Answer:
The sum of the arithmetic progression is 51
The sum of the remaining terms is 28
Step-by-step explanation:
Sum of terms of an arithmetic progression
Being a1 the first term of an arithmetic progression, an its last term, and n the number of terms, the sum of all terms is calculated as:
[tex]\displaystyle S_n=\frac{a_1+a_n}{2}\cdot n[/tex]
We are given the progression:
1,4,7,10,13,16
We need to check if the list of numbers is a progression. The difference between consecutive terms must be equivalent.
Since:
4 - 1 = 3
7 - 4 = 3
10 - 7 = 3
And the rest of the differences also result in 3, the series of numbers has a common difference of 3.
The progression has the following parameters:
a1=1, an=16, n=6
Let's find the sum:
[tex]\displaystyle S_6=\frac{1+16}{2}\cdot 6[/tex]
[tex]\displaystyle S_6=\frac{17}{2}\cdot 6[/tex]
[tex]S_6=51[/tex]
The sum of the arithmetic progression is 51
If we removed the terms 7 and 16, the new sum is:
51 - 7 - 16 = 28
The sum of the remaining terms is 28
Which of the following best describes the slope of the line below ?
A) Undefined
B) Positive
C) Negative
D) Zero
Solve the system of equations.
14r + 5y = 31
2r - 3y = -29
Which show a way to factor the expression 32t-48? Select all that apply.
A 2(16t-24)
B 4(12t-48)
C 6(26t-42)
D 8(4t-6)
E 16(2t-3)
what negative 8 in graphing
Answer:
The 8 is in the quadrant III and IIII
Step-by-step explanation:
Which equations listed below contain like terms?
A. 2c-4x=13
B. 14p-3p=9
C. 12(13v-13)+3=14
D. 77-2x+ 15-3x=29
Answer:
B
Step-by-step explanation:
14p and 3p have the same variable
8 pencils and one eraser cost $1.35 and 6 pencils and one eraser cost $1.05. How much does one pencil cost?
Answer:
one pencil cost $0.15
Step-by-step explanation:
Please can anyone help?
Answer:
x=4.44
Step-by-step explanation:
1st step: multipy both sides by -4
x(-4) divided by -4 = (-1.11)(-4)
x(-4) divided by -4 = 1.11*4
11.4*4=4.44
(9c^2 + 3c + 9) - (9c^2 + 2c + 7)
Answer:
c+2
Step-by-step explanation:
Distribute the Negative Sign:
=9c2+3c+9+−1(9c2+2c+7)
=9c2+3c+9+−1(9c2)+−1(2c)+(−1)(7)
=9c2+3c+9+−9c2+−2c+−7
Combine Like Terms:
=9c2+3c+9+−9c2+−2c+−7
=(9c2+−9c2)+(3c+−2c)+(9+−7)
Answer:
c + 2
Step-by-step explanation:
(9c² + 3c + 9) - (9c² + 2c + 7)
9c² + 3c + 9 - 9c² - 2c - 7
9c² + 3c + 9 - 9c² - 2c - 7
c + 2
Example 5 Given m angle7=38^ and m angle10=102^ the measure of each missing angle
angle 1 - 78
angle 2- 102
angle 3- 78
angle 4- 102
angle 5- 38
angle 6- 142
angle 8- 142
angle 9- 78
angle 11- 78
angle 12- 102
angle 13- 38
angle 14- 142
angle 15- 38
angle 16- 142
I WILL MARK U BRAINLIEST ANSWERRRRRR PLS
Answer:
11000
Step-by-step explanation:
Keep the ratio and multiply. I will explain more later but you needed the answer
Answer:
The answers are correct so what do I do now?
Step-by-step explanation:
Please mark as brainliest
What is the value of x? 2.5x=35 Answer ASAP
Answer:
14
Step-by-step explanation:
x=35÷2.5 will devide 35 by 2.5 to get x
Answer: x = 14
Step-by-step explanation: To find the value of x, you can simply divide 35 by 2.5, which gives you a final result of 14. Therefore, x = 14.
*Tip: To divide whole numbers by decimals or decimals by decimals, then you’ll have to just divide regularly and align the decimal point where it originally was, as shown in the bracket where the dividend is.
-4/5 x -7/6
Please help!
Answer:
0.93333333333
Step-by-step explanation:
-4/5 = 0.8
-7/6 = 1.16666666667
-1.16666666667 x -0.8 = 0.93333333333
-3x + 7 y = -16
-9x + 5y = 16
Answer:
x = -4y = -4Step-by-step explanation:
-3x + 7y = -16 (-3) to eliminate x
-9x + 5y = 16
9x - 21y = 48
-16y = 64
y = 64/-16
y = -4
substitute y= -4 into eq. 1
-3x + 7y = -16
-3x + 7(-4) = -16
-3x = -16 + 28
x = 12 / -3
x = -4
check:
-3(-4) + 7(-4) = -16
- 16 = -16 ok
-9x + 5y = 16
-9(-4) + 5(-4) = 16
16 = 16 ok
Answer:
x=44/3, y=4
Step-by-step explanation:
Assuming you have to solve for x and y
-3x+ 7y = -16 (1)
-9x+ 5y =16 (2)
multiply (1) by -3 and add it to (2)
9x-21y=48
-9x+5y=16
Add up and get
-21y+5y=48+16 combine like terms
16y=64 divide both sides by 16 and get
y=4
Substitute y=4 in (1)
-3*x+7*4=-16
28+16=3x
44=3x
x=44/3
Which values of k are solutions to the inequality?
k>12
Select each correct answer.
k = 11.9
k = 12.1
k = 13.0
k = 19.9
k = 10.2
Answer:
B: k = 12.1
C: k = 13.0
D: k = 19.9 ARE THE CORRECT ANSWERS
Step-by-step explanation:
Answer:B: k = 12.1
Step-by-step explanation:
Hansika paid $9.25 for 2.8 pounds of pretzels. About how much did she pay for a pound of pretzels? ( Round your answer to the nearest whole number )
$2.00
$3.00
$4.50
$5.00
Answer:
3.00
Step-by-step explanation:
Rounding down
Answer:
$3.00
Step-by-step explanation:
shaminapodiepooo
Urgent!! Find the length of B by using the Pythagorean Theorem
Answer:
Step-by-step explanation:
24^2 + b^2 = 40^2
576 + b^2 = 1600
b^2 = 1024
b = 32
32
Step-by-step explanation:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
a= 24 , b= b , c=40
In order to find b, you have to change the equation a bit. Your new equation will look like [tex] {c}^{2} - {a}^{2} = {b}^{2} [/tex]
here is the step by step now
[tex] {40}^{2} - {24}^{2} = {b}^{2} [/tex]
[tex] {1600} - {576} = {b}^{2} [/tex]
[tex] {1024} = {b}^{2} [/tex]
**now you need to take the square root of both sides and you get 32**
You are looking for your first credit card. You plan to use this credit card only for emergencies and to pay the credit card balance in full each month. Which credit card feature is most important?
a.
No annual fee
b.
Low APR
c.
Generous rewards program
d.
No balance transfer fee
Please select the best answer from the choices provided
A
B
C
D
Answer:
A No Annual Fee
Step-by-step explanation:
Edge 100%
Pappi
Properties to solve an equation
Each sentence shows the number of pages a student reads a book and the amount of time it takes to read those pages.
Answer:
65 mins
Step-by-step explanation:
I well help anyone because I’m a hero and I well always be one thanks to all of you
Determine whether f(x) = 4x^2 – 16x + 6 has a maximum or a minimum value and find that value.
a
maximum; –10
b
minimum; –10
c
maximum; 2
d
minimum; 2
Answer:
minium:-2................
The function f(x) = 4x² – 16x + 6 has a minimum value is –10 when the value of x is 2. Then the correct option is B.
What is differentiation?
The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
The function is given below.
[tex]f(x) = 4x^2 -16x + 6[/tex]
Differentiate the function, then we have
[tex]\dfrac{d }{dx} f(x) =\dfrac{d}{dx}(4x^2 -16x + 6) \\\\ \dfrac{d }{dx} f(x) =8x - 16 \\[/tex]
The value of x will be
[tex]8x - 16 = 0\\x = 2[/tex]
Then again differentiate the function, if the value comes negative then maxima and if the value is positive then minima.
[tex]f''(x) = \dfrac{d }{dx} f'(x) \\\\f''(x)=8x - 16 \\\\f''(x) = 8\\\\ f''(x) > 0[/tex]
Then the function is minimum at 2.
More about the differentiation link is given below.
https://brainly.com/question/24062595
What is the greatest common factor of 72 and 34?
Answer:
2 is GCF
Step-by-step explanation:
The greatest common factor of 72 and 34 is 2
What is greatest common factor ?
GCF means Greatest Common Factor.
By one examples we can understand this concept more easily.
We are taking four numbers 20,50,70,100.
By prime factorisation,
[tex]20 = 2 \times 2 \times 5 \\ 50 = 2 \times 5 \times 5 \\ 70 = 2 \times 5 \times 7 \\ 100 = 2 \times 2 \times 5 \times 5[/tex]
Here greatest common factor of 20,50,70 and 100 is [tex](2 \times 5) = 10[/tex]
So,GCF of 20,50,70 and 100 is 10.
Here numbers are 72 and 34
By prime factorisation,
[tex]72 = 2 \times 2 \times 2 \times 3 \times 3 \\ 34 = 2 \times 17[/tex]
So, greatest common factor of 72 and 34 is 2
So,GCF of 72 and 34 is 2
Greatest common factor related one more question:
https://brainly.com/question/11444998
#SPJ2
Pls help due tomorrow just numbers 7 - 12
Answer:
Step-by-step explanation:
7). 5.75% = [tex]\frac{5.75}{100}[/tex] = [tex]\frac{575}{10000}[/tex] = [tex]\frac{23}{400}[/tex]
10). [tex]16\frac{2}{3}[/tex] % = [tex]\frac{50}{3}[/tex] % = [tex]\frac{50}{300}[/tex] = [tex]\frac{1}{6}[/tex]
12). [tex]79\frac{5}{6}[/tex] % = [tex]\frac{479}{6}[/tex] % = [tex]\frac{479}{600}[/tex]
Now is you turn. You can do it!
given the side lengths
of 10, 24,26, determine whether the triangle is acute, right, obtuse or not a triangle.
Answer:
Right angled triangle
Step-by-step explanation:
Longest side = hypotenuse = 26
26² = 676
24² + 10² = 576+ 100
= 676
= hypotenuse²
As Pythagorean rule is satisfied, this makes an right angled triangle
CAN SOMEONE TRANSLATE THIS INTO NUMBERS PLZ ITS DUE IN 10 minutes
Twice a number plus nine is negative seventeen.
Answer:
2x+9=-17
Step-by-step explanation:
hopefully this helps :)
Answer: I’m not sure what the number is but it’s a negative number, probably somewhere around 26. Take 9 from it and you will get 17.
Step-by-step explanation:
An artist sculpted a scale model of a giraffe for the zoo gift shop. The artist used the scale 1 inch: 4 feet to create the scale model giraffe. The actual giraffe at the zoo is 20 feet tall.
How tall is the scale model giraffe in inches?
Enter your answer in the box.
inches
Answer:
The scale model giraffe is 5 inches tall.
Step-by-step explanation:
To determine the size of the giraffe sculpted by the artist, knowing that it has been built on a scale of 1 inch for every 4 feet, and knowing that the real giraffe in the zoo is 20 feet, the following calculation must be performed:
20 feet / 4 inches = X
5 = X
Therefore, the size of the giraffe sculpted to scale by the artist is 5 inches.
Which best describes the expression b(4-n)?
Answer:
4b−bn
Step-by-step explanation:
Can i have brainliest pls?
Which function represents exponential decay?
Answer:
the answer is c
Step-by-step explanation:
It appears that your thief is just as obsessive compulsive as you are. What is happening here is 'exponential decay' because the rate of decrease stays consistent from day-to-day. No matter how big your 'population' of jelly beans is on any given day, about 10% will vanish by the next day.
Please give me the correct answer.
Answer:
First ?: 4
Second ?: -6
Step-by-step explanation:
40-40=0, which leaves 4n left.
34-40=-6
The final answer would be n= 3/2.
solve each system of equations or inequalities by graphing
3x - 2y = 6
2x + y = 4
Answer:
x=2 y=0
Step-by-step explanation:
y=4-2x
3x-2y=6
3x-8+4x=6
7x-8=6
7x=14
x=2
y=4-4
y=0
When a stone is dropped in a pond, ripples are formed and travel in concentric circles away from where the stone was dropped. The equation of the least-squares regression line is Area = 0.010 + 3.141 (Time^2) . What is the predicted area, in cm2, of the circle 8 seconds after the stone was dropped?
A. 25.14cm^2
B. 50.27 cm^2
C. 64.01 cm^2
D. 201.03 cm^2
Answer: D.
Step-by-step explanation: calculator
Answer:
d) 201.03
Step-by-step explanation: