write an equation for the nth term of the arithmetic sequence. Then find a40.
1/4,1/2,3/4,1,...
Answer:
The nth term is: [tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]
a40 = 10
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
The nth term of a sequence is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
In which [tex]a_1[/tex] is the first term and d is the common difference.
1/4,1/2
This means that:
[tex]d = \frac{1}{2} - \frac{1}{4} = \frac{2}{4} - \frac{1}{4} = \frac{1}{4}[/tex]
1/4
This means that [tex]a_1 = \frac{1}{4}[/tex]
The nth term is:
[tex]a_n = a_1 + (n-1)d[/tex]
[tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]
Then find a40.
[tex]a_{40} = \frac{1}{4} + \frac{1}{4}(40-1) = \frac{1}{4} + \frac{39}{4} = \frac{40}{4} = 10[/tex]
So
a40 = 10
Answer choices
40%
50%
What is the answer please help if you put a link I will report you I’m being dead freaking serious
Answer:
50%
Step-by-step explanation
add the total and divide 35 (flowers sold by 5th graders) over 70 (total number of flowers sold by all 3 grades)
Please, my whole grade depends on this question!!!
Answer:
y = 14.4x - 18.4
Step-by-step explanation:
This is the equation for the regression line, I hope this helps!
Good drivers have a quiet level of efficiency in their actions; this derives from a) a good level of attention Ob) accurate observation Oc) both Od) nelther
Answer:
d. all of the above
Step-by-step explanation:
just took driving course test
Good drivers exhibit a quiet level of efficiency in their actions, which stems from a combination of a good level of attention and accurate observation (option c).
Firstly, a good level of attention means being fully focused and attentive while driving, avoiding distractions, and being aware of the surroundings. This allows drivers to anticipate potential hazards, respond quickly to changing situations, and make informed decisions. Secondly, accurate observation involves keenly observing the road, traffic, and other relevant factors, such as signs, signals, and pedestrians.
By accurately observing their surroundings, good drivers can assess risks, maintain proper positioning, and execute maneuvers with precision. The combination of attention and observation enables drivers to anticipate and respond effectively, promoting safety, efficiency, and smooth execution of actions on the road. The correct option is c.
To know more about combination:
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Don’t waste an answer if you ain’t gonna help :)
Pls awnser i will give brailiest
Answer:
A. 124
Step-by-step explanation:
first i found the area of the circle which is 113
then i multiplied that which gave me 452
then i used what's given "6" for a half circle and multiplied it by 4 and that gave me the size of one side of the square 24
then i multiplied 24 x 24 which is 576 the area of the square
lastly i subtracted 576-452
Brainliest pls
f(x) = 4.22 + 5x – 3
g(x) = 4x3 – 3x2 + 5
Find (f - g)(x)
Answer:
−4x^3+3x^2+5x−3.78
Step-by-step explanation:
:D
9. Waldo and Freddy caught fish one weekend. The dot plots show the lengths of the fish they caught. Length of Waldo's Fish + 16 15 17 18 19 20 21 22 Inches Length of Freddy's Fish
The Range of the length of the fish caught by Freddy is Greater than the range of the length of the fish caught by Waldo.
Step-by-step explanation:
423 inches = _________ feet, _________ inches
Answer:
432 inches = 35 feet and 3 inches
Complete the equation of the line through (4,-8) and (8,5)
Use exact numbers.
Y=?
The Answer:
y=3.25x+ (-21)
Answer:
y-intercept = (0, -21)
Step-by-step explanation:
Find the value of the slope.
[tex]m = \frac{13}{4} [/tex]
Find the value of the y-intercept.
[tex]b = - 21[/tex]
List the slope and y-intercept.
Slope: 13/4
y-intercept: (0, -21)
Evaluate the expression: -4a2 + 3ab - (2a + 3b) if a = 1/4 and b = -12
Enter answer as a decimal.
Answer:
Value of equation = 26.25
Step-by-step explanation:
Given:
Equation given
-4a² + 3ab - (2a + 3b)
Given value of a = 1/4
Given value of b = -12
Find:
Value of equation
Computation:
-4a² + 3ab - (2a + 3b)
By putting value of a and b
-4(1/4)² + 3(1/4)(-12) - [2(1/4) + 3(-12)]
-4(1/16) - (36/4) - [2/4 - 36]
-4/16 - 36/4 - [-142/4]
- 0.25 - 9 + 142/4
-0.25 - 9 + 35.5
Value of equation = 26.25
Acone has a volume of 967 cubic feet. If the radius is 6
feet, what is the height of the cone?
Answer:
25.65
Step-by-step explanation:
solve for x in kite
Answer:
x = 38
Step-by-step explanation:
since angle AED is a right angle 2x + 14 = 90
subtract 14 from 90 you get 76, divide that by 2 you get 38
The scale on a map states that 1 centimeter corresponds to 20 kilometers. On the map, two cities are 0.3 cm apart. Find the actual distance.
Answer: The actual distance is 6 km
Step-by-step explanation: If you do a conversion from 1 cm to 20 km in fraction form, you will have
[tex]\frac{1cm}{20km} = \frac{0.1cm}{km ?}[/tex]
So, if you solve for km, you will get 6 using cross multipulcation
X+2y=7 x+5=3y what is resulting equation
Please help anybody due in LESS THAN 1 MIN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
distance was 35 units and the average speed was 5 units per minute
Step-by-step explanation:
-47--12=-35
the absolute value of -35 is 35
35 units took 7 minutes
so 1 unit takes 35/7 minutes= 5 minutes
find the erea of the trapezoid.
Answer:
36
Step-by-step explanation:
A (base) 6
B (Base) 12
H (height) 4
Allison flipped a coin twenty times. She flipped heads 4 times and tails 16 times. What is the experimental probability that Allison will flip heads on her next flip?
The answer choices are:
80%
25%
20%
Please help!!
Answer:
C. 20%
Step-by-step explanation:
4 times out of 20 is 20%
help please xoxoxoxoxo
I have the answer but you have to come to discovery.hxuj.com
Alguien que hable español??
56,316 divided by 6 need step by step instructions
Answer:
9,386
Step-by-step explanation:
56,316 ÷ 6 = 9,386
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Please Help me i'm not good with math
Which graph is defined by the function given below?
y = (x + 2)(x + 7)
118
10
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
Graph A
Step-by-step explanation:
the zeros of the function are
0=x+2 x=-2
and
0=x+7 x=-7
so the graph where the function crosses those two points at y=0
GUYS HELP PLEASE ASAP You are deciding between two jobs. Offer 1 is $40,000 and a raise of
$4,000 per year. Offer 2 is $52,000 and a raise of $2,000 per year. In how
many years will both jobs pay you the same salary? What would the salary
be? Which offer should you choose if you plan on working for 10 years?
Answer:
offer 1= you get 80k for the first offer for 10 years.
offer 2= you get 72k for the second offer for 10 years.
Result:
offer one would be better as you would get more money.
Find an equation of the circle having the given center and radius.
Center (-7, 6), radius 6
Answer:
36 = (x+7)^2 + (y-6)^2
Step-by-step explanation:
6^2=(x-(-7))^2 + (y-6)^2
Use the geometric series 5^Ž (8)*-* to answer each question.
n=1
What are the terms in the series?
1 + 8 + ___+ ____+ ____
Answer:
First one is:
1 + 8 + 64 + 512 + 4096
Second one is:
73
Answer:
First one is:
1 + 8 + 64 + 512 + 4096
Second one is:
73
Step-by-step explanation:
find the area of a circle whose diameter is 7cm
Answer:
3.5pi
Step-by-step explanation:
just multiply together and you'll get your answer
Answer:
38.5 cm^2
Step-by-step explanation:
Diameter ( d ) = 7 cm
Radius ( r ) = 7 / 2 cm
Formula : -
Ar ( circle ) = π r^2
π r^2
= ( 22 / 7 ) x ( 7 / 2 )^2
= ( 22 / 7 ) x ( 49 / 4 )
= 38.5 cm^2
Hey, can someone please help me? I’m pretty sure the answers are B and D but I just wanna make sure.
Answer:
yes b and d
Step-by-step explanation:
WILL MARK BRAINLIEST PLEASE HELP!!!
A right circular cone is intersected by a plane that passes through the cone's vertex and is parallel to its base, as in the picture below. What is produced from this intersection?
A. A Pair of intersecting lines
B. A Parabola
C. A Point
D. A Pair of parallel lines
Answer:its D. A pair of parallel lines
Step-by-step explanation:
Answer: parallel lines
Step-by-step explanation:
Solve -5x < -35. Enter your answer as an inequality.
Answer:
x > 7
Step-by-step explanation:
-5x < -35
(Divide by 5)
-x < -7
(When dividing by a negative number, you flip the sign)
x > 7
The answer of given inequality is x > 7 .
What is inequality?Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.
Given,
-5x < -35
Divide by 5 in inequality
-x < -7
Multiply by (-1) in inequality [flip the sign of inequality]
So, x > 7
Learn more about inequalities
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