Radians are a unit of measurement for angles. One radian is defined as the angle subtended by an arc of a circle equal in length to the radius of the circle.
1a. The value of arcsin(2/2) in radians is:
arcsin(2/2) = arcsin(1) = π/2
1b. To convert radians to degrees, we multiply by 180/π:
arcsin(2/2) ≈ (π/2) * (180/π) ≈ 90 degrees
2a. The value of arccos(2) in radians is not defined, since the cosine function only takes values between -1 and 1. Therefore, this is an invalid input for arccos.
2b. N/A, since arccos(2) is not a valid input.
3a. The value of arctan(-√3) in radians is:
arctan(-√3) ≈ -π/3
3b. To convert radians to degrees, we multiply by 180/π:
arctan(-√3) ≈ (-π/3) * (180/π) ≈ -60 degrees
4a. The value of arcsin(2) in radians is not defined, since the sine function only takes values between -1 and 1. Therefore, this is an invalid input for arcsin.
4b. N/A, since arcsin(2) is not a valid input.
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Asystem of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the - y = 4x + 5 y = 4x - 5 2y = 8x - 10 - 2y = 8 - 10
Step-by-step explanation:
step 1. The first equation 4x - y = 5 has a slope of 4. The 2nd equation simply cannot have the same slope for there to be 1 solution.
step 2. -y = 4x + 5. This has a slope of -4 so "yes" it could work.
step 3. y = 4x - 5. "no".
step 4. 2y = 8x - 10. The slope is 8/2 = 4. "no".
step 5. -2y = 8x - 10. The slope is 8/-2 = -4. "yes".
Consider the polynomial function h(x) = x^6 - 3x^5 - 17x^3
What is the end behavior of the graph of h?
Choose 1 answer:
PLEASE HELP
Answer: As x -> positive infinity, h(x) -> positive infinity, and as x -> negative infinity, h(x) -> positive infinity
Step-by-step explanation:
Khan Academy!! Hope this helps :)
Find the length of the third side. If necessary, round to the nearest tenth.
17
25
Answer:
the real answer is 48 but if you round it to the nearest tenth it's 50
Step-by-step explanation: I hope my answer helps, if it does help can I get the brainliest answer, thanks.
(5-8) (1,4) m = -3
find the slope
Answer:
slope is -3
Step-by-step explanation:
m is the slope, this may have been a trick question.
by the points given the slope is 1
Which of the following correctly describes the product below?
A.
irrational
B.
rational
C.
a combination of both rational and irrational
D.
neither rational nor irrational
Answer:
C is the answer your looking for
3.
Which equation best describes the graph?
A. y = 2x + 3
B. y = 1/2x + 3
C. y = 1/2x – 3
D. y = 2x – 3
Answer:
Its C
Step-by-step explanation:
The y starts at negative 3 and it is going up by 1 and over 2
Hope this Helped
Answer:
C. y = 1/2x - 3
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope:
1
2
y-intercept:
(
0
,
−
3
)
x
y
0
−
3
6
0
???
[tex]( \frac{ {2x}^{3} }{ {8y}^{ - 4} }) ^{ - 3} [/tex]
Answer:
I'm not sure
Step-by-step explanation:
Sorry
The graph shown here is the graph of which of the following rational
functions?
FOO
5
A. F(x) = x(x+1)
B. F(x) = 4+1
X(X-2)
C. Fx) =
(x - 2)(x + 1)
Answer:
the graph of the rational function is B
Answer:
Step-by-step explanation:
B
x * 5 * 25 * 4 ÷ 5, if x = 813 simplified form please
Answer:
81,300
Step-by-step explanation:
(2, 0); y > x – 5
y < 2x + 1
Y <-X + 3
tell whether the ordered pair is a solution of the system of linear inequalities
Answer:
ang hirap pag aralan mo po muna
Find the discriminant of x2-6x -10 = 0, and determine the number of real solutions of the equation.
Answer:
76
2 real solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0
Discriminant: b² - 4ac
Positive - 2 solutions Equal to 0 - 1 solution Negative - No solutions/ImaginaryStep-by-step explanation:
Step 1: Define
x² - 6x - 10 = 0
Step 2: Identify Variables
Compare quadratic.
x² - 6x - 10 = 0 ↔ ax² + bx + c = 0
a = 1, b = -6, c = -10
Step 3: Find Discriminant
Substitute in variables [Discriminant]: (-6)² - 4(1)(-10)[Discriminant] Evaluate exponents: 36 - 4(1)(-10)[Discriminant] Multiply: 36 + 40[Discriminant] Add: 76This tells us that our quadratic has 2 real solutions.
please help me with this
Answer: B
Step-by-step explanation:
PLZZ HELP ME IM DOING A TEST RNNNN.
Answer:
5(x)+5(y)=10
10(x)+2(y)=12
Step-by-step explanation:
i just got done with that same thing
Question 6 (2 points)
The parabola is in intercept form.
y=(x+1)(x+7)
The vertex is
Blank 1:
Blank 2:
Answer:
Blank 1: (-7,0)
Blank 2: (-1,0)
Step-by-step explanation:
Plug x=0 into the equation and solve the resulting equation y=7 for y
Plug y=0 into the equation and solve the resulting equation 0=(x+1)(x+7) for x
3) Solve the System of Equations using Elimination/Combinations.
-2x-y=-4
x+2y=5
Answer:
[tex]y = 2 \\ x = 1[/tex]
Step-by-step explanation:
[tex]y = 2 \\ x = 1[/tex]
Television is measured by the diagonal. A 55-inch tv has an actual diagonal length of 54.8 inches. Its height is 27 inch Mr.Schlagers entertainment center is 49 inches wide will the tv fit the entertainment center?
Answer:
47.68 inches
Step-by-step explanation:
As seen in the diagram attached below we can see that the tv is a rectangle. We are given the diagonal and the height which means we have to find the length. Since the tv diagonal forms a right triangle we can use the Pythagorean theorem to solve for the length. This theorem would be the following.
[tex]a^{2} + b^{2} = c^{2}[/tex]
where a and b are the sides of the triangle and c is the diagonal.
[tex]27^{2} + b^{2} = 54.8^{2}[/tex]
[tex]729 + b^{2} = 3,003.04[/tex]
[tex]b^{2} = 2,274.04[/tex]
[tex]b = 47.68[/tex]
Finally, we can see that the length of the TV is 47.68 inches
Rodrigo practiced playing the guitar 15 1/3 hours over the past 3 weeks.
He practiced for 5 1/4 hours during the first week and 5 2/3 hours during the second week.
How much time did Rodrigo spend practicing during the third week? Use the numbers and symbols to select the equation that represents the problem. Then solve the equation. Symbols may be used more than once or not at all.
15 1/3, 5 1/4, 5 2/3, x, =, and +.
The equation that represents the problem is
a. 15 1/3 = x - 5 1/4 - 5 2/3
b. x = 15 1/3 + 5 1/4 + 5 2/3
c. x + 15 1/3 = 5 1/4 + 5 2/3
d. 15 1/3 = 5 1/4 + 5 2/3 + x
Answer: d. 15 1/3 = 5 1/4 + 5 2/3 + x
Step-by-step explanation:
15 1/3 (total) = 5 1/4 (first week) +5 2/3 (second week) +x (third week)
When you add the amount of time Rodrigo practiced each week, you get the total amount of time he practiced
Solve for x and show work need help just stuck on this one ☝
Answer:
X=11
Step-by-step explanation:
6 x 11 is 66, after adding 2 its 68. They are equal because they are vertical angles :)
Answer:
11
Step-by-step explanation:
I did:
68 - 2= 66
66 divided by 11= 6
To check my work I did:
6 * 11= 66
66 + 2= 68
Hope this helps!
Evaluate each of the numerical expressions below.
1. 42 +9
2. (5 + 8)
PLEASE HELP ITS DO RN
Answer:
1. 51
2. 13
Step-by-step explanation:
1. 42 + 9
42 + 9 = 51
2. (5+8)
5 + 8 = 13
I NEED HELP PLEASEEE!!!!
Answer:
1/4
Step-by-step explanation:
You are being asked to find 1/3 of 3/4. To find a fraction of a number, you multiply them:
1/3 * 3/4
(cross multiply)
3/12
(simplify (divide top and bottom by three))
1/4
help please I cant figure this put
Answer:
C
Step-by-step explanation:
Because the circle is not shaded in, it doesn't count the number it's on:
So it would be a < or >.
Because this is on a number line and the shaded part goes to the left, it will be < because it points to the left.
The non-shaded circle is on 4, so your answer, x, will be:
x < 4
But the answer choices don't have this, meaning you have to simplify all of them.
The first one is:
x + 9 < 5
x < -4
x - 5 < 9
x < 14
x + 5 < 9
x < 4
x - 9 < 5
x < 14
So it would be C.
What are the coordinates of the image after a dilation
with the center at the origin and a scale factor of 2?
(0, 0) (10, 0) (10,4) (0, 4)
(-2.2) (8, 2) (8.-2) (-2,-2)
(1, 1) (6, 1) (6, 3) (1, 3)
(0, 0) (0, 2) (5.0) (5,2)
Explanation:
The scale factor 2 means we multiply the coordinates of every original point by 2. A point like (-1,1) moves to (-2,2) after doing so
As another example, (4,1) moves to (8,2) after multiplying both coordinates by 2.
convert 5.70 lbs to grams and explain please help
Answer:
2585.48.
Step-by-step explanation:
The formula to convert pounds to grams is to approximately multiply 5.70 by 454, which is equal to 2585.48.
Sara says, "If you subtract 17 from my number and multiply the difference by - 2,
the result is - 22." What is Sara's number?
Answer: 28
28 - 17 = 11
11 * -2 = -22
2/3n+1/2=3/4 I need this fast pls
Answer:
n = ⅜
Step-by-step explanation:
Answer: n = 1/6
Step-by-step explanation:
2/3n + 1/2 = 3/4
-1/2 -1/2
2/3n = 1/4
multiply both sides by 2/3
n = 1/4 *2/3
n = 2/12
reduce
n = 1/6
You buy 5 candy bars for $2.00. Find the cost of 18 candy bars? First
write a proportion to find the unit rate(price per one candy bar). Then use
the unit rate to to find the cost of 18 candy bars?
Answer- $7.50
Step-by-step explanation: edg
suppose you plunk $5000 into a one-year certificate of deposit (CD) that pays simple interest at 3% per annum. The interest you earn after one year would be $150:
The simple interest for a deposit of $ 5,000 at 3 % rate of interest for 1 year would be $ 150
What is Simple Interest?
Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the simple interest be represented as S
Now , the value of S is
The principal amount = $ 5,000
The rate of interest R = 3 %
The time period T = 1 year
So , the Simple Interest is given by the equation
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Substituting the values in the equation , we get
Simple Interest S = ( 5000 x 3 x 1 ) / 100
On simplifying the equation , we get
Simple Interest S = 150000 / 100
Simple Interest S = $ 150
Therefore , the value of S is $ 150
Hence , the simple interest for the deposit is $ 150
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Find the exact value of sin space 2 theta when tan theta equals negative 12 over 5 where fraction numerator 3 pi over denominator 2 end fraction less or equal than theta less or equal than 2 straight pi.
Answer:
-120/169
Step-by-step explanation:
Sin2theta = 2sintheta costheta
Given that tan theta = -12/5
Opposite = -12
Adjacent = 5
Using Pythagoras theorem
Hyp = √(-12)²+5²
Hyp = √144+25
Hyp = √169
Hyp = 13
Cos theta = adj/hyp
Cos theta = 5/13
Sin theta = opp/hyp
Sin theta = -12/13
Substitute
Sin2theta = 2(-12/13)(5/13)
Sin2theta = -120/169
Hence sin 2theta = -120/169
Whats 8 2.5% of 75?Write your answer as a decimal.
help guys soal integral
Answer:
E. [tex] \purple { \bold{ \frac{2}{3} ( \frac{x - 1}{x} ) \sqrt{\frac{x - 1}{x} } + c }}[/tex]
Step-by-step explanation:
[tex] \int \sqrt{ \frac{x - 1}{ {x}^{5} } } dx \\ \\ = \int \sqrt{ \frac{x - 1}{ {x}^{4} .x} } dx \\ \\ = \int \frac{1}{ {x}^{2}}\sqrt{ \frac{x - 1}{ x} } dx \\ \\ = \int \frac{1}{ {x}^{2}}\sqrt{ 1 - \frac{1}{ x} } dx \\ \\ let \: 1 - \frac{1}{ x} = t \\ \\ \implies \: \frac{1}{ {x}^{2} } dx = dt \\ \\ \implies \int \frac{1}{ {x}^{2}}\sqrt{ 1 - \frac{1}{ x} } dx = \int \sqrt{t} dt \\ \\ = \int {t}^{ \frac{1}{2} } dt \\ \\ = \frac{t ^{ \frac{3}{2} } }{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} t ^{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} \sqrt{ {t}^{3} } + c \\ \\ = \frac{2}{3} t\sqrt{ {t} } + c \\ \\ = \frac{2}{3} (1 - \frac{1}{x} ) \sqrt{1 - \frac{1}{x} } + c \\ \\ \red{ \bold{= \frac{2}{3} ( \frac{x - 1}{x} ) \sqrt{\frac{x - 1}{x} } + c }}\\ \\ [/tex]