Answer:
See below ~
Step-by-step explanation:
Finding the common difference :
20 - 137Formula :
aₙ = aₙ₋₁ + 7Answer:
[tex]\large \boxed{\sf 7n + 6}[/tex]
Explanation:
Sequence: 13, 20, 27,...
Find common difference: second term - first term = 20 - 13 = 7
As it is an explicit arithmetic term:
⇒ a + (n - 1)d (a is the first term, d is common difference)
⇒ 13 + (n -1)(7)
⇒ 7n - 7 + 13
⇒ 7n + 6
The table shows the numbers of black, white, and blue cars sold by a
dealership over the past two years.
Last year
This year
Black
190
220
White
210
193
Blue
85
96
Which matrix represents the data from the table?
Gold can undergo transmutation. superscript 185 subscript 79 baseline upper a u right arrow superscript 181 subscript 77 baseline upper i r superscript 4 subscript 2 baseline upper h e this type of nuclear decay is called .
The type of Nuclear decay that is described where Gold undergoes transmutation is given as 185/79 Au → 181/77 Ir + 4/2 He, it is called Alpha Decay.
What are the characteristics of Alpha Decay?An Alpha Decay can be described as a form of radioactive or Nuclear decay where the atomic nucleus releases an alpha particle (also known as Helium Nucleus).
It then converts into a nucleus that is atomic with an atomic number of two and a mass number of four.
Alpha Decay is usually trigged for two key reasons:
An unstable nucleus; andexcessive protons.Learn more about Alpha Decay at:
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What is the area of a triangle if the height is 9 and base is 11?
Answer:
49.5
Step-by-step explanation:
you multiply the height and base then divide that awnser by 2
A side of the triangle below has been extended to form an exterior angle of 141°. Find
the value of x.
please help! find the scale factor and ratio of perimeters for a pair of similar octagons with areas 64ftsq and 81ftsq. i need the scale factor and the ratio of the perimeters!
Answer:
the scale factor and the ratio of their perimeters is 8/9
Step-by-step explanation:
k^2=area 1/area 2
k^2=64/81
=square root if k^2=square root of 64/81
=k=8/9
Calculate the length of a diagonal of a square with side each 7cm long
Answer:
[tex]7\sqrt{2} \ cm[/tex]
Step-by-step explanation:
Formula ………………………………………………
The length of a diagonal of a square with side of length “a” is :
[tex]a\sqrt{2}[/tex]
======================================================
Since a = 7 (in our case) then
[tex]\text{the length of the diagonal} =7\sqrt{2}[/tex]
Note : you can also use the Pythagorean theorem.
A catalog with 625 pages has 6 pages with tables.
What percent of the pages have tables?
0.16%
0.96%
1.28%
1.92%
Answer:
0.96%
Step-by-step explanation:
We are looking for the percent that represents "6 out of 625"
Divide to find the decimal answer:
6/625 means
6 ÷ 625
= 0.0096
Then multiply by 100 to change to a percent.
0.0096 × 100
= 0.96%
Simplify 2y + 1. + 5y +4
3y. 3y
Answer:
43y2+3 + 7y + 1
Step-by-step explanation:
3/8 of Shiva's weekly allowance is $150. He spent half of his allowance on food. a.How much money did he spend on food.
b.how much money did he remain with
Answer:
He spent 200$ on food and remained with 200$
Step-by-step explanation:
150/3 = 50
50 * 8 = 400
400/2= 200
400- 200= 200
If there are 12 crayons in each box, how many crayons are
there in 1 1/2 boxes?
4√18 using Prime Factorization
For the given number is 4√18 .The Prime factorization would be 4√18 = 2 x 2 x √2 x √3 x √3.
What is prime factorization?Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.
For an integer, factorization is the decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number.
Those composing integers are called factors of that considered integers.
Prime factorization is when all those factors are prime numbers.
Thus, prime factorization expresses an integer in terms of multiples of prime numbers.
Prime factorization is unique for each integer.
For the given number is 4√18
Prime factorization
4√18 = 2 x 2 x √2 x √3 x √3
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The equation d = 11 cosine (startfraction 8 pi over 5 endfraction t) models the horizontal distance, d, in inches of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, in seconds. according to the model, how long does it take for the pendulum to swing from its rightmost position to its leftmost position and back again? assume that right of center is a positive distance and left of center is a negative distance.
The time that is taken for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds
Calculations and Parameters:Given that this is a cosine equation,
At maximum, Cos (0) =1
At minimum, Cos (π) = -1.
Hence,
At the maximum:
8π/5 t = 0t = 0At the minimum:
8π/5 t = πt = 5/8t = 0.625Given that the time taken from max to min is 0.625 and also to min to max is also 0.625,
The total time taken would be:
0.625 + 0.625 = 1.25s
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The stemplot below displays the times, in seconds, for 25 students to run 100 meters.
A stemplot titled 100 meter times (seconds) has values 22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30.
Are there any outliers?
No, there are no outliers.
Yes, 22 is an outlier.
Yes, 30 is an outlier.
Yes, 22 and 30 are outliers.
Since there is no value that is far removed from all others thus we can say that there are no outliers in the data set.
What is an outlier?In the process of statistical observation, an outlier is any value that lies too far away from other values in the data set.
If we look at the data set as shown, there is no value that is far removed from all others thus we can say that there are no outliers in the data set.
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Work out
m
and
c
for the line:
y
=
x
+
4
Answer:
m = 1
c = 4
Step-by-step explanation:
First let's review what a slope-intercept form is.
Slope-intercept form is a specific form of linear equations. It always has y on one side and all the other terms on the other. Its structure is:
[tex]y = mx + c[/tex],
where m is the slope and c is the y-intercept.
You can easily read slope (m) and intercept (c) in your equation.
[tex]y = mx + c\\y = x + 4[/tex]
You can see that m in front of x is 1, because x = 1x. Multiplying with 1 perserves the number.
So:
[tex]m = 1\\c = 4[/tex]
Write a formula for function h in terms of function f.
Answer:
h(x) = f(x - 12) - 4
Step-by-step explanation:
y = f(x) (-6, 11)
⬇️ ⬇️
y - h(x) (6, 7)
so h(x) = f(x - 12) - 4
Hope this helps and have a nice day
what is Standard units?
Answer:
a standard unit is a fixed value this value cannot be changed.
Step-by-step explanation:
it’s a fixed value that can’t be changed.
Standard unit is a unit of measurement that is accepted by the world as a universal unit of measurement that cannot be changed
Ming made 7 batches of muffins. She used 1.75 pounds of apples per batch. How many pounds of apples did Ming use to make all the muffins? 11.5 pounds 12.25 pounds 9 pounds 4 pounds
Answer:
12.25
Step-by-step explanation:
Multiply the pounds of apples by the batches.
1.75×7=12.25
I need help please. It will really help me
Answer:
x = 15
∠AOB = 15°
∠BOC = 165°
Step-by-step explanation:
Angles on a straight line add up to 180°
[tex]\sf \implies \angle AOB + \angle BOC=180[/tex]
Substitute the given expressions for the angles:
[tex]\sf \implies (2x - 15) + 11x = 180[/tex]
Collect and combine like terms:
[tex]\sf \implies 2x +11x- 15=180[/tex]
[tex]\sf \implies 13x- 15=180[/tex]
Add 15 to both sides:
[tex]\sf \implies 13x- 15+15=180+15[/tex]
[tex]\sf \implies 13x=195[/tex]
Divide both sides by 13:
[tex]\sf \implies \dfrac{13x}{13}=\dfrac{195}{13}[/tex]
[tex]\sf \implies x=15[/tex]
Now substitute the found value of x into the expressions for each angle:
[tex]\sf \implies \angle AOB =2(15)-15=15^{\circ}[/tex]
[tex]\sf \implies \angle BOC =11(15)=165^{\circ}[/tex]
what is 24 x 24x 25 x 710.
Answer:
24 x 24 x 25 x 710 = 10,224,000
Step-by-step explanation:
24 x 24 = 576
576 x 25 = 14, 400
14,400 x 710 = 10,224,000
lo que da en total= 10,224,000
Answer:
10224000 i used a calculator
Step-by-step explanation:
demi had $170 in her bank account at the beginning of the month and $125 at the end of the month.
Each time she eats lunch in the cafeteria, $5 is deducted from her account.
