Condense the right side a single sine expression:
sin(6x) - cos(6x) = R sin(6x - t)
Expanding the right side gives
sin(6x) - cos(6x) = R sin(6x) cos(t) - R cos(6x) sin(t)
Then we have
R cos(t) = 1
R sin(t) = 1
Solve for R and t:
(R cos(t))² + (R sin(t))² = 1² + 1²
R² = 2
R = √2
and
(R sin(t))/(R cos(t)) = 1/1
tan(t) = 1
t = arctan(1) = π/4
So we rewrite the equation as
√2 sin(6x - π/4) = √2
Solve for x :
sin(6x - π/4) = 1
6x - π/4 = arcsin(1) + 2nπ
(where n is any integer)
6x - π/4 = π/2 + 2nπ
6x = 3π/4 + 2nπ
x = π/8 + nπ/3
A recipe for cooking a turkey states to allow 20 minutes for each pound of turkey and to add 5 minutes per pound if the turkey is stuffed. Our turkey weighs 16 pounds and will be stuffed. To have dinner at two o'clock in the afternoon, what time does the turkey need to go in the oven? Allow 1/2 hour for cooling and carving. Explain your answers and your thinking.
Answer:
6:30 A.M
Step-by-step explanation:
That's if you wanted it right at 2 after cooling for 30mins
A city planner wants to build a road perpendicular to D Street. What should be the slope of the new road?
Answer:
0
Step-by-step explanation:
The slope of D street on this graph is "undefined." A perpendicular will have a slope that is zero. That is, D is a vertical line on the map, so the perpendicular will be a horizontal line.
The slope of the new road should be zero.
Find the range of the function.
f(x) = -7x2 – 3
-
Answer:
its x: x< -3
Step-by-step explanation:
ya
Solve for x:
-15 = x/-0.5
x =
/ = fraction symbol
Answer:
7.5
Step-by-step explanation:
You first have to switch the sides of the numbers. After you do that you multiply both sides by -0.5. Finally, you simplify and get 7.5
Brainliest pls?
Answer:
7.5
Step-by-step explanation:
You can multiply both sides by -0.5.
-15×-0.5=7.5
x=7.5
Hope that helps! :)
Anitha types 200 words in half an hour How many words will she type in 12 minutes , if typing speed remains the same
Answer:
she'll type 80 words.
Step-by-step explanation:
200/x=30/12
x=(200×12)/30=80
Check here LOADING... for instructional material to complete this problem.
Evaluate the formula z=
p−p
pq
n when p=
388
1386, n=1386, p=0.30, and q=1−p
Answer:
-1.63
Step-by-step explanation:
Plug in the values listed into the equation
([388/1386] - 0.30) / √(0.30[1-0.30)/1386
-0.02006/0.01231
-1.63
Solve for x.
x+ 26
3x - 32
x = [?]
= [
Enter
Answer:
29x
29
Step-by-step explanation:
x+26
3x-32
x=26
=29
Natalina packs 25 boxes in a 2 hour shift. How many boxes can be packed in a 7.5 hour shift?
Answer:
93.75 boxes
25/2 = 12.5 per hour
12.5*7.5 = 93.75
kelsey bought a new jackat. the jackat costs $ 150.00 she will pay 7% in sales tax how much money will she pay in sales tax
Answer:
10.50
Step-by-step explanation:
Answer:
she will pay $10.50 in sales tax and $160.50 in total
Step-by-step explanation:
first, find 7% of 150.
150*.07=10.5
add 10.5 to the total
Which statement is true
Answer:
[tex]xv=yu[/tex]
Step-by-step explanation:
You can simplify the equation by cross multiplying, or doing it the more 'correct' way that some teachers way want:
[tex]\frac{x}{y}=\frac{u}{v}[/tex]
Multiply both sides by y:
[tex]x=\frac{yu}{v}[/tex]
Then multiply both sides by v:
[tex]xv=yu[/tex]
That's one of your answer options, so no need to do anything else.
help please!! This is due 2 and a half hours. I can’t figure out the problem please help me
Answer:
g(x) = 2|x|: vertical stretch by a factor of 2.
h(x) = ⅓|x|: vertical compression by a factor of ⅓.
w(x) = 4|x|: vertical stretch by a factor of 4.
Step-by-step explanation:
Given the graph of an absolute value parent function, f(x) = |x|:
g(x) = 2|x|Multiplying the parent function by a number, where a > 1 causes a vertical stretch by a factor of a.
Hence, when a > 1, the graph is narrower than the parent function.
In the case of the function, g(x) = 2|x|, the graph represents a vertical stretch by a factor of 2. When a vertical stretch occurs, the y-coordinates will be twice of what the y-coordinates of the parent function. For instance, compare the y-coordinates of f(x) = |x| and g(x) = 2|x| when x = 1.
In the parent graph, f(x) = |x|: when x = 1, y = 1.
In g(x) = 2|x|, when x = 1, y = 2.
h(x) = ⅓|x|Multiplying the parent function by a number, where 0 < a < 1 causes a vertical compression by a factor of a.
Hence, when 0 < a < 1 , the graph is wider than the parent function.
In the case of the function, h(x) = ⅓|x|, the graph represents a vertical compression by a factor of ⅓. When a vertical compression occurs, the y-coordinates will be ⅓ of what the y-coordinates of the parent function.
If you compare the y-coordinates of the parent function, f(x) = |x|, and h(x) = ⅓|x|, when x = 1:
In the parent graph, f(x) = |x|: when x = 1, y = 1.
In h(x) = ⅓|x|: when x = 1, y = ⅓.
w(x) = 4|x|Using the same techniques presented in the previous sections of this post, we could focus on comparing the difference between the y-coordinates of the parent graph, f(x) = |x|, and w(x) when x = 1.
In the parent graph, f(x) = |x|: when x = 1, y = 1.
In w(x) = a|x|, when x = 1, y = 4.
This shows that the graph is vertically stretched by a factor of 4, where the graph appears narrower than the parent function.
Therefore, the function that represents the given graph is w(x) = 4|x|.
eight pounds of potatoes is 16 dollars. how much for 5 punds
Answer: that equals to 1.6
Step-by-step explanation:
What is the slope-intercept form of the linear equation x + 4y = 12?
Quick please!!!!
Answer:
y=(12-x)/4
Step-by-step explanation:
subtract x on both sides, then divide by four
Answer:
Step-by-step explanation:
Slope intercept form: y = mx +b
x +4y = 12
4y = -x + 12
Divide the entire equation by 4
[tex]\dfrac{4y}{4}=\dfrac{-x}{4}+\dfrac{12}{4}\\\\\\y =\dfrac{-1}{4}x+3[/tex]
Which one is linear or nonlinear?
Answer:
broo I have to download it just take a screenshot.....
GEOM AGAIN::: PLS ANSWEE QUICK.
Answer:
multiplication property
The answer is Reflexive property
Will give brainliet no file plz
Answer:
it would be C
Step-by-step explanation:
pls help this is annoying me :) <3
Answer:
f(0) = 2, x = - 2, x = - 1
Step-by-step explanation:
f(0) means what is the value of y when x = 0
x = 0 is a point on the y- axis
Thus when x = 0 , y = 2 , that is
f(0) = 2
(b)
The roots are the values of x on the x- axis where the graph crosses
This occurs at x = - 2 and x = - 1 ← roots
I need help :) pls help me:)
Answer:
A plot is a graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables. The plot can be drawn by hand or by a computer. In the past, sometimes mechanical or electronic plotters were used.
Step-by-step explanation:
not the answer for that but ig this can help u mwa
Answer:
12.15-13.00 is 15 mins
13.00-13.30 is 30 mins
Answer-45 mins
(x^2+ 6x + 9) / (x-3)
Answer:
Simplify:
[tex]\frac{( {x}^{2} + 6x + 9) }{x - 3} [/tex]
Factoring:
[tex] {x}^{2} + 6x + 9[/tex]
The first term is, x2 its coefficient is 1 .
The middle term is, +6x its coefficient is 6 .
The last term, "the constant", is +9
Step-1 : Multiply the coefficient of the first term by the constant 1 • 9 = 9
Step-2 : Find two factors of 9 whose sum equals the coefficient of the middle term, which is 6 .
-9 + -1 = -10
-3 + -3 = -6
-1 + -9 = -10
1 + 9 = 10
3 + 3 = 6 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 3 and 3
[tex] {x}^{2} + 3x + 3x + 9[/tex]
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x+3)
Add up the last 2 terms, pulling out common factors :
3 • (x+3)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x+3)
Which is the desired factorization.
Multiply (x+3) by (x+3)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+3) and the exponents are :
1 , as (x+3) is the same number as [tex](x+3) {}^{1}[/tex]
and 1 , as (x+3) is the same number as[tex](x + 3) {}^{1} [/tex]
The product is therefore, [tex](x + 3) {}^{(1 + 1)} = (x + 3) {}^{2} [/tex]
Complete the puzzle so that each row, column, and diagonal adds up to the same total.
Answer:
0 , 5
-1 , 1
-3
Step-by-step explanation:
Each row, column and diagonal adds up to 3 because of the column on the right.
The bottom row must add up to 3, so the blank there is -3.
The diagonal from the bottom left corner to the upper right corner also must add up to 3, so the blank in the middle is 1.
The column in the middle must add up to 3, so the blank at the top is 5.
The top row also must equal to 3, so the blank on the left is 0.
The left column also must equal to 3, so the last blank left is -1.
What is 10,000 written as a power of 10?
Answer:
the answer shows in the picture, sorry, I tried to type it but it would come out different.
Step-by-step explanation:
10,000 = 10x10x10x10 = 10 4. Notice that the exponent of the ten is simply the number of the zeros.
Hope this helped:)
The large number 10,000 written as a power of 10 as 10⁴.
The given large number is 10000.
Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.
Here, the number 10000 can be written as 10⁴.
Therefore, the number 10,000 written as a power of 10 as 10⁴.
To learn more about the Scientific notation visit:
https://brainly.com/question/18073768.
#SPJ6
Writing in Math Stacy multiplied 5 x 9 and said the nswer was 44. What two patterns could you use to show nat her answer is not correct?
Answer:
5*9= 45
Step-by-step explanation
Well using your hands you can put down your fifth finger and that will give you four fingers on the left and five on the right that then equals 45
the average attendance at a club fell by 7% in 2015. if 2030 fewer people, how many went in 2014?
Answer:Having some trouble with this percentage word problem: The average attendance at Parma football club fell by 7% in 2015. If 2030 fewer people went to matches in 2015
Step-by-step explanation:
help me please! find the angles and solve for x!!!
Answer:
x = 25; 47 degrees, 47 degrees, 86 degrees
Step-by-step explanation:
the two triangles are congruent so they have the same angles
that means 2x - 3 = x + 22
2x - 3 = x + 22
subtract x from each side
x - 3 = 22
add 3 to both sides
x = 25
and this is your answer
assuming that the triangles are isosceles triangles two of the angles are the same
the angles with the x on it are 47 after calculating
that means that the other angle across from it is also 47
a triangles angles added up is 180
47 + 47 + n = 180
the last angle after calculating is 86 degrees
What is the slope of the equation
Answer:
Undefined
Step-by-step explanation:
x=-4 is a vertical line (On a graph) so it would be undefined
If the slope of a line is -6, will that line be steep or shallow
Answer:
shallow
Step-by-step explanation:
Ross took a survey of his classmates' preferred food as well as recording their genders. The results are in the table below: Preferred Food Pizza Burgers Other Total Gender Girl 5 6 4 Boy 7 5 3 Total Find the joint relative frequency that a survey participant is a girl who prefers burgers. 11 0.17 0.2 0.37
Answer:
0.2
Step-by-step explanation:
We will divide the number of girls who prefer burgers by the number of students
[] 5 + 5 + 6 + 4 + 7 + 3 = 30
[] 6 / 30 -> 0.52
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
I WILL GIVE BRAINLIEST
Answer:
3. 7
4. 22
Step-by-step explanation:
What divided by two equals 5? Ten! Then, what plus three equals 10? Seven!
17 + 5 (2 · 22 - 9) = (-6 · 22 + 10) +4 is true!
I hope that this helps!
Answer:
x = 7 and x = [tex]\frac{21}{8}[/tex]
Step-by-step explanation:
(3)
[tex]\frac{x+3}{2}[/tex] = 5 ( multiply both sides by 2 to clear the fraction )
x + 3 = 10 ( subtract 3 from both sides )
x = 7
-----------------------------------------------------------
(4)
17 + 5(2x - 9) = - 6x + 10 + 4 ← distribute parenthesis on left side and simplify
17 + 10x - 45 = - 6x + 14
10x - 28 = - 6x + 14 ( add 6x to both sides )
16x - 28 = 14 ( add 28 to both sides )
16x = 42 ( divide both sides by 16 )
x = [tex]\frac{42}{16}[/tex] = [tex]\frac{21}{8}[/tex]
Write an equation of the line that passes through each point with the given slope.
(9,-8), m=
4
book
y = -43 - 44.
y = 4x - 44
y = 40 - 27
y = 4.1 +44
Question 6
1 pts
Answer:
Step-by-step explanation:
what is 5+3
.dr4d3rf4rybduuuuuuuuuuuuuuuuuuuuuugnUYF$r
Answer:
8
Step-by-step explanation: