The function that produces the sequence with n: [1,2,...,] is "f(n) = 9n + 17" (Option C). See the explanation below.
What is the explanation to the above answer?Note that we want a function which produces the sequence 26, 35, 44, 53, 62, if {1, 2, 3......n} is plugged into it.
Lets test the function with the integer 1:
9 (1) + 17
= 9+ 17
= 26 [Correct]
Lets true 2;
9(2) + 17
= 18 + 17
= 35 [Correct]
Lets try 3;
9 (3) + 17
= 27 + 17
= 44 [Correct]
Hence the selected function (Option C) is correct.
Learn more about sequences:
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if the value of a in the quadratic function f(x) = ax^2 + bx + c is 1/2, the function will:
Answer:
Open up and have a minimum
Step-by-step explanation:
If the x² coefficient is:
Positive, the graph will open up and have a minimum
Negative, the gaph will open down and have a maximum
Answer:
opens up and has a minimum
Step-by-step explanation:
Provided a is not 0, y=ax^2+bx+c will be a parabola.
The parabola will open up and have a minimum if a is positive.
The parabola will open down and have a maximum if a is negative.
Since 1/2 is positive, then your parabola opens up and has a minimum.
Explain why 0.25 ×0.4 has only one decimal in the product
Answer: Because a decimal times a decimal is always going to be smaller than the original decimal.
Step-by-step explanation:
An electrician needs 3/8 of a roll of electrical wire to wire each room in a house. How many rooms can he wire with 2 1/4 rolls of wire? Write your answer as a fraction or as a whole or mixed number.
Answer: 6 rooms
Step-by-step explanation:
3/8 rolls of wire are needed to wire a room in a house. If there are a total of 2¹/₄ rolls of wires, the number of rooms that could be wired is:
First convert to an improper fraction:
2¹/₄ = 9/4 rolls of wire
Total number of rooms that can be wired are:
= Total amount of wire available / Wires per room
= 9/4 ÷ 3/8
= 9/4 * 8/3
= 72 / 12
= 6 rooms
List the kinds of measurements have you worked with so far. Describe what area is. Describe what volume is.
How could you find the combined area of all faces of a three-dimensional shape? Give an example of why that would be a good measurement to know.
Answer:
In the passed I've used measurement cups, rulers, addition, subtration, and multiplication too.
Step-by-step explanation:
Stay Safe <3 =3 Can I maybe Get Brainliest?
Write [tex]cot^{2} x (1+tan^{2} x)[/tex] Then simplify the expression so no quotients appear
Step-by-step explanation:
From Trig
1 + tan²x = Sec²x
Also
Sec²x = 1/cos²x
Now
Cot²x = 1/tan²x = cos²x/sin²x
Putting all together
Cot²x(1+tan²x)
= Cot²x(sec²x)
= cos²x/sin²x(1/cos²x)
cos²x on the numerator and that one the denominator cancels out
we have
= 1/sin²x
From Trig
1/sin²x = cosec²x
So Our Answer = cosec²x.
Angel lives 3/4 miles from school he has already walked 1/6 mile. How much farther does angel need to walk to school
Answer:
7/12 miles
Step-by-step explanation:
3/4 and 1/6
find common denominator
9/12 and 2/12
subtract
7/12
PLEASE HELP! FIRST ANSWER GETS POINTS AND MARKED BRAINLIEST. If joe has 13 pieces of art but his teacher tells him to make 13 times more, how many does joe have to make?
Answer: 169 more?
Step-by-step explanation: I multiplied 13x13 and got 169
Someone please help will mark brainliest!!!
Answer: 50°
Step-by-step explanation: ur smart, u don’t need one, but if u really want one just comment on it and I’ll give u one :)
The box-and-whisker plot below represents some data set. What percenta data values are less than 66?
Given:
The a box-and-whisker plot if a data set.
To find:
The percentage of data values that are less than 66.
Solution:
From the given box-and-whisker plot, it is clear that the number 66 is the highest value of the data set.
It means all the values of the data set are less than 66 and no value can be more than 66.
All value means 100%.
Therefore, 100% of data values are less than 66.
If each triangle is the right Triangle yes or no?
Answer:
This is not a right triangle
Step-by-step explanation:
right triangle has a 90° angle and this triangle does not have a 90° angle
hey! i’ll give brainliest please help!
Answer:
eastern
Step-by-step explanation:
Answer:
Eastern!
Step-by-step explanation:
s
A cookie recipe calls for 3 cup of chocolate chips for every batch, and the baker can mix and
bake a batch every of an hour. How many cups of chocolate chips would the baker use if he
baked cookies for 6 hours?
Answer:
i think 18
Step-by-step explanation:
bc like 3 cups-1 hour
6 cups- 2 hours
...... .........
Write the ratios for sin X and cos X.
Answer:
[tex] \sin(X) = \frac{ \sqrt{119} }{12} \: , \: \cos(X) = \frac{5}{12} [/tex]
Answer:
Its the last choice.
Step-by-step explanation:
sin X = opposite side / hypotenuse
= √119/12.
cos X = adjacent side / hypotenuse
= 5/12.
Help with this problem pls
As x increasing y decreases.
As x decreases, y increases.
Please mark as the brainliest.
Hope it helps you.
Thank You
What is the solution of log(2f+4)=log(14-3f)
A)-18
B)-2
C)2
D)10
Answer:
f = 2
Step-by-step explanation:
equate the log
therefore,
2f + 4 = 14 - 3f
collect like terms
2f + 3f = 14 - 4
5f = 10
divide through by 5
f = 10/5
f = 2
Mr.Li bought a memory card for $138.89 including tax.The card had a sticker price of $129.20.What percent sales tax did he pay.
Answer:
7.5%
Step-by-step explanation:
Cost of memory card including tax = $138.89
Cost of memory card only = $129.20.
Cost of tax on memory card = Cost of memory card including tax - Cost of memory card only
= $138.89 - $129.20
= $9.69
Cost of tax on memory card = $9.69
What percent sales tax did he pay.
Percent of tax = Cost of tax on memory card / Cost of memory card only
= $9.69 / $129.20 × 100
= 0.075 × 100
= 7.5%
Percent of tax = 7.5%
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the
second equation is substituted into the first equation
3x + 2y = -21
x - 3y = 4
3(3y + 4) + 2y = -21
3(-3y + 4) + 2y = -21
3x + 2(3y + 4) = -21
3x + 2(-3y + 4) = -21
Answer:
answer is
3(3y+4) + 2y = -21 .
Which point has coordinates ( -5, -4) ?
Please help ASAP!!! I will give 20 points
Answer:
Y is your answer
Step-by-step explanation:
pls brainleist
Answer:
point Y
Step-by-step explanation:
√48m^4 n^3 p^4
simplify square roots
Answer:
4m^2np^2√3n
Step-by-step explanation:
PLZZZ HELPZZZZZZZZZZZZZZ
Answer:
option 1 , not correct
x + 3 > -7
x > -7 - 3
x > -10
x ={ - 9, - 8, - 7 . . .}
option 2, not correct
x - 3 ≤ -7
x ≤ -7 + 3
x ≤ -4
x = { -4, -5, -6 . . . }
option 3, not correct
x - 3 ≥ -4
x ≥ -4 + 3
x ≥ -1
x ={ -1, 0 , 1 , 2 . . .}
option 4, correct
x - 3 ≥ -7
x ≥ -7 + 3
x ≥ -4
x ={ -4, -3, -2 , -1 , 0 , 1 , 2. . . }
Find the area of this circle. Use 3.14 for pi . the circle is 72 in
Answer:
16277.76 in
Step-by-step explanation:
area
[tex]\pi \times {72}^{2} [/tex]
In ΔHIJ, j = 98 cm, h = 38 cm and ∠I=23°. Find the length of i, to the nearest centimeter.
Answer:65
Step-by-step explanation:
How many degrees does the hour hand of a clock turn between 3 p.m and 7:30 p.m ?
A clock has 12 hours on it.
360/12 = 30
Each hour is 30 degrees.
3pm to 7:30pm is 4.5 hours
Multiply total hours by degrees per hour:
4.5 x 30 = 135 degrees
Answer:
135 degree
Step-by-step explanation:
difference of 3pm to 7:30 is 4 hrs 30 min
12hrs=360degree
60min=360degree
4×360/12
=120
360/12×60×30
360×30÷720
15
now
120+15
135degree
If [tex]\frac{a+b}{3} =\frac{b+c}{6} =\frac{c+a}{5}[/tex] then prove that: [tex]\frac{a+b+c}{a} =7[/tex]
Answer:
[tex]\dfrac{a+b+c}{a} =7[/tex]
Step-by-step explanation:
Given :-
[tex]\dfrac{a+b}{3} =\dfrac{b+c}{6} =\dfrac{c+a}{5}[/tex]And we need to prove that ,
[tex]\dfrac{a+b+c}{a} =7[/tex]So let us assume that ,
[tex]\dfrac{a+b}{3} =\dfrac{b+c}{6} =\dfrac{c+a}{5}=k[/tex]
Where k is a constant . Now equate each of the three terms separately to k . Therefore we have ,
[tex]\dfrac{a+b}{3}=k[/tex][tex]\implies a + b = 3k \quad \dots (i) [/tex]
Similarly we can say that ,
[tex]\implies c + b = 6k \quad \dots (ii)[/tex]
[tex]\implies a + c = 5k\quad \dots (iii) [/tex]
Subtracting (i) and (ii) :-
[tex]\implies a - c = -3k \quad \dots (iv) [/tex]Adding (iv) and (iii) :-
[tex]\implies 2c = 4k [/tex]
[tex]\implies \boxed{c = 4k }[/tex]
Put this is (ii) :-
[tex]\implies b +4k = 6k [/tex]
[tex]\implies \boxed{b= 2k }[/tex]
Similarly we will get ,
[tex]\implies \boxed{a = k }[/tex]
Proving the given equation :-
[tex]\implies \dfrac{a+b+c}{a} \\\\\implies \dfrac{k+2k+4k}{k} \\\\\implies \dfrac{7k}{k}=\boxed{\red{ 7}}[/tex]
Hence proved !
Which equations are true? Choose all that apply.
A. 15^0=15
B. (8^3) (8^6)= 8^9
C. 5^2 = 1/5-3
D. (6^5)^3 = 6^15
E. 3^7/3^9 = 3^-2
Answer:
B, D, E
Step-by-step explanation:
A) anything to the zero power equals one
B) when bases are the same and being multiplied, add their exponents
C) 5² = 25
D) when parentheses separate exponents, they should be multiplied
E) when bases are the same being divided, subtract their exponents
Jayden has $20.56. He buys an apple for $0.79 and a granola bar for $1.78. How much money does Jayden have now? A
$2.57
B
$17.99
C
$18.01
D
$23.13
Answer:
B:
$17.99
Step-by-step explanation:
Add the total amount spent: $0.79 (apple)+ $1.78 (granola bar)=$2.57
Subtract from the money Jayden has: $20.56-$2.57=$17.99
Hope This Helps!!
If you went to a dinner with 4 choices of appetizers, 5 main courses, and 2 desserts... the
number of meal options is an example of......
1.Counting Pr inciple
2.Permutation
3.Combination
Answer:
1. counting principle
Step-by-step explanation:
-----
Can someone help solve this?
Answer:
C
Step-by-step explanation:
https://www.blooket.com/play?id=658244
Copy and paste
All right answers
Appropriate names please!!
Answer:
ok
Step-by-step explanation:
Which line on the graph represents the equation y + 4 = -2x/3
Answer:
The answer is line D
Step-by-step explanation: