Answer:
Please Mark as Brainliest!!!!!!
Step-by-step explanation
In an auditorium, there are 21 seats in the first row and 29 seats in the second row. The number of seats in a row continues to increase by 8 with each additional row. How would you find the 100th row?
We can take this as an arithmetic sequence, as the seats in next row is calculated by adding 8 to previous row
So here common difference will be 8
the first term is 21
the arithmetic sequence is given by:
Putting the values of a1 and d
for 100th row,
Putting n=100
3. The sequence 6, 18, 54, 162, … shows the number of pushups Kendall did each week, starting with her first week of exercising.
Give the rule you would use to find the 20th week.
Given sequence is:
6, 18, 54, 162, …
we can see that the common difference is not same so we will find the common ratio
The given sequence is a geometric sequence as are the same for consecutive terms
The geometric sequence is given by:
Hence,
2. Seats in 100th Row = 813
3. Rule is:
Keywords: Sequence, ratio
Answer:
see explanation
Step-by-step explanation:
The sequence is
22, 28, 34, ....
Since there is a common difference of 6 the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
a₁ is the first term and d the common difference
Here a₁ = 22 and d = 6, then
[tex]a_{n}[/tex] = 22 + 6(n - 1) = 22 + 6n - 6 = 6n + 16
Equate to 100 and solve for n
6n + 16 = 100 ( subtract 16 from both sides )
6n = 84 ( divide both sides by 6 )
n = 14
Thus the 14 th row has 100 seats
3. (03.01)
Which expression is equivalent to 3(5 + 6)?
8+9
8 + 6
15 + 18
15 + 6
What is quardtric form
Answer:
445
Step-by-step explanation:
) Buyers are charged a shipping fee of $4.75 for each scarf order.
Which expression can you use to find the total price of a scarf order?
Answer:
huh can you put the whole question?
Step-by-step explanation:
Put all the answers
Step-by-step explanation:
Place each pair of angles in the correct column.
Answer:
congruent: 1 & 8,
congruent & corresponding: , 4&8
supplementary: 2&5, 3&5, 3&4
i don’t see how anything can be congruent AND supplementary unless the angles are both 90.... hope this helped
Slope from graph 2
Find the Slope!
Answer:
y= -4x+4
Step-by-step explanation:
so the slope is -4x
Answer:
5/2 is the slope
Step-by-step explanation:
Rise/Run= 5/2
so, slope=5/2
Tickets for all of the described charity raffle games cost $2 per ticket .identify the games in which a person who buys a ticket for each game every day for the next 400 days could expect to lose less than a total of $200
Answer:
Step-by-step explanation: this is for plato users!
The temperature at noon is 75 degrees. The temperature drops 3 ½ degrees every half hour because a cold front starts coming through the area. What is the temperature at 4 P.M.?
Answer:
47 degrees
Step-by-step explanation:
3 1/2 x 8= 28
75-28= 47
Bags of pretzels are sampled to ensure proper weight. The overall average for the samples is 9 ounces. Each sample contains 25 bags. The standard deviation is estimated to be 3 ounces. The upper control chart limit (for 99.7% confidence) for the average would be ________ ounces.
Answer:
The value is [tex]UCL = 10.8[/tex]
Step-by-step explanation:
From the question we are told that
The sample mean is [tex]\= x = 9 \ ounce[/tex]
The sample size is n = 25
The standard deviation is [tex]\sigma = 3 \ ounce[/tex]
Given that the sample size is not large enough i.e n< 30 we will make use of the student t distribution table
From the question we are told the confidence level is 99.7% , hence the level of significance is
[tex]\alpha = (100 -99.7 ) \%[/tex]
=> [tex]\alpha = 0.003[/tex]
Generally the degree of freedom is [tex]df = n- 1[/tex]
=> [tex]df = 25 - 1[/tex]
=> [tex]df = 24[/tex]
Generally from the student t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 24[/tex] is
[tex]t_{\frac{\alpha }{2} , 24 } = 3.0 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = t_{\frac{\alpha }{2} , 24} * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 3.0 * \frac{3 }{\sqrt{25} }[/tex]
=> [tex]E =1.8 [/tex]
Gnerally the upper control chart limit for 99.7% confidence is mathematically represented as
[tex]UCL = \= x + E[/tex]
=> [tex]UCL = 9 + 1.8[/tex]
=> [tex]UCL = 10.8[/tex]
Which relation below is not a function
Answer:
its c i believe <3
1) -1 = x – 5
2) -5x + 2 = 17
PLS ANSWER PLS PLS PLS
what is the solution for x in the question? -4 +5x-7 =10+3x-2x
x =4/13
x =4/21
x =21/4
x =13/4
Answer:
x= 21/4
Step-by-step explanation:
have a good day
The measures of the angels of a triangle are show. In the figure below solve for x
Answer:
54
Step-by-step explanation:
90+36= 126
180-126= 54
Multiply the following complex numbers: (-7+ ) and ( + i). Show all work and explain the steps you are taking in the work.
Answer:
Step-by-step explanation:
in complex number land there are two distict parts real.. the first number and imaginary.. the second number with the i
if your problem really only has a 7 and an i in it.. then it looks like below
7 * i = 7i
but..I suspect you just left out a bit of the problem.. repost .. i'll answer it again if the problem is different that what you posted already :)
The complex number is indeed the product of real and imaginary numbers. It's stated in proper format as a + bi, where a reflects the current part while bi represents the imaginary part, Either because portion could be 0 in theory, any actual or imagined integer can be considered a complex number, and further calculation can be defined as follows:
Given:
[tex]\to \bold{-7+}\\\\\to \bold{+i}[/tex]
To find:
Multiply complex numbers.
Solution:
[tex]\to \bold{-7+}\\\\\to \bold{+i}[/tex]
[tex]\therefore\\\\\to \bold{a+ib}[/tex]
In these questions, the value of a is missing so,
[tex]\to \bold{-7+ \times +i}\\\\\to \bold{-7 \times i}\\\\\to \bold{-7i}\\\\[/tex]
Therefore, the final answer is "-7i".
Learn more:
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If sec theta>0 and tan theta<0, the terminal side of angle theta must lie in
Answer:
the last one
Step-by-step explanation:
super easy bro tell me if its right
Joe marked up all the shoes in his store by 15%. If a pair of shoes originally cost $45, what was the price after the markup?
Answer:
The price would be $51.75.
Step-by-step explanation:
Since Joe is marking up by 15%, the price will increase for the pair of shoes. Multiply 45 by 1.15 since you are increasing the price by 15% to get your final answer which is $51.75.
Type the correct answer In each box.
What are the values of x and y that make the equations true?
Equation A
(x + yi) + (4 – 7i) = 3 - 4i
Equation B (x + yi) - (-6 + 14i) = 18 + 2i
In equation A, x =
and y =
In equation B, r =
and y =
9514 1404 393
Answer:
A: x = -1 and y = 3
B: x = 12 and y = 16
Step-by-step explanation:
In each case, you can add the opposite of the constant to find the variable.
Equation A
(x +yi) +(4 -7i) = (3 -4i)
(x +yi) +(4 -7i) -(4 -7i) = (3 -4i) -(4 -7i) . . . . . add -(4-7i) to both sides
x +yi = (3 -4) +(-4-(-7))i = -1 +3i
x = -1 and y = 3
__
Equation B
(x +yi) -(-6 +14i) = (18 +2i)
(x +yi) -(-6 +14i) +(-6 +14i) = (18 +2i) +(-6 +14i) . . . . . add (-6 +14i) to both sides
x + yi = (18 -6) +(2 +14)i = 12 +16i
x = 12 and y = 16
Answer:
In equation A: x=-1 and y=3
In equation B: x=12 and y=16
Step-by-step explanation:
Write 2 equations needed to solve this problem
Answer:
x = - 8, x = - 6
Step-by-step explanation:
Given
8 | x + 7 | - 3 = 5 ( add 3 to both sides )
8 | x + 7 | = 8 ( divide both sides by 8 )
| x + 7 | = 1
The expression inside the bars can be positive or negative, thus
x + 7 = 1 or - (x + 7) = 1 ← 2 equations to be solved
x + 7 = 1 ( subtract 7 from both sides )
x = - 6
or
-(x + 7) = 1
- x - 7 = 1 ( add 7 to both sides )
- x = 8 ( multiply both sides by - 1 )
x = - 8
Seventh grade
M.1 Add, subtract, multiply, and divide money amounts: word problems HGN
You have prizes to reveal
A high-tech company came out with two new MP3 players this week. It costs $465 for the
model with more memory or $107 for the one with less memory. What is the price
difference?
Submit
Answer:
C. NUMBER OF DOWNLOADED SONGS
Step-by-step explanation:
Among the following, the independent quantity in the function:
amount of remaining MP3 player memory as a function of downloaded songs is
The remaining memory will depend on the number of songs downloaded. So, the number of downloaded songs is considered as the independent variable while the remaining memory is the dependent variable.
Answer:
Easy, 358
Step-by-step explanation:
because 2 new mp3 players are $465 and have new storage.
While 1 new mp3 player is $107 but it has less storage.
So we subtract because it's asking us the difference between the price of the $465 and the $107.
465
- 107
--------
358
how can 52/9 be expressed as a decimal
Answer:
5.777777778
Step-by-step explanation:
:)
b) The marks obtained by 40 students in mathematics in examination are given below. Group the data into the class intervals of length 10 and construct a cumulative frequency distribution table.
42, 68, 80, 45, 92, 36, 8, 17, 49, 30
5, 26, 98, 74, 53, 65, 72, 28, 55, 46
86, 70, 62, 27, 16, 44, 85, 59, 51, 73
66, 78, 38, 81, 97, 77, 69, 45, 33, 67
Plz Help!!!
Will Give Brainliest to the First Person that answers!!!
Answer:
20
Step-by-step explanation:
ASAP!!!!
What is 4 1/2 x 2
Answer:
Answer is 9 Broski mark as brainliest
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
1 poll
Olivia is 4 feet 10 inches tall. She compared her height with her younger
sister, Susan, and found that Susan is 15 inches shorter than she is. What is
Susan's height, in inches?
Answer:
Step-by-step explanation:
4 feet = 48 inches, add 10 inches = 58 inches
if susan is 15 inches shorter, 58- 15 = 43
43/12 = 3 feet 5 inches
The question is below
9514 1404 393
Answer:
162°
Step-by-step explanation:
The measure of inscribed angle ADC is half the measure of the intercepted arc AC. That arc has a measure that is the same as the central angle it subtends, angle ABC.
So, central angle ABC is twice the measure of inscribed angle ADC:
m∠ABC = 2·81° = 162°
Someone pls help me :((
Answer:
They are both correct.
Step-by-step explanation:
4(-7)(-1) equals 28. 4(7) is also equal to 28, meaning that Josh is correct. 2 negatives equals a positive, so (-28)(-1) will also be 28. This means Evangelina is also correct.
Chanel rolls a 6-sided die {1,2,3,4,5,6), and then flips a coin {H,T}
Which outcome is in the sample space of this experiment?
A.5H
B. T3
C. 24
D.TH
Answer:
5H
Step-by-step explanation:
Given
A roll of die followed by a flip of coin.
Required
Determine possible outcome in the sample space
Taking the experiment one at a time.
A roll of die will either give any of 1 to 6 as its outcome.
A flip of coin will either give any of H or T as its outcome.
So, the possible outcomes of a roll of die followed by a flip of coin is:
{1H,2H,3H,4H,5H,6H,1T,2T,3T,4T,5T,6T}
Note that numbers came first because the question stated that the die is rolled first.
Comparing the list of given options with the sample space above.
Option (A) i.e. 5H answers the question.
The area of the rectangle is 64.8 square centimeters. What is the perimeter of the rectangle? 10cm and 8cm
The perimeter of the given rectangle is 32.2 cm.
What is a perimeter?The perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape.
Given that, The area of the rectangle is 64.8 square centimetres.
Area = l*w
l*w = 64.8
l = 64.8/w
Perimeter = 2(l+w)
= 2(64.8/w+w)
= 129.6/w +2w
We take the derivative of P and set it to 0,
dP = -129.6/w²+2
-129.6/w²+2 = 0
129.6/w² = 2
2w² = 129.6
w² = 64.8
w = 8.05
Now, we have,
l = 64.8/w
∴ l = 64.8/8.05 = 8.05
The perimeter = 2(l+w)
= 2(8.05+8.05)
= 2*16.10
= 32.2 cm
Hence, The perimeter of the given rectangle is 32.2 cm.
For more references on perimeters, click;
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Please help me!!! Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?
Include A.M. or P.M. in your answer
Answer:
1:35 pm
Step-by-step explanation:
Given that:
Willis tower = 1 hour 10 minutes
Navy piers = 3 hours 10 minutes
Shopping = 1 hour 15 minutes
(1 hour 10 min) + (3 hour 10 minutes) + 1 hour 15 minutes
Total time touring Chicago = 4 hours 35 minutes
Since dinner reservation is at 5 :10 pm
Touring should start latest:
5:10 - 4 hours 35 minutes = 1 :35 pm
Five years ago, Max was twice as old as Bert. A year from now, the sum of their ages would be 30. How old are they now? Show your solution.
Answer:
Max is 17 years old and Bert is 11 years old
Step-by-step explanation:
System of Equations
Let's call
x = current age of Max
y = current age of Bert
x - 5 = age of Max five years ago
y - 5 = age of Bert five years ago
x + 1 = age of Max one year from now
y + 1 = age of Bert one year from now
According to the conditions of the problem:
x - 5 = 2(y - 5) [1]
x + 1 + y + 1 = 30 [2]
Operating and simplifying [1]:
x - 5 = 2y - 10
x = 2y - 5 [3]
Operating and simplifying [2]:
x + y + 2 = 30
x + y = 28 [4]
Substituting [3] in [4]:
2y - 5 + y = 28
Simplifying:
3y - 5 = 28
3y = 33
y = 33/3
y = 11
From [3]:
x = 2*11 - 5
x = 22 - 5
x = 17
Max is 17 years old and Bert is 11 years old
10 more than a number w is -2.6
Answer:
10 + w = -2.6
Step-by-step explanation: