Answer:
x/4 -5> -4
add 5 on both sides
x/4 > 1
multiply by 4 on both sides
x > 4
Step-by-step explanation:
sin 20 = cos a Find a
Please be sure to show your work.
Answer:
Step-by-step explanation:
cos a=sin20=sin (90-70)=cos 70
a=70°
Annie wants to eat an entire donut. However, since she only two-years-old, the mother says she can
only have a third of the donut. If the diameter of the donut is 4 inches, how long is the outside edge of
the piece that Annie gets to eat? Round your answer to the nearest hundredth of an inch.
Answer:
4.19 inches
Step-by-step explanation:
Your goal is to find the circumference of the donut and then divide that by 3 to get 1/3 of the outer edge of the donut.
Circumference is 2[tex]\pi[/tex]r
The diameter (double the radius) is 4, so radius (r) is 2
2 * pi * 2 = 4 pi = 12.57 (round to hundredth)
12.57/3 = 4.19
keep in mind that dividing by 3 is the same as multiplying by 1/3
Need help. thank you
Answer:
x = 70.53 degrees
Step-by-step explanation:
equation:
cos-1 = [tex]\frac{adjacent}{hypotenuse}[/tex]
⇒ cos-1 x = [tex]\frac{4}{12}[/tex]
⇒ cos-1 x = 0.33
⇒ x = 70.528
round to the nearest tenth:
⇒ 70.53
Tickets for the amusement park cost $36 each. Which expression can be used to find the cost, in dollars, of k tickets for the amusement park?
Answer: 36k or 36 * k
Step-by-step explanation:
Each ticket costs $36 each and there are k tickets to b purchased.
To find the cost, you need to multiply the cost of one ticket by the total number of tickets which is k:
= 36 * k
That is the relevant equation.
For instance, assume k is 5. The cost of 5 tickets would be:
= 36 * k
= 36 * 5
= $180
Help pls ! This is trigonometric function
Answer:
Amplitude: 4
Period: π
midline: y = 1
Step-by-step explanation:
r(x) = -4 sin(2x) + 1
r(x) = a sin(bx + c) + d where |a| is the amplitude and |b| for the period
a = -4 |a| = 4 : Amplitude = 4
b = 2 |b| = 2 period of sin(x) = 2π
period of sin(bx + c) = 2π/|b| = 2π/2 = π
range of sin(2x) ... -1 ≤ sin(2x) ≤ 1
range of -4 sin(2x) + 1: -4+1 ≤ -4 sin(2x) + 1 ≤ 4+1
-3 ≤ -4 sin(2x) + 1 ≤ 5
midline: y = (-3 + 5) / 2 = 1 y = 1
Answer:
Part A: The amplitude [tex]\displaystyle r[/tex]is [tex]\displaystyle 4.[/tex]
Part B: The period of [tex]\displaystyle r[/tex]is [tex]\displaystyle \pi.[/tex]
Part C: The equation of the midline of [tex]\displaystyle r[/tex]is [tex]\displaystyle y = 1.[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{r(x) = -4cos\:(2x - \frac{\pi}{2}) + 1} \\ \\ r(x) = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{\pi}{4}} \hookrightarrow \frac{\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]
OR
[tex]\displaystyle r(x) = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]
Keep in mind that although this IS a sine function, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the centre photograph displays the trigonometric graph of [tex]\displaystyle r(x) = -4cos\:2x + 1,[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [centre photograph] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{\pi}{4}} = \frac{\frac{\pi}{2}}{2}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle r(x) = -4cos\:(2x - \frac{\pi}{2}) + 1.[/tex]So, with all that being said, to find the period, again, take a look at the above information next to [tex]\displaystyle Wavelength\:[Period].[/tex]Now, the amplitude is obvious to figure out because it is the A-term. Moreover, the midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 1,[/tex]in which each crest is extended four units beyond the midline, hence, your amplitude. Now, there is one more piese of information you should know -- the sine graph in the photograph farthest to the right is the OPPOCITE of the sine graph in the photograph farthest to the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. Now, with all that being said, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
At what rate has she been making deposits to her savings?
Answer:
20 dollars per month
Step-by-step explanation:
85 = 25 + x3
60 = x3
20 = x
can someone please help, I've been stuck on this for hours
Answer:
i love ur profile pic
Step-by-step explanation:
and j
put a dot on 3 for the y side
15. A rectangle has a length of 2x - 1 and a width of 3x + 7. Find the perimeter of this rectangle.
Then find the area of the rectangle.
Answer:
10x + 12 and 6x² + 11x - 7
Step-by-step explanation:
The perimeter (P) of a rectangle is calculated as
P = 2l + 2w ( l is length and w is width )
= 2(2x - 1) + 2(3x + 7) ← distribute parenthesis
= 4x - 2 + 6x + 14 ← collect like terms
= 10x + 12
--------------------------------------------------
The area (A) of a rectangle is calculated as
A = lw
= (2x - 1)(3x + 7) ← expand using FOIL
= 6x² + 14x - 3x - 7 ← collect like terms
= 6x² + 11x - 7
hello, i need help.
find m∠bae
Answer:
125
Step-by-step explanation:
180-55=125
What is the smallest integer $n$ such that $5n + 3 > -10$?
Answer:
-2
Step-by-step explanation:
5n+3= -10
5n = -13
n = -13/5
= -2.6
question is integer
so answer is -2
The smallest integer n is -2
What is an integer?An integer is colloquially defined as a number that can be written without a fractional component.
What is Linear Inequality?In mathematics a linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality.
Given,
5n + 3 > -10
Consider
5n + 3 = -10
5n = -10-3
5n = -13
n = [tex]\frac{-13}{5} =-2.6[/tex]
Therefore the smallest integer n≅ -2
Hence, the smallest integer n is -2
Learn more about Integer and Linear inequality here
https://brainly.com/question/13006729
#SPJ2
A. Y
B. X
C. W
D. Z
¿Cuál es el inverso aditivo de -3?
Answer:
3 is the additive inverse of -3
Step-by-step explanation:
-3 + 3 = 0
What is the HCF of 280, 112, and 140.
Answer:
Step-by-step explanation:
First find prime factorization of the numbers
280=2^3(5)7
112=2^4(7)
140=2^2(5)7
So the HCF is 2^2(7)=4(7)
HCF=28
?????Help help help help help
Answer:
trapezoid
Step-by-step explanation:
Ximena just accepted a job at a new company where she will make an annual salary
of $50000. Ximena was told that for each year she stays with the company, she will
be given a salary raise of $3000. How much would Ximena make as a salary after 5
years working for the company? What would be her salary after t years?
Answer:
65,000
Step-by-step explanation:
3000 x 5 = $15,000
15,000 + 50,000 = 65,000
Answer:
$65000
50,000 + 3,000t
Step-by-step explanation:
Sophia's math class has 6 fewer boys than girls, and there are g girls. Write
an expression for the number of boys.
Answer:
g-6=b
hope this helps
Consider the following 8 numbers, where one labelled
x
is unknown.
42, 4, 1, x, 16, 11, 4, 30
Given that the range of the numbers is 62,
work out 2 values of
x
Answer:
-21 and 63 are the possible values
Someone please help me!
Answer:
A = 58
B =:25
Step-by-step explanation:
C = A + B
83 = 9x + 4 + 4x + 1
83 = 13x + 5
13x = 78
x = 78/13
x = 6
A = 9x + 4 = 9 x 6 + 4 = 58
B = 4x + 1 = 4 x 6 + 1 = 25
The length of a rectangle is 10 centimeters less than its width. What are the dimensions of the rectangle if its area is 171 square centimeters?
Step-by-step explanation:
let the width = y
the length =y-10
area of rectangle=length ×breadth
171 =y-10×y
171=y^2-10y
it turns into quadratic equation
y^2-10y+171=0
cant be solved by factorization therefore use general formula
y=-b+or-√(b^2-4ab)/2a
a=1 (coefficient of y^2) ,b=-10 , c=171
y=--10+or-√{10^2-4(1)(10)}\2(1)
y=10+or-√{100-40}\2
y=10+or-√60/2
y=10+or-(7.74/2)
y=10+3.87
y=13.87cm
OR
y=10-3.87
y=6.13cm
if y=13.87 then width is 13.87&length is 13.87-10
=3.87
OR
if y=6.13 then width is 6.13&length is 6.13-10=-3.87
Write an exponential model given the two points (6,130) and (7,220).
Answer:
y=90x−410
Step-by-step explanation:
in point-slope form, this would be...
y−130=90⋅(x−6)<-----
If you convert this to slope-intercept form this would be...
y=90x−410
The data below represents the number of
runs scored in the last 14 games. Which
statement best describes the data?
A. The peak of the data is 3.
B. The data distribution is symmetrical.
C. The data distribution has several gaps.
D. The range of the data is 6.
I purchased a new book that was on sale for 40% off. I saved $24.00 because of the sale. What was the original price? (6 points)
Pls Answer I need it for my test thats due Monday
Answer:
60
Step-by-step explanation:
24 dividend by 4 equals 6.
this means 10% of the original price is 6.
6 times 10 equals 60
hope this helps!!!
Plzzzz help meeeeeee
Answer:
34 jerseys
8 Social Media ads
$2,400 Spent on Radio ads
$360 per TV ad
Step-by-step explanation:
2856/84 = 34 jerseys
2000/250 = 8
200*12 = 2400
1800/5 = 360
If you know how many you have and how much they cost multiply
If you know how much was spent and how much they cost divide
If you know how much was spent and how many you have divide
What is the equation of the line that passes through the point (–2,1) and has a
slope of
3/2
Answer:
y = [tex]\frac{3}{2}[/tex] x + 4
Step-by-step explanation:
Find b and substitute for y = mx + b so
1 = 3/2(-2) + b
1 = -3 + b, so b = 1+3, b=4
Put it all together y = [tex]\frac{3}{2}[/tex] x + 4
what is the function of f(0)
Answer:
Steps:
1. The zero of a function is the x-value that, when plugged into a function, makes the function equal to 0.
2. f(x) means that we have a function of x.
3. The zero of the function f(x)=2x-2 is the x-value that makes f(x) = 0.
4. So we can just set the function equal to 0, and then solve for x!
Hope this helps
Step-by-step explanation:
Hey can some one help me, Define a variable and write each phrase as an algebraic expression:
1. Six feet less than the width
2. 6 hours more per week than Theodore studies
3. Six years less than Tracy's age
4. 2 less than one-third of the points that the panthers scored
Answer:
1. d - 6 ft
where d is the width
2. t + 6 h/week
where t is the amount of time per week Theodore studies
3. t’ - 6 a
where t’ is Tracy’s age
4. (k/3) - 2
where k is the points that the panthers scored
Step-by-step explanation:
Write the variable and do the operations as described!
“less than” means subtraction, “more […] than” means addition and “one-third of” means division by 3.
What integer is closet to n
Answer:
Rounding to the Nearest Integer
The most common type of rounding is to round to the nearest integer. The rule for rounding is simple: look at the digits in the tenth's place (the first digit to the right of the decimal point).
What is the square root of √25
Answer:
5 is the square root of 25
Step-by-step explanation:
Have a great day!
and can I maybe please have brainliest?
Thanks!
Answer:
5 is the square root of √25
Step-by-step explanation:
hope it helps you
whats 3x3+4 use pemdas ?
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
First, we do 3x3 which is 9.
Then, we do 9+4=13
Hope this helps =]
Identify the expression equivalent to 16x + 24y
1. 2 (8x + 24y)
2. 8 (8x + 3y)
3. 8 (2x + 3y)
4. 4 (2x + 6y)