Answer: -a2b2 + 9a2 + 24ab + 4b2 - 36
Step-by-step explanation:
A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
AB = BA is the commutative property of multiplication.
- AB + AB equals zero and is therefore eliminated from the expression.
Pharaphrase it if used.
The Fresh and Green Company has a savings plan for employees. If an employee
makes an initial deposit of $1000, the company pays 8% interest compounded
quarterly. If an employee withdraws the money after five years, how much is in
the account?
Answer:
$1400
Step-by-step explanation:
The Fresh and Green Company has a savings plan for employees. If an employee makes an initial deposit of $1000, the company pays 8% interest compounded quarterly. If an employee withdraws the money after five years, how much is in the account?
First you need to make 8% into a decimal.
To do that you need to move the decimal point to spaces to the left.
8. ----- 0.8 ----- 0.08
The decimal is 0.08.
Now multiply $1000 by 0.08.
Which is $80.
Now do $80 times 5 years.
which is $400 interest.
Now add $400 to $1000.
Which is $1400.
Prime number after 167, 118, 82, 57, 41,
The prime numbers after 167, 118, 82, 57, 41 are 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.
Prime numbers are numbers that are divisible by 1 and itself.
This are number greater than one with only two factors which are 1 and itself.
In other words, this number, when they are divided by another number other
than 1 or itself , one will get a remainder that is not zero.
Example of prime numbers are 2, 5, 7, 11, 13 etc.
The prime numbers after 167, 118, 82, 57, 41 are as follows:
37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.
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Solve for the value of X
Check the picture below.
Which group of numbers is listed from least to greatest?
0 -2,3,5,-8,9
0 -4, -6, -7,-8, -9
0 -2,-1, 0, 4,9
O 7,4, -6, -7, -9
Answer:
the third one
zero should always come after the negatives, and a whole number should always end the set.
Given f(x), match each expression to its correct value
Answer:
-11, f(-5) 1
Step-by-step explanation:
In a video game, Adrien earns 5 bonus spins on each of the first three levels and 2 bonus spins on each of the next three levels. How many bonus spins does Adrien earn on all six levels?
Answer:
I think the answer is 21.
Step-by-step explanation:
So, there are 5 spins for 3 levels + 2 spins for another 3 levels. This would be 5(3)+2(3)
15+6
21
Question 1
To adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.
a. Write an expression in the simplest form that represents the amount (in dollars) it costs to adopt x dogs.
b. What does the coefficient of the expression in part (a) represent?
Answer:
1a. 195x
1b. 195
Step-by-step explanation:
1a. To determine the expression, we know that we need to get x amount of dogs and we need to pay $80+$65+$50 for each dog so we would be $195x.
1b. The coefficient of an expression is where a constant is multiplied by a variable and the integer is the coefficient. The integer that is being multiplied by the variable is 195 so 195 is the coefficient
hope this helps!
Mark me as brainiest if you can
PLEASE HELP ME WITH THIS!!
Answer:
A 3x10^-6
Step-by-step explanation:
Solve the exponential equation by the method of relating the bases, first rewriting the equation in the form
Answer:
x = 1/3
Step-by-step explanation:
Both bases can be written as powers of 6.
36^x = (1/6)^(x-1) . . . . . . given
(6^2)^x = (6^-1)^(x -1) . . . . . bases as powers of 6
6^(2x) = 6^(-x+1) . . . . . . . . . simplify exponents
2x = -x +1 . . . . . . . . . . . . . . . .equate exponents of the same base
3x = 1 . . . . . . . add x
x = 1/3 . . . . . divide by 3
A fair coin is flipped 10 times. What is the probability that exactly 4 of the 10 flips come up heads
105/2^9
Step-by-step explanation:
The probability of getting a head in a single toss
p=12
The probability of not getting a head in a single toss
q=1−12=12
Now, using Binomial theorem of probability,
The probability of getting exactly r=4 heads in total n=10 tosses
=10C4(1/2)4(1/2)10−4
=10×9×8×7/4! 1/2^4 1/2^6
=2^44⋅9⋅35/24(2^10)
=105/2^9
Answer:
P = 0.205 (20.5%)
Step-by-step explanation:
[tex]f(x)=(10nCr4)(.5)^{4} (.5)^{6} =(210)(0.0625)(0.015625)=0.205[/tex]
Hope this helps
Which example illustrates the associative property of addition for polynomials? [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = (2x2 + 5x) + [(4x2 – 4x) + 5x3] [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = [(4x2 – 4x) + (2x2 + 5x)] + 5x3 (2x2 + 5x) + [(4x2 – 4x) + 5x3] = (2x2 + 5x) + [5x3 + (4x2 – 4x)] [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = [(5x + 2x2) + (–4x + 4x2)] + 5x3
Answer:
A
Step-by-step explanation:
Answer: first one
Step-by-step explanation:
omm it’s A
HELP!!!! If you help me with this you’ll be my favorite person ever
Pls help I’ll brainlest ASAP and add extra points I’m failing
Step-by-step explanation:
you drew already the right things, you have everything.
so, what is the problem ?
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.
so, for the 2 marked points you showed correctly the differences :
x changes by +8 (from -4 to 4).
y changes by -2 (from 3 to 1).
so the slope is -2/+8 = -1/4
the y-intercept we also see directly in the chart : +2.
Which function has zeros at x = 10 and x = 2?
f(x) = x2 – 12x + 20
f(x) = x2 – 20x + 12
f(x) = 5x2 + 40x + 60
f(x) = 5x2 + 60x + 100
Answer:
f(x) = x2 – 12x + 20
Step-by-step explanation:
if it has those zeros, then it is (x-10)(x-2)
if you multiply that out, you get x^2 - 12x +20
One weekend Bill earned 3 times as much as Jim. Tom earned $5 more than Jim. In all, they earned $60. How much did each earn?
Answer:
Step-by-step explanation:
J
B = 3J
T = J + 5
J + 3J + J + 5 = 60
5J = 55
J = $11
B = $33
T = $16
The amount earned by Jim, Bill and Tom is equal to [tex]\boldsymbol{\$ 11},\boldsymbol{\$ 33},\boldsymbol{\$ 16}[/tex].
"Important information"Let .
The amount earned by Jim be [tex]\boldsymbol{x}[/tex].
Amount earned by Bill [tex]=\boldsymbol{3x}[/tex]
Amount earned by Tom [tex]=\boldsymbol{x+5}[/tex]
Total amount earned by all [tex]=\boldsymbol{\$ 60}[/tex][tex]x+3x+x+5=60\\5x=55\\x=11[/tex]
So,
Amount earned by Jim [tex]=\boldsymbol{\$ 11}[/tex]
Amount earned by Bill [tex]=3(11)[/tex] [tex]=\boldsymbol{\$ 33}[/tex]
Amount earned by Tom [tex]=11+5[/tex] [tex]=\boldsymbol{\$ 16}[/tex]
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Solve 4(x + 6) = 2(2x + 12)
Answer:
Infinitely many solutions
Step-by-step explanation:
[tex]4(x+6)=2(2x+12)[/tex]
[tex]4(x+6)=2(2(x+6))[/tex]
[tex]4(x+6)=4(x+6)[/tex]
Infinitely many solutions
Answer:
Hiya There....!!!
______________________
Any value of x makes the equation true. Always true
Interval Notation:
( − ∞ , ∞ )
_______________________
“Most things are forgotten over time. Even the war itself, the life-and-death struggle people went through is now like something from the distant past. We’re so caught up in our everyday lives that events of the past are no longer in orbit around our minds. There are just too many things we have to think about everyday, too many new things we have to learn. But still, no matter how much time passes, no matter what takes place in the interim, there are some things we can never assign to oblivion, memories we can never rub away. They remain with us forever, like a touchstone.”
― haruki murakami, Kafka on the Shore__________________________
Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn
A sixth grade class collects 176 items for recycling three out of every eight items are cans the rest are bottles how many bottles does the class collect
Answer:
110
Step-by-step explanation:
We know that 5/8 of 176 so the answer is 110.
110 bottles class collect.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A sixth grade class collects 176 items.
Now, three out of every eight items are cans
= (8- 3)
= 5
So, number of bottles class collect
= 176 x 5 / 8
= 22 x 5
= 110
Hence, 110 bottles class collect.
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Help someone I don’t know the answer and I need help!
Answer: I believe the answer is (A) (-4,4) because the only corner that's going up towards the (f) is stopped over the 4's.
The absolute value of | – 71 – 19 – 18% is -16.
TRUE
FALSE
Answer: False i think
Step-by-step explanation:
You use substitution to solve a system of equations and, after simplifying, end with a statement that says 7 7. Describe what this statement means about the number of solutions and about the graph of the system.
Answer:
Sample Response: Since the statement is true, there are an infinite number of solutions to the system. This statement also indicates that the lines are equivalent.
i just really dont get it
Answer: 22.02
Step-by-step explanation:
Just add them all together.
Find the length of the second base of a trapezoid with one base measuring 12 feet,a height of 4,and an area of 58 square feet.
Answer:
Step-by-step explanation:
A = ½(b₁ + b₂)h
b₂ = 2A/h - b₁
b₂ = 2(58)/4 - 12
b₂ = 17 ft
The notebook shows the money Lyla earned and spent over two days. A positive number represents money earned. A negative number represents money spent.
Answer:7 + (-5)= 2
Step-by-step explanation:
7 + (-5)= 2 i hope its right'
Enter the number that belongs in the green box
Answer:
8
Step-by-step explanation:
8
Show that sec(x)-tan(x)sin(x)=cos(x)is an identity for any value of x.
Here is one way to show that the left side is identical to the right side.
[tex]\sec(x)-\tan(x)\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin(x)}{\cos(x)}\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{1-\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{\cos^2(x)}{\cos(x)} = \cos(x)\\\\\\\cos(x)=\cos(x)\\\\\\[/tex]
Throughout the entire process, the right hand side stayed the same. When working on identities, it's important to keep one side the same while you transform the other side.
Despite the two sides being identical when simplified, there is the issue of cos(x) being zero in the denominator on the left hand side. Be sure to account for this when forming the domain. No such issue occurs on the right hand side. For instance, the value x = pi/2 leads to a division by zero error when in radian mode. So if I was your teacher, I would revise the "for any value of x" and replace it with something along the lines of "for any x value in the domain".
Calvin and Sanjay are each thinking of a number. If you multiply Sanjay’s number by 3 and subtract
2, you get Calvin’s number. If you take half of Calvin’s number and then subtract 2, you get Sanjay’s
number. What number is each thinking of?
Answer:
Calvin's number: 16 Sanjay's number: 6
Step-by-step explanation:
6 x 3 = 18, 18 - 2 = 16
16 / 2 = 8, 8 - 2 = 6
*Write each expression*
4) the difference of five and a number w
5) double a number
6) the sum of seventeen and a number y
7) twelve less than the product of m and two
8) eleven less a number
Answer:
5-w
2n
17+y
2m-12
n-11
(n stands for number)
Two linear equations are represented by using the tables below.
The data points for equation A are plotted on the coordinate plane below and are connected by using a straight line.
What is the solution to the system of equations?
A. (–6, –4)
B. (–5, –4)
C. (–3, –2)
D. (0, 1)
Answer:(-3,-2)
Step-by-step explanation:i did the test
Answer: C -3,-2
Step-by-step explanation:
ANSWER FOR 30 POINTS
Answer:
one solution.
Step-by-step explanation:
using elimination, u can get one solution
A 5 foot wide painting should be centered on a 11 foot wide wall. How many feet (x) should be on each side of the painting?
Answer:
3 feet on each side
Step-by-step explanation:
11 - 5 = 6
6/2 = 3