Given :-
The general term of a sequence is given by aₙ=43-3(n-1) .To Find :-
The first four terms of the sequence.Solution :-
The given expression is [tex] /[/tex]
→ aₙ=43-3(n-1)
where n > 0
Finding the first term :
Substituting n = 1 , we have ,
→ T1 = 43 - 3(1-1)
→ T1 = 43 - 3*0
→ T1 = 43 - 0 = 43
Finding the second term :
Substituting n = 2 , we have,
→ T2 = 43 -3(2-1)
→ T2 = 43 -3*1
→ T2 = 43 -3 = 40
Finding the third term :
Substituting n = 3 , we have,
→ T3 = 43 -3(3-1)
→ T3 = 43 -3*2
→ T3 = 43 -6 = 37
Finding the fourth term :
→ T4 = 43 -3(4-1)
→ T4 = 43 -3*3
→ T4 = 43-9 = 34
Hence the first four terms of the sequence are 43 , 40 , 37 and 34 .
I hope this helps . Let me know if you need further clarification .
Determine the area of the composite figure.
Answer:
Area = 142.5 square inches
Step-by-step explanation:
So your shape is kind of a little house. The bottom part is a rectangle 9 × 9.5. The area of the rectangle is
Area = length×width
= 9 × 9.5
= 85.5
The "roof" of the little house is a triangle. The area of a triangle is 1/2×base×height
Now, the base of the "roof" is the same as the floor of the house, 9.5 inches.
The height of the whole thing is 21 inches. If we take away the rectangle's wall-height, we'll get the height of the "roof".
Roof height= 21 - 9
= 12 inches
Area_roof
=1/2 × base × height
=1/2 × 9.5 × 12
= 57 square inches
Total area is bottom plus roof (the rectangle and the triangle)
Total Area
= 85.5 + 57
= 142.5 sq in
Pls, Help me I will mark Brainliest for the first and correct answer...
You know that 30% of a number is close to 25. What do you know about 90% of that number?
Answer:
90% is close to 75
Step-by-step explanation:
90% of a number would be 3 times 30% of a number. As a result we can assume 90% of the number would be around 3(25) or 75
Kay started a chess club, and for a while she was the only member. She planned to have each member find two new members each month. By the end of the first month, she had found two new members. If her plan is carried out, how many members will the club have at the end of 6 months
Answer:
127
Step-by-step explanation:
The sum of 7 terms of the series 1 +2 +4 +... with first term 1 and common ratio 2 is given by ...
Sn = a1 × (r^n -1)/(r -1) . . . . . . first term a1, common ratio r
S7 = 1 × (2^7 -1)/(2 -1) = (128 -1)/1 = 127
At the end of 6 months, the club will have 127 members.
How to find the area of a triangle when the height is not given ?
Answer:
by using formula a+b+c .....
Answer:
Then use Hero's Formula
Step-by-step explanation:
Which of the following rational functions is graphed below?
Answer:
letter A that's the answer
the other person is wrong the answer is C
In a race you walked 9 5/6 miles and ran 1 1/3 miles.
How much further did you walk than run?
Do not reduce your answer to lowest terms.
Answer:
23/6 or 3 5/6
Step-by-step explanation:
Well, here you just have to subtract and think about the question.
Walk = 9 5/6
Run = 1 1/3
9 5/6 - 1 1 /3 = 23/6
23/6 = 3 5/6
How many terms of the sequence 10,12,14 will add up to 190
Answer:
required value is n = 10
Step-by-step explanation:
by ingnoring the negative value n = -14
A street sign is 80 inches tall. How tall is it in feet and inches?
Answer:
The height of feet would be 6.666 just be a line above the second 6 and inches would be 960.
Helped by QueenTlove Have an nice day
please help if u can thank you:)
It's number three because the two triangle are congruent (aas),
So, Angle CED would equal ACB, and ACB is 180-70-p, which is also
110-p-Hunter
Omar is in charge of planning a reception for 1800 people. He is trying to decide which snacks to buy. He has asked a random sample of people who are coming to the reception what their favorite snack is. Here are the results
Favorite Snack Number of People
Potato chips 28
Pretzels 36
Cookies 48
Other 63
Based on the above sample, predict the number of the people at the reception whose favorite snack will be potato chips. Round your answer to the nearest whole number. Do not round any intermediate calculations
Answer:
ok so first we have to find out what the sample size is so
28+36+48+63=175
then lets find what percentage 28 is of 172
16.28
so ten lets find out how many that is out of the 1800
1800*0.1628=293.04
293 people will like potato chips
Hope This Helps!!!
can you please help me answer this question...?
Answer: B) The coordinate of L is (3,-2).
Step-by-step explanation:
Given that L is the midpoint of JK, we can apply the following equation to obtain the coordinates of point L:
L=(5+1/2, 3-7/2)
As a result of resolving this, we obtain
L=(6/2, -4/2)
L=(3,-2)
Therefore the answer is (3,-2)
The questions below will help you keep track of key concepta from this lessons study activity.
Use the study page numbers listed to help you fl in the blanks or solve the problems.
1) Practice: Organizing Information
Complete the table to show what you know and want to find, related to the problem below.
Amy's monthly rent is one-fourth of her monthly income. If her monthly rent is $1,200, how much is
her monthly income?
Know
Want to know
2) Practice: Summarizing
Write an equation that may be used to solve the problem below, and then solve the equation.
Amy's monthly rent is one-fourth of her monthly income. If her monthly rent is $1200, how much is
her monthly income?
Step-by-step explanation:
Give entry slips/entrance tickets.
Grade, out loud and with the whole class, homework from the previous lesson.
Ask brief review questions.
Make adjustments.
Eye contact and proximity.
“Stoplight”
“1, 2, 3”
Help math math math math
Hi there! I am here to help you!
Please remember that perpendicular lines have slopes that are opposite reciprocals.This means we take a number, flop it over, and change its sign.Here, we have[tex]\displaystyle-\frac{1}{5}[/tex]First, flop it over:[tex]\rm{-5[/tex]Change its sign:5Thus, the slope of the line perpendicular to the given line is 5.Now, what is the equation of the line?We have the slope of the line and a point that it intersects.So, we can write the equation in Point-Slope Form:y-y1=m(x-x1)y-1=5(x-(-5)y-1=5(x+5)y-1=5x+25y=5x+25+1y=5x+26Answer:
y=5x+26
Hope you find it helpful.
~Nature~
Enjoy your day! :)
Answer:
The answer is y=5x+26
Chad has a part-time job at Softy's Ice Cream Shop, where he makes $12.50 per hour. If Chad works 13.5 hours this week, how much money will he earn?
Answer:
He can make $ 168.75 per week.
Step-by-step explanation:
1hr =$ 12.50
For 13.5 hrs,
12.5*13.5
= 168.75
Martin Works at the Big and Tall store. He gets paid $8 per hour plus $1 for each sale he makes on socks. Graph the relationship between money earned and hours worked if Martin was only able to sell 16 pairs of socks
Answer:
Let x equal the number of hours worked.
a) ƒ(x) = 8x + 1(16)
b) The slope is 8
c) The -intercept represents the money earned
d) For every one hour you work, you will gain eight more dollars
e) Yes, this answer would make sense in the real world because it will show how much money you would make over a given number of hours
f) Take a look at the picture I illustrated below.
Step-by-step explanation:
I NEED HELP ASAP ON THIS!!!
Please help me on 4,5,6, and 7.
Answer:
4. m<3 = 120
5. m<4 = 13
6. m<2 = 70
7. m<1 = 115
Step-by-step explanation:
4. m<3 = 120, this is because it is the same as m<1 due to vertical (congruent) angles
5. m<4 = 13, this is because it is the same as m<2 due to vertical (congruent) angles
6. m<2 = 70, this is because m<2 and m<3 are supplementary (adding up to 180) so we would subtract 180 - 110 (aka m<3) = 70 (aka m<2)
7. m<1 = 115, this is because m<1 and m<4 are supplementary (adding up to 180) so we would subtract 180 - 65 (aka m<4) = 115 (aka m<1)
Tina wants to get friendship bracelet for her 32 classmate she already had 5 bracelets she can buy more bracelets in packs of 4
What is the volume of the cone in terms of pi 6 inch and 2 inch?
Answer:
πr2h
3
Step-by-step explanation:
A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean amount eaten by the 10 dogs is 14 oz. The sum of squared deviations is 220. What is the variance for this data set
Using statistical concepts, it is found that the variance for this data set is of 22 oz squared.
What are the mean and the variance of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The variance of a data-set is given by the sum of the differences squared between each observation and the mean, divided by the number of values.
From the second bullet point, the variance can also be interpreted as the sum of squared deviations divided by the sample size.
In this problem, the sum of squared deviations is 220 and the sample size is 10, hence, the variance for this data set is of 22 oz squared.
You can learn more about the mean and the variance of a data-set at https://brainly.com/question/18087235
100 points if u can complete this whole page !!! Pls with an explanation
plz help guys! i will mark brainlyest
Answer:
Area is 220 cm²
Step-by-step explanation:
Firstly divide the polygon into rectangle and triangle
For rectangle area
Area = A = L × W = 11 × 18 = 198 cm²
For triangle
Area = A = 1/2 bh = 1/2 × (15-11) × (18-7) = 1/2 × 4 ×11 = 44/2 = 22 cm²
Add them
198 + 22 = 220cm²
Mark brainliest if you understand
PLS HELP ILL GIVE BRANLIEST TO FIRST RIGHT ANSWER. pls im tired of this no one is answering my questions 90 big points up for this
Answer:
the value of x is 30* hope this helps. :)
Step-by-step explanation:
Help plsssssssssssss
Answer:
5. a) 2.140 + 1.725 = 3.865
b) 29.99 + 1.42 = 31.41
c) 6.157 - 1.009 = 5.148
6) 7.4 - 0.0022 = 7.2978 ✅
7.39 - 0.0012 = 7.3888
7. 140minutes / 2 hours and 20 minutes
pls help 90points ty!
Answer: C
Step-by-step explanation:
Which statements apply to the expression 3/5 ? Check all that apply
Answer:
See below.
Step-by-step explanation:
I assume the fraction 3/5 is raised to the 3rd power.
I assume this is the given expression.
[tex] (\dfrac{3}{5})^3 [/tex]
The base is 3/5 True
The base is 3 False
The exponent is 3 True
The expanded form is [tex] \dfrac{3}{5} \times \dfrac{3}{5} \times \dfrac{3}{5} [/tex] True
The expanded form is [tex] \dfrac{3 \times 3 \times 3}{5} [/tex] False
[tex] (\dfrac{3}{5})^3 = \dfrac{9}{15} [/tex] False
[tex] (\dfrac{3}{5})^3 = \dfrac{27}{125} [/tex] True
What’s the missing number in sequence 127, 144, 48, 66, 33, ?
The missing number in the sequence is 52.
What is the missing number in the sequence?In order to determine the missing number, the pattern in the sequence has to be determined.
The difference between the second and first number is 144 - 127 = 17
The third number is 3 times smaller than the second number: 144 / 48 = 3
The difference between the fourth number and the third number is 66 - 48 = 18.
The fifth number is 2 times smaller than the fourth number: 66/33 = 2
Based on this sequence, the sixth number would be 19 more than the fifth number. 33 + 19 = 52
To learn more about sequences, please check: https://brainly.com/question/11266123
Use intercepts to graph the linear equation -4x+3y=-30 .
Answer:
See below
Step-by-step explanation:
Y-intercept
-4x + 3y = -30
-4(0) + 3y = -30
3y = -30
y = -10
(0, -10)
X-intercept
-4x + 3y = -30
-4x + 3(0) = -30
-4x = -30
x = 15/2
x = 7.5
(7.5,0)
After plotting the intercepts, connect them with a line to get your equation
Y=2x
Y=3x-10
What is the solution to the system of equations
Enter your solution as an ordered pair ( , )
[tex]\large \bf\blue{\bigstar\boxed{\pink{\frak{Solution}}}} \blue{ \bf\longmapsto}[/tex]
Y=2x. . . . (1)Y=3x-10. . . . (2)put value of y in 1 eq in 2 eq
y= 3x - 102x = 3x - 10x = 10Put value of x in 1 eq
y = 2xy = 2 × 10y = 20Pair formed
(x , y) = (10,20)
The solution to the system of equations will be (x, y) = (10,20).
What is the equation?In a mathematical equation, two expressions—which may or may not include variables or integers—are declared to be equal. The main motivations for the development of mathematics have been attempts to methodically address the underlying issues with equations.
It is given that, the equations are y=2x and y=3x-10.
Y=2x. . . . (1)
Y=3x-10. . . . (2)
put the value of y in 1 eq in 2 eq in order to find the value of x.
y= 3x - 10
2x = 3x - 10
x = 10
Put the value of x in 1 eq in order to get the value of y,
y = 2x
y = 2 × 10
y = 20
Pair formed
(x , y) = (10,20)
Thus, the solution to the system of equations will be (x, y) = (10,20).
Learn more about the equation here,
https://brainly.com/question/10413253
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The function G is defined by the following rule. g(X)= 4x+4
complete the function table
-3,0,1,2,5
Answer:
g(-3)=4(-3)+4
= -8
g(0)= 4(0)+4
=4
g(1)= 4(1)+4
=8
g(2)=4(2)+4
=12
g(5)=4(5)+4
=24
Mike wrote down a number on a piece of paper and hid it from his friends. He rounded his number to different places and his friends had to guess what the number was.
First, Mike rounded his number to the nearest ten.
Then, he rounded his number to the nearest hundred.
Last, he rounded his number to the nearest thousand.
All three times, the rounded number had the same value.
Which of these could be his number?
145,998
7,002
4,506
26,991
12,497
Answer: 145,998, 7,000, and 25,991
My guess :))
Step-by-step explanation:
145,998 7,002 4,506 26,991 12,497
First, Mike rounded his number to the nearest ten
146,000 7,000 4,510 27,000 12,500
Then, he rounded his number to the nearest hundred.
146,000 7,000 4,500 27,000 12,500
Last, he rounded his number to the nearest thousand.
146,000 7,000 5,000 27,000 12,000