Answer:
The 75th term of the arithmetic sequence -17, -13, -9.... is:
[tex]a_{75}=279[/tex]
Step-by-step explanation:
Given the sequence
[tex]-17, -13, -9....[/tex]
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
computing the differences of all the adjacent terms
[tex]-13-\left(-17\right)=4,\:\quad \:-9-\left(-13\right)=4[/tex]
The difference between all the adjacent terms is the same and equal to
[tex]d=4[/tex]
The first element of the sequence is:
[tex]a_1=-17[/tex]
now substitute [tex]d=4[/tex] and [tex]a_1=-17[/tex] in the nth term of the sequence
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_n=4\left(n-1\right)-17[/tex]
[tex]a_n=4n-21[/tex]
Now, substitute n = 75 in the [tex]a_n=4n-21[/tex] sequence to determine the 75th sequence
[tex]a_n=4n-21[/tex]
[tex]a_{75}=4\left(75\right)-21[/tex]
[tex]a_{75}=300-21[/tex]
[tex]a_{75}=279[/tex]
Therefore, the 75th term of the arithmetic sequence -17, -13, -9.... is:
[tex]a_{75}=279[/tex]
Lin’s family’s longevity noodles are about 15 cm long and Chen’s family’s longevity noodle are 8 cm longer than Lin’s family’s noodle. Write an equation that can be used to find the length of Chen’s family longevity noodle. Solve the equation.
Answer: 23 cm(Hope it's Right!)
Step-by-step explanation:
Write Lin as L and Chen as C
So put 25cm+8cm
Nicole plans to watch 3 movies each month . Write an equation to represent the total number of movies n that she will watch in months .
Solve the equation
x+4=3(3x-4)
Answer:
x = 2
Step-by-step explanation:
Cuatro amigos van al cine dos veces al mes y siempre comen un paquete de palomitas de maiz cada uno si no comia palomitas de maiz los cuatro amigos podrian ir al cine tres veces al mes sabiendo que cada paquete de palomitas de maiz cuesta $28 cual es el precio de cada entrada al cine
Answer:
El precio de la entrada al cine es de $56
Step-by-step explanation:
Cada uno de los 4 amigos las 2 veces por semana consumen un paquete de palomitas que cuesta: $28 ; entonces debemos multiplicar el costo de las palomitas por las dos veces que las consumen para saber el costo total de las palomitas:
28 x 2 =$56
El ejercicio nos dice que al no comer esas dos veces palomitas pueden ingresar a cine una tercera vez por semana ,lo que significa que al no pagar los $56 en palomitas podrán pagar una tercera entrada,lo que quiere decir que la entrada a cine es de $56.
Entonces podemos hacer la siguiente relación matemática: Precio total de las palomitas dos veces por semana = Precio de la entrada a cine.
What times 7 will get me to 38?
Answer:
5.428571428571429
Step-by-step explanation: just do 38 divided by 7 on a calculator
Given the side length, determine whether the triangle is acute, right, obtuse or not a triangle.
10, 23, 41
A. Acute
B. Right
C. Obtuse
D. Not a triangle
Since 41 is greater than the sum of the other two sides this is not a triangle.
please help me with this slope problem! :) (brainliest)
Answer:
Plot these points
(1,935)
(2,870)
(3,805)
(4,740)
(5,675)
Slope= -65
y intercept = 1000
and what it's saying is that we travel at a speed of 65 units an hour and we start 1000 miles away
Step-by-step explanation:
Just graph these points which you can get by plugging in the numbers
1000-65= 935
(1,935)
1000-65*2=870
(2,870)
1000-65*3= 805
(3,805)
1000-65*4=740
(4,740)
1000-65*5= 675
(5,675)
B:
y= mx+b where m is the slope and B is the y intercept
we can re write the equation as follows
-65x+1000
It's pretty clear that -65 is the slope and 1000 is the y intercept
17.) An ostrich can run 174 feet in 3 seconds. What is the slope of the line and what does it
represent?
Oliver buys 4 pineapples. Each pineapple is
$2 off the original price. He pays $4. What is
the original price of a pineapple?
Answer:
hello
Step-by-step explanation:
what is the answer?
Answer:
Step-by-step explanation:
4/5x<=2
x is less than or equal to 2.5
i need help
4x+2=2(x+6)
Answer:
x = 5
Step-by-step explanation:
Answer:
X=5
Step-by-step explanation:
Help needed ASAP!
Write a polynomial equation of degree 4 that has the following roots: -1 repeated three times and 4.
Answer:
[tex] {x}^{4} - {x}^{3} - {9x}^{2} - {11x}^{2} - 4 [/tex]
Step-by-step explanation:
Since the roots are -1,-1,-1 and 4 we can that as.
[tex](x + 1)(x + 1)(x + 1)(x - 4)[/tex]
x+1=0, x equal -1, and x-4=0 and x equal 4. Then apply the foil method to one at a time and you equal the answer above.
96/38n X 25/45 (multiplying rational expressions .simplify.)
[tex] \frac{96}{38} \frac{25}{45} [/tex]
That's my answer I hope it helps #brainliestbunch - _ - ;)[tex] \frac{96}{38} \frac{25}{45} [/tex]
That's my answer I hope it helps #brainliestbunch - _ - ;)30 tickets are sold for a raffle with two prizes. You bought two tickets. What is the probability
that you will win both prizes?
Hi!!! CLICK HERE!!! please answer this question well :)) i'll try to give brainliest when i can! thanks guys.
Step-by-step explanation:
its too blurry I can't see the numbers
I need help..........
Answer:
[C] 3 ⅔Explanation:
5 ⅓ - 1 ⅔
= 3 ⅔
Help ASAP please Ahhhhh
Answer:its A
Step-by-step explanation:
Answer:
Your answer would be A. Your welcome
Order the decimals from least to greatest.
0.7, 0.71, 0.07
Answer:
0,07, 0.7, 0.71
Step-by-step explanation:
0.07, 0.7, 0.71
that's it
PLEASE HELP ( I can mark if brainlest, no fake answers please)
Answer:
$80
Step-by-step explanation:
plug 40 into each equation for x
50+12(40)
simplify
50+480
simplify
530
10+15(40)
simplify
10+600
610
now subtract 530 from 610
610-530
80
What is the equation of a circle centered at the origin with radius 20
Answer:
we have a rule
(x-h)²+(y-v)²=r²
while h is the x intercept
v is y intercept
r is the radius
so the answer will be
x²+y²=400
or
x²+y²=20²
Guided Practice
Determine whether the function rule models discrete data, continuous data, or neither.
A hardware store sells bolts for $.35 apiece. The function C(p) = 0.35p relates the total cost of the bolts to the number p purchased.
A.
neither
B.
continuous data
C.
discrete data
Answer:
C.
discrete data
Step-by-step explanation:
The given function is:
C(p) = 0.95p
Where p represents the number of bolts purchased. We can calculate the cost based on the number of bolts purchased.
An important distinction between discrete and continuous data is that the continuous data is measured while discrete data is calculated or counted. Since we are obtaining the data by calculation, it must be discrete data.
The function can take on only specific values. For example for p=0, C is 0 and for p=1 the value of C is 0.95. The function cannot take any value in between 0 and 0.95. This is a characteristic of discrete function. A continuous function can take all possible values in an interval.
Therefore, the answer to this question is: The Function models discrete data.
how many solutions does 4x+1=3x+2
one solution
no solution
infinitely many solutions
Answer:
one solution
Step-by-step explanation:
If you simplify the equation, it becomes 1x+1=2. Then you subtract the 1 from 2 and get 1x=1. Therefore, x=1 which is ONE SOLUTION.
Simplify:
3 (2x - 4)
Answer:
Step-by-step explanation:
PLEASE HELP MEEEEEE I AM SOOOOOOOOOOOO CONFUZED
Calculate the area of the irregular polygon shown below:
24 square inches
44 square inches
54 square inches
84 square inches
Solve for x
5/6 = x/4
Answer:
hi
Step-by-step explanation:
hi
Answer:
it would be x= 10/3
Step-by-step explanation: If this answer is incorrect my apologies.
PLease HELLLPPPPP I NEED HELP
Answer: I don’t know...... sorry
Step-by-step explanation:
please I am struggling really bad help me
Which exponential function is represented by the graph ?
Answer:
amogusStep-by-step explanation:
The sum of two numbers is 55. The smaller number is 13 less than the larger number. What are the numbers?
Answer:
21 and 34.
Step-by-step explanation:
21 is 13 less than 34 and the sum of them is 55.
In ΔSTU, the measure of ∠U=90°, TS = 41, UT = 9, and SU = 40. What is the value of the sine of ∠S to the nearest hundredth?
Answer:
Step-by-step explanation:
sinS = 9/41 ≅ 0.22°