What is the difference between percent difference and percent change?
Answer:
Percent change is comparing one current number or value to another.
Percent difference is comparing a number or value to another number or value.
Step-by-step explanation:
prove that under root 2 is a irrational number
Answer:
Let's suppose √2 is a rational number. Then we can write it √2 = a/b where a, b are whole numbers, b not zero.
We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction. Notice that in order for a/b to be in simplest terms, both of a and b cannot be even. One or both must be odd. Otherwise, we could simplify a/b further.
From the equality √2 = a/b it follows that 2 = a2/b2, or a2 = 2 · b2. So the square of a is an even number since it is two times something.
From this we know that a itself is also an even number. Why? Because it can't be odd; if a itself was odd, then a · a would be odd too. Odd number times odd number is always odd. Check it if you don't believe me!
Okay, if a itself is an even number, then a is 2 times some other whole number. In symbols, a = 2k where k is this other number. We don't need to know what k is; it won't matter. Soon comes the contradiction.
If we substitute a = 2k into the original equation 2 = a2/b2, this is what we get:
2=(2k)2/b22=4k2/b22*b2=4k2b2=2k2
This means that b2 is even, from which follows again that b itself is even. And that is a contradiction!!!
WHY is that a contradiction? Because we started the whole process assuming that a/b was simplified to lowest terms, and now it turns out that a and b both would be even. We ended at a contradiction; thus our original assumption (that √2 is rational) is not correct. Therefore √2 cannot be rational.
(I copied this from the internet, but hope it helps!)
Answer:
Let's suppose √2 is a rational number. Then we can write it √2 = a/b where a, b are whole numbers, b not zero.
We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction. Notice that in order for a/b to be in simplest terms, both of a and b cannot be even. One or both must be odd. Otherwise, we could simplify a/b further.
From the equality √2 = a/b it follows that 2 = a2/b2, or a2 = 2 · b2. So the square of a is an even number since it is two times something.
From this we know that a itself is also an even number. Why? Because it can't be odd; if a itself was odd, then a · a would be odd too. Odd number times odd number is always odd. Check it if you don't believe me!
Okay, if a itself is an even number, then a is 2 times some other whole number. In symbols, a = 2k where k is this other number. We don't need to know what k is; it won't matter. Soon comes the contradiction.
If we substitute a = 2k into the original equation 2 = a2/b2, this is what we get:
2 = (2k)2/b2
2 = 4k2/b2
2*b2 = 4k2
b2 = 2k2
This means that b2 is even, from which follows again that b itself is even. And that is a contradiction!!!
WHY is that a contradiction? Because we started the whole process assuming that a/b was simplified to lowest terms, and now it turns out that a and b both would be even. We ended at a contradiction; thus our original assumption (that √2 is rational) is not correct. Therefore √2 cannot be rational.
What is the total cost of a $95.00 item with a sales tax of 6%?
Answer:
$100.7
Step-by-step explanation:
Total cost
= cost of item + amount of sales tax
= 95 + 6% of 95
= 95 + 0.06*95
= 95 + 5.7
= $100.7
Answer:
Since the sales tax is 6%, the object will cost 1.06 (100% + 6%) times the original value.
1.06 × $95.00 = $100.70
The object will cost $100.70.
Step-by-step explanation:
Credits to : Padoru
Check : https://brainly.com/question/14308615 to see their response
Will give brain for good answer.
-1/2x = -7
Answer:
x = 14
Step-by-step explanation:
Step 1:
- 1/2x = - 7 Equation
Step 2:
x = - 7 ÷ - 1/2 Divide 1/2 on both sides
Step 3:
x = - 7 × - 2 Flip the Fraction
Answer:
x = 14 Multiply
Hope This Helps :)
Write an algebraic expression that represents 3 less than 19 times a number?
1. 3x-19
2. 19x-3
3. 19(x-3)
4. 3-19x
Step-by-step explanation:
the answer is choice 2 because less than always means a negative number never subtract and i also looked up examples online so it gave me the same answer. YOUR WELCOME
Can someone please help me with this question!!! Pick The correct layout
Answer:
B
Step-by-step explanation:
x + y = 90
Your x and y will give you a sum of 90
y= 4x + 6
Your y will be 6+ more then 4 TIMES x
therefore you would do 4 times x plus 6 equals y
Two cars start from the same point and move in a straight line, one east at a speed of 60 km per hour and the other west at a speed of 80 km per hour. After what time will they live at a distance of 770 km?
Answer: At 5.5 hours they will be 770 km apart.
Step-by-step explanation: Divide the distance by the total speed at which they are moving apart.
60 km/h + 80km/ = 140 km/h
770 km ÷140 km/h = 5.5 hours
Help me please!!!:):)
Answer:
4/7x310=177 1/7
8/8x310=310
1 1/6x310=361 2/3
Step-by-step explanation:
Hope THis Helps :)
Answer:
4/7*310 = 177.142857
8/8*310 = 310
1 1/6*310 = 361.666667
So the order would be 4/7, 8/8, 1 1/6
Hope this helped! :)
A composite function can be written as w(u(x)), where u and w are basic functions.
Is h(x) = (x2 + 3x + 2)5 a composite function? If so, what are the "inner" and "outer" functions?
Choose 1 answer:
A
h is composite. The "inner" function is x2 + 3x + 2 and the "outer" function is x5.
h is composite. The "inner" function is 25 and the "outer" function is x2 + 3x + 2.
C
h is not a composite function.
Answer:
A
Step-by-step explanation:
Yes , h(x) is a composite function
A composite function involves putting one function into another
In this case;
x^5 will be the outside function while what we have in the bracket is the inner function
s = 6t² + 3t + 7, 0 ≤ t ≤ 2 Find the body's displacement and average velocity for the given time interval. *
A) 30 m, 30 m/sec
B) 44 m, 22 m/s
C) 18 m / sec , 27 m /sec
D) 30 m / sec , 15 m /sec
Answer:
no choice
use calculus to find vav
s'=v=12t+3
v(0)=3
v(2)=27
so vav=(27-3)/2
vav=12
Can someone help me
Let $p\left(x\right)=x^3-3x^2-10x+24$p(x)=x3−3x2−10x+24 . What is the remainder when $p\left(x\right)$p(x) is divided by $x-1$x−1 $?$?
Answer:
84657
Step-by-step explanation:
Given that g(x)=2x^2-5. Calculate g(x+4)+2
Answer:
[tex]2x^2+16x+29[/tex]
Step-by-step explanation:
Given that,
[tex]g(x)=2x^2-5[/tex]
We need to find g(x+4)+2
[tex]g(x+4)=2(x+4)^2-5\\\\=2(x^2+16+8x)-5\\\\=2x^2+32+16x-5\\\\=2x^2+16x+27[/tex]
Now,
[tex]g(x+4)+2=2x^2+16x+27+2\\\\=2x^2+16x+29[/tex]
So, the value of [tex]g(x+4)+2[/tex] is [tex]2x^2+16x+29[/tex]
1. The area of a square tile is 36 square centimeters. What is the length of the tile?
a. 4 cm
b. 6 cm
c. 18 cm
d. 24 cm
What is the value of x in the equation 8+4 = 2(x-1)?
05
11/2
13/2
7
Answer:
7
Step-by-step explanation:
8+4=2(x-1)
12=2(x-1)
x-1 = 12/2
x-1 = 6
x = 6+1 = 7
A paddock contains ducks and sheep. There are a total of 42 heads and 96 feet in the paddock. Determine how many ducks and how many sheep are in the paddock using simultaneous elimination.
Answer:
Number of ducks in paddock = 36
Number of sheep in paddock = 6
Step-by-step explanation:
Let d be the number of ducks and s be the number of sheep
Then according to given statements, the equations will be:
[tex]d+s = 42\ \ \ Eqn\ 1\\2d+4s = 96\ \ \ Eqn\ 2[/tex]
For elimination, multiplying equation 1 by 2 and then subtracting from equation 2:
[tex]2(d+s) = 2*42\\2d+2s = 84\\Subtraction:\\2d+4s-(2d+2s) = 96-84\\2d+4s-2d-2s = 12\\2s = 12\\\frac{2s}{2} = \frac{12}{2}\\s = 6[/tex]
Putting s = 6 in equation 1:
[tex]d+6 = 42\\d = 42-6\\d = 36[/tex]
Hence,
Number of ducks in paddock = 36
Number of sheep in paddock = 6
Number of sheep and Number of duck are 6 and 36
Elimination method:Given that;
Number of total heads = 42
Number of total feet = 96
Find:
Number of ducks and sheep
Computation:
Number of legs in 1 sheep = 4
Number of legs in 1 duck = 2
So,
Assume;
Number of sheep = a
Number of duck = b
So,
a + b = 42 ...... Eq1
4a + 2b = 96 ......... Eq2
Eq2 / 2
2a + b = 48..... Eq3
From Eq 3 and Eq1
a = 6
So,
b = 36
Number of sheep = 6
Number of duck = 36
Find out more information 'Elimination method'
https://brainly.com/question/3580300?referrer=searchResults
How would you solve a linear equation with X and Y on the same side
Either the question is printed wrong..
Or the answer should simply be
3x + 4y = 10
Answer:
see explanation
Step-by-step explanation:
To solve, choose a value of x or y, substitute into the equation and evaluate for the other variable.
Choose x = 2, then
3(2) + 4y = 10
6 + 4y = 10 ( subtract 6 from both sides )
4y = 4 ( divide both sides by 4 )
y = 1
Thus (2, 1 ) is a solution to the equation
^^^^^^^^^^^^^^^^^^..!!!!!!
Answer:
Step-by-step explanation:
[tex]\sqrt{40x^{3} }[/tex]
rewrite
[tex]\sqrt{4*10*x^{2} *x}[/tex]
pull out the 4 and the [tex]x^{2}[/tex]
2x[tex]\sqrt{10x}[/tex]
a looks good
i need help please with all
Answer:
13. 230°
14. -3
14. 14
15. 9
Step-by-step explanation:
I'm srry if these are wrong
Find the slope given the 2 points, (-7, -3) and (-2,7).
Answer:
the answer is negative 7 over 2
Step-by-step explanation:
If y=−3x+5, what is y when x=2/3?
Answer:
y = 3
Step-by-step explanation:
-3(2/3) + 5= y
-3 * 2/3 = -2
-2 + 5 = 3
So the answer is y = 3
Marta’s fruit stand sold x oranges on Thursday and twice as many on Friday. All together, on both days, she sold 108. Which bar diagram represents the equation?
Step-by-step explanation:
Thursday = x
Friday = 2x (Since thursday is x and she landed up selling twice the amount she did on thursday, friday would be 2x)
Thursday + Friday = 108
For this problem you would need to find the value of x so you would need to substitute x into the equation that was created for the oranges sold on both the days
Thursday + Friday = x+2x = 108
x +2x = 108
3x = 108
x = 108/3
x= 36
Since x is thursday, Marta sold 36 oranges on thursday
To find the amount of oranges sold on friday you would need to multiply x, which is 36, by 2
2x = 2(36) = 72
72 oranges were sold on friday
Hope this helps!!!
Answer:
A on edge
Step-by-step explanation:
A carton contains 1.92 liters of milk. There are 8 servings in the carton. How many liters of milk are in each serving? A. 0.14 B. 0.19 C. 0.24 D. 0.29
Answer:
C. 0.24
Step-by-step explanation:
A carton contains 1.92 liters of milk. There are 8 servings in the carton. How many liters of milk are in each serving? A. 0.14 B. 0.19 C. 0.24 D. 0.29
From the above question:
8 servings = 1.92 liters of milk
1 serving = x liters
Cross Multiply
8 × x liters = 1 × 1.92 liters
x liters = 1.92 liters/8
x liters = 0.24 liters
There are 0.24 liters of milk, in 1 serving
Answer:
0.24
Step-by-step explanation:
.. The zeroes of the quadratic polynomial x2 +
kx + k, where k = 0,
(a) cannot both be positive
(b) cannot both be negative
(c) are always unequal
(d) are always equal
Answer:
d.
Step-by-step explanation:
They are always equal because if k = 0 we are left with x^2.
Answer:
it is d at lease I try think sets DVDs fragIn ΔEFG and ΔYXZ, m∠F ≅ m∠X and m∠E ≅ m∠Y. If m∠E = 62° and m∠X = 80°, what is the measure of ∠Z?
Given:
In ΔEFG and ΔYXZ, ∠F ≅ ∠X and ∠E ≅ ∠Y. If m∠E = 62° and m∠X = 80°.
To find:
The measure of ∠Z.
Solution:
In ΔEFG and ΔYXZ,
∠F ≅ ∠X
m∠F = m∠X = 80°
∠E ≅ ∠Y
m∠E = m∠Y = 62°
Now, in ΔYXZ,
[tex]m\angle X+m\angle Y+m\angle Z=180^\circ[/tex] [Angle sum property]
[tex]80^\circ+62^\circ+m\angle Z=180^\circ[/tex]
[tex]142^\circ+m\angle Z=180^\circ[/tex]
[tex]m\angle Z=180^\circ-142^\circ[/tex]
[tex]m\angle Z=38^\circ[/tex]
Therefore, the measure of ∠Z is 38°.
Answer:
∠Z=38°.
Step-by-step explanation:
Given: ∠E ≅ ∠Y, ∠F ≅ ∠X ≅ ∠∠X and ∠X = 80°.
Refer to the image below:
Since ∠E ≅ ∠Y and ∠F ≅ ∠X, this muse mean that ∠G ≅ ∠Z. Now if ∠X = 80°, ∠F has to equal the same since the two are congruent. If you substitute the rest based off of the given, ∠Z=38°.
Janet measured a shopping center and made a scale drawing. The scale she used was 1 inch : 6 feet. A bakery in the shopping center is 13 inches in the drawing. How long is the actual bakery?
Answer:
The length of the actual bakery is 936 inches or 78 feet
Step-by-step explanation:
From the question we are told:
Janet measured a shopping center and made a scale drawing. The scale she used was 1 inch : 6 feet.
Let both the measurement of the shopping center and scale drawing be written in feet
1 foot = 12 inches
6 foot = x
Cross Multiply
x = 6 × 12 inches
x = 72 inches
Hence, the scale drawing =
Scale drawing : shopping center
1 inch = 72 inches
A bakery in the shopping center is 13 inches in the drawing. How long is the actual bakery?
This is calculated as:
1 inch = 72 inches
13 inches = x inches
Cross Multiply
x = 13 × 72 inches
x = 936 inches
The length of the shopping center = 936 inches
We convert back to feet
= 12 inches = 1foot
936 inches = x
Cross Multiply
12x = 936 × 1
x = 936/12
x = 78 feet
Therefore the length of the actual bakery is 936 inches or 78 feet
TJ rented a truck to move to a apartment the regular price of a Truck Rental is $200 TJ has a 50% off coupon he wants to know the sale tax of the truck rental
Answer:
$100
Step-by-step explanation:
From the question, we are given the following
Rental price of the truck
percentage off coupon = 50%
Required
Sale tax of the truck rental
Sale tax of the truck rental = 50% of the truck price
Sale tax of the truck rental = 50% of $200
Sale tax of the truck rental = 50/100 * 200
Sale tax of the truck rental = 0.5 * 200
Sale tax of the truck rental = $100
Hence the sale tax of the truck rental is $100
can anyone please help me with this question?
Answer:
13
Step-by-step explanation:
A is going to be my version of the triangle:
if A ABC =~ A GHI then all of the line segments and area should be the same.
Here is a polygon. A scaled copy of the polygon is created using a scale factor of 1/2. What are the new side lengths in the copy?
Answer:
3 by 4
Step-by-step explanation:
Given the dimension of the polygon as 6 by 8
If the scale factor is 1/2, the new side length is gotten by multiplying both dimensions by 1/2 as shown:
For the side length 6:
New length = 1/2 * 6 = 3
For the side length 8:
New length = 1/2 * 8
New length = 4
Hence the new side lengths in the copy is 3 by 4
A grocer has 18kg of black tea worth 3.5per kg. She wants to mix
The question is incomplete, the complete question is;
A grocer has 18 kg of black tea worth $3.5 per kg. She wants to mix it with green tea worth $2.6 per kg to sell the mixture at $2.9 per kg. How much of green tea should she use?
Answer:
36
Step-by-step explanation:
Let the weight of the green tea used be x kg.
From the question:
We have:
18 kg of black tea at $ 3.5 per kg. Thus total cost of black tea is 18 x 3.5 = $ 63
Cost of green tea is $2.6 per kg. Total cost of green tea is 2.6 * x = $2.6x
Total weight of the mixture is 18 + x kg.
Total cost of the mixture is = $2.9 (18 + x)
Thus,
Total cost of black tea + total cost of green tea = Total cost of the mixture
$63 + $2.6 x = $2.9 (18 + x)
$63 + $2.6x = $52.2 + $2.9x
63 – 52.2 = 0.3 x
10.8 = 0.3 x
x = 10.8/0.3
x = 36
36 kg of green tea is needed