Answer:
D. The graph is symmetric about the origin.
Step-by-step explanation:
got it right on edge :)
The correct option is Option D: The graph is symmetric about origin.
What is the arctan function?The function f(x) = arctan x is the inverse of tangent function y=tanx.
Checking all the options
Option A: This option is incorrect as the domain of arctan x is real number R i.e. (-∞,∞). arctan x is valid for all values of x between -∞ to ∞.
Option B: This option is incorrect as the range of the function arctan x is (-π/2, π/2) which is the restricted domain of the tan x.
Option C: This option is incorrect as the graph is continuous in R and also bounded in (-π/2, π/2) so it has no vertical asymptotes. But tan x has vertical asymptotes.
Option D: This option is correct as from the graph it is also clear that this function arctan x is symmetric about the origin. Also, function arctan x is an odd function. As odd functions are symmetric about origin, arctan x is symmetric about the origin.
Therefore The correct option is Option D: The graph is symmetric about origin.
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7. In how many ways can 7 different flowers be arranged in a row?
Determine the number of zeros of the polynomial function.
f(x) = x3 + 3x2 + 2
Answer:
3
Step-by-step explanation:
the fundamental theorem of Algebra states that a polynomial of degree n has n zeros, some of which may be complex.
f(x) = x³ + 3x² + 2 ← is a polynomial of degree 3
Then number of zeros is 3
combine like terms in the expression 2y-8+3y+7-y
Answer:
I think the answer is( =4y-1)
Step-by-step explanation:
2y-8+3y+7-y
=2y+3y-y-1
=4y-1
What is the value of the expression shown? 10 - 16 + 2
Answer:
-4
Step-by-step explanation:
First we combat the 10 - 16 so we get - 6
Then we fight the -6 and the 2 to get -4
The value of this fight was -4 :)
Have an amazing day!!
PLEASE RATE AND MARK BRAINLIEST!!!
The lunch lady pushes a 100 kg zombie with 300 N of force. How much is the zombie accelerated? How do you solve is is division or multiplication
Step-by-step explanation:
Use Newton's second law. Force equals mass times acceleration.
F = ma
300 N = (100 kg) a
a = 3 m/s²
68-95-99.7 Rule
So
LEARNING OBJECTIVE: Identify the percent of data that is between two values
using a given standard deviation, mean, and the 68-95-99.7 rule.
68
At a nearby frozen yogurt shop, the mean cost of a pint of frozen yogurt is $1.50
with a standard deviation of $0.10.
Assuming the data is normally distributed, approximately what percent of
customers are willing to pay between $1.30 and $1.70 for a pint of frozen
yogurt?
T
9514 1404 393
Answer:
95%
Step-by-step explanation:
The given limits differ from the mean by ...
1.30 -1.50 = -0.20
1.70 -1.50 = 0.20
These values are 2 × the standard deviation of 0.10. The 68-95-99.7 rule tells you that 95% of the population lies within 2 standard deviations of the mean.
For this question, that means 95% of customers are willing to pay between $1.30 and $1.70.
here a subtraction problem that has been solved incorrectly 21-9=11 what is the correct way
Convert MCCCXL{roman numerals} into numbers
Answer:
one thousand three hundred and forty
Step-by-step explanation:
M stands for one thousand
C stands for one hundred
C stands for one hundred
C stands for one hundred
XL stands for forty
Answer:
1340
Step-by-step explanation:
M = 1000
C = 100, since he have 3 C's, it becomes 300
L = 50
X = 10
The X is behind the L so the value is subtracted by 10.
L(50) - X(10) = XL(40)
Use the given conditions to write an equation for the line in point-slope form and general form.
Passing through (-7,9) and parallel to the line whose equation is 7x - 4y - 9 = 0
The equation of the line in point-slone form is
Answer:
(y - 9) = 7/4(x + 7)
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope slopes.
The first line is 7x - 4y - 9 = 0.
First let's convert this to y = mx + b form.
7x - 4y - 9 = 0Add 4y to both sides.
7x - 9 = 4yDivide each term by 4.
y = 7/4x - 9/4The slope is 7/4. A line parallel to this one will also have a slope of 7/4.
The standard point-slope form is:
(y - y₁) = m(x - x₁)For the point-slope form, you need two things: a point and a slope.
point: (-7, 9)slope: 7/4.Plug in our given information.
(y - 9) = 7/4(x - (-7))Simplify.
(y - 9) = 7/4(x + 7)Learn with another example.
https://brainly.com/question/26681302
Hope this helps!
Let's consider the information given:
line passes through (-7,9)line is parallel to 7x - 4y - 9 = 0What do we want to solve: put the equation of the line in point-slope form
⇒ point-slope form ⇒ [tex]y-y_{0}=m(x-x_{0} )[/tex]
[tex](x_{0} ,y_{0} )[/tex] : any point on the linem: slope Find the slope of 7x - 4y = 9⇒ first put it into slope-intercept form [tex]y = mx +b[/tex]
-where m is the slope and b is the y-intercept
[tex]7x-4y-9=0\\7x-4y=9\\-4y=-7x+9\\y=\frac{7}{4}x-\frac{9}{4}[/tex]
⇒ Slope is 7/4
2. When two lines are parallel, their two slopes are equal, and since
the line passes through (-7,9), use point-slope form
[tex]y-9=\frac{7}{4}(x+7)[/tex] <== point-slope form
What do we also want: find the general form ⇒ Ax + By = C
A: coefficient of xB: coefficient of yC: constant To find the general form, move all the variables to one side and the constant to the other, using the point-slope form[tex]y-9=\frac{7}{4}(x+7)\\ y-9=\frac{7}{4}x+\frac{49}{4} \\-\frac{7}{4}x+y=9+\frac{49}{4} =\frac{36}{4} +\frac{49}{4} =\frac{85}{4} \\-\frac{7}{4}x+y=\frac{85}{4}[/tex]<== general form
Hope that helps!
A quiz consists of 20 multiple-choice questions, each with 4 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 70 %.
Find the value of x
A. 25°
B. 85°
C. 75°
D. 105°
Answer:
75⁰ Please refer to the picture above for the answer
find the volume of the cylinder formed when the rectangle in the figure is rotated about the x-axis.
A. 62.83 units
B. 157.08 units
C. 314.15 units
D. 31.42 units
Answer:
A
Step-by-step explanation:
that means the radius of the left and right circles is 2 units.
and the height of the cylinder is 5 units.
the volume of a cylinder is calculated by first standing it upright on one of the circles, and then the volume is ground area times height.
the area of a circle is pi×r².
so the volume here for us is then
pi×2²×5 units = pi×4×5 = pi×20 = 62.83185307... units
and that makes A the correct answer.
The discount on a floor lamp is 20% off it is on sale for $17 what is the original price of the floor lamp
Answer:
$21.25
Step-by-step explanation:
x - x(0.20) = 17
0.8x = 17
x = 21.25
A rare book was offered for sale in 2018 for $800. Because it was so rare, in increased in value by 10% in 2019. It increased in value again in 2020 this time by 20%. If you know how percentages work, you know that it increased by MORE than 30% in this time period. By what percent did it increase over the 2 year period?
Answer:
32%
Step-by-step explanation:
too lazy to type it out.
Answer:
32%.
Step-by-step explanation:
Value in 2019 = 800 + 10% of 800
= 800 + 0.1*800
= $880.
In 2020 , value
= 880 + 0.2*880
= $1056.
Increase in value over 2 years = 1056 - 800 = $256.
% increase = 100 * 256/800
= 32%.
Factor the expression,
x^2 + 7xy - 44y^2
Answer:
(x + 11y)(x - 4y)
Step-by-step explanation:
-44 = 11*(-4)
11 + (-4) = 7
so x² + 7xy - 44y² = (x + 11y)(x - 4y)
Hello can someone please answer this question i will mark you the Brainliest
Answer:
2(L ×W) +2(L×H)+2(W×H)
Step-by-step explanation:
find the answer of that
Answer:
180 cm 2
Step-by-step explaination:
2 ( lxw) + 2(lxh) + 2(wxh)
40 + 40 + 100
180
My father’s monthly salary is twice what my mother makes in a month. Their combined salary is P27,000
Please help !
Step-by-step explanation:
mother salary: x
father salary:2x
total salary =27000
therefore 3x=27000
so x=900 (divided by 3)
therefore mother salary = 900
father salary=2multiplied by 900=1800
Answer:
Father's monthly salary is P18,000
Mother's monthly salary is P9,000
Step-by-step explanation:
The problem above can be solved by using "algebraic expressions."
Let x be the father's monthly salary
Let y be mother's monthly salary
Formula: x + y = P27,000
If father's monthly salary is twice than what mother makes, then: x = 2y, which means,
2y (father's salary) + y (mother's salary) = P27,000
First step: 2y + y = P27,000
Second step: 3y = P27,000
Third step: y = [tex]\frac{P27,000}{3}[/tex]
Fourth step: y = P9,000
So, mother's salary is P9,000. This means we can get father's salary:
2y = 2 × P9,000 = P18,000 (this is the value of x)
So, father's salary is P18,000.
If we combine both of their salaries, the product is P27,000.
x + y = P27,000
P18,000 + P9,000 = P27,000
So, this explains the answer.
I need help with pre algebra 8th grade
Answer:
ok whats the problem
Step-by-step explanation:
Step-by-step explanation:
um were is the question
Aanya bought 2 1/2 yards of ribbon. She cuts the ribbon into pieces 3/8 of a yard in length. How many pieces does she have?
What is the value of x?
3
4
5
6
Answer:
x=3
Step-by-step explanation:
2×0.05=0.1
0.09x ÷ 0.09 = 1
2+x = 2+1 = 3
HENCE 3 IS THE ANSWER
A vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile. If the total cost of hiring a vehicle on one occasion is 170, how many miles were driven
Answer:
85
Step-by-step explanation:
Because 170 divided by 2.
The number of miles is 75 miles if the vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile.
Let x be the total number of miles:
From the question:
y be the total cost of hiring
y = 20 + 2x
y = 170
170 = 20 + 2x
150 = 2x
x = 150/2
x = 75 miles
Thus, the number of miles is 75 miles if the vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile.
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(30 pts.) I have the answer I just need someone to show me the steps, please!
Which bowl holds more water if it is filled to a depth of four units?
The hyperboloid z= √(1+x^2+y^2) for 1≤ z ≤ 5
The answer is: The hyperboloid holds more water with a volume of [112π/3]
I just need an explanation!!
5 stars and marked the brainiest if the explanation is done well!!
paraboloid: v = ∫[0,4]πz dz = 8π cone:
v = ∫[0,4]πz^2 dz = 64/3 π
hyperboloid: v = ∫[1,5]π(z^2-1) dz = 112/3 π
when you see that the cone's radius at the top of the water is √8, while the paraboloid's is only 2.
hope it helps.
Determine if 0.0590222222222222... is rational or irrational and
give a reason for your answer.
Answer:
Rational
Step-by-step explanation:
It can be represented as a fraction.
332/5625
0.0590222222222222... is a rational number.
We have,
0.0590222222222222.......
We need to determine whether this number is rational or irrational.
What are rational numbers and irrational numbers?A rational number is a number that can be written in p/q form where q≠0.
Some rational numbers are terminating.
Example: 45/2 = 22.5
Some rational numbers are recurring numbers.
Example: 556/3 = 185.33333333333...
The irrational number are those numbers that are non-terminating and non-recurring.
Example: 22/7 = 3.14285714285.....
We have,
0.0590222222222222......
Where 2 is recurring.
So it is a rational number.
Thus 0.0590222222222222... is a rational number.
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3. A playground designer wanted to place a fountain so that it was close to both the slide and the swings.
Refer to the coordinate grid shown. Each unit on the grid represents 5 ft.
(a) Find the distance from the fountain to the slide. Show your work.
Answer:
10ft
Step-by-step explanation:
Hi! Thanks for using Brainly! My work and explanation is shown below!
Equation Used to Solve:
5x
Solve:
5(2)=10
The slide is 10ft away from the fountain since each unit equal 5 ft, each increase by 1 on the y-value is 5ft, and each increase by 1 on the x-axis is 5ft, meaning that if the slide is at (-2, 0) and the fountain is at (-2, -2) there was an increase of 10ft total.
Which inequality is represented by the graph?
A. y −3/2x−2
D. y≤−3/2x−2
Answer:
D.)
Step-by-step explanation:
April
carpeting. The floor is
a. Draw a sketch and label the label the
b. If the carpeting costs $1.75 per square foot, how much will it cost to buy the exact amount of
carpeting needed to cover the entire living room?
RESEALAB
Find cos(A) and tan(A)
Find a formula for the quadratic function whose graph has vertex (2,4) and y-intercept -3.
Answer:
[tex]y=-\frac{7}{4}x^2+7x-3\\[/tex]
Step-by-step explanation:
y - 4 = C(x - 2)²
y-intercept = -3, so x = 0, y = -3
-3 - 4 = C(2)²
so C = -7/4
[tex]y = -\frac{7}{4}(x-2)^2+4=-\frac{7}{4}(x^2-4x+4)+4=-\frac{7}{4}x^2+7x-7+4\\y=-\frac{7}{4}x^2+7x-3\\[/tex]
write a quadratic function h whose only zero is -4
Step-by-step explanation:
[tex]0 - 4 = x = x + 4 = 0[/tex]
[tex]0 = x = 1.11111111111...[/tex]
This equation ends completely without the use of zero
what is the slope of a line parallel 18x+15y=90
Answer:
-6/5
Step-by-step explanation:
Get y by itself to get the slope. So 18x+15y=90. Move 18x to the other side of the equation. Now you have 15y=-18x+90. Divide both sides by 15 to get y by itself. Now it's y= -18/15x + 6. Reduce -18/15 to the simplest fraction. You have y= -6/5x+6. Any number can replace the 6 in the equation to give you a parallel line...it's the slope that makes it parallel, not the y intercept. So y= -6/5x+10 or y=- -6/5x-1 would satisfy your parallel slope equation.
Answer:
[tex]\displaystyle -1\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]\displaystyle 18x + 15y = 90 \hookrightarrow \frac{15y}{15} = \frac{-18x + 90}{15} \\ \\ \boxed{y = -1\frac{1}{5}x + 6}[/tex]
Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so −1⅕ remains as is.
I am joyous to assist you at any time.