Answer:
Sum of arithmetic series is [tex]2077[/tex]
Step-by-step explanation:
We have [tex]n[/tex]th term of arithmetic sequence
[tex]a+(n-1)d[/tex]
Here
[tex]a+(n-1)d=127\\\\7+(31-1)d=127\\\\d=\frac{120}{30} \\\\=4[/tex]
Sum of arithmetic sequence [tex]=\frac{n}{2} (2a+(n-1)d)[/tex]
[tex]=\frac{31}{2} (2\times7+(31-1)4)\\\\=\frac{31}{2} (14+120)\\\\=31\times67\\\\=2077[/tex]
Answer:
The sum of arithmetic series is 2077.
Step-by-step explanation:
Solution :
Here we have provided that :
»» [tex]\rm{a_1}[/tex] = 1»» [tex]\rm{n}[/tex] = 31»» [tex]\rm{a_n}[/tex] = 127We need to find :
»» The sum of arithmetic series.Here's the required formula to find the sum of arithmetic series :
[tex]\longrightarrow{\pmb{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}[/tex]
Substituting all the given values in the formula to find the sum of arithmetic series :
[tex]{\longrightarrow{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \Big(7 + 127 \Big)}}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \Big(134 \Big)}}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \times 134 }}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{\cancel{2}} \times \cancel{134 }}}[/tex]
[tex]{\longrightarrow{\sf S = 31 \times 67}}[/tex]
[tex]{\longrightarrow{\sf S = 2077}}[/tex]
[tex]\star \: {\underline{\boxed{\sf{\red{S = 2077}}}}}[/tex]
Hence, the sum of arithmetic series is 2077.
[tex]\rule{300}{1.5}[/tex]
George and Marylin were both given the following example to complete on their
exam:
(152 +122-24x)
3.x
Below is each of their answers:
George
Marylin
(15x' +12° -24x)
3.x
(158° +12r -24x)
Зr
5r? +4x-8
5x +4x? - 8x
Which student is correct?
Explain the mistake that the other student made (Be detailed in your answer)
Answer:
this is not my level of math sorry i cant help you :(
Step-by-step explanation:
sorry
I need this answer
ASAP!
Remainder of 52,259 divided by 215
Answer:
14
Step-by-step explanation:
52,259 divided by 215 is 243.065116279
so we know that the nearest whole number is 243.
243x215 is 52,245
subtract 52,245 from 52,259 which gives you the remainder of 14
BRAINLIEST 87x89 PLEASE
Answer:
7743 caught you again lolllll
What is the area of the figure?
Answer:
doc
Step-by-step explanation:
sdsc
Use <, >, or = to make the
statement true.
20[?]-1
Answer:
20 > -1
Step-by-step explanation:
Well 20 is a positive integer that is 20 units from 0 whereas -1 is a negative integer that is 1 unit behind zero.
2/10 = 20%= 0.2
True or false
Answer:
True
Step-by-step explanation:
Solve for HL hypotenuse leg theorem
-GEOMETRY
[tex]\huge \bf༆ Answer ༄[/tex]
The Additional information needed to prove the Triangles congruent by HL criteria is ~ D
[tex] \sf ST \cong SE \: \: or \: \: US \cong FS[/tex]ST = SE or US = FS
===========================================
Explanation:
As you mentioned, HL stands for hypotenuse leg. The sides EF and UT marked with triple tickmarks are congruent, and they are the congruent hypotenuses. That takes care of the "H" part of "HL". So we can cross off choice C because it mentions TU = EF, which is already taken care of.
The "L" part can involve either leg of the triangles. So we could involve the legs ST and SE (they appear to be the shorter legs), or we could involve the longer legs US and FS. We only need to pick one of those options to handle the "L" portion. If we knew all three aspects, then we could easily refer to the SSS (side side side) congruence theorem.
The HL theorem only applies to right triangles.
How do we get 144 here?
Answer:
the correct answer is supposed to be 120, your almost there :)
Step-by-step explanation:
Find the equation of the axis of symmetry
for this function.
f(x) = 8x2 + 6x + 19
X=?
H(x)=(x+5)^2 if we solve h(x)=36
One of the possible values of x is 1
What is the other possible value of x?
Answer:
x = - 11
Step-by-step explanation:
Solving
(x + 5)² = 36 ( take square root of both sides )
x + 5 = ± [tex]\sqrt{36}[/tex] = ± 6 ( subtract 5 from both sides )
x = - 5 ± 6
Then
x = - 5 + 6 = 1
x = - 5 - 6 = - 11
The other solution is x = - 11
6.True or False.
A numeral, such as 22 is called a constant.
Answer:
True
Step-by-step explanation:
The term with no variable attached to it is the constant
Answer:
te voy a devolver el susto me diste 9 veces peor
Step-by-step explanation:
Convert 20degrees Celsius to degrees Fahrenheit
Answer:
68 degrees fahrenheit.
Step-by-step explanation:
Formula:
(20°C × 9/5) + 32 = 68°F
Answer:
Its around 68F
Step-by-step explanation:
Hope this helped
In the past month Melissa went to buy video games and 7 DVD the rental price for each video game was $3.10 the rental price for each DVD was $3.70 what is the total amount that Melissa bent on the video game and the DVD rentals in the past month
in baseball the home plate is shaped like the one shown it has three right angles and two other congruent angles A and B find measurement of angle a and measurement of angle B
Answer:
135
Step-by-step explanation:
the triangle is 90-45-45
the square is 90-90-90-90
where the two meet just add 45 + 90
135
Which is the last step when creating and analyzing a scatterplot from a table of values?
Plot the ordered pairs of the independent variable and the dependent variable on the coordinate plane.
Draw or obtain a blank coordinate plane.
Identify if there is a relationship between the independent and dependent variables.
Label the axes of the coordinate plane according to the input and output variables.
Answer:
A quadratic equation. ax2 +bx+c=0 has exactly one real solution if ∆=b2-4ac=0. We check the answers. In (A) ∆=1 ; in (B) ∆ =25: in (C) ∆=0; in (D)∆=1 . (C) is the correct answer.
Answer:
C. Identify if there is a relationship between the independent and dependent variables.
Step-by-step explanation:
Classify the following triangle as acute, obtuse, or right.
D. None of these.
Equilateral is the only triangle that has all the sides that are equal to each other. Hope this helped you :)
Option D . None of these is the correct answer.
4 out of the 10 employees at the sports shop are part-time employees. What percentage of the employees at the sports shop work part-time?
Write your answer using a percent sign (%).
Answer:
40%
Step-by-step explanation:
Well, if 4/10 work part time, 4/10 converted to percentages is 40%.
F(x) = 3x2+ 6x - 18 find f (10)
Answer:
f(10) = 342
Step-by-step explanation:
f(x) = 3x² + 6x - 18
f(10 = 3(10)² + 6(10) - 18
f(10) = 3(100) + 60 - 18
f(10) = 300 + 60 - 18
f(10) = 360 - 18
f(10) = 342
Combine the like terms to create an equivalent expression.
\large 9p+3p
Step-by-step explanation:
there is not much here.
all I can see is
9p + 3p
and that is 12p (as 9+3 = 12)
Need help doing this
Answer:
huh I'm confused I dont know
can someone help me :
Answer:
A: yes
B: yes
C: no
D: no
E: no
Hope This Helps!!!
Answer:
s = -2
s = -8
Step-by-step explanation:
negative numbers get smaller and smaller the farther they are from zero
what is 57/100- 3/10
Answer:
27/100
Step-by-step explanation:
make 3/10 into an equivalent fraction with a denominator of 100
therefore, multiply both 3 and 10 by 10 to get: 30/100
57/100 - 30/100 = 27/100
Hoped this helped
[tex]BrainiacUser1357[/tex]
Farhad George and Tom each did a test here are the marks for the test George drew this bar chart to show the mask they got the butcher is not fully correct write-down two things that are wrong with George bar chart
Answer:
where is the bar chart can u post an image to help
Which equation matches the given points? (0, 7.6), (1, 6.2), (2, 4.8), (3, 3.4), (4,2)
The equation that matches the given points is g(x) = -1.4x + 7.6
The standard form of a linear equation is expressed as [tex]g(x)=mx + b[/tex]
m is the slope of the lineb is the y-intercept:Using the coordinate points (3, 3.4), (4,2)
[tex]m=\frac{2-3.4}{4-3}\\m=\frac{-1.4}{1}\\m=-1.4[/tex]
Substitute m = -1.4 and the coordinate (4, 2) into the formula:
[tex]2=4(-1.4)+b\\2=-5.6+b\\b=2+5.6\\b=7.6[/tex]
Get the required equation:
[tex]g(x)=mx+b\\g(x)=-1.4x+7.6[/tex]
Hence the equation that matches the given points is g(x) = -1.4x + 7.6
Learn more on equation of a line here; https://brainly.com/question/9351428
Can you help me please ?
Answer:
A
Step-by-step explanation:rise⇵ over run ⇄
the rise is -6 the run is 3
A student's bank account is represented in the table shown.
1. Create a linear regression equation that can be used to model the amount of money in the account (the balance), y, based on the time (in weeks), x. Round all values to the nearest hundredth.
2. What is the slope of your linear regression equation? What does it mean in the context of the situation (time and $).
3. Use the model to approximate the amount in the account after 15 weeks. Round to the nearest hundredth.
4. Use the model to approximate how long it would take to have $50.00 in the account.
The desmos link is in the reply section below...
1.) y = 1.56x + 1.29
2.) the slope is 1.56
As the weeks are increasing, the student's balance is growing about 1.56 per week.
3.) y = 24.69
4.) 50 = 1.56x + 1.29
50 - 1.29 = 1.56x + 1.29 - 1.29
48.71 =1.56x
48.71 / 1.56
31.2
Q6 (i) please i don’t know what i’m doing wrong
Answer:
x = 4
Step-by-step explanation:
Square both sides
x+5 = 25-10sqrt(x)+x
20 = 10sqrt(x)
sqrt(x) = 2
Square both sides again
x=4
Verify sol
x = 4
find the value of x from the following figure
Answer: 70°
Oki so...
The corresponding angle in a transversal line cut by a parallel line is equal. So in this case, angle QSP is 110°
Line PSR is a straight line and a straight line angle is 180°
So, 180-110=70° (angle QSR)
Now that you know the two angle of the triangle is 40° and 70° and that a triangle is 180°
Simply, 180-(40+70)
This comes 70. So x is 70°
3480 divided by 29 what is the answer that its asked
Answer:
120
Step-by-step explanation:
To be honest I just looked it up.
Molly has biweekly gross earnings of $839. 52. By claiming 1 more withholding allowance, Molly would have $16 more in her take home pay. How many withholding allowances does Molly currently claim? a. 1 b. 2 c. 3 d. 4.
Molly currently claims 2 withholding allowances which can be determined by using rules of allowance.
Given that,Molly has biweekly gross earnings of $839. 52.
By claiming 1 more withholding allowance,
Molly would have $16 more in her take-home pay.
We have to determine,How many withholding allowances does Molly currently claim?
According to the question,Molly has biweekly gross earnings of $839. 52.
By claiming 1 more withholding allowance,
Molly would have $16 more in her take-home pay.
The withholding allowance is used by a person to pay less amount of tax on his or her income to the government.
Molly has biweekly gross earnings of $839. 52.
By claiming 1 more withholding allowance,
Molly would have $16 more in her take-home pay.
Therefore,
It is given that Molly has taken 1 more withholding allowance to pay tax less by the amount of $16.
So he must have possessed at least 1 allowance previously and added 1 more.
So, the minimum number of allowance possessed by Molly = 2
Hence, Molly currently claims 2 withholding allowances.
For more details about Income Tax refer to the link given below.
https://brainly.com/question/1708567