Answer:
π/2 + n*π
Step-by-step explanation:
All real numbers except π/2 + n*π
Answer:
Step-by-step explanation:
For some problems, stating the domain actually means to identify what x CANNOT be as opposed to what x IS. This occurs with tangent and cotangent functions along with rational functions.
As far as the tangent function goes, look at your unit circle. Your unit circle gives you 2 values for each angle, the first value reflects the cosine of the angle and the second value reflects the sine of the angle. This is because cosine is directly related to the x values and sine is directly related to the y values; cos goes into the "x" position and sin goes into the "y" position inside the brackets just like x and y go into parenthesis for coordinates. Anyway, a ratio is undefined if the denominator equals 0, right? And since tangent is the same as sin/cos, tangent is undefined when cos is 0. This occurs at [tex]\frac{\pi}{2}+k\pi[/tex] . That means that tangent does NOT exist at pi over 2 and every integer of pi you add in after. Let's look at a couple of examples of how that domain "works". Adding in an integer means adding in 1, 2, 3, etc. If the domain of tangent is undefined at [tex]\frac{\pi}{2}+k\pi[/tex], then let's let k = 1, and
[tex]\frac{\pi}{2}+1\pi=\frac{\pi}{2}+\frac{2\pi}{2}=\frac{3\pi}{2}[/tex] . Now let k = 2:
[tex]\frac{\pi}{2}+2\pi=\frac{\pi}{2}+\frac{4\pi}{2}=\frac{5\pi}{2}[/tex]. Now let k = 3:
[tex]\frac{\pi}{2}+ 3\pi=\frac{\pi}{2}+\frac{6\pi}{2}=\frac{7\pi}{2}[/tex]. And it continues like that.
You can see when you graph the tangent function in radian mode on your calculator that these values where tangent is undefined show up as asymptotes. Use your unit circle and your graphs to determine the domain of trig functions.
A system of equations is shown below:
y = 3x − 7
y = 2x + 1
What is the solution to the system of equations?
(8, 17)
(−8, 17)
(−8, −17)
(8, −17)
Answer:
(8, 17)
Step-by-step explanation:
y= 3x -7 -----(1)
y= 2x +1 -----(2)
Substitute (1) into (2):
3x -7= 2x +1
Being x terms to one side, constant to the other:
3x -2x= 7 +1
x= 8
Substitute x= 8 into (2):
y= 2(8) +1
y= 16 +1
y= 17
∴ The solution is (8, 17).
Help me please with this math problem
Answer:
[tex]x=14[/tex]
Step-by-step explanation:
[tex](5x-14)+(8x+12)=180[/tex]
These two angles on the line is 180°
Solve the equation:
[tex]5x-14+8x+12=180[/tex]
[tex]5x+-14+8x+12=180[/tex]
[tex](5x+8x)+(-14+12)=180[/tex] {combine the like terms}
[tex]13x-2=180[/tex]
[tex]13x=180+2[/tex]
[tex]13x=182[/tex]
[tex]x=182/13[/tex]
[tex]x=14[/tex]
PROOF:
{substitute 14 in the place of x}
[tex](5(14)-14)+(8(14)+12)=180[/tex]
[tex]56+124=180[/tex]
[tex]180=180[/tex]
hope this helps....
I need help with the problem
Answer:
Non-linear
Step-by-step explanation:
While the difference in x terms remains constant at 1
The difference between y terms varies.
Answer:
Non-linear.
Step-by-step explanation:
G.1.- Una Recta contiene los puntos (-3,7)
y (9,-5) Calcule la ecuación de la recta en la
FORma y=mxtb. Explicar los pasos
Given:
A line passes through the points (-3,7) and (9,-5).
To find:
The equation of the line in the form of [tex]y=mx+b[/tex].
Solution:
If a line passes through two points, then the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
A line passes through the points (-3,7) and (9,-5). So, the equation of the given line is:
[tex]y-7=\dfrac{-5-7}{9-(-3)}(x-(-3))[/tex]
[tex]y-7=\dfrac{-5-7}{9+3}(x+3)[/tex]
[tex]y-7=\dfrac{-12}{12}(x+3)[/tex]
[tex]y-7=-1(x+3)[/tex]
On further simplification, we get
[tex]y-7=-x-3[/tex]
[tex]y-7+7=-x-3+7[/tex]
[tex]y=-x+4[/tex]
Therefore, the equation of the required line is [tex]y=-x+4[/tex].
