Answer:
9
Step-by-step explanation:
they only said simplify and i guessed the answer as undefined
If the sum of first 7 terms of an A.P is 49 and the sum of first 17 terms is 289 find the sum of first 30 term
Sum of first 7 terms of an AP = 49.
Sum of first 17 terms = 289
Find:the sum of first 30 term
Solution:We know that,
Sum of first n terms of an AP – S(n) = n/2 * [ 2a + (n - 1)d ]
Hence,
→ 7/2 * [ 2a + (7 - 1)d ] = 49
→ 2a + 6d = 49 * 2/7
→ 2( a + 3d ) = 14
→ a + 3d = 14/2
→ a + 3d = 7 -- equation (1)
Similarly,
→ 17/2 * [ 2a + 16d ] = 289
→ 17/2 * 2 * (a + 8d) = 289
→ a + 8d = 289 * 2/17 * 1/2
→ a + 8d = 17 -- equation (2)
Subtract equation (1) from (2).
→ a + 8d - (a + 3d) = 17 - 7
→ a + 8d - a - 3d = 10
→ 5d = 10
→ d = 10/5
→ d = 2
Substitute the value of d in equation (1).
→ a + 3 * 2 = 7
→ a = 7 - 6
→ a = 1
Now,
Sum of first 30 terms = 30/2 * [ 2(1) + (30 - 1)(2) ]
→ S(30) = 15 (2 + 58)
→ S(30) = 15 * 60
→ S(30) = 900
Therefore, the sum of first 30 terms of the given AP is 900.
I hope it will help you.
Regards.
answer refer in pic siso
Jose had the following division problem for homework. What is the quotient?
$0.56
$5.60
$56.00
$560.00
Answer: it’s C
Step-by-step explanation: I took the test :)
Answer:
C
Step-by-step explanation:
mark the other guy
:)
The lowest temperature ever recorded on Earth was $-89.2\degree\text{C}$ at Soviet Vostok Station in Antarctica. The highest temperature ever recorded was $56.7\degree\text{C}$ at Greenland Ranch in California. What is the difference between the highest and lowest recorded temperatures?
Answer:
145.9°C
Step-by-step explanation:
Given that :
Lowest temperature recorded (Soviet Vostock station Antarctica) = - 89.2°C
Highest temperature recorded (Greenland Ranch California) = 56.7°C
Difference between the highest and lowest recorded temperature :
(Highest temperature - lowest temperature)
(56.7°C - (-89.2°C))
= 56.7°C + 89.2°C
= 145.9°C
A carpenter has less than 120 minutes to spend painting furniture each day. Today, he has spent 30.5 minutes painting a desk. Now he will paint x chairs, each of which takes 12.5 minutes. What is the maximum number of chairs the carpenter can paint?
Answer:
Maximum number of chairs is 7.
Step-by-step explanation:
We are told he has less than 120 minutes to spend painting furniture each day.
Now he has spent 30.5 minutes painting a desk.
Also, he wants to paint "x" number of chairs with each chair taking 12.5 minutes.
Thus, we have;
30.5 + 12.5x < 120
Subtract 30.5 from both sides to get;
12.5x < 120 - 30.5
12.5x < 89.5
x < 89.5/12.5
x < 7.16
Thus, maximum number of chairs he can paint is 7
Pauline orders wristbands from two different companies. • Company 1 sells each wristband for $2 and has free shipping. Company 2 sells each wristband for $1.25 and charges $6 for shipping per order. Write an equation to model the number of wristbands, w, for which the two companies charge the same amount.
Answer:
8 wristbands
Step-by-step explanation:
Let us assume that both of the company were ordered to deliver w wristbands.
The amount of money charged by company 1 who sells at $2 and offers free shipping is given as:
2w
The amount of money charged by company 2 who sells at $1.25 and $6 for shipping per order given as:
1.25w + 6
If both companies charge the same amount, hence:
2w = 1.25w + 6
2w - 1.25w = 6
0.75w = 6
w = 6/0.75
w = 8
The two companies charge the same amount for 8 wristbands
TILE Mark is purchasing new tile for his bathrooms. The home improvement store charges $48 for each box of tiles when three or fewer boxes are purchased, $45 for each box when 4 to 8 boxes are purchased, $42 for each box when 9 to 19 boxes are purchased, and $38 for each box when more than nineteen boxes are purchased a. Write a piecewise-defined function describing the cost of the boxes of tile. b. What is the cost of purchasing 5 boxes of tile? What it is the cost of purchasing 19 boxes of tile?
Answer:
Kindly check explanation
Step-by-step explanation:
3 boxes or less = Cost of tiles = $48
4 - 8 boxes ; cost = $45
9 - 19 boxes ; cost = $42
> 19 boxes ; cost = $38
Cost of purchasing 5 boxes of tiles :
$45 * 5 = $225
Cost of purchasing 19 boxes :
$42 * 19 = $798
Given that 1 pound equals 16 ounces, how many pounds are in 116 ounce -) A) 6.75 pounds B) 7.25 pounds 7.5 pounds D) 7.75 pounds
Answer:
B)7.25
Step-by-step explanation:
16x7.25=116
Can anyone do this question?
Answer:
its simple 5.90
Step-by-step explanation:
Frederick is training for a triathlon and wants to focus on swimming this week. He can swim 25 yards in 23 seconds. He set up a proportion to determine how long it would take him to swim 175 yards at this rate. Which proportions can be used to determine how long it would take him to swim 175 yards?
Answer:
161secsStep-by-step explanation:
If Frederick can swim 25 yards in 23 seconds, then:
25 yards = 23 seconds
To determine how long it will take him to swim 175yards, we will say:
175 yards = x
Equating both expression:
25 yards = 23 seconds
175 yards = x
Cross multiply
25x = 23*175
25x = 4025
Divide both sides by 25
25x/25 = 4025/25
x = 161 secs
This means that it will take Frederick 161 secs to swim 175 yards
25 POINTS what is the domain of the quadratic function graphed below?
a. all real numbers
b. x>=2
c. x>3
d. y=(0,8)
Answer:
A or D i tink
Step-by-step explanation:
becuz i tink b and c is not to me
Answer: (a) all real numbers
Step-by-step explanation:
The arrows mean that the line continues for infinity, so the x continues to change for infinity.
Name the slope of a line parallel to y = -3x -2
rewrite the quadratic function f(x) = (2x -3)(x+4) in standard form
Answer:
f(x) = 2x^2+5x-12
Step-by-step explanation:
Find out if a function is linear or nonlinear from a graph.
Step-by-step explanation:
Believe it or not, we can determine whether a function is linear or nonlinear simply by looking at its graph! Because the rate at which y is changing with respect to x is constant in a linear function, the graph of a linear function is a line, as the name implies. For example, observe the graph of Sophie's function.
Answer:
Linear functions make graphs that are perfectly straight lines. Nonlinear functions have graphs that are curved.
Victor runs 3 laps around the track every 5 minutes. How many laps does Victor run in 1 minute?
Answer:
Victor runs 0.6 of a lap in 1 minute
Step-by-step explanation:
From the question;
3 laps = 5 minutes
x laps = 1 minute
3 * 1 = 5 * x
3 = 5x
x = 3/5
x = 0.6
Victor runs 0.6 of a lap in a minute
Help ASAP please please plsssssssssssss
Answer: 11 1/3 (eleven and one third)
Step-by-step explanation:
Using these clues, make a quadilateral. Write the name and each side. What is the perimeter?
1. rectangle with sides 7 feet
2. 7feet
3. 10 feet
4. 10feet
The name of my shape is a parallelogram. The sides are:
7 feet7 feet10 feet10 feetThe perimeter is 34 feet because:
Step 1: Add smaller groups.
10 + 10 = 20
7 + 7 = 14.
Step 2: Add the two numbers.
14 + 20 = 34.
Hope this answer helps you!
What is the equation of the line with a slope of 2/3 and a y-intercept of 4?
Answer:
y = 2/3x + 4
Step-by-step explanation:
19. A package of 12 confetti eggs costs $2.88.
At this rate, what is the cost of 1 confetti egg?
Answer:
0.24$
Step-by-step explanation:
Each egg costs 1/12 of 2.88.
So either you multiply 2.88 by 1/12
or you divde 2.88 by 12
Answer:
0.24
Step-by-step explanation:
you would divide 2.88 by 12 hope this helps.
03.02) If g(x) = x2 + 2, find g(3). (2 points) 9 8 11 6 4. (03.02) If g(x) = 2(x − 4), find the value of x if g(x) = 20. (2 points) 32 12 14 10 5. (03.02) Michelle rents a movie for a flat fee of $1.50 plus an additional $1.25 for each night she keeps the movie. Choose the cost function that represents this scenario if x equals the number of nights Michelle has the movie. (2 points) c(x) = 1.50 + 1.25x c(x) = 1.50x + 1.25 c(x) = 2.75 c(x) = (1.50 + 1.25)x 6. (03.02) Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(150)? (2 points) This is the average number of days the house stayed on the market before being sold for $150,000. The house sold on the market for $150,000 and stayed on the market for an average of 150 days before being sold. The house sold for $150,000. The house stayed on the market for an average of 150 days before being sold.
Answer:
slipknot is the answer to all your problems
Step-by-step explanation:
there is no explanation
Please, Please help me
One number is 7 times a first number. A third number is 100 more than the first number If the sum of the three numbers is 865, find the numbers.
A family leaves at 6:35 AM on a 225 mile trip. If the average speed is 76 miles per hour, what time will they reach their destination?
Answer: 9:32
Step-by-step explanation:
225/76 is 2.96, then you do 60x0.96 to find how many minutes that is which is 57 plus the 2 hours is 2 hours 57 minutes and when you add 2 hours 57 minutes to 6:35 you get 9:32
pls answer for points
Answer:
Step-by-step explanation:
5/6 - (2/5 + 1/3)
25/30 - (12/30 + 10/30)
25/30 - 22/30 = 3/30 = 1/10
answer is b
A store is marking down the price of a television 25% from the original price of $250 which expression can be used to find the markdown price
Answer:
62.5%
Step-by-step explanation:
Thw price markdown will be 62.5%
Answer a I think
Step-by-step explanation:
help the extra pics are for the extra answers to the same questions.
Answer:
B
B
B
I think these are right
Step-by-step explanation:
All of them are bs.
7+root 3 divided by 7-root 3
Which statement about the number 49 is true
Answer:
F.
Step-by-step explanation:
Prime means that it is only divisible by 1 and itself, and we know that it is also divisible by 7, therefore it is a composite number because it has 1, 7, and 49 as factors.
James bought a car and paid for it in equal payments of $854. After making 41 payments, he still had to pay $16,331.
Can someone help me on questions 10-15
Answer:
10. Supplementary
11. Congruent
12. Congruent.
13 . congruent
14 supplement
15 supplementary
Hope this helps you Do mark as brainliest!Expressions equivalent to (7^3 x^4)^0
Answer:
Step-by-step explanation:
Any number or variable to the power of 0 is 1
(7^3 x^4)^0 = 1