Given is an A.P. in which -
First term,a = 2Common difference = Second term - First term[tex]\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad = a_2-a_1[/tex]
[tex]\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad = 7-2 [/tex]
[tex]\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad = 5[/tex]
Solution:-nth term of an A.P ,is given by-
[tex]\green{ \underline { \boxed{ \sf{a_n =a+(n-1)d }}}}[/tex]
where
[tex]a_n = nth \;term[/tex]a = first termn = number of termd = common differencePutting n = 46
[tex]\begin{gathered}\\\implies \sf a_{46}= 2 + (46-1)\times 5 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies \sf a_{46}= 2 + 45\times 5 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies \sf a_{46}= 2 + 225 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies \sf a_{46}= 227 \\\end{gathered} [/tex]
[tex]\longrightarrow[/tex]Therefore, the 46th term is 227
Hence, the [tex]46th[/tex] term is [tex]227[/tex].
What is the sequence?
A sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.
Here given sequence is
[tex]2,7, 12,...[/tex]
Here,
[tex]a=2[/tex]
[tex]d=a_2-a_1\\d=7-2\\d=5[/tex]
The general formula of the sequence is
[tex]a_n=a+(n-1)d[/tex]
where,
[tex]a_n=[/tex] nth term
[tex]a[/tex] is the first term
[tex]d[/tex] is the common difference
[tex]n[/tex] is the number of terms
Now substituting the values in general formula is
[tex]a_{46}=2+(46-1)5\\\\a_{46}=2+(45)5\\\\a_{46}=2+225\\\\a_{46}=227\\[/tex]
Hence, the [tex]46th[/tex] term is [tex]227[/tex].
To know more about the sequence
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(Geometry)
I don’t know how to prove this
Answer:
Step-by-step explanation:
congruent sides
Answer:
soIve the congcreunt sides
Step-by-step explanation:
then ask ur parents
Solve the equation and enter the value of x below.
6x + 3 = 27
X=
Answer:
x=4
Step-by-step explanation:
6x+3 = 27
Subtract 3 from each side
6x+3-3=27-3
6x = 24
Divide each side by 6
6x/6 = 24/6
x = 4
Answer:
x=4
Step-by-step explanation:
6x+3=27
6x=24
x=4
HELPPP ILL GIVE BRAINLIST ALSO Interpret each plotted point in the graph.
is -13/3 rational or irrational
Answer:
It is irrational
Step-by-step explanation:
Hope that helps!
Find the volume of the composite solid. Round your answer to the nearest tenth.
16 ft
6 ft
4 ft
The volume is about
cubic feet.
The volume of the composite solid is 4823.04 ft³.
Wha is volume?Volume is the amount of space or the capacity of a solid shape.
To find the volume of the composite solid, we use the formula below.
Formula:
The volume of the composite solid = Volume of the cone + volume of the cylinder.
V = πr²H+πr²h/3Where:
V = Volume of the composite solidr = Radius of the base of cylinder/ the base of the coneH = Height of the cylinderh = Height of the coneπ = PieFrom the question,
Given:
r = 16 ftH = 4 fth = 6 ftπ = 3.14Substitute these values into equation 1
V = 3.14(16²)(4)+3.14(16²)(6)/3V = 3215.36+1607.68V = 4823. 04 ft³Hence, The volume of the composite solid is 4823.04 ft³.
Learn more about volume here: brainly.com/question/1972490
I need the help with geometry problem
Answer: sqrt(182)
Step-by-step explanation:
i need help with problem 1
Find the domain for the rational function f(x)=x+4/3x-5
Answer:
all real numbers
Step-by-step explanation:
the domain for normal linear and quadratic equations is always all real numbers
Find the value of x
.
12.5,−10,−7.5,x
; The mean is 11.5
.
Step-by-step explanation:
please mark me as brainlest
Answer:
x = 51
Step-by-step explanation:
If the mean = 11.5, then that means all numbers added together divided by four = 11.5. Let's write this algebraically:
[tex]\frac{12.5+(-10)+(-7.5)+x}{4}=11.5[/tex]
Now, let's solve for x:
[tex]12.5-10-7.5+x=11.5(4)[/tex]
[tex]-5+x=46[/tex]
[tex]x=51[/tex]
I hope this helps!
find the value of (0.81÷0.09)+(0.81÷9)
Answer:
9.09
Step-by-step explanation:
[tex]\frac{0.81}{0.09} + \frac{0.81}{9}[/tex]
= 9 + [tex]\frac{0.81}{9}[/tex]
= 9+ 0.09
= 9.09
I hope this helped!! If so please rate and mark brainliest <3!!
HELP PLEASE WILL GIVE BRAINLISET
Answer:
300 calories
Explanation:
ran total : 11,775 feetperimeter of circle : 2 π rHere radius:
diameter/2150/275 ftperimeter of track = 2 π r = 2 (3.14) (75) = 471 ft
total laps ran:
11,775/47125 lapsSo calories burnt:
25* 12300 caloriesAnswer:
300 calories
Step-by-step explanation:
Circumference of a circle = πd
(where d is the diameter)
Given:
d = 150 ftπ = 3.14Substitute the given values into the formula to find the circumference (length of one lap):
⇒ Circumference = 3.14 × 150 = 471 ft
Given:
Total distance run = 11,775 ft⇒ Total laps = total distance run ÷ circumference
= 11775 ÷ 471
= 25
Given:
Calories burnt per lap = 12⇒ Total calories burnt = total number of laps × cal burnt per lap
= 25 × 12
= 300 calories
Good afternoon, please help me with this question and if u get it correct ill give u the brainlest
Answer:
5/6
Step-by-step explanation:
it comes out originally like 10/12 but if your simplify it it's 5/6
Answer:5/6
Step-by-step explanation: 12-2 =10 so 10/12 which simplifies to 5/6
Simplify 2b –7+3+4 –+3
Answer:
Hope this helps :-)
Step-by-step explanation:
I don't know which one it is, but the answer to the one in the picture is 4b+14and the answer to the one on brainly is 2b-3Answer:
4b
Step-by-step explanation:
2b+3b-b-7+4+3
4b
I hope this answered it
Rachel deposited $10 in an account earning 5% interest compounded annually.
To the nearest cent, how much interest will she earn in 3 years?
The amount that Rachel would have in her account after 3 years with annual compounding is $11.58.
What would be the worth of the account in 3 years?When interest is compounded annually, it means both the amout deposited and the interest already accrued increases in value once a year.
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of years$10 x (1.05)^3 = $11.58
To learn more about future value, please check: https://brainly.com/question/18760477
Answer:
1.58
Step-by-step explanation:
its right
Given the side lengths, determine if the triangle is acute, obtuse, right, or not a triangle. 3.4, 3.3, 2.4
Please Help Will GIve Brainlest! Locks in 1 Hour!
Answer:
-3.274
Step-by-step explanation:
attached
Hopes this helps
{please mark me brainiest}
I want to know how to find EF and what the answer is.
[tex]\huge\underline\mathtt\colorbox{cyan}{37✅✅✅}[/tex]
Step-by-step explanation:
5x+12=6x+7 (opposite sides of a parallelogram are equal) 12=x+7 (subtract 5x from both sides) x=5 (subtract 7 from both sides) Now put x in any of the equations-- 5(5)+12=37 or 6(5) +7=37Use the following compound interest formula to complete the problem. a = p (1 startfraction r over n endfraction) superscript n superscript t victor has a credit card with an apr of 13.66%, compounded monthly. he currently owes a balance of $1,349.34. assuming that victor makes no purchases or payments, how much will he owe after one year, to the nearest cent? a. $1,349.34 b. $1,533.66 c. $1,545.65 d. $1,364.70
The final amount that Victor will owe after one year, to the nearest cent is given by: Option C: $545.65
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
For this case, we're provided that:
The interest rate is r = 13.66% = 13.66/100 = 0.1366 (converted percent to decimal)
It is compounding monthly, thus, 12 times a year, or n = 12
The initial amount that the credit card of Victor has = p = $1349.34
Time for which interest was compounded = a year = 1 = t
Thus, the final amount that Victor will owe after one year to the nearest cent is calculated as;
[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 1349.34(1 + \dfrac{0.1366}{12})^{12\times 1}\\\\a = 1349.34(1.01138)^{12} \approx 1245.65 \: \rm (in \: dollars)[/tex]
Thus, the final amount that Victor will owe after one year, to the nearest cent is given by: Option C: $545.65
Learn more about compound interest here:
https://brainly.com/question/1329401
Answer:
C
Step-by-step explanation:
I took the test and passed with 100
Which of the equations below describes a circle with radius 7? A. x2 - y2 = 7 B. x2 + y2 = 49 C. x2 + y2 = 77 D. x2 + y2 = 7
Answer:
x2-y2=49
Step-by-step explanation:
the radius is the square root of the number after the equal sign. So the only choice with a number with square root 7 is x2-y2=49
the diameter of a half dollar is 3 centimeters what is the circumference of a half dollar to the nearest millimeter
Answer:
9.4 cm
Step-by-step explanation:
pi*diameter=circumference
3.14159*3=9.42478
round to nearest millimeter
9.4 cm
What is the measure of angle x?
Enter your answer in the box
Answer:
x = 83°Step-by-step explanation:
There are 6 angles, 3 pairs of vertical angles that sum to 360°.
Set below equation and solve for x:
2(41° + 56° + x) = 360°97° + x = 180°x = 180° - 97°x = 83°Opposite angles are equal and linear pairs are supplementary
x+56+41=180x+97=180x=180-97x=83°The perimeter of a rectangular
painting is 18 feet. It is 4 feet wide.
How high is it?
feet
Answer:
5 ft
Step-by-step explanation:
Since we have a rectangle, we know for sure that perimeter = double the width and double the height. Algebraically, that looks like:
P = 2W + 2H
Let's sub in the given values, P and W:
18 = 2(4) + 2H
Now, let's solve for the height, H:
18 = 8 + 2H
10 = 2H
10/2 = H
5 = H
I hope this helps!
A pink die and a green die are thrown once. What is the probability that
Using it's concept, it is found that there is a There is a 0.1667 = 16.67% probability that the sum is less than 8 if the pink die shows a number less than 4.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, the possible outcomes for the pair of dice are given by:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
We want to find the probability that the sum is less than 8 if the first die(the pink one) shows a number less than 4.
There are 18 total outcomes in which the pink die is less than 4, and in 3, the sum is less than 4, hence:
p = 3/18 = 1/6 = 0.1667.
There is a 0.1667 = 16.67% probability that the sum is less than 8 if the pink die shows a number less than 4.
More can be learned about probabilities at https://brainly.com/question/14398287
Measure of angle U . Help quick
Answer:
72 degrees
Step-by-step explanation:
all triangles have angles adding up to 180
that does not look like a right triangle
only possible answer is 72
Answer:
angle U = 72°
Step-by-step explanation:
The sum of the internal angles in a pentagon is 540°
[tex]x^{o} +(2x)^{o} +(2x)^{o} +90^{o}+90^{o} =540^{o}[/tex]
[tex](5x)^{o} =540^{o} -180^{o}[/tex]
[tex]x^{o} =\frac{360^{o} }{5} =72^{o}[/tex]
Hope this helps
find the number that makes the ratio equivalent to 3:8 6:_
Answer:
6:16
Step-by-step explanation:
To find the answer you do 3x_=6 which the missing number is 2, so you do 8x2=16 because whatever you multiply the first number by you have to do the same to the second number in fractions, ratios, etc.
what is the volume of a sphere if its radius is 30
Answer:
About 113,097.34 units
Step-by-step explanation:
The volume of a sphere can be found with the equation V = [tex]\frac{4}{3}[/tex]πr³ when r is the radius.
V = [tex]\frac{4}{3}[/tex]πr³
V = [tex]\frac{4}{3}[/tex]π(30)³
V ≈ 113,097.34 units
Please help me with this, I will give brainliest.
find the value of x round to the nearest 10th
use sin, cos, and tan
Answer:
5.9 or 5.85 unrounded
What is the measure of angle b?
Answer:
b=133 and c=47
Step-by-step explanation:
b+47=180
b=180-47=133
b=133
and
c=b+133=180
c=180-133=47
c=47
A recipe requires 34 cups of milk. Paula is making 12 of the recipe. How many cups of milk will Paula use?
Equations, graphs, Slopes and y-intercepts : application
Answer:
[tex]\sf y= \dfrac{1}{2}x-5[/tex]
Explanation:
coordinates taken: (0, -5), (6, -2)slope:
[tex]\rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\rightarrow \sf \dfrac{-2--5}{6-0}[/tex]
[tex]\rightarrow \sf \dfrac{1}{2}[/tex]
equation in slope intercept form:
y = m(x) + b [ where "m is slope", "b is y-intercept" ][tex]\sf y= \dfrac{1}{2}x-5[/tex]
Answer:
[tex]y=\frac{1}{2}x-5[/tex]
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
To find slope, we use points on the line.
Here, I will be suing (-6, -8) and (8, -1)
[tex]m=\frac{1-(-8)}{8-(-6)} \\\\m=\frac{-1+8}{8+6} \\\\m=\frac{7}{14}\\\\m=\frac{1}{2}[/tex]
[tex]y=mx+b[/tex]
[tex]y=\frac{1}{2} x+b\\[/tex]
Now, we use either of our points (-6, -8) OR (8, 1) to find b.
I will be using (8, -1):
[tex]y=\frac{1}{2}x+b\\\\-1=\frac{1}{2}(8)+b\\\\-1=4+b\\\\-4-4\\\\-5=b[/tex]
[tex]y=\frac{1}{2}x+b== > y=\frac{1}{2}x-5[/tex]
Check your answer manually: (-6, -8)
[tex]y=\frac{9}{14}x-\frac{29}{7}\\\\-8=\frac{9}{14}(-6)-\frac{29}{7}\\\\-8=\frac{9}{7}(-3)-\frac{29}{7}\\\\-8=-\frac{27}{7}-\frac{29}{7}\\\\-8=-\frac{56}{7}\\\\-8=-8[/tex]
This statement is correct.
*You can also view the attached graph to verify the answer, meaning that those two points should lie on the same line.*
Hope this helps!