Answer and explanation:
Given two natural numbers n and n+3, we prove that the difference or their squares is even thus:
(n+3)²-(n)²= (n+3)(n+3)-(n)²
=n²+3n+3n+9-n²
=6n+9
Since the value of the difference of square of the natural numbers n and n+3 is in the form 6n+9, the difference is not an even number.
Jenny bough 4 combo packs of popcorn and candy for 32$ at the movie theater, what was the cost of each pack?
Answer:
$8
Step-by-step explanation:
Each pack includes one pack of popcorn and one pack of candy. Since Jenny bought 4 packs, and it cost $32 in total, the equation will look like:
4x = 32
To solve this you divide 4 into each side of the equation:
4x = 32
---- ----
4 4
x = 8
The answer is 8.
Hope this helped.
The fan below has been stretched open as far as it will go to form a semi-circle.
Each of the eighteen sectors formed by the fan consists of the same amount of fabric. The length of
each wooden rod that connects the center of the fan to its edge is 12 cm. The wooden rods are
glued to the fabric forming the fan. Determine the approximate area of each sector.
Answer:
Area of each sector=[tex]12.6cm^2[/tex]
Step-by-step explanation:
We are given that
Length of each wooden od that connects the center of the fan to its edge ,r=12 cm
Total number of sectors=18
We have to find the approximate area of each sector.
Area of semi-circle=[tex]\frac{1}{2}\pi r^2[/tex]
Using the formula
Area of fan=[tex]\frac{1}{2}\pi (12)^2=72 \pi cm^2[/tex]
Area of each sector=[tex]\frac{area\;of\;fan}{Total\;number\;of\;sectors}[/tex]
Area of each sector=[tex]\frac{72\pi}{18}=\frac{72\times 3.14}{18} cm^2[/tex]
Where [tex]\pi=3.14[/tex]
Area of each sector=[tex]12.56cm^2\approx 12.6 cm^2[/tex]
Need helppppp asappppp
it´s a polygon. letter c (decagon) should be right
hope it helps :)
The domain for f(x) and g(x) is all real numbers.
Let f(x) = x2 + 1 and g(x) = x4 − 1.
Find f · g.
A.
x6 + x4 − x2 − 1
B.
x4 + x2 − 1
C.
x8 + x4 − x2 + 1
D.
x6 − x2 − 1The domain for f(x) and g(x) is all real numbers.
Answer:
A
Step-by-step explanation:
(f*g)(x) = f(x) * g(x)
=(x2+1)(x4-1)=x6-x2+x4-1
see question in image
Answer:
Total outcomes with two dice is:
6*6 = 3638Outcomes with sum of 7:
1 &6, 2&5, 3&4, 4&3, 5&2, 6&1 - total of 6Probability:
P(sum of 7) = 6/36 = 1/639Outcomes with sum of 5 or 10:
1&4, 2&3, 3&2, 4&1, 4&6, 5&5, 6&4 - total of 7Probability:
P(5x) = 7/3640Outcomes with same numbers:
1&1, 2&2, 3&3, 4&4, 5&5, 6&6 - total of 6Probability:
P(same) = 6/36 = 1/6toán lớp 8
giải bất phương trình: 2x + 2 > 4
Answer:
x>1
Step-by-step explanation:
Answer:
x>1
I hope it will help you
Please help will give brainliest
[tex]x {}^{2} + 17x + 30[/tex]
Factorising It[tex]x {}^{2} + 2x + 15x + 30 \\ \\ = x(x + 2) + 15(x + 2) \\ \\ = (x + 2)(x + 15)[/tex]
[tex] \therefore[/tex] A= 2 And B= 15
Hope This Helps You ❤️Helppppp pleaseeee anyoneeeee
When a potential difference across a resistor is 2.0 V with a current of 1.5 A. What is its resistance?
V = IR
2 = 1.5 x R
R = 2 / 1.5
R = 1 1/3 ohms
Hope this helps!
What is the surface area of the sphere below?
A. 324pi units^2
B. 324pi^3 units^2
C. 36pi units^2
D. Cannot be determined
Answer:
C. 36π units²
Step-by-step explanation:
Surface area of a sphere: 4πr²
[tex]4\pi r^2\\4\pi (3)^2\\4\pi (9)\\36\pi[/tex]
Find the measurement of the angle diagonal indicated in the following parallelogram
Answer:
24units
Step-by-step explanation:
From the parallelogram given, we can see that the line FH bisects EG at V. Hence;
GE = 2GV.
Given that
GV = 12
GE = 2(12)
GE = 24
Hence the measure of the length GE is 24units
Borgir?
Plz answer, I'll give brainliest...
Answer:
What do uh mean?.......
Can someone help me out please
Answer:
12
Step-by-step explanation:
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hjcjc
Answer:
Step-by-step explanation:
pi = 3.14
r = 11 yds
Formula
Area = 4 pi r^2
Solution
Area = 4 * 3.14 * 11 ^2
Area = 1519.76
Area = 1519.8 rounded to the nearest 1/10
helpppp: write the rule that describes the composition of transformations
môt lâm trường lập kế hoạch trồng 1 số ha rừng, theo đó mỗi tuần lâm trường phải trồng 15ha. Trên thực tế nhờ cải tiến kĩ tuật, lâm trường đã trồng được 20ha mỗi tuần. Do đó, lâm trường khong những đã hoàn thành kế hoạch trước thời hạn 1 tuần mà còn trồng thêm được 5ha rừng. Hỏi theo kế hoạch, lâm trường phải trồng bao nhiêu ha rừng?
Step-by-step explanation:
mình nghĩ là như vầy. Chúc bạn học tôt :))))
How do I find x ………..
Answer:
x = 94
Step-by-step explanation:
The sum of the 4 angles in a quadrilateral = 360°
Sum the 4 angles and equate to 360
x + x + 2x - 75 + x - 35 = 360
5x - 110 = 360 ( add 110 to both sides )
5x = 470 ( divide both sides by 5 )
x = 94
Please help explanation if possible
Answer:
45
Step-by-step explanation:
a44 = 2 + (43 × 1) = 2 + 43 = 45
Find the distance across the lake. Assume the triangles are similar.\
A. 300 m
B. 425 m
C. 210 m
D. 283 m
Answer: A. 300 m
Work Shown:
L/100 = 15/5
5L = 100*15
5L = 1500
L = 1500/5
L = 300
Three consecutive integers have a sum of -42. Write and solve an equation to find the three integers.
x + ( x + 1 ) + ( x + 2 ) = -42
Opening the brackets and simplifying :
x + x + 1 + x + 2 = -42
3x + 3 = -42
Now , solving equation :
[tex]\bf \rightarrow \: \:3x \: + \: 3 \: = \: -42[/tex]
[tex]\bf \rightarrow \: \: 3x \: = \: -42 \: - 3[/tex]
[tex]\bf \rightarrow \:3x \: = \: -45 \: [/tex]
[tex]\bf \rightarrow \:x \: = \: \frac{ - 45}{ \: 3} \\ [/tex]
[tex]\bf \rightarrow \:x \: = \: \cancel\frac{ - 45}{ \: 3} \: \: ^{ - 15} \\ [/tex]
[tex]\bf \rightarrow \:x \: = \: - 15[/tex]
[tex]{\boxed{ \Large{ \red{ \rm{ \underline{ Now \: \: substitute}}}}}}[/tex]
[tex]\bf \implies \: \:x \: = \: - 15[/tex]
[tex]\bf \implies \: \:x \: + \: 1 \: = \: - 15 \: + \: 1 \: = \: - 14[/tex]
[tex]\bf \implies \: \:x \: + \:2 \: = \: - 15 \: + \: 2 \: = \: - 13[/tex]
-15 , -14 and -13 are the three consecutive integers.
You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 5 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from. If you randomly choose your character and tool, what is the probability that you wont be a hobbit or use an umbrella
Answer:
The probability that you won't be a hobbit=
[tex] \frac{2}{3} [/tex]
The probability that you won't choose an umbrella=
[tex] \frac{4}{5} [/tex]
Step-by-step explanation:
The characters are 3, minus the hobbit gives you 2. So the probability of that=
[tex] \frac{2}{3} [/tex]
The weapons are 5, minus the umbrella is 4. So the probability of that=
[tex] \frac{4}{5} [/tex]
find the measure of the indicated angle to the nearest degree
Answer:
43
Step-by-step explanation:
First you divide the opposite side from the angle by the hypotenuse.
33/44
then you take the inverse sine of 33/44, resulting in
43.43°, which rounds to 43°
a cube plus b cube is equal to a + b whole (a square minus a b + b square whole)
Answer:
a =b
Step-by-step explanation:
Express 3x-2/(x-1)(x-2)
Answer:
3x-2/x²-3x+2
Step-by-step explanation:
you have to expand the bottom equations
(x-1)(x-2)
x(x-2)-1(x-2)
x²-2x-x+2
x²-3x+2
now from this you can't divide it into the top equation because not all the terms are like so it's better to bring it down as it is.
3x-2/x²-3x+2
I hope this helps
The inequality X+C > -2.55 has the solution x> 4.85 What is the value of c? How do you know?
Answer:
The value for C is 2.3
in this case we know of x to be 4.85
therefore subtract the summation of both X+C from the value of x.
Hence we will have the equation X - X+C =2.3
pls help
5 1/3 ÷ 1 7/9
Answer:
3
Step-by-step explanation:
5 1/3 ÷ 1 7/9
Change to improper fractions
5 1/3 = (3*5+1)/3 = 16/3
1 7/9 = (9*1+7)/9 = 16/9
16/3 ÷ 16/9
Copy dot flip
16/3 * 9/16
Rewriting
16/16 * 9/3
1*3
3
Please decide !!!!!!!!
9514 1404 393
Answer:
6 pours
Step-by-step explanation:
Here are two 6-step solutions. The four digits represent the contents of the 9,5,4,2 containers (in that order) after a single pour. The starting condition is 9000.
Solution 1:
7002 — 9 > 27200 — 2 > 53240 — 9 > 43510 — 4 > 53312 — 5 > 23330 — 2 > 4Solution 2:
5040 — 9 > 45400 — 4 > 51440 — 9 > 41530 — 4 > 51332 — 5 > 23330 — 2 > 9The tens digits of a certain two-digit number is 1/3 of the units digit. When the digits are reversed, the new number exceed twice the original number by 2 more than the sum of the digits. Find the original number.
Answer:
The orginal number is 26.
Step-by-step explanation:
So the units digit can be 3 6 or 9
The tens digit can be 1 2 or 3
So the original number can be 13
31 = 2*13+ (1+3) + 2
31 =? 26 + 4 + 2
This doesn't work. The right side is 32
26
62 = 2*26 + 8 + 2
62 = 52 + 8 + 2
This is your answer.
3 and 9 won't work because 39 is odd and so is 93. The result has to be even.
how many degrees does a unit angle measure a 10° B 90° c 180 degrees d 100 degrees
sine, cosine, and tangent to calculate the height of the buildings in the diagram below.
Answer: Around 68.0858 m
Step-by-step explanation:
Set the height of 37°-53°-90° triangle as xSet the height of 50°-40°-90° triangle as yThe horizontal side both triangles share = 35To find x To find y
[tex]tan(37)=\frac{x}{35} \\\\35tan(37)=x\\\\x=26.37439...[/tex] [tex]tan(50)=\frac{y}{35} \\\\35tan(50)=y\\\\y=41.7113757...[/tex]
To find the height of the building, add the x-value and y-value:
[tex]x+y=26.3744+41.7114=68.0858[/tex]
I hope this is correct o_o
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
needed
Answer:
cosC = [tex]\frac{7}{25}[/tex]
Step-by-step explanation:
cosC = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{7}{25}[/tex]
