Answer:
15
Step-by-step explanation:
The pertinent general formula for this arithmetic progression is
a(n) = a(1) + d(n - 1), where d is the common difference. That difference is d = 4.
Here, a(n) = -5 + 4(n -1)
Therefore, a(6) = -5 + 4(5) = 15
Answer:
It is 15.
Step-by-step explanation:
Alright, first lets find the pattern. Since its a arithmetic sequence, it has something to do with adding/subtracting.
With the values, -5, -1, and 3. Notice something about them? -1 is 4 more than -5 & 3 is 4 more than -1. There's a pattern! The pattern is that for every new term, it is 4 more than the one before it.
With this, we can make a table to find the 6th term!
(Given)
1st Term: -5
2nd Term: -1
3rd Term: 3
Now, continue adding 4 to each term...
4th Term: 7
5th Term: 11
6th Term: 15
For the 6th term, it has been found that the answer's 15.
4. Solve the following inequality for b, showing all of your work carefully and completely
4b - 12 - 55 < 9b +8
Answer:
b > -15
Step-by-step explanation:
4b - 12 - 55 < 9b + 8
Combine terms.
4b - 67 < 9b + 8
Subtract 9b from both sides.
-5b - 67 < 8
Add 67 to both sides.
-5b < 75
Divide both sides by -5. When dividing by a negative, flip the sign.
b > -15.
lets find the answer
Answer:
(-3,0)
Step-by-step explanation:
1) find the coordinate of x
x = -3
2) find the coordinate of y
the point lies on x axis so y = 0
The coordinates are (-3, 0)
:)
IF YOU ANSWER WITH A LINK ILL REPORT IT;)
PLEASE PLEASE PLEASE HELP ME!!!!!!!
The order of rotation for a regular hexagon is Question options:
A)
8.
B)
7.
C)
6.
D)
5.
Answer:
D. 6
Step-by-step explanation:
Because a hexagon has 6 sides and when fully turned, it spin 360 degrees which is a whole circle!
Answer:
6
Step-by-step explanation:
Please answer correctly! I will mark you as Brainliest! Please No links or any joking around or I will call and report you!
Answer:
0, -3
Step-by-step explanation:
So remember, when they say reflect over the x intercept, they do not mean to reflect the x value, they mean to reflect over the hirzontal line of the graph.(x axis)
This is the same with reflection over the y intrecept. This doesnt mean y is flipped, this means that whatever point or line you have is reflected over the vertical line on the graph(y axis)
So our orginal value is (0, 3). We need to reflect over the x axis, which means that y will now be -3, since that is the opposite of what we can see when we flip the x axis.
The 0 x, of course, stays the same since its 0.
So your answer is (0, -3)
Hope this helps! :)
U have $77 in your bank account than you write a check for $100 at the store how many do I have now? Please show work
Answer:
$-23
77 - 100 = -23
The cost (c) for g number of gelato ice cream is shown in the table. Complete the table and graph the proportional relationship between the number of gelatos purchased and the total cost.
g c
2 8
5
6
8
Which of the following is not an axiom about lines in the plane
Answer:
If two planes intersect, then their intersection is a line.
4. M is the midpoint of XY. If XM = 8-t and MY = 5t-10, find tand XY.
Answer:
XY = 10
Step-by-step explanation:
By the definition of midpoint, XM would be equal to MY, so we can set both equations equal to each other;
XM = MY
8 - t = 5t - 10
=> Now add "t" to both sides of "="
8 = 6t - 10
=> add 10 from each side;
18 = 6t
=> Finally divide 6 on each side
3 = t
Now that we have the value for t, we can substitute 3 in place of "t" in any of the equation above and solve, when we have the answer, multiply it by 2 to get the value for XY.
=> 8 - 3
=> 5
=> XY = 5 * 2
=> XY = 10
Hope this helps!
10 Students were surveyed.
How many hours do you study a week?
8 2 2 6 14 10 3 5 4
Determine the following:
A) Mean
B) Mode
C) Median
Show work please
Will mark brainlisted
Answer:mode
Step-by-step explanation:5+4+9+9+3+75+1=mode
a car travels a distance and of 180 km in 2 hours on a straight road .how many km can it travel in 3 hours at the same speed
Answer:
270 KM
Step-by-step explanation:
180 divided by 2= 90
90*3= 270
Markus is overdrawn at the bank by $9. His brother has $15 more than him. How much money does Markus’ brother have?
Answer:
24$
Step-by-step explanation:
its just 9$ + 15$ = 24$
PLEASE HELP ASAP!!!
Answer:
4. x=0 x=5
5. x=-4 x=8
find mKML
mKML=
HURRYY!!!
Answer:
42˚
Step-by-step explanation:
Answer:
42°
Step-by-step explanation:
Theorem of isosceles triangle says that the two adjacent angles that are not connected by two congruent lines are congruent.
Simple words:
L is the angle connected by both lines with the "ticks"
So that means K and M are congruent
Since K = 42°
M = 42°
Fun fact: If the angle name is something like ABC, the angle is technically B, because B is the vertex.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A line passes through the origin and the point (3.5). What is the slope of the line? 0
3/5
-3/5
5/3
Answer:
5/3 is the slope of the line.
what is the product of (3Y^-4) (2Y^-4)
Answer:
the product is 6/Y^8
Step-by-step explanation:
help me out please real answers only (20 points)
Answer:
hope this will help
if correct please give brainliest
Four fifths of the 35 kittens finish their milk how many did not finish their
Answer:
7 kittens did not finish their milk
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Help please!!
and Thank you!!
Find the surface area.
Answer:
2411.52 mm²
Step-by-step explanation:
[tex]40^{2} =32^2+d^2[/tex]
→ [tex]d^2= 1600-1024[/tex]
→[tex]= 576[/tex]
→ [tex]d= 24[/tex] [tex]so, (radius=12[/tex]
[tex]Total~ surface ~ area= (2\pi r)*height[/tex]
→ [tex](2*3.14*12*82)[/tex]
[tex]= 2411.52 mm^2[/tex]
-------------------------------
hope it helps...
have a great day!!
Answer:
2411.52 mm²
Step-by-step explanation:
hope its helpful
What is the perimeter of triangle PQR.
5 units
10 units
√5+3 √2units
2 √5 + √10 units
Answer:
Opps i am really sorry i donot know it
Answer:
Step-by-step explanation:
It's 5 units
A lidless box is constructed by cutting a square with side length x from a rectangular sheet of paper with dimensions a x b. After the cut is removed, the sides are folded up to form the
box.
a) Find the value of x (in terms of a and b) that maximizes the volume of the box.
b) Find the value of x that maximizes the volume of the box when a = 8.5 inches and b= 11 inches.
Answer:
a) [tex]x =\dfrac{a+b -\sqrt{(a + b)^2 - 3\cdot a \cdot b} }{6}[/tex]
b) The volume of the box is maximized when 'x' is approximately 1.585 feet
Step-by-step explanation:
a) Let 'a' represent the length of the rectangular sheet of paper and let 'b' represent the with of the rectangular sheet of paper, we have;
The length of the side of the square cut from the corners of the rectangular sheet of paper = x
The length of the box formed after cutting the square sides are;
The length of the box, l = a - 2·x
The width of the box, w = b - 2·x
The height of the box, h = x
The volume of the box, V = l × w × h = (a - 2·x)·(b - 2·x)·x = 4·x³ - 2·a·x² - 2·b·x² + a·b·x
The value of 'x' that gives the maximum volume of the box is given by finding the extremum of the volume, 'V', of the box as follows;
At the extremum, dV/dx = 0
∴ d(4·x³ - 2·a·x² - 2·b·x² + a·b·x)/dx = 12·x² - 4·a·x - 4·b·x + a·b = 0
12·x² - 4·(a + b)·x + a·b = 0
[tex]x = \dfrac{4\cdot (a + b) \pm \sqrt{(-4\cdot (a + b) )^2-4 \times12\times a \cdot b } }{2 \times 24} =\dfrac{a+b\pm\sqrt{(a + b)^2 - 3\cdot a \cdot b} }{6}[/tex]
Found from part (b), the value of 'x' (in terms of 'a' and 'b') that maximizes the volume of the box is [tex]x =\dfrac{a+b -\sqrt{(a + b)^2 - 3\cdot a \cdot b} }{6}[/tex]
b), When a = 8.5 inches and b = 11 inches, we have;
x = (8.5 + 11 +√((8.5 + 11)² - 3×8.5×11))/6 = 4.914
x = (8.5 + 11 -√((8.5 + 11)² - 3×8.5×11))/6 ≈ 1.585
We get;
When x = 1.585, V = 4·1.585³ - 2·8.5·1.585² - 2·11·1.585² + 8.5·11·1.585 ≈ 66.15
When x = 4.914, V = 4·4.914³ - 2·8.5·4.914² - 2·11·4.914² + 8.5·11·4.914 ≈ -7.65
Therefore, the value of 'x' that gives the maximum volume of the box is x = (8.5 + 11 -√((8.5 + 11)² - 3×8.5×11))/6 ≈ 1.585
(The value of 'x' in terms of 'a' and 'b' is therefore;
[tex]x =\dfrac{a+b -\sqrt{(a + b)^2 - 3\cdot a \cdot b} }{6}[/tex])
The volume of the box is maximized when, x ≈ 1.585 feet
2x + 2y = -2
3x - 2y = 12
Answer:
Answer:
(2,-3)
Step-by-step explanation:
2x + 2y = -2
3x - 2y = 12
Add the two equations to eliminate y
2x + 2y = -2
3x - 2y = 12
-----------------------
5x = 10
5x/5 = 10/5
x = 2
Now find y
2x+2y = -2
2(2)+2y = -2
4+2y = -2
Subtract 4 from each side
4-4 +2y = -2-4
2y = -6
Divide by 2
2y/2 = -6/2
y = -3
(2,-3)
7
Which equation can be used to describe the relationship between x and y shown in the graph
below?
3x + 2
D-3x - 6
D
3-6
D3X2
Triangle DEF is shown on the coordinate grid below triangle DEF is reflected across the Y axis which role best describes this transformation
Answer:
I can’t see the picture
Step-by-step explanation:
Please Help I Have 15 minutes left!!!
You bought a new computer for $1500. Unfortunately it depreciates in value by 18% each year. Write an equation that would indicate the value of the computer after t years.
Answer:
y= 1500 -18t
Step-by-step explanation:
1500 is the number you are going to be subracting from so it goes first and 18 is the t because it decreases every year
Lol, it seems like nobody helps anyone here anymore. It’s just full of bots
Answer:
Nah i gotcha, I'm always helping around people, as long as i understand the question myself Imfao
A person is wearing a bracelet with 11 settings around the bracelet. How many different ways can 12 birthstones be
arranged around the bracelet?
O 10!
11!
O 12!
Answer:
10
Step-by-step explanation:
I think I hope this helps
Solve n/6=14/42 for the unknown quantity, n
solve the system by substitution
5x+y=-14
5x- 3y=2
Answer:
x=-2 and y=-24
Step-by-step explanation:
plug in the value of y (-5x-14) into the second equationin a class of 25 students, 18 were math majors, 12 were computer science majors, and 7 were dual majors in math and computer science.
A)How many students were majoring in math only?
B)How many students were not majoring in computer science?
C) how many students were not math or computer science majors?
Answer:
Use n(u) formula of chapter sets
Step-by-step explanation:
Have a good day
11 students were majoring in math only; 13 students were not majoring in computer science; and 2 students were not math or computer science majors.
Given that in a class of 25 students, 18 were math majors, 12 were computer science majors, and 7 were dual majors in math and computer science, to determine A) how many students were majoring in math only; B) how many students were not majoring in computer science; and C) how many students were not math or computer science majors; the following calculation must be performed:
Math majors only = 18 - 7 = 11 Not majoring in computer science = 25 - 12 = 13 Not math or computer science majors = 25 - 7 - 11 - (12 - 7) = 18 - 11 - 5 = 2
Therefore, 11 students were majoring in math only; 13 students were not majoring in computer science; and 2 students were not math or computer science majors.
Learn more in https://brainly.com/question/20293703
Is x=2 a solution to the equation below?
4(x-1)-3(x-2)=-8
Answer:
No
Step-by-step explanation:
To find out if 2 is a solution, replace all the x's with 2.
4(2 - 1) - 3(2 - 2) =8
4(1) - 3(0) = 8
4 - 0 = 8
4 = 8
Nope! False! 2 is not a solution.