Answer:
[tex]\boxed {a_{24} = - 70}[/tex]
Step-by-step explanation:
According to the following pattern sequence ([tex]-1, -4, -7, -10[/tex] ), it is Arithmetic Sequence, because every negative number is subtracted by [tex]3[/tex]. So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:
[tex]a_{n} = a_{1} + (n - 1) d[/tex]
[tex]a_{n}[/tex]: nth term in the sequence
[tex]a_{1}[/tex]: 1st term
[tex]n[/tex]: term position
[tex]d[/tex]: Common difference
-Apply to the formula:
[tex]a_{24} = -1 - 3 (24 - 1)[/tex]
[tex]a_{n} = a_{24}[/tex]
[tex]a_{1} = -1[/tex]
[tex]n = 24[/tex]
[tex]d = -3[/tex]
-Solve:
[tex]a_{24} = -1 - 3 (24 - 1)[/tex]
[tex]a_{24} = -1 - 3 (23)[/tex]
[tex]a_{24} = -1 - 69[/tex]
[tex]\boxed {a_{24} = - 70}[/tex]
Therefore, the 24th term is [tex]-70[/tex].
What is 4÷3/5 Options:6 6 2/5 6 2/3 8
Answer:
[tex]6\frac{2}{3}[/tex]
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Complete the statement relating solutions and roote
plesse answer this question
Answer:
number 2......................
A hall has 35 rows. Each successive row contains two additional seat. If the first row has 20 seats, how many seats are in the hall?
Answer:
There are 1,890 seats in the hall
Step-by-step explanation:
The number of seats in the first row = 20 seats
The number of rows in the hall = 35 rows
The number of additional seat per row = 2 Seat
Therefore, the sequence of seats in the hall is an arithmetic sequence with the first term, a = 25, the common difference, d = 2, and the number of terms, n = 35
The formula for finding the sum of n-terms of an arithmetic progression, Sₙ is given as follows;
Sₙ = n/2 × [2·a + (n - 1)·d]
Plugging in the values, we get;
Sₙ = 35/2 × [2 × 25 + (35 - 1)×2] = 1890 seats
Therefore, there are 1,890 seats in the hall.
is 1,2 a function?
If it’s correct I will cashapp you :))
Answer:
yes
Step-by-step explanation:
Since there is one value of y for every value of x, this relation is a function.
The relation is a function.
Chad sells custom T-shirts with five friends. They want to make enough money so that, after splitting the earnings evenly, each person earns 40
Answer: They earned 500 bucks in total
Answer:
They want to make 200 dollars
Step-by-step explanation:
40*5=200
Find the area of the shaded region
Answer:
35
Step-by-step explanation:
Here, the shaded region is equal to the non-shaded triangle. To know why this is, look at the formula for a triangle: A = b*h/2. But if we look further, we also know that the area of a rectangle is A = b*h. So the area of a rectangle is twice that of a triangle. And this is always true as long as the dimensions are the same. So here, the shaded region is just (14*5)/2 which is 35. We can also find this out by calculated the area of a rectangle and minus the area of the rectangle.
6x + 1 = 6x - 8 what is the value of x
Answer:
No solution
Step-by-step explanation:
6x + 1 = 6x - 8
-6x -6x
1 ≠ -8
x3 = 0.008 what does the x equal
What is the value of x in the equation 8+4 = 2(x-1)?
5
11
2
13
2.
7
Answer:
x = 7
Step-by-step explanation:
In a given year, the population of Metro City is 7420, and the population is decreasing by 152 people per year. The population of Smallville is consistently 1200 less than half of Metro City. Determine how long it will take for Smallville's population to reach 2282.
Which answer provides the correct equation and solution for the situation, where x represents the number of years?
A. The equation is 2282=2(7420−152x)+1200. It will take 45.26 years for the population of Smallville to be 2282 people.
B. The equation is 2282=2(7420−152x)+1200. It will take 45.26 months for the population of Smallville to be 2282 people.
C.The equation is 2282=12(7420−152x)−1200. It will take 3 months for the population of Smallville to be 2282 people.
D. The equation is 2282=12(7420−152x)−1200. It will take 3 years for the population of Smallville to be 2282 people.
Answer:
The correct option is D.
Step-by-step explanation:
Let x denote the years.
The information provided is:
The population of Metro City is 7420.The population is decreasing by 152 people per year.The population of Smallville is consistently 1200 less than half of Metro City.From the provided data derive the equation for the population of Smallville x years after as follows:
[tex]Y = [\frac{1}{2}\cdot (7420-152x)]-1200[/tex]
The population of Smallville is 2282 after x years.
Compute the value of x as follows:
[tex]2282= [\frac{1}{2}\cdot (7420-152x)]-1200[/tex]
[tex]\frac{7420-152x}{2}=2282+1200\\\\7420-152x=3482\times 2\\\\152x=7420-6964\\\\152x=456\\\\x=3[/tex]
Thus, the time it will take for Smallville's population to reach 2282 is 3 years.
The correct option is D.
Simplify√16 r6
A) 4r2
B) 4r3
C) 8r2
D) 8r3
Answer:
B) [tex]4r^{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{16r^{6}}=\sqrt{4*4* r^{(3*2)}\\[/tex]
[tex]=\sqrt{4^{2}*(r^{3})^{2}}\\\\=4*r^{3}\\\\=4r^{3}[/tex]
Answer:
B) 4r3
Step-by-step explanation:
Hope this helps.
Select three ratios that are equivalent to 8:58,
Choose 3 answers:
(Choice A)
A
16:10
(Choice B)
B
50:80
(Choice C)
C
48:30
(Choice D)
D
32:20
(Choice E)
E
64:35
Answer:
Step-by-step explanation:
Given expression:
The ratio equivalent to 8:58
let us first reduce this ratio to the simplest term:
Divide by 2;
4 : 29
A. 16: 10
Reduce to the simplest term by dividing by 2;
4 : 5
B . 50:80
Reduce to the simplest term by dividing by 10;
5 : 8
C. 48 : 30
Reduce to the simplest term by dividing by 6:
8 : 5
D. 32 : 20
Divide through by 4;
8 : 5
E. 64 : 35
Cannot be further simplified
Spoopy doopy doo ill ask a question and first, to get correct I will give the brainiest.
Tim has 789 Oreos Jon has 2x more Oreos than Tim, Pops has 4 times more than Jon how many Oreos does everyone has altogether? ASAP or I won't give brainiest.
4,734 is the answer because I used my calculator XD
Step-by-step explanation:
8679 easy equation all u gotta do is multiply 789 times 2 then take that number and multiply it by 4 and add all the numbers u got up
HELP ME I NEED HELP EASY 10 POINTS
Answer:
X = 14
give me brainliest please
Step-by-step explanation:
3x + 29 = 7x - 27
3x + 56 = 7x
56 = 4x
x = 14
Write the explicit formula for the arithmetic sequence 6, 8, 10, 12, . . . What is term number 46 in this sequence?
Answer:
Answer:
102
Step-by-step explanation:
Which expression is equivalent?
- 5(2x -3y +4)
Answer:
A
Step-by-step explanation:
Plsssss help!!! Brainliest....
Answer:
yous welcome
Step-by-step explanation:
6. is 2
7. is 1
8. is 100
Find the value of a for which the solution of the inequality is all real numbers
a(x + 3) < 5x + 15 - X
Answer:
x = 3
Step-by-step explanation:
(3 • (5x - 15)) - 15 • (x - 3) = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
5x - 15 = 5 • (x - 3)
Equation at the end of step
3
:
15 • (x - 3) - 15 • (x - 3) = 0
STEP
4
:
Pulling out like terms
4.1 Pull out 15
Pulling out like terms :
4.2 Pull out x-3
After pulling out, we are left with :
15 • x-3 • ( 1 * 1 +( (-1) * (-1) ))
Equation at the end of step
4
:
30 • (x - 3) = 0
STEP
5
:
Equations which are never true
5.1 Solve : 30 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : x-3 = 0
Add 3 to both sides of the equation :
x = 3
One solution was found :
x = 3
The required value of a for which the solution of the inequality is all real numbers is a > 4.