Find the common ratio of the geometric sequence − 1 , − 9 , − 81 ,
Step-by-step explanation:
everything can be found in the picture
Use identities to simplify
(B)
Explanation:
[tex](\sec \beta + 1)(\tan \beta \csc \beta - 1)[/tex]
[tex]=\left(\dfrac{1}{\cos\beta} + 1 \right) \left(\dfrac{\sin \beta}{\cos \beta} \dfrac{1}{\sin \beta} - 1 \right)[/tex]
[tex]=\left(\dfrac{1}{\cos\beta} + 1 \right) \left(\dfrac{1}{\cos \beta} - 1 \right)[/tex]
[tex]= \left(\dfrac{1}{\cos^2 \beta} - 1 \right)[/tex]
[tex]= \left(\dfrac{1 - \cos^2 \beta}{\cos^2 \beta} \right)[/tex]
[tex]= \dfrac{\sin^2 \beta}{\cos^2 \beta}[/tex]
[tex]= \tan^2 \beta[/tex]
help me find answer i need answer please hlep
Answer:
7
Step-by-step explanation:
This is correct answer bro...
Answer:
7
Step-by-step explanation:
So first off, two numbers that are to the same root can be combined.
In this case we can combine these two values, since they are to the 5th root and are both 7:
[tex]\sqrt[5]{7*7^4}[/tex]
=
[tex]\sqrt[5]{49^4}[/tex]
This can be broken down into 7^2
This gets us [tex]\sqrt[5]{7^5}[/tex]
Remember that we add exponents, together, so in this case it adds up to 5.
You might be wondering...well if its 7^2 and 7^4, wouldnt it be 7^6?
Well, remember this. One of the 7s in 7^2 is from the 7^4, so tecnically it is 7^3 + 7^2, which is 7^5
Anyway, now we have:
[tex]\sqrt[5]{7^5}[/tex]
When you root a exponent, it works like subtraction.
In this case we have a exponent of 5, and a root of 5.
This is 5-5 = 0
So it will just be 7. Because the square and root cancel each other out, leaving us with 7.
Hope this helps!
Also, I just watched you waste someone elses answer so you could ask your own question. Instead of wasting other peopes answers, message me on one of my questions or answers, I will help you for free. :D
please help me please help me please help me please help me please help me please help me please
Answer:
1. -4
2(12,35,37). hope helpful answerAnswer:
Question 1 = 256
Question 2 = ( 7, 8, 12)
For the diagram below, which of the following represents the length of line MN to the nearest tenth?
The mean price for a 2,000sq foot home in FL is $240,000 with a Standard Deviation of $16,000. The mean price of the same sized home in OH is $170,000 with a standard deviation of $12,000. Which state would a home priced at $200,000 be closer to the mean price, compared to the distribution of prices in the state?
Find the z score for each state.
Answer:
The z-score for a home priced at $200,000 in Florida is of -2.5.
The z-score for a home priced at $200,000 in Ohio is of 2.5.
The closeness to the mean is measured by the absolute z-score(disconsidering the signal, the lower the score, the closer to the mean). However, in this case, both z-scores have the same absolute value, so in both Florida and Ohio a home priced at $200,000 is equally close to the mean.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The mean price for a 2,000sq foot home in FL is $240,000 with a Standard Deviation of $16,000. Home of $200,000.
This means that [tex]\mu = 240, \sigma = 16, X = 200[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{200 - 240}{16}[/tex]
[tex]Z = -2.5[/tex]
The z-score for a home priced at $200,000 in Florida is of -2.5.
The mean price of the same sized home in OH is $170,000 with a standard deviation of $12,000. Home of $200,000.
This means that [tex]\mu = 170, \sigma = 12, X = 200[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{200 - 170}{12}[/tex]
[tex]Z = 2.5[/tex]
The z-score for a home priced at $200,000 in Ohio is of 2.5.
Which state would a home priced at $200,000 be closer to the mean price, compared to the distribution of prices in the state?
The closeness to the mean is measured by the absolute z-score(disconsidering the signal, the lower the score, the closer to the mean). However, in this case, both z-scores have the same absolute value, so in both Florida and Ohio a home priced at $200,000 is equally close to the mean.
Anyone knows what the answer for this is I am really confused on it
Which of the following is the graph of f(x)=║x║translated 2 units right, 2 units up, and dilated by a factor of 1/3?
Answer:
c on edge2021
Step-by-step explanation:
What is the value of x in the equation 1/5x-2/3y = 30, when y = 15
Answer:
x=200
Step-by-step explanation:
(1/5)x-(2/3)y=30, y=15
(1/5)x-(2/3)*15=30
(1/5)x=40
x=200
Find the value of x?
Answer:
X=2.
Step-by-step explanation:
3 times 2 is equal to 6, and 4 times 2 is equal to 8, 6+8=14.
