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Explanation:
The function can be broken down into the form
f(x) = g(x) - 3*h(x)
where,
g(x) = sin(x)
h(x) = cos(x)
Both g and h are sinusoidal with the same period of 2pi. Therefore, the linear combination of these functions is also sinusoidal with the same period of 2pi. If the periods didn't match up, then it's likely the function isn't sinusoidal and instead some other complicated crazy curve.
Extra notes:
A sinusoidal curve is one that has a steady up and down smooth sine curve to it. Think of a simple ocean wave. A cosine curve is really a sine curve in disguise. It's been phase shifted 90 degrees or pi/2 radians. It's not a coincidence that the word "sine" is found in "cosine".When I say "period of 2pi", I mean the curve repeats itself every 2pi radians. This is equivalent to 360 degrees. The repeating pattern goes on forever.I need help with 21 22 and 23
Hope this helps :)
Answers:
This can be found by using the combinations and permutations formulas.
Combinations being the C equation and Permutations being the P equation.
21: [tex]C_{6}(21) = \left[\begin{array}{ccc}21\\6\end{array}\right] =\frac{21!}{6!(21-6)!}=\frac{21*20*19*18*17*16}{6*5*4*3*2*1} = 54264[/tex]
answer: 54264
22: [tex]C_{2}(n) = \left[\begin{array}{ccc}n\\2\end{array}\right] =\frac{n!}{2!(n-2)!}= answer[/tex]
answers:
Art: 15
Writing: 21
Technology: 28
23: [tex]P(n,r)=\frac{6!}{(6-6)!}=720[/tex]
answer: 720
Explanation:
A permutation is an act of arranging the objects or numbers in order. Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.
(50 points + Brainliest) Create an equivalent expression that includes a set of parentheses that make the value of the expression 13. Remember, you can have 2 or more numbers within the set of parentheses.
Answer:
1/2 x [(12/2)-6]+13
Step-by-step explanation:
something like that. hope it helped sista
The United States has an approximate population of
3.3 x 10^8people. Each person in the Unitd States
consumes an average of about 14.000 grams of rice
per year.
Brazil has an approximate population 2.1 x 10^8
people. Each person in Brazil consumes an average of
about 5 x 10^4 grams per year.
How many times as many grams of rice does each
person consume an average in Brazil as in the United
States> Round your answer to the nearest tenth.
Using proportions, it is found that each person consumes 3.57 times as many rice in Brazil and they do in the United States.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, we have that:
The rate in Brazil is of [tex]5 \times 10^4[/tex].The rate in the United States is of [tex]14000 = 1.4 \times 10^4[/tex].Hence, the rate between the consumption in Brazil and in the United States is given by:
[tex]r = \frac{5 \times 10^4}{1.4 \times 10^4} = 3.57[/tex]
Each person consumes 3.57 times as many rice in Brazil and they do in the United States.
More can be learned about proportions at https://brainly.com/question/24372153
Pls Helo ASAP WILL GIVE BRAINLIEST and 100 points. Open the document below and answer all the questions.
Answer:
The third question is asking you to use the diamond method to solve. At the top of the x would be -16 and the bottom would be -6. The left side would have -8 and the right side would have 2. So the factored form would be (n-8)(n+2)
Step-by-step explanation:
The same thing applies to part b. The top of the x would be 15 and the bottom -8. The left would be -3 and the right would be -5. The factored from would be (x-3)(x-5)
Answer:
Wow! what a worksheet lol! I think I got all your answers here!
Step-by-step explanation:
Which numbers are not perfect squares?
24
25
14
36
18
20
16
Answer:
20, 18,14,24 are not perfect squares.
Answer:
24, 14, 18, 20
Step-by-step explanation:
A perfect square is a number that can be expressed as the product of two equal integers. Numbers 24, 14, 18, and 20 are not products of any equal numbers. The rest are.
5 x 5 = 25
6 x 6 = 36
4 x 4 = 16
hope this helps!
492+817=492,817 is it correct
Answer:
I support, but this is actually the addition.
492+817 = 1309, yes :)
Step-by-step explanation:
Answer the question below!
Answer:
1000
Step-by-step explanation:
High school only - 1019 and round to the nearest thousand
what is the correct answers NEED ANSWER ASAP
Answer:
Your Answer is 11 inches by 2 inches
Step-by-step explanation:
Area of Rectangle: Area = Length * Width
Given information:
Area = 22 in^2Length = 2x - 1Width = x - 4Put that into the Formula.
Area = Length * Width
22 in^2 = (2x - 1) * (x - 4)
Solve.
22 in^2 = (2x - 1) * (x - 4)
[tex]22 = (2x^2 - 9x + 4)\\2x^2 - 9x - 18 = 0[/tex]
Factor it.
(2x^2 - 9x - 18) = 0
(2x + 3)(x-6) = 0
[tex]x=-\frac{3}{2} ,6[/tex]
Plug that into the Length and Width to find the actually Length and Width.
