The required 98th term of the arithmetic progression is -374.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values.
Here,
Given sequence,
14, 10, 6,
First term,
a = 14,
common difference d = 10 - 14 = -4
Explicit formula,
nth term = a + (n -1)d
98th term = 14 + (98 - 1)(-4)
98th term = 14 + 97 (-4)
98th term = -374
Thus, the required 98th term of the arithmetic progression is -374.
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Please help I’ll mark brainliest
Answer:
y-intercept: (0,-4)
x-intercept: (-9,0)
Step-by-step explanation:
To find the y and x intercepts, simply plug in 0 for x or y in the equation.
y-intercept:
[tex]-\frac{4}{3} x - 3y = 12[/tex]
[tex]-\frac{4}{3} (0) - 3y = 12[/tex]
[tex]0 - 3y = 12[/tex]
[tex]-3y = 12[/tex]
[tex]y = -4[/tex]
(0,-4)
x-intercept
[tex]-\frac{4}{3} x - 3y = 12[/tex]
[tex]-\frac{4}{3} x - 3(0) = 12[/tex]
[tex]-\frac{4}{3} x - 0 = 12[/tex]
[tex]-\frac{4}{3} x = 12[/tex]
[tex]-4x = 36[/tex]
[tex]x = -9[/tex]
(-9,0)
if it was 113.5° in Amarillo and 95.7° in Phoenix how much hotter was it in Amarillo than it was in Phoenix
In AGHI, the measure of ZI=90°, the measure of ZG=5°, and IG = 57 feet. Find the
length of GH to the nearest tenth of a foot.
Answer:
The answer is 57.2
This is correct
The normal monthly temperatures (°F) for Omaha, Nebraska, are recorded below.
Month
Jan Feb Mar
Apr May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
1
2
3
4
5
6
7
8
9
10
11
12
Temp.
21°
27°
390520620
720
770
740
650
53°
39°
25°
a. Write a sinusoidal function that models Omaha's monthly temperature variation
b. Use the model to estimate the normal temperature during the month of April.
Answer
[tex]y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49[/tex]
Step by Step Explanation
Given
See attachment for table
Required
Determine the sinusoidal function
The sinusoidal function is represented as:
[tex]y = A \sin(Bx + C) + D[/tex]
Where
[tex]|A| = Amplitude[/tex]
And it is calculated as:
[tex]A = \frac{1}{2}[Highest - Least][/tex]
From the table:
Highest = 77 and Least = 21
So:
[tex]A = \frac{1}{2}[77 - 21][/tex]
[tex]A = \frac{1}{2}[56][/tex]
[tex]A = 28[/tex]
B is calculated as:
[tex]Period = \frac{2\pi}{B}[/tex]
The period is 12 i.e. 12 months
So:
[tex]\frac{2\pi}{B} = 12[/tex]
[tex]B = \frac{2\pi}{12}[/tex]
[tex]B = \frac{\pi}{6}[/tex]
C is calculated as:
[tex]\frac{C}{B} = -4[/tex]
[tex]C = -4 * B[/tex]
[tex]C = -4 * \frac{\pi}{6}[/tex]
[tex]C = -2 * \frac{\pi}{3}[/tex]
[tex]C = -\frac{2\pi}{3}[/tex]
Lastly, D is calculated as:
[tex]D = Least + A[/tex]
So:
[tex]D =21 + 28[/tex]
[tex]D=49[/tex]
So, the function is:
[tex]y = A \sin(Bx + C) + D[/tex]
[tex]y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49[/tex]
Answer:
y=28 sin (pi/6 t - 7pi/6)+49
Step-by-step explanation:
Vincent gathered groups of 1 to 8 people and gave every group the same puzzle to solve. He recorded the
number of minutes it took each group to solve the puzzle and plotted the results.
Which statement is the best description of the association between these variables?
The statement that best describes the association of these variables is larger groups tend to take less time to solve the puzzle.
What is the true statement?A graph can be described as a pictorial representation of data. A graph has a x axis and a y-axis. The x-axis in this graph is the number of people in the groups and the y-axis is the time it takes to solve the puzzle.
The graph slopes downwards. This indicates that as the number of people in the groups increase, the time it takes to solve the puzzle decreases.
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Answer:
Nonlinear association
Step-by-step explanation:
Please like if this helps :)
What is 5 1/6 + 2/3?
The sum of the fraction 5 1/6+2/3 is 5.83.
How to calculate sum of the fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. When expressed in common English, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a specific size.
5 1/6 + 2/3 = 5.83
An element of a whole is a fraction. When expressed in common English, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a specific size. A fraction appears in the numerator or denominator of a complex fraction.
There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions. We categorize its types based on these two terms. The terminology used to calculate fractions the parts of a whole object.
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what is (-10,10) if i dilate it by 1/2
12 more to go please help me
Step-by-step explanation:
Total number of people = 48 + 32 + 16
= 96
P(2 or more items) =
[tex] \frac{32}{96} \\ = \frac{1}{3} [/tex]
pls help quickly thank u
Answer:
Dependant
Step-by-step explanation:
Its dependant because when you take out one chocolate another may fall and take its place.
i need help with all of them lololol
Answer:
(If you need the actual explanations for each one, just ask in comments)
Step-by-step explanation:
1: D
2: G
3: A (60/100 = 6/10 = 3/5)
4: H (Min = 18, Q1 = 19, Median = 23, Q3 = 24, Max = 26)
5: C (2:6 = 1:3; 3:9 = 1:3)
6: J (2:15 = 10:75; multiply each side by 5)
7: A (A & B: 6*2/3 = 4, 4 < 6, 4 not > 6. C: 6*3/2 = 9, 9 not < 6. D: 6*3/3 = 6 not > 6).
The second term of a sequence is 12 and the common ratio is 2. Which equation gives the nth term of the sequence?
Answer:
The last: [tex]\bold{f(x) = 6(2)^{x-1}}[/tex]Step-by-step explanation:
Its a geometric sequence: aₙ = a₁ rⁿ⁻¹
f(x) = aₙ
a₁ = a₂÷r = 12÷2 = 6
r = 2
x = n
Therefore:
[tex]f(x) = 6(2)^{x-1}[/tex]
which question can be answered using the expression 1/3 didvied by 3/4
Answer:
1/3 divided by 3/4 = 0.44
Step-by-step explanation:
1/3 (0.33) divide by 3/4 (0.75) = 0.44
can someone please help me is it < 2 or n> 9
Answer:
n < 2 or n > 9
Step-by-step explanation:
2n + 6(n - 1) < 10 or 3n - 2(n - 3) > 15
2n + 6n - 6 < 10 or 3n - 2n + 6 > 15
8n - 6 < 10 or n + 6 > 15
8n < 16 or n > 9
n < 2 or n > 9
I have found the area but I'm not sure how to find the perimeter.
Answer:
20+20+24+24=88
88/2=44
88+44=132
Step-by-step explanation:
If you split it so there is a rectangle and a triangle, you find the perimeter of the rectangle then divide it in half.
The scores of two school volleyball teams are recorded.
Team A scored the following points per game: 20, 17, 25, 25, 13, 25, 12, 25, 25
and 23.
Team B scored the following points per game: 25, 25, 9, 10, 25, 11, 25, 15, 10
and 25.
What is the mean of Team A?
What is the mean of Team B?
Time A:
Para obter a média temos que somar todos os pontos e dividir pela quantidade de pontos, ou seja, 20 + 17+ 25+ 25+ 13+
25+ 12+ 25+25 +23= 210/10= 21
A média do time A é 21 pontos.
Time B:
O mesmo procedimento,
25+ 25+ 9+ 10+ 25+
11+25+ 15+10 + 25= 180/10= 18
A média do time B é 18 pontos.
The temperature today will be atleast 10F | on a graph and inequality
Answer:
Temperature => 10F
Step-by-step explanation:
Mark brainliest if this helped!
Mark brainliest if this helped!
The ratio of the cost of a ticket to the number of tickets is 15:1. If the Cox family spent $45 on
tickets, how many tickets did they buy?
They bought 3 tickets! Hope this helps :) ✨
write an equation of the circle with center (8,-6) and radius 2
Answer:
(x - 8)^2 + (y + 6)^2 = 4.
Step-by-step explanation:
The general equation is:
(x - a)^2 + (y - b)^2 = r^2.
Plugging in the given values:
(x - 8)^2 + (y - (-6))^2 = 2^2
(x - 8)^2 + (y + 6)^2 = 4.
cade wants to learn more about chipmunks which of the following statistical question cade could ask
Answer:
B is the best choice
Step-by-step explanation:
A and C have nothing to do with numbers, so you can rule them out. D would only give you one piece of data.
With B, you'd get a number that had to be calculated. Probably a mean/average weight of a chipmunk.
Answer:
B 100% I just took the test
what is 12 divided by 25358
0.0004732
12/ 25358
answer depends if you want to round it
My cat, Huckleberry, sneaked out of the house and climbed onto my roof. My dad brought his extension ladder to help get Huckle down. Dad is standing 6 feet from the house, and the angle of elevation from him to Huckleberry is 75 degrees. To what length should the ladder be extended so that Dad can grab Huckle and bring him to safety? Round to the nearest tenth.
can someone solve this
Answer:
16
Step-by-step explanation:
1/2 ^(-1)=2
8×2=16
Hope that helped.
Choose the correct simplification of the expression a^9 multiplied by b^10/a^2 multiplied by b^7
A^11b^17
1/a^11b^17
1/a^7b^3
A^7b^3
Answer:
a^7 b^3
Step-by-step explanation:
The question can be interpreted as
[(a^9)( b ^10)] / [(a^2 )×( b ^7)]
Then we can bring the denominator up, which means the power on the denominator will become (-ve) once it comes to the numerator side. Then we have
a^(9-2) × b^(10-7)
We can simplify by performing substraction on the power
= a^7 b^3
find dy/dx in the following
1) y= sin x+ e^{x}
2) y= e^{x}-1/x+㏒e x
Answer:
2,6323
Step-by-step explanation:
list all the equivalent fractions for the 12/20
Answer:
6/10
9/15
12/20
Step-by-step explanation:
Answer: 6/10, 3/5
Hope it helps!
Data collected in a mall recorded the shoe color worn by 30 customers. Based on this information, if there are 360 customers in the mall, how many customers would you expect to have a black shoe?
Answer:
200 people
Step-by-step explanation:
I did the math on my calculator
Plz help my with this!
Answer:
D. 22.8 unitsStep-by-step explanation:
As per the graph we have:
MN = 4NP = 9MP is a hypotenuse and MP > NPApproximate perimeter of MNP is:
P > 4 + 9 + 9 = 22P > 22Option D is the only one greater than 22
PLEASE HELP MEEEE
A woman is laying on the ground relaxing and looking up at a plane that is passing by. If the plane’s altitude is 30,000 feet and the woman’s eyes are located 13,800 feet away from a point on the ground directly beneath the plane, what is the angle of elevation for the woman’s line of sight to the plane?
Answer:
23,500
Step-by-step explanation:
Help please will give brainliest
Answer:
B
Step-by-step explanation:
4x12=48/2x2=B or 48
Answer:
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this is the answer.
What is the correct factorization of
6x2 + 24x?
Hurry
Answer:
6x^2*(x+4)
Step-by-step explanation:
hope this helps! :)