The quadrants is tan⁻¹x restricted is A. Quadrants I and IV
To answer the question, we need to know what tan⁻¹x is.
What is tan⁻¹x?tan⁻¹x is the inverse trigonometric function of tanx, which is the value of the angle for tanx.
Quadrant in which tan⁻¹x is restrictedTo find the quadrants in which tan⁻¹x is restricted, we know that tanx lies in the range
-∞ ≤ tanx ≤ +∞ for -90° ≤ x ≤ 90°.
Since the inverse function of tanx is x.tan⁻¹x lies between -90° and 90°. That is -90° ≤ tan⁻¹x ≤ 90°.Since 90° lies in first quadrant and -90° lies in the fourth quadranttan⁻¹x lies between quadrant I and IV
So, the quadrants is tan⁻¹x restricted is A. Quadrants I and IV
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Your bathroom floor is a square with side lengths of 9 feet. (Area = s^2)
A contractor is tiling your bathroom with one-foot square tiles. How many tiles are needed for the job?
Answer: 81.
Step-by-step explanation: It is given that the side lengths are all 9 feet. Since the bathroom is a square, all the sides of the bathroom are 9 feet. You can use the formula (area = s^2). 9 x 9 is 81.
28 Jess bought a new car for £12 000.
In the first year the value of the car depreciates by 20%.
In the second year and the third year the car depreciates by 15%
Work out the value of the car after three years.
The value of the car after three years is £6936
How to determine the value of the car?The initial value of the car is given as:
Value = £12000
When the value depreciates by 20% after the first year, the new value of the car is:
New = £12000 * (1 - 20%)
Evaluate
New = £9600
When the value depreciates by 15% after the second year, the new value of the car is:
New = £9600* (1 - 15%)
Evaluate
New = £8160
When the value depreciates by 15% after the third year, the new value of the car is:
New = £8160 * (1 - 15%)
Evaluate
New = £6936
Hence, the value of the car after three years is £6936
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The side length of a square is 9 units. The square is reflected over the x-axis in the coordinate plane. What is the length of the side of the image? 0 10 -9 9
Answer:
9 units
Step-by-step explanation:
Reflections do not change the size of a shape, only dilations do. The side length will stay 9 units.
I'm to lazy to do this-
(image below)
plx do this correctly for brainly :D
also 20 points
:)
The probability that the lunch combo will have an ham sandwich is 3 / 7.
How to find the probability of Ham sandwich?Probability simply means possibility. It describes how likely an event will occur or happen.
Mathematically,
probability = number of favourable outcome to A / total number of possible outcome
Therefore,
probability that a lunch combo will include a ham sandwich = 6 / 14 = 3 / 7
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Someone pls help me ASAP! Express the following as the sum of its partial fraction: 2x+4/x(x+2)(x-4)
The sum of the partial fraction is [tex]\frac{2x + 4}{x(x + 2)(x -4)} = -\frac 12 + \frac{1}{2(x -4)}[/tex]
How to express as partial fractions?The expression is given as:
[tex]\frac{2x + 4}{x(x + 2)(x -4)}[/tex]
As a partial fraction, we have:
[tex]\frac{2x + 4}{x(x + 2)(x -4)} = \frac Ax + \frac{B}{x + 2} + \frac{C}{x -4}[/tex]
Take the LCM
[tex]\frac{2x + 4}{x(x + 2)(x -4)} = \frac {A(x + 2)(x -4) +Bx(x -4) + Cx(x + 2)}{x(x + 2)(x -4)}[/tex]
This gives
2x + 4 = A(x + 2)(x -4) +Bx(x -4) + Cx(x + 2)
Expand
[tex]2x + 4 = A(x^2 - 2x - 8) + B(x^2 - 4x) + C(x^2 + 2x)[/tex]
Further expand
[tex]2x + 4 = Ax^2 - 2Ax - 8A + Bx^2 - 4Bx + Cx^2 + 2Cx[/tex]
Collect like terms
[tex]2x + 4 = Ax^2 + Bx^2 + Cx^2 - 2Ax - 4Bx + 2Cx - 8A[/tex]
By comparing the coefficients, we have:
A + B + C = 0
-2A - 4B + 2C = 2
-8A = 4
Divide both sides of -8A = 4 by -8
[tex]A = -\frac 12[/tex]
Substitute [tex]A = -\frac 12[/tex] in the other equations
[tex]-\frac 12 + B + C = 0[/tex]
[tex]B + C = \frac 12[/tex]
[tex]C = \frac 12 - B[/tex]
[tex]-2*- \frac 12 - 4B + 2C = 2[/tex]
1 - 4B + 2C = 2
- 4B + 2C = 1
Substitute [tex]C = \frac 12 - B[/tex] in - 4B + 2C = 1
[tex]- 4B + 2*\frac12 = 1[/tex]
- 4B + 1 = 1
Subtract 1 from both sides
-4B = 0
This gives
B = 0
Substitute B = 0 in [tex]C = \frac 12 - B[/tex]
[tex]C = \frac 12 - 0[/tex]
[tex]C = \frac 12[/tex]
So, we have:
[tex]A = -\frac 12[/tex], B = 0 and [tex]C = \frac 12[/tex]
The equation [tex]\frac{2x + 4}{x(x + 2)(x -4)} = \frac Ax + \frac{B}{x + 2} + \frac{C}{x -4}[/tex] becomes
[tex]\frac{2x + 4}{x(x + 2)(x -4)} = -\frac 12 + \frac{0}{x + 2} + \frac{1}{2(x -4)}[/tex]
Evaluate
[tex]\frac{2x + 4}{x(x + 2)(x -4)} = -\frac 12 + \frac{1}{2(x -4)}[/tex]
Hence, the sum of the partial fraction is [tex]\frac{2x + 4}{x(x + 2)(x -4)} = -\frac 12 + \frac{1}{2(x -4)}[/tex]
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Factor out 1/6 out of 1/6x -7/6
Answer:
(x-7)
Step-by-step explanation:
(1/6)*(x-7)= (1/6)x-(7/6)
Hello! :D can someone help me solve this system of equations in the picture
By identifying the intersection between the graphs, we conclude that the solution is (-3, 4).
How to solve the system of equations?To graphically solve a system of equations, we need to graph the equations of the system in the same coordinate axis, and then find the intersection points between the graphs.
Here we already have the equations graphed, so we only should find the points of intersection.
We can see two red lines, we can see that the lines intersect at the point (-3, 4). This means that the solution of the system of equations is the point (-3, 4).
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What is the equation of the line shown in this graph?
Answer:
x = -2
Step-by-step explanation:
Since this is a vertical line, the equation of the line will not be in y = mx+b form. The slope of the line is undefined. So, the equation will be x =.
To figure out what x equals, look at all the x values in the coordinates or look to see where it crosses the x axis, which is at -2.
The equation is x = -2.
Two functions are given below. Make sure to explain!
Answer:
B. The graph of p is less steep than the graph of q.
Step-by-step explanation:
We can start by looking at each equation's y-intercepts, which are both -3/11, eliminating option A.
Next, we take a look at each equation's slope to see which is larger.
5/8 is 0.625 in decimal form. 8/5 is 1.6 in decimal form.
Therefore, q(x) has the larger slope, meaning the graph of p is less steep than the graph of q. (B.)
Evaluate function at the given value using the remainder theorem.
f(a)=a^4-2a^3-10a^2-7a at a=-2
Answer:
6
Step-by-step explanation:
[tex]f(a)=a^4-2a^3 -10a^2 -7a \\\\f(-2) = (-2)^4-2(-2)^3 -10(-2)^2 -7(-2)\\\\~~~~~~~~~=16-2(-8)-10(4)+14\\\\~~~~~~~~~=30+16-40\\\\~~~~~~~~~=46-40\\\\~~~~~~~~~=6[/tex]
solve the inequality h/3 >8
which means h divided by 3 less than 8
PLS HELP
THANKS
Answer:
h>24
Step-by-step explanation:
multiply both sides by 3 to get ride of the denominator:
h>24
how do you stop a skunk from smelling?
Answer:
Hold its nose
Step-by-step explanation:
You can actually de-scent a skunk if it is the powerful defensive odor you are referring to. When you have a skunk de-scented, they are no longer able to spray, and at this point they are now similar to having a pet cat or dog; lovable and highly desire affection and attention from their owners.
Please help meeeeeee thank youuu
KJ and GH
FG and KF
FI and GH
FI and JH
The lines that best represent perpendicular lines are: D. FI and JH.
What are Perpendicular Lines?Perpendicular lines are lines that meet at a right angle, that is, the point of their intersection forms a right angle.
From the image given, lines FI and JH intersect at point I, and also appears to form a right angle.
Therefore, the lines that are perpendicular in the image are: D. FI and JH.
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a.) Find h(g(x)) if
h(x)= 2x+9
and
g(x) = 4*
Answer:
h(4)=17
Step-by-step explanation:
h(g(x)), h(x)= 2x+9; g(x)=4
2(4)+9= 8+9=17
A school is constructing a rectangular play
area against an exterior wall of the school
building. It uses 120 feet of fencing material to
enclose three sides of the play area.
Write an equation to represent &, the length of
the play area in feet, as
function of w. the width in teet.
Write an equation to represent A, the area in
square feet, as a function of w.
the width in feet.
WILL GIVE BRAINLIEST TO WHOEVER ANSWERS
Answer:
120 = L+2W
LW =area.
to maximize area with given fencing that would make Width = 30 feet and length = 60
A= LW = (120-2W)W = 120W -2W^2
A' = 120-4W =0
W = 30
L=120-2(30) = 60 feet
W by L is 30 by 60 feet for max area
What is the probability of the spinner stopping on an even number?
if x=0 and y<0, where is the plot (x,y) located
Mark me the Brainliest!
Answer:
The point will be plotted on Y axis
Dale has $1,000 to invest. He has a goal to have $2,600 in this investment in 8 years. At what annual rate compounded continuously will Dale reach his goal?
Answer:
11.94 %
Step-by-step explanation:
Compound interest formula FV = PV e^(it) i = decimal interest per year
t = time FV = future value
2600 = 1000e^(i * 8)
solve for i = 11.94 %
medain of 38,42,77,47,74,51,48,41,82,72,74,129
Answer:
The median of 38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, and 129 is 61.5.
Step-by-step explanation:
First, rearrange the data set in order.
38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, 129
38, 41, 42, 47, 48, 51, 72, 74, 74, 77, 82, 129
Identify how many numbers are in the set. This will make it easier to infer the median.
Counting will show that this is a 12 number data set.
To find the median:
If there are an ODD amount of numbers in a data set, take the middle number. That is your median.
If there are an EVEN amount of numbers in a data set, take the middle two numbers, add them, then divide that by 2. That is your median.
Knowing this, take your middle two numbers, 51 and 72, and add them and divide by 2.
51 + 72 = 123
123/2 = 61.5
The median of this data set is 61.5.
What is the image of (12, -9) after a dilation by a scale factor of 1/3 centered at the origin
Answer:
(4,-3)
Step-by-step explanation:
The scale factor is 1/3. So, multiply the numbers by 1/3.
12*1/3 is 4.
-9*1/3 is -3.
The new coordinates are (4,-3).
The demand function for a christmas music cd is given by q=0. 6(3800-p^2)
The expression E(p) represents the elasticity at point p and by putting the known data we can find the value of elasticity.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a demand function:
q=0. 6(3800-p²)
Differentiate with respect to p:
[tex]\rm \dfrac{dq}{dp} = -1.2p[/tex]
We know the elasticity:
[tex]\rm E(p) = \dfrac{dq}{dp}\times\dfrac{p}{q}[/tex]
[tex]\rm E(p) =-1.2p \times\dfrac{p}{0.6(3800-p^2)}[/tex]
[tex]\rm E(p) = -\dfrac{2p^2}{(3800-p^2)}[/tex]
Here the data for p and q are not given, but we can find any value using the above expression by putting the known data.
Thus, the expression E(p) represents the elasticity at point p and by putting the known data we can find the value of elasticity.
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In a window display flower shop, there are 3 spots for 1 plant each. to fill these 3 spots, emily has 6 plants to select from, each of a different type. selecting from the 6 plants, emily can make how many possible display arrangements with 1 plant in each spot?
Using the permutation formula, it is found that Emily can make 120 arrangements with 1 plant in each spot.
We are working with an arrangement, which means that the order in which the plants are inserted is important, hence the permutation formula is used to solve this question.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 3 plants are selected from a set of 6, hence the number of arrangements is given by:
[tex]P_{(6,3)} = \frac{6!}{3!} = 120[/tex]
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Please do both you get 100 points!!
#6
Sum of exterior angles of any polygon=360°
sides=6
Measure of one angle
360/660°Option D
#7
4ft=1cm
32ft=32/4=8cmand
60ft=60/4=15cmDimensions are 8cm and 15cm
Option B
Answer:
6. d. m∠YXZ = 60°
7. b. 8 cm x 15 cm
Step-by-step explanation:
Question 6
∠YXZ is the exterior angle of a regular polygon
Exterior angle of a regular polygon = 360° ÷ number of sides
⇒ ∠YXZ = 360° ÷ 6
⇒ ∠YXZ = 60°
Question 7
Scale 1 cm : 4 ft
Therefore, to convert actual dimensions in feet to sketch dimensions in centimeters, divide dimensions in feet by 4:
⇒ width = 32 ft
⇒ width = 32 ÷ 4 = 8 cm
⇒ length = 60 ft
⇒ length = 60 ÷ 4 = 15 cm
Therefore, the dimensions of the sketch are 8 cm x 15 cm
HELP ASAP....NO LINKS AND NO JOKES PLEASE
Which point represents one solution of the system of inequalities below
3x+8y<=480
y-x<=20
A. (50,50)
B. (40,40)
C. (20,60)
D. (10,40)
Explanation:
Given Inequalities:
(i) 3x + 8y ≤ 480
(ii) y - x ≤ 20
For first inequality:
(a) y intercept: (0, 60)
(b) x intercept: (160, 0)
Plot this line with a solid line and shade below.For second inequality:
(a) y intercept: (0, 20)
(b) x intercept: (-20, 0)
Plot this line with a solid line and shade below.The point (40, 40) falls between these two inequalities.
2
3
4
5 6
미
8 9 10
What is the value of x in the equation 8x - 2y = 48, when y = 4
6
7
14
48
Answer:
x=7 ................................
I need help finding the length of the apothem! We have to round one decimal place.
Answer: 5.2
The apothem angle is 360/10, which is 36.
Therefore, we have tangent 36 = 3.8/a
And solving for a, we find that it is 5.2
Let u = {5,-12} and let c = -3. What is ll cu ll
Answer:
D) 39
Step-by-step explanation:
[tex]||\text{c}\bold{u}||=||3\langle5,12\rangle||=||\langle3*5,3*12\rangle||=||\langle15,36\rangle||=\sqrt{15^2+36^2}=\sqrt{225+1296}=\sqrt{1521}=39[/tex]
Suppose f(x)=6x-2 and g(x)=2x+4. Find each of the following functions.
a. (f+g)(x)
b. (f-g)(x)
Need help guys
[tex] \tt \pink{nonsense = report}[/tex]
[tex] \tt \pink{correct = brainliest.\: heart. \: rate \: 5}[/tex]
Given : f(x) = 6x - 2 and g(x) = 2x + 4 .
Need To Find : Functions : (I). (f+g)(x) &, (II). (f-g)(x) .
ㅤ(I) (f+g)(x)
[tex]\sf\quad\dashrightarrow \:\: \big(\:f\:+\:g\: \big)\:x\: \:\\\sf\quad\dashrightarrow \:f \big(x \big)\:+\:g \big(x \big)\:\:\\\sf\quad\dashrightarrow \: \big(6x-2 \big)\:+\: \big(2x+4 \big)\:\:\\\sf\quad\dashrightarrow \:6x-2\:+\:2x+4\:\:\\\pmb{\sf\quad\dashrightarrow \:8x \: +\: 2\:}\:\\[/tex]
ㅤ(I) (f-g)(x)
[tex]\sf\quad\dashrightarrow \:\: \big(\:f\:-\:g\:\big)\:x\: \:\\\sf\quad\dashrightarrow \:f\big(x\big)\:-\:g\big(x\big)\:\:\\\sf\quad\dashrightarrow \:\big(6x-2\big)\:-\:\big(2x+4\big)\:\:\\\sf\quad\dashrightarrow \:6x-2\:-\:2x-4\:\:\\\pmb{\sf\quad\dashrightarrow \:4x \: -\: 6\:}\:\\[/tex]
A scale model of a rectangular plot of land is 13 inches long by 12 inches wide. If the actual length of this plot is 780 feet, what is its actual area, in square feet?
A) 9360
B) 121,680
C) 406,080
D) 561,600
Please explain step-by-step
By finding the scale factor of the model, we will see that the area is 561,600 square feet.
How to find the area of the plot of land?
On the model, the length is 13 inches, and the actual length is 780 ft, then the scale factor is:
k = (780ft)/(13 in) = 60 ft/in
This means that each inch in the model is equal to 60ft in the actual plot of land.
Then the width is:
W = (12in)*( 60 ft/in) = 720 ft
And the area is the product between length and width, so we have:
A = (780ft)*(720ft) = 561,600 ft²
Then the correct option is D.
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function or not a function?
Answer:
function
Step-by-step explanation:
no repeated domain means its a function