Look at the picture.
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{ {3}^{4} \times {v}^{2 \times 4} }{ {w}^{4 \times 4} } = \frac{81 {v}^{8} }{ {w}^{16} } \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Suppose a local pizzeria delivers pizzas every day of the week and their delivery times are normally distributed with a mean of 30 minutes with a standard deviation of 4 minutes. Determine the interval that contains the middle 80% of delivery times.
Answers
Answer:
interval in minutes = (24.88, 35.12)
Step-by-step explanation:
we can use the following formula:
interval = population mean ± (z · σ)
population mean = 30 minutesz for 80% = 1.28σ = 4 minutesinterval = 30 minutes ± (1.28 · 4 minutes)
interval in minutes = (30 - 5.12), (30 + 5.12) = (24.88, 35.12)
f(2)=3x^2-6x+2
I need help!!!
Answers
Answer:
2
Step-by-step explanation:
substitute x by the value in the function, here its f(2) so
3(2)^2 - 6(2)+2
= 12 - 14 = 2
which of the following is equal to 11-2?
112
121
-121
1/112
Answers
Answer:
112
Step-by-step explanation:
Solve 12x + 6 2 9x + 12.
A. X2
B. xs2
O
C. X26
0
D. Xs6
SUBNANT
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are these answers correct
Answers
Answer:
yes they r
Step-by-step explanation:
................... .
Trina earns $28.50 tutoring for 3 hours. Write an equation relating her earrings "m" to the number of hours "h" she tutors. Assuming the situation is proportional, how much would Trina earn tutoring for 2 hours? For 4.5 hours?
Answers
Answer:
Step-by-step explanation:
28.50/3=9.50 dollars per hour
y=9.50h
Trina earns $19.00 for 2 hours
Trina earns $42.75 for 4.5 hours
Answer:
If Trina earns $28.50 in 3 hours, that means she earns $9.50 per hour.
9.50h = m ---> earnings = 9.50 x hours
2 hours = 9.50 ( 2) = $19
4.5 hours = 9.50 ( 4) = $42.75
Step-by-step explanation:
A teacher spends 5/6
hour grading 3/5
of a student’s essay. At this rate, how long does it take the teacher to grade the student’s entire essay?
Answers
5/6 of an hour is 50 minutes
50 divided by 3 = 16.6 (recurring decimal)
16.6 (recurring decimal) x 5 = 83.3 (recurring decimal)
Solve 8x+ c = k for x.
A. X = 8(6+C
B. X
kic
8
C. = 818-C)
D. *E
K-c
8
Answers
8x + c = k
Subtract c.
8x = k - c
Divide 8 from both sides.
x = k - c / 8
A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance from
point A to point Cis 16 ft.
12 it
8
15 ft
What is the distance from point A to point B in feet?
A. 8ft B.7ft c.9ft D.6ft
Answers
Answer:9 ft
Step-by-step explanation:
The requried measure of the AB is given as 7ft. Option B is correct.
What are Pythagorean triplets?In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.
Here,
From the diagram, applying Pythagoras' theorem to the right rectangle,
BC² = 15² - 12²
BC² = 81
BC = 9
Now,
AC = 16
AB + BC = 16
AB + 9 = 16
AB = 7 ft
Thus, the requried measure of the AB is given as 7ft. Option B is correct.
Learn more about Pythagorean triplets here:
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