Trigonometry help please? I need the three answers
Answer:
Both triangles are triangle rectangles, but the triangles are not similar.
Step-by-step explanation:
By the Pythagorean's theorem, we know that for a triangle rectangle the sum of the squares of the cathetus is equal to the square of the hypotenuse.
Where the cathetus are always the two sides of smaller length.
We also know that two figures are similar if all the correspondent sides are proportional to each other, this means that the figures have the same shape but different size.
First, for triangle A the measures of the sides are:
48, 55, 73
Here the two catheti are 48 and 55, and the hypotenuse is 73.
Then to answer the first question we need to try to apply the Pythagorean's theorem, we should have:
48^2 + 55^2 = 73^2
solving that we get:
5,329 = 5,329
This is true, thus triangle A is a triangle rectangle.
Now for triangle B the measures are: 36, 77 and 85.
So the catheti are 36 and 77, and the hypotenuse is 85
So to check if triangle B is a triangle rectangle the equation:
36^2 + 77^2 = 85^2
must be true, solving both sides we get:
7,225 = 7,225
This is true, so triangle B is a triangle rectangle.
Finally, to check if the figures are similar we need to compare the correspondent sides of both triangles, such that the quotient of correspondent sides must be always the same.
For the hypotenuses, if we compute:
(hypotenuse B)/(Hypotenuse A) we get:
85/73 = 1.16
Now if we do the same for the two smaller catheti we get:
36/48 = 0.75
The quotients are different, thus the triangles are not similar.
A family is planning to sell their home. If they want to be left with $116,100 after paying 10% of the selling price to a realtor as a commission, for how much must they sell the house?
The selling price is $129000
What is selling price?The selling price of an item is the price at which it is sold.
Given that 10% of selling price is the commission.
So the family gets 90% of the selling price, which is given as $116,100.
i.e (90/100) * Selling Price = 116100
Therefore, the selling price is (116100*100)/90 = 129000.
Hence, the family sell the house for the price of $129,000
To learn more about selling price, use the link given below:
https://brainly.com/question/28017453
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25^2 6^3 find prime factorization
Answer:
With Exponents: 32 × 7 × 401
Without Exponents: 3 × 3 × 7 × 401
Step-by-step explanation:
Hello,
[tex]25^2*6^3\\\\=(5^2)^2*(2*3)^3\\\\=\boxed{2^3*3^3*5^4}\\[/tex]
Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A hamster weighs half a pound and costs $2 per week to feed, while a Labrador Retriever weighs 62.5 pounds and costs $10 per week to feed. Using weight as the explanatory variable, what is the slope of a line between these two points? Answer choices are rounded to the nearest hundredth.
a. $0.13 / Ib.
b. $4.00 / Ib
c. $6.25 / Ib.
d. $7.75 / Ib.
Answer:
a. $0.13 / Ib.
Step-by-step explanation:
Slope of a line:
Suppose we have two data-points in a line. The slope is given by the change in the output divided by the change in the output.
In this question:
Input: weight(in pounds)
Output: Weekly cost to feed.
A hamster weighs half a pound and costs $2 per week to feed, while a Labrador Retriever weighs 62.5 pounds and costs $10 per week to feed.
Inputs: 0.5, 62.5
Outputs: 2, 10
Change in the outputs: 10 - 2 = 8
Change in the inputs: 62.5 - 0.5 = 62
Slope: [tex]m = \frac{8}{62} = 0.13[/tex]
So the correct answer is given by option A.
Answer:
0.13
Step-by-step explanation:
Inscribe a circle in a unit square and to r= 1000 random.
a. Suppose that 760 of those darts land in the circle.
b. What would our estimate be if we let n â oo and we applied the same ratio strategy?
Step-by-step explanation:
area of square = 1
area of a circle in square = [tex]\pi r^2 = \pi *(1/2)^2 = \frac{\pi }{4}[/tex]
bu estimate [tex]p^ = X/n = 760/1000 = 0.76
Therefore,
[tex]\frac{\pi }{4} \approx 0.76[/tex]
[tex]\pi \approx 0.76*4 =3.04[/tex]
b) if n tend to infinity
[tex]\pi will approach 3.14[/tex]
Answer:
uvfhmfa
Step-by-step explanation:
Hall and Mindy are playing a guessing game. Hall tells Mindy: ""The difference between 17 and the square root of my mystery number is 5"". What are two possible numbers that Hall could be thinking of?
Answer:
The possible number that Hall could be thinking of is 144.
Step-by-step explanation:
Difference between 17 and the square root of my mystery number
This is represented by:
[tex]17 - \sqrt{x}[/tex]
is 5
Then:
[tex]17 - \sqrt{x} = 5[/tex]
What are two possible numbers that Hall could be thinking of?
We have to solve the equation, for x. So
[tex]17 - \sqrt{x} = 5[/tex]
[tex]\sqrt{x} = 12[/tex]
[tex](\sqrt{x})^2 = (12)^2[/tex]
[tex]x = 144[/tex]
The possible number that Hall could be thinking of is 144.
solve the paper with the correct answer
Answer:
I did question no 2 , 4 , 5 , 6
from question attempt any two questions i did 4 and 5.
Step-by-step explanation:
Hope this helps u !!
determin 16x - 4y + 2 = 0
Answer:
16inches is your answer
17. Omar has a piece of rope. He ties a knot in the rope and measures the new length of the rope.
He then repeats this process several times. Some of the data collected are listed in the table
below.
Number of Knots
Length of Rope
(cm)
4 5 6 7 8
64 58 52 46 40
State, the linear equation that gives the length, y, of the rope after tying x knots.
Answer:
Step-by-step explanation: If I is intial height (y=I-6x) because Height = intial height + numbrt of knots -6 becuase as shown in the table every knot takes away 6 cm.
The linear equation that represents the length of the rope (y) after tying 'x' knots is: y = f(x) = 88 - 6x
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, 'A' is a coefficient and 'B' is constant".
Here, the number of knots are x = 4, 5, 6, 7, 8.
The length of the rope remains after each knots y = 64, 58, 52, 46, 40.
After tying 5th knot, the length of the rope decreases
= (64 - 58) cm
= 6 cm
After tying 6th knot, the length of the rope decreases
= (58 - 52) cm
= 6 cm
After tying 7th knot, the length of the rope decreases
= (52 - 46) cm
= 6 cm
After tying 5th knot, the length of the rope decreases
= (46 - 40) cm
= 6 cm
Initial length of the rope was = (64 + 4 × 6) cm = 88 cm
With the increase in value of 'x' by 1, the value of 'y' decreases by 6.
Therefore, the required equation: y = f(x) = 88 - 6x
Learn more about a linear equation here: https://brainly.com/question/3269317
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A) work out the value of g.
Give your answer in standard form correct to three significant figures.
B) work out the new value of g. Give your answer in standard form correct to 3 significant figures. (M is increased by 8% and T is increased by 5%).
Answer:
4547.14
Step-by-step explanation:
m increased by %8 so it'll be
[tex]6.588 \times {10}^{ - 5} [/tex]
and t will be
[tex]1.785 \times {10}^{ - 6} [/tex]
so G =
[tex] \sqrt{ \frac{(6.588 \times {10}^{ - 5}) }{ {(1.785 \times {10}^{ - 6}) }^{2} } } [/tex]
G= 4547
How much is 12,856 ounces in pounds ?
Show number that 0.245 is Rational number
Answer:
A rational number is one that may be represented in the manner p/q.
245/1000 = 0.245
Step-by-step explanation:
8a+6ab+5b,-6a-ab-8b and - 4a+2ab+3b
Pls answer this question
Answer:
4 a+8 ab+8b
Step-by-step explanation:
8 a-4 a+6ab+2ab+5 b+3 b
4 a+8 ab+8b
If C(-2, 4) and D(-6, -1), then what is the length of CD? Round to the nearest tenth.
9514 1404 393
Answer:
6.4
Step-by-step explanation:
The length is found from the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((-6 -(-2))² +(-1-4)²) = √((-4)² +(-5)²) = √(16 +25) = √41
d ≈ 6.4
Answer:
6.4Step-by-step explanation:
hope it helps
#GAUTHMATHthe distance between Johannesburg and bloemfontein is estimated at 435km. if they travel at an average speed of 120km per hour,how long will it take them to travel from Johannesburg to bloemfontein? give answer in hours ,minutes and seconds
Answer:
3.625h,217.5min,13050sec
Step-by-step explanation:
S=vt
t=S/v
t=435/120 (km) /(km/h) =3.625h
t= 3.625*60 min = 217.5 min
t=217.5*60sec = 13050 sec
Answer:
t= 3.625 gio 217.5 phút = 13.050 giây
Step-by-step explanation:
s= vt
t=s/v
t= 435/120= 3.625 gio
t= 3.625*60=217.5 phút
t= 217.5*60 = 13.050 giây
Please answer part A and B.
Answer:
Percent who walk 45%
Percent in car 22.5%
Step-by-step explanation:
The total number of students is
36+26+18 = 80
Percent who walk is 36/80 = .45 =45%
Percent in car is 18/80 =.225= 22.5%