Answers
Answer:
[tex]a_{n}[/tex] = 20n + 12
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 52 - 32 = 72 - 52 = 92 - 72 = 20
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 32 and d = 20, thus
[tex]a_{n}[/tex] = 32 + 20(n - 1) = 32 + 20n - 20 = 20n + 12
Related Questions
Which number gives you an irrational product when you multiply it by 0.2?
Answers
Answer:
C
Step-by-step explanation:
[tex]\sqrt{5}[/tex] gives an irrational product when multuply it by [tex]0.2[/tex].
What is irrational number?" Irrational number is defined as the set of numbers which can not be represented in [tex]\frac{x}{y} , y\neq 0[/tex] form."
According to the question,
Given multiplier [tex]= 0.2[/tex]
A. [tex]0.7[/tex]
The product of [tex]0.7 \times 0.2 = 0.14[/tex] which is not a irrational number but a decimal number.
Option A is not the correct answer.
B. [tex]5[/tex]
The product of [tex]5 \times 0.2 = 1[/tex] which is not a irrational number but a whole number.
Option B is not the correct answer.
C. [tex]\sqrt{5}[/tex]
The product of
[tex]\sqrt{5} \times 0.2 \\\\= \frac{2}{10}\times \sqrt{5} \\\\= \frac{1}{5} \times \sqrt{5}\\\\=\frac{1}{\sqrt{5} }[/tex]
which is a irrational number .
Option C is the correct answer.
D. [tex]\frac{3}{4}[/tex]
The product of
[tex]\frac{3}{4} \times 0.2\\\\= \frac{3}{4} \times\frac{2}{10}\\ \\=\frac{3}{20}[/tex]
which is not a irrational number but a fraction.
Hence, Option C is the correct answer.
Learn more about irrational number here
brainly.com/question/17450097
#SPJ2
How much would $120 invested at 6% interest compounded monthly be
worth after 21 years? Round your answer to the nearest cent.
Answers
Using the Quadratic Formula, which of the following is the solution to the quadratic equation x2 + 2x - 3 = 0?
Answers
Answer: x=1 or x=-3
Step-by-step explanation:
Quadratic formula is [tex]-b+-\sqrt{b^{2}-4ac } /2[/tex]
a=1 b=2 c=-3
Substitute
[tex](-2+-\sqrt{2^{2}-4(1)(-3) }) /2\\(-2+-\sqrt{4+12}) /12\\(-2+-\sqrt{16}) /2\\(-2+-4) /2\\x=\frac{-2+4}{2} \\x=\frac{-2-4}{2} \\\\\\Simplify\\x=\frac{2}{2} \\\\x=\frac{-6}{2} \\\\Simplify\\x=1\\x=-3[/tex]
Mr. Tram was planning his trip from Dallas, TX to Detroit, MI. He knows that the total distance he needs to cover is 1620 km. He usually drives at a speed of 60 km per hour. If he is willing to drive up to 8 hours per day, how many days and how many hours will this trip take?
Answers
Answer:
3 days and 3 hours
Step-by-step explanation:
lets find how many total hours he will need to spend to get to Detroit
1620/60=27
Lets find how many days will it take Mr. Tram to get to Detroit if he is willing to drive only for 8 hours each day.
27/8=3 3/8
3 days and 3 hours
Answer:
3 days and 3 hours
1620/60=27 amount of hours it will take to get to Detroit
27/8=3 3/8 if he wants to drive for only 8 hrs each day
3 days and 3 hours is the final answers
:-)
BEST ANSWER GETS BRAINLIEST! What expression represents the area of the triangle? A triangle has a base of 24 and a height of 10. Another side has a length of 26.
One-half times 10 times 24
One-half times 10 times 26
One-half times 24 times 26
One-half times 10 times 24 times 26
Answers
Answer:
One-half times 10 times 24
Step-by-step explanation:
[tex]area \: of \: triangle = \frac{1}{2} \times height \times base \\ \\ area \: of \: triangle = \frac{1}{2} \times 10 \times 24[/tex]
Answer:
One-half times 10 times 24
Step-by-step explanation:
A= 1/2bh
A= 1/2*24*10=120
One-half times 10 times 24
What are the solutions of the equation (x – 3)2 + 2(x – 3) – 8 = 0? Use u substitution to solve.
Answers
Answer:
u=5
Step-by-step explanation:
(u-3)2+2(u-3)-8=0
2u-6+2u-6-8=0
4u-20=0
4u=20
u=5
Answer:
b on edge2020
Step-by-step explanation:
The number of light bulbs sold each day in two different hardware stores is represented in the box-and-whisker plots below.
Which store's median number of light bulbs sold is greater?
A.
Store A
B.
Store B
C.
both the same
D.
cannot tell from given plots
Answers
Answer:
A. Store A
Step-by-step explanation:
The median is shown by the very middle line of the box. The middle-most line on the box of store A is greater than that of Store B
Which of the following describes the function x^4-3?
Answers
Answer:
what are the following?
Step-by-step explanation:
Classify the following triangle. Check all that apply.
Answers
2.Scalene because no sides are in equal length
A formula for finding SA, the surface area of a rectangular prism, is
SA = 2(ab + ac + bc), where a, b, and c represent the lengths of the edges of the prism. What is the surface area of this prism if a = 12 inches, b = 6 inches, and c = 4 inches?
A. 240 in. 2
B. 248 in. 2
C. 288 in. 2
D. 258 in.2
Answers
Answer:
Option C.
Step-by-step explanation:
It is given that the surface area of a rectangular prism, is
[tex]SA=2(ab+ac+bc)[/tex]
where a, b, and c represent the lengths of the edges of the prism.
We need to find the surface area of this prism if a = 12 inches, b = 6 inches, and c = 4 inches.
Substitute a=12, b=6 and c=4 in the above formula.
[tex]SA=2((12)(6)+(12)(4)+(6)(4))[/tex]
[tex]SA=2(72+48+24)[/tex]
[tex]SA=2(144)[/tex]
[tex]SA=288[/tex]
The surface area of this prism is 288 sq.inches.
Therefore, the correct option is C.
Answer:
The answer is C
Step-by-step explanation:
I need help with this question.
Answers
Answer:
Numerator 2b^2 + 2a^2
Denominator (b-a)(b+a)^2
2b / (b+a)^2 + 2a / (b-a)(b+a)
2b (b-a) + 2a (b + a) / (b-a) * (b+a)^2
2b^2 - 2ab + 2ab + 2a^2 / (b-a)(b+a)^2
2b^2 + 2a^2 / (b-a) * (b+a)^2
Find the distance around a circle with a diameter of 15.6 meters
pls hurry up I'm timed:)
Answers
48.984 meters
Step-by-step explanation:
The distance around a circle is called the circumference, the formula for the circumference is...
[tex]C=\pi d[/tex]
OR
[tex]C=2\pi r[/tex]
Since we have the diameter we will be using the first one.
[tex]C=3.14*15.6[/tex]
[tex]C =[/tex]
48.984 meters.
Is this triangle acute, right, or obtuse?
Answers
Answer:
acute
Step-by-step explanation:
every angle is under 90 degrees
Answer:
The triangle is acute.
Step-by-step explanation:
-According the to following triangle, the angles are acute, because acute angles less wider and they measure less than 90°.
-The reason why the triangle is not a right or obtuse, is because right angles are angles that measure exactly 90°, and obtuse angles are angles that are much wider and they measure greater than 90°.
At the end of a year, the gross debt of a country stood at about $25 trillion. Express this amount in dollars per person, assuming that the population of the country is about 314 million
Answers
Answer:
$79,617.83 per person
Step-by-step explanation:
$25,000,000,000,000 / 314,000,000 = $79,617.83 per person
The amount of debt per person is $79,617.83.
The total debt is $25 trillion and the number of people in the country is 314 million.
The debt per person is:
= Total debt / population
= 25,000,000,000,000 / 314,000,000
= $79,617.83
The amount of debt per person is therefore $79,617.83.
Find out more at https://brainly.com/question/16757605.
Which situation is best met through long-term saving?
OA.
a broken refrigerator
B.
retirement
C.
an unexpected car repair
D.
an unexpected medical bill
Answers
Answer:
It is most likely B
Step-by-step explanation:
I know that D is incorrect, so I assume A and C would be as well since they're similar. Also, money toward retirement is taken out of paychecks at your jobs, so I think it is B
Answer:
retirement
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words.
What is the y-intercept of this quadratic function?
f(x) = -x^2+ 10x - 22
The y-intercept of function f is (____,____).
Answers
Answer:
(0,-22)
Step-by-step explanation:
its correct, trust me
4 points
3. The area of the base of a can is 45 square inches. Its height is 12 inches. If 1/3 of the
height is cut off, what will be the volume of the can?*
a) 540 cubic inches
b)180 cubic inches
c) 280 cubic inches
d) 360 cubic inches
Answers
Answer:
The correct answers is D
D) 360 cubic inches
Step-by-step explanation:
We know that the Area of the base of the can is given by
A = 45 inch²
Initial height of the can = 12 inches
Fraction of height cut off = 1/3
Calculate the final height after cutting off:
Find 1/3 of 12 inches:
[tex]\frac{1}{3}\cdot12=4[/tex]
Subtract the answer from 12 to get final height:
Final height = 12- 4 = 8 inches
Can is a form of cylinder, so:
Volume = (Area)(height)
[tex]V=45\cdot8\\V=360inch^3[/tex]
ANSWER ASAP!! I GIVE BRAINLIEST!!
Do not do #1 but plz answer the rest
show work
Answers
2. 3x - 5y = -2
x + 3y = 4
Let us multiply equation 2 by three, so we can use the elimination method.
3x + 9y = 12
Now, let us subtract equation 1 from equation 2.
3x + 9y - 3x + 5y = 12 + 2
14y = 14
y = 1
Let us substitute this value of y in equation 2.
x + 3(1) = 4
x = 4 - 3
x = 1
3. -3x + 3y = -6
6x + 4y = 42
Let us multiply equation 1 by 2, so we can use the elimination method.
-6x + 6y = -12
Let us now add equations 1 and 2, so as to eliminate x.
6x + 4y -6x + 6y = 42 - 12
10y = 30
y = 3
Let us now substitute this value of y in equation 1, so as to find x.
-3x + 3(3) = -6
-3x + 9 = -6
-3x = -15
3x = 15
x = 5
4. 12x + 4y = 20
2x - 2y = -2
Let us multiply equation 2 by 2, so as to use the elimination method.
4x - 4y = -4
Let us now add equations 1 and 2, so as to eliminate y.
4x - 4y + 12x + 4y = -2 + 20
16x = 18
x = [tex]\frac{18}{16}[/tex] = [tex]\frac{9}{8}[/tex] = 1.125
Let us substitute this value of x in equation 2, so as to find y.
2(9/8) -2y = -2
9/4 - 2y = -2
-2y = -2 - 9/4
2y = 17/4
y = [tex]\frac{17}{8}[/tex] = 2.125
The table below shows the survey results for six randomly selected lions from five different zoos.
Gender No. of Offspring Age, years
This data set contains
three variables, two of which are categorical
Othree variables, all of which are categorical
Othree variables, none of which are categorical
three variables, one of which is categorical
Answers
Answer:
Correct option: fourth one
Step-by-step explanation:
We can see in the table that we have three variables: the gender of the lion, the number of offspring and the age in years.
From these three variables, the gender is a categorical variable, because it can only assume a finite number of values (in this case, 2 values: M or F)
The other two variables (no. of offspring and age) can theoretically assume an infinite number of values (any non-negative integer number).
So the correct option is the fourth one: three variables, and one of them is categorical.
help please trying to get my gade up. show work please. ASAP
Answers
Answer:
8.94
Step-by-step explanation:
with a right triangle, you can use the Pythagorean Theorem, a^2 + b^2 = c^2
if you put in the values that you have, which are 8 and 4 into the equation, you get 8^2 + 4^2 = c^2
Now simplify, and you get 16 + 64 = c^2 which can then be further simplified to 80 = c^2
To get the value c all by itself, you have to square both sides. Square root of 80 becomes 8.94, and square root of c^2 becomes just a 'c'.
Therefore, you get 8.94 = c, meaning that the missing length (hypotenuse) is 8.94 units long.
Answer:
8.94
Step-by-step explanation:
John takes 2 hours to cut the grass in the lawn of a circular field. To cut the grass in a similar adjacent circular lawn of twice the radius, how many hours can John expect to take?
Answers
Answer:
8
Step-by-step explanation:
The area of a circle with twice the radius is 4 times the area of the smaller circle. If John's hours are proportional to area, we expect it will take him 4 times as long for the larger area.
John can expect to take 8 hours cutting the grass in the larger lawn.
___
The area of a circle with radius r is ...
A = πr²
The area of a circle with radius 2r is ...
π(2r)² = 4πr² = 4A . . . . . 4 times the area of the smaller circle
Billy just received $10 for his birthday and immediately spent $2.50 on a
pack of baseball cards. He then wants to buy some boxes of candy that cost
$1.50 each.
If Billy has $7.50 remaining, which of the following equations will give you
the number of boxes, X, that Billy could buy?
Answers
Answer:
Step-by-step explanation:
$10-$2.50=$7.50
$7.50/ $1.50 = 5
Answer:
5
Step-by-step explanation:
Which kind of exercise improves both muscular strength and muscular endurance?
aerobic
isometric
isotonic
isokinetic
Answers
I’m probably wrong but I Think its isometric.
Assume that you want to replace your sailboat with a larger one in 3 years. To save for a
down payment for this purchase, you deposit $2,000 for 3 years in a bank account that pays
10% annual interest, compounded annually. How much will be in the account at the end of 4
years?
Answers
Answer: $11,600
Step-by-step explanation:
$2000 * 10% = $200
y = 200x + $2,000
12 * 4 = 48
48 = x
y = 200(48) + $2,000
y = $9,600 + $2,000
y = $11,600
Given: ABCD is a square.
Put a checkmark in every box that must be
true. You will put more than one checkmark.
Has two pairs of parallel sides
Has exactly one pair of parallel sides
All four sides are congruent
Has exactly one pair of congruent sides
Both pairs of opposite sides are congruent
Two pairs of consecutive sides
(but not all four sides) are congruent
There are right angles at all four vertices
The diagonals are perpendicular
The diagonals are congruent
The diagonals bisect each other
Answers
Answer:abc about
Step-by-step explanation: all of them are bad
Answer:
The answers are:
Has two pairs of parallel sides
All four sides are congruent
Both pairs of opposite sides are congruent
There are right angles at all four vertices
The diagonals are perpendicular
The diagonals are congruent
The diagonals bisect each other
What is the value of y?
Answers
Answer:
hai
a triangle's sum of interior angels is equal to 180°.
so we have this equailty
y+10°+50+2y = 180
3y+60° = 180.
to solve better, im throwing 60 near 180. 60° is going to be -60 cause of it.
3y=180-60 = 3y=120
now im dividing both 3. because both can divide by 3.
3y/3 = 120/3 = y=40
good luck(:
enlarge the triangle by 3
Answers
Answer:
is this a question?
Step-by-step explanation:
Simplify 9 - {x - (7 + x)}
Answers
Let's simplify step-by-step.
9−(x−(7+x))
Distribute the Negative Sign:
=9+−1(x−(7+x))
=9+−1x+(−1)(−7)+−1(−x)
=9+−x+7+x
Combine Like Terms:
=9+−x+7+x
=(−x+x)+(9+7)
=16
PLEASE HELP FAST WILL GIVE BRAINLIEST AND 20 POINTS!!
solve this system of equations:
4x-3y=14
y=6x
Answers
First input 6x for y in the top equation
[tex]4x-18x=14[/tex]
simplify
[tex]-14x=14[/tex]
divide both sides by -14
[tex]\frac{-14x}{-14}=\frac{14}{-14}[/tex]
simplify
[tex]x=-1[/tex]
[tex]y=6*-1[/tex]
simplify
[tex]y=-6[/tex]
check
[tex]-4--18=14[/tex]
simplify
[tex]-4+18=14[/tex]
x=-1 y=-6
(-1, -6)
At breakfast, restaurant charges $2 for the first cup of orange juice and then $1 for each refill which graph represents this situation i need help ASAP
Answers
Answer:
line
Step-by-step explanation:
y= 2+(x-1)*1= x+1
y=x+1
linear function, the graph is going to be a line
Answer:
line
Step-by-step explanation:
