using suitable identity find 231^222-131^2
Given:
Consider the expression is
[tex]231^2-131^2[/tex]
To find:
The value of given expression using a suitable identity.
Solution:
We have,
[tex]231^2-131^2[/tex]
Using the identity [tex]a^2-b^2=(a-b)(a+b)[/tex], we get
[tex]231^2-131^2=(231-131)(231+131)[/tex]
[tex]231^2-131^2=(100)(362)[/tex]
[tex]231^2-131^2=36200[/tex]
Therefore, the value of the given expression is [tex]231^2-131^2=36200[/tex].
Probability is the chance that some event will occur true or false
Answer:
true
Step-by-step explanation:
it is a possibility something will occur
Question number 8 is in the picture below.
Answer:
7 / 10 < 11 / 12
Step-by-step explanation:
cross multiply
Simple interest to find the ending balance $460 at 13% for
2
years
Answer:
$568.16
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 13%/100 = 0.13 per year,
then, solving our equation
I = 416 × 0.13 × 2 = 108.16
I = $ 108.16
The simple interest accumulated
on a principal of $ 416.00
at a rate of 13% per year
for 2 years is $ 108.16.
Using the picture solve for the answer
Answer:
i love you :)
Step-by-step explanation:
B only
cos B = a/c
what is the slope of negative 2y plus 6 equals 4x
Answer:
2
Step-by-step explanation:
The first step is to convert the equation to slope-intercept form (y = mx+b).
2y+6 = 4x
2y+6-6 = 4x-6
2y = 4x-6
2y/2 = 4x/2-6/2
y = 2x-3
In slope-intercept form (y = mx+b), m is the slope. 2 is m in the equation, so therefore it is the slope.
A tree measured 12 1/2 feet tall. Over the next 5 1/2 years it grew to be 51 feet tall. During the 5 1/2 years, what was the average yearly growth rate of the tree?
Answer:
7 feet
Step-by-step explanation:
Let's find how many feet did the tree gain during 5 1/2 years:
51 - 12.5 = 38.5
Now devide this number by 5 1/2 to find average length tree gained yearly:
38,5 / 5.5 = 7
Find the unit rate for 3.99 for 12
Answer:
So the answer is $3.99 / 12 = $0.3325 per can = 33.25 ¢ per can.
Answer:
33.25
Step-by-step explanation:
I NEED HELP HURRRRRRY
Answer:
D
Step-by-step explanation:
P=6 and Q=2
-3(6/2)=-9
3(-6/2)=-9
3*6/-2=-9
-6/-3*2=1
Solve for x : 5= 2+3x. Single choice. answer choices:
x=7/3
x=1
x=-1
Answer:
answer is x=1
Step-by-step explanation:
][[[[[[[[[
Which ordered pair (x, y) can be added to the table so that y is still a function of x?
х
-3
0
-1
10
у
2
8
4
12
OA. (-3,-2)
OB. (0,0)
OC. (3, 2)
OD. (10, 16)
Answer:
x=23
Step-by-step explanation:
Please help I need it
What is 4^3 in exponential form
Step-by-step explanation:
4^3=4×4×4=64 is answer
Answer:
[tex]4^{3}[/tex]
Step-by-step explanation:
Its in exponential form already the exponent is 3.
4 × 4 × 4 (standard form)
And then the actual answer will be 64....4 × 4 × 4 = 16 × 4 = 64
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Find the absolute value of each of the following numbers.
2.54
17.65
14.2
90.44
help with this plz brainliest
Answer:
5. b 6. c 7. d 8. a
Step-by-step explanation:
The perimeter of the first rectangle below is 120 inches. The perimeter of the second rectangle is 180 inches. What are the values of x and v?
A. x = 6; v = 42
B. x = 13; v = 42
C. x = 42; v = 6
D. x = 48; v = 28
Answer:
A
Step-by-step explanation:
Answer:
A. x = 6; v = 42
Step-by-step explanation:
Strategy : Guess and Check
Let's start with A:
If x = 6, then the first rectangle would be 12 + 42 + 6 + 12 + 42 + 6 = 120
Let's see if this checks out with the second rectangle.
6 + 42 + 42 + 6 + 42 + 42 = 180
If want to spend EXACTLY all $40. This means no
money is left. How many pairs of socks ($4) and
gloves ($5) do I have to buy?
Answer:
You would buy 4 pairs of socks and 4 pairs of gloves.
Step-by-step explanation:
5x4= 20
4x5=20
20+20=40
Plot the image of triangle mAABC under a reflection across the y-axis.
Answer:
3
Step-by-step explanation:
3
Answer:
move the bottom of the green triangle back to -4
can someone help me i don't understand ;-
Answer: I think the answer is 150 but i might be wrong
Step-by-step explanation:
pleased help me! I need the question it due today.
Answer:
7. -21-15g
8. x+3y+7
Step-by-step explanation:
use multiplication for number 7
number 8 is just rearranging the numbers
number 9 is confusing since i don't know if it's a point or another symbol
Joseph found the bike he wanted in the clearance section at walmart. It has the price of $88.99, but is in 30% off section. How much will his total be if the sales tax is 9.7%?
Answer:
[tex]Total = \$68.34[/tex]
Step-by-step explanation:
Given
[tex]Price = \$88.99[/tex]
[tex]Discount = 30\%[/tex]
[tex]Sales\ Tax = 9.7\%[/tex]
Required
Determine the payable amount.
First, calculate the amount after discount
[tex]Amount = Price - Price * Discount[/tex]
[tex]Amount = Price (1 - PDiscount)[/tex]
[tex]Amount = \$88.99(1 - 30\%)[/tex]
[tex]Amount = \$88.99(70\%)[/tex]
[tex]Amount = \$62.293[/tex]
The total after sales tax is:
[tex]Total = Amount (1 + Sales\ Tax)[/tex]
[tex]Total = \$62.293 (1 + 9.7\%)[/tex]
[tex]Total = \$62.293 (1 + 0.097)[/tex]
[tex]Total = \$62.293 (1.097)[/tex]
[tex]Total = \$68.335421[/tex]
[tex]Total = \$68.34[/tex]
$68.34 will be paid
PLEASE HELP I WILL MARK BRAINLIST BUT DONT ANSWER FOR THE POINT PLEASE I AM DESPERATE
Answer:
478.32
Step-by-step explanation:
1) the basic formula is:
[tex]A=A_{base}+A_{sidesurface}.[/tex]
2) the Area of the base consists of 6 triangles, they are the same. In one triangle: its base is 8 cm., the height is 6.93 cm, - then the Area of one triangle is 0.5*8*6.93=27.72 (cm²);
[tex]A_{base}=6*27.72=166.32(cm^2).[/tex]
3) the Area of the side surface consists of 6 triangles, they are the same. In one triangle: its base is 8 cm., the height is 13 cm, - then the Area of one triangle is 0.5*13*8=52 (cm.²);
[tex]A_{sidesurface}=6*52=312(cm.^2).[/tex]
4) finally, the required Area:
[tex]Area=A_{base}+A_{sidesurface}=166.32+312=478.32(cm.^2).[/tex]
Can y’all help me on question 30?!
Answer:
If they moved 10 yards that would be 30 feet.
B would be your answer
Step-by-step explanation:
There are 3 feet in 1 yard. Multiply the length value by 3.
3 x 10 = 30
( credits to codyprice )
A candy-wrapping robot can wrap 435 pieces of candy in 5 minutes. Calculate the unit rate. How many pieces of candy can the robot wrap in 1 minute?
Answer:
Step-by-step explanation:
435/5=87
87 candy per min
Find the surface area of the pyramid. The side lengths of the base are equal.
Thank you in advance
Answer:
195.6
Step-by-step explanation:
area of base= 1/2 * 8 * 6.9 = 27.6
area of lateral face= 1/2 * 8 * 14 = 56
total surface area = 27.6 + 56 + 56 + 56 = 195.6
what is w divided by 6=7
Answer:
42
Step-by-step explanation:
w/6 = 7
multiply both sides by 6
w = 42
can someone find what x please?
5x + 14 = 614
what is the product of 7/8 x 4/7
Answer:
1/2
Step-by-step explanation:
7x4= 28
8x7= 56
simplify: 28/56=1/2
Answer: 7/8 x 4/21
(7x4)/(8x21)=28/168
Let's divide the top and bottom by 7...
(28/7)/(168/7)=4/24
Let's divide the top and bottom by 4...
1/6
Step-by-step explanation:
hope this helps have a great night❤️❤️❤️❤️
The graph of y = 4x2 - 4x – 1 is show
Use the graph to find estimates for
the solutions of
i) 4x2 - 4x – 1 = 0
Answer:
Here we have the equation:
y = 4*x^2 - 4*x - 1
And we should have the graph (you can see it below this answer)
Now we want to find the solutions of:
4*x^2 - 4*x - 1 = 0
These solutions will be the two values of x at which the graph of our function intersects the line y = 0, that is the x-axis.
Then we need to find the two values of x at which our graph intersects the x-axis.
In the graph, we can estimate the solutions as:
x = -0.2
x = 1.2
To find the exact solutions we can use the Bhaskara's equation, and we will find that the solutions are given by:
[tex]x = \frac{-(-4) +- \sqrt{(-4)^2 - 4*4*(-1)} }{2*4} = \frac{4+ -\sqrt{32} }{8} = \frac{4 +-5.66}{8}[/tex]
Then the two solutions are:
x = (4 + 5.66)/8 = 11.2075
x = (4 - 5.66)/8 = -0.2075
what is the solution to the equation. first to get it is brainlyist
Answer:
Third from the top, a=
[tex]3 \frac{1}{3} [/tex]
Answer:
a = 3 1/3
Step-by-step explanation:
We first separate the whole numbers from the fractions
So first we do
5 + 3 = 8
Then we add the fractions together
1/3 + 2/3 = 1
Then, we add the sum of the whole numbers and of the fractions
8 + 1 = 9
Thus, a = 3 1/3