An odd number cubed is an odd number.
To answer the question, we need to know what odd numbers are
What are odd numbers?Odd numbers include 1,3, 5,7... and take the general for (2n + 1) where n = 0, 1, 2...
Now, we need to show that an odd number cubed is an odd number.
So, the odd number (2n + 1) cubed is
(2n + 1)³ = (2n + 1)(2n + 1)²
= (2n + 1)(4n² + 4n + 1)
= 8n³ + 8n² + 2n + 4n² + 4n + 1
= 8n³ + 12n² + 6n + 1
= 2(4n³ + 6n² + 3n) + 1
Since (4n³ + 6n² + 3n) is an integer say k, we have that
2(4n³ + 6n² + 3n) + 1 = 2k + 1
Since 2k + 1 is an odd number, 2n + 1 is an odd number and (2n + 1)³ = 2k + 1 which is an odd number.
So, an odd number cubed is an odd number.
Learn more about odd numbers here:
https://brainly.com/question/15490594
#SPJ1
8 + h = -2
Help plzzzzz
Answer:
h= -10
Step-by-step explanation:
Basically you’re finding out what h is equal to because h can’t be a real number i guess i would say. It is but it also isn’t if that makes sense. Basically just subtract 8 on both sides ands you get your answer. Hope this helped :)
The set of numbers 1, 7, 11 and 36 contains values for n. What value of n makes the equation below true? 4n + 8 = 36
A) 1
B) 7
C) 11
D) 36
Plsss i need help with homework
Answer:
The Answer is YES
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Use Pythagorean theorem.
The longest side will be the hypotenuse
Hypotenuse² = 17² = 289
base² + altitude² = 15² + 8²
= 225 + 64
= 289 =Hypotenuse²
So, 8 m , 15 m , 17 m forms a right angled triangle
A man wants to determine the height of a light house. He measured
the angle at A and found that tan A = 3/4. What is the height of the
light house if A is 40 m from the base ?
Answer:
Step-by-step explanation:
height/A = tanA
height/40 = 3/4
height = 30 meters
How would you express the area of the rectangle using the Distributive Property?
Answer:
C
Step-by-step explanation:
Step 1: Find your legth and width
Length = x + 5
Width = 3
Step 2: Use area formula to find area
l x w = A
(x + 5) x 3 = A
A = 3(x+5)
Step 3: Therefore Statement
Thereforethe answer to the question is C. 3(x+5)
Answer:
C. 3(x + 5)
Step-by-step explanation:
area of rectangle = length * width = width * length
A = area of largest rectangle
a1 = area of left rectangle
a2 = area of right triangle
The largest rectangle is made up of the the two smaller rectangles.
A = a1 + a2
Left rectangle: a1 = WL = 3x
Right rectangle: a2 = WL = 3 * 5
Total area of the two small rectangles:
A = a1 + a2 = 3x + 3 * 5
Apply the distributive property in reverse to 3x + 3 * 5 by factoring out a 3:
A = 3x + 3 * 5 = 3(x + 5)
The area of the largest rectangle is 3(x + 5)
We can also find an expression for the area of the largest rectangle directly by looking at its length and width.
The length of the largest rectangle is x + 5.
The width of the largest rectangle is 3.
A = WL
Substitute 3 for W, the width.
Substitute x + 5 for L, the length.
A = 3(x + 5)
Answer: C. 3(x + 5)
The island has 600 bikes and 900 people. What is the bike to person ratio
Answer:
2:3 (2 bikes for every 3 people)
Step-by-step explanation:
hope this helps
How many TERMS are there in 8.4n - 3.2p?
Ben is paid £9.60 per hour.
If he works for more than 7 hours in a day, he is paid overtime for the additional hours at a rate of 1.5 times his normal rate of pay.
Yesterday, Ben worked for 12 hours.
How much money did he earn
Answer:
u liar>>>>>>
Step-by-step explanation:
properties of isosceles triangle:)
i’ll give a brainiest
Answer:
2 sides re equal
and 2 base angles are equal
Mark it as the brainliest answer
please thanks
Suppose cos(x)=-1/3, where pi/2≤x≤ pi. What is the value of tan(2x)?
Answer:
4√2/7
Step-by-step explanation:
Suppose cos(x)=-1/3, where pi/2≤x≤ pi
tan(2x) = sin(2x)/cos(2x)
Since sin2x = 2sinx cosx
cos 2x = 2cos²x-1
Substitute
tan(2x) = 2sinx cosx/ 2cos²x-1
Given cosx = -1/3
adjacent = -1
hyp = 3
opp = √3²-(-1)²
opp = √9-1
opp = √8
sinx = opp/hyp
sinx = √8/3
tan(2x) = 2sinx cosx/ 2cos²x-1
tan(2x) = 2(√8/3)(-1/3)/ 2(-1/3)²-1
tan2x= (-2√8/9 )÷ (2/9 - 1)
tan2x = -4√2/9 * 9/-7
tan 2x = 4√2/7
Candace has $15 more than Amar. Their combined money totals $85.Which system of equations represents this situation? *
A. c + a = 85 ; a + c = 15
D. a - c = 85 ; c - a = 15
C. c - a = 85 ; c + a = 15
B. c + a = 85 ; c - a = 15
Answer: c - a = 85 ; c + a = 15
Hope it helpsMATH HELP! BRAINLIESTT!!
