Answer:
A. y = arcsinx and y = arccosx
Step-by-step explanation:
edge
The trigonometric functions have a domain of [–1, 1] is sine and cosine function.
What is Domain?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f(x) make up this set. A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given:
From the given identity, the following things can be interpreted:
cos²x = 1- sin² x
cos x = √(1- sin2x)
Since the cosine function is known to be defined for real numbers, the value contained within the root is always positive. Therefore,
1- sin²x ≥ 0
sin²x ≤ 1
sin x ∈ [-1, 1]
Similarly,
1- cos²x ≥ 0
cos²x ≤1
cos x ∈ [-1,1]
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There are 30.48 centimeters in 1 foot. About many feet are equivalent to 500 centimeters?
Answer:
16.4 feet, so about 16 feet.
Step-by-step explanation:
500 / 30.48 = 16.4
283.65 + 85.3 =?
Find the sum?
Answer:
368.95
Step-by-step explanation:
⇒ Line up the decimal places to add the numbers:
283.65
+ 85.3
—————
⇒ 85.3 is the same as 85.30:
1
283.65
+ 85.30
—————
368.95
Answer: 368.95
Hope this helps! :)
Answer:
198.35
Step-by-step explanation:
283.65
085.3
_______________
198.35
If we find that the null hypothesis, Upper H Subscript 0 Baseline colon beta Subscript j Baseline equals 0, cannot be rejected when testing the contribution of an individual regressor variable to the model, we usually should:___________
Answer:
Remove the variable from the Model
Step-by-step explanation:
Normally, when considering which variable to keep and which one to drop when considering testing of the contribution of an individual regressor variable to the model, generally speaking we use one explanatory variable for between 10-15 observations.
Now, before we run our regression, we would need to run correlation analysis between all explanatory variables to detect if there's any multicollinearity, and also between the dependent variable and the regressors in order to determine the most important predictors to be included in the regression.
So after the analysis, for the null hypothesis not to be rejected, we will remove the variable from the Model.
Please helpp I’ll give brainleist
Answer:
87 for lo and om is 56
Step-by-step explanation:
Answer:
<LON= 98 Degrees
Step-by-step explanation:
180-55(2)=70
70+28=98
Can anyone please help me with the last question I’m struggling!
The equation is x=-6
Step-by-step explanation:
In standard form the equation is y=4
And this is a horizontal line so the perpendicular line will be a vertical line of the form x=a
so that is why the equation is x=-6
Answer:
= -5
Step-by-step explanation:
I need an equation for this algebra problem
Answer:
2.5 hours
Step-by-step explanation:
Given
The information in the attachment
To solve this question, first we calculate the slope
[tex](t_1,B_1) = (1,19,5\%)[/tex]
[tex](t_2,B_2) = (2,13\%)[/tex]
The slope is:
[tex]m = \frac{B_2 - B_1}{t_2 - t_1}[/tex]
[tex]m = \frac{13\% - 19.5\%}{2-1}[/tex]
[tex]m = \frac{-0.065}{1}[/tex]
[tex]m = -0.065}[/tex]
The equation is calculated as:
[tex]B - b_3 = m(t - t_3)[/tex]
Where
[tex]m = -0.065}[/tex]
[tex](t_3,B_3) = (3,6.5\%)[/tex]
This gives
[tex]B - 6.5\% = -0.065(t - 3)[/tex]
[tex]B - 6.5\% = -0.065t +0.195[/tex]
[tex]B -0.065 = -0.065t +0.195[/tex]
[tex]B = -0.065t +0.195 +0.065[/tex]
[tex]B = -0.065t +0.26[/tex]
To calculate the time at 9.75%.
We take B = 9.75%
So, we have:
[tex]9.75\% = -0.065t +0.26[/tex]
Solve for t
[tex]0.0975= -0.065t +0.26[/tex]
Collect Like Terms
[tex]0.065t= -0.0975 +0.26[/tex]
[tex]0.065t= 01625[/tex]
[tex]t = 0.1625/0.065[/tex]
[tex]t = 2.5[/tex]
Hence, it will take 2.5 hours.
Determine the equation of the line passing through the point below having the corresponding
slope.
Point: ( - 25, -9)
Slope: m=1/5
Write your answer as an equation in the form
y = mx + b
Answer:
y=1/5x-4
Step-by-step explanation:
So, first we're gonna put this into point slope form, (y-y1)=m(x-x1), then we'll convert it. When you plug the numbers in, you get (y+9)=1/5(x+25)
Then, you simplify!
y= 1/5(x+25)-9
y=1/5x+5-9
y=1/5x-4
Hope this helped!
A solution contains 11 pints of antifreeze and seven pints of water . How many pints Of water must be added to 77 pints Of antifreeze to get a solution with the same concentration.
Please help me with question I don’t get it.
Answer:
49 pints of water
Step-by-step explanation:
that's the answer to the question
Answer: 49 pints
Step-by-step explanation: if they had 11pints of the anti freeze. And they multiplied it by 7 to get to 77! Therefore you take the multiplier that they used which was 7 and us it to the 7 pints. So then you will be multiplying 7x7 which would be 49.
What is the slope of the line that passes through the given points?
(-12,-4) and (11,-10)
Answer:
Y2-y1
X2-×1 = m
-12-(-10)
11-5 = -2/3
m= -2/3
Step-by-step explanation:
write equation asap
Answer:
y = 4/3x - 4.5
Step-by-step explanation:
1) find the slope 4/3
2) find the y-intercept
3) done ------> y = 4/3x - 4.5
Answer:
(5,2)(-1,-6)
Step-by-step explanation:
-6-2/-1-5
-8/-6
=4/3
Y+1=4/3(x+6)
Y+1=4/3x+8
Y=4/3x+7
Seth has 2 ¾ candy bars to give away. If he gives each person ⅛ of a candy bar, how many people will get candy?
Answer:
22 people
Step-by-step explanation:
Change 2 3/4 into a fraction, 11/4.
Then divide by 1/8
11/4 x 8/1 = 22
Need help :) plss will mark brainliest
Answer:
C
Step-by-step explanation:
2x + 2y = 4 -x+ 2y = 4
Answer:
x = 0, y = 2
Step-by-step explanation:
We can use substitution method to substitute 2y into 2x + 2y = 4.
-x + 2y = 4
2y = 4 + x --- Equation 1
2x + 2y = 4 --- Equation 2
Substitute Equation 1 into Equation 2:
2x + 2y = 4
2x + 4 + x = 4
3x + 4 = 4
Isolate 3x.
3x = 4-4
= 0
Find x.
x = 0 ÷ 3
x = 0
Substitute x = 0 into Equation 1:
2y = 4 + x
2y = 4 + 0
= 4
Find y.
y = 4 ÷ 2
y = 2
n
Which number line shows the graph of x2 11?
6
7
8
9
10
11 12 13
14
6
7
8
9
10
11
12
13
14
6
7
8
9
10 11
12 13
14
6
7
8
9
10
11
12
13
14
Answer:
11
Step-by-step explanation:
what is 20 percent of 90?
Answer:
18
Step-by-step explanation:
1. A business records its net profits for the week by subtracting the operating costs from the revenue. The function P(x) = (140x) – (30x + 1200) represents the profits for one week, where x is the number of products sold. Which statement is true?
a) The slope of the function is 110, and it represents the change in net profit per product sold.
b) The slope of the function is 140, and it represents the initial operating costs of the business
c) The slope of the function is 110, and it represents the initial operating costs of the business.
d) The slope of the function is 140, and it represents the change in net profit per product sold.
Find the diagonal of the box using the Pythagorean Theorem.
PLS HELP ASAP 50 POINTS PLEASE HELP ASAP PLEASEEE!!!! I NEED HELP ASAP
(Image Linked)
Answer:
26 cm
Step-by-step explanation:
Diagonal of the box using Pythagorean Theorem can be calculated using the formula:
a² + b² + c² = d²
Where,
d = diagonal of the box = ??
a = length = 24 cm
b = width = 8 cm
c = height = 6 cm
Plug in the value into the formula
24² + 8² + 6² = d²
576 + 64 + 36 = d²
676 = d²
√676 = d
d = 26 cm
Is each expression equivalent to 6 * 53? Justify your reasoning.
a. 6 * 50 + 6* 3
b. 10 * 53 -4 53
c. 6 50 + 3
d. 6 * (50 + 3)
Answer:
a, b, d. Yes c. NoStep-by-step explanation:
a. 6 * 50 + 6* 3 = 6* ( 50 + 3) = 6* 53
Yesb. 10 * 53 -4*53 = (10 - 4)*53 = 6*53
Yesc. 6 * 50 + 3 = 303
Nod. 6 * (50 + 3) = 6*53
YesAnswer:
A, B, D = Yes
C = No
6 * 50 + 6* 3 = 6* ( 50 + 3) = 6* 53
10 * 53 -4*53 = (10 - 4)*53 = 6*53
6 * 50 + 3 = 303
6 * (50 + 3) = 6*53
In a survey of 2300 people who owned a certain type of car, 460 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
20%
Step-by-step explanation
let's assume 100% = 2300
x% = 460
100% / x% = 2300/460
460x100/2300 = 20
the answer is 20%
Answer:
The survey shows that 20% of the individuals were satisfied with the car.
Step-by-step explanation:
We are given that 2,300 people were surveyed.We are also given that 460 of those individuals would buy that car again.We need to find the percentage of individuals that were satisfied with the car.When we need to find the percentage of a population, we can use the following formula:
[tex]\displaystyle \frac{\text{part}}{\text{whole}} \times 100[/tex]We need to identify the part and the whole in this problem.
We are given that 2,300 people are surveyed, so this is the whole portion.
We are also given that 460 were satisfied, so this is the part portion.
Therefore, we can set up our fraction.
[tex]\displaystyle \frac{460}{2300}[/tex]Now, let's solve the percentage.
[tex]\displaystyle \frac{460}{2300} \times 100\\\\\frac{2}{100} \times 100 = 20\%[/tex]
Therefore, of those surveyed, 20% of the individuals were satisfied with the car.
Robert is collecting books to donate to the library.
The number of books he collects, nn, is defined by n=14d+21 where d is the number
of days he spends collecting books.
What does 14 represent in the context of Robert's book collecting?
A represents the number of books per day that are collected.
B represents the number of books per week that are collected.
C represents the number of books per month that are collected.
D represents the number of books per year that are collected.
Number 6 btw
The answer is c because it makes sense that it would be months.
Answer:
is A because basically in my EXAM is just have the first option
A contestant in a weight-loss competition wants to lose an average of at least 8 pounds per month during a five-month period. Based on the progress report, how many pounds must the contestant lose in the fifth month to meet the goal?
Answer:
Can you import the progress report picture please
Step-by-step explanation:
So we can solve it
HELP!!! The probability that a male’s foot is between 10 and 12.5 inches is__
p(10
Answer:
I suggest you use Socratic, it solves questions like this.
Step-by-step explanation:
A store is offering a discount on shorts of 23.4%.The original price of the shirt is $13.24.how much will you have to pay the clerk
Answer:
Step-by-step explanation:
Hi
Answer:
13.24
Step-by-step explanation:
Your buying a shirt not shorts
Which expression is equal to 2xx−2−x+3x+5?
Answer:
It's the fourth one
Following are the solution to the given expression:
Given:
[tex]\bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}[/tex]
To find:
Expression =?
Solution:
[tex]\to \bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}\\\\\to \bold{\frac{2x(x+5) -(x+3) (x-2)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 -2x+ 3x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 +x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -x^2 -x+6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{x^2+9x+6}{(x-2)(x+5)}}\\\\[/tex]
Therefore, the answer is "last choice".
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christian has six grades from tests and IXL. they are all weighted equally. if christian grades are 100,96,96,88,70 and 100, what is the current average grade (round to the nearest whole number)
Answer:
His average grade would be 91.6... (or 92% if you're rounding up)
Step-by-step explanation:
Add 100, 96, 96, 88, 70, and 100 to get 550, then divide by 6 because there are 6 total grades.
WILL MARK BRAINLIEST PLS HELP
choose all of the points that are solutions to the equation y = x2 - 3x - 4
-4,0
-1, 0
0, -4
1, -6
1, 0
3, -7
pls
Answer:
-1,0
0,-4
1,-6
Step-by-step explanation:
plug in the first number into x and it gets you the second number
(-1, 0), (0, -4), (1, -6) points are solutions of the given quadratic equation.
What is a quadratic equation?A quadratic equation is an equation where the variable has the highest power of 2.
Given equation is y = x² - 3x - 4
1. For (-4, 0), L.H.S = 0, R.HS = (- 4)² - 3(- 4) - 4 = 24.
Hence, (-4, 0) is not a solution of the given equation.
2. For (-1, 0), L.H.S = 0, R.HS = (- 1)² - 3(- 1) - 4 = 0.
Hence, (-1, 0) is a solution of the given equation.
3. For (0, -4), L.H.S = -4, R.HS = (0)² - 3( 0) - 4 = - 4
Hence, (0, -4) is a solution of the given equation.
4. For (1, -6), L.H.S = -6, R.HS = (1)² - 3(1) - 4 = -6.
Hence, (1, -6) is a solution of the given equation.
5. For (1, 0), L.H.S = 0, R.HS = (1)² - 3(1) - 4 = -6.
Hence, (1, 0) is not a solution of the given equation.
6. For (3, -7), L.H.S = -7, R.HS = (3)² - 3(3) - 4 = -4.
Hence, (3, -7) is not a solution of the given equation.
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pls help me it would mean a lot <3
Answer:
The equation of the line will be:
[tex]y\:=\:\frac{2}{5}x[/tex]Step-by-step explanation:
We know the slope-intercept of a line equation is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Given two points on a line graph
(0, 0)(25, 10)Finding the slope between two points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(25,\:10\right)[/tex]
[tex]m=\frac{10-0}{25-0}[/tex]
[tex]m=\frac{2}{5}[/tex]
We know that the y-intercept on a line graph can be observed by setting x=0 and checking the corresponding value of y.
From the graph, it is clear
at x = 0, y = 0
Thus, the y-intercept = b = 0
Now, substituting b = 0, and m = 2/5 in the slope-intercept form
[tex]y = mx+b[/tex]
[tex]y\:=\:\frac{2}{5}x+0[/tex]
[tex]y\:=\:\frac{2}{5}x[/tex]
Therefore, the equation of the line will be:
[tex]y\:=\:\frac{2}{5}x[/tex]A group of students organized a car wash to raise money for a local charity. The students charged $5.00 for each car they washed. In 3 hours, they washed 12 cars. At that rate, how much money could they earn from washing cars for eight hours?A grocery store sells a bag of 5 lemons for $2.00. What is the unit cost of each lemon in the bag?
Answer:
$160 0.4/lemon
Step-by-step explanation:
5 per car wash
12 cars in 3 hours
4 cars per hour times 8= 32 cars in 8 hours
32 times 5= 160
5 lemons for 2.00
Unit cost= 0.4 per lemon
A TV store buys TV's for $250 each, and then increases the price by 120%. What is the sales price of a TV at this store?
Answer:
$300
Step-by-step explanation:
Answer:
$300
Step-by-step explanation:
250 100
? 120
(250x120)/100
CAN SOMEONE PLEASE ANSWER THIS QUESTION ASAP!!
