Answer:
a₇₅ = - 430
Step-by-step explanation:
There is a common difference between consecutive terms, that is
d = 81 - 88 = 74 - 81 = 67 - 74 = 60 - 67 = - 7
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 88 and d = - 7 , then
a₇₅ = 88 + ( 74 × - 7) = 88 - 518 = - 430
The 75th term of the arithmetic progression is -430
What is Arithmetic Progression?
An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is
Tn = a + (n - 1) d, where Tₙ = nth term and a = first term.
Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP : Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the Arithmetic progression be = 88 , 81 , 74 , 67 , 60 ...
The first term of the AP is a ₁= 88
Now , the common difference of the AP d = second term - first term
= 81 - 88
= -7
Now , the nth term of the arithmetic progression is given by ,
Tn = a + (n - 1) d
Substituting the values in the equation , we get
T₇₅ = 88 + ( 75 - 1 ) ( -7 )
= 88 + 74 ( -7 )
= 88 - 518
= -430
Therefore , the value of T₇₅ is -430
Hence , The 75th term of the arithmetic progression is -430
To learn more about arithmetic progression click :
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find the angle sum of polygon which had 9 sides
Answer:
1260°
Step-by-step explanation:
Number of sides was given as 9, hence ( n= 9)
Sum of interior angle of a polygon can be determined using the expression below
[(2n-4)90°]
Substitute n=9
[((2×9) -4)) ×90]
= [(18-4)×90]
(14×90)=1260°
Hence, angle sum of polygon which had 9 sides is 1260°
Solve using the standard algorithm. 82.14 ÷ 0.6 ≅
Answer:60
Step-by-step explanation:
What is the M? Will mark brainlist if correct
PLEASE ANSWER FAST I NEED THIS! Fire in inches of 10 senior boys are 64, 65, 66, 68, 71, 72, 73, 73, 73, and 74. find the mean of the heights.
Answer:
632.4
Step-by-step explanation:
You have to add all the numbers then dived it by ten. Hope this helps all mark me brainlest plzzzz
Simply the following expression: 12x + 5x - 8x
can someone solve this by factoring? i need to show work but don't really understand what we're doing..
the problem is:
Answer:
The answer is x = -7 and x = -8
Step-by-step explanation:
HELPPP ASAP 10 POINTS
Answer:
43 degrees
Step-by-step explanation:
The two angles are supplementry because they form a 90 degree angle so you would subtract 47 from 90 to get 43 degrees.
Answer: 43
Step-by-step explanation: 47+ 43 = 90. since x is a vertical angle it is 43.
Find the value of x
5(x−7)=25
Answer:
x=12
Step-by-step explanation:
5(x−7)=25
Divide both sides by 5.
x−7=25/5
Divide 25 by 5 to get 5.
x−7=5
Add 7 to both sides.
x=5+7
Add 5 and 7 to get 12.
x=12
Answer:
x = 12
Step-by-step explanation:
5(x-7) = 25 (distribute)
5x-35 =25 (add 35 on both sides)
5x = 60 (divide)
x = 12
Graham wants to determine which football team is the most popular at a game between the home team and the visiting team. Which of the following methods will give him the most accurate results?
help me pls!! giving brainliest and 5 stars
Answer:
A reflection over the line y = x followed by a translation up 3 units
Step-by-step explanation:
Since this is a multiple choice question, let's test each answer out.
First scenario:
"A reflection over the y-axis followed by a translation right 3 units and down 4 units"
Reflect segment XY over the y-axis, we get segment XY between x = 2 and x = 6, on y = 5 line.Translate right 3 units, we get segment XY on y = 5 line, between x = 5 and x = 9.Translate down 4 units, we get segment XY on y = 1 line, between x = 5 and x = 9.Resulting segment does not match segment X'Y', this answer is incorrect
Second scenario:
"A reflection over the line y = x followed by a translation up 3 units"
Reflect segment XY over y = x line, we get segment XY, between y = -2 and y = -6, on x = 5 line.Translate up 3 units, we get segment XY on x = 5 line, between y = 1 and y = -3.Resulting segment matches segment X'Y', this is the correct answer.
A line with a slope of 5 passes through the point (0,0). What is its equation in slope-intercept form?
Answer:
y=5x or y=5x+0
Step-by-step explanation:
there is a slope of 5 and it has no setoff
Evaluate the function.
f(x)= -x^2
find f(3)
Answer:
f(3) = - 9
Step-by-step explanation:
To evaluate f(3) , substitute x = 3 into f(x) , that is
f(3) = - (3)² = - 9
The angle of depression from a bird sitting on the top of a telephone pole to the base of a tree is 61°. If the telephone pole is 17 feet tall, what is the distance between the pole and the tree?
Hello, I Am BrotherEye
Answer:
Perhaps This Will Help!
https://brainly.in/question/3424477
Step-by-step explanation:
for what value of x does the function have an output of 9, given that f(x)=2x+5
x= 2
2(2) + 5 = 9
Hope this helps!
please help!
A restaurant needs a block of ice that is exactly 480 cubic inches in volume.
The height of the ice block must be 10 inches.
Answer:
Step-by-step explanation:
Part A,
99% sure this is D
Part B
It's probably about 4 feet tall.
Part C,
4 in. x 12 in.
2 in. x 24 in.
8 in. x 6 in.
3 in. x 16 in.
Answer:
part A: all the above
partt B: 48
part C: 4 in. x 12 in.
2 in. x 24 in.
8 in. x 6 in.
3 in. x 16 in.
Step-by-step explanation:
Layna can paint a 350-square foot room in 4 hours. It takes Bebe 7 hours to paint the same room. Which equation can be used to find the time in hours, t, it takes Layna and Bebe to paint the room together?
Answer:
A. 1/4t+1/7t=1
Step-by-step explanation:
Willy's Candy store and Bill's Candy store attended same number of customers in an hour.
Willy's Candy store can attend 3 customers at once where as Bill's Candy store can attend 5 customers at once. So, what is the minimum number of customers attended by each store in an hour?
Answer:
15 customers attended by each store
Which data are represented by this dot plot a 2 4 0 2 4 6 3 0 7 1 2 7 8 1 1 b 0 1 2 3 4 5 6 7 8 0 1 2
Answer:
Mean (Average) 4.0384615384615
Median 2.5
Range 24
Mode 1, appeared 5 times
Geometric Mean 0
Largest 24
Smallest 0
Sum 105
Count 26
Step-by-step explanation:
also you put 'b' in the list so i removed that
What's 1.485 times 27.7372862 I know this is easy but I lost my calculator and my assignment is due in 1 minute! If anyone can answer this fast that would really help! :)
Answer:
41.18987
Step-by-step explanation:
a radioactive materal has a half- life of 60 months. How much of a 1000g sample would remain after 42 months?
Answer:
100
Step-by-step explanation:
100
What is the answer for, A metal bar 8.15 ounces 93% of the bar is sliver. How many ounces of silver are in the bar? ( round to the nearest thousandth)?
Answer:
7.580 ounces
Step-by-step explanation:
The question is asking how many ounces of silver are in the bar. We know that 93% of the bar is silver. The bar is 8.15 ounces. This means we need to find 93% of 8.15. Let's set up an equation.
93% of 8.15
93/100 • 8.15
0.93 • 8.15
= 7.5795
Round to the nearest thousandth.
7.580 ounces
Hope this helps!
If the loss incurred on selling an article is 7/20 of the cost price, then find the loss percentage.
Answer: The loss percentage = 65%
Step-by-step explanation:
Let x be the cost price.
As per given,
Selling price = [tex]\dfrac{7}{20}x[/tex]
Loss =Cost price - Selling price
[tex]=x-\dfrac{7}{20}x\\\\=\dfrac{20-7}{20}x\\\\=\dfrac{13}{20}x[/tex]
The loss percent = [tex]\dfrac{loss}{Cost\ price}\times100[/tex]
[tex]=\dfrac{\dfrac{13}{20}x}{x}\times100\\\\=\dfrac{13}{20}\times100\\\\=13\times5\%\\\\=65\%[/tex]
Hence, the loss percentage = 65%
Is it, a solution or, NOT a solution?
Answer:
Perosnally i think it is not a solution but let me check that for you!
Step-by-step explanation:
Answer:Answer x=15 and the answer for x=6 will be false!
Step-by-step explanation:X=6 is not a solution but the correct answer is 15 .First we know that 5+5=10,then if we add 10+5 that will give us 15.
convert pounds to ounces complete the following table Its due tomorrow
Answer:
64, 80, 96, and 112.
Step-by-step explanation:
Well, one pound equals 16 onces so you can multiply the number of pounds by 16 to get the answer. I hope this helps! Have a great rest of your day!
Claudia was cooking breakfast for her entire family. She made double the amount of chocolate chip pancakes as she did with the regular pancakes. She only made half as many blueberry pancakes as the regular pancakes. Claudia also knows her family loves sausages, so she made triple the amount of sausage as blueberry pancakes.
How many of each breakfast item did Claudia make if she cooked 100 times in total?
Answer:
easy the answer is 0.0.0
Step-by-step explanation:
1x0=0.0.0
FREE! PLEASE ANSWER THE QUESTION TO WIN BRAINLIEST! (NO LINKS)
(Posting till I am out)
Question: Where should a line be drawn to make the below equation accurate?
Equation: 5 + 5 + 5 + 5 = 555
This one made me say "OHHHH-"
Answer:
In a plus sign
Step-by-step explanation:
Step-by-step explanation:
the line should be thought the (=) sign (≠)- like this
that means that it does not equal each other because I mean if you solve it, it made it 20=555 and 20 does not equal 555
What is 9 006 in word
Answer: 9006 in word form is nine thousand six ,
I hope you find this helpful.
Answer: 9,006 in word-form is nine thousand six.
Explanation: To write a number in word form, simply type the number in word form like I did above. If a digit doesn't have a zero, don't type zero, just type the number like I did above. Notice how I didn't include the word "zero" in my answer.
Let me know of any questions or concerns.
A circle has a radius of 8. Find the area of a sector of this circle that is intercepted by central angle measuring pi over 7
Answer:
14.4 square units
Step-by-step explanation:
Keep in mind that the area here is a fraction of the area of a full circle of radius 8.
(area of sector) = (fraction)(pi)(8)^2
The fraction is the given central angle (pi over 7) divided by 2pi:
pi 1
--------- * ----------- = 1/14
7 2pi
Multiply the formula (fraction)(pi)(8)^2 found above by this fraction:
area of sector = (1/14)(pi)(8)^2 = 14.4 square units
what is 8/16 as a whole number
Answer:
2 is the simplified fraction for 8/16. Simplify 8/16 to the simplest form.
Step-by-step explanation:
What is 8/16 Simplified? - 1/2 is the simplified fraction for 8/16. Simplify 8/16 to the simplest form. Online simplify fractions calculator to reduce 8/16 to the lowest terms quickly and easily.
Answer:
0.5 or 1/2
Step-by-step explanation:
nothing can futher be simplified
What’s a possible answer for this question?
Answer:
x-4
Step-by-step explanation:
you get the value of h(x) by dividing f(x)/g(x), so you only put they values for divide.