Answer:
root 4 is a rational number
Step-by-step explanation:
A rational number is any number that can be expressed as a fraction of two integers, say where q is not zero.
7,13,19,25 write an equation to find the nth term of each sequence. Then find a24
Answer:
[tex]\boxed {a_{24} = 145}[/tex]
Step-by-step explanation:
According to the following pattern sequence ([tex]7, 13, 19, 25[/tex] ), it is Arithmetic Sequence, because every number is added by [tex]6[/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} = 7 + 6 (24 - 1)[/tex]
[tex]a_{n} = a_{24}[/tex]
[tex]a_{1} = 7[/tex]
[tex]n = 24[/tex]
[tex]d = 6[/tex]
-Solve:
[tex]a_{24} = 7 + 6 (24 - 1)[/tex]
[tex]a_{24} = 7 + 6 (23)[/tex]
[tex]a_{24} = 7 + 138[/tex]
[tex]\boxed {a_{24} = 145}[/tex]
Therefore, the 24th term is [tex]145[/tex].
The 24th term of the sequence is 145
7, 13 , 19, 25
The sequence is an arithmetic progression. Therefore, let's use arithmetic progression formula for nth term to find the 24th term.
Arithmetic progression:aₙ = a + (n - 1)dwhere
a = first term
d = common difference
n = number of term
Therefore,
d = 13 - 7 = 6
a = 7
a₂₄ = 7 + (24 - 1)6
a₂₄ = 7 + (23)6
a₂₄ = 7 + 138
a₂₄ = 145
Therefore, the 24th term of the sequence is 145
learn more on sequence here: https://brainly.com/question/14092689
the sum of 2 number is 64,twice the large number plus five times the smaller number is 20 find the 2 numbers
Answer:
The two numbers are: - 36 and 100
Step-by-step explanation:
let the smaller number = x, let the larger number = y
then...
x + y = 64
5x + 2y = 20
use substitution: y = (64 - x)
5x + 2(64 - x) = 20
3x = 20 - 128 = - 108
x = - 36
So the two numbers are: - 36 and 100
Tell me If I'm wrong
Jason solves a math problem on the board using the Power of Products Property. Is his answer correct? Explain.
63 • 73 = 423
A.
Yes; 63 • 73 is equal to (6 • 7)3 or 423.
B.
Yes; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
C.
No; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
D.
No; 63 • 73 is equal to (6 • 7)3 + 3 or 426.
Answer:A
Step-by-step explanation:
Use algebra titles to solve 3x = 3.
Answer:
x=1
Step-by-step explanation:
if 3x=3 divide both sides by 3 to get x=3
Answer:
1
Step-by-step explanation:
it tells you
Solve.
5
2x+
1
2x=5
1
2+
7
2x
The value of x is
Answer:
-64
Step-by-step explanation:
A soccer league has $86 to buy new soccer balls. If each ball costs $7, how many balls can the league buy?
Divide the amount they have to spend by the cost of a ball:
86/7 = 12.285
They can buy 12 balls.
Using the distance formula find the distance between (-2,5) and (-2,1)
your brother is 1/2 your age.your sister is 5 years older than your brother . your sister is 15 years old write and solve an equation to find your age x
pls help me I will mark brainleyest
GameStop has a sale on video games, all games are 30% off. If the Division is originally $50, what is the sale price?
Evalúa 50 + cd cuando c 1 yd = 15. 5 Atorado? Ve un video o usa una pista.
24g^3 + 10 +7g^5 - g^2 in standard form
Answer:
7g^5+24g^3-g^2+10
Step-by-step explanation:
find the ratio of 300ml to 6l
whats is 13.03 + 42+23
Answer:
Step-by-step explanation:
78.03
Answer:
78.03
Step-by-step explanation:
42 + 23 = 65Plug 65 in: 13.03 + 6513.03 + 65 = 78.03I hope this helps!
Luke has a situation on his hands. A pipe in his house froze and cracked from cold weather. Now he has a water leak. The leak has been releasing of a liter of water every 2 hours. If w represents the amount of water lost and h represents the number of hours, which equation represents this proportional relationship?
Answer:
1/2h=W
Step-by-step explanation:
1 liter/2 hours
1/2 liter/hour
W=Amount of water lost
H=hours
Answer:
w=1/3h
Step-by-step explanation:
Electron rescued 5 dogs and 3 cats this week.
If this happens every week for 6 weeks, how many animals
will Electron rescue?
Answer:
48
Step-by-step explanation:
5+3 multiplied by 6 weeks is 48
Alex spends 2/3 of his paycheck (p) on food and $3 in loose change on coffee. how much money did he spend
Answer:
Alex spends 2/3 of his paycheck (p) on food and $3 in loose change on coffee. how much money did he spend
Step-by-step explanation:
Farmer Janet can plant 9 feet of carrots in 15 minutes while her daughter Amy can plant 17 feet of carrots in half an hour. what is each persons unit rate of feet of carrots per hour
Answer:
janet can plant 36 per hour Amy can plant 34per hour
Step-by-step explanation:
Answer:
Janet's is 36 feet of carrots per hour
Amy is 34 feet of carrots per hour
Step-by-step explanation:
for Janet I did 60÷15=4(thqt is one hour) then 9×4=36 which is the answer
for Amy I did 17×2=34 because she does 17 in 40 mins which is half an hour so you would double to make it one hour
In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have between 2 and 4 players. Each player can score up to 20 points in each round of the game. Han and three of his friends decided to form a team and play a round. Match each expression or inequality to the quantity that it represents.
Answer:
20 times 4
Step-by-step explanation:
Han's team has 4 players.
A perfect score is the maximum possible score. Each player can score up to 20 points in each round, so 20 points is the maximum score.
If each of the 4 players scores 20 points, then the total score for the team is:
20 *4
That is the expression for the team's points.
Answer: 20*4
write an equation in slope-intercept form for the graph shown (i will give brainliest whoever gets it right)
Answer:
y=-3x+2
Step-by-step explanation:
what are the last ones
0.75 cups and 144 teaspoons
Step-by-step explanation:
I'm 99.99% sure I got it right
At a local grocery store, a bottle of water costs $1.25. At a baseball stadium the cost of a bottle of the same brand of water increases by 80%. What is the cost of a bottle of water at the stadium in dollars and cents?
A. $2.25
B. $2.52
C. $1
D. $.25
Answer:
C.1$
Step-by-step explanation:
I did it on a peace of paper but I don't know a way to explain it or show it ,I now that's why
but the answer is 1$
In each of the four relations below, the x values represent inputs and the y values represent the corresponding outputs. Which relation does not represent a function? * A) { (-2, -3), (1, 3), (3, -3), (5, 3) } B) { (-1, -5), (2, 4), (3, 7), (4, 10) } C) { (-2, 3), (1, 3), (3, 3), (5, 3) } D) { (3, 4), (4, 5), (3, -4), (4, -5) }
Given:
In each of the four relations below, the x values represent inputs and the y values represent the corresponding outputs.
To find:
The relation which does not represent a function.
Solution:
A relation is a function if there exist a unique output for each input.
In options A, B and C, we get unique output for each input.
In option D, we get two outputs y=4 and y=-4 for input x=3.
Since, there exist more than one output values for a single input value, therefore it is not a function.
Therefore, the correct option is D.
What is 7/4 plus -1/2 plus 2/3? And what’s the answer
Answer:
1.85
Step-by-step explanation:
1.75-0.5+0.6= 1.85 or 1 17/20
Answer:
1.85
Step-by-step explanation:
1.75 - 0.5 + 0.6 = 1.85
Sofia and Manuel are purchasing a home. They wish to save money for 15 years and purchase a house that has a value of $200,000 with cash. If they deposit money into an account paying 5% interest, how much do they need to deposit each month in order to make the purchase? Round your answer to the nearest cent, if necessary.
Answer:
Monthly deposit= $745.76
Step-by-step explanation:
Giving the following information:
Future Value (FV)= $200,000
Number of periods= 15*12= 180 months
Interest rate= 0.05/12= 0.0042
To calculate the monthly deposit, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (200,000*0.0042) / [(1.0042^180) - 1]
A= $745.76
.
If a shape is a square, then it is a rhombus.
Answer:
Yes every square is a rhombus, but not every rhombus is a square
Step-by-step explanation:
A number is divided by four. The result is added to five. This result ismultiplied by three to give 27. What is the number?
A. 16
B. 20
C. 1
D. 3 1/2
Which graph represents the solution of the inequality -3x + 1 less than 10
what is the unit rate of 20 pens for 1.60 and 25 pens for 2,25
Answer:
The 20 pens for 1.60 is better because the unit rate is cheaper
Step-by-step explanation:
Answer:
20/1.60=12.5
25/2.25=11.1
Step-by-step explanation:
Jada is putting a border around her rectangular garden. The garden is 12.63 meters long and 3.28 meters wide.
This image shows a rectangular garden having a length of 12.63m and width of 3.28m.
Part A
Jada estimates the perimeter of her garden by rounding the length and width to the nearest whole number. Which equation shows her estimate?
A. 10 + 5 + 10 + 5 = 30 meters
B. 12 + 3 + 12 + 3 = 30 meters
C. 13 + 3 + 13 + 3 = 32 meters
D. 13 + 4 + 13 + 4 = 34 meters
Part B
Jada also estimates the perimeter of her garden by rounding the length and width to the nearest tenth. Which equation shows this estimate?
A. 12.6 + 3.2 + 12.6 + 3.2 = 31.6 meters
B. 12.6 + 3.3 + 12.6 + 3.3 = 31.8 meters
C. 12.5 + 3.5 + 12.5 + 3.5 = 32 meters
D. 12.7 + 3.3 + 12.7 + 3.3 = 32 meters
Part C
What is the exact perimeter of Jada’s garden? Enter your answer in the box.
meters
Part D
Select words or numbers from the drop-down menus to explain which estimate is closer to the exact perimeter.
The numbers rounded to the nearest
Choose...
are closer because
Choose...
is closer to the exact perimeter than
Choose...
.
Answer/Step-by-step explanation:
Length of rectangular garden = 12.63 m
Width of rectangular garden = 3.28
Part A: Perimeter of garden if the length and height is rounded to nearest whole number.
12.63 rounded to nearest whole number = 13
3.28 rounded to nearest whole number = 3
Equation that shows her estimate would be: C. 13 + 3 + 13 + 3 = 32 meters
Part B: Perimeter of garden if the length and height is rounded to nearest tenth.
12.63 rounded to nearest tenth = 12.6
3.28 rounded to nearest tenth = 3.3
Equation that shows this estimate would be: B. 12.6 + 3.3 + 12.6 + 3.3 = 31.8 meters
Part C: Exact Perimeter of her garden.
Exact perimeter would be 12.63 + 3.28 + 12.63 + 3.28 = 31.82 meters
Part D:
Difference between 31.82 and the exact perimeter is 0.02, while difference between 32 and the exact perimeter is 0.18.
Therefore:
The numbers rounded to the nearest TENTH are closer because 31.8 meters is closer to the exact perimeter than 32 meters.
There are 10 lanes in the bowling alley where Harold bowls. He wants to make a
scale drawing of the bowling alley using a scale of 3 cm to 15 ft. One lane,
including gutters, is 60 ft long and 5 ft wide. What will the width of all 10 lanes on
his drawing be?
please help this is urgent!! provide good for explanation✨
Answer:
10cmStep-by-step explanation:
Given that the scale of the drawing is 3 cm to 15 ft.
This means that, every 15ft in the drawing will be represented by 3cm.
also there are a total of 10 lanes
given that the width of one lane is 5ft, the ten will be 5*10= 50ft
Now how many 15ft are there in 50ft= 50/15= 3.33
now in cm = 3.33*3=10cm
therefore on the drawing the width will be 10cm