Answer:
96Consider the arithmetic sequence with a first term of 11 and sixth term of 21. What is the
sum of these first six terms?
The required sum of the first 6th term of an arithmetic progression is 96. Option D is correct.
Given that,
Consider the arithmetic sequence with the first term of 11 and the sixth term of 21. To determine the sum of these first six terms.
Arithmetic progression is the series of numbers that have common differences between adjacent values
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
First term a = 11
6th term = a + 5d
21 = 11 + 5d
5d = 10
d = 2
Now,
sum of the six terms, = 6 / 2{11 + 21}
= 3 (32)
= 96
Thus, the required sum of the first 6th term of an arithmetic progression is 96. Option D is correct.
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Add 2√2 + 5√3 - 7√5 and 3√3 - √2 + √5
Answer:
this is the answer hope that helps
if johny had 7 dollars and 45 cents and he got an apple for 3 dollars how much does he have left?
a . 4 dollars
b . 3 dollars
c . 4 dollars 45 cents
d . 3 dollars 45 cents
Answer:
C. 4 Dollar and 45 cent
Step-by-step explanation:
7.45 subtract 3.00 is 4.45
aka
7.00 subtract 3.00 which is 4.00 and add the 0.45
Answer:
c. I am writing extra stuff to be able to send it lol
Step-by-step explanation:
7 45 - 3 =4. 45
Susan is choosing tween two cell phone plans that offer the same amount of free minutes.
Plan A charges $29.99 per month with additional minutes costing $0.45
per minute.
Plan B charghes $39.99 a month with addtional minutes costing $0.40 per minute. If the equation for Plan A is
0.45x + 29.99 and the equation for plan E
is 0.40x+ 39.99, then how many addtional minutes, x, will it take for the two plans to cost the same?
Answer:
200
Step-by-step explanation:
You can simply just graph it and see where the points intersect, or you can do it algebraically.
0.45x+29.99=0.40x+39.99 subtract 29.99 both sides
0.45x=0.40x+10.00 subtract .40x both sides
0.05x=10.00 divide both sides by 0.05
x=200
Please help will mark branliest!!!!
Answer:
the answer is option B
[tex] {f}^{ - 1} ( \frac{1}{2} x - \frac{3}{2} )[/tex]
NO LINKS OR ASSESSMENT!
Part 1: State the Domain and Range of each graph in BOTH inequality and interval notation
Domain:
- 2 < x < 2 or x ∈ (-2, 2)Range:
-3 < y ≤ 5 or y ∈ (-3, 5]#2Domain:
1 ≤ x ≤ 5 or x∈ [1, 5]Range:
-2 < y ≤ 2 or y ∈ (-2, 2]#3Domain:
- 4 < x < 5 or x∈ (-4, 5)Range:
1 < y < 4 or y ∈ (1, 4)write the point slope form of: through (1,5), parallel to y=6x
Answer:
y=6x+10
Step-by-step explanation:
y=6x
y-5=6(x-1)
y-5=6x+5
+5 +5
----------------
y=6x+10
Function g can be thought of as scaled version of f(x) = |x|
What is the equation of g(x) ?
a.) g(x)=3/2 | x |
b.) g(x)= -2/3 | x |
c.) g(x)= | x-3 | -2
d.) g(x)= | x-2| + 3
Answer3:3
Step-by-step explanation:
Answer: I guessed the first time but got it right the second time
5000 x 6 - 70 + 86 divided by 5
First to answer gets brainliest!!!
NO LINKS PLEASE!!!!
