Answer:
5133 1/3
Step-by-step explanation:
[tex]3.5 \cdot 880 = 0.6x\\3080=0.6x\\x=5133 1/3[/tex]
Hope this helps!
Show that if x, y, z are integers such that x^3+5y^3 = 25z^3, then x = y = 0.
Answer:
3125*k^9 + y^3 is an integer my closure property.
but 5^(1/3) is not an integer, which forces z to be irrational.
Note that there is no way an integer value can rationalize 5^(1/3)
Step-by-step explanation:
x^3 = 25z^3 - 5y^3
x^3 = 5 ( 5z^3 - y^3)
x = (5 ( 5z^3 - y^3) )^(1/3) must be an integer
= 5^(1/3) * (5z^3 - y^3)^(1/3)
Then (5z^3 - y^3)^(1/3) = 25*k^3 for some integer k
5z^3 - y^3 = 15625*k^9
5z^3 = 15625*k^9 + y^3
z^3 = 3125*k^9 + (1/5)*y^3
z = ( 3125*k^9 + (1/5)*y^3 )^ ( 1/3)
Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.
Answer:
Proved (See Explanation)
Step-by-step explanation:
Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.
This is done as follows
[tex]\frac{3^{n+4} - 3^n}{16}[/tex]
From laws of indices;
aᵐ⁺ⁿ = aᵐ * aⁿ.
So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.
[tex]\frac{3^{n+4} - 3^n}{16}[/tex] becomes
[tex]\frac{3^n * 3^4 - 3^n}{16}[/tex]
Factorize
[tex]\frac{3^n(3^4 - 1)}{16}[/tex]
[tex]\frac{3^n(81 - 1)}{16}[/tex]
[tex]\frac{3^n(80)}{16}[/tex]
3ⁿ * 5
5(3ⁿ)
The expression can not be further simplified.
However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.
Find an ordered pair (x, y) that is a solution to the equation
2x-y=4
answer:
ordered pair is (2,-4)
If a = 10 and b =
-4, explain how to find the number of solutions to the equation.
Answer:
No solution
Step-by-step explanation:
4+ 2(5x-8)=ax+b
1. Plug in values: 4 + 2(5x-8) = (10)x + (-4)
2. Combine Like Terms: 4 + 10x -16 = 10x -4
3. Add 10x to both sides: 4 -16 = -4
4. Combine Like Terms: -12 = -4
-12 does not equal -4, so there is No solution
describe the daily high temperature using the measures of center 34 31 35 24 31 33 36
What's the right answer?????????
So the right answer is 166.375 ^3
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
166.375m^3
Step-by-step explanation:
V=lwh
=5.5m×5.5m×5.5m
=166.375m^3
Can someone help me with this question
Answer:
none of the above
Step-by-step explanation:
1/8 = .125
.11 =11/100
.11 repeating = 1/9
.16 = 4/25
.1666666666repeating = 1/6
Please help with my homework
Answer:
12.92cm²
Step-by-step explanation:
[tex] area = \frac{1}{2} \times base \times height[/tex]
area= 1/2×7.6×3.4
Area = 1/2 × 25.84
Area = 12.92 cm²
Will mark brainliest for whoever answers
Answer:
i dont khow
i guess true
Step-by-step explanation:
Answer:
true
your answer is correct
Step-by-step explanation:
Slope-intercept intro
What is the slope of y = 6x+2
Stuck? Watch a video or use a hint.
Answer:
slope = 6
Step-by-step explanation:
The equation of a line in slope- intercep form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6x + 2 ← is in slope- intercept form
with slope m = 6
What is the volume of a rectangular prism with a length of 14 m, height of 6
m, and width of 3 m?
Answer:
252m^3
Step-by-step explanation:
Multiply all the numbers.
Answer:
252
Step-by-step explanation:
14 times 6 times 3=252
How many kilometers are in 3, 250 centimeters?
Answer:
None
Step-by-step explanation:
There are 100cm to a meter, you have 3250cm giving you 32.5m, a km is 1000m so ther are no kilometers with 3250 cm. Not even close
Sam plans to walk his dog a distance of 1 mile. He walks3/8
and stops to get a bottle of water. Then he walks 1/8of a mile
and stops to say hello to a friend. How far does Sam still hava to
walk his dog?
Answer:
4/8 or 1/2 more to go
Step-by-step explanation:
3/8 plus 1/8 is 4/8
so 8/8 minus 4/8 is 4/8
Please help! Will give brainliest, thanks and more points.
Look at the picture.
(5.67x - 8.16)+(3.6x + 9.2)
you dont have to find x you only have to simplify it
Answer:
Step-by-step explanation:
5.67x - 8.16 + 3.6x + 9.2
Write the like terms together
= 5.67x + 3.6x - 8.16 + 9.2
{8.16 & 9.2 have different sign, so subtract and the result will have the bigger numbers sign}
= 9.27x + 1.04
the quotient of h and 8 is split by 12
Answer:
i am lead to believe the answer is 4. if not, please don't hesitate to correct my mistake.
Step-by-step explanation:
State the coordinates of a point in the solution set
Answer:
It's any point in the mixed color area
Step-by-step explanation:
The coordinates of a point in the solution set is (3,2).
What is an inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality'.
Given is the graph of system of inequalities,
The two lines are intersecting at (3,2), and the point at which the two lines intersects is considered to be the solution of the given system of equation.
Hence, the coordinates of a point in the solution set is (3,2).
For more references on inequalities, click;
https://brainly.com/question/28823603
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What is the value of the expression m2 + 3m when m = 4?
A. 15
B. 18
C. 20
D. 28
[tex]\text{Solve by plugging 4 to m:}\\\\(4)^2+3(4)\\\\16+3(4)\\\\16+12\\\\28\\\\\boxed{\text{D). 28}}[/tex]
The value of the expression [tex]m^{2} + 3m[/tex] when m =4 is 21.
What is expression?
An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.
What is substitution?The process of swapping an algebraic letter for its value is called substitution.
According to the given question we have
An expression
[tex]m^{2} +3m[/tex]
We have to find the value of given expression when m =4, for this substitute the m =4 in the expression [tex]m^{2} + 3m[/tex]
⇒ [tex](3)^{2} + 3(4)[/tex]
⇒ 9 + 12 = 21
Hence, the value of [tex]m^{2} + 3m[/tex] when m =4 is 21.
Learn more about the expression and substitution here:
https://brainly.com/question/14619835
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VERY IMPORTANT I NEED HELP!!!
What is the following quotient?
/96
^
2.3
2/22
12
Answer:
2√3
Step by step Explanation:
[tex] = > \frac{ \sqrt{96} }{ \sqrt{8} } \\ \\ = > \frac{ \sqrt{12 \times 8} }{ \sqrt{8} } \\ \\ = > \frac{ \sqrt{12} \times \sqrt{8} }{ \sqrt{8} } \\ \\ = > \sqrt{12} \\ \\ = > \sqrt{4 \times 3} \\ \\ = > \sqrt{2 \times 2 \times 3} \\ \\ = > 2 \sqrt{3} [/tex]
Colleen recorded the type of trees in the woods near her house. She counted 20 spruce trees and 50 maple trees. What is the experimental probability that the next tree Colleen finds will be a spruce tree?
A) 2/7
B) 3/5
C)5/7
D)2/5
Answer:
The answer is A [tex]\frac{2}{7}[/tex]
Step-by-step explanation:
How can you check your answer?
Multiply 3 by 3, then add 7 and make sure
the answer is 21.
Multiply 3 by 3, then add 7 and make sure
the answer is 24.
Multiply 7 by 3, then add 3 and make sure
the answer is 21.
Multiply 7 by 3. then add 3 and make sure
the answer is 24.
DONE
Answer:
Option D is correct
Step-by-step explanation:
Multiply 7 by 3. then add 3 and make sure the answer is 24.
7 x 3 + 3 = 21 + 3 = 24
Hope this helps!
:)
Answer:
Option D is correct
Step-by-step explanation:
The probability of a particular manufactured product being defective is 1/100. How many defective products would be expected in a random sample of 1,500 products?
Answer:
15
Step-by-step explanation:
Just divide 1500 by 100
To solve this we need to make a proportion
[tex] \dfrac{1}{100} = \dfrac{x}{1500} \\ x = \dfrac{1 \times 1500}{100} \\ x = 15 \%[/tex]
Answer: 15%
Put the following rational numbers in order from greatest to least.
a. -0.4, -1/4, 4.0 x 10^-3, 40%
b. -1/4, -0.4, 40%, 4.0 x 10^-3
c. 40%, 4.0 x 10^-3, -1/4, -0.4
d. 4.0 x 10^-3, 40%, -0.4, -1/4
A line passes through the point (1,-3) and has a slope of -7. Find the equation of the line.
Answer:
y= -7x+4
Step-by-step explanation:
(0,4)
(1,-3)
(2,-10)
4 is the y-intercept.
If y=2x-8, what is the value of x when y=0?
A)-4
B)0
C)4
D)8
Answer:
x=4
Step-by-step explanation:
y = 2x - 8
Let y =0
0 = 2x-8
Add 8 to each side
8 = 2x-8+8
8 = 2x
Divide each side by 2
8/2 = 2x/2
4 =x
PLEASE HELP I AM STUCK I WILL GIVE BRAINLIEST!!!!!!
Answer:
c. 2+4(n-1)
b. 4+3(n-1)
Step-by-step explanation:
Look at the pattern: it starts at 2, and each term afterwards goes up by 4 each time. 2+4 = 6+4 = 10... et cetera.
2+4(n-1) is the equation.
Test this out with the fifth term.
t₅ = 2 + 4(n-1) = 2 + 4*4 = 2+16 = 18
Test it out with the first term, too.
t₁ = 2 + 4(n-1) = 2 + 4(0) = 2
If you follow the same pattern with part b, you find that the equation is
4+3(n-1)
Test it in the same manner.
I am not very good at angles please help me.
Answer:
∠3 and ∠7 ↔ Corresponding Angles
∠2 and ∠7 ↔ Alternate Exterior Angles
∠4 and ∠5 ↔ Alternate Interior Angles
∠3 and ∠6 ↔ Alternate Interior Angles
What is the opposite of -(-23)
Answer:
23?
Step-by-step explanation:
Tyrone weighed 1 box of macaroni on a scale and found it weighed 0.6 pounds. What could Tyrone do to find the total weight of 100 boxes of macaroni?
Answer:
He could multiply the amount one box ways by 100, or 0.6*100.
Step-by-step explanation:
Two trains leave a station on different tracks. The
tracks make an angle of 115° with the station as a
vertex. The first train travels 200 kilometers and
makes its first stop in Pocomoc, while the second
train travels 350 kilometers and makes it first stop
in Easton, How far apart are the trains when both
are at their first stop? Round the answer to the
nearest tenth
221,666.6 km
188.7 km
470.8 km
360.6 km
Answer:
470.8km
Hope this helped!!
Answer:
C. 470.8
on edge
Step-by-step explanation:
hope this helped