Answer:
The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
[tex]a_n=8n+1[/tex]Step-by-step explanation:
Given the sequence
9, 17, 25, 33
a₁ = 9
Determining the common difference
d = 17-9 = 8
d = 25-17 = 8
d = 33-25 = 8
As the common difference between the adjacent terms is same and equal to
d = 8
Therefore, the given sequence is an Arithmetic sequence.
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting a₁ = 9, d = 8 in the equation
[tex]\:a_n=9+8n-8[/tex]
[tex]a_n=8n+1[/tex]
Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
[tex]a_n=8n+1[/tex]if 50% is 100 what is 25%, 75%, and 100%
Step-by-step explanation:
25%=50
75%=150
100%=200
hope it helps
mark me brainliest
Is this correct? If not plz get answers 25points!!!
That is correct.
Sqrt 5 x sqrt20
Apply the radical rule to get sqrt( 5 x 20)
Simplify to get sqrt(100)
Sqrt(100) = 10
Can somebody help me with this problem
Answer:
42/6=7
Step-by-step explanation:
You are dividing 42 by 6, since only 6 can sit at a table
Below is a diagram of Justin's garden. What is the area of his garden?
Answer:
230 ft²
Step-by-step explanation:
(20 * 10) + (26-20)*(10-7) = 200 + 18 = 218
(32*14) - 218 = 230
Solve for y: 2x - y = 5
Answer:
Step-by-step explanation:
Answer:
y = 2x - 5
Step-by-step explanation:
2x - y = 5
=> 2x = 5 + y
=> 5 + y = 2x
=> y = 2x - 5
What are the interest cost and the total amount due on a six-month loan of $1,800 at 14.4 percent simple annual interest
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Principal (P)= $1,800
Number of periods (t)= 6 months
Monthly interest rate (r)= 0.144/12= 0.012
To calculate the interest to be paid and the total amount due, we need to use the following formula:
I= P*r*t
I= 1,800*6*0.012
I= $129.6
Total amount= $1,929.6
Find the point of intersection for the two functions through substitution. Show
your work
f(x) = -4x + 7
g(x) = 2x + 13
PLEASE HELP ME AND SHOW WORK I WILL MARK YOU THE BRAINLIEST!
This means x = -1 and y = 11 pair up together.
================================================
Work Shown:
Set the two functions equal to one another. Solve for x.
f(x) = g(x)
-4x+7 = 2x+13
7 = 2x+13+4x ... adding 4x to both sides
7 = 6x+13
7-13 = 6x .... subtract 13 from both sides
-6 = 6x
6x = -6
x = -6/6 ... divide both sides by 6
x = -1
Use this x value in either function
f(x) = -4x+7
f(-1) = -4(-1)+7
f(-1) = 11
or
g(x) = 2x+13
g(-1) = 2(-1)+13
g(-1) = 11
Whichever function you pick, the input x = -1 leads to the output y = 11.
The point of intersection is (x,y) = (-1, 11)
Visual confirmation is shown below.
1/9 blank exponent 2
Answer:
I think you mean 1/9^2. That would be 1/81 or 0.01234567 .
Step-by-step explanation:
how do I work this out
Answer:
16
Step-by-step explanation:
4 x 4
Factor the expression to fill in the blank:
24 + 32 = (3 + 4)
Answer:
8
Step-by-step explanation:
If there are 34 successes in a sample with a size of 40, what is the sample
proportion?
Answer:
Step-by-step explanation:
0.85
Answer:
.85
Step-by-step explanation:
Why should we wear rubber gloves on our hands while working with electricity?
Answer:
a simple answer would be that rubber doesnt conduct electricity, so by wearing it you are at a substantially lower risk of being insured by electricity. This is also why people who work with electricity wear rubber soled boots.. to prevent grounding and ultimately, to prevent getting electrocuted. hope this helps :)
Answer:
if you don't wear rubber gloves, there will be a chance of you being electrocuted. Rubber gloves don't let any electricity to go through, so your body can stay safe.
Hope this helps.
Step-by-step explanation:
The students in Miss Jackson's class are collecting pennies they decide to displayed in his facts of 10 how many stacks can they make with 345 pennies how many single pennies will they have left
Answer:
34 stacks with 5 pennies left
Step-by-step explanation:
345 / 10 = 34.5
10 * 34 = 340
345 - 340 = 5
The cordinates of three of the verticies of paralellogram ABCD are A(1,0), B(2,3) and C(3,2). What are the cordinates of the 4th Vertex and the point of intersection of the diagonals
Answer:
1) x cordinate x= 2
2) y cordinate y = -1
b)the point of intercowegwjpoeg is (2,1)
Step-by-step explanation:
Answer:
U ଏହାକୁ ଡିକୋଡେଡ୍ କରିନାହିଁ ତୁମେ ଏତେ ଅଦ୍ଭୁତ ଏବଂ ମୂକ ଲୋଲୋଲ୍ |
Step-by-step explanation:
Find all solutions to the equation.
7sin2x - 14 sin x + 2 = -5
Answer:
Step-by-step explanation:First, group and combine like terms:
x
3
+
2
x
2
+
7
x
2
+
14
x
→
x
3
=
(
2
+
7
)
x
2
+
14
x
x
3
+
9
x
2
+
14
x
Next, factor out an
x
from each term in the expression:
(
x
⋅
x
2
)
+
(
x
⋅
9
x
)
+
(
x
⋅
14
)
→
x
(
x
2
+
9
x
+
14
)
Because
7
+
2
=
9
and
7
⋅
2
=
14
we can factor the quadratic term as:
x
(
x
+
7
)
(
x
+
2
)
The diagram shows two squares constructed on the sides of a rectangle. Write an expression for the area of Square C in terms of the areas of Square A and Rectangle B. Then simplify to find the area. (N RN.1.1-2 HELP PLSSS
Step-by-step explanation:
Since area of Square A = 7 ft²,
Side length of Square A = √7 ft.
Length of Rectangle B = √7 ft
Width of Rectangle B = 4/√7 ft
Hence Area of Square C
= (4)² / (√7)² ft² = 16/7 ft².
The area of Square C is the square of the height of the Rectangle B.
Correct responses:
[tex]\underline{Area \ of \ square \ C = \dfrac{\left(Area \ of \ Rectangle \ B \right)^2}{Area \ of \ Square \, A} }[/tex][tex]Area \ of \ square \ C = \underline{\dfrac{16}{7}} \, ft.^2[/tex]Methods used for finding the area of Square CThe given area of square A = 7 ft.²
The given area of rectangle, B = 4 ft.²
Let s represent the side length of square C and let S represent the side length of square A, we have;
Area of rectangle B = S × s = S·s
Area of square A = S × S = S²
Area of square C = s × s = s²
[tex]\mathbf{\dfrac{(Area \ of \ rectangle \ B)^2}{Area \ of \ square \ A } } = \dfrac{\left(S \cdot s \right)^2}{S^2} = \dfrac{S^2 \cdot s^2}{S^2} = s^2 = Area \ of \ square \ C[/tex]
Therefore, the expression for the area of Square C in terms of the area
of Square A and Rectangle B is presented as follows;
[tex]\underline{Area \ of \ Square \ C = \dfrac{ \left (Area \ of \ rectangle \ B \right)^2}{\left(Area \ of \ square \ A\right)}}[/tex]Which gives;
[tex]\underline{Area \ of \ square \ C = \dfrac{\left(4 \, ft.^2 \right)^2}{7 \, ft.^2}}[/tex]By simplification, we have;
[tex]\mathbf{\dfrac{\left(4 \, ft.^2 \right)^2}{7 \, ft.^2}} = \dfrac{16}{4} \, ft.^2[/tex]
[tex]Area \ of \ square \ C = \underline{ \dfrac{16}{7}} \, ft.^2[/tex]Learn more about squares and rectangles here:
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Please help photo attached
Answer:
C
Step-by-step explanation:
conjugate just changes the sign of the radical (but nothing else)
One Solution, Infinite Solutions, No Solution
Answer:
options?
Step-by-step explanation:
gib options
TIMED QUIZ! possibly easy i just don’t get it. HELP
Max is driving 45 miles per hour. A dog runs into the street and Max reacts in about three quarters of a second. What is his approximate braking distance?
O about 101 feet
about 112 feet
O about 75 feet
O about 92 feet
The following data points represent the number of students in each teacher's class at Dodger Middle School. Sort the data from least to greatest. 21 14 23 15 17 22 14 21 Find the median class size. students
Answer:
i think 19
Step-by-step explanation:
Answer:
The answer is 19.
--------------------------------
Least To Greatest
--------------------------------
14, 14, 15, 17, 21, 21, 22, 23.
Step-by-step explanation:
A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?
A coordinate plane.A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?
A coordinate plane.A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?
A coordinate plane.
Answer:
6
Step-by-step explanation:
I took the test
Answer:
6
Step-by-step explanation:
just took the exam
An online book store has 182 boxes of books in its warehouse. Each box has 32 books.
Part A
Which equation represents the best estimate of the total number of books in the warehouse?
180 × 30 = 5,400
180 × 40 = 7,200
190 × 40 = 7,600
200 × 40 = 8,000
Part B
Is the best estimate in Part A an underestimate or an overestimate? Explain.
It is an underestimate. The rounded value for 182 is less than 182, and the rounded value for 32 is less than 32. The estimated product must be less than the exact product.
It is an overestimate. The rounded value for 182 is greater than 182, and the rounded value for 32 is greater than 32. The estimated product must be greater than the exact product.
It is an overestimate. The rounded value for 182 is greater than the rounded value for 32. The estimated product must be greater than the exact product.
It is an underestimate. The rounded value for 32 is closer to 32 than the rounded value for 182 is to 180. The estimated product must be less than the exact product.
Answer:
Part is A. Part B is underestimate. Part C (for the choose drop-off boxes are these: 1# < 2# < 3# <
Step-by-step explanation:
I took the test, hope it helps.
PLEASE HELP PLEASE I REALLY NEED HELP JUST SAY LIKE ABC OR D AND PLEASE DO THE CORRECT ANSWER
Answer:
c
Step-by-step explanation:
A drawing has a scale of 1 mm: 20 cm. What
is the scale factor of the drawing?
The scale factor of the drawing is 200.
Scale Factor of a DrawingThe first step to take when looking for the scale factor of a drawing is to ensure both measurements are on the same unit.
Given a scale for a drawing to be: 1 mm: 20 cm
1 cm = 10 m
Therefore:
20 cm = 200 mm
Scale factor = 200/1 = 200.
Therefore, the scale factor of the drawing is 200.
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I need help with solutions
Answer:
10. b 11. b 12. b 13. a 14. b 15. b 16. a 17. a 18. b 19. a 20. a 21. b
Step-by-step explanation:
I'm pretty sure they are all right
estimate the circumference of a circle that has a diameter of 13 yards
Answer:
aproximately 41 yards
Step-by-step explanation:
the equation equals 40.8 yards, rounded up is 41
Find (f+g)(x) and (f-g)(x)
f(x)=2x+7 g(x)=5x-4
Answer:
for (f+g)(x): 7x + 3; x = -3/7
for (f-g)(x): -3x - 3; x = -1
Step-by-step explanation:
(f+g)(x) = (2x+7)+(5x-4)
Eliminate parentheses.
2x + 7 + 5x -4
Combine like terms.
7x + 3
If you are solving for x, move the 3 to the other side.
7x = -3.
Then divide each side by 7.
x = -3/7
(f-g)(x) = (2x+7) - (5x -4)
Distribute the negative.
(2x+7) + (-5x+4)
Eliminate parentheses.
2x + 7 - 5x - 4
Combine like terms.
-3x -3
If you are solving for x, move the -3 to the other side.
-3x = 3
Then divide each side by -3.
x = -1.
Convert the temperature equivalent to 30 degrees Celsius to degrees Fahrenheit, using the formula F = 1.8C + 32 *
Answer:
86°F
Step-by-step explanation:
Plug in 30 as C in the formula:
F = 1.8C + 32
F = 1.8(30) + 32
F = 54 + 32
F = 86
So, the answer is 86°F
There are 15 students in the Drama Club and 7 students in the Speech and Debate Club. What is the ratio of Drama Club members to Speech and Debate Club members?
Answer: The answer is 15:7
Answer:
15:7
Step-by-step explanation:
State the segment that represents the image, based on the information given.
The clockwise rotation of ΔAPG about 90 degree gives ΔCPA.
What is Rotation?Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.
Given:
We have ΔAPG.
Now, we have to rotate about 90 clockwise rotation.
Then, ΔAPG will overlap on ΔCPA
Hence, the clockwise rotation of ΔAPG about 90 degree gives ΔCPA.
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