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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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
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
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!!
HELPPP ILL GIVE BRAINLIST ALSO Interpret each plotted point in the graph.
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
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!
i need help with problem 1
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!
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
I need the help with geometry problem
Answer: sqrt(182)
Step-by-step explanation:
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°A recipe requires 34 cups of milk. Paula is making 12 of the recipe. How many cups of milk will Paula use?
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
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=37Solve 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
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
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.
Given the side lengths, determine if the triangle is acute, obtuse, right, or not a triangle. 3.4, 3.3, 2.4
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
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!
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
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
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
is -13/3 rational or irrational
Answer:
It is irrational
Step-by-step explanation:
Hope that helps!
Use 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
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
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
(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
Please Help Will GIve Brainlest! Locks in 1 Hour!
Answer:
-3.274
Step-by-step explanation:
attached
Hopes this helps
{please mark me brainiest}
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