Answer:
See Explanation
Step-by-step explanation:
Given
New function: [tex]y = 3 \cos(10 (x -\pi))[/tex]
We can assume the parent function to be:
[tex]y = \cos (x)[/tex]
The new function can be represented as:
[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex]
Where
A = Vertical stretch factor
B = Period
C = Right shift
By comparison:
[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex] to [tex]y = 3 \cos(10 (x -\pi))[/tex]
[tex]A = 3[/tex]
[tex]c = \pi[/tex]
[tex]\frac{2\pi}{B} = 10[/tex]
Solve for B
[tex]B = \frac{2\pi}{10}[/tex]
[tex]B = \frac{\pi}{5}[/tex]
Using the calculated values of [tex]A,\ B\ and\ c.[/tex] This implies that, the following transformations occur on the parent function:
Vertically stretched by [tex]3[/tex]Horizontally compressed by [tex]\frac{\pi}{5}[/tex]Right shifted by [tex]\pi[/tex]A triangle has sides with lengths of 6 meters, 12 meters, and 16 meters. Is it a right triangle?
Formula(a^2 +b^2=c^2)
Answer:
i'd say so
Step-by-step explanation: none of the sides are the same length as another
HELPPP how do i write an exponential function?!
the table is
x: 0 1 2 3
y: 1 7 49 343
Answer:
[tex]7^{x}[/tex] or "7 to the power of x"
Step-by-step explanation:
Ok! So an exponential function is a function with a variable as an exponent.
x y
0 1
1 7
2 49
3 343
An example exponential function is [tex]2^{x}[/tex]
Now! Let's look at what number multiplies by each of our "y" values to get the following "y" value. 7!
Now let's see if we can put 7 to the power of x ([tex]7^{x}[/tex]) to get the rest of our table.
[tex]7^{0}[/tex] = 1
[tex]7^{1}[/tex] = 7
[tex]7^{2}[/tex] = 49
[tex]7^{3}[/tex] = 343
Now, we know our exponential function is [tex]7^{x}[/tex]
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Dr. Garica is twice as old as his son. Twenty years ago he was 4 times as old as his son was then. How old are they now?
Answer:
Let's let g = Dr. Garcia's age and s = his son's age.
g = 2s, right?
20 years ago, Dr. Garcia was g - 20 years old. He was also 4(s - 20), 4 times his son's age 7 years ago.
g - 20 = 4(s - 20)
g - 20 = 4s - 80
In the first equation, we have g = 2s. We are going to substitute this g into the second equation.
2s - 20 = 4s - 80
60 = 2s
s = 30
So, his son is 30 and Mr. Garcia is 60. 30 x 2 = 60.
20 years ago, his son would have been 10 and Mr. Garcia would have been 40. 10 x 4 = 40.
Step-by-step explanation:
Brainliest?
Answer:
Dr. Garcia's age is 60, and his son's age is 30.
Step-by-step explanation:
Let x be Dr. Garcia's age, and y his son's age.
1. Dr. Garcia is twice as old as his son
x = 2 y
2. Twenty years ago, he was 4 times as old as his son was then
x - 20 = 4 (y - 20)
Substitute x in 2 and solve for y:
2 y - 20 = 4 (y - 20)
2 y - 20 = 4 y - 80
- 20 = 2 y - 80
60 = 2 y
y = 30
Put y back into 1:
x = 2 (30)
x = 60
So Dr. Garcia's age is 60, and his son's age is 30.
Michael left home at 1400 and arrived at his uncle’s home at 1830. What will be the
average speed of his journey if he travelled 108 km?
Step-by-step explanation:
Michael's Journey Time = 4 hours and 30 mins
=
[tex]4.5hours[/tex]
Speed = Distance ÷ Time
Given Distance = 108km
Time = 4.5 hours
Speed =
[tex] \frac{distance}{time} \\ = \frac{108}{4.5} \\ = 24 \frac{km}{h} [/tex]
My bad the answer is
Answer: 24 kilometers per hour
help me please ;n; ;D
Answer:
sure ;D its 12.25 :p
Step-by-step explanation:
Guys pls help me!!!!!
Answer:
Fourth
Step-by-step explanation:
This isn’t high school math by the way.
The circled object is number 4 in the sequence of the object, thus, being the fourth object.
Write an expression for the operation described below.
the product of 2 and c
Answer:
2c or 2 x c
Step-by-step explanation:
Product means multiplication, they put 2 first then c last.
Hope this helps
~R3V0
What is the measure of ZZYW in rhombus WXYZ?
779
w
Z
O A 38.5
OB 51.5
D103
Answer:
A. 38.5
Step-by-step explanation:
Since the angles <XWZ and <XYZ are congruent, <ZYW is just half of <XYZ, so you would just divide 77 in half to get your answer. It's a rhombus, so it works similarly to a square. If one side is congruent, the other is too.
what is the vertex of this parabola? I WILL GIVE BRAINLIEST!!!
(1, -2)
The vertex is simply the turning point.
PLEASE HELP
Lateena solved the equation below. Is her solution correct? Explain why or why not.
Answer:
it isn't correct
[tex]x {}^{2} - 6x - 7 = 0 \\ d = 36 + 28 = 64 \\ x1 = \frac{6 - 8}{2} = - 1 \\ x2 = \frac{6 + 8}{2} = 7[/tex]
Answer:
her solution isn't correct .
because she had done a slight mistake in her calculation.
i.e.
[tex]\sqrt{16}=4 \:\:not \:\:16[/tex]
Step-by-step explanation:
solution given:
x²-6x-7=0
making it a perfect square
we must make it on the form of (a+b)²or(a-b)²
so
x²-2*3*x+3²-3²-7=0
(x-3)²-9-7=0
(x-3)²-16=0
adding 16 on both aide
(x-3)²=16
doing square root on both side
[tex]\sqrt{(x-3)²}=\sqrt{16}[/tex]
x-3=±4
taking positive
x-3=4
adding 3 on both side
x=7
and.
taking negative
x-3=-4
adding 3 on both side
x=-4+3
x=-1
x=-1 or 7
Which is closest to the area of the figure?
A 96 square units
B 86 square units
C 80 square units
D 72 square units
You are considering buying organic milk at the grocery store. A gallon of organic milk costs $1.00 more than a regular gallon of milk. Write an equation to represent the additional cost (C) of buying a gallon of organic mik over time (t) where x represents the cost of a gallon of regular milk
Answer:
C= $1t + x
Step-by-step explanation:
So, an organic gallon of milk is 1 dollar more then regular so the equation starts at $1 + x.
But then buying the organic milk over time is t so you add that to the one dollar since it applies to the organic milk. Now the equation is $1t + x.
But now, the expression we wrote is equal to C so, now the equation is C=$1t + x
HELP HELP HELP !!
use the chart in 4 for 5 pls ! ( DON'T ANSWER QUESTION 4, IT'S 5 )
Answer: First one is J second is B
Step-by-step explanation:
Someone please help me, write a variable equation to represent the situation, and solve it by using inverse operations.
Three times the difference between a number and six is eighteen.
what is the order of the numbers from least to greatest?
-4, 9, 6, -8, -9
please help! whats the correct order
Answer:
-9, -8, -4, 6, 9
Step-by-step explanation:
Answer:
-9, -8, -4, 6, 9
Step-by-step explanation:
negatives are less than positives,
2x +10
what does this equal
Answer:
x=5
Step-by-step explanation:
2x+10
______
2 2
x=5
Answer:
x = 5
Step-by-step explanation:
Step 1: Get the variable alone
Divide x from both sides.
2x + 10
2 2
Step 2: 10 divided by 2
10 divided by 2 equals 5
Answer: x = 5
which graph represents the function y=2/3x-2?
Can u please help me
7.48 unless you need it rounded up to 7.5
HELPPP hurryyy please
Answer:
C) x < 6
Open circle is no line under, closed circle has a line under.
The arrow also goes left so x must be less than 6
solve this question step by step on paper
8.1÷4
Answer:
2.025
Step-by-step explanation:
https://www.symbolab.com/solver/step-by-step/8.1%5Cdiv4%E2%80%8B
Match each system of equations to the inverse of its coefficient to the inverse of its coefficient matrix, A^-1, and the matrix of its solution, X.
Answer: Look st the picture below.
Step-by-step explanation: I got this right on Edmentum.
2x+3=4x(3x-5)
what is the value of x
Answer:
X=11+ √157/12
x= 11-√157/12
Step-by-step explanation:
2x+3=12x^2 -20x
Move all terms to one side.
2x+3−12x2+20x=02x+3−12x ^2+20x=0
Simplify
22x+3−12x^2=0
Use the Quadratic Formula.
a= -12
b= 22
c= 3
mutiple choice pls help ! ( link = report )
Answer:
24 units2
Step-by-step explanation:
Hope it helps !! :)
While making desserts for a bake sale,Paul used 4 scoops of brown sugar as well as 1 1/5 scoops white sugar. How much more brown sugar did Paul use.
Answer:
3 4/5
380%
3.8
plz can i get brainliest
HELPP URGENT!
16. Guests who rent kayaks at a campground must pay an insurance fee and are charged
for each hour they use the kayak. Last year, the total cost for a guest to rent a kayak for
x hours was modeled by the expression 6 + 8x.
This year, the campground doubled the cost per hour for renting a kayak but kept the
insurance fee the same.
Which expression models the total cost for a guest to rent a kayak for x hours at the
campground this year?
A. 12 + 8x
B. 6 + 16x
C. 6 + 4x
D. 3 + 8x
Answer:
B.
Step-by-step explanation:
I had this question on a test and got it right
The expression models that shows the total cost for a guest to rent a kayak for x hours is 6 + 16x.
What is the model about?Note that in the question:
Last year = 6 + 8x.
Looking at the equation one can see that the premium is = 6
kayaks is known to be charging at 8
So we have to double the value which is:
8 x 2 = 16
So therefore, the equation will be:
16x + 6
Therefore, The expression models that shows the total cost for a guest to rent a kayak for x hours is 6 + 16x.
Learn more about expression from
https://brainly.com/question/723406
#SPJ6
Take away 8 from 2 times m
Answer:
Take away 8 from 2 times m
2m - 8
If you are Hispanic what is your most recent favorite novela ? And if you aren't what is your favorite movie?
Answer:
Step-by-step explanation:
Coco
My fav movie?
Space Jam 2
Prob since I’ma basketball fan :)))
is 11 1/3 greater than 34/3
Answer:
Equal
Step-by-step explanation:
The two terms are equal.
When you convert 11 1/3 into an improper fraction, it is 34/3.
In the following triangle, find the values of the angles B and B, which are the
best approximations to the solutions to this ambiguous case?
10
8.2
8.2
)45°
B
BY
A. B = 55° or B = 125°
B. B = 67° or B = 102.2°
C. B = 62.4° or B = 117.6°
D. B = 59.6° or B = 120.40
Answer: option D. B = 59.6° or B' = 120.4°
Step-by-step explanation:
Since the law is a/sinA = b/sinB = c/sinC you can try and verify each of them, by
10/sin(B)=......
and only B = 59.6° or B' = 120.4° give you the closed to 8.2/sin(45)= 11.59655121 which was 11.59401915.
(why the closed? because the question said it is "approximated")
The values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.
What is triangle ?Triangle is a three sides two dimensional surface having three angles.
We have,
A triangle in which,
One of the angle is 45°, and the side opposite to angle 45° is 8.2 with corresponding angle B.
And the side opposite to angle B is 10.
Now,
Using the law of sine,
i.e.
[tex]\frac{SinA}{a} =\frac{SinB}{b} =\frac{Sin c}{c}[/tex]
So,
According to the given triangle,
We get,
[tex]\frac{Sin 45^0}{8.2} = \frac{Sin B}{10}[/tex]
We get,
[tex]Sin B=\frac{Sin 45^0}{8.2} *10[/tex]
On solving we get,
⇒
[tex]SinB= 59.58^0\ \ or\ \ SinB= 120.42[/tex]
i.e.
[tex]SinB= 59.6^0 \ \ or\ \ SinB'= 120.40[/tex]
So,
The option C is the correct answer.
Hence, we can say that the values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.
To know more about Triangle click here
https://brainly.com/question/2773823
#SPJ2
I need help lol. Please dont give me a random link to download just the answer please.
Answer:
(p +1) (4p - 5)
Step-by-step explanation:
1.) Look for 2 numbers that subtract and equal to the middle term (-1)
2.) 4 and 5
3.) 4p^2 +4p-5p - 5
4.) Factor out common factors by grouping the equation by two
5.) 4p(p+1) -5(p+1)
6.) group
7.) (4p - 5) (p+1)