tan^(2)x-tanx=0
Pls Help
Answers
Answer:
[tex]x=\frac{3\pi }{4} ,\frac{7\pi }{4}[/tex]
If wrong then [tex]x=-\frac{\pi }{4}.[/tex]
Step-by-step explanation:
[tex]tan^2(x)-tan(x)=0[/tex]
Factor out the tan(x).
[tex]tan(x)*(tan(x)-1)=0[/tex]
Solve for x.
[tex]tan(x)\neq 0\\[/tex] thus only option is tan(x)-1=0
[tex]tan(x)-1=0\\tan(x)=1\\[/tex]
x=tan^-1(1)⇒
Either it is Quadrant 2 or 4.
[tex]x=\frac{3\pi }{4} ,\frac{7\pi }{4}[/tex]
If the teacher says its wrong. Then that could only mean that its range of tan(x) is between [tex]-\frac{\pi }{2} < x < \frac{\pi }{2}[/tex] thus it's only on quadrant 4. [tex]x=-\frac{\pi }{4}[/tex]
Related Questions
Solve using the elimination method -4x-2y=-18
Answers
Step-by-step explanation:
-4x – 2y= -18
Add 2y to both sides
-4x- 2y+ 2y = -18 + 2y
Simplify
-4x = -18 + 2y
Divide both sides by -4
-4x/-4= -18/-4+ 2y/-4
simplify
x= - -9+y/2
HELPPP PLS IM GIVING 60 POINTSSSSS IT'S EASYYYYYY 6TH GRADE MATHH
Answers
The surface area of rectangular prism B is 856 square centimeters
Prism B’s surface area is 4 times greater then prism A’s surface area
4) Louise stops at the gift store to buy a souvenir of the Statue of Liberty. THe original
height of the statue is 151 ft. If a scale factor of 1in = 20 ft is used to design the
souvenir, what is the height of the replica?
Pls I need help ASAP
Answers
To find the height of Replica,
we'll divide the original height by the given scale factor ⇢151/20 inches⇢7.55 inchesDialted scale factor=1in=20ft
So height of replica
151/207.557.6in"Place a number in each box so that each equation is true and each equation has at least one negative number."
Answers
Answer:
x=1, y=-1
Step-by-step explanation:
Given the equation:
where x and y are the blank boxes.
We want to find
A positive value of x
A negative value of y
That makes the equation true.
If x=1, y=-1
This can be confirmed using addition law of indices()
In general, any pair of a number and its negative value will satisfy the equality.
Step-by-step explanation:
HELPPP Pleaseeee
Last year, Dan opened an investment account with $6600. At the end of the year, the amount in the account had increased by 26.5%. How much is this increase
in dollars? How much money was in his account at the end of last year?
Answers
Answer:
1,749
8,349
Step-by-step explanation:
We can multiply 6,600 by 1.265 to get 8,349. To get the percentage all we have to do is multiply 6,600 by .265 and get 1,749.
Hope this helps
How do you know if a net will fold into a pyramid?
Answers
Step-by-step explanation:
A pyramid is made when 4 triangle meet on square then mate on each together .
Find the value of x.
Explain your answer.
Answers
Answer:
Step-by-step explanation:
The hypotenuse is 16 and the adjacent angle is x.
So using SohCahToh
O is opposite, H is the hypotenuse, and A is adjacent.
Soh: sin(theta)= O/H
Cah: cos(theta)= A/H
Toh: tan(theta)= O/A
Any side length that is next to degree 60° is adjacent so x is adjecent.
Using Cah.
cos(theta)= A/H
cos(60°)= x/16
x=16*cos(60°)
x=16*1/2
x=8
tan(x)+cot(x)= sec(x)*csc(x)
show me all of the steps, labeled. I would really appreciate it!
Answers
hence proved
hope it helps...!!!
Find the area of the shaded shape. Write the area in square units
Answers
x+3=y
what is y?
GIVING BRANLIEST
Answers
There can’t be an answer if you don’t have anything to plug in!
Answer:
There isn't a way to solve for y but I can give you this
Step-by-step explanation:
Slope=1
x-intercept is -3/1
y-intercept is 3/1
A bucket of water was 1/2 full, but it still had 3 and 3/5 gallons of water in it. How much water would be in one fully filled bucket?
Answers
Question:
A bucket of water was 1/2 full, but it still had 3 and 3/5 gallons of water in it. How much water would be in one fully filled bucket?
Answer:
7 1/5
Step-by-step explanation:
The bucket was halfway full. It still had 3 3/5 gallons in it. So all you'd have to do is multiply 3 3/5 by 2. Here is the actual work for proof:
3 3/5 × 2 =
18/5 × 2 =
18 × 2
5 × 1 =
36/5 = 7 1/5.
The equation y - 1 =-7(x-3) is written in point-slope form. What is the y-intercept of the line?
O -4
O-2
O 20
O 22
Answers
Next time I’d recommend also including x coordinates, it’s just easier if you have them
correct answer please!
Use the numbers from the item bank to write the value of each expression.
Photo down below!
Answers
Step-by-step explanation:
4347 ÷ 21 = 207
4715 ÷ 23 = 205
5200 ÷ 25 = 208
5356 ÷ 26 = 206
which compound inequality is equivalent to the absolute value inequality |b|>6?
Answers
The compound inequality equivalent to the absolute value inequality |b|>6 is b > 6, and b < -6
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the inequality:
|b| > 6
Hence:
b > 6 and -b > 6
b > 6, and b < -6
The compound inequality equivalent to the absolute value inequality |b|>6 is b > 6, and b < -6
Find out more on equation at: https://brainly.com/question/2972832
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Answer:
Answer is A
Step-by-step explanation:
Got it right on the quiz
The table shows the weights (in pounds) and the prescribed dosages (in milligrams) of medicine for six patients.
Weight (lb), x Dosage (mg), y
94 72
119 90
135 103
150 115
185 140
202 156
a. Find an equation of the line of best fit. Round the slope and the y -intercept to the nearest tenth, if necessary.
y=
Question 2
Identify the correlation coefficient. Round your answer to the nearest thousandths.
Question 3
Interpret the correlation coefficient.
0 / 10000 Word Limit
Question 4
b. Interpret the slope of the line of best fit.
Question 5
c. A patient who weighs 140 pounds is prescribed 135 milligrams of medicine. How does this affect the line of best fit? Explain.
Answers
(A) Using calculator, the equation of the line of best fit is y=0.77x-1.1y=0.77x−1.1 and correlation coefficient is 0.9990.999
The relationship is strongly positive as correlation coefficient is very close to +1.
Step 2
(B) The slope of best fit gives the change in dosage for a unit (lb) increase in weight of patient. We find that the dosage increases by about 0.77 mg for a unit increase in weight of patient.
Step 3
(C) Adding observation (140, 135)(140,135) to the data set. the regression line changes to y=6.12+0.75xy=6.12+0.75x. It increases the intercept but decreases slope.
But the correlation falls to 0.9340.934, weakening the relationship. This happens as the observation is an outlier.
Result
a. y=0.77x-1.1y=0.77x−1.1, strong positive relationship
b. represents change in dosage for a unit increase in weight
c. regression line changes to y=6.12+0.75xy=6.12+0.75x.
(A) The line of best fit's equation is y=0.77x-1.1y=0.77x1.1, and the correlation coefficient is 0.9990.999. The correlation coefficient is near +1, indicating that the link is positive.
What is the equation?The definition of an equation in algebra is a mathematical statement demonstrating the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Step 2
(B) The change in dosage for a unit (lb) increase in patient weight is indicated by the best-fit slope. We discover that for every unit increase in patient weight, the dosage rises by around 0.77 mg.
Step 3
(C) Including observation (140, 135) in the data set. y=6.12+0.75xy=6.12+0.75x is the new value of the regression line. Although the slope is reduced, the intercept is increased.
However, the link is weakened when the correlation drops to 0.9340.934. This occurs because the observation is an anomaly.
Result
a. Strong positive association, y=0.77x-1.1y=0.77x1.1
B. indicates a dose modification for a unit weight increase
C. y=6.12+0.75xy=6.12+0.75x is the new value of the regression line.
Therefore, y=0.77x-1.1y=0.77x1.1 is the equation for the line of best fit, and the correlation coefficient is 0.9990.999.
Learn more about the equation here:
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DE joins the midpoints of AB and AC. Find the value of x
and y.
Answers
Answer:
x = 6
y = 4
Step-by-step explanation:
2(4x + 1) = 11x - 16
8x + 2 = 11x - 16
8x + 2 + 16 = 11x - 16 + 16
8x + 18 = 11x
8x + 18 - 8x = 11x - 8x
18 = 3x
6 = x
5y + 4 = 8(y - 1)
5y + 4 = 8y - 8
5y + 4 + 8 = 8y - 8 + 8
5y + 12 = 8y
5y + 12 - 5y = 8y - 5y
12 = 3y
4 = y
Which distribution has the greatest spread?
A. Mean: 13.7 & Standard Deviation: 3.1
B. Mean: 423.6 & Standard Deviation: 1.3
C. Mean: 38.4 & Standard Deviation: 7.2
D. Mean: 231.4 & Standard Deviation: 5.5
Answers
Answer:
C. Distribution 3
Step-by-step explanation:
The more spread out a data distribution is, the greater its standard deviation.
solve only number 6
Answers
To find the tangent line of the graph:
⇒ must find:
point at which the tangent line touches the graphslope of the tangent lineLet's find the point at which the tangent line touches the graph:
At x = -1,
[tex]y = ((-1)^3+2)^5=(-1+2)^5=1^5=1[/tex]
Point: (-1,1)
Let's find the slope of the tangent line
⇒ get the derivation of function than plug (-1) in the x-position to get
the exact slope
[tex]\frac{d}{dx}(x^3+2)^5=5(x^3+2)^4*\frac{d}{dx}(x^3+2)=5(x^3+2)^4*3x^2\\ \\ 5((-1)^3)+2)^4*3(-1)^2=5(-1+2)^4*3*1=5*(1)^4*3=5*1*3=15[/tex]
Slope of tangent line: 15
Now put all the calculated value into the point-slope form:
[tex](y-y_{0})=m(x-x_{0} )[/tex]
[tex](x_{0} ,y_{0} )[/tex] --> point on the tangent linem --> tangent slope's valueSo:
[tex](y-1)=15(x+1)\\y - 1= 15x + 15\\y = 15x + 15 + 1\\y = 15x + 16[/tex]
Thus the tangent line's equation is y = 15x + 16
Answer: y = 15x + 16
Hope that helps!
When randomly choosing two coins from a cup of coins that contains a penny, nickel, a dime, and a quarter, what is the probability of choosing a penny and a nickel?
Answers
help please I realy nead help
Answers
Answer:
B) 77.5 square feet
Step-by-step explanation:
cut shape into rectangle and triangle
area of rectangle = x*y
area of rectangle = 5*13
area of rectangle = 65
area of triangle = (z-x)*(y-w)/2
area of triangle = 5*3/2
area of triangle = 7.5
Total area = 65 + 7.5
Total area = 77.5, B)
Answer:
77.5
Step-by-step explanation:
Cut the figure into a triangle and a rectangle
XxY=65
Z-x=5
Y-W=5
5x5=25
25/2=13.5
65+35.5=77.5
Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names "x" or "y" to describe the unknowns.
8 divided by the sum of 2 and a number
Answers
Answer:
8/x+2 or [tex]\frac{8}{2+x}[/tex]
Step-by-step explanation:
To answer, carefully read the question and pick up on key words like "sum." To begin, we know that "sum" means addition, therefore the sum of 2 and a number (which will be replaced by the variable x) is equivilent to 2 + x. Furthermore, we know that 8 is being divided by the sum. So, the final expression should be [tex]\frac{8}{2+x}[/tex] . Good luck!
A line has a slope of min Which ordered pairs could be
points on a parallel line? Select two options.
D (-8, 8) and (2, 2)
0 (-5, -1) and (0, 2)
(-3, 6) and (6, -9)
D (-2,1) and (3, -2)
D (0, 2) and (5, 5)
Answers
Answer:
-2,1 and 3,-2 also -5,-1 and 0,2
Step-by-step explanation:
Oil leaks from a tank. At hour t = 0 there are 360 gallons of oil in the tank. Each hour after that, 3% of the oil leaks out.
(a) What percent of the original 360 gallons has leaked out after 8 hours?
%
(b) if Q(t) = Q0e^kt the quantity of oil remaining after t hours, find the value of k.
k=
(c) What does k tell you about the leaking oil? Select all that apply if more than one statement is true
A. It tells what percent of oil remains after each hour.
B. It is the amount that the oil that leaks out each second.
C. Because it is less than one, we know the amount of oil in the tank is decreasing,
D. It tells by what percent of oil decays each hour.
E. Because it is negative, we know the amount of oil in the tank is decreasing.
F. It gives the continuous hourly rate at which oil is leaking.
G. None of the above
Answers
Find the value of x. Round to the nearest degree.
Answers
Answer:
x = 39°Step-by-step explanation:
The opposing side and the hypotenuse for the angle are given.
Remember, when the opposing side and the hypotenuse are given, take the cos ratio.
cosx = 7/9x = cos⁻¹ (7/9)x = 38.9424413°x = 39°solve for the value of k
pls help me asap
Answers
Answer:
k=13
Step-by-step explanation:
We know that
straight angle is equal to 180⁰
(4k-7)⁰+90⁰+(3k+6)⁰=180⁰
4k-7+3k+6=90
7k=91
k=13
I hope it helped you
Three companies offer swim lessons by the hour. Their information is shown in the tables below.
Which company has a signup fee of $11 and a cost per hour of $6
Answers
The answer is B because 6*2 = 12 + 11 = 23 !
Find the area and the circumference of a circle with radius .
Use the value for , and do not round your answers. Be sure to include the correct units in your answers.
Answers
Answer: 25.12
Step-by-step explanation:
Circumference = πd or 2πr
Since the radius is given (which is 4) we will use 2πr
2× 3.14×4=
8 × 3.14 =
25.12
the least common multiple of 9 and 6 is 54
Answers
Answer:
18
Step-by-step explanation:
The multiples of 9 are 9,18,27,36,45,54,63,...
The multiples of 6 are 6,12,18,24,30,36,42,...
What is the value of log5 125?
Answers
The log base value is three.
I need help with this please.
Answers
Answer:
1782 cm²
Step-by-step explanation:
the required surface area =1782
units= cm²