Answer:
30,016
Step-by-step explanation:
Answer: 6003.2
Step-by-step explanation:
The tables shows how many points Eduardo scored during each game.use mental math to find how many points he scored in the first three games. game,1, 52 points game 2 19 points game 3 26 points game 4 10 points
Answer:
First three games he scored 97 points
Step-by-step explanation:
2x+3y=24 in slope intercept form
Answer:
3y = -2x + 24
y = -2/3x + 8
Step-by-step explanation:
Answer:
The slope-intercept form is y=mx+b y = m x + b
Step-by-step explanation:
where m m is the slope and b b is the y-intercept. Subtract 2x 2 x from both sides of the equation. Divide each term by 3 3 and simplify. Divide each term in 3y=24−2x 3 y = 24 - 2 x by 3 3 .
Find the third degree polynomial function that has an output of 40 when x = 1, and has zeros - 19 and -i?
Answer:
f(x) = x³ + 19x² + x + 19
Step-by-step explanation:
Zeros: -19 , -i, complex conjugate root: +i
Function: (x+19)(x+i)(x-i) = 0
(x + 19) (x² - i²) = (x + 19) ( x² + 1) = x³ + 19x² + x + 19
check: when x = 1
f(1) = 1 + 19 + 1 +19 = 40
can u tell me if i did this right?
3(0.5 - p) - 4(p - 0.75); p = 2
Answer:
Negative 9.5
Step-by-step explanation:
3(0.5 - 2) - 4(2 - 0.75)
3(-1.5) - 4(1.25)
-4.5 - 5
-9.5
HELPPP PLEASEEEE 13% want to be doctors or nurses .
Can someone check my work if it’s right or not?
Answer:
Its correct good job
Step-by-step explanation:
PLZ HELP ME ON THIS QUESTION GUYS!!
a) 3.2a, -4 1/3a, -a
b) -2.133a+6
HELP ME OUT PLEASE!
A company charges a delivery fee of $50 to deliver plotting soil and each cubic yard of plotting soil costs $50
Based on this information, which graph best shows this relationship between the cost y, and the number of cubic yards, X?
The obtained coordinate points to plot the graph are matching with graph A. Therefore, option A is the correct answer.
Given that, a company charges a delivery fee of $50 to deliver plotting soil and each cubic yard of plotting soil costs $50.
What is graph?In mathematics, and more specifically in graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related".
Let the total cost be y and the number of cubic yards be x.
Now, the equation to represent the given situation is y = 50+50x
By substituting x = 0, 1, 2, 3, 4, 5,....we get
y = 50+50(0) = 50
y = 50+50(1) = 100
y = 50+50(2) = 150
y = 50+50(3) = 200
y = 50+50(4) = 250
So, the coordinates to plot the graph are (0, 50), (1, 100), (2, 150), (3, 200) and (4, 250) and so on.
The obtained coordinate points to plot the graph are matching with graph A. Therefore, option A is the correct answer.
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C. Again, assume that we can't produce more than 1,000 un necessarily some x value, let's call it C, for which the profit is exactly 0? Explain your answer. 2. For the following: A. Produce a function f(x) that satisfies the following conditions: 1. Its domain is all real numbers. 11. It has no maximum and no minimum on the interval (1, 3). III. It satisfies f(1) = 1 and f(3) = -1, but there does not exist a c between 1 and 3 such that f(x) = 0. B. Construct a function f(x) that satisfies the following conditions: C. fis continuous for all x.
Answer:
C. Yes, there is an x-value that is exactly zero. This is true because zero is our starting point in our profits. The x and y value would be (0,0) as we have just begun to produce energy units. Once the graph starts to increase, we cannot have a point at exactly zero, unless the profits have a dramatic drop to the x value of 0. This would then be (0, at a number of diminishing returns)
Step-by-step explanation:
I am not sure about number two sorry.