Answer:
14
Hope it helps.......⋋✿ ⁰ o ⁰ ✿⋌
Answer:
n = 14
Step-by-step explanation:
ΔABC was dilated by a scale factor of 2.
two step equations that equal 23, 26, 28, and 29
Answer:23 - 3 = 20 + 3 = 23
Step-by-step explanation:
Will has a spinner with six equal sections numbered one through six. If Will spins the spinner 150 times, how many times can he expect to spin a number less than 5?
A)30
B)110
C)100
D) 25
pls hurry!!!
Answer:30
Step-by-step explanation:
30 times he can expect to spin a number less than 5.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
A spinner with six section numbered from 1 to 6.
total number of times spins = 150
So, the number of times the number comes less than 5 is
= 150 x 1/5
= 150/5
= 30
Learn more about Probability here:
https://brainly.com/question/30034780
#SPJ6
PLZ HELP
Which is the best estimate for the amount of liquid a watering can holds?
5 ounces
5 cups
5 quarts
5 gallons
Answer:
5 quartz would make the most sense, hope this helps
Step-by-step explanation:
A cell phone provider offers a plan that costs $20 per month plus $0.20 per text message sent or received. A comparable plan costs
$30 per month but offers unlimited text messaging. Complete parts a. and b. below.
a. How many text messages would have to be sent or received in order for the plans to cost the same each month?
In order for the plans to cost the same.
text messages would have to be sent or received
b. If you send or receive an average of 200 text messages each month which plan would you choose and why?
Answer:
Step-by-step explanation:
a)
30=20+0.2m
10=0.2m
50=m
So after sending 20 messages the plans would cost the same.
b)
Obviously from the first part that the unlimited plan is cheaper when sending 200 messages, but the costs numerically would be.
Unlimited plan costs $30 while the other plan costs
20+0.2(200)=$60
$9.27 for 48 oz of taco meat
Answer:
Need more info to answer your question!
Step-by-step explanation:
which system of equations graphed below has a solution of (2,1)
Answer:
Sorry to say this... but neither of them have a solution of (2,1)
Step-by-step explanation:
The top one has a solution of (-2,-1). The one on the bottom has a solution of (-2,1). So... I'm not sure how this can help... but yeah...
A rectangle has an area of 22.64 inches squared. If the coordinates of one of its sides are (0, 0) and (4, 4), what are the dimensions of the rectangle?
(Please only answer if you know how to solve it and maybe know an app, don't answer just because you want the points.)
Answer:
width= 4
hieght- 5.65
Step-by-step explanation:
so first lets find the diestnce between 0,0 and 4,4
which is 4 root 2
which is approciamitlty 5.65 and this would be the hieght
the width would be 22.64/5.65= approxiamitly 4
if you found my answer helpful please mark as brainliest.
If 8 men on a construction crew make up 40% percent of the entire crew, how many people are in the crew?
Could someone explain this question to me? I don't get it at all
Answer:
Step-by-step explanation:
Since 40% of the crew are men, which means n. 40=8 n=8/. 40 n=20 total number of crew 20 - 8=12 are women
Someone please help and make sure the answer right :)
Answer:
It's 10
Step-by-step explanation:
It's 10 because 7x is congruent to 70 and 7 times 10 equals 70 :))
Answer:
It's 10
Step-by-step explanation:
It's 10 buddy lol
Factor the following using identities wherever necessary
1) x² + 8x
2) x2 - 4x
3) x² + x - 2
4) x2 - 9
5) x² + 22x + 121
6) x² - 8x + 16
Answer:
1. x(x+8)
2. x(x−4)
3. (x−1)(x+2)
4.(x+3)(x−3)
5. (x+11)(x+11)
6. (x−4)(x−4)
Step-by-step explanation:
convert to logarithmic form pls!! :))
Answer:
16=(2/3)
Step-by-step explanation:
convert the exponential to a logarithmic equation using the loarithmic base (64) of the right side (16) equals the exponent (2/3)
1.) The length of a rectangle is 4 cm longer than the width. The
perimeter is 80 cm. Find the length and width. Write a system and
use substitution to solve.
Step-by-step explanation:
if a rectangle has 4 sides and there are two lengths and two widths
then we could split 80 by 2 and minus 4 from the length and then split that into two.
then your answer would be and 36 and 44
and the total answer would be half of each so the L=22 and L=22
and the W=18 and W= 18
sorry if this is wrong it least i tried :9
Jenna uses 6.1 pints of white paint and blue paint to paint her bedroom walls. 4/5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:
2.44 pints of white
Step-by-step explanation:
please help me if you can please
Answer:
17. m=-1/2
18. m=-1
Step-by-step explanation:
A retailer paid $33.00 for a lamp. What price should she sell the lamp for if she wants to make a 35% profit?
Answer: $44.55
Step-by-step explanation:
She should sell if for $33.00 x 1.35 = $44.55.
Can someone please help
Evaluate the function.
Answer:
Hello I'm pretty sure the answer is 20
Hope This Helps :D
Please let me know if I am incorrect pretty sure its right tho
Answer:
f(1) = 32
Step-by-step explanation:
f(x) = 4x^2 + 3x + 13
4(1)^2 + 3(1) + 13
4^2 + 3 + 13
16 + 3 + 13 = 32
A drain empties a bathtub at a rate of 0.5 gallons per minute. A
30-gallon tub was full and the shower head was turned off,
how long would it take the tub to empty through the partly
unplugged drain?
1/2(5x−8)=21 solve for x and brainliest
Answer:
x=10
Step-by-step explanation:
see picture for explanation