In the arithmetic sequence {13, 6,-1,-8,...}, what is the common difference?
Enter your answer as a number, like this: 42
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Answer = -7════════════════════
Knowna = 13
U2 = 6
U3 = -1
U4 = -8
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Questiond = ..?
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Way to do#since it gives a lot of number, i will just pick one of the nth term, ill choose U2
Un = a + (n-1)d
U2 = 13 + (2-1)d
6 = 13 + d
6 - 13 = d
d = -7
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Note• The formula of arithmetic sequence
Un = a + (n-1)dn = nth term
a = first term
d = common difference
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Reflect the figure over the line y= -x -2
pls help no tutors know the answer!!
Answer: You'll have a quadrilateral with the following points
(5, -5)(4, -7)(6, -7)(8, -3)A diagram is posted below.
===================================================
Explanation:
The given quadrilateral has four unmarked points. I'll add the point labels A,B,C,D such that
A = (-3, 3)B = (-5, 2)C = (-5, 4)D = (-1, 6)I started at the lower right corner and worked my way clockwise.
----------------
Let's shift the line y = x-2 up two units so that it moves to y = x
We'll need to shift every point of the quadrilateral up two units as well.
So we have these new point locations after the shifting has occurred.
A' = (-3, 5)B' = (-5, 4)C' = (-5, 6)D' = (-1, 8)----------------
Now we need to reflect over the diagonal line. The rule to reflect over the line y = x is as simple as swapping the x and y coordinates.
So we can say [tex](x,y) \to (y,x)[/tex]
A point like (-3, 5) moves to (5, -3)
We have these new locations
A'' = (5, -3)B'' = (4, -5)C'' = (6, -5)D'' = (8, -1)----------------
The last thing to do is to shift everything down 2 units. This is to undo the first step we did when we shifted everything up by 2 units.
Doing this leads to these locations
A''' = (5, -5)B''' = (4, -7)C''' = (6, -7)D''' = (8, -3)Check out the diagram below.
|0-(-1/2)| evaluate
Answer:
21/2
Step-by-step explanation:
step 1: remove parentheses
10+1/2
step 2: calculate
21/2
(alternative forms: 10 1/2, 10.5)
9
2. What value of x makes the equation
3
113
=
true?
Answer:
i don't understand what your asking, but i hope this helps
Step-by-step explanation:
the process of ascertaining the variable value that makes the equation true is called 'solving' the equation. An equation is a verbalization that two quantities are equipollent. For exp/example:. x + 1 = 4 betoken that when we integrate 1 to the unknown value, 'x', the answer is equipollent to 4
The radius of a circle is 3 m. Find its area to the nearest tenth.The radius of a circle is 3 ft. Find its area to the nearest tenth.
Answer:
1st question answer is A = πr^2 2nd question answer is A≈28.27ft²
Step-by-step explanation:
A bicycle Rocco wants to buy is $282. If the sales tax rate is 4% of the total price how much sales tax will Rocco pay?
Answer:
he will pay 11.28 dollars. I hope it helps!
Answer:
Your answer would be $11.28
Step-by-step explanation:
if you find 4% of 282 you would get 11.28 so therefore it is your answer.
WILL MARK BRAINLIEST
Can someone please check my answer, if it’s wrong please correct me
Answer:
Yes
Step-by-step explanation:
It is symmetrical on the y-axis so must be.
Answer:
correct
Step-by-step explanation:
What is the remainder if f(x) = x^4- 5x2 - 6x - 10 is divided by x - 3?
A. 8
B. 44
C. -46
D. 224
Answer:
A) 8
Step-by-step explanation:
The remainder when f(x) = x⁴ + 0x³ - 5x² - 6x - 10 is divided by x - 3 is 18.
What is factor theorem?Factor theorem states that if x - a is a factor of f(x) then f(a) = 0.If f(a) ≠ 0 then x - a is not a factor of f(x).
To determine the remainder of f(x) = x⁴ + 0x³ - 5x² - 6x - 10 when divided by x - 3 which is x - 3 = 0 or x = 3 we have to replace the value of x in f(x).
∴ f(x) = x⁴ + 0x³ - 5x² - 6x - 10.
f(3) = (3)⁴ + 0(3)³ - 5(3)² - 6(3) - 10.
f(3) = 81 + 0 - 45 - 18.
f(3) = 18.
So, the remainder is 18.
learn more about factor theorem here :
https://brainly.com/question/24545336
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Write
22
3
as a mixed number.
Give your answer in its simplest form.
[tex]\frac{22}{3}[/tex] = 7[tex]\frac{1}{3}[/tex]
Hope this helps :-)
I need help solving for X and Y
Answer:
y = 4 ; x = 4√2
Step-by-step explanation:
This is a 45° 45° 90° triangle meaning the legs will equal each other and the hypotenuse will be equal to the length of the legs times √2.
find area of triangle
Please find the product of
(a^3-a^2)×7a
Answer:
The answer will be 7a⁴-7a³=7a. (4-3=1) using exponents property
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
The two triangles are related by
, so the triangles
.
9514 1404 393
Answer:
yes, the triangles are congruent -- by the SAS congruence postulate
Step-by-step explanation:
Two sides and the angle between them are marked congruent, so the Side-Angle-Side (SAS) congruence postulate applies.
The two triangles are SAS congruent.
Express the fraction 1/15^7 using a negative exponent
Answer:
I think its 15^-7
Step-by-step explanation:
you can forget about the one and just look at the 15 and 7 which you get 15^-7
The fraction (1/15)⁷ can be written as 15⁻⁷ after using the properties of the integer exponent.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The number expression is:
= (1/15)⁷
As we know, from the definition of the integer exponent; integer exponents are exponents that should be integers. It may be a positive or negative number.
After using the properties of the integer exponent:
= (15⁻¹)⁷
= 15⁻⁷
Thus, the fraction (1/15)⁷ can be written as 15⁻⁷ after using the properties of the integer exponent.
Learn more about the integer exponent here:
brainly.com/question/4533599
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which one is weight?
1 kg stone
1 kg cotton
Answer:
1kg stone
Step-by-step explanation:
Answer:
1kg stone is heavy so it is weight
PLEASE HELP THIS IS DUE TODAY AND I HAVE NO IDEA
Answer: 62.4
Step-by-step explanation:
6 times 5.20 times 1/2 = 15.6
15.6 times 4 = 62.4
3 x 6 + 3^3 + 4^3
plz help
Answer:
18x + 91
Step-by-step explanation:
Answer:
I believe it will be 118
Step-by-step explanation:
Hope this helps.
Jackie is buying crackers and wants to know how many crackers are in the box. The box is 8 cm long, 2.4 cm wide, and 60 cm high. The dimensions of the crackers are 3cm long, 4 cm wide, and 5 cm high. How many crackers are in the box? Round to the nearest whole number. Geometry
Answer:
19
Step-by-step explanation:
Number of crackers that can be fit into the box = volume of the box / volume of crackers
Volume = length x width x height
volume of the box = 8 cm x 2.4 cm x 60 cm = 1152 cm^3
Volume of the crackers = 3cm x 4 cm x 5cm = 60cm^3
1152/60 = 19.2
Rounding 19.2 to the nearest whole number gives 19
There are 90 girls and 60 boys in the sixth grade at a middle school of the students 9 girls and three boys write left-handed what percent of the 6th graders at this Middle School right left handed
I don’t now if u can see it very well but could anyone help me with this
Answer:
A and c
Step-by-step explanation:
If im correct A and C is the answer because A and C represent the vertical angles :)
Sixty is what percent of 30
Answer:
sixty percent of 30 is 200
katarina bought a package of 500 stickers are heart. The remaining stickers are stars
Where is the question?
Answer: There are 375 star stickers and 125 heart stickers.
There are 500 stickers with 20 stickers per sheet; 500/20 = 25 sheets of stickers.
25% of each sheet is hearts; 25/100(20) = 5 heart stickers per sheet. 5(25) = 125 total heart stickers.
20 stickers per sheet - 5 heart stickers per sheet = 15 star stickers per sheet. 15(25) = 375 total star stickers.
Pamela's age is two times Jiri's age. The sum of their ages is 84. What is Jiri's age?
Answer:
28
Step-by-step explanation:
28 times 2 = 56
28 times 1 = 28
56 + 28 = 84
Plot and label the point on the coordinate grid. E(5, 2)
Step-by-step explanation:
The answer is put x=2
Y=2
identify the slope and the intercept for the following inequality -2×-y
[tex]\Huge{\textbf{\textsf{{\color{navy}{ᴀɴ}}{\purple{ᴡs}}{\pink{ᴇʀ}}{\color{pink}{:}}}}}[/tex]
It's called the "y intercept" and it's the y value of the point where the line intersects the y- axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero.
Which equation has the greatest rate of change?
A.
y=2x+5
B.
y=x+6
C.
y= -5x+2
D.
y=2/3x+4
Find the missing length. If needed, round to the nearest tenth.
B
7
E
3
G
The value of x is 2
Answer:
Step-by-step explanation:
AB = BG
10 = 7+x
x = 3
Ron made 3 pitchers of lemonade to sell at a lemonade stand. The cost of making the lemonade is 50 cents per pitcher of lemonade.
He sold each cup of lemonade for 15 cents, and he sold a total of 36 cups of lemonade.
How much money did Ron make selling lemonade after paying out the cost of making the lemonade?
$ ___
Answer:
$3.90
The cost of making them all is 1.50 subtracted from the profit he made
if g(x)=f(1/3x), which statement is true?
A the graph of function f is Stretched vertically by a scale factor of 3 to create the graph of function g
B The graph of function F stretched horizontally by a scale factor of 3 to create the graph of function g
C The graph of the function F is compressed horizontally by a scale factor of 1/3 to create the graph of function G
D The graph of function F is compressed vertically by a scale Factor of 1/3 to create the graph function G
Answer:
Step-by-step explanation:
Hope this Helps ;)
a building in the shape of a rectangle is 120 feet long and 90 feet wide. if a fence is to be constructed along te diagonal of the lot, find the length of the fence in feet
Answer: The length of the fence will be 150 feet
Step-by-step explanation:
The question is asking you to find the hypotenuse of a rectangle with a length of 120 feet and a width of 90 feet. To find the hypotenuse we will need to use the formula a^2 + b^2 = c^2
120 feet will be a
90 feet will be for b
this is because a and b are the two legs of the rectangle.
120^2 + 90^2 = c^2
14400 + 8100 = c^2
22500 = c^2
c =√22500
c= 150