Answer: all real numbers
Step-by-step explanation: the domain for any function is always , all real numbers or in other words, negative infinity to positive infinity.
Answer:
c. x >= 0
Step-by-step explanation:
Use special right triangle ratios to determine the length of x and y below
Answer:
see explanation
Step-by-step explanation:
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{1}[/tex]
hence x = sin30° = [tex]\frac{1}{2}[/tex]
and
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{1}[/tex]
hence y = cos30° = [tex]\frac{\sqrt{3} }{2}[/tex]
For what angles c in [0, 2pi) does the cos(x) have the same value as sin (3pi/4)?
Answer:
pi/4 and 7pi/4.
Step-by-step explanation:
Sin 3pi/4 is in the second quadrant and is positive and has the same value as sin pi/4.
Sin (3pi/4) = sin (pi/4) = cos pi/4.
Also as cos x is positive in the 4th quadrant cos (2pi - pi/4)
= cos 7pi/4 is also equal to sin 3pi/4.
Answer:
[tex]\frac{\pi}{4}\,,\,\frac{7\pi}{4}[/tex]
Step-by-step explanation:
Angle [tex]\frac{3\pi}{4}[/tex] lies in second quadrant in which [tex]\sin[/tex] is positive .
[tex]\sin \left ( \frac{3\pi}{4} \right )\\=\sin \left ( \pi-\frac{\pi}{4} \right )\\=\sin \left ( \frac{\pi}{4} \right )\\=\frac{1}{\sqrt{2}}[/tex]
We know that [tex]\cos[/tex] is positive in first and fourth quadrant .
In first quadrant :
We know that angle [tex]\frac{\pi}{4}[/tex] lies in first quadrant .
[tex]\cos \left ( \frac{\pi}{4} \right )=\frac{1}{\sqrt{2}}[/tex]
In fourth quadrant :
We know that angle [tex]\frac{3\pi}{4}[/tex] lies in fourth quadrant.
[tex]\cos \left ( \frac{7\pi}{4} \right )\\=\cos \left ( 2\pi-\frac{\pi}{4} \right )\\=\cos \left ( \frac{\pi}{4} \right )\\=\frac{1}{\sqrt{2}}[/tex]
So, for angles [tex]\frac{\pi}{4}\,,\,\frac{7\pi}{4}[/tex] , [tex]\cos x[/tex] has the same value as [tex]\sin \left ( \frac{3\pi}{4} \right )[/tex]
Which choice correctly describes this event? I will flip a coin 100 times and get heads exactly 50 times and tails exactly 50 times.
A) Certain
B) Impossible
C) Unlikely
D) Likely
A.certain because everybody can do that
Answer:
unlikely just took a test
9a-14 = 4a+6 solve as equations
Answer: x=4
Step-by-step explanation: isolate variable using division
=9a-4a=6+14
=5a=20
a=20/5
a=4
Use basic trigonometric identities to simplify the expression: sin (-x) cos (-x) csc (-x) =?
Answer:
[tex]sin (-x) cos (-x) csc (-x) =cos(x)[/tex]
Step-by-step explanation:
We know by definition that the cosine is an even function, therefore
[tex]cos (-x) = cos (x)[/tex]
We also know that the sin is an odd function, therefore
[tex]sin (-x) = -sin (x)[/tex]
By definition:
[tex]cscx = \frac{1}{sinx}.[/tex]
Then:
[tex]csc(-x) = \frac{1}{sin(-x)}.[/tex]
[tex]csc(-x) = -\frac{1}{sin(x)}.[/tex]
Using these trigonometric properties we can simplify the expression
[tex]sin (-x) cos (-x) csc (-x)= -sin(x)cos(x)*(-\frac{1}{sin(x)})\\\\sin (-x) cos (-x) csc (-x)=cos(x)[/tex]
The answer is:
The simplified expression is:
[tex]Sin(-x)*Cos(-x)*Csc(-x)=Cos(x)[/tex]
Why?To simplify the expression we need to use the following trigonometric identities:
[tex]Sin(-x)=-Sin(x)\\Cos(-x)=Cos(x)\\Csc(-x)=-Csc(x)\\Csc(x)=\frac{1}{Sin(x)}[/tex]
We are given the expression:
[tex]sin(-x)*cos(-x)*csc(-x)[/tex]
So, applying the identities and simplifying, we have:
[tex]Sin(-x)*Cos(-x)*Csc(-x)=-Sin(x)*Cos(x)*-\frac{1}{Sin(x)}[/tex]
[tex]Sin(-x)*Cos(-x)*Csc(-x)=Cos(x)*-Sin(x)*-\frac{1}{Sin(x)}[/tex]
[tex]Sin(-x)*Cos(-x)*Csc(-x)=Cos(x)[/tex]
Hence, the simplified expression is:
[tex]Sin(-x)*Cos(-x)*Csc(-x)=Cos(x)[/tex]
Have a nice day!
3 example of mathematics in everyday life
Answer: 1. Shopping for the best price.
2. Preparing food.
3. Understanding sports (being a player and team statistics)
Hope This Helps, Please Vote Brainliest.
Everyday life is filled with mathematical applications such as managing finances, estimating travel time and distance, and understanding symmetry in design, demonstrating the practical importance of mastering essential mathematical skills.
Mathematics is deeply embedded in our everyday lives, and we often apply mathematical concepts without even realizing it. Here are three examples that illustrate the prevalence of mathematics in daily activities:
Managing finances: Whether it's budgeting for household expenses, calculating interest on savings, or determining the cost of a purchase after tax, we use basic arithmetic operations such as addition, subtraction, multiplication, and division to keep track of our money.Estimating time and distance: For planning travel, whether driving or using public transport, we use approximations and concepts of speed and distance to estimate arrival times, which involves understanding and applying the formula for speed (distance divided by time).Understanding symmetry: In various design aspects of life, such as art, architecture, and even in nature, we recognize patterns and symmetry. This can involve recognizing one-dimensional or three-dimensional objects and using.In addition to these practical applications, developing a mental agility for mathematics allows us to employ shortcuts and rule-of-thumb strategies to make our lives easier.
PLEASE HELP WITH THE QUESTION BELOW ASAP!! THANKS SO MUCH!
Answer:
y=-1/4x-4
Step-by-step explanation:
it simple rise over run: -1 go down one over 4 right or the other way around go up 1 and left 4 either way would work your y intercept is -4 because that is the point crossing the y-axis hope i helped!
Answer: y= (-1/7)x - 4
Step-by-step explanation:
Choose any two points on the line and use the slope equation:
(0,-4) (7,-5)
m = (y2 - y1) / (x2 - x1)
So: m = (-5 - (-4)) / (7 - 0)
m = - 1/7
Use point slope form to find the line:
(y - y1) = m(x - x1)
(y - (-4)) = (-1/7)(x - 0)
y + 4 = (-1/7)x
y = (-1/7)x - 4
what does a flowchart proof
Answer:
What is shows is that there could be an increase in a business or a decrease. It shows whats happened in the last amount of time. It can show if you have been doing good or bad in something.
Step-by-step explanation:
Answer:
By its diagrammatic representation, a flow chart can represent step-by-step the solution of a task.
Step-by-step explanation:
A flow chart is commonly defined as a diagrammatic representation or concept map of an algorithm. They can be used to shows the statements and reasons needed to indicate the logical order during the solution of a task.
Bearing the above in mind, it could be said that they illustrate the solution to a certain problem, as well they can analyze, design or manage a process.
what is the gcf of h4 and h8
Answer: [tex]GCF=h^4[/tex]
Step-by-step explanation:
You need to remember that:
1) The definition of Greatest common factor (GCF): This is the greatest factor that divides two numbers.
2) The Product of powers property states that:
[tex](a^m)(a^n)=a^{(m+n)}[/tex]
3) To find the Greatest common factor between two numbers, for example, you can descompose them into their prime factors and then choose the commons with the lowest exponent.
In this case, you have [tex]h^4[/tex] and [tex]h^8[/tex]
You can observe that the common base is "h", then you only need to choose the one with the lowest exponent. This is:
[tex]GCF=h^4[/tex]
4) You can also rewrite [tex]h^4[/tex] and [tex]h^8[/tex] as:
[tex]h^4=h*h*h*h\\*h^8=h*h*h*h*h*h*h*h[/tex]
You can observe that the common factor between [tex]h^4[/tex] and [tex]h^8[/tex] is: [tex]h*h*h*h=h^4[/tex]
Then:
[tex]GCF=h*h*h*h=h^4[/tex]
A standard number cube is tossed. Find P(less than 3 or odd).
Answer:
P(.6666...) or P(2/3)
Step-by-step explanation:
We know we have one single event with 3 outcomes. We can figure that 5 is the only other odd number not 1-3, so that means we have 3+1 outcomes
Ok, so no we know we have 1 singular event with 3+1 possible outcomes
This means the probability is 4/6, due to a normal die having 6 faces.
Therefore, the probability is 4/6, 2/3, or .666666......
Please note that I have not done P&S for over 1 year now and I learned it in geometry, but don't be discouraged as I googled how to do this, but if I wrong, tell me.
The Probability of obtaining a number less than 3 or odd when a standard number cube is tossed is 2/3.
In probability theory, the question is asking for the possibility of tossing a number cube and landing on a number less than 3 or an odd number.
In a standard number cube which is a die, we have six numbers (1, 2, 3, 4, 5, 6).
Numbers less than 3 are 1 and 2.
The odd numbers are 1, 3 and 5.
However, 1 is common to both cases, so we add the total unique outcomes which are 1, 2, 3, and 5.
So, we have four favorable outcomes.
To find the probability, you calculate the ratio of the favorable outcomes to the total possible outcomes.
In this case, it will be 4 favorable numbers against 6 possible numbers altogether.
Hence, P(less than 3 or odd) is 4/6 which can be simplified to 2/3.
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could anyone help me with this problem i'm stuck
h(17)= ?
Answer:
[tex]\sqrt{17t}[/tex]
Step-by-step explanation:
Consider the right side of the table
It informs us of the values for h(t) for different values of t
The top one informs us what h(t) is when t = 17, that is
h(t) = [tex]\sqrt{17t}[/tex], when t = 17, thus
h(17) = [tex]\sqrt{17t}[/tex]
share 240 in the ratio of 8 3 1
Answer:
160, 60, 20
Step-by-step explanation:
A bank offers a 3.7% annual interest rate for a retirement savings account. A worker puts $8,000 into the account. How much will be in the account after a year? $
The worker will have approximately $8,296.00 in their retirement account after a year.
Explanation:Calculate the interest earned: Multiply the principal amount ($8,000) by the annual interest rate (3.7%): $8,000 * 0.037 = $296.00.
Add the interest earned to the principal: $8,000 + $296.00 = $8,296.00.
Therefore, the worker will have approximately $8,296.00 in their retirement account after one year due to the accrued interest.
22722776 x 738399383838338
Answer:
1.6778484x10^22
Step-by-step explanation:
Answer:1.6778484e+22
Step-by-step explanation:
Just multiply the numbers
Factor the expression below by grouping. 3x-6+xy-2y.
A. (x-2)(3+y)
B.(x+2)(3-y)
C.2(x-2(xy-2y)
D.(3x-6)(Cyrus-2y)
A: (x-2)(3+y)
3x - 6 + xy - 2y
(3x - 6) + (xy - 2y)
3(x - 2) + y(x - 2)
Your two terms are: (3 + y) and (x - 2)
Answer: The correct option is (A). [tex](x-2)(3+y).[/tex]
Step-by-step explanation: We are given to factor the following expression by grouping :
[tex]E=3x-6+xy-2y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Since we are given to factorize the expression (i) by grouping, so we will take 3 common from first two terms and y common from last two terms.
The factorization of expression (i) is as follows :
[tex]E\\\\=3x-6+xy-2y\\\\=3(x-2)+y(x-2)\\\\=(x-2)(3+y).[/tex]
Thus, the required factored form of the given expression is [tex](x-2)(3+y).[/tex]
Option (A) is CORRECT.
given [tex]f(x) =x^2 -6x+8 and g(x) =x-2[/tex], solve f(x) -g(x) using a table of values
For this case we have the following functions:
[tex]f (x) = x ^ 2-6x + 8\\g (x) = x-2[/tex]
We must subtract the functions:
[tex]f (x) -g (x) = x ^ 2-6x + 8- (x-2)\\f (x) -g (x) = x ^ 2-6x + 8-x + 2\\f (x) -g (x) = x ^ 2-7x + 10[/tex]
We build a table of values for [tex]x = 0,1,2,3.[/tex]
[tex]x = 0, f (x) -g (x) = 0 ^ 2-7 (0) + 10 = 10\\x = 1, f (x) -g (x) = 1 ^ 2-7 (1) + 10 = 1-7 + 10 = 4\\x = 2, f (x) -g (x) = 2 ^ 2-7 (2) + 10 = 4-14 + 10 = 0\\x = 3, f (x) -g (x) = 3 ^ 2-7 (3) + 10 = 9-21 + 10 = -2[/tex]
Answer:
[tex]f (x) -g (x) = x ^ 2-7x + 10[/tex]
8 + y ≥ 11
List 3 values that would make this inequality true.
To make the inequality 8 + y ≥ 11 true, y could be any value equal to or greater than 3. Examples of such numbers are 3, 4, and 5.
Explanation:The inequality 8 + y ≥ 11 is asking for all the values of 'y' that, when added to 8, will give a number that is greater than or equal to 11. First, we can solve for the smallest possible 'y' by subtracting 8 from both sides of the inequality: y ≥ 11 - 8 simplifies to y ≥ 3. Therefore, any number greater than or equal to 3 will make the inequality true. Three examples of such numbers are 3, 4, and 5.
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What is the volume of the composite figure shown below?
Answer:
The composite shape has a total area of 2412mm squared.
The volume of composite figure is,
[tex]=1873+540=2413mm^{3}[/tex]
Volume of Cuboid:The volume of composite figure is the sum of volume of upper cuboidal part and volume of lower cuboidal part.
The length , width and height of upper cuboidal part is 13, 12 and 12 mm.
Volume of upper part is,
[tex]=13*12*12=1873mm^{3}[/tex]
The length , width and height of lower cuboidal part is 15, 12 and 3 mm.
Volume of lower part is,
[tex]=15*12*3=540mm^{3}[/tex]
The volume of composite figure is,
[tex]=1873+540=2413mm^{3}[/tex]
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Find the missing length round to the nearest tenth I don’t know how to do this
Answer:
Step-by-step explanation:
Answer:
19.4
Step-by-step explanation:
21^2 = 8^2 + a^2
441 = 64 + 377
the square root of 377 = approximately 19.4
Which statements are true about slices of a nght rectangular prism? Check all that apply
The prism sliced by a plane parallel to the base will take the shape of the base
The prism sliced by a plane parallel to the base will take the shape of the side face
The prism sliced by a plane perpendicular to the base will take the shape of the base
The prism sliced by a plane perpendicular to the base will take the shape of the side ce
U The prism sliced by a plane perpendicular to the base will take the shape of a triangle
Answer: A and D .
Explanation: The prism by a plane parallel to the base will take the shape of the base and The prism sliced by a plane perpendicular to the base will take the shape of the sides is the correct answers.
The prism by a plane parallel to the base will take the shape of the base and The prism sliced by a plane perpendicular to the base will take the shape of the sides.
What is a rectangular prism?There are a total of six faces, twelve sides, and eight vertices in a rectangular prism. It has three dimensions, just like a cuboid: the base width, the height, and the length. The rectangular prism has a rectangular shape at its top and bottom. A rectangular prism has opposite face pairs that are identical or congruent.
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answer in need
just answer the first word problem and the 3rd, first section (iii) question
will surly mark brainlist
answer fast plz.........
will earn 12 points + brainlist
i thimk this might be the answer to question 3 (iii)
I'm sorry I don't know how to solve the first question
PLEAS HELP 10 POINTS
Answer:
It is an obtuse angle so it is greater than 90 degrees you will have to use a protractor to figure it out.
Julio added 6 cubes to his prism. Calculate the volume. How has the volume changed?(The picture is without the 6 cubes)
Will award 100 points
Step-by-step explanation:
Assuming the length of each cube's sides is s, then the volume of each cube is V = s³. The number of cubes before adding is 2×3×3 = 18. So the total volume is:
V = 18s³
After adding 6 cubes, the volume becomes:
V = 18s³ + 6s³
V = 24s³
Describe how to simplify the expression (3^-6)/(3^-4). Answers: Divide the bases and then add the exponents. Keep the base the same and then add the exponents. Multiply the bases and then subtract the exponents. Keep the base the same and then subtract the exponents.
Answer:
Last option: Keep the base the same and then subtract the exponents.
Step-by-step explanation:
There is a property called "Quotient of power property".
This property states that if you need to divide two powers with the same base, you must keep the same base and subtract the exponents:
[tex]\frac{a^m}{a^n}=a^{(m-n)}[/tex]
Then, you need to apply this property to the expression [tex]\frac{(3^{-6})}{(3^{-4})}[/tex] to simplify it.
Therefore, you get that the expression simplified is:
[tex]3^{(-6-(-4))}=3^{(-6+4)}=3^{-2}[/tex]
Answer:b
Step-by-step explanation:
The tax on a property with an assessed value of 90000 is 1200. What is the assessed value of a property if the tax is 2200
165,000, since 90,000÷1200=75. So 75×2200=165,000.
The assessed value of a property, given a tax amount of $2200, using the proportional ratio obtained from a known property value and tax amount pairing, is $165,000.
Explanation:The subject of your question relates to a simple form of proportionality or ratio. The scenario provided allows us to set up a ratio problem. If the tax on a property valuing $90,000 is $1,200, we can write this ratio as 1200/90000. Now, using that ratio, you want to find the property value for a tax amount of $2,200. Therefore, we can set up the equation 1200/90000 = 2200/x, with x being the property value we're trying to find. Solving for x, we find that x = (90000*2200)/1200 which equals $165,000. Therefore, the assessed value of a property if the tax amounts to $2,200 is $165,000.
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the door frame has measurements of 3 feet by 8 feet. What is the length of the largest table that can be brought in the house on a diagonal? someone please help me out
Answer:
sqrt(73) = 8.54 feet.
Step-by-step explanation:
Remark
My guess is without the legs.
The person bringing it in will not be able to get a table in that is longer than the hypotenuse of a right triangle.
Givens
a = 8
b = 3
c = ??
Formula
a^2 + b^2 = c^2
Solution
8^2 + 3^2= c^2
64 + 9 = c^2
c^2 = 73
c = sqrt(73)
c = 8.54
The table can be no longer than 8 feet 5 inches about.
The function for the cost of materials to make a muffin is f(x) = Three fourths x + 3, where x is the number of muffins. The function for the selling price of those muffins is g(f(x)), where g(x) = 3x + 4. Find the selling price of 20 muffins.
So first let’s put g(f(x)) together by putting f(x) for every x in g(x)
We get g(f(x))=3(3/4x+3)+4 which is the selling price equation
Then you plug in 20 to find the selling price for 20 muffins.
g(f(x))=3(3/4(20)+3)+4
g(f(x))=3(60/4+3)+4
g(f(x))=3(18)+4
g(f(x))=54+4
g(f(x))=58
So the selling price will be $58 for 20 muffins.
Indicate a general rule for the nth term of the sequence when a1 = 5 and r = √3 .
an = (√3)(5)n + 1
an = (√3)(5)n - 1
an = (5)(√3)n - 1
an = (5)(√3)n + 1
the right answer is an=5(3)^(n-1)/2
Answer:
C. [tex]a_n=5\cdot (\sqrt{3})^{n-1}[/tex]
Step-by-step explanation:
We have been given that first term of a geometric sequence is 5 and common ratio is [tex]\sqrt{3}[/tex]. We are asked to find the general rule for the nth term of the sequence.
We know that a geometric sequence is in form [tex]a_n=a_1\cdot (r)^{n-1}[/tex], where,
[tex]a_n[/tex] = nth term of the sequence,
[tex]a_1[/tex] = 1st term of the sequence,
r = Common ratio,
n = Number of terms in sequence.
Upon substituting our given values in general form of geometric sequence, we will get:
[tex]a_n=5\cdot (\sqrt{3})^{n-1}[/tex]
Therefore, option C is the correct choice.
What does x equal? Similarity
Check the picture below.
X= 2
This is the answer I don’t know if you want an explanation or not but it needs to be 20 cHaRaCterS lONg
which point lies on the graph of the function shown below?
y= -x^2 + 4x -2
I'm pretty sure quadrant II (2,2)
Answer:
(1,1)
Step-by-step explanation:
the point (1,1) lies on the graph of the function!