A student wants to use the property
(
x
−
y
)
(
x
+
y
)
=
(
x
2
−
y
2
)
to find the product
(
26
)
(
34
)
.
Which statement is true?
The property is an illustration of difference of two squares
The true statement is [tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]
The property is given as:
[tex]\mathbf{(x - y)(x + y) = x^2 - y^2}[/tex]
The product is given as:
[tex]\mathbf{(26)(34)}[/tex]
Let x - y = 26, and x + y = 34.
So, we have:
[tex]\mathbf{x - y = 26}[/tex]
[tex]\mathbf{x + y = 34}[/tex]
Make x the subject in [tex]\mathbf{x - y = 26}[/tex]
[tex]\mathbf{x = 26 +y}[/tex]
Substitute 26 + y for x in [tex]\mathbf{x + y = 34}[/tex]
[tex]\mathbf{26 + y+ y = 34}[/tex]
[tex]\mathbf{26 + 2y = 34}[/tex]
Subtract 26 from both sides
[tex]\mathbf{2y = 34 -26}[/tex]
[tex]\mathbf{2y = 8}[/tex]
Divide both sides by 2
[tex]\mathbf{y = 4}[/tex]
Substitute 4 for y in [tex]\mathbf{x = 26 +y}[/tex]
[tex]\mathbf{x = 26 + 4}[/tex]
[tex]\mathbf{x = 30}[/tex]
So, we have:
[tex]\mathbf{(x - y)(x + y) = x^2 - y^2}[/tex]
[tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]
Hence, the true statement is [tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]
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|2x + 7| >7
what are the boundary points?
Answer:
the answer is [tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x<-7\quad \mathrm{or}\quad \:x>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-7\right)\cup \left(0,\:\infty \:\right)\end{bmatrix}[/tex]
Step-by-step explanation:
i hope this helps :)
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (I use it all the time).
Answer:
absolute value
Step-by-step explanation:
If your talking about the two lines by the 7 and the 2.
there used to find the absolute value of a number.
lets say you have this |-2| your answer would be 2.
|1| =1
-|1|= -1
I hope you get the point
the question would be 2x=7>7 its that easy
A cone has a height of 5 inches and a radius of 4 inches. What is its volume?
Use a ~ 3.14 and round your answer to the nearest hundredth.
9514 1400 393
Answer:
83.73 in³
Step-by-step explanation:
It is appropriate to use the formula for the volume of a cone:
V = (1/3)πr²h
V = (1/3)(3.14)(4 in)²(5 in) ≈ 83.73 in³
The volume of the cone is about 83.73 in³.
Is the following relation a function?
Yes
or
No
Answer:
no
Step-by-step explanation:
Answer:
I think that it is yes but not sure
you should solve the answer for z not m pls
Step-by-step explanation:
we can factor out z
so that'll be
z((1/m)-(1/n))=1
divide by the value in parentheses on both sides
z=1/((1/m)-(1/n))
I can't tell if there's more the problem wants you to do. I could rewrite the equation on paper more easily, but I don't have one on hand
Answer: The answer is z=1/((1/m)-(1/n). Abhlnav, I'm sorry about not finding the answer to solve for z, and that’s the reason why you told me to solve for z not m to your algebraic expression to find the answer. Are you very good at mathematics, Abhlnav?
Step-by-step explanation:
Multiply: 1/ 3 × 2 /5 To find the product, the numerators and the denominators. The product is . Divide: 2/ 5 ÷ 3/ 5 To divide, multiply by the . The quotient is .
Multiply: 1
3
× 2
5
To find the product,
✔ multiply
the numerators and
✔ multiply
the denominators.
The product is
✔ 2/15
.
Divide: 2
5
÷ 3
5
To divide, multiply by the
✔ reciprocal
.
The quotient is
✔ 2/3
.
Edg 2020 :)))))))
The multiplication result to 2/15 and division result to 2/3.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
1/ 3 × 2 /5
Now, to multiply we have multiply numerator and denominator.
1/ 3 × 2 /5
=(1 x 2)/ ( 3 x 5)
= 2 /15
Now, 2/ 5 ÷ 3/ 5
We have to divide the fraction.
Fraction does not support division.
So,2/ 5 ÷ 3/ 5
= 2/5 x 5/3
= 2/3.
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An envelope is 48 centimeters wide, and it measures 52 centimeters along the diagonal. How tall is the envelope?
Answer:
20 cm.
Step-by-step explanation:
Pythagorean Theorem a^2 + b^2 = c^2 (c is the hypotenuse).
Plug it in.
48^2 + b^2 = 52^2
2,304 + b^2 = 2,704
Isolate the variable.
b^2 = 400
b = 20
What's the answer to this on Zearn??
Answer:
The answer is
4/12 - 3/12
Step-by-step explanation:
Answer:
4/12 - 3/12
Step-by-step explanation:
Jamie ordered 200 business cards and paid $23. She ordered 500 business cards and few months later and paid $35. WRITE and SOLVE a linear equation to find the cost to order 700 business cards.
simplify 5.42 - 4.987
Answer:
0.433
Step-by-step explanation:
5.42 - 4.987
Subtract each column of digits starting from right to left.
5.420
- 4.987
If the digit being subtracted is larger than the digit above it then borrow a digit from the next left column.
5.420
- 4.987
Borrow 1 from 5:
4.(10+4)20
- 4.987
4.(14)20
- 4.987
Borrow 1 from 14:
4.(13)(10+2)0
- 4.987
4.(13)(12)0
- 4.987
Borrow 1 from 12:
4.(13)(11)(10+0)
- 4.987
4.(13)(11)(10)
- 4.987
Subtract the second digit from the first:
(10 - 7 = 3):
4.(13)(11)(10)
- 4.987
= 3
(11 - 8 = 3):
4.(13)(11)
- 4.987
= 33
(13 - 9 = 4):
4.(13)
- 4.987
= 433
4.(13)
- 4.987
= .433
(4 - 4 = 0):
4.(13)
- 4.987
= 0.433
Is a = 8 a solution to the inequality below? 4 > a -6
Answer:
yes because the equation will equal 2
Harry fills up his Jeep with gasoline and notes that the odometer reading is miles. The next time he fills up his Jeep, he pays for gallons of gasoline. He notes his odometer reading is miles. How many miles per gallon did he get?
Complete question :
Harry fills up his Jeep with gasoline and notes that the odometer reading is 23,568.7 miles. The next time he fills up his Jeep, he pays for 12.6 gallons of gasoline. He notes his odometer reading is 23,706.3 miles. How many miles per gallon did he get?
Answer:
10.9 miles per gallon
Step-by-step explanation:
Given that :
Odometer reading when filled up with gasoline = 23,568.7 miles
Odometer reading with 12.6 gallons of gasoline = 23,706.3 miles
Miles per gallon gotten :
(Current Odometer reading - reading when filled up) / gallon of gasoline
(23706.3 - 23568.7) / 12.6
= 10.920634
= 10.9 miles per gallon
Find the inverse of the function.
Answer:
A) [tex]f^{-1}(n)= (n+2)^3[/tex]
Step-by-step explanation:
[tex]f(n) = \sqrt[3]{n} -2[/tex]
[tex]y = \sqrt[3]{n} -2[/tex]
[tex]y = n^{1/3}-2[/tex]
[tex]n = y^{1/3} -2[/tex]
[tex]n + 2 = y^{1/3}[/tex]
[tex]y = (n + 2) ^3[/tex]
[tex]f^{-1}(n) = (n + 2)^3[/tex]
Hope this helps!
Answer:
Option A
Step-by-step explanation:
f(n) =∛n-2
y= ∛n-2
Interchange y and n
n =∛y-2
Subtract -2 on both sides
n+2 = ∛y
both both sides to the 3rd power:
(n+2) to the 3rd power = y
Inverse :
f-1(n) = (n+2) to the 3rd power (option A)
I know m<1 is 55 but I don’t know 2 &3. Please help.
Help me please I don’t . Get so please give me the answer
Answer:
1953125
Step-by-step explanation:
Answer:
5⁹ =5⁴
5⁵
Step-by-step explanation:
this is my answer
Find the amount to be paid at the end of eight years that is equivalent to a payment of $400 now and a payment of $300 at the end of four years
(a) if 6% simple interest is earned from the date each payment is made and use a comparison date of right now.
(b) if 6% simple interest is earned from the date each payment is made and use a comparison date of eight years from now.
(c) Explain why the fact you get different answers in parts (a) and (b) does not contradict the fact that equations of value at different times are equiv- alent equations.
(d) Repeat parts (a) and (b) except replace "simple interest" with "compound interest."
Answer:
A) $964
B) $651.35
C) The difference in value for part a and part b is due to time factor and the accumulated interest hence it is better to pay $651.35 right now than to pay $964 when you pay $400 now and $300 in four years time
D) $1016.28 , $637.63
Step-by-step explanation:
lets assume the amount to be paid in eight years that is equivalent to payment of $400 now and a payment of $300 at the end of four ( 4 ) years ( FV )
a) since a 6% interest is earned each day of every payment
will use this formula : S = P( 1 + rt )
therefore $400 paid today will a simple interest of = 400 * 0.06 * 8 = $192
$300 paid at the end of four years will earn a simple interest of = 300*0.06*4 = $72
hence FV = $ ( 400 + 192 ) + $ ( 300 + 72 ) = $964
b) when compared with eight years from now
PV = [tex]\frac{FV}{1+rt}[/tex] = ($964) / ( 1 + (0.06*8) = $651.35
C) The difference in value for part a and part b is due to time factor and the accumulated interest hence it is better to pay $651.35 right now than to pay $964 when you pay $400 now and $300 in four years time
D) Repeating parts (a) and (b) using compound interest
using the formula : S = P( 1 + r )^t
therefore $400 paid today will have a compound interest of
= 400 ( 1.06)^8 = $637.54
$300 paid at the end of four years will earn a compound interest of
= 300 ( 1.06 ) ^4 = $378.74
hence FV = 637.54 + 378.74 = $1016.28
when compared with eight years from now
= [tex]\frac{FV}{(1+r)^t}[/tex] = ( 1016.28 ) / ( 1.06 ) ^8 = $637.63
One-fourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimates that 5 % of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If the garage is robbed, what is the probability the doors ware left open
Answer:
If the garage is robbed, the probability the doors ware left open is 0.625.
Step-by-step explanation:
Denote the events as follows:
X = garage doors open
Y = something is stolen
The information provided is:
P (X) = 0.25
P (Y|X) = 0.05
P (Y|X') = 0.01
Compute probability that the garage is robbed as follows:
[tex]P(Y)=P(Y|X)P(X)+P(Y|X')P(X')\\\\=(0.05\times 0.25)+(0.01\times (1-0.25))\\\\=0.0125+0.0075\\\\=0.02[/tex]
Compute the probability the doors ware left open given that the garage is robbed as follows:
[tex]P(X|Y)=\frac{P(Y|X)P(X)}{P(Y)}\\\\=\frac{0.05\times 0.25}{0.02}\\\\=0.625[/tex]
Thus, if the garage is robbed, the probability the doors ware left open is 0.625.
Why are arithmetic sequences discrete data?
Answer:
If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
Step-by-step explanation:
Answer:
A sequence is a discrete structure used to represent an ordered list.
Step-by-step explanation:
Discrete values are values between the terms if the sequences are not included in the sequence. If you collect all the terms of the sequence into a set, that set will always be discrete, because there's only countably many of them, and every interval is uncountable. So in that sense, yes, sequences are discrete. A sequence is a discrete structure used to represent an ordered list. A sequence is a function from a subset of the set of integers (usually either the set {0,1,2,. . .} or {1,2, 3,. . .}to a set S. We use the notation an to denote the image of the integer n. We call an a term of the sequence.
find percent increase
from 24 teachers to 30 teachers ___
A certain model of remote-control Stanley garage door opener has nine binary (off/on) switches. The homeowner can set any code sequence. (a) How many separate codes can be programmed
Answer:
[tex]Codes= 512[/tex]
Step-by-step explanation:
Given
[tex]Switches = 9[/tex]
[tex]Controls = 2[/tex] ------- on or off
Required
Determine the number of codes to be programmed
Since each switch has any of the on or off controls (i.e on or off), then:
The first switch can be coded in any of the 2 controls
The second switch can be coded in any of the 2 controls
The third switch can be coded in any of the 2 controls
Up till the ninth switch
So, we have that:
[tex]Codes= 2 * 2 *2*2*2* 2 *2*2*2[/tex]
[tex]Codes = 2^9[/tex]
[tex]Codes= 512[/tex]
Hence, there are 512 possible codes
Solve for y: (1/2)y + 1/2 =
3 1/2
Answer:
Step-by-step explanation:
1/2y + 1/2 = 3 1/2
- 1/2 -1/2 subtract 1/2 on both sides to isolate 1/2y
1/2y = 3 divide both sides by 1/2 to get y value
y = 6
Can you use the properties of exponents you discovered to simplify 5^2 · 2^5 ?
5² × 2⁵ = 25 × 32 =. 800
Hope this helps
You walk 2/5 miles to a clothing store. Then you walk another 1/2 miles to a music store. How many miles have you walked in all?
Answer:
9/10ths of a mile. Or 0.9 miles.
Step-by-step explanation:
To get the total it's helpful to look at it in decimals:
2/5 mile = 0.4 miles (1 mile divided by 5 = 0.2 miles, times that by 2)
1/2 mile = 0.5 miles
Add them together = 0.9 miles.
Which is 9/10ths of a mile.
The total distance walked will be equal to [tex]\frac{9}{10}[/tex] miles or 0.9 miles.
It is given that you walk 2/5 miles to a clothing store and then walk another 1/2 miles to a music store.
We have to find out the total distance in miles that you have walked.
What do you mean by fractions ?
A fraction can be defined as a portion or part of any quantity or it defines a part of a whole.
As per the question ;
You walk 2/5 miles to a clothing store
and
then ; walk another 1/2 miles to a music store.
To find out the total distance walked by you in total , we need to add both the distances given in the question.
i.e.,
Total distance will be ;
= [tex]\frac{2}{5}[/tex] + [tex]\frac{1}{2}[/tex]
= [tex]\frac{4+5}{10}[/tex]
= [tex]\frac{9}{10}[/tex] miles
or
= 0.9 miles
Thus , the total distance walked will be equal to [tex]\frac{9}{10}[/tex] miles or 0.9 miles.
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I need help on this,can anyone help me?
Answer:
no nobody can help you
Step-by-step explanation:
write the slope-intercept form of the equation of each line. (DONT do number 26 )
Answer:
25) -4, -1
Equation: -4x-1
27) 4, 4
Equation: 4x+4
29) 5/2,0
Equation: 5/2x
Step-by-step explanation:
Y=mx+b
64 divided by 12 4/5
Answer:
..............5
Step-by-step explanation:
64 ÷12 4/5
Which statement is true about the equation shown below?
10 – 2 (4x – 3) = 2x + 7 – 10x
A.The only solution to the equation is x=9/16
B.The only solution to the
equation is x=9/20
C.The equation has infinite
solutions.
D.The equation has no solution.
Answer: C.The equation has infinite
solutions.
Subject: writing equations
Fake answers-reported cuz I’m rly tryna pass this shi.
Answer:
1) Y-6=-3/2(X-0) 2) Y= -3/2x+6 3) 3x+2y=12
Step-by-step explanation:
Show your work please
will give brainliest...
The square of a certain positive number is equal to 2 more than seven-thirds of that number. What is the number?
6
4
3
Answer:
3
Step-by-step explanation:
x^2=7/3x+2
3^2=7/3(3)+2
9=7+2
9=9
wilt weighs 1 1/2 times as much as Anita. together they weigh 250 lb. find anita's weight. choices for Anita's weight: 90, 100, 105, 150
Anita would weigh 100 lbs