derivative of y=(3x+5)^3
[tex]\\ \sf\longmapsto \dfrac{dy}{dt}[/tex]
[tex]\\ \sf\longmapsto \dfrac{d}{dt}(3x+5)^3[/tex]
[tex]\\ \sf\longmapsto \{3(3x+5)\}^2[/tex]
[tex]\\ \sf\longmapsto (9x+15)^2[/tex]
[tex]\\ \sf\longmapsto 9x^2+2(9x)(15)+(15)^2[/tex]
[tex]\\ \sf\longmapsto 81x^2+270x+225[/tex]
Step-by-step explanation:
[tex]y=(3x+5)^3\\\\\dfrac{dy}{dx}=\dfrac{d}{dx}(3x+5)^3\\\\\dfrac{dy}{dx}=3(3x+5)^2×\dfrac{d}{dx}(3x+5)\\\\\dfrac{dy}{dx}=3(3x+5)^2×\dfrac{d}{dx}3x+\dfrac{d}{dx}5\\\\\dfrac{dy}{dx}=3(3x+5)^2×3+0\\\\\dfrac{dy}{dx}=9(3x+5)^2\\\\\dfrac{dy}{dx}=9(9x^2+25+30x)\\\\\dfrac{dy}{dx}=81x^2+270x+225[/tex]
PLS HELP ME undersand THIS
Answer:
I believe it is answer b.
Step-by-step explanation:
You multiply 4x and - 7 by 1/5 which gives you 4/5x and 1 2/5. You add 4/5x and 2/5x as they are like terms and get 1 1/5x. The equation then becomes 1 1/5 - 1 2/5
PLZ Will mark brainliest. What are the domain and range of each relation?
???? Helppppppppppppppp
3 unique numbers.
Small to big.
Rotate it upside down, and it
remains the same.
???
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What is greater -2 3/4 or -2.35
Answer:
2.35 is greater because it is the lowest negative numbers in the problem
-2 and 3/4 as a decimal is 2.75
Step-by-step explanation:
f(x)=2+|x-3| for all x than the value of the derivative of x=3 is
The derivative at x = 3 does not exist.
To see why, recall the definition of absolute value:
[tex]|x| = \begin{cases}x&\text{if }x\ge0\\-x&\text{if }x<0\end{cases}[/tex]
If x - 3 ≥ 0, then
2 + |x - 3| = 2 + (x - 3) = x - 1
and the derivative of this piece is 1 for all x > 3.
If x - 3 < 0, then
2 + |x - 3| = 2 - (x - 3) = 5 - x
and its derivative is -1 for all x < 3.
The derivatives to either side of x = 3 are not the same, so f '(x) is not continuous and indeed does not take on any value at this point.
Kelly bought a soda for three dollars and 7 candy bars when she went to the movies. She spent a total of $21. How much did each candy bar cost? Write out and solve. Show work
Answer:
$2.57
Step-by-step explanation:
Create an equation.
7x + 3 = 21
Subtract 3 from both sides of the equation.
7x = 18
Divide 7 from both sides to find x.
18/7 = x,
x = 2.57
Each candy bar costs 2.57 dollars,
Answer:
2.50
Step-by-step explanation
(21-3)/7
What does it mean to say two variables are positively associated
Answer:
A positive correlation is a relationship between two variables in which both variables move in the same direction. Therefore, when one variable increases as the other variable increases, or one variable decreases while the other decreases.
how to work 9f + 5 = 77
Hi There!
9f+5=77
Make sure all numbers are on the right side of the equation.
9f=77-5
9f=72
Now divide both sides by 9 to isolate f:
f=8
Hope this helps!
[tex]GraceRosalia[/tex]
Martin has 128 pencils that he is putting
into boxes. Each box holds 6 pencils. If he
puts all the pencils into boxes, how many
more pencils will he need to fill the last box
completely?
128 pencils divided by 6 pencils that can be put in a box; 128÷6=21 with a remainder of 3
Martin needs 3 more pencils for the last box, beacuse he has 3 leftovers and 6 can go into the box. 6-3=3
5) Vanessa and Javier each signed up for new gym memberships. Vanessa pays a monthly fee of $25 and
$2 per group class. Javier pays $6 per class and no monthly fee. How many classes do they have to take to
pay the same monthly rate?
Answer: 6.5 and 6
Step-by-step explanation: