Answer:
4/25
Step-by-step explanation:
It is a fraction with 4 in the numerator and 25 in the denominator.
4
__
25
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]
Read more about difference of two squares at:
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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
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.
I WILL MARK BRAINIEST
Answer:
x=20
4=140
1=40
Step-by-step explanation:
7x=2×+100
5×=100
×=20
4=7(20)=140
1=180-140=40
Answer:
x=20
m<4=140
m<1=40
Step-by-step explanation:
to figure out angle 1 just subtract 140 from 180
What is a number greater than 260 that rounds to 260
Answer:
263 (if u round to the nearest tens)
Step-by-step explanation:
Answer:
261, 262, 263, 264
Step-by-step explanation:
They are all higher and if you go to 5+ you round up.
John wants to make a triangular garden. Which of the following are possible dimensions?
Answer: What are the choices? sorry I had to take up an answer, it wont let me exit out
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.
What transformation happened to the parent linear function when the m is changed to 3? Parent equation: y=x. New equation y=3x
Answer:
Step-by-step explanation:
the funtion was dilated by a factor of 3 since insted or x we have 3x
2:5 =4: ?
Answer
Explain
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
Find the value of n. 103 × n = 630 The value of n is .
Answer:
The answer would be n=6.11
Step-by-step explanation:
The answer would be n=6.125
It is asking for the value of a variable, in this case, the variable is "n" and it can be found by isolating it on one side of the equation using basic mathematical operations such as division, multiplication, addition and subtraction. The question is asking to find the value of n, by solving the equation 103*n = 630.
To find the value of n, we can divide both sides of the equation by 103.
103 * n = 630
n = 630/103
n = 6.125
Therefore, The value of n is 6.125
Learn more about Algebraic Equations at
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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 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)
A bakery baked 16 pies in preparation for Thanksgiving. 3/4 of the pies were already sold. How many pies have been sold?
Answer:
12
Step-by-step explanation:
We have to find 3/4 th of 16
So it's 3/4 * 16 = 12
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.
ttttttttttttttttttttttthhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeerrrrrrrrrrrrrrrrrrrreeeeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
(C)
What is the constant proportionality in the table below?
Answer:
1/2
Step-by-step explanation:
Y is half as large as x. I cant see the options but I know that 10/2=5, 6/2=3 and so on so i would go with 1/2
Can anyone help it would mean alot im struggling right now
Answer:
what do you need? ^-^ I can help you
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
Hi! I just need somebody to explain how this is done.
I don’t understand the process of this well and I cant find many videos that explain it. thanks!
Answer:
Exact form: x = [tex]\frac{10.8}{sin(57)}[/tex]
Rounded to the Nearest Tenth: x = 12.9
Step-by-step explanation:
In the right-angled triangle, we can use the trigonometry functions to find the length of a side or a measure of an angle
In the given figure
∵ ∠C is the right angle
∴ ΔACB is a right triangle
∵ m∠B = 57°
∵ AC = 10.8
∵ AC is the opposite side of ∠B
∵ AB is opposite to the right angle
∴ AB is the hypotenuse
∵ AB = x
→ We can use the function sine to find x
∵ sin∠B = [tex]\frac{opposite}{hypotenuse}[/tex]
∴ sin∠B = [tex]\frac{AC}{AB}[/tex]
→ Substitute the values of ∠B, AC, and AB in the rule of sine above
∴ sin(57°) = [tex]\frac{10.8}{x}[/tex]
→ By using cross multiplication
∵ x × sin(57°) = 10.8
→ Divide both sides by sin(57°)
∴ x = [tex]\frac{10.8}{sin(57)}[/tex]
∴ x = 12.87752356
→ Round your answer to the nearest tenth
∴ x = 12.9
Exact form: x = [tex]\frac{10.8}{sin(57)}[/tex]
Rounded to the Nearest Tenth: x = 12.9
PLS ANWSER QUICK TIMED ASSIGNMENT
Which equation represents a circle with a center at (2,-8) and a radius of 11
(x-8)^2+(y+2)^2=11
(x-2)^2+(y+8)^2=121
(x+2)^2+(y-8)^2=11
(x+8)^2+(y-2)^2=121
The second one, because when you square the right side of the equation you get 11 which is your radius. On the right side you get 2,-8 when you solve for the radius. aka solve for x and y
If the income of the consumer increases, the budget constraint line will shift:
a.
away from the origin, but its slope will remain the same
b.
away from the origin, and its slope will become steeper
c.
toward the origin, but its slope will remain the same
d.
toward the origin, and its slope will become steeper
Answer:
b
Step-by-step explanation:
this is for the 20 characters thing
the virus is already 28% loaded if it is loaded at the rate of 12% every 10 minutes how much time do we have before it is 100% loaded .
Answer:
You will have 40 mins before 100%
Step-by-step explanation:
The number of minutes taken to completely load is 60 minutes.
Given that, the virus is already 28% loaded if it is loaded at the rate of 12% every 10 minutes.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Here,
Remaining virus to load =100-28
= 72
The rate of 12% every 10 minutes
Now, 72/12
= 6
So, 6×10 =60 minutes
Therefore, the number of minutes taken to completely load is 60 minutes.
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Seven more than a number, x, is at most 20
Answer:
x+7 ≤ 20
Just take it step by step:
seven more than a number is a number plus 7 (x+7)- keep in mind we dont know what the number is so we use x to represent the number.
it then says it's equal to at most 20.
This means that it cant equal anything above 20 since 20 is the max. Therefore, it must be 20 and below that x+7 equals
x+7≤ 20
≤ -this symbol means less than or equal to
Step-by-step explanation:
Can you use the properties of exponents you discovered to simplify 5^2 · 2^5 ?
5² × 2⁵ = 25 × 32 =. 800
Hope this helps
Ty takes 1 hour to read 35 pages, 2 hours to read 70 pages, and 3 hours to read 105 pages.
Answer: There are 210 pages that ty read in 6 hours.
Step-by-step explanation:
ILL GIVE BRAINLIEST FOR BEST AWNSER!!!
A football player kicks a ball with a force of 50 N
How does the impulse above change if he doubles the amount of time that his foot is in contact with the ball?
Answer: AP= 30 kgm/s c) Calculate the final velocity of the object, if it was initially at rest. A 0.5kg baseball experiences a 10N force for a duration of 0.1s.
Step-by-step explanation:
not sure need help
Answer:
The answer is 504 ft ^3 check my solution
For every 2 hours, approximately $1,689 worth of product is sold to consumers. How much money will the company for an entire month (30 days)?
1,01340 cuase 1,689 times 2 equal 3,378 and times 30 equal 101340
find percent increase
from 24 teachers to 30 teachers ___