How many times, x, did Demi eat lunch in the cafeteria this month? (No other deductions or deposits were made
PLS HELP ILL MARK U BRAINLIST
Answer:
x = 17 degrees y = 3 units
Step-by-step explanation:
Since angle F and E are equal, sides DE and DF are equal and you now have an equilateral triangle
each angle is 60 degrees so 4x - 8 = 60 shows x = 17
since the sides are equal : 8y-3 = 6y+3 shows y = 3
Answer:
x = 17 , y = 4
Step-by-step explanation:
since EF and DF are congruent , then
8y - 5 = 6y + 3 ( subtract 6y from both sides )
2y - 5 = 3 ( add 5 to both sides )
2y = 8 ( divide both sides by 2 )
y = 4
--------
the triangle has 3 congruent angles , then
3(4x - 8) = 180 ( divide both sides by 3 )
4x - 8 = 60 ( add 8 to both sides )
4x = 68 ( divide both sides by 4 )
x = 17
Find the nth term of the following sequence:
5, 20, 45, 80, 125
Answer:
So, 5, 20, 45, 80,...5N2
Step-by-step explanation:
Divide the sequence by 5 and the answer becomes very obvious:
EX: 1, 4, 9, 16,...N2
How do I solve x - 6 1/2 = 3 2/3
Pls explain ur answer and how I can improve I’m having math finals
Answer:
10 1/6
Step-by-step explanation:
First, you need to turn all the mixed numbers into improper fractions. You do this by multiplying the whole number by the denominator, adding the numerator, and then putting that number over the denominator.
So, 6 1/2 would become (6(2) + 1)/2 = 13/2. And 3 2/3 would become (3(3) + 2)/3 = 11/3.
Then, you can rewrite your equation using the improper fractions:
x - 13/2 = 11/3
Then, add 13/2 to both sides since it is being subtracted:
x = 13/2 + 11/3
Add the fractions by multiplying the denominators of each by the fraction of the other:
3(13/2) = 39/6
2(11/3) = 22/6
Add the fractions:
39/6 + 22/6 = 61/6
Simplify the fraction:
10 1/6
Answer:
10 1/6 or [tex]10\frac{1}{6}[/tex]
Step-by-step explanation:
The BEST, BASIC, FAST trick to find x in these situtations
If you have to find x in a question which is having Subtraction, then you add what number was being subtracted or what was subtracting the x or variable with the ending result. If you're doing addition, then you do subtraction in the same way.
Multiplication -> Division
Divisioin -> Multiplication
these 2 also in the same way!
Why do to do this?
Because when we will add that number with the final result, then we will get what is x, since x-that number = the last number. Try to understand, it's pretty hard to explain.
Now, solving the problem!
[tex]6\frac{1}{2} +3\frac{2}{3} =\\\\6\frac{3}{6} +3\frac{4}{6} =\\\\10\frac{1}{6}[/tex]
So your answer is 10 1/6 or [tex]10\frac{1}{6}[/tex]
Thanks!
I hope I could help!
:D
Anthony wants to find out the percentage of students at his school who are vegetarians. Which of the following is the most representative group of students for him to surve
A. 50 students at a icecream parlor
B. 5 students at a icecream parlor
C. 50 students at a hamburger restaurant
D. 5 students at a hamburger restaurant
Answer:
I think c
Step-by-step explanation:
i might be wrong so dont trust my answer but i would've picked C
Anyone know the value of x for these
Answer:
#3 : x = 12
#4 : x = 6
Step-by-step explanation:
Question 3:-
x^2 = 8(8+10)x^2 = 8(18)√(x^2) = √(144)x = 12Question 4:-
4(4+x)5(5+3)16+4x = 404x = 40-164x = 24x = 6please help me on this
Answer:
it is the answer on the top
I need some help answering this
Answer:
d
Step-by-step explanation:
sin angle (60) would have been equal to 0.5 or a 1/2
and cos angle(60) would have been equal to 0.86 then you'll say square by 3 over 2
Let me know if this answer can work
Best of Luck
A bag containing...
Pls help me?!? The Punta Birds Taxi Association is a business that provides taxi services to the city of Punta Birds and surrounding communities. Last year, their gross income totaled $25,000. They are required to pay 1.75% business tax on their annual gross income. How much tax are they required to pay to the Government?
Answer:
$437.50
Step-by-step explanation:
The amount of tax is found by multiplying the tax rate by the amount being taxed.
__
0.0175 × $25,000 = $437.50
They are required to pay a business tax of $437.50.
What is the value of x?
29
12
7.3
25.2
Answer:
25.2
Step-by-step explanation:
Secant-Tangent Formula:
(whole secant) x (external part) = (tangent)^2
(41+12) * 12 = x^2
( 53) * 12 = x^2
636= x^2
Taking the square root of each side
sqrt(636) = x
25.2=x
Answer:
25.2
Step-by-step explanation:
This is an intersection of a tangent and a secant.