A square of side x is cut out of a larger square of side y. What is the area of the remaining
figure?
Answer:
The area of the remaining figure is [tex]y^2-x^2[/tex]
Step-by-step explanation:
Area of the Square Shape
Given a square of side length x, the area is calculated by the formula:
[tex]A_x=x^2[/tex]
It's given a square of side x is cut out of a larger square of side y. Please refer to the image below.
The area of the square of side length y is:
[tex]A_y=y^2[/tex]
The shaded area of the remaining figure is the difference between both areas:
[tex]A=A_y-A_x[/tex]
[tex]A=y^2-x^2[/tex]
The area of the remaining figure is [tex]\mathbf{y^2-x^2}[/tex]
The stopping distance (s) of a truck varies directly as the square of its speed (v). If a truck travelling at 50 mph requires 200 feet to stop, find the stopping distance for a truck travelling at 65 mph.
Answer:
The distance is 338ft
Step-by-step explanation:
Given
Represent distance with s and velocity with v:
When
[tex]s = 200\ ft[/tex]
[tex]v = 50mph[/tex]
Required
Determine the distance when velocity is 65mph
From the question, we understand that:
[tex]s\ \alpha\ v^2[/tex]
Convert to equation
[tex]s\ = kv^2[/tex]
Substitute 200 for s and 50 for v
[tex]200 = k * 50^2[/tex]
[tex]200 = k * 2500[/tex]
Make k the subject:
[tex]k = \frac{200}{2500}[/tex]
[tex]k = \frac{2}{25}[/tex]
To get s when v = 65.
Substitute 65 for v and 2/25 for k in [tex]s\ = kv^2[/tex]
[tex]s = \frac{2}{25} * 65^2[/tex]
[tex]s = \frac{2}{25} * 4225[/tex]
[tex]s = \frac{8450}{25}[/tex]
[tex]s = 338\\[/tex]
Hence, the distance is 338ft
what is the answer for -16x = 80
Answer:
X= 96
Step-by-step explanation:
Because...
-16x=80
X= 80+16
X= 96
Hope this helped
Please help me on how to solve it please 60 points!
Answer:
C. x⁶y⁴/xy²
Step-by-step explanation:
Rearrange (x²y)(x⁴y³) to get
(x²x⁴)(yy³)
When multiplying numbers with exponents with the same base, you add the exponents.
So the equation above can be simplified even further to:
(x²⁺⁴)(y¹⁺³) --- (those are plus signs in between the exponents)
Simplify to
x⁶y⁴
Now you have the top of the equation simplified
so the answer is c
Hope this helps! (would appreciate brainliest; trying to get to next rank)
have a nice day!
the bill came to $136.40 The patrons decided to leave a 15% tip what was the total bill including the tip
Answer:
$156.86Step-by-step explanation:
Total = bill + tip
136.40 + 0.15*136.40 =136.40 + 20.46 = 156.86Look at each equation. Is the equation linear? Select Yes or No.
1/x - 2y =7
A
Yes
B
No
А
Yes
y=x2-8
B
No
7
3x + - = -5
A
Yes
B
No
Answer:
9890
Step-by-step explanation:
khkyuyukrfqz
Answer:
1st one is yes
2nd no
3rd no
Step-by-step explanation:
Which of the following expressions is equivalent to the expression x - (-3) ?
-3x
x + (-3)
x - 3
x + 3
Which set or sets does the number 15 belong to?
A. whole numbers only
B. rational numbers only
C. integers and rational numbers only
D. whole numbers, integers, and rational numbers
Answer:
D. whole numbers, integers, and rational numbers
hope it helps
Help me please!!!!!!!
Answer:
you need to find out how many miles per hour irst then see how many itll be in 24 hours
Step-by-step explanation:
Answer:
D = 6.2t, where t is in hours
Now, solve for 24 hours for t.
D = 6.2(24) = 148.8 miles in 24 hours.
Step-by-step explanation:
First, find out how far the butterfly can fly in 1 hour.
93 miles / 15 hours = 6.2 miles per hour
Let D = the distance in miles the butterfly can fly in t hours.
Your equation will be
D = 6.2t, where t is in hours.
You read the first 20 pages of a book in 25 minutes. You read 36 pages in 45 minutes. Is the number of pages read
proportional to your time?
(i’ll give brainliest to best answer)
Answer:
proportional
Step-by-step explanation:
20 : 25 :: 36 : 45
Product of means = 25*36 = 900
Product of extremes = 20 * 45 = 900
Product of means = Product of extremes
So, the number of pages read is proportional to your time
examine the graph below. select the solutions to the graph from the following points. select three that apply.
Answer:
Options (1), (2), (3)
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Here m = slope of the line
b = y-intercept
Given line on the graph is passing through two points (-3, 0) and (0, 1).
Slope of this line will be,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{1-0}{0+3}[/tex]
= [tex]\frac{1}{3}[/tex]
y-intercept of the line 'b' = 1
Equation of the line will be,
y = [tex]\frac{1}{3}x+1[/tex]
If the points given in the options satisfy the equation, they will be the solution of the line.
Option (1),
For (3, 2),
2 = [tex]\frac{3}{3}+1[/tex]
2 = 2
True.
(3, 2) is the solution.
Option (2)
For (21, 8),
8 = [tex]\frac{21}{3}+1[/tex]
8 = 8
True.
(21, 8) is the solution.
Option(3)
For (-15, -4),
-4 = [tex]\frac{-15}{3}+1[/tex]
-4 = -4
True.
(-15, -4) is the solution.
Option (4)
For (12, 9)
9 = [tex]\frac{12}{3}+1[/tex]
9 = 5
False
(12, 9) is not the solution.
Option (5)
For (-6, 1)
1 = [tex]\frac{-6}{3}+1[/tex]
1 = -1
False
(-6, 1) is not the solution.
Therefore, Options (1), (2), (3) are the solutions.
help cajkdbnckjazdnbhbnbnjkmbnj,m
Answer:
the opposite of the absolute value of -8 is 8
Step-by-step explanation:
Office Depot prints black and white or colored copies.Yesterday,they printed 9 black and white copies for every 2 colored copies if they print 200 color copies how many black and white copies were printed?
Answer:
900 black and white copies were printed.
Step-by-step explanation:
From the information provided, you know that they printed 9 black and white copies for every 2 colored copies and you can use a rule of three to find the amount of black and white copies that were printed if they printed 200 color copies:
9 black and white → 2 colored
x ← 200 colored
x=(9*200)/2=900
According to this, the answer is that 900 black and white copies were printed.
7(r+3) -8(3 y + 5) =
Answer:
7r-24y-19
Step-by-step explanation:
Distribute
7r+21 -8(3y+5)
7r+21 -24y-40
rearrange terms
7r-19-24y
7r-24y-19
Answer:
7r-24y-19
Step-by-step explanation:
HOPE I HELPED
what are the signs of the coordinates (x,y) of point k? pls help
Answer:
(-3,2)
Step-by-step explanation:
look at the dot called K, straight down you see -3 which is your X and if you look straight to the right of point K you see 2 which is your Y
(the whole bolded line that is horizontal is ur X and the whole bolded vertical line is ur Y)
PLEASE HELP ME WITh THIS ONE I WIL PUT BRAINLeST
This equation shows how the total amount of paper Shelby's office has recycled depends on the number of weeks since they started the new recycling plan. p = w + 14. The variable w represents the number of weeks the office has been on the new recycling plan, and the variable p represents the total kilograms of paper recycled. How many weeks will it take Shelby's office to recycle a total of 16 kilograms of paper?
11x26
49x12
12x25
Thanks for helping me!
Answer:
1. 286
2. 588
3.300
how do I solve this
Answer:
Step-by-step explanation:
Rewrite this as -m divided by 4 - 2 = 3
Add the two to 3 to get 5
Multiply 5 by 4 to get 20
m = -20
Which equation represents the vertical line shown on the graph?
A. x-4= 0
B. x +4=0
y-4=0
OD. y+ 4 = 0
Answer:
It's A
Step-by-step explanation:
It's a
Answer:aa
Step-by-step explanation:
A
A 40 of foxes in a wildlife preserve quadruples in size every 13 years. The function y=40•4^4, where x is the number of 13-year period, models the population growth. How many foxes will there be after 26 years
Answer:
640 foxes
Step-by-step explanation:
The actual formula is [tex]y = 40 * 4^{x}[/tex]
Now that we have the real formula we would need to find out how many 13 year periods exist in the 26 years that are being used in the question. We calculate this by simply dividing 26 by 13.
26 / 13 = 2 periods
Therefore, now that we know there are 2 periods of 13 years in the 26-year span, we plug this value into the formula and solve for y...
[tex]y = 40 * 4^{x}[/tex]
[tex]y = 40 * 4^{2}[/tex]
[tex]y = 40 * 16[/tex]
[tex]y = 640[/tex]
Finally, we can see that there should be 640 foxes after 26 years.
Billy worked 36 hours at $11.00 per hour. Johnny worked 40 hours at $12.00 per hour. How much more did Johnny earn than Billy earned?
Step-by-step explanation:
Billy= 36x11=396
Johnny= 40x12=480
480-396=84
Johnny earned 84 more
Answer:
The answer is that Johnny has $84 more than Billy
Step-by-step explanation:
The math is correct, promise!!!
Hi. I need help with these questions.
See image for question.
Step-by-step explanation:
Given
f(x) = 4x³ + 3x² - 2x - 1Divide it by the following:
(a) 2x + 1
4x³ + 3x² - 2x - 1 =(4x³ + 2x²) + (x² + 1/2x) - (5/2x + 5/4) + 1/4 =2x²(2x+1) + 1/2x(2x + 1) - 5/4(2x + 1) + 1/4 =(2x + 1)(2x² + 1/2x - 5/4) + 1/4Quotient = 2x² + 1/2x - 5/4
Remainder = 1/4
(b) 2x - 3
4x³ + 3x² - 2x - 1 = (4x³ - 6x²) + (9x² - 13.5x) + (11.5x - 17.25) + 16.25 = (2x -3)(2x² + 4.5x + 5.75) + 16.25Quotient = 2x² + 4.5x + 5.75
Remainder = 16.25
(c) 4x - 1
4x³ + 3x² - 2x - 1 = (4x³ - x²) + (4x² - x) - (2x - 1/2) - 3/2 =(4x - 1)(x² + x - 1/2) - 3/2Quotient = x² + x - 1/2
Remainder = - 3/2
(d) x + 2
4x³ + 3x² - 2x - 1 = (4x³ + 8x²) - (5x² + 10x) + (8x + 16) - 17 =(x + 2)(4x² - 5x + 8) - 17Quotient = 4x² - 5x + 8
Remainder = - 17
Step-by-step explanation:
Given
f(x) = 4x³ + 3x² - 2x - 1
Divide it by the following:
(a) 2x + 1
4x³ + 3x² - 2x - 1 =
(4x³ + 2x²) + (x² + 1/2x) - (5/2x + 5/4) + 1/4 =
2x²(2x+1) + 1/2x(2x + 1) - 5/4(2x + 1) + 1/4 =
(2x + 1)(2x² + 1/2x - 5/4) + 1/4
Quotient = 2x² + 1/2x - 5/4
Remainder = 1/4
(b) 2x - 3
4x³ + 3x² - 2x - 1 =
(4x³ - 6x²) + (9x² - 13.5x) + (11.5x - 17.25) + 16.25 =
(2x -3)(2x² + 4.5x + 5.75) + 16.25
Quotient = 2x² + 4.5x + 5.75
Remainder = 16.25
(c) 4x - 1
4x³ + 3x² - 2x - 1 =
(4x³ - x²) + (4x² - x) - (2x - 1/2) - 3/2 =
(4x - 1)(x² + x - 1/2) - 3/2
Quotient = x² + x - 1/2
Remainder = - 3/2
(d) x + 2
4x³ + 3x² - 2x - 1 =
(4x³ + 8x²) - (5x² + 10x) + (8x + 16) - 17 =
(x + 2)(4x² - 5x + 8) - 17
Quotient = 4x² - 5x + 8
Remainder = - 17
PLEASE HELP ME!! WILL MARK BRAINLIEST!!
Answer:
choice C (-4x+12i)(x+3i)
Step-by-step explanation:
(-4x+12i)(x+3i)
-4x^2-12i+12i+36i^2
-4x^2-36
The ratio of water and milk in a mixture is 2:3, what percent of water is mixed in the mixture?
Answer:
Step-by-step explanation:
2:3 meaning there's 5 parts
40%water and 60% milk
What is the slope of this line?
-3
4
3/4
-3/4
Help me with number 1 please help ASAP
Pleaseee I’ll mark you as brainlister
Answer:
I can't really see the question but the answer to the very first question on the page is <E is congruent to <H
Step-by-step explanation:
will mark brainliest // help me please
Answer:
Step-by-step explanation:
She starts with $750.
Convert the percent to a decimal.
0.0015
Multiply.
0.0015 * 365
$1160.63
Solve for x, rounding to the nearest hundredth. 3^x = 78
Answer:
3.97
Step-by-step explanation:
Answer:
3.97
Step-by-step explanation:
3^x=78
xln3=ln78
x=ln(78)/ln(3)
x=3.96564727304
x=3.97
please answer quick. Audi's average speed is 232 kilometers per hour. Complete the table. Hours Km
Choose the correct answer to 5825 61.
A 95 R 20
B 95 R30
C 96
D 95
Answer:
C
Step-by-step explanation: