Answer: First term.
Step-by-step explanation:
An ordered list with a pattern is known as a sequence.It is denoted by [tex]<f(n)>[/tex] or [tex]<a_n>[/tex], where n is any natural number.i.e. Domain for this function is natural number.
Natural number starts with 1.
so, at n=1 f(1) represents the first term in a sequence.
Hence, f(1) represents "first term" in a sequence
Sanya currently earns $25.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 15% raise. How much will she earn each hour after the raise?
Answer:
28.75
Step-by-step explanation:
We can do 15% of 25 which is 3.75. Add this on to 25, and get 28.75.
The amount she is earning each hour after the raise is $28.75 if Sanya currently earns $25.00 an hour at her job.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Sanya currently earns $25.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 15% raise.
The raise = 15 % of 25 = 3.75
Total after raise = 25.00 + 3.75 = $28.7
Thus, the amount she is earning each hour after the raise is $28.75 if Sanya currently earns $25.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 15% raise.
Learn more about the percentage here:
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Find the sum of integers from 33 to 47:
Answer:
Step-by-step explanation:There are formulas to work this out, but you can also suss out an answer by a liberal application of critical thinking.
Okay, you want to add 51 + 52 + 53 + … + 99 + 100, right? (The … represents all the numbers in between, in case you were wondering.)
Well, that’s a total of 50 numbers. And if you know anything about addition, you know that it doesn’t matter what order you add them.
So you could also say 51 + 100 + 52 + 99 + 53 + 98 + … and so on.
Let’s see what happens. 51 + 100 = 151. So far so good.
Then, 52 + 99 also equals 151. And 53 + 98 also equals 151. Since there are 50 numbers, that’s 25 pairs that are going to add up to 151.
151 + 151 + 151 + 151 + … (21 more instances of 151).
So we can simplify our workload a bit. Instead of adding up all the numbers by hand, we can just multiply 151 by 25.
151 x 25 = 3775
From that, we can work out a generic formula that will allow you to add any sequence of numbers…without actually adding.
Let a be the first number in the sequence, and let n be the last number in the sequence. The number of numbers is (n - a) + 1. (You have to add 1, because if you just subtract, it’s like you’re losing the lowest number in the sequence).
So…you get the sum by adding the first and last number in the sequence, and then multiplying that result by half of the total number of numbers.
(a+n)((n−a)+12)
an−a2+a+n2−an+n2
−a2+a+n2+n2
−a(a−1)+n(n+1)2
Let’s check to see if it works!
−51(51–1)+100(100+1)2
−51(50)+100(101)2
−2550+10,1002
75502
3775
Note that if the starting number were 1, the formula would simplify to n(n+1)2
Following are the calculation to the sum of integers:
Given:
33 to 47
To find:
Sum of integers=?
Solution:
Given numbers:
33 to 47
[tex]\to \bold{33,34,35,36,37,38,39,40,41,42,43,44,45,46,47}[/tex]
Using formula:
[tex]\bold{S = \frac{n(a + l)}{2}}[/tex]
[tex]n=15\\\\a=33\\\\l=47 \\\\ \bold{S = \frac{15(33 + 47)}{2}}\\\\[/tex]
[tex]\bold{= \frac{15(80)}{2}}\\\\\bold{= \frac{1200}{2}}\\\\\bold{= 600}[/tex]
Therefore, the sum of the integers "600".
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Jose desea cubrir los gastos del tratamiento del Cov.19 de un familiar,para ello solicita un préstamo de una entidad bancaria un moto que asciende de s/.5000 cantidad a pagar con un interés de 1.5% trimestral,ha previsto pagar con los intereses incluido en un plazo de dos años ¿Cuanto pagara jose por interés del dinero prestado? ¿Cuando sera el monto total que pagara Jose?
Answer:
Step-bynznsbsjsjsbsisksbbd-step explanation:bdndnsoansjj hi rodn
Answer:
gkssjsjsjssisndrishddhdsusucjdjejuzuxuddid
a football stadium, 55% of the crowd is cheering for Team A, and 48 % of the crowd is female . 19% of the crowd is cheering for Team A and female . What is the probability that a randomly selected Person from the crowd are cheering for Team A or female?
Answer:
67%
Step-by-step explanation:
I added 48%+19%
TIME REMAINING
59:55
Which inequality has –12 in its solution set?
A
B
C
D
x + 6 less-than negative 8
x + 4 greater-than-or-equal-to negative 6
x minus 3 greater-than negative 10
x + 5 less-than-or-equal-to negative 4
A
B
C
D
Answer:
what is a b c or d what are the answers for multi chose
Step-by-step explanation:
the diameter of one species of bacteria is shown. bonnie approximates this measure as 3 x 10^-11 meter. is she correct? explain.
Answer:
No
Step-by-step explanation:
No picture of the bacteria provided, but according to some text books its arround 0.2 - 2m in micrometer measurement, so 3 x 10^-11 is far more smaller than the range.
PLZ help meeeee.... srry if it's not clear
Identify the type of function represented by f(x) = 3(1:5)*.
A. Quadratic
B. Linear
C. Exponential decay
D. Exponential growth
Answer: Exponential growth
Step-by-step explanation:
((h – k)(3)
Please answer quickly!!!!
Answer:
[tex](h – k)(3) = h3 - k3[/tex]
please answer fast!!!
Which of the following sets represents the range of the function shown?
{(-3, 4), (5, 11), (9, -1), (10, 13)}
{-3, 5, 9, 10)
{-1, 4, 11, 13}
{(4, -3), (11, 5), (-1,9), (13, 10)}
{-3,-1, 4, 5, 9, 10, 11, 13}
Answer:
{-3,-1, 4, 5, 9, 10, 11, 13}
Step-by-step explanation:
A plumber visits your home to fix a leak. He charges a flat rate of $35 and $12 per hour. If the total bill was $83, how many hours did he work?
Solve
7 1/2 ÷ (4 1/2 - 5 1/8)
Answer:
-12
Step-by-step explanation:
Answer:
[tex] \frac{71}{2} \div ( \frac{41}{2} - \frac{51}{8} )[/tex]
[tex] \frac{71}{2} \div ( \frac{164 - 51}{8} )[/tex]
[tex] \frac{71}{2} \div \frac{113}{8} [/tex]
[tex] \frac{71}{2} \times \frac{8}{113} [/tex]
[tex] \frac{284}{113} [/tex]
Find the value of 2 so that the function has the given value. g(x) = {1/2x– 3; g(x)=-4
Answer:
Step-by-step explanation:
its 4
lin makes sparkling orange juice by mixing 3 liters of orange juice with 4 liters of soda water. Noah makes sparkling orange juice by mixing 4 liters of orange juice with 5 liters of soda water. How do the two mixtures compare in taste explain your reasoning
Answer:
Step-by-step explanation:
Lin makes sparkling OJ using the ratio
3:4. Meaning 3L orange juice for every 4L sparkling water.
Noah makes sparkling OJ using the ratio 4:5. Meaning 4L orange juice for 5L sparkling water.
If we said that they both used 12L of orange juice,
Lin would have to use 16L of sparkling water
Noah would have to use 15L of sparkling water
So for the same 12L of orange juice, Lin uses more sparkling water.
Therefore her sparkling OJ would be more diluted (less orange flavour since you added more water) and more bubbly than Noah's.
i need help w this math q, ill mark branliest
Answer:
I would say 17.6 miles
Step-by-step explanation:
30 miles in 2 hours but we wanna know how many miles in 1.7 hours, I simply divided 30 by 1.7 and got 17.6 miles.
If I buy a donkey and build him a house will he be happy donkey or sad donkey?
Answer:
happy
Step-by-step explanation:
Answer:
well it depends on if you feed him donuts or not. Like he might be happy BUT happy FAT donkeys are super cute!!=)
Step-by-step explanation:
Is 1.75 x 10^6 written in scientific notation?
Answer:
yes it is
<3
Red
Answer:
yep it is ❤
Step-by-step explanation:
:)
hope this helps
♡
What is the solution to the system of equations?
{x=2y+3
{4x-5y=9
Answer:
(1,-1)
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :).
25 POINTS!!
Consider a square and a regular hexagon (a six sided figure with sides of equal length). One side of the square is 8 feet longer than a side of the hexagon, and the two figures have the same perimeter. What are the lengths of the sides of each figure?
Answer:
The hexagon has sides of 8 feet and the square 's sides are 16 feet long..
Step-by-step explanation:
If the side of the hexagon is x feet then the side of the square = x+8 feet.
So as the perimeters are equal:
8x = 4(x + 8)
8x = 4x + 32
8x - 4x = 32
4x = 32
x = 8 = side of hexagon so the square side = 16 feet.
Answer:
6
Step-by-step explanation:
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The six lowest temperatures for a certain date were listed
in an almanac as -32, -14, -28, -19, -38, and -21. Which of
these temperatures is the COLDEST?
Answer: -38 is the coldest because it is the lowest.
A sandwich is 2 12 feet long. You decide to cut the sandwich into pieces that are 1 14 feet long. How many pieces will you cut?
Answer:
Im assuming you meant 2 1/2 and 1 1/4, so the answer would be 2 pieces
Step-by-step explanation:
2 1/2-1 1/4=1 1/4, so 2
Using the division operation, the number of pieces of sandwich that can be cut is 2
Given the Parameters :
Length of sandwich = 2.5 feets Length per piece cut = 1.25 feetsThe number of pieces that can be cut out of the sandwich can be calculated thus :
Length of sandwich ÷ Length per piece cutNumber of pieces = (2.5 ÷ 1.25) = 2
Therefore, there are 2 pieces of sandwich that can be cut.
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Taylor bought a necklace for each of her three sisters. She paid $7.50 for each necklace. Supposed she had $9 left. How much money did she have initially to spend on each sister?
Answer:31.50$
Step-by-step explanation:
In the diagram, m || n. Find the value of x. Explain how you obtained your answer.
Answer:
x = 67°
Step-by-step explanation:
It's given that m║n.
Construction done: A line 't' parallel to the given lines 'm' and 'n'.
Since, m║t and a transversal line is intersecting these lines.
m∠a = 35° [Alternate interior angles]
m∠c = 180° - 148° [∠c and angle measuring 148° are the linear pair of angles]
= 32°
n║t and a transversal line is intersecting these lines.
Since, ∠b ≅ ∠c [Alternate interior angles]
m∠a + m∠b = m∠x [Angle addition postulate]
x = 32° + 35°
x = 67°
Therefore, measure of angle x is 67°.
A store sells jump ropes. Each jump rope costs the same ammout. During a sale the store reduces the price of each jump rope by $1.80. gavin spends $14.38 on 2 jump ropes what was the price of the 1 jump rope before the sale
Answer:
pp
Step-by-step explanation:
Answer:
Before the sale each jump rope costed $8.99
Step-by-step explanation:
If you divide $14.38 by two you get $7.19. Then if you add the $1.80 you get $8.99
Can someone help me state whether the graph represents a function or not??!
Answer:looks like a functioning
Step-by-step explanation:
If it passes the vertical line test
It can only cross a vertical line once
−x+y=−5
What is the value of the x-intercept?
What is the value of the y-intercept?
Remember when finding the x-intercept you cover up the y (put 0 in for y) and solve for the x value.
Answer:
see below
Step-by-step explanation:
−x+y=−5
To find the x intercept, let y=0 and solve for x
-x +0 = -5
-x = -5
x=5
The x intercept is 5
To find the y intercept, let x=0 and solve for y
0 +y = -5
y = -5
The y intercept is -5
Terry is feeling crafty and wants to put a ribbon border on her boring clock to jazz it up a bit. If the clock has a radius of 15inches, how many inches of ribbon will Terry need to use to surround the clock? Round your answer to the nearest hundredth
x/6 = 3/8
(7th grade math, i need an answer fast!!!
Answer:
9/4
Step-by-step explanation:
x/6 = 3/8
or, 8x = 3*6
or, x = 18/8
or, x = 9/4
what is the mid
point for a segment with endpoints (3,5) and (7,-1) ?
HELP PLSS
Answer:
Step-by-step explanation:an ordnairy ezbutin is an 10.4
A frying pan has a diameter
of 14 cm. We are making a
pancake and want to know
the biggest pancake we can
make.
Answer:
this is the exact same question I need too
Well if the frying pan has a diameter of 14cm you would need to multiply 14 by 4 or the number of edges your pan/ platter has. Then you know the diamter of the pancake you would be able to make.
Hope I helped! Please let me know in the comments below if this helped you to find your pancake diamete! I personally love pancakes and I am also a huge fan of math and estimating!
If I helped please rate, thanks, and mark me brainliest.
Yours,
Fellow brainiac