Answer:
Chapter Three: Calculate Total Countertop Square Footage
To calculate the total square footage (after placing seams) you will need to follow this formula: “L” x “W” / 144 = s.f. (Length times width divided by 144 = square feet).
A line with a slope of 4 passes through
the point (2, 1). What is the equation of
this line?
Answer:
y = 4x - 7
Step-by-step explanation:
Slope = 4 ; x1 = 2 , y1 = 1
Slope point form: y -y1 = m(x -x1)
y - 1 = 4(x - 2)
y - 1 = 4x - 2*4
y -1 = 4x - 8
y = 4x - 8 +1
y = 4x - 7
A particular curve is represented parametrically by x=cost, y=−sint, t∈[0,2π]. (a) As t increases on [0,2π], in which direction is the point (x(t),y(t)) moving? the movement is clockwise (b) What is the corresponding Cartesian equation for this curve (the equation in x and y only)? Cartesian equation: functionsequation editor =0. Note! xyy=x2+1y−x2−1=0y−x2−1 (c) Give the smallest and largest values of y taken by this curve functionsequation editor ≤y≤ functionsequation editor .
Answer:
a) clockwise sense
b) x² + y² = 1
c) y ∈ [0,1]
Step-by-step explanation:
a) x = cos (t) y = -sin (t)
for t ∈ [ 0 , 2π ]
for t = 0 point P is x = cos (0) = 1 y = -sin (0) y = 0
The point is on the x axis
Now let´s see what happens for t = π/4
x = cos (π/4) x = √2/2 and y = - sin (π/4) y = - √2/2
Note π/4 is 45°
The coordinates of the new point P ´(t = π/4) are in the fourth quadrant
that means the point is moving clockwise sense.
b) x = cos(t)
y = -sin(t)
Squaring on both sides of each equation we get:
x² = cos²t
y² = sin²(t)
Adding side by side
x² + y² = cos²t + sin²t
x² + y² = 1
Values for y are y ( 0 , 1)
Are these 4 questions correct? If anything is wrong, let me know and tell me what is correct.
Answer:
they're all correct
Step-by-step explanation:
I think, if it's wrong I'm very sorry, but I'm fairly sure they're right
hope this helps:)
help please i need it asap
someone please help me answer this!!
Answer:
10 units is the answer.
Step-by-step explanation:
points are (-3,2) and (-9,-6)
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(-9-(-3))^2 + (-6-2)^2}\\\\d=\sqrt{(-6)^2+(-8)^2} \\\\d=\sqrt{36+64} \\\\d=\sqrt{100} \\\\d=10[/tex]
∴ distance between the points = 10 units
Which of the following is the logical conclusion to the conditional statements
below?
a = b
b=0
А. b=a
B. -as
C.boa
D. a =
Answer:
b
Step-by-step explanation:
Two polls were conducted about the upcoming election for new governor. The first poll said that 45% of the people asked would vote for Mr. Johnson with a margin of error of plus or minus 4.6%. The second poll said that 42% of the people asked would vote for Mr. Johnson with a margin of error of plus or minus 3.6%.
Can the conclusions of both polls be correct?
a. yes, the two corresponding confidence intervals overlap.
b. no, the difference between 45% and 42% is too large.
c. no, the two corresponding confidence intervals do not overlap.
Answer:
A. Yes, the two corresponding confidence intervals overlap.
Step-by-step explanation:
The correct option is - A. Yes, the two corresponding confidence intervals overlap.
Reason -
P(1) = 45% = 0.45
E(1) = 4.6% = 0.046
Confidence Interval = P(1) ± E(1)
= 0.45 ± 0.046
So, the interval is -
0.45 + 0.046 ≤ P ≤ 0.45 - 0.046
⇒0.496 ≤ P ≤ 0.404 .............(1)
Now,
P(2) = 42% = 0.42
E(2) = 3.6 % = 0.036
Confidence Interval = P(2) ± E(2)
= 0.42 ± 0.036
So, the interval is -
0.42 + 0.036 ≤ P ≤ 0.42 - 0.036
⇒0.456 ≤ P ≤ 0.384 ...............(2)
From equation (1) and (2), we get
The two corresponding confidence intervals overlap.
PLEASE HELP ASAP ITS DUE SOON!!!!
Answer:
A
Step-by-step explanation:
Look at the y axis and find the highest point.
Answer:
I believe it would be a: y=30; The maximum height...
Step-by-step explanation:
It's where the line would be, and describes exactly where the line of symmetry would be. Hope this helps :)
Find the domain and range of the function of the graph multiple choice.
Domain
A. X>-1
B. All real numbers except 5
C. X less than or equal to-3
D. All real numbers
Range
A. all real numbers
B. Y less than or equal to -3
C. All real numbers except-3
D. Y> -3
PLS HELP ME, pls no link answers
Answer:
Step-by-step explanation:
y+123
x=178
D=99
Given the graph below, which of the following statements is true?
Answer:
A. the graph represent a one - to - one function because every x-value is paired with only y-value
Step-by-step explanation:
that's it
The prices for different types and amounts of building bricks are given. Select the options that have the same cost per brick.
1500 bricks for $1,110.00
1300 bricks for $845.00
1300 bricks for $845.00
230 bricks for $170.20
230 bricks for $170.20
100 bricks for $75.00
100 bricks for $75.00
35 bricks for $25.90
Answer:
35 bricks for $25.90
35 bricks for $25.90
230 bricks for $170.2
Step-by-step explanation:
Cost per brick = number of bricks / price of bricks
1500/$1110 = $1.35
1300 / $845 = $1.54
230 / $170.20 = $1.35
100 / $75 = $1.33
35 / $25.90 = $1.35
Based on these calculations, the bricks that have the same cost per brick are :
35 bricks for $25.90
35 bricks for $25.90
230 bricks for $170.20
If you can solve it please tell me (20 points)
Answer:
D E false, F true
Step-by-step explanation:
I am trying to find the answer to (in photo). But my calculator wont give me the answer. Does anyone know the answer to it? Or know how to calculate it without a calculator?
Answer:
[tex]\sqrt{13}[/tex] = 3.605551275......
Step-by-step explanation:
[tex]\sqrt{13}[/tex]
3.6
3 [tex]\sqrt{13}[/tex]
-9
36[tex]\sqrt{4}[/tex]00
do you need to know more... ??
9514 1404 393
Answer:
√13 ≈ 3.60555127546
"by hand": 3 4/7 or 398143/110425 or 3.6055 or 3 23/38
Step-by-step explanation:
Most on-line calculators, calculator apps for phone or tablet, and any spreadsheet can calculate this for you. The first attachment shows the result from the Go.ogle calculator.
Here, we describe 4 methods of approximating the root "by hand." That is, the calculations can be done with pencil and paper. They are easily within the capability of a 4-function calculator.
__
Method 1 -- Linear approximation
You can approximate it by hand in the following way.
√13 is between √9 = 3 and √16 = 4. As a first approximation, it is ...
3 + (13 -9)/(16 -9) = 3 4/7 ≈ 3.57 ≈ 3.6
This is a linear interpolation between √9 and √16.
_____
Method 2 -- Babylonian method
The "Babylonian method" can be used to refine this approximation. For the next guess, average this number and the quotient 13 divided by this number.
x = (3 4/7 + (13/(3 4/7))/2 = (25/7 + 13·7/25)/2 = (625 +637)/350 = 631/175
x = 3 106/175 ≈ 3.6057 . . . . . . good to 3 decimal places
One more iteration will double the number of correct decimal digits.
x = (3 106/175 + 13/(3 106/175))/2 = 398143/110425 ≈ 3.60555127915
(correct digits are highlighted)
_____
Method 3 -- "long division"
There is also a "long-division" method that develops the root one digit at a time. This is described in the second attachment, an extract from the NIST web site. For a number like 13, you would use 13.00 00 00 00 as the initial "dividend" to get a 4-digit root.
_____
Method 4 -- continued fraction
Once you realize that the root is between 3 and 4, you can write a "continued fraction" for the fractional part:
3 +x = √13 . . . . . . where x is the fractional part of the root
(3 +x)² = 13 . . . . . . square both sides
x² +6x +9 = 13 . . . expand the square
x(x +6) = 4 . . . . . . . subtract 9 and factor
x = 4/(6 +x) . . . . . . write as an iterator (continued fraction)
At this point, we can say x = p/q for some integers p and q. Then the next iteration is ...
p/q = 4/(6 +p/q) = 4q/(6q +p)
That is, successive approximations of x can be had by the transformation ...
(p, q) ⇒ (4q, 6q+p)
Starting with the linear interpolation fraction x=4/7, the next refinements using this method are ...
(p, q) = (4, 7) ⇒ (28, 46) = (14, 23)* ⇒ (92, 152) = (23, 38)
At this point, you have approximated the root as 3 23/38 ≈ 3.6053, accurate in the third decimal place. Convergence is clearly much slower than using the Babylonian method.
__
* We have reduced the fraction p/q = 28/46 to 14/23 in order to keep the numbers as small as possible. Similarly, 92/152 is reduced to 23/38.
14 in. = _____ ft
Plzzzzzzzz help
Answer:
1.2
Step-by-step explanation:
12 in= 1 foot
Answer:
1.16 feet
Step-by-step explanation:
12 inches in one foot so there are 14 inches in 1.16 feet.
What is 7/10 × 2 5/6
Answer:
1.983 or about 1 1/6
hope this helped!
plz help me with this question and plz do NOT put links in when answers
Answer:
Remember to add up the 2 angles they give you and subtract it from 180. Then you will get the answer for each question.
3186 people contributed to charity. this was an increase of 486 people over last year. Express the increase as a percentage.
Answer:
18%
Step-by-step explanation:
Given data
People that contributed the last year= 3186-486
=2700people
Hence the percentage change
=486/2700*100
=0.18*100
=18%
Hence the change in the number of people that contributed is 18%
Determine whether the data in the table display exponential behavior. Explain why or why not.
Answer:
The Answer is B
Step-by-step explanation:
What are the solutions of the quadratic equation 5x2 – 10x – 15 = 0?
Find the area of the polygon to the nearest square inch.
Answer:
137 in.^2
Step-by-step explanation:
A = nsa/2
where
n = number of sides = 9
s = length of side = 4.7 in.
a = length of apothem = 6.5 in.
A = (9)(4.7 in.)(6.5 in.)/2
A = 137.475 in.^2
Answer: 137 in.^2
Which is bigger 1/4 or 3/5
Answer:
3/5
Step-by-step explanation:
Any help would be appreciated
Answer:
$8.25
Step-by-step explanation:
I don't know how to explain it to you but if I'm wrong tell me I'll try it aagain.
fill in the blanks with the correct missing term of each given sequence
8,11,_,17,20
Answer:
14 i think
Step-by-step explanation:
im not that sure but yeah
can someone show work and explain ??
Answer:
481 cubic inches
Step-by-step explanation:
Volume of the figure = Volume of the triangular prism + rectangular prism
Volume of the triangular prism = Base area * height
Volume of the triangular prism = (1/2*5*3) * 6
Volume of the triangular prism = 15/2 * 6
Volume of the triangular prism = 15 * 3
Volume of the triangular prism = 45in³
Volume of the rectangular prism = 16*7*3
Volume of the rectangular prism = 336in³
Volume of the figure = 45+336
Volume of the figure = 481 cubic inches
$1,000 at 9% compounded semiannually for 2 years
Answer:
Total = principal * (1 + rate / compounding periods ) ^ years * compounding periods
Total = (1,000 * (1 + .09 / 2)^2*2)
Total = (1,000 * (1.045)^4
Total = (1,000 * 1.1925186006)
Total = 1,192.52
Source: http://www.1728.org/compint3.htm
Step-by-step explanation:
what is the point in mulitplucation
Answer:
its good for life and career choices
Step-by-step explanation:
Multiply the numbers just as if they were whole numbers.
Line up the numbers on the right - do not align the decimal points.
Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.
Add the products.
Please explain how you got the answer!
Answer:
16
Step-by-step explanation:
1250/ 80 = 125/8 ≈ 15.6 rounds up to 16
Identify the coordinates for point A. Type your answer in the form (# #), without spaces.
Answer:
(-4,3)
Step-by-step explanation:
Hope this helps. :)
Hi, do you know how to get the ratio?
hope it help you
please follow me
Help me plzzzzzzzzzz I give u BRAINLY
The answer is
X= 3 and Y= -4
Answer:
If you are solving for substitution then the anwser is x+3, and y = -4 (3, -4)
Step-by-step explanation:
First you solve for x
x-2y=11 to x = 11 + 2y
Then you plug it in to the first equation.
-7 (11 + 2y)- 2 = -13 Then Simplify. -77 - 16y= -13
Solve for Y.
Add 77 to both sides. -16y= 64
Divide both sides by -16
y= -4
The Solve for X
x=11 + 2 x -4
X=3
Therefore the anwser is (3, -4)