The first three terms of an arithmetic sequence are as follows 9,4,-1 find the next two terms
The following two terms of an arithmetic progression are -6 and -11.
What is an arithmetic sequence?
An arithmetic sequence is defined as a progression of numbers such that the difference between successive terms is consistent. It is also called Arithmetic Progression. The formula for tthe last term of an AP is given as: an = a + (n-1)d, here, a is the first term, n is the number of terms and d is the difference between two successive terms.
Finding the two terms of an arithmetic sequence
The first three terms of an arithmetic sequence are given by:
a1 = 9
a2 = 4
a3 = -1
Now, we want to calculate a4 and a5
Using the formula for calculating the next term of an arithmetic progression, we get,
a4 = a + (n-1)d, where n = 4 and d = 5
a4 = 9 + (4-1)(-5)
a4 = 9 - 15
a4 = -6
Further, a5 = a + (n-1)d, where n = 5 and d = 5
a5 = 9 + (5-1)(-5)
a5 = 9 - 20
a5 = -11
Hence, the next two terms of an AP are -6 and -11.
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What is the measure of angle x
Answer:
there is nothing to look at or answer
Find the GFC of 28 and 30.
GFC =
Answer:
2
Step-by-step explanation:
A rectangular parking lot is 3/4 mile long. If the area is 3/8 square mile, what is the width of the lot?
Answer:
it's .5 or 1/2
Step-by-step explanation:
3/8 ÷ 3/4 = 1/2
What’s this answer to this question
5.734 rounded to the nearest whole number
Answer:
6
Step-by-step explanation:
anything over 5 you round up.
7 is greater than 5 so you round up to 6
Answer: 5
Step-by-step explanation:
If the number is 5 or more, you round it up.
It the number is 4 or less, you leave it alone.
Using this process, we eliminate the numbers .734
We get the number 5 as our answer.
(4) Madison invested $5,000 at a rate of 7.5%. How much money did she have after 6 months?
Answer:
A = $5,187.50
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7.5%/100 = 0.075 per year.
Putting time into years for simplicity,
6 months / 12 months/year = 0.5 years.
Solving our equation:
A = 5000(1 + (0.075 × 0.5)) = 5187.5
A = $5,187.50
The total amount accrued, principal plus interest, from simple interest on a principal of $5,000.00 at a rate of 7.5% per year for 0.5 years (6 months) is $5,187.50.
The amount of money she saved after 6 months is $5,187.50.
What is Percentage?Chance formula is used to find the quantum or share of commodity in terms of 100. In its simplest form, percent means per hundred. To express a number between zero and one, chance formula is used. It's defined as a number represented as a bit of 100. It's denoted by the symbol, and is majorly used to compare and find out rates.
Given:
r = R/100
r = 7.5%/100
r = 0.075 per year.
Time = 6 months.
= 6/12 = 1/2 year
So, Amount = 5000(1 + (0.075 × 0.5))
A = $5,187.50
The total amount accrued, principal plus interest is $5,187.50.
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Select the better answer for the definition: Step Function.
1.A function that contains a variable under a radical symbol.
2.A function that uses different formulas for different parts of its domain.
3.A function that has a graph resembling a staircase.
4.There is no correct answer given.
5.A function that reverses another function.
Answer:
3
Step-by-step explanation:
it resembles a staircase when graphed
I need help and a answer tonight
integers -50-3-(-8) please answer correctly
Answer:
-45
Step-by-step explanation:
Because 2 negatives become a positive:
-50-3 + 8 =
-53 + 8 =
-45
(b) Find the value of k such that point (3,-2) lies on the locus 2x²-3y² + 2k-6y + 2 = 0
Answer:
[tex]{ \tt{ {2x}^{2} - {3y}^{2} + 2k - 6y + 2 = 0 }} \\ { \tt{ \{x = 3 \: \: and \: \: y = - 2 \}}} \\ { \tt{ {2(3)}^{2} - {3( - 2)}^{2} + 2k - 6( - 2) + 2 = 0}} \\ { \tt{18 - 12 + 2k + 12 + 2 = 0}} \\ { \tt{2k + 20 = 0}} \\ { \tt{2k = - 20}} \\ { \tt{k = - 10}}[/tex]
Answer:
⇒ k=−9
Step-by-step explanation:
then put P(−2, 2) and we get,
x
2
−7x+ky=0
(−2)
2
−7(−2)+k(2)=0
⇒ 4+14+2k=0
⇒ 18+2k=0
⇒ 2k=−18
⇒ k=−9
again point Q(3, a) lies on the locus
the, put Q(3, a) and k=−9. We get
x
2
−7x+ky=0
(3)
2
−7(3)+(−9)×a=0
9−21−9a=0
−9a=+12
a=
9
−12
a=
3
−4
3) If g(x)= 3y - 2x+8, find g(y+10) in simplest form.
Answer:
10g
Step-by-step explanation:
Determine the shaded areas part 2
9514 1404 393
Answer:
(a) cannot be determined
(b) 44 cm^2
(c) 87 m^2
(d) 180 m^2
(e) 132 m^2
Step-by-step explanation:
(a) missing a horizontal dimension
__
(b) The difference between the bounding rectangle and the lower-left cutout is ...
(8 cm)(7 cm) -(3 cm)(4 cm) = (56 -12) cm^2 = 44 cm^2
__
(c) The difference between the bounding rectangle and the center cutout is ...
(13 m)(7 m) -(4 m)(1 m) = (91 -4) m^2 = 87 m^2
__
(d) The difference between the bounding rectangle and the two cutouts is ...
(20 m)(25 m) -(16 m)(20 m) = (20 m)(25 -16) m = (20 m)(9 m) = 180 m^2
__
(e) The difference between the bounding rectangle and the two cutouts is ...
(14 m)(12 m) -(12 m)(3 m) = (12 m)(14 -3) m = (12 m)(11 m) = 132 m^2
What’s the next number in the pattern, and what is the formula to find the next number in the pattern? 7, 28, 63, 112...
Answer:
7x3
the next number is 336
Step-by-step explanation:
1/3(9x+3)=3x+1 whats the solution
Let's solve your equation step-by-step.
Step 1: Simplify both sides of the equation.
Step 2: Subtract 3x from both sides.
Step 3: Subtract 1 from both sides.
Let's solve your equation step-by-step.
1/3 (9x+3)=3x+1
Step 1: Simplify both sides of the equation.
1/3(9x+3)=3x+1
(1/3)(9x)+(1/3)(3)=3x+1(Distribute)
3x+1=3x+1
Step 2: Subtract 3x from both sides.
3x+1−3x=3x+1−3x
1=1
Step 3: Subtract 1 from both sides.
1−1=1−1
0=0
Answer:
All real numbers are solutions.
is it me or are people wilden with inappropriate things today on brainly?
Answer: Man, I agree with u.
Step-by-step explanation:
Answer:
hmm havent noticed
Step-by-step explanation:
ppl are wierd that's why I'm an attack helicopter....
Is
A person's batting average is determined by dividing the number of hits by the
number of at bats. William has 11 hits in 53 at bats and has a batting average of
0.208. He wants to have a batting average of at least 0.300.
Which equation could be used to determine x, the number of hits in a row William
needs to get in order to have a batting average of at least 0.300?
11x
A. 0.300 s
53x
11
B. 0.300x s
53
11 + x
C. 0.300 s.
53
11 + x
D. 0.300 s
53 + x
The equation that could be used to determine x is [tex]\frac{11+x}{53+x} \leq 0.300[/tex].
What is inequality?Inequality is a relation that makes a non-equal comparison between two expressions.
Batting average of William = 11/53
Desired batting average = 0.300
Suppose the number of more hits in a row to have desired batting average =x
Number of hits now =11+x
Number of bats now =53+x
It is given that the batting average should be a minimum of 0.300.
This means [tex]\frac{11+x}{53+x} \leq 0.300[/tex]
Therefore, the equation that could be used to determine x is [tex]\frac{11+x}{53+x} \leq 0.300[/tex].
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Which statements are true about the locations of points A and B? Select all that apply. Point A is at (0, -2). 4 Point A is at (0, -4). х Point A is at (4,0). Point B is at (-4, -3). -8 -4 4 co А -4. Point B is at (-8,-6). Point B is at (-8, -7). B -8
PLSSSS HELP
Answer:
B and F
Step-by-step explanation:
took the test
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Bonnie withdrew $1,200 from her savings account. She spent of the money on travel arrangements. She spent of the remaining amount at the hardware store. Finally, she treated her friend to lunch with some of the remaining money. After lunch, Bonnie had $300.50 left. How much money did Bonnie spend on lunch?
Bonnie spent $______on lunch.
Answer:
the answer is 19.50
Step-by-step explanation:
lets start by by reviewing the problem
bonnie withdrew 1200 dollars
she spend 240 on travel agents
then she spends 640 at the hardware store
so if we add all of that up we get 880
then we will subtract that from the total of her money
=320 left but we aren't finished
then she spend some money on lunch
so we would subtract 320 from
300.50
hence getting
19.50 since
mark me as brainiest!!!!
Answer:
the answer is 19.50
Step-by-step explanation:
BRAINLYEST SHALL BE FOR FIRST AWNSER I SEE
Answer:
me
Step-by-step explanation:
Find the measure of line segment TR
Answer:
17
Step-by-step explanation:
Answer:
TR = 24 units
Step-by-step explanation:
Given 2 secants from an external point to a circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and whole of the other secant, that is
3x(3x + 5x) = 8(8 + 19)
3x × 8x = 8 × 27
24x² = 216 ( divide both sides by 24 )
x² = 9 ( take the square root of both sides )
x = ± [tex]\sqrt{9}[/tex] = ± 3
but x > 0, thus x = 3
Thus
TR = 8x = 8 × 3 = 24
help please!! … help
Answer:
True ................
WILL MARK BRAINLIEST IF CORRECT! How many solution? Is it 0? is it 1? is it infinite?
Answer:
Step-by-step explanation:
There are two restrictions on x: First, x must be less than -4; second, x must be greater than 5. Both of these inequalities have an infinite number of solutions, so overall this set of restrictions has an infinite number of solutions.
Solve for x.
–30 = 5(x + 1)
Answer: x= -7
Step-by-step explanation: distribute first then minus 5 from -30 then divide by 5 x
The chart below contains the results of a survey of 25 students who were asked which musical instrument they play best. Instrument Played Best Instrument Students Violin 1 Piano 6 Guitar 2 Drums 3 What percent of the students responded to the survey? 12% 21% 48% 52%
Answer:
12%
Step-by-step explanation:
Add each number of students in the graph together. 1 + 6 + 2 + 3 = 12, so it's 12%.
Percentage of students who responded to the survey is 48 %
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
The total number of students in the survey = 25 students
The number of students who played Violin = 1 student
The number of students who played Piano = 6 students
The number of students who played Guitar = 2 students
The number of students who played Drums = 3 students
So ,
Total number of students who played instruments =
Number of students who played Violin + Number of students who played Piano + Number of students who played Guitar + Number of students who played Drums
Total number of students who played instruments = ( 1 + 6 + 2 + 3 )
= 12 students
Now ,
Percentage of students who played the instruments = Percentage of students who responded to the survey
And ,
Percentage of students who responded to the survey =
( Total number of students who played instruments / Total number of students in the survey ) x 100
Percentage of students who responded to the survey = ( 12 / 25 ) x 100
= 12 x 4
= 48 %
Therefore , percentage of students who responded to the survey = 48 %
Hence , percentage of students who responded to the survey is 48 %
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Write an equation of the line with the given slope and y-intercept.
Answer:
A. [tex] y = \frac{1}{4}x + 2 [/tex].
Step-by-step explanation:
Equation of a line in slope-intercept form, is given as [tex] y = mx + b [/tex].
Given a slope (m) of ¼, and y-intercept (b) of 2, we can get the equation if the line by substituting m = ¼, and b = 2 into [tex] y = mx + b [/tex].
Thus, the equation of the line would be:
[tex] y = \frac{1}{4}x + 2 [/tex].
3. Write the equation and solve for: Five subtracted from the product of six point
and a number is the same as thirteen. (Use the letter "n" as your variable)
Answer:
*correct me if I'm wrong with the equation setup but I believe this is your answer.*
( 6 × n ) - 5 = 13
( 6 x n ) = 18
n = 3
Juan and his father went on a driving trip.
Juan drove 32 miles more than his father.
Together, they drove 260 miles. How many
miles did Juan drive?
Answer:
162
Step-by-step explanation:
260/2=130
130+32=162
The Ted Williams Tunnel under Boston Harbor is 2.57
kilometers long. How many meters is the length of the
tunnel?
Answer:m=2570
Step-by-step explanation:2.57kilos= 2570m
Last Wednesday, students could choose ham or turkey sandwiches for lunch. The cafeteria made 80 sandwiches in all, 8 of which were turkey. What percentage of the sandwiches were turkey sandwiches?
Answer:
10%
Step-by-step explanation:
To find the percent that were turkey sandwiches, divide 8 by 80:
8/80
= 0.1
So, 10% were turkey sandwiches