The range of the provided inverse sine function in terms of x, and y y = sin-1x is [-π/2, π/2].
What is the range of the function?Range of a function is the set of all the possible output values which are valid for that function.
The trigonometry function given in the problem is,
[tex]y = \sin^{-1}x[/tex]
The above function can be written as,
[tex]\sin y = x[/tex]
The above function is the arc of sine function. The domain of arc of sine ranges from -1 to 1.
[tex]-1\leq x\leq1[/tex]
This is the domain of the inverse of sine function. In the attached image below, the graph of inverse sine function is plotted. The range of this function is,
[tex]-\dfrac{\pi}{2}\leq x\leq\dfrac{\pi}{2}[/tex]
Thus, the range of the provided inverse sine function in terms of x, and y y = sin-1x is [-π/2, π/2].
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Answer:
C {-pi/2,-pi/2}
Step-by-step explanation:
Classify each polynomial expression by number of terms and by degree. Identify the leading coefficient.
Polynomial Expression
Term Name
Degree Name
Leading Coefficient
3+ 4+1
22
monomial
2+5
binomial
trinomial
[tex]__________________________[/tex]
2x^2 + 4x + 1Trinomial, it has 3 terms so it is a trinomial.2nd degree polynomial, its highest exponent in its variables is 2 so it is a 2nd degree polynomial2x^3Monomial, it is only 1 term so it is a monomial.3rd degree polynomial, its highest exponent in its variable is 3 so it is a 3rd degree polynomial.x + 5Binomial, it has 2 terms so it is a binomial.1st degree polynomial, the variable x has an invisible exponent of 1 so it is a 1st degree polynomial.michael is driving to his mother house after 1 hour and 45 minutes he is two-thirds of the way there At this rate how many total hours will it take michael to drive hsi mothers hosue
Using proportions, it is found that it will take Michael 2.625 hours to drive to his mother's house.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In 1 hour and 45 minutes, which is equivalent in hours to [tex]1 + \frac{3}{4} = \frac{7}{4}[/tex], he is two-thirds of the way. How long it takes him to reach 100% = 1 of the way? The rule of three is given by:
[tex]\frac{7}{4}[/tex] hours - [tex]\frac{2}{3}[/tex] way.
x hours - 1 way
Applying cross multiplication:
[tex]\frac{2}{3}x = \frac{7}{4}[/tex]
[tex]2x = \frac{21}{4}[/tex]
[tex]x = \frac{21}{8}[/tex]
x = 2.625.
It will take Michael 2.625 hours to drive to his mother's house.
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The fifth grade classes are having a food drive. There are 84 students in the fifth grade. The goal is for each student to collect 16 cans of food. How many cans will be collected in all if each fifth-grader achieves the goal?
Hey there!
Easy word problem
Since there are 84 students total and their goal is to collect 16 cans
We multiply
=> 84 × 16 ⇒ 1,344
Therefore, 1,344 cans will be collected in all if each fifth-grader achieves the goal
!!!!!:!:!:!:!:!!:!’dmemdmsmsms
DI AKO KRINUSHBAK SANA KAYO DIN
Find the values of the mode when median is given to be 5 and mean is 7.
Answer:
Mode = 1
Step-by-step explanation:
Relation between the Central Measures of Tendency
Mean, Median, and Mode are commonly referred to as the Central Measures of TendencyThe formula between the three is given by :⇒ Mode = 3Median - 2Mean or Mode + 2Mean = 3MedianSolving
We know that :Median = 5Mean = 7Therefore,
Mode = 3(5) - 2(7)Mode = 15 - 14Mode = 1[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
We know the relation between mean, Median and mode. that is :
[tex]\qquad \sf \dashrightarrow \:mode = 3 \: median - 2 \: mean[/tex]
now, plug in the values ~
[tex]\qquad \sf \dashrightarrow \:mode = 3(5) - 2(7)[/tex]
[tex]\qquad \sf \dashrightarrow \:mode = 15 - 14[/tex]
[tex]\qquad \sf \dashrightarrow \:mode = 1[/tex]
Hence, value of mode is 1
if 2 dogs were walking and 2 more came how much is that
Answer:
4
Step-by-step explanation:
A group of friends wants to go to the amusement park. they have $285.75 to spend on parking and admission. parking is $13.75, and tickets cost $34 per person, including tax. how many people can go to the amusement park?
Answer:
assuming they only have to pay for parking once, 8 friends can go, if each person has to pay for parking and ticket only 5 people can go, Im assuming it'll be 8 for the answer tho I hope I'm right
There are 8 people can go to the amusement park.
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Total amount = $285.75
Parking = $13.75
Price of ticket per person = $34.
So, money left after paying for parking
=285.75 - 13.75
= 272
Now, number of people in amusement park
= 272/34
=8
Hence, 8 people can go to the amusement park.
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A sticker company shipped a total of 289,005 stickers last month. This month, the company shipped 338,486 stickers. Estimate the total amount of stickers shipped both months.
Round to the nearest hundred thousand.
What is the trigonometric ratio for cosn? enter your answer, as a simplified fraction, in the boxes. $$ triangle l m n with right angle m. l m equals 15. l n equals 39. m n equals 36.
The trigonometric ratio will be Cos(n)=12/13
What will be the trigonometry ratio?Given is a Right triangle LMN with right angle at M i.e. angle M = 90 degrees.
Given are the sides LM = 15, MN = 36, and LN = 39.
It says to find cos(n) = ?
So opposite side would be LM, adjacent side would be MN, and LN is the hypotenuse.
We know that the cosine ratio is given by :-
[tex]Cos(n)=\dfrac{adjacent}{Hypotenuse}[/tex]
[tex]Cos(n)=\dfrac{MN}{LN}[/tex]
[tex]Cos(n)=\dfrac{36}{39}[/tex]
[tex]Cos(n)=\dfrac{12}{13}[/tex]
Hence the required ratio will be [tex]Cos(n)=\dfrac{12}{13}[/tex]
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Help I’m so bad at math
If two triangles are congruent (as per the given congruency statement), then the corresponding angles of both triangles are also congruent.
Therefore, if angle B = 145, then angle E is also 145.
Answer: C) 145
Hope this helps!
what is the answer to 12x10.4
Answer: 124.8
Step-by-step explanation:
Here is a Answer to your question:
12 x 10.4 = 124.8
I am sorry if this was not helpful
Hope this was helpful
The legend of a map says that 1 inch = 50 kilometers How many kilometers are in 7.5 inches?
Answer:
375 Km
Step-by-step explanation:
1 inch = 50 km
50 x 7.5 = 375 km
Answer:
375 Km
1 inch = 50 km
50 x 7.5 = 375 km
HELLLPPPPPPPP!!!!!!!!
An experiment consists of randomly drawing a card from a standard deck and recording its color, then rolling a die and recording its value.
The following tree diagram shows the possible outcomes.
A 2-column tree diagram: card & die. The card column has B & R. B & R each branch to the numbers 1 through 6 in the die column.
What is the probability of selecting a red card and rolling a number less than 3?
Enter your answer as a reduced fraction, like this: 3/14
The experiment of rolling the dice and selecting a card is an illustration of probabilities
The probability of selecting a red card and rolling a number less than 3 is 1/6
How to determine the probability?From the figure, we have:
Total outcomes = 12
Red card with a number less than 3 = 2
So, the probability of selecting a red card and rolling a number less than 3 is:
p = 2/12
Simplify
p = 1/6
Hence, the probability of selecting a red card and rolling a number less than 3 is 1/6
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40 + x + 25= 180
like i either get decimals for this or something that doesn’t at ALL equal 180, so confused.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \:40 + x + 25 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \:x + 65 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 180 - 65[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 115[/tex]
I hope you understood the procedure, please let me know if you have any doubts
) Which expression represents the SUM of n and 12?
the "sum of" means we add.
So the sum of n and 12 means we add n and 12:-
n+12
or
12+n (both of these expressions mean the same thing)
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Evaluate the expression when y = -5.
y² + 5y + 4
is 0.7070707070 is an irrational number.
Answer:
No
Step-by-step explanation:
numbers with decimals that terminate or repeat are not irrational. they are rational.
Six by the power of 2×3
Answer:
46,656
Step-by-step explanation:
6^2x3=
6^6=
6x6x6x6x6x6=
46,656
Hope that helps!
Answer:
1458
Step-by-step explanation:
2×3^6 that is d answer
Which expression is equal to (x + 3)^2
Express the trig ratios as fractions in simplest terms.
Answer:
Step-by-step explanation:
SOH CAH TOA
cos K = 36/48 = 3/4
SIN L = 36/48 = 3/4
The trigonometric ratios sin(L) is 3/5, cosK is 3/5 and sinL and cosk are equal .
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The triangle JKL is right angled triangle.
In the triangle KL is the opposite side of angle J.
SinL = Opposite/Hypotenuse
CosK = Adjacent/Hypotenuse
Used here, this means ...
sin(L) = KL/JL = 36/60 =6/10=3/5
cos(K) = KJ/KL = 36/60 = 6/10=3/5
sin(L) and cos(K) are equal
Hence, the trigonometric ratios sin(L) is 3/5, cosK is 3/5 and sinL and cosk are equal .
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Use the ordered pairs below. (10,20), (11, 21), (12, 22) What patterns are used to create the ordered pairs?
Answer:
Add 1 unit to the X coordinates and Y coordinates for each new pair.
step-by-step explanation:
X: 10 + 1 = 11 + 1 = 12
Y: 20 + 1 = 21 + 1 = 22
Anthony's sink is shaped like a half-sphere, and it has a volume of 512π cubic inches. It is completely full of water, and he has two different cylindrical cups he can use to scoop it out.
The blue cup has a diameter of 4 in. and a height of 8 in., and the green cup has a diameter of 8 in. and a height of 8 in.. How many cupfuls of water will it take for him to empty his sink using each cup?
In your answer, give the number of cupfuls it will take to empty the sink using each cup, and then explain how you calculated it.
By taking the quotient between the volumes, we conclude that he must use the blue cup 16 times or the green cup 4 times.
How many times do he need to use each cup?The volume of the sink is 512π in^3.
The blue cup is a cylinder of diameter = 4 in and a height = 8 in, then its volume is:
V = π*(4in/2)^2*8in = 32π in^3
The number of times that he needs to use this cup is given by:
N = (512π in^3)/(32π in^3) = 512/32 = 16
He needs to use 16 times the blue cup.
The green cup has a diameter = 8in and a height = 8in, then its volume is:
V' =π*(8in/2)^2*8in = 128π in^3
The number of times that he must use this cup is:
N' = (512π in^3/ 128π in^3) = 512/128 = 4
He needs to use 4 times the green cup.
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last question and ty please help me answer
Step-by-step explanation:
1. 6 ounce = 1.56 $
So, 1 onuce = 1.56/6 =
2. 14 ounce = 3.36 $
So, 1 ounce = 3.36/14 =
3. 20 ounce = 5.60 $
So, 1 ounce = 5.60/20 =
Hello people ~
what's the sum of 7th odd number & 13th even number?
Answer:
13+26=39
Step-by-step explanation:
the 7th odd number is 13 and 13th even is 26
Answer:
[tex]\displaystyle 39[/tex]
Step-by-step explanation:
[tex]\displaystyle 39 = 13 + 26 \Rightarrow 39 = 13 + 2[13][/tex]
On a hundred chart, you will see that the seventh odd number is [tex]\displaystyle 13,[/tex]and the thirteenth even number is self-explanatory, so you should know what occurs there.
I am joyous to assist you at any time.
answer please i need help with this
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3 {}^{ - 2} \times {x}^{ - 4} \times {y}^{2} } [/tex]
plug in the values :
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3 {}^{ - 2} \times {3}^{ - 4} \times { - 1}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3 {}^{ - 6} {}^{ } {}^{} } [/tex]
[tex]\qquad \sf \dashrightarrow \: {3}^{6} [/tex]
[tex]\qquad \sf \dashrightarrow \:729[/tex]
Therefore, B is the Correct choice ~
・ .━━━━━━━†━━━━━━━━━.・
Answer:
729
Step-by-step explanation:
Given expression:
[tex]\sf \dfrac{1}{3^{-2}x^{-4}y^2}[/tex]
Apply exponent rule [tex]\sf \dfrac{1}{a^{-b}}=a^b[/tex]
[tex]\sf \implies \dfrac{3^2x^4}{y^2}[/tex]
[tex]\sf \implies \dfrac{9x^4}{y^2}[/tex]
Substituting x = 3 and y = -1:
[tex]\sf \implies \dfrac{9(3)^4}{(-1)^2}[/tex]
[tex]\sf \implies \dfrac{9 \cdot 81}1}[/tex]
[tex]\sf \implies 729[/tex]
© How many dogs does my math teacher have?
©
What is the value of the expression 2 + 73 + 4(9 - 6)2 = 6?
Answer:
The correct answer is 351.
Step-by-step explanation:
We will use order of operations to solve this problem. Recall that order of operations, AKA PEMDAS, states we should simplify numeric expressions in the following order:
Parentheses
Exponents
Multiplication/Division (ordered left to right)
Addition/Subtraction (ordered left to right)
Begin by evaluating the parentheses:
[tex]2+7^3+4(9-6)^2\div6\\2+7^3+4(3)^2\div6[/tex]
Simplify the exponents:
[tex]2+7^3+4(3)^2\div6\\2+343+4(9)\div6[/tex]
Multiply:
[tex]2+343+4(9)\div6\\2+343+36\div6[/tex]
Divide:
[tex]2+343+36\div6\\2+343+6[/tex]
Add:
[tex]2+343+6\\345+6\\351[/tex]
What quantative measures describe a variation in a set
Answer:
This would be the range, the interquartile range, the variance, and finally the standard deviation.
Step-by-step explanation:
Hope this helps you, please mark as brainlest.
A skydiver in a computer game free-falls from a height of 3000 meters at a
rate of 55 meters per second. Which equation can be used to find the
height of the skydiver after tseconds?
What causes a quadratic formula to have negative roots?
Answer:
When a, b, and c are real numbers, a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax2 + bx + c = 0 are unequal and not real. In this case, we say that the roots are imaginary.
If a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax² + bx + c = 0 are unequal and not real.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Discriminant is √[tex]\sqrt{b^2- 4ac }[/tex]
a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax² + bx + c = 0 are unequal and not real.
In this case, we say that the roots are imaginary.
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What are the number of real zeros and complex zeros?
Answer:
D
Step-by-step explanation:
the Fundamental rule of Algebra states that a polynomial of degree n has n zeros, some of which may be complex.
thus for the given cubic function of degree 3 there will be 3 zeros
the graph indicates a zero at x = 4 which is real
thus there will be 2 complex zeros.
that is the cubic function has 1 real zero and 2 complex zeros