Length:
[tex]2x - 1\\2*-\frac{3}{2}-1\\ -3-1\\-4\\[/tex]
Width:
[tex]x - 4\\-\frac{3}{2}-4\\ -\frac{11}{2}[/tex]
Area = Length * Width
Area = - 4* -11/2
Area = 22
Length:
[tex]2x - 1\\2*6-1\\ 12-1\\11\\[/tex]
Width:
[tex]x- 4\\6-4\\ 2[/tex]
Area = Length * Width
Area = 11 * 2
Area = 22 in^2
richard walks a distance of 4km to school in an hour. how far can he walk in 5 and a half hours
Answer:
22km
Step-by-step explanation:
5 x 4 = 20
1 x 4= 4
4 divided by 2 is 2
20+2=22km
whats a cooler number 86 or 42?
Answer:
86
Step-by-step explanation:
because 86 reminds me of 69
5
7. Julia's favorite snack comes in a box shaped like right triangular prism. The dimensions of the prism
are shown in centimeters (cm) below.
14.4 cm
2:6 cm
3.0 cm
V = Bh
What is the volume of the box? Round your answer to the nearest whole number.
A. 43 cm3
B. 56 cm3
C. 112 cm3
D. 137 cm3
Answer: C
Step-by-step explanation:
The value of y is directly proportional to the value of x. If y = 45 when x = 140, what is the value of y when x = 70?
Step-by-step explanation:
Y is directly proportional to X" can be rewritten as a mathematical expression of the form Y = KX
"K" is the constant of proportionality and must be determined from the initial information.
If Y = 45 when X=140 means 45 = 140K
K = 45/140 = 0.32
Now that we know the value of K, we can use it to calculate the value of Y when X=70
Y = (0.32)(70) = 22.4
Question 14 of 15
Len wants to learn more about red kangaroos. Which of the following is a
statistical question Len could ask?
O A. How tall is a red kangaroo?
O B. Are there red kangaroos in Asia?
• C. Are red kangaroos an endangered species?
O D. What iS the tallest red kangaroo ever recorded?
Answer:
A statistical question Len could ask is "How tall is a red kangaroo?"
Step-by-step explanation:
A statistical question is something that we can ask and test hypotheses about using collected data. There will not be a specific answer, but rather multiple answers and we can average them in a sampling distribution.
Let's examine each question:
"How tall is a red kangaroo?"
There is not a specific height for each kangaroo, so we can take the averages of many different samples and find the "true mean" in the sampling distribution. This is a good example of a statistical question because data can be collected on red kangaroos and means can be calculated."Are there red kangaroos in Asia?"
"Are red kangaroos an endangered species?"
What is the tallest red kangaroo ever recorded?"
These are all examples of non-statistical questions. They are "yes" or "no" questions, and we cannot take multiple samples to determine the answer. Rather, there is a single answer that we do not need to test hypotheses or perform any statistical calculations.i will give Brainliest if half of the questions are answered
Answer:
Sorry I only know nuber 11 witch is 15
_
100
Step-by-step explanation:
And that includes the point (-5’2) has a slope of -4. what is its equation in point slope form?
Answer:
The equation of the line in point-slope form is y - 2 = -4(x + 5).
Step-by-step explanation:
Use the point-slope equation: [tex]y-y_1=m(x-x_1)[/tex].
Substitute the point (-5, 2) and the slope m = -4 into the equation.
[tex]y-(2) = -4(x - (-5))[/tex][tex]y-2=-4(x+5)[/tex]If we stop here, this is the equation of the line in point-slope form.
which expressions are equivalent to 4x^2-25? Select all that apply
Calculate the area of the red triangle to find the area of the garden. Show your work.
Side A is 90ft
Side B is 120
Side C is 150.
HELP!!! Solve the compound inequality.
x − 3 < 2 or x + 5 > 12
Answer:
Step-by-step explanation:
The compound Inequality is: 1. x -3 < - 9Adding 3 to both sidesx -3 + 3 < -9 + 3x < -6x ∈ (-∞,-6)2. x + 5 ≥ 12Subtracting ,5 from both sidesx +5 -5 ≥ 12 -5x ≥ 7x ∈ [7 , ∞)Combining , solution of inequality 1 and inequality ,2→→x ∈ (-∞,-6) ∪x ∈ [7 , ∞)Depicting on the number line ,the solution setOption C: A number line with an open circle on −6, shading to the left, and a closed circle on 7, shading to the right
What should I put in A, B?
Should I put 5 or 1 in A ?
9 or 4 in B?
Answer:
n(A) = 5 and n(B) = 9
Step-by-step explanation:
It should be 5 in A and 9 in B
PLEASE HELPPPPPPPP!!!!
Answer:
See below ~
Step-by-step explanation:
1.
x² + y² + 14x - 2y = -1[x² + 14x + 49] - 49 + [y² - 2y + 1] - 1 = -1(x + 7)² + (y - 1)² = 49Centre = (x, y) = (-7, 1)Radius = √49 = 72.
x² + y² - 10x + 8y - 8 = 0[x² - 10x + 25] - 25 + [y² + 8y + 16] - 16 - 8 = 0(x - 5)² + (y + 4)² = 49Centre = (x, y) = (5, -4)Radius = √49 = 73.
Points are : (-2, 1) and (4, 3)D = √(4 + 2)² + (3 - 1)²D = √36 + 4D = √40D = 2√10What is the area of the shaded region?
Answer:
A = 59 in²
Step-by-step explanation:
the area (A) of the shaded region is calculated as
A = area of outer triangle - area of inner triangle
= [tex]\frac{1}{2}[/tex] bh - [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
= [tex]\frac{1}{2}[/tex] × 13 × 14 - [tex]\frac{1}{2}[/tex] × 8 × 8
= 91 - 32
= 59 in²
Please, I need an answer to this question.
meter and area of the figure.
6x + 2
and A=
Answer:
o
Step-by-step explanation:
because 6x is B and 2 is C so that means A 0
Which equation is equivalent to 7(r + 4) - 3?
7*r+7*4*3
7*r*7*4-3
7*r+7*4-3
7*r+7*4
Answer: Choice C
7*r+7*4-3
=========================================================
Reason:
We use the distributive property to go from 7(r+4) to 7*r+7*4
Multiply the outer 7 by each term inside.
Then the -3 tags along without any changes to it
So we go from 7(r+4) - 3 to 7*r+7*4 - 3
This can be simplified further to 7r+25, but your teacher has chosen not to simplify at this time.
Find the measure of angle
Answer:
112 degrees
Step-by-step explanation:
180-68=112
Since they are supplementary they form a straight angle, or 180 degrees so the angle AED is 112
Answer:
112
Step-by-step explanation:
∠AED and 68 are Linear pair angles.
That is their sum will be equal to 180,
∠AED + 68 = 180
∠AED = 180 - 68
∠AED = 112
Chris finished doing chores at 10:28 AM.
He started at 8 :54 AM.
How long was he doing chores?
Answer:
94 minutes
Step-by-step explanation:
To get to 9:00, we add 6 minutes. From 9 to 10, there's 60 minutes. From 10 to 10:28, there's 28 minutes.
If we add them all together we get 94 minutes or 1 hour and 34 minutes.
Hope this helps.
Answer:
1:34 hours
Step-by-step explanation:
Step 1: Determine how long was Chris doing chores
10:28 AM - 8:54 AM
9:88 AM - 8:54 AM
1:34 hours
Answer: 1:34 hours
f(x)=−2x+16
g(x)=4x+10
please give me the intersection points
Answer:
(1, 14)Step-by-step explanation:
The intersection is when both functions have same coordinates
f(x) = g(x)Substitute to get
- 2x + 16 = 4x + 104x + 2x = 16 - 106x = 6x = 1The y- coordinate is
y = - 2(1) + 16 = -2 + 16 = 14So the intersection point is (1, 14)
Answer:
(1, 14)
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=-2x+16\\g(x)=4x+10\end{cases}[/tex]
Substitute the function notation for y to create a system of equations:
[tex]\begin{cases}y=-2x+16\\y=4x+10\end{cases}[/tex]
To find the points of intersection of the given functions, solve the system of equations.
Multiply the first equation (function f(x)) by 2:
[tex]\implies 2y=-4x+32[/tex]
Add this to the second equation (function g(x)) to eliminate x:
[tex]\begin{array}{r l}4x+10 & = y\\+ \quad -4x+32 & = 2y\\\cline{1-2} 42 & = 3y\end{array}[/tex]
Solve for y:
[tex]\implies 3y=42[/tex]
[tex]\implies y=14[/tex]
Substitute the found value of y into one of the equations and solve for x:
[tex]\implies 4x+10=14[/tex]
[tex]\implies 4x=4[/tex]
[tex]\implies x=1[/tex]
Therefore, the point of intersection of the given functions is (1, 14).
find the domain of this equation x+5/x+5
Will award brainliest BIG BOI POINTS
please help me, thanks if you do
Answer:
Step-by-step explanation:
It represents the initial number of bacteria to start with. It can represent nothing else.
please help meeeee I'm giving 30 points, but you have to actually put the steps and reasons
Statements:
1. m<DHF = m<EHG
2. m<1 = m<1
3. m<2 + m<1 = m<DHE
m<3+ m<1 = m<EHG
4. m<2 + m<1 = m<3 + m<1
5. m<2 = m<3
Reasons:
1. Given
2. reflective property
3. Angle addition postulate
4. substitution
5. subtraction property of equality