Answer:
An arithmetic sequence is a sequence such that the difference between two consecutive terms is a constant, and we can call it d.
Then the general recursive relation is:
Aₙ = Aₙ₋₁ + d.
And the sum of the first N terms of this sequence is given by:
S(N) = (N/2)*(2*A₁ + (N - 1)*d)
Where A₁ is the first term of the sequence.
In this case, we have:
A₁ = -4910
Aₙ = Aₙ₋₁ + 8
Then we have: d = 8
(it actually says:
ai = -4910
ai = Ai-1 +8
But that has no actual meaning, so I assumed that the first one was actually the first term of the sequence)
The sum of the first 575 terms of this sequence is given by:
S(575) = (575/2)*(2*(-4910) + (575 - 1)*8) = -1,503,050
This number is greater than 1 and both the square of an integer and the cube of an integer? What is the number?
Answer:
64
8² = 64
4³ = 64
What is logo e' rewritten using the power property?
O elog6f
O flog6e
O log6(e•f)
O log6(e+ f)
MAAP REVIEW TEST 1 ATTEMPT Section 1 21 of 6821 of 68 Items 53:53 / 02:20:00 Item 21 Mrs. Peele has 1114 pounds of cookie dough. A batch of cookies requires 212 pounds of cookie dough. How many batches of cookies can Mrs. Peele make? 334 batches 3 and 3 fourths, [if gte msEquation 12]>34 412 batches 4 and 1 half, [if gte msEquation 12]>12 834 batches 8 and 3 fourths, [if gte msEquation 12]>34 2818 batches 28 and 1 eighth, [if gte msEquation 12]>18
Answer:
4 1/2
Step-by-step explanation:
Mrs. Peele has 11 1/4 pounds of cookie dough. A batch of cookies requires 2 1/2 pounds of cookie dough. How many batches of cookies can Mrs. Peele make?
Number of batches = total pounds of Dough Mrs Peele has / total dough required to make one batch
11 1/4 ÷ 2 1/2
convert the mixed fractions to improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
45/ 4 ÷ 5/2
45 / 4 x 2/5 = 9/2 = 4 1/2
answer the question bye 11:15 please please please
Answer:
1. 210 m³
2. 320 in³
3. 189 m³
4. 150 cm³
5. 576 ft³
6. 240 m³
7. 220 cm²
8. 150 ft²
9. 132 in²
10. 592 m²
Step-by-step explanation:
Volume = l × w × h
Area = 2 (wl + hl + hw)
Volume is always cubed.(³)
Area is always squared (²)
Plug it in.
You went to the mall with $120 and spent $74. What percent was not spent?
Answer:
38.33
Step-by-step explanation:
Given: Total amount = 120, Amount used = 74
To find: percent that was not spent
Solution: Firstly, find how much is 74 out of 120. To find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by 100. For this case, to convert 74 to a percentage, 74 x 100 = ...61.67%
Then, 100% - 61.67 = 38.33
The area of a square is 49 square inches or less. Which set describes the domain for s, the
length of one side of the square?
Step-by-step explanation:
Any positive number can. be a side length. It cannot pass 7 because a square with 49 sqr lnches as a area has side lengths with the measures of 7.
[tex]0 \leqslant x \leqslant 7[/tex]
Emily works at a music store where she repairs guitars. She keeps track of the types of guitars she's fixed and the types of repairs she's made. Her records appear in the table below.
Calculate the following percentages based on the frequency table.
Round to the nearest hundredth of a percent.
Answer:
1. 31.3%
2. 34.35%
3.62.6%
Step-by-step explanation:
There were 131 acoustic guitars, and 41 of them needed neck repair.
41/131 = 0.3130 = 31.3%
There were 262 total guitars serviced by Emely. 60 of them were acoustic and needed a string repaired, and 30 of them ere acoustic and needed repair, so 90 of them were acoustic and did not need neck repair.
90/262 = 0.3435 = 34.35%
There were 131 electric guitars. 48 of them had a broken string and 34 of them needed body repairs. So 82 of them needed either string or body repairs.
82/131 = 0.6260 = 62.6%
what is 69x420+77-1x44
Answer:
29013
Step-by-step explanation:
Do PEMDAS. Multiply 69 and 420 and 1 and 44. Then you will get 28980+77-44. Then add and subtract from there. Answer is 29,013.
Hurry plzzzzzz help
Answer:
8. 15
10. 90
12. 36
Step-by-step explanation:
8.
The mean of the 5 data is 51.
(55 + 60 + 35 + 90 + x) ÷5 = 51
(240 + x) ÷5 = 51
240 + x = 255
x = 15
10.
The mean of the 5 data is 127.
(100 + 112 + 98 + 235 + x) ÷5 = 127
(545 + x) ÷5 = 127
545 + x = 635
x = 90
12.
The mean of the 5 data is 40.
(34 + 56 + 45 + 29 + x) ÷5 = 40
(164 + x) ÷5 = 40
164 + x = 200
x = 36
In seattle washington, it rained 184 days in 2001. What percent of days did it rain.
Answer:
50.41%Step-by-step explanation:
It rained 184 days out of 365:
184/365*100% = 50.41%It rained 50.41% of days
What is closure property ?
Answer:
In mathematics, a set is closed under an operation if performing that operation on members of the set always produces a member of that set. For example, the positive integers are closed under addition, but not under subtraction: 1 − 2 is not a positive integer even though both 1 and 2 are positive integers.
Step-by-step explanation:
I hope this helps you out.
HELP ME Using the following equation, complete the square and find the center and radius of the circle:
x2 + y2 + 4x − 6y − 12 = 0
You must show all work and calculations to receive credit.
Answer: [tex](-2,3)[/tex], [tex]r=5\ \text{units}[/tex]
Step-by-step explanation:
Given
the equation is [tex]x^2+y^2+4x-6y-12=0[/tex]
completing the square
[tex]\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2[/tex]
Thus, the center of the circle is [tex](-2,3)[/tex] and radius is [tex]r=5\ \text{units}[/tex]
Rationalize the denominator
7√5 - 5√2
---------------
5√2 - 2√5
Answer:
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
=> 5√3-5√2 × 5√3+5√2
=> 25×3 - 25×2 [(a-b) (a+b) = a²-b²]
=> 75 - 50=> 25
Steve has a hammer that is 0.29 meters long. Which expression is equal to the length, in meters, of Steve's hammer?
Answer:
x = 0.29 m
Step-by-step explanation:
Given :
The length of the hammer is = 0.29 m
The hammer is a tool that may be used in various operation or work by mechanics, plumbers, or masonries and even by normal people.
So let the length of the hammer be x.
The length of the hammer is expressed in meters or inches or centimeters.
Therefore, the expression of length of the hammer is expressed as x = 0.29 m.
I need help plsss anyone!! At least answer one of them!! U get points
what is the question.......
8. If v2 = u2+2gs, find the value of s when v = 25,
u= 12 and g = 10.
Answer:
s = 24.05
Step-by-step explanation:
Given
v² = u² + 2gs ← substitute v = 25, u = 12, g = 10
25² = 12² + (2 × 10 × s)
625 = 144 + 20s ( subtract 144 from both sides )
481 = 20s ( divide both sides by 20 )
24.05 = s
SOMEONE PLZ HELP ME QUICKKK
Use the following data set to answer the questions below.
8, 15, 17, 19, 21, 82
1. What is the mean?
2. What is the median?
3. Is there an outlier? If so, what is the outlier?
4. What is the mean without the outlier?
Answer:
1.The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
2.The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. ... If there is an odd amount of numbers, the median value is the number that is in the middle, with the same amount of numbers below and above.
3.There are no outliers. Explanation: An observation is an outlier if it falls more than above the upper quartile or more than below the lower quartile.
4.20. The "average" you're talking about is actually called the "mean". It's not exactly answering your question, but a different statistic which is not affected by outliers is the median, that is, the middle number. {90,89,92,91,5} mean: 73.4 {90,89,92,91,5} median: 90.
Step-by-step explanation:
brainless pls
Find the area of the rhombus. picture attached. NO LINK ANSWERS.
Answer:
28.5
Step-by-step explanation:
Answer:
17.5
Step-by-step explanation:
sorry if i'm wrong
A=pq
2=5·7
2=17.5
5738 divided by 8 (i only need the remainder)
Answer:
717.25 that's the answer
5738 divided by 8 but you only want the R and the R is 2869
The picture is attached
Answer:
Step-by-step explanation:
A)
3x+1
B)
2Cos(2x-1)
Starting at the 6th floor, an elevator went down 1 floor, up 6 floors, and then down 4 floors. Find the number of the floor on which the elevator finally stopped.
Answer:
The answer is that the elevator stopped at the 7th floor
Step-by-step explanation:
Find the Area of the trapezoid.
A. 56
B. 28
C. 49
D. 35
Answer: b
Step-by-step explanation:
Find the radius....
Help asap
Answer: the radius would be B
What equation does this graph show?
Answer:
y = 1/2x + 2
Step-by-step explanation:
y = mx + b is the format you use.
m = slope (rise over run)
b = y - intercept
A 15-pound bag of dog food at Wagging Tails Pet Store costs $9.75. What is the cost per pound for the dog food?
Answer:
$0.65 per pound
Step-by-step explanation:
9.75 divided by 15 = 0.65
f(n) = -5n
what is n?
6n because 5n +n =6 its probably wrong so hope its right??????
please help me out :))
Answer:
144
Step-by-step explanation:
It rotates out of 360 degrees, and since it is a pentagon that rotates from two of its vertices, then 360/5 would give us the amount it is rotating from one vertice. So 72. Then multiply it by two because you are moving from e to b.
144
Please help!!!
i don’t understand this
Answer:
B. is your answer.
Step-by-step explanation:
3/3 x 1/3 will have a poduct less than 1/3/
Answer:
False
Step-by-step explanation:
3 over 3 is equal to 1. So 1 multiplied to 1 over 3 would equal 1/3.
plssss helppp 29 REWARD BRAINLIEST
Answer: 1. -5 because what you do on the left you do on the right
2. i believe it’s a disjuction bc its true if at least one of the statements that form it is true.