Step-by-step explanation:
Given (2x + 23), (8x + 2) and (20x - 52) are three consecutive terms of an arithmetic sequence.
(8x + 2) - (2x + 23) = (20x - 52) - (8x + 2)
or, 6x - 21 = 12x - 54
or, 12x - 6x = - 21 + 54 = 33
or, 6x = 33
or, 2x = 11
∴ x = 11/2
∴2x + 23 = 2 × 11/2 + 23 = 34
8x + 2 = 8 × 11/2 + 2 = 46 and
20x - 52 = 20 × 11/2 - 52 = 110 - 52 = 58
34, 46 and 58 are three consecutive terms of an arithmetic sequence.
∴ Common difference(d) = 46 - 34 = 58 - 46 = 12, it is proved.
Hence, the common difference of the sequence is 12.
Use the formula ( v = u + at ) to work out the value of v : when u =6, a = 4, t =30
Answer:
V = 126
Step-by-step explanation:
Step 1) Given that u = 6, a = 4 and t = 30 the equation looks like this: V = 6 + 4(30) (V = U + AT)
Step 2) Multiply 4 by 30 to get 120 and add six to get the answer V = 126.
A dog's leash is tied to a pole while the owners go into a restaurant to get the dog
some water. If the leash is 7 feet long and the dog can walk 180 degrees in a semi-
circle, how many feet can he walk if he extends the leash as far as it can go? Round
your answer to the nearest foot, and enter the number only.
Answer:
22 feet.
Step-by-step explanation:
Arc Length= Ø / 360 degrees * 2pir
(2pir = 2 * pi * radius)
Given: r = 7 feet
Ø = 180 so the fraction of the circle we seek is 180/360 = 1/2
Arc length: 1/2*2pi*7 = 21.99 ft
22 ft when rounded!
The length of feet he can walk if he extends the leash as far as it can go will be 22 feet.
What is the length of the arc of the circle?The arc length formula for a circle is times the radius of a circle. Arc length ( Angle x radius ) is a way to express the arc length formula in radians.
Given that a dog's leash is tied to a pole while the owners go into a restaurant to get the dog some water. The leash is 7 feet long and the dog can walk 180 degrees in a semi-circle.
The length of the arc will be calculated as below:-
Arc Length= Ø / 360 degrees * 2pir
(2πr = 2x π x radius)
r = 7 feet and Ø = 180 the fraction of the circle we seek is 180/360 = 1/2
Arc length = 1/2 x 2 π x 7 = 21.99 ft
Therefore, the length of feet he can walk if he extends the leash as far as it can go will be 22 feet.
To know more about the length of the arc of the circle follow
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What is 95/18 as a decimal?
Please include an explanation and the correct answer!
I will give brainliest to the best answer!
I need it in the next 5 mins!
Thank you!
Answer:
5.27777777
repeating 7s forever
rounded to 2 decimal places is:. 5.28
Hey there!
In order for you to find the decimal form of a fraction, you have DIVIDE the NUMERATOR (the TOP number) from the DENOMINATOR (the BOTTOM number)
Here’s the formula
a/b = a ÷ b = [decimal form]
ANSWERING YOUR QUESTION
95/18
= 95 ÷ 18
= 5.277778 ≈ 5.3 or 5.28
Therefore, your answer is: 5.277778
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
-hello10olleh (hello)
Answer: The slope of the line is b. 3
Answer:b
Step-by-step explanation:
Maggie has a collection of 1,200 Pennies. Of these, 25% are dated before 1980, 35% are dated from 1980-2000.and the rest are dated after 2000
How many pennies in Maggie's collection are dated after 2000?
A 480 B 720 C 40 D 60
Answer:
A- 480
Step-by-step explanation:
First, I'm going to work out 25% of 1200 for the before 1980 pennies.
10% = 120
20% = 240
5% = 60
240 + 60 = 300 pennies before 1980.
Next, work out 35% of 1200 instead.
20% = 240
+ 10%
30% = 360
+ 5% = 60
35% = 420 pennies from 1980-2000
Finally, work out how many pennies are leftover.
300 + 420 = 720
1200 - 720 = 480
A is the answer.
Hope this helps and have a good day!
25-foot wire connects the top of a utility pole to a point on the ground located 7 feet away from the base of the pole.
If h represents the height of the pole, what is its measure?
A. 175 ft.
B. 24 ft.
C. 674 ft.
D. 1250 ft.\
dont be a b**ch and put a link
Answer:
B. 24 ft.
Step-by-step explanation:
25 would be the hypotenuse of a triangle and 7 is a leg, so
7^2 + x^2 = 25^2
49 + x^2 = 625
x^2 = 576
x = 24 ft
Answer:
The answer is B I took the test but used the person above me and it was right.
Step-by-step explanation:
(03.01)
Is the following relation a function? (1 point)
x y
1 −2
1 −3
2 1
3 −2
Yes
No
Answer:
no
Step-by-step explanation:
the x values repeat itself
The given relation is not a function.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given a table of x and y values.
We have to determine the relation is a function or not.
By the definition of functions, a relation is a function if an input value does not map to two output values.
That is, an x value will not map to two y values.
From the table,
x = 1 maps to two y values -2 and -3.
This is not possible for functions.
So this is not a function.
Hence the relation is not a function.
Learn more about Relations and Functions here :
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Write an inequality equation: Lyla has $100 in her bank account. She wants to buy presents that are $5 each. Wrapping paper will cost her $25. How many presents can she buy?
I need to know day 4 and 5 i'm stuck
Answer:
Answer is below and I solved them.
Step-by-step explanation:
Absences from school:
8*3*3*3*3 = 648
Day 4 = 648
8*3*3*3*3*3 = 1,944
Day 5 = 1,944
Absences from Band:
8*3*3+28+28 = 128
Day 4 = 128
8*3*3+28+28+28 = 156
Day 5 = 156
Hope that helps.
Please tell me.
Can someone please help !!
help pls will give brainliest
Answer:
$100-5(15) aka $25 still owed
I need help with this question
Answer:
-5,2
Step-by-step explanation:
it literally represents LM and Shows it on the graph
the sum of all but one interior angle of a heptagon is 776°. what is the measure of the final interior angle?
Answer:
The final interior angle = 124°
Step-by-step explanation:
A heptagon has 7 sides. The sum of the interior angles formula:
The sum of the interior angles = (n - 2)180 where n = number of sides.
The sum of the interior angles= (7 - 2)180° = 900°
Six interior angles = 776°.
The final interior angle + six interior angle = 900°
The final interior angle + 776° = 900°
The final interior angle = 900° - 776°
The final interior angle = 124°
Answer:
124
Step-by-step explanation:
Right on Edge 2022
Find the common factor in the given algebraic expressions: x(a-b), y (b-a)
Explain please.
Answer:
the common factor in the given algebraic expressions: x(a-b), y (b-a)
Step-by-step explanation:
(x-y)(a-b)Please help i cant figure it out will mark branliest
Answer:
b
Step-by-step explanation:
hope it helped u take a look at the picture u attached
Scientists say we should sleep 3/8 of a day.How about many hours is this
Answer:
9 hours
Step-by-step explanation:
Answer:
[tex]\huge\color{skyblue}\boxed{\colorbox{black}{Answer ☘}}[/tex]
number of hours in a day = 24
according to scientists ,
we should sleep number of hours = 3/8
therefore ,
[tex] \frac{3}{8} \: of \: 24 \: hours = \frac{3}{8} \times 24 \\ = > 9 \: hours[/tex]
hope helpful~
LOOK AT THE IMAGE!!!!!
Answer:
a. 3/10
b. 1/10
c. 4/10 or 2/5
Step-by-step explanation:
There is 4 brown, 3 green, 2 red, and 1 purple if you add those all up you get 10. Since there is a total of 10 marbles in the bag and 3 of those are green 3/10 of the marbles are green. Same goes with purple, 1 of the 10 marbles in the bag is purple.
To solve for green and purple you must add them. Since there is 3 green and 1 purple that gives you 4. 4 out of 10 marbles are green or purple. 4/10 can also be simplified to 2/5
*FIRST PERSON TO GET IT RIGHT AND ANSWER FIRST GETS BRAINLIEST*
In an aquarium, there are starfish and octopi in a tank. The total number of animals in the tank is 30. The total number of legs in the tank is 171. Assuming that all animals have all their legs, find the number of each type of animal in the tank. (Starfish have 5 legs and Octopus have 8 legs)
(solve using substitution method. MUST SHOW WORK)
There are 23 sharks and 7 octopi in the aquarium
Let the number of sharks in the aquarium be xLet the number of octopi in the tank be y
If the total number of animals in the tank is 30, therefore;
x + y = 30 ....................... 1If the total number of legs in the tank is 171 with starfish having 5 legs and Octopus having 8 legs, the required expression will be:
5x + 8y = 171 ................ 2From equation 1, x = 30 - y ................... 3
Substitute equation 3 into 2 to have:
5(30-y) + 8y = 171
150 - 5y + 8y = 171
3y = 171 - 150
3y = 21
y = 7
Recall that x = 30 - y
x = 30 - 7
x = 23
Hence there are 23 sharks and 7 octopi in the aquarium
Learn more on simultaneous equation here: https://brainly.com/question/148035
Find the inverse function. f(x) = x - 5
Answer:
f^-1 (x) = x^2 + 5
Step-by-step explanation:
f(x) = √x - 5
replace x with y
x= √y - 5
solve for y,
x =√y-5
x^2 + 5
Answer -
f^-1(x) = x^2 + 5
HOPES THIS HELPS :)
5/7(x-9)=25
what does x equal?
Answer:
[tex]x=44[/tex]
Step-by-step explanation:
[tex]\frac{5}{7}(x-9)=25[/tex]
[tex]5(x-9)=175[/tex]
[tex]x-9=35[/tex]
[tex]x=44[/tex]
does 12 11 and 7 make a right triangle
Answer: no
Step-by-step explanation: hope it helps
Please help me with this
Write an explicit formula for a_na n , the n^{\text{th}}n th term of the sequence 72, 12, 2,
Answer:
divide by 6
Step-by-step explanation:
please help
thank you!
if it takes 10 people working at the same rate 5 hours to pick 300 apples, how many hours would it take 1 person to pick 300 apples
Answer:
50 hours
Step-by-step explanation:
10 times 5 is 50 so the answer is 50 hours
the sum of a number and 6 is greater than 76 write an inequality
Answer:
x+6>76
Step-by-step explanation:
sum is adding
greater than is >
An artificial soccer pitch is 91 meters long and 43 meters wide. If the cost of the pitch is AED 20 per square meter. What is the cost of installing the pitch????
The Cost of installing the artificial soccer pitch is $5360
A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal.
The soccer pitch us rectangle in shape. Hence:
Perimeter of soccer pitch = 2(length + width) = 2(91 + 43) = 268 meters
Cost of installing the pitch = $20 per meter * 268 meters = $5360
The Cost of installing the artificial soccer pitch is $5360
Find out more on perimeter at: https://brainly.com/question/16596982
Alan had x dollars in his bank account. He deposited $255.73, and now his balance is $1,896. What was his previous balance?
can someone help me pls
Answer:
i think you add them not sure...
Step-by-step explanation:
40+44+44+??
ok?
Answer:
x=88°
x-44°=88°-44°=44°
Step-by-step explanation:
angle A+ angle B+angle C=180°
48°+x-44°+x°=180°
=48°-44°+x°+x°=180°
=4°+2x°=180°
=4°-4°+2x°=180°-4°
=2x°=176°
=2x°/2=176°/2
=x°=88°
x°-44°=88°-44°
=x°-44°=44°
Simplify this question
[tex] \frac{8 - \sqrt{ - 36} }{2} \\ = \frac{8 - \sqrt{ 2 \times \: 2 \times 3 \times - 3} }{2} \\ = \frac{8 -2 \sqrt{ - 9} }{2} \\ = \frac{2(4 - \sqrt{ - 9} )}{2} \\ = 4 - \sqrt{ - 9} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
Unfortunately, the problem could not be solved because there is a minus in √36. This basically means that this problem has no answer. Remember, if there is a minus in a root system, that basically means that the answer is Un-defined.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]