Answer:
1 1/2+4/5 and the vertical would be graphed?
Solve 2 sin²θ = -sinθ for θ with 0 ≤ θ<2π . Show your work.
The solution for the trigonometric expression 2sin²θ = -sinθ are θ = 0, π, 2π/3, 7π/6, and 11π/6 which are lies between 0 ≤ θ<2π.
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
It is given that:
The trigonometric expression is:
2 sin²θ = -sinθ where 0 ≤ θ< 2π
2 sin²θ + sinθ = 0
sinθ(2sinθ + 1) = 0
sinθ = 0 or sinθ = -1/2
θ = 0, π or θ = 2π/3, 7π/6, 11π/6
θ = 0, π, 2π/3, 7π/6, and 11π/6
Thus, the solution for the trigonometric expression 2sin²θ = -sinθ are θ = 0, π, 2π/3, 7π/6, and 11π/6 which are lies between 0 ≤ θ<2π.
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6(6 ÷ 2) · 9 in order of operation
S = 5r^2t (solve for the formula of t)
please i need answers asap!
How is graphing a two-variable inequality similar to graphing a one-variable inequality on the number line? HURRY PLEASE
Answer: “The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.”
- https://www.mathplanet.com
Step-by-step explanation:
Accrotime is a company that manufactures quartzcrystal watches. Accrotime researchers have shown that the watches have an average life of 28 months before certain electronic componentsdeteriorate, causing the watch to become unreliable. The standard deviation of watch lifetimes is 5 months, and the distribution of lifetimes is normal.
if Acro time does not want to make refunds for more than 12% of the watches it makes how long should the guarantee period be to the nearest month
if acro time guarantees a full refund on any defective watch for two years after purchase what percentage of total production should the company expect to replace
The guarantee period of the electronic components by Accrotime manufactures is 38 months.
What is defined as the normal distribution?A normal distribution is a data set arrangement in which the majority of values cluster inside the middle of the range and the remainder trimmed off symmetrically toward any extreme.It happens whenever a normal random variable does have a mean of zero and a standard deviation of one.mean = μ = 24 months
standard deviation = σ = 5 months
2 years = 24 months
a) P(x < 24)
= P[(x - μ ) / σ < (24 - 28) / 5]
= P[(x - μ ) / σ < -0.8
= P(z < -0.8 )
Using z table,
= 0.212
Percentage = 21.2%
b) Use standard normal table,
Refund percentage = 12%
P(Z > z) = 12%
= 1 - P(Z < z) = 0.12
= P(Z < z) = 1 - 0.12
= P(Z < z ) = 0.88
= P(Z < 0.174 ) = 0.94
z = 0.174
Using z-score formula,
x = z ×σ + μ
x = 1.74 × 5 + 28
x = 36.7
The guarantee period = 38 month
Thus, the guarantee period of the electronic components by Accrotime manufactures is 38 months.
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1. Which stem-and-leaf plot matches this data?
44, 68, 57, 52, 48, 48, 68, 58, 46, 78, 65, 57, 46, 59, 53, 76, 79, 74, 55, 66
A
4
5
6
7
C
4567
11135689
05668
02559
12
57789
3349
156789
22468
OA plot A
OB plot B
O c. plot C
OD plot D
B
4 23799
5
56
6
7
D
4
567
6
237
3345
00122337
46688
2357789
5688
4689
Answer:
answers are given below
Step-by-step explanation:
Stem Leaf
4 46688
5 2357789
6 5688
7 4689
What is the law of detachment in geometry. ELI5 please! Thank you! Oh P.S. ELI5 means Explain like I'm 5
In geometry "rule of detachment," states that if P leads to Q and P is true, then Q must also be true
What is geometry?The area of mathematics known as geometry is concerned with the dimensions, sizes, forms, and angles of a wide range of everyday objects. The terms "geometry" and "metron" are derived from Ancient Greek words that mean "measuring" and "Earth," respectively.
The most widely applied deductive reasoning premise is the Law of Detachment. This law states that the conclusion is valid whenever a conditional statement and its hypothesis are true. The conclusion can therefore be "separated" from the conditional.
According to the geometry's "rule of detachment," if P leads to Q and P is true, then Q must also be true. Despite the fact that it is stated in a different format, this is still a conditional statement.
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Mrs. Jonah’s class of 18 students checked out a total of 351 books from the library last year. What was the ratio of books to students? Responses
Answer:
39:2 (simplified)
Step-by-step explanation:
books : students
351 : 18
(divide by 9)
39 : 2
please read and help me
I WILL GIVE BRAINLIEST
To score an A, the score on the third test should be 79.
To lose your B grade, you have to score less than 49 on the third test.
What should be the score on the third test?The average of a set of numbers is the sum of the numbers divided by the total numbers.
Average = sum of scores / total numbers
90 = (86 + 85 + x) / 3
90 = (191 + x ) / 3
Where x is the score on the third test
In order to determine the value of x, take the following steps:
Multiply both sides of the above equation by 3
90 x 3 = 191 + x
270 = 191 + x
Subtract both sides of the equation by 191
270 - 191 = x
x = 79
The equation that represents the score that would make you lose the B grade is:
80 = (86 + 85 + x) / 3
80 = (191 + x) / 3
In order to determine the value of x, take the following steps:
Multiply both sides of the equation by 3
80 x 3 = (191 + x)
240 = 191 + x
Subtract 191 from both sides of the equation:
x = 240 - 191
x = 49
To lose your B grade, you have to score less than 49 on the third test.
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A shirt was originally priced at $60. The store is having a 20% off sale. How much will you
pay for the shirt after the discount (not including tax)?
Please help! I will mark brainliest! :)
Answer:
The measure of angle 3 is 30 (C).
Step-by-step explanation:
m<1, m<2, and m<3 have a sum of 180 Linear Pair Postulate
So 2x + 3x - 20 + x - 4 = 180
6x - 24 = 180
6x = 204
x = 34
Then you substitute and get 34 - 4 for angle 3 which = 4
Hope this helps!
Which inequality is represented by the number line?
The inequality represented by the given number line is; -4 ≥ x ≥ 5
How to Interpret Inequality Number Line?
From the given number line we can find the inequality. Some of the rules are that;
For a shaded circle pointing to the left means less than or equal to (≤)
For a shaded circle pointing to the right means greater than or equal to (≥).
For an unshaded circle pointing to the left means less than (<)
For a shaded circle pointing to the right means greater than (>)
Thus, applying the above to the inequality line gives;
-4 ≥ x ≥ 5
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Is 0.2525252525252525 a rational or irrational
Answer: Yes
Step-by-step explanation:
A repeating decimal can be a rational number.
Rational
Step-by-step explanation:Rational and irrational numbers are 2 of the broadest categories within real numbers.
Writing the Number as a Fraction
Rational numbers are defined as numbers that can be written as simple fractions. Simple fractions have integers for the numerator and denominator. This means neither the numerator nor denominator is a fraction or decimal. The number above is 0.25 repeated. When 2 digits are repeated you can place that number over 99 to create an equivalent fraction.
0.2525252525252525 = [tex]\displaystyle \frac{25}{99}[/tex]Since this number can be written as a fraction, it must be a rational number.
Bar Notation
Additionally, repeated decimals are always rational. In the example above, the digits .25 are repeated. If you don't want to write it as a fraction, you can use bar notation. Bar notation helps to shorten repeated decimals and show that they are rational. In this notation, you place a bar over the digits that are repeated.
0.2525252525252525 = [tex]0.\overline{25}[/tex]Henry has a total of 39 cards to play a game.
Every player must get 8 cards.
How many players can play this game?
Answer: 4 players can play and still have 8 cards each.
39÷8=4.875
Answer:
4 people
Step-by-step explanation:
39 cards / 8 cards = 4.87500
each person must have 8 cards, so only 4 people can play
the three angle bisectors of a triangle meet a point called the _____
Answer: The three angle bisectors of a triangle intersect at a single point. The point of concurrency of the angle bisectors is called the incenter. The three altitudes of a triangle are concurrent.
Step-by-step explanation:
What are the dimension of the actual garage?
Answer:
Is there any picture to go with it perhaps?
Step-by-step explanation:
What is the measure of the missing angle? show your work.
The measure of the missing angle is 112°.
Sum of Interior AngleWhen you need to find some interior angle of polygons, you can apply the formula for the sum of interior angle. This formula relate the number of sides of the polygon with the sum of interior angle. The formula is presented below.
S = (n – 2 )*180º, where:
S= sum of interior angles
n= number of sides of the given polygon
The given figure shows:
a polygon with 5 sides ;the angles of polygon are: 105°,118°,75°, 130° and x°.Applying the formula, S = (n – 2 )*180º, you find:
S=(5-2) * 180
S=3*180
S=540°
Now that you know the sum of the interior angles for the given polygon, thus:
x+105+118+75+130=540
x+428=540
x=540-428
x=112°
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Which statement is true of this function?
ƒ(x) = (²) — 2
O A. As the value of x increases, the value
B. The domain of the function is (-2, 00).
OC. The function has a y-intercept at (0,-2).
OD. The function is increasing.
The correct answer is [a]. As value of the x increases the value
According to this function, the value of f(x) grows closer to a constant as the value of x rises.
What is the purpose?A relationship between a group of the inputs and one output each is referred to as a function.
The function specified is;
[tex]f(x)= (\frac{1}{5})^{x}-2[/tex]
According to this function, value of f(x) travels in the direction of a constant as the value of x rises.
(-2,00) is function's domain.
The y-intercept of function is at (0,-2).
The performance is the deteriorating.
As a result, statement that this function advances toward a constant value as x rises is accurate.
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Ian has a loyalty card good for a discount at his local grocery store. The item he wants
to buy is priced at $34, before discount and tax. After the discount, and before tax,
the price is $30.60. Find the percent discount.
Ian got a discount of 3.4 and percent discount is 10% after buying the items he wants in the local grocery store
How to find the percent discount
Given data
price before tax and discount = $34
price after discount = $30.60
solving for discount
$34 - $30.60 = $3.4
percent discount
= 3.4 / 34 * 100 / 1
= 0.1 * 100
= 10%
Therefore we can say that Ian got a discount of 3.4 and percent discount is 10% after buying the items he wants in the local grocery store
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from a window 35 meters high, the angle of depression to the top of a nearby streetlight is 55.. the angle of depression to the base of the streelight is 57.8. how tall is the streelight/?
The height of the street light is approx. 3.5m.
Angle of depression is defined as the angle formed between the horizontal line and the line of sight when the observer looks down .
In the given question
let h be the height of the street light
let d be the distance from the base of building to the street light .
form the figure given below.
In ΔADE
[tex]tan(57.8)=\frac{AD}{DE}[/tex]
Substituting the value of AD and DE from the figure
[tex]tan (57.8)=\frac{35}{d} \\ \\ d=\frac{35}{tan(57.8)} \\ \\ d=\frac{35}{1.5879}[/tex]....substituting the value of tan (57.8)
d=22.04 m ...(i)
In ΔABC
[tex]tan(55)=\frac{AB}{BC}[/tex]
Substituting the value of AB and BC from the figure
since AD=AB+BD
35=AB+h
AB=35-h
[tex]tan (55)=\frac{35-h}{d}[/tex]
Substituting the value of d from (i)
[tex]tan (55)=\frac{35-h}{22.04}\\ \\ 35-h=tan(55)*22.04\\ \\ 35-h=1.428*22.04[/tex]( substituting the value of tan(55) )
[tex]35-h=31.47[/tex]
[tex]h=35-31.47\\h=3.53\\[/tex]
h≅3.5
Therefore , the height of the streetlight is approx. 3.5m .
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Find the two solutions to the equation below.
(3x − 4) (x + 5) = 0
Answer:
x= -5
Step-by-step explanation:
(3x-4) (x+5).=0
=3x-4x+5=0.
x=-5
62+41+(2)+(4) what is the answer to this
Answer:
109.
Step-by-step explanation:
62+41+(2)+(4) we can remove the brackets:
= 62 + 41 + 2 + 4
= 109.
pls solve it with steps pls
answer:
-30
explanation:
-5/2=-2.5
-2.5*12=-30
evaluate each expression for d=3
Answer:
if d = -3
1. 2d(-3d)
= 2(-3) × -3(-3)
= -6 × 9
= -54.
2. 8d + 14
= 8(-3) + 14
= -24 + 14
= -10.
3. -3d
= -3(-3)
= 9.
4. 12d - 28
= 12(-3) - 28
= -36 - 28
= - 64.
5. -5d -8
= -5(-3) - 8
= 15 - 8
= 7.
*can't see the last one tho
Complete the square to determine if the equation is a circle, quadratic (parabola) or other. Show all work and graph the circles and quadratics on a grid.
The equation of the ellipse, circle, and parabola will be written as (x + 9)² / 4 + (y - 1)² / 16 = 1, (x + 4)² + (y - 3)² = 40, and y = - (x + 3)²/ 4 + 1, respectively.
How to draw the graph of the function?Equation A is transformed as,
16x² + 4y² + 96x - 8y + 84 = 0
16(x² + 6x + 9 - 9) + 4(y² - y + 1 - 1) + 84 = 0
16(x + 9) - 144 + 4(y - 1)² - 4 + 84 = 0
16(x + 9)² + 4(y - 1)² = 64
(x + 9)² / 4 + (y - 1)² / 16 = 1
This is the equation of the ellipse.
Equation B is transformed as,
x² + y² + 8x - 6y - 15 = 0
x² + 8x + 16 + y² - 6y + 9 - 15 = 16 + 9
(x + 4)² + (y - 3)² = 40
This is the equation of the circle.
Equation C is transformed as,
x² + 6x + 4y + 5 = 0
x² + 6x + 9 - 9 + 4y + 5 = 0
y = - (x + 3)²/ 4 + 1
This is the equation of the parabola.
The graph of the function is given below.
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Alexandra′s car can travel 85 miles on 5 gallons of fuel. How far can the car travle on 12 gallons of fuel? Responses
204
You get 204 because first you divided 85 and 5 which equals 17.
Then you multiply 12 and 17 which equals 204.
I hope that this helps! :)
Answer:
204 miles
Step-by-step explanation:
So first we have to divide 85 by 5 which we get 17 then we multiply 17 by 12 which is 204. I hope this help but sorry I'm not that good at explaining thing
what is the gradient
what is the domain and range of this ?? HELP PLS
6. How many sixths are in 3 2/3
5. How many tenths are in 2 3/5?
Answer:
1. 12
2. 36
Step-by-step explanation:
3 * 2 / 3
multiply & divide by 2
= 3 * 2 * 2 / ( 3 * 2)
= 12 / 6
12 (twelve) sixths
Study
Answer:
36 tenths
Explanation:
Well the first part to working this out is understanding that there are 10 tenths in a whole. So 3 wholes is 30 tenths.
The second part is 3 over 5 or 3/5. To write this in tenths you have to effectively double it (if you double the denominator you must double the numerator) What ever you do to the top you must do to the bottom and vice versa. So that 3 over five becomes six over ten. Add them together now you can add these fractions because they are over the same denominator (their bottom number is the same)
30 tenths plus 6 tenths equals 36 tenths.
b. For what interval(s) is the function negative
Answer:
The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero).
Step-by-step explanation:
The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero).