Answer:
True.
Step-by-step explanation:
given equation: (tan x - 1)/(tan x + 1) = (1 - cot x)/(1 + cot x)
1. manipulate the right side by using trigonometric identities
(tan(x) - 1)/(tan(x) + 1) = (-cos(x) + sin(x))/(cos(x) + sin(x))
2. manipulate the right side by using trigonometric identities
(-cos(x) + sin(x))/(cos(x) + sin(x)) = (-cos(x) + sin(x))/(cos(x) + sin(x))
Both sides of the equation are now equal -> (tan x - 1)/(tan x + 1) = (1 - cot x)/(1 + cot x) is true.
Explain the error in the solution below. What
additional step needs to be completed?
log x - log5^3 = 2log5^3
log x = 3log5 ^3
log x = log5 3^3.
x = 27
Answer:
x = 1953125
Step-by-step explanation:
log x - log 5^3 = 2 log 5^3
log x - 3 log 5 = 6 log 5
log x = 9 log 5 = log 5^9
x = 5^9
x = 1953125
This is the equation: f(x)=x^2
e) Is f(x) symmetric? If so, what is the equation of the line of symmetry?
f) Does f(x) have a maximum or minimum? If so, at what point?
g) What are the x-intercept(s) of f(x)?
Answer:
e) yes, symmetric around the y-axis
f) minimum at (0,0)
g) x-intercept at 0
Step-by-step explanation:
Select the expression that is equivalent to (m2-16)
A
(m-4)2
B
(m+4)(m-4)
C
(m2+8m+16)
D
(m2-8m+16)
Jamar to the local snack shop near his school He bought 3 hotdogs and 2 bags of chips for $Kenny went to the same snack shop and bought 5 hotdogs and 6 bags of chips for $9.55 ordered 2 hotdogs and 3 bags of chips, then how much did she pay her order?
Answer:
Marcy paid $4.15
Step-by-step explanation:
Given
Represent hotdogs with x and chips with y.
So, we have:
Jamal
[tex]3x + 2y = 4.85[/tex]
Kenny
[tex]5x + 6y = 9.55[/tex]
See attachment for complete question
Required
Determine the amount for 2x and 3y
From Jamal's and Kenny's orders we have:
[tex]3x + 2y = 4.85[/tex] --- (1)
[tex]5x + 6y = 9.55[/tex] --- (2)
Multiply (1) by 3
[tex]3 * [3x + 2y = 4.85][/tex]
[tex]9x + 6y = 14.55[/tex] --- (3)
Subtract (2) and (3)
[tex]9x - 5x + 6y - 6y = 14.55 - 9.55[/tex]
[tex]9x - 5x = 5[/tex]
[tex]4x = 5[/tex]
Solve for x
[tex]x = \frac{5}{4}[/tex]
[tex]x = 1.25[/tex]
Substitute [tex]x = 1.25[/tex] in [tex]3x + 2y = 4.85[/tex]
[tex]3 * 1.25 + 2y = 4.85[/tex]
[tex]3.75 + 2y = 4.85[/tex]
Solve for y
[tex]y = \frac{4.85 - 3.75}{2}[/tex]
[tex]y = \frac{1.10}{2}[/tex]
[tex]y = 0.55[/tex]
So, the cost of 2x and 3y is:
[tex]Cost = 2x + 3y[/tex]
[tex]Cost = 2*1.25 + 3*0.55[/tex]
[tex]Cost = \$4.15[/tex]
please help i’ll give brainliest
Answer:
A insects and plants
Step-by-step explanation:
the decaying things are used as fertilizer for plants to grow and insects to eat
My Samsung charger broke so I went to Five Below to get a new one. They were on sale for $15,35 (not so five below). There
was a 6% tax too. How much did the new charger cost?
Answer:
It would be in thE 20.75
Step-by-step explanation:
Just keep adding change by 9 6 times
Evaluate.Evaluate.
8−2⋅3+7
Step-by-step explanation:
6×10
=60
niceeeeeeeeeeee
Find the total surface area of the rectangular prism
Answer:
124
Step-by-step explanation:
To find the surface area, we add the area from all faces or the prism.
the first face, we can put 8 times 2.5, which is 20. There are two of these faces, so we have 40 in our area so far.
next the other face. 4 times 2.5 is 10, and there are two of these faces. 60 in out area.
now the top and bottom faces. 8 times 4 is 32. there are two of these faces, and 60 +64 = 124
PLEASE HELP ASAP!!! WILL MAKE BRAINLIEST!
Answer: Figure B is 2x bigger on all sides
Explanation: You can see that each of the numbers times 2 would equal all of the numbers on B.
Write an equation of the line perpendicular to the given line that contains P.
Step-by-step explanation:
As the required line is perpendicular to y = (1/2)x + 5, product of slope of y = (1/2)x + 5 and required line should be - 1.
=> (1/2)m = - 1
=> m = - 2
Thus, required line is
=> y - (-8) = (-2)(x - 3)
=> y + 8 = -2(x - 3)
MATH PLEASE HELP!! HELP BADLY NEEDED....
write the answer in the simplest radical form
[tex] \sqrt{56} [/tex]
Which of the following describes the root of the following function? f[x] = -x2 3x + 1 Select one a. Exactly 1 rational root. b. 2 distinct rational roots. c. 2 distinct irrational roots. d. 2 distinct imaginary roots.
Answer:
please stop being lazy by using OCR! next time type the question!
there's nothing such as = -x2 3x + 1
it's probablhy f(x) = -x² + 3x + 1
Answer:
2 distinct irrational roots
Step-by-step explanation:
It takes me into 30 minutes to walk from home to school when walking at 5 km per hour What is her average cycling speed If it takes her 15 minutes by bike to travel the same distance
Answer:
10 km/h
Step-by-step explanation:
I'm not really sure about this but no ones answering your question and I wanna help.
So basically to calculate the average speed you need to divide the distance travelled by time taken
But you do not have the distance traveled. But it is mentioned that it takes u 30 minutes to walk from home to school when walking at 5 km/h so to find the distance all you have to do is... 30 x 5 = 150 km
Now that we have the time and distance all we have to do is find the average speed.
Average Speed = distance ÷ time
So 150 ÷ 15 = 10 km/h
answer this please
don't send a link
Answer:
Supplementary angles
Step-by-step explanation:
AEB and BEC form a straight line.
They add to 180 degrees
AEB+ BEC
150+30
180
That means that they are supplementary angles
Answer: https://www.wattpad.com/story/73852998-feathers-itachi-uchiha-deidara-x-reader-lemon
Step-by-step explanation:
The perimeter of a square is 28 cm. Find its area and the length of its diagonal.
help me
Step-by-step explanation:
area: 28/4=7
7x7=49
diagonal=square root 7²+7²
9.89949
9.90
hope it can help you
The quotient of a number more than 1 and 3 is 5
Answer:
https://brainly.com/question/13518166
Step-by-step explanation:
Find the total area.
Answer:
area = 164.52 cm²
Step-by-step explanation:
area = (12x6) + (12x3x0.5x2) + (3.14)(0.5)(6²) = 164.52 cm²
HELP PLS ITS ALMOST DUE PLS PLS PLS
Answer:
19. B
20. C
Step-by-step explanation:
Help ASAP please!!!!!
51in
Step-by-step explanation:
15x5=75
8x3=24
75-25=51
Answer:
hi
Step-by-step explanation:
the area of the little rectangle:
3 in × 8 in= 24 in
tge area of the shaded ragion:
5in × 15in =75in
75in - 24 in=51 in
hope it helps
have a nice day
If vector v = ( 9 ) find -v and 3v
-6
Consider the graph of the function f(x)=logx.
Match each transformation of function f with a feature of the transformed function.
Transformation of function f with a feature of the transformed function.
g(x)=-f(x-3) is vertical asymptote of x=3j(x)= f(x+3) is x-intercept of (-2,0)h(x)=3f(x)-3 is domain of (0, ∞)What is asymptote?An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique
Given function is : f(x)= log x
g(x)= -f(x+3)= - log(x+3)g(x)=-f(x-3) is vertical asymptote of x=3
j(x)= f(x+3) = log (x+3) thenj(x)= f(x+3) is x-intercept of (-2,0)
Domain: As (0,∞),{x | x>0}h(x)=3f(x)-3 is domain of (0, ∞)
Learn more about asymptote here:
https://brainly.com/question/4084552
#SPJ2
Answer:
Step-by-step explanation:
A right cylinder has a radius of 5 and a height of 9. What is its surface area? A. 457 units2 B. 1407 units2 C. 907 units? D. 700 units2
Answer: B
The surface area of the right cylinder is 140π cubic units or 439.60 cubic units.
Step-by-step explanation:
We have formula to find the surface area of a right cylinder.
Surface area = 2πr(h + r)
Given: r = 5 and h = 9,
Now plug in the value of r and h in the above formula, we get
Surface area = 2π.5 (9 + 5)
= 10π(14)
Surface area = 140π
The value of π = 3.14, when we plug in the value of π, we get
The surface area = 140 × 3.14
= 439.60 cubic units.
Therefore, the surface area of the right cylinder is 140π cubic units or 439.60 cubic units.
Hope this helped!!!
pls help it due soon
Answers:
Level 1 Q:
[tex]5x+4x=90\\9x=90\\x=10[/tex]
Level 2 Q:
[tex]48+2x=90\\2x=42\\x=21[/tex]
Level 3 Q:
[tex]25+(x-18)=90\\x=83[/tex]
Tell whether the angle measures can be those of a triangle.
20°, 160°, 20°
Yes, can be those of a triangle.
No, cannot be those of a triangle.
No.
The 3 angles of a triangle need to equal 180 degrees.
The sum of the 3 given angles is greater than 180 ( 160 + 20 + 20 = 200) so it cannot form a triangle.
Write a rule for the nth term of the geometric sequence:
a3=54, a6=1458
Answer:
tn = -1350 + 468n
Step-by-step explanation:
First, we need to find the difference.
1458 - 54 / 6 - 3
= 468
Now we need to find the first term.
t3 = t1 + (n - 1) (d)
54 = t1 + (3 - 1)(468)
54 = t1 + (2)(468)
54 = t1 + 936
-882 = t1
The rule is:
tn = -882 + (n-1) (468)
tn = -882 + 468n - 468
tn = -1350 + 468n
2/5 of 16 simplify if you can thank you
Answer:
6 and 2/5
Step-by-step explanation:
Answer:
Decimal form: 6.4
Fraction form: 32/5
Step-by-step explanation:
of = times
2/5 x 16 = 6.4
Convert 5.7×108 to its expanded form. sorry guys im not good with math so i need halp ^_^
The answer is 615.6.If you have more problems like this go to math-way calculator
15. JAGUARUNDI A jaguarundi springs from a fence post to swat at a low flying bird.
Her height h in feet can be modeled by the equation h = -161? + 22.31 + 2,
where t is time in seconds. Use the discriminant to determine if the jaguarundi
will reach the bird if the bird is flying at a height of 10 feet. Explain.
Answer:
The discriminant, -14.71 < 0, shows that there is no solution of the equation, h = -16·t² + 22.3·t + 2, at the line 'h = 10' feet, therefore, the Jaguarundi height as she springs will not be up to 10 feet and therefore she will not reach the bird
Step-by-step explanation:
From the question, the equation that models the Jaguarundi's height, 'h', ma be written approximately as follows;
h = -16·t² + 22.3·t + 2
Where;
t = The time (duration) in seconds
The discriminant of the equation a·x² + b·x + c = 0 is b² - 4·a·c
When h = 10, we have;
10 = -16·t² + 22.3·t + 2
∴ 0 = -16·t² + 22.3·t + 2 - 10 = -16·t² + 22.3·t - 8
The discriminant of the given quadratic equation is given as follows;
The discriminant = 22.3² - 4 × (-16 × (-8)) = -14.71 < 0
Therefore, the function, h = -16·t² + 22.3·t + 2 has no real root at h = 10
The parabola does not reach or pass through the line h = 10 which is the height at which the bird is flying.
The Jaguarundi will not reach the bird flying at the height of 10 feet.
Answer:
No, the Jaguarundi will not reach the bird
Step-by-step explanation:
The equation is
[tex]h=-16t^2+22.3t+2[/tex]
When h = 10 feet
[tex]10=-16t^2+22.3t+2[/tex]
[tex]\Rightarrow -16t^2+22.3t-8=0[/tex]
[tex]a=-16[/tex]
[tex]b=22.3[/tex]
[tex]c=-8[/tex]
Discriminant is given by
[tex]b^2-4ac=22.3^2-4(-16)(-8)[/tex]
[tex]\Rightarrow b^2-4ac=-14.71[/tex]
[tex]\Rightarrow b^2-4ac<0[/tex]
So, the Jaguanrundi will not reach the bird as the roots will be imaginary.
HELP ME PLEASE https://brainly.com/question/22734415
I’m gonnna fail :(