find all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4
n ∈ natural even numbers
Step-by-step explanation:
1 + 3 + 5 + 7 + … + (2n-1)
a = 1b = 2Uₙ = 2n - 1sum of the first n terms :
Sₙ = n/2(a + Uₙ)
Sₙ = n/2(1 + 2n - 1)
Sₙ = n/2(2n)
Sₙ = n²
∴ so, the solution of n is all natural even numbers
Refer to the attachment
What is the slope, m, of a line perpendicular to the line 2x+3y=6
Answer:
m = 3/2
Step-by-step explanation:
3y = -2x + 6
y = -2/3x + 2
Perpendicular slope = inverse = 3/2
what other information is needed to prove the two triangles congruent by sas?
Answer:
We know that one pair of sides and one pair of angles are congruent from the diagram. In order to know that the triangles are congruent by SAS we need to know that the pair of sides on the other side of the angle are congruent.
Step-by-step explanation:
HOPE IT HELPS :)
Owen is fishing. he starts with the bait 2 feet below the water. he reels out the bait 19 feet, then he reels it back in 7 feet. what is the final position of the bait
Answer:
the answer is 14
Step-by-step explanation
the math problem is just 2+19-7 or 21-7
Plz complete the table
Answer:
2 and 2
8 and 4
Step-by-step explanation:
Plug the respective x values in to find the y-values or use a GDC.
help!!! math-----
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The answer would be B and D because the slope stays consistent throughout the entire table unlike all of the other options.
Find the exponential function that satisfies the given conditions:
Initial value = 66, decreasing at a rate of 0.5% per week (5 points)
f(t) = 0.5 ⋅ 0.34t
f(t) = 66 ⋅ 1.5t
f(t) = 66 ⋅ 0.995t
f(t) = 66 ⋅ 1.005t
Answer:
C. f(t) = 66 * 0.995^tStep-by-step explanation:
Required function is:
f(t) = 66*(1 - 5/100)^t = 66*0.005^tThe matching option is C
please what's -4/5 - -3/5
Step-by-step explanation:
-4/5 - -3/5
-4/5 + 3/5
(-4+3)/5
=-1/5
the answer for -4/5 - -3/5 is −1/5
A fierce guard dog is tethered by a 15 m chain to a post that is 6 m from a straight path. For what distance along the path is a trespasser in danger from the dog?
The distance from the road where an intruder would be in danger is 27.48 m.
To know how far from the road an intruder is in danger due to the dog, it is necessary to carry out the following procedure:
Establish the range of the dog with a circle of 15 meters in radius around the post on which he is tied.
In this part it can be inferred that a part of the path is in the range of the dog between points B and D (In this area the intruder would be in danger)
From this we know the following data:
Length AB = 15mLength AD = 15mLength AC = 6mTo know the length of points BC and CD we must perform a calculation using the formula of the Pythagorean theorem.
BC = [tex]\sqrt{15^{2} - 6^{2} }[/tex]BC = [tex]\sqrt{225-36}[/tex]BC = [tex]\sqrt{189}[/tex]BC = 13,74 mLater we use the same procedure to find the length CD.
CD = [tex]\sqrt{15^{2} - 6^{2} }[/tex]CD = [tex]\sqrt{225-36}[/tex]CD = [tex]\sqrt{189}[/tex]CD = 13,74 mFinally, we add both lengths (BC + CD) to know the distance in which an intruder is in danger within the dog's range.
BC + CD = BD = 27,48 mLearn more in: https://brainly.com/question/14930619
Which equation represents a line with a slope of -1 that passes through (0, 4)?
Answer:
ajhbdlahv
Step-by-step explanation:
ajksl
Solve the simultaneous equations x + 3 y = 14
− x + 2 y = 6
Answer: x=2 y=4
Step-by-step explanation: elimination method attached below.
The y –intercept of the function is_____________.
A. (0,0)
B. (0,2)
C. (2,0)
D. none
Answer:
B
Step-by-step explanation:
(x,y)
(0,2)
the 2 lands on the y so therefor 2 is the y-intercept
i hope this helps :)
What is the missing value?
Answer:
I guess 5⁴ is Missing value
What is the slope of the line that goes through the points (9.4) and (3,6)?
(m= ..?)
how many 5 digit numbers can be formed using all the digits 1, 2, 3, 4, and 5, such that the number is odd and greater than 40000?
Answer:
25
Step-by-step explanation:
Mai sold t- shirts at a festival and made a profit of $83. She made $5 for each t-shirts she sold. Her total expenses were. How many t-shirts did she sell
Answer:
21 T-shirts, (this is just a thought of what i think i need to do) Hope it helps
Step-by-step explanation:
I think iv seen this question somewhere so did u forget to put 22?
Here is the explaination if u did...
5T -22 = 83
revenue minus expense = profit
5T = 83+22 = 105
T = 105/5 = 21 T shirts sold
In 1846 the depth of the river was 5 feet deep. In 1847 it dropped to 3.2 feet. This year, 1848, it rose to 6.8 feet. Find the percent for EACH change in river depth
Answer:
1846= 0% change
1847= 3.2/5 ×100 = 64% decrease in river
1848= 6.8/3.2 ×100 = 212.5% increase
( used 3.2 because that was the last record)
Could someone please help answer this, please no spam, thank you will give brainliest, (homework help)!
Answer:
[tex]3b + 3 < - 18 \\ 3b + 3 - 3 < - 18 - 3 \\ 3b < - 21 \\ 3b \div 3 < - 21 \div 3 \\ b < - 7[/tex]
I hope I helped you^_^
8x - 3x + 2 - x = ax + b
solve for b
Answer:
b = -ax + 4x + 2
Step-by-step explanation:
8x - 3x + 2 - x = ax + b
~Combine like terms
4x + 2 = ax + b
~Subtract ax to both sides
4x - ax + 2 = b
~Rewrite
b = -ax + 4x + 2
Best of Luck!
A bee colony produced 0.5 pounds of honey, but bears ate 0.2 pounds of it. How much honey
remains?
Answer:
0.3 pounds
Step-by-step explanation:
[tex]0.5 - 0.2 = 0.3[/tex]
 please help me quickly
no random links i will report :)
Answer:
B
Step-by-step explanation:
PLEASE HELP QUICK! 50 POINTS IF YOU HELP!!
I WILL GIVE PERSON BRAINLY IF THEY GET IT RIGHT!!!
match the equations of the lines with their graphs.
Answer:
Assuming the graphs are abcd, 1 is b, 2 is c, 3 is a, and 4 is d.
Step-by-step explanation:
A serving of rice is 3/4 of a cup. How many servings are there in a 3 3/4-cup bag of rice?
Answer:
16 I think
Step-by-step explanation:
Find the y-intercept of the line on the graph.
Answer:
The y-intercept is 0
Step-by-step explanation:
The line crosses the y-axis at the center, 0. Therefore the y-intercept is 0.
Answer: -1
Step-by-step explanation:
A cube has a side length of 12 inches. The cube is divided into 8 equal sized sections. What
is the volume of each section?
Answer:
216 cubic inches
Step-by-step explanation:
To find the volume of just the cube:
12 x 12 x 12 = 1728
then to find the volume of the section:
1728/8 = 216
If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete sentences
Is this list of numbers an arithmetic sequence?
18,16,14,12,10,…
Answer:
YesStep-by-step explanation:sequence of numbers such that the difference between the consecutive terms is constant.
the constant is 2 (Ex. 18-2=16-2=14....) and your answer is
yes
A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (0, 4) and (1, 1) The second line is labeled y - g(x) and is horizontal passing through (negative 2, 2), (0, 2), and (2, 2). The lines intersect at a point that is slightly to the right of (0.5, 2).
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.
x =
Answer:
2/3 My guy
Step-by-step explanation:
Answer:
The completeness property for points in the plane tells us two things
Exactly one point in the plane is named given the numbers of the ordered pair and
Exactly one ordered pair of numbers names a given point in the plane.
To graph a point one draws a dot at the coordinates that corresponds to the ordered pair. It's always a good idea to start at the origin. The x-coordinate tells you have many steps you have to take to the right (positive) or left (negative). And the y-coordinate tells you have many steps to move up (positive) or down (negative).
To find out the coordinates of a point in the coordinate system you do the opposite. Begin at the point and follow a vertical line either up or down to the x-axis. There is your x-coordinate. And then do the same but following a horizontal line to find the y-coordinate.
A relation is a set of ordered pairs. The first coordinate (usually the x-coordinate) is called the domain and the second (usually the y-coordinate) is called the range. If you remember from earlier chapters the domain contains values that correspond to the independent variable whereas the range contains values corresponding to the dependent variable.
Step-by-step explanation:
In today’s lesson you voted a sheet of paper multiple times. Identify the rectangles that were scaled copies of your original rectangle sheet of paper. Use the image to help.
PLS FINDD THIS THIS IS DUE IN 10 MINNNNNN!!! PLEASE DO WITH CLEAR STEPSS!!! I'LL MARK U BRAINLIEST
Answer:
There is no question to answer.
Step-by-step explanation:
Answer:
Where is the question ?