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]
Answer this question.
You get a thank you and 5 stars if it's the correct answer.
Answer:
w = 5, x = 7, y = 6, z = 12
Step-by-step explanation:
Evaluate each row by solving the corresponding equation, that is
row 1
4w = 20 ( divide both sides by 4 )
w = 5
row 2
2w + 2x = 24 ( substitute w = 5 )
2(5) + 2x = 24
10 + 2x = 24 ( subtract 10 from both sides )
2x = 14 ( divide both sides by 2 )
x = 7
row 3
w + 2x + y = 25 , that is
5 + 2(7) + y = 25
5 + 14 + y = 25
19 + y = 25 ( subtract 19 from both sides )
y = 6
row 4
w + x + y + z = 30 , that is
5 + 7 + 6 + z = 30
18 + z = 30 ( subtract 18 from both sides )
z = 12
(1 pc
3. A recipe calls for 4 cups of sugar to make 4 dozen cookies. Use the proportion to calculate
how much sugar is needed to make 8 dozen cookies.
4 cups
x cups
4 dozen 8 dozen
O2 cups
08 cups
08.5 cups
0 12 cups
I really need help! I give Brainly-est
Answer:
8cups
Step-by-step explanation:
if it takes 4-cups for 4-dozen. That's 1-cup each dozen so 8-dozen is 8-cups
30 POINTS
Suppose the average age of 42 meerkats in a clan is known to be 5.2 years-old. Which statement BEST describes a random sample of 15 meerkats from the clan?
A) The random sample of 15 meerkats should be exactly 5.2 years-old.
B) The random sample of 15 meerkats should be close to 5.2 years-old.
C) The random sample of 15 meerkats should be more than 5.2 years old.
D) The random sample of 15 meerkats should be less than 5.2 years old.
Using the Central Limit Theorem, it is found that the correct option is:
B) The random sample of 15 meerkats should be close to 5.2 years-old.The Central Limit Theorem states that taking a sample of size n for a population of mean [tex]\mu[/tex], the sample means are going to be close to [tex]\mu[/tex].
The larger the value of n, the closer the sample mean should be to [tex]\mu[/tex]In the context of this problem, the sample mean should be close to 5.2 years old, and the correct option is B.
For more on the Central Limit Theorem, you can check https://brainly.com/question/25581475
Answer:
its b
Step-by-step explanation:
on usatp
help pls!! I will mark brainliest!! :(
Answer:
Three choice
Step-by-step explanation:
I think.
Find the values of the variable and the lengths of the sides.
Answer:
See answers below
Step-by-step explanation:
2x - 7 = x + 1 sides are equal
x - 7 = 1
x = 8
Find the length of each side
AD = 2x -7 BC = x + 1 AB = 2x - 2 DC = x - 1
AD = 2(8) - 7 BC = 8 + 1 AB = 2(8) - 2 DC = 8 - 1
AD = 16 - 7 BC = 9 AB = 16 - 2 DC = 7
AD = 9 AB = 14
A triangle can have the side lengths of: 1, 10, and 10.
O True
O False
Answer:
True
Step-by-step explanation:
If you do this on paper, you can make a triangle but it will be close to a line, since the two side lengths are the same and that the last side length is 1.
How do I find the percentage of two column data table?
Answer:
a) 47.7%
b) 87.2%
Step-by-step explanation:
Find the ratio of interest, and convert it to a percentage.
a)(messy right-handed writers)/(right-handed writers)
= 31/65 = 31/65 × 100% ≈ 47.7%
__
b)(neat right-handed writers)/(neat writers)
= 34/39 = 34/39 × 100% ≈ 87.2%
solve the equation (x-4) (x+9) = 0
Answer:
x = 4,-9
Step-by-step explanation:
This is a quadratic equation in x-intercept pattern. Since this is completely factored, we can simply solve the equation like a linear.
First, separate two equations. Let r be the roots of equation, therefore:
[tex]\displaystyle \large{r=\begin{cases}x-4=0\\ x+9=0 \end{cases}}[/tex]
I use the r-variable to denote the roots of equations (not necessary), simply separate both then solve it like a linear.
[tex]\displaystyle \large{r=\begin{cases}x-4+4=0+4\\ x+9-9=0-9 \end{cases}}\\\displaystyle \large{r=\begin{cases}x=4\\ x=-9 \end{cases}}[/tex]
Therefore, the roots of equation are x = 4 or x = -9. In short, we can write as x = 4,-9.
The reason why we use OR instead of AND because one of x-values satisfy the quadratic equation hence ‘or’ is more suitable than ‘and’. However, you must write all valid solutions instead of writing only one x-value from two.
___________________
Let me know in the comment if you have any questions.
A, E and B lie on a straight line segment.
C, D and B lie on a straight line segment.
BD = 3m, CD = 15m and AB = 21m.
Work out the length of BE.
Give your answer as a decimal.
The length of line BE on the given line segment is 3.5 m.
The given parameters:
Length BD = 3 mLength CD = 15 mLength AB = 21 mThe sketch of the given line segments is presented in the diagram uploaded.
The length of BE is determined by applying similar triangle theorem as follows;
[tex]\frac{CB}{AB} = \frac{BD}{EB} \\\\\frac{15 + 3}{21} = \frac{3}{EB} \\\\18EB = 63 \\\\EB = \frac{63}{18} \\\\EB = 3.5 \ m[/tex]
Thus, the length of line BE on the given line segment is 3.5 m.
Learn more about similar triangle here: https://brainly.com/question/11899908
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 expression shows a way to factor 20+24?
Answer:
20+24= 2(10+12) = 4(5+6)
Those are two ways to factor 20+24.
Solve the quadratic equation 2x2 – x = 15 using the quadratic formula.
Question 6 options:
A)
x = –3, x = –5∕2
B)
x = –3, x = 5∕2
C)
x = 5∕2, x = 3
D)
x = – 5∕2, x = 3
which one is right. keep it simple
Answer:
B) x = 3 or x = -5/2
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 - x = 15
Subtract 15 from both sides:
2 x^2 - x - 15 = 0
x = (1 ± sqrt((-1)^2 - 4×2 (-15)))/(2×2) = (1 ± sqrt(1 + 120))/4 = (1 ± sqrt(121))/4:
x = (1 + sqrt(121))/4 or x = (1 - sqrt(121))/4
sqrt(121) = sqrt(11^2) = 11:
x = (1 + 11)/4 or x = (1 - 11)/4
(1 + 11)/4 = 12/4 = 3:
x = 3 or x = (1 - 11)/4
(1 - 11)/4 = -10/4 = -5/2:
Answer: x = 3 or x = -5/2
Solve the following system of equations graphically.
y=3x+4
y=-2x-5
Answer:
(x, y) = (-1.8, -1.4)
Step-by-step explanation:
ASAP HELP Can a triangle have sides with the given lengths? Explain, showing all the work
8 ft, 9 ft, 18 ft
PLEASE EXPLAIN
Answer:
Yes
Step-by-step explanation:
the triangle is a scalene triangle (has no equal parts
two hundred and seven thousand in standard form
Answer:
7,200
Step-by-step explanation:
I hope this helps!
[tex]x+y=-9\\ x+2y=-25\\what is value of x[/tex]
x + y = -9
x + 2y = -25
Rewrite the first equation as x = -9-y
Relace x in the second equation:
-9-y + 2y = -25
Simplify:
-9 +y = -25
Add 9 to both sides:
y = -16
Now you know y,, replace y in the first equation and solve for x:
x -16 = -9
Add 16 to both sides:
x = 7
Answer: x = 7
k/5.6+ 41.5 = 10.8
The solution is k=
Answer: The solution is k = -171.92.
Answer:
k = - 171.92
Step-by-step explanation:
[tex]\frac{k}{5.6}[/tex] + 41.5 = 10.8 ( subtract 41.5 from both sides )
[tex]\frac{k}{5.6}[/tex] = - 30.7 ( multiply both sides by 5.6 to clear the fraction )
k = - 171.92
Visualise the representation of 5.37(Bar over 7).
Using number line.
[tex] \: \: \: [/tex]
[tex] \pink{ 5.37}[/tex]
To visualize 5.37 more accurately, divide line segment between 5.37 and 5.38 in ten equal parts. 5.37 lies between 5.377 and 5.378.Again use divide above portion between 5.377 and 5.378 into 10 equal parts, which shows 5.37 is located closer to 5.3778 than to 5.3777 so we can get the answerhope it helps3. Luigi lives 10 miles from work and rides his fancy Segway there each day. He rides past one
block every 45 seconds. Each block is 360 feet long. What is the rate, in feet per second at
which Luigi rides his Segway?
А
36 feet per second
B
80 feet per second
с
4.5 feet per second
D
8 feet per second
1.(01.01)
Evaluate -6 - (-1). (1 point)
5
-5
6
Answer:
I don't understand the question. Write it again & briefly.
a floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. how many tiles are needed to cover the floor?