What is inequality?
A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
Now the given inequality is,
a(x + 3) < 5x + 15 - x
or, a(x + 3) < 4x + 15
Now let us solve for x first,
⇒ ax + 3a < 4x + 15
Subtract 3a from both sides we get,
ax < 4x + 15 - 3a
Subtract 4x from both sides we get,
ax - 4x < 15 - 3a
or, (a - 4)x < 15 - 3a
Dividing both the side by (a - 4) we get,
x < (15 - 3a) / (a - 4)
Now for solutions to be real numbers,
a - 4 > 0
subtracting 4 both the side we get,
⇒ a > 4
this is the required value of a for which the solution of the inequality is all real numbers
Thus, the required value of a for which the solution of the inequality is all real numbers is a > 4.
To learn more about inequality :
https://brainly.com/question/13363104
#SPJ2
Jaylon makes $57,000 and is getting annual raises of $2,500. Anita makes $64,000 and is getting annual raises of $1,500. How many years, y, will it take for Jaylon and Anita to make the same amount of money?
A. 121
B. 7
C. 1.75
D. 30.25
HELP ASAP!!!!! I’ll give u brainlest
Answer:
first one (382,000)
Step-by-step explanation:
just multiply by 10^5
Answer:
382000
Step-by-step explanation:
3.82*100*1000=382*1000=382000
How much cents are in 12 quarterS answer fast!!!!
Answer: 300 cents or 3 dollars
Step-by-step explanation: 12x25=300.
Answer:
300 CENTS
Step-by-step explanation:
hope this helps
Question 4(Multiple Choice Worth 3 points)
(03.01)
Which of the sums below can be expressed as 8(2 + 7)?
O2 +56
O 10 + 15
O 16 + 7
O 16 + 56
Answer:
16+56
Step-by-step explanation:
8(2 + 7)
=8*2+8*7
16+56
Suppose it was –5 degrees Celsius at 6:00 a.m. By noon, the temperature had Increased by 11 degrees. What was the temperature at noon?
Answer:
6
Step-by-step explanation:
11 - -5 = 6
The temperature at noon is 6 degrees Celsius.
GivenSuppose it was -5 degrees Celsius at 6:00 a.m.
By noon, the temperature had increased by 11 degrees.
What is temperature?Temperature declines as altitude increases.
The temperature at noon is calculated by adding the morning temperature and temperature in the afternoon.
The temperature in noon = temperature at 6;00 a.m. + increase in temperature in afternoon.
The temperature in noon = -5 + 11
The temperature in noon = 6 degrees.
Hence, the temperature at noon is 6 degrees Celsius.
To know more about Temperature click the link given below.
https://brainly.com/question/22618350
5% of 59 is what number?
Answer:
2.95
Step-by-step explanation:
Answer:
Hello!!! erz here ^^
Step-by-step explanation:
2.95
5 x 59
-----------
100
= 2.95
I really need the answer to this plzzzzzz
Answer:
it may be c but im not usre
Step-by-step explanation:
solve for m. m=-(4+m)+2
Answer:
m= -1
Step-by-step explanation:
Order summands
2
Apply negation to the value inside parentheses
3
Add the numbers
4
Add
mm
to both sides of the equation
5
Simplify
If x is 6, then 7x =
Answer:42
Step-by-step explanation: You have to multiply 7 per 6 and so the result will be 42.
What is the sum of zeros in this equation (m-10)(8m-1)=0? Enter your ancwer as a fraction. PLSSS I RLLYYY NEEDD HELPP
Answer:
Step-by-step explanation:
m-10=0
m = 10
8m-1=0
8m=1
m=1/8
Question 4
Which of the following statements is true (read each carefully!):
.
The square root of 30 is between 6 and 7.
• The square root of 41 is between 5 and 6.
The square root of 14 is between 3 and 4.
• The square root of 27 is between 14 and 15.
Answer:
The square root of 14 is between 3 and 4.
Step-by-step explanation:
The answer would be that because the square root of 14 is 3.74165738677. HOPE THIS HELPS! CAN I HAVE BRAINLIEST?!