Given:
The first four terms of a sequence are:
8, 5, 2, -1
To find:
The function that defines the given sequence.
Solution:
We have,
8, 5, 2, -1
The differences between two consecutive terms are:
[tex]5-8=-3[/tex]
[tex]2-5=-3[/tex]
[tex]-1-2=-3[/tex]
The given sequence has a common difference -3. It means the given sequence is an arithmetic sequence with first term 8 and common difference -3.
The nth terms of an arithmetic sequence is:
[tex]f(n)=a+(n-1)d[/tex], for [tex]n\geq 1[/tex]
Where, a is the first term and d is the common difference.
Putting [tex]a=8,d=-3[/tex], we get
[tex]f(n)=8+(n-1)(-3)[/tex]
[tex]f(n)=8-3(n-1)[/tex]
[tex]f(n)=-3(n-1)+8[/tex], for [tex]n\geq 1[/tex]
Therefore, the correct option is A.
Evaluate: f(2) =
Helpppp
Answer:
32
Step-by-step explanation:
A random sample of 18 adults, chosen from the 1500 adults in the town, took a survey asking their opinion on a recent property tax change. 25% of those who responded said they were in favor of the change. The company running the survey wants to construct a confidence interval estimating the proportion of all adults in the town who support the change. Which of the conditions for inference have been satisfied?
Answer: Random condition
10% condition
Step-by-step explanation:
The conditions for inference that have been satisfied will be:
• Random condition: This has been satisfied since a random sample of 18 adults were taken from 1500 adults.
• 10% condition: Since 25% of those who responded said they were in favor of the change, then the 10% condition is satisfied.
PLSSS HELP ASAP I NEED HELP
In the past, the mean running time for a certain type of flashlight has been 9.2 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. They hypotheses are as follows. Explain a type 2 error.
Answer:
what are the hypotheses?
Step-by-step explanation:
you said the hypotheses are as folows its not there
What is the domain and range of each relation?
Drag the answer into the box to match each relation.
The equation of three other functions are given which function or functions have a slope equal to the slope of Function 1
Answer:
See Explanation
Step-by-step explanation:
Required
Function(s) with the same slope as function 1
The question is incomplete as function 1 and the three additional functions are not given.
However, I will provide a general explanation.
A slope is represented as:
[tex]y = mx + b[/tex]
Where
[tex]m \to[/tex] slope
So, considering the following equations
[tex]y = 2x + 3[/tex]
[tex]y = \frac{3x}{2} + 9[/tex]
[tex]y = 2x - 5[/tex]
[tex]y = -2x + 3[/tex]
The following equations have the same slope
[tex]y = 2x + 3[/tex] and [tex]y = 2x - 5[/tex]
Because: [tex]y = mx + b[/tex] implies that:
[tex]m = 2[/tex] for [tex]y = 2x + 3[/tex] and [tex]y = 2x - 5[/tex]
need to find lateral area but i don’t know how.Please help
Answer: 37.69911184
Step-by-step explanation: π(4)(3) = 12π = 37.69911184
The question was not clear for me! Help :(
Answer:
0.1 , 0.2 , 0.05
Step-by-step explanation:
*each column adds to 1*
20 x 1/2 = 10
1/2 x 20 x 0.1 = 1
top left box = 0.1
; 5 x 2 x 0.1 = 1
1/2 x 10 = 5
; 0.2 x 1/2 x 10 = 1
bottom middle box = 0.2
; 5 x 1 x 0.2 = 1
; 2 x 10 x 0.05 = 1
middle right box = 0.05
; 20 x 1 x 0.05
Answer the question right for brainliest
Answer:
3 to the power 9 is the answer
Answer:
[tex] 3^9 [/tex]
Step-by-step explanation:
[tex] 3^8 \times 3 = 3^8 \times 3^1 = 3^{8 + 1} = 3^9 [/tex]
For Triangle ABC, if AB = 14 mm, BC = 9 mm, and CA = 15 mm, what is the SMALLEST angle measure?
Answer:
9 mm
Step-by-step explanation:
The smallest leg usually has the smallest angle and the largest leg (the hypothese i.dk how to spell) usually has the largest angle
Find the value of y when x=3.
y=10-3x
y=
Answer:
10
Step-by-step explanation:
A ladder that is 30 feet long needs to reach a 25 foot tall building. What angle is formed by the ladder and the ground if you place the ladder so it lies directly against the top of the building? Round your answer to the nearest degree.
Answer:
56°
Step-by-step explanation:
25^2 + b^2 = 30^2
625+b^2 = 900
b^2 = sq 275
b^2 =16.6
acos(cos⁻¹) (16.6/30).
HELP ME . Help me please
Answer:
Top right corner
Step-by-step explanation:
a circle is graphed on a coordinate grid and tgen reflected across the y-axis. if the center of the original circle was located at (x,y). which ordered pair represents the center of the new circle after the transformation
Answer:
The new center is the point (-x, y)
Step-by-step explanation:
When you reflect a point across the y-axis, the x-coordinate changes to its opposite (additive inverse).
See the attached image for an example.
The circle on the right has center (3, 1). When reflected across the y-axis, the reflected center is (-3, 1).
its me arg i need help
Answer:
x=8
Step-by-step explanation:
so since the whole thing should equal 180, and the right triangle is 90,
(3x+11)+(5x+15)=90 then solve for that
8x+26=90
8x=64
divide both sides by 8
so x=8
then plug in 8 for the xs so c is 3(8)+11 --> 24+11 so m<C=35*
m<D=90*
5(8)+15 40+15 so m<E=55
An accountant earns an annual salary of $78, 252. Find her gross monthly salary.
Answer:
she gets paid 6,521 a month
Step-by-step explanation:
just divide 78,252 by 12
Explanation:
Divide the given value by 12 to get the answer. This is the salary before taxes and such. The net salary is after taxes are taken away.
I’ll give brainly
Find the indicated side of the triangle.
10
b
45°
а
b =
[?]
=
Answer:
take 45 degree as reference angle
use sin rule
sin 45=opposite/hypotenuse
1/[tex]\sqrt{2}[/tex]=b/10(do cross multiplication)
b[tex]\sqrt{2}[/tex]=10
b=10/[tex]\sqrt{2}[/tex]
Step-by-step explanation:
inez sells 24.8 acres of land for 22,568 what is the price per acre
Answer:
£910
Step-by-step explanation:
You have to divide the amount of acres by the overall price.
Hope this helped
A game company gave each customer one game to test and asked whether he or she would recommend the game. What is the probability that a customer who would recommend his or her game tested Game A?
Answer:
1/2 = 0.5
Step-by-step explanation:
Given that the game company gave each customer a single game for testing
There is definitely just two outcomes, i.e. the customer will either recommend the game or Not recommend the game.
since we do not have additional information regarding what might influence the decision of the customer, hence the probability of either recommending the tested game or not recommending the game will be equal
∴P ( recommending tested game ) = 1 - 0.5 = 0.5
Can someone please help me?
Answer:
Hello! answer: 21.4
Hope that helps!
Pls help me! Look at this ss
Answer:
4
Step-by-step explanation:
The volume of a cube is 571.787 cubic inches. What is the length of each side of the cube?
Answer:
8.8in
Step-by-step explanation:
cube 571.787
which expression is equivalent to 4+x+x+2x+5+3+x?
A.17x
B.5x+14
C.4x+14
D.2x+15x
[tex]\boxed{B.\:5x\:+\:12}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]4 + x + x + 2x + 5 + 3 + x \\ = (x + x + 2x + x) + 12 \\ since \: they \: are \: like \: terms, \: we \: can \: add \: them \\ = 5x + 12[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
My bill at the hair salon came to $110. If I tip my stylist 20% what will the total bill be
Answer:
I think it would be 132
Step-by-step explanation:
20% of 110=22 (22+110)=132
Five pumpkins have the following weights: 12 lbs, 15 oz, 9 lbs, 2 lbs, and 96 oz.
Move the weights so they are in order from lightest to heaviest.
What are these weights from lightest to heaviest
Answer:
15, 96, 2, 9, 12.
The current in a certain resistor is 0.50A when it is connected to a potential difference of 110V. If the operating potential is 130V, the current in the same resistor is
Answer:
0.59 A
Step-by-step explanation:
The current in a certain resistor is 0.50 A
The potential difference is 110v
The operating potential is 130v
The current in the same resistor can be calculated as follows
= 110/0.50
= 220
= 130/220
= 0.59
Hence the current is 0.59 A
Decide if the following biconditional statement
is true or false;
A triangle is equilateral if and only if three sides
are congruent.
True
False
Answer:
True
Step-by-step explanation:
Pretty sure it's true.
A tool box has the dimensions of 10 in by 4 in by 7 in. If Magnus plans to double all three dimensions to build a larger tool box, he believes he would double the volume of the tool box. Is he correct?
Answer: No. He's wrong.
Step-by-step explanation:
Since the tool box has the dimensions of 10 in by 4 in by 7 in. The volume will be:
= 10 × 4 × 7
= 280in³
When the dimensions are doubled, the new dimensions will be:
10 in = 10in × 2 = 20in
4in = 4in × 2 = 8 in
7in = 7in × 2 = 14in
The volume will now be:
= 20 × 8 × 14
= 2240in³
He is wrong, the volume isn't the double of the former tool box. The double of the former tool box will give (280in³ × 2) = 560in³. This is different from the new volume.
NEED ASAP
The arithmetic mean of the monthly salaries of two people is $4444. One person earns $3191 per month. What is the monthly salary of the other person?
Question 2
A rectangular piece of board is 0.894 m long and 0.665 m wide. Which of the following
shows the board's dimensions, each written to one decimal place?