Answer:
Step-by-step explanation:
12 inches per foot
The floor is 9(12) = 108 inches by
12(12) = 144 inches
The floor area is 108(144) = 15552 sq. In.
Each tile is 4(6) = 24 sq. in.
Need 15552/24 = 648 tiles
10x + 4y = 16 in slope intercept form
Show your work please
[tex]10x+4y=16\\\\\implies 4y = 16-10x\\\\\implies y =\dfrac14(16-10x)\\\\\implies y = 4 - \dfrac 52 x\\\\\implies y=-\dfrac 52 x +4\\\\\text{This is the slope - intercept form (y=mx+b).}[/tex]
Answer:
y = - 2.5x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
10x + 4y = 16 ( subtract 10x from both sides )
4y = - 10x + 16 ( divide through by 4 )
y = [tex]\frac{-10}{4}[/tex] x + 4 , that is
y = - 2.5x + 4 ← in slope- intercept form
Select the correct answer.
Write an expression to represent the product of 6 and the square of a number plus 15.
In your expression, what is the value of the coefficient?
A.1
В.15
c. 6
D. 2
Answer:
15 in the correct answer
Danielle pays $35 for 6 1/3 pounds of coffee.Charyn pays $60 for 9 1/4 of coffee. Whose coffee cost more per pound . What is the difference per pound in the coffee
Answer:
Charyn's coffee is the dearest.
Difference per pound is $0.96.
Step-by-step explanation:
Price per pound = total price / pounds bought
For Danielle this
is 35 / 6 1/3
= 35 / 19/3
= 35 * 3 / 19
= $5.526.
For Charyn this
is 60 / 9 1/4
= 60 / 37/4
= 60 * 4 / 37
= $6.486.
Difference = $0.96.
Express the following as:
ax+by+c=0
-2x+3y=6
[tex] \color{magenta} \huge{answer}{} [/tex]
it can be expressed as -2x + 3y = 6on comparing with ax+by+c=0
We can find out that
[tex] \green{ \huge{a= -2}{} }[/tex]
[tex] \pink{ \huge{b = 3}{} }[/tex]
[tex] \color{magenta} \huge{c = 6}{} [/tex]
hope it helpsThe expression -22x + 3y = 6 in the form ax + by + c = 0 is -2x + 3y - 6 = 0
Linear EquationsThe given equation is:
-2x + 3y = 6
Comparing the equation above with ax + by + c = 0
Rewrite -2x + 3y = 6 in the form ax + by + c = 0
-2x + 3y - 6 = 0
If -2x + 3y - 6 = 0 is compared with ax + by + c = 0
a = -2, b = 3, c = -6
Therefore, the expression-22x + 3y = 6 in the form ax + by + c = 0 is -2x + 3y - 6 = 0
Learn more on linear equations here: https://brainly.com/question/14323743
The written price of a shirt is Rs. 275. If 15% rebate is given
on the written price, what will a customer pay?
Please answer in the simpliest way
Based on the cost of the shirt and the rebate applied, the customer would pay Rs. 233.75
A rebate is a discount on the price of a good so the shirt will be discounted by 15%.
= 275 x 15%
= Rs. 41.25
The price the customer will pay is therefore:
= Cost of shirt - Discount
= 275 - 41.25
= Rs. 233.75
In conclusion, the customer will pay Rs. 233.75
Find out more on discounts at https://brainly.com/question/889098.
GIVING BRAINLIEST. please help!
I need seriously help. Exponents suck.
this pictute ⇊
Answer:
4.5 × 10^46
Step-by-step explanation:
(4.8 × 10^19) · (9.47 × 10^26) = 4.5 × 10^46
please help!! (only correct answers and no links)
Four transformations of the function f(x) are given below.
For each transformation, drag the graph that shows the result of that transformation into the box under it.
Answer:
f(x) - 3 : the ones that move the graph down
f(x -3) : the ones that move the graph to the RIGHT
Step-by-step explanation:
graph transformations:
f (x-3):
if the number is inside the "()" sign with the x -> you will have to move the graph sideways (left or right), but it has a little twist: if the number is negative (i.e: f(x)-3), you will move the graph to the right, and if it is positive, you will move it to the left.
f (x) -3:
if the number is outside the "()" -> you will have to move the graph up or down. there is no twist here: if its negative, it goes down, if its positive, it goes up.
hope i could help:)
A lifeguard received 15 hours of first aid training and 10 hours of CPR training. What is the ratio of hours of CPR training to hours of first aid training?
Answer:
The ratio of hours of CPR training to hours of first aid training is 10:15
Step-by-step explanation: