Answers
Step-by-step explanation:
[tex] \frac{ \tan(x) + \cot(x) }{ \cot(x) } [/tex]
[tex] \frac{ \tan(x) }{ \cot(x) } + 1[/tex]
[tex] \frac{ \frac{ \sin(x) }{ \cos(x) } }{ \frac{ \cos(x) }{ \sin(x) } } + 1[/tex]
[tex]{ \tan {}^{2} (x) } + 1[/tex]
[tex] = \sec {}^{2} (x) [/tex]
Related Questions
What is the difference?
StartFraction x Over x squared minus 2 x minus 15 EndFraction minus StartFraction 4 Over x squared + 2 x minus 35 EndFraction
Answers
Answer:
(x^2 + 3x - 12)/(x^3 + 5x^2 - 29x - 105)
Step-by-step explanation:
(x/(x^2 - 2x - 15) ) - (4/(x^2 + 2x - 35)) =
(x/((x-5)(x+3))) - (4/((x-5)(x+7))) =
((x * (x+7)) - (4 * (x+3)))/((x-5)(x+3)(x+7)) =
(x^2 + 7x - 4x - 12)/(x^3 + 5x^2 - 29x - 105) =
(x^2 + 3x - 12)/(x^3 + 5x^2 - 29x - 105)
Answer:
the Answer is D: x^2+3x-12/(x+3)(x-5)(x+7)
Step-by-step explanation:
Edge2020 ;D
If you divide -16 into 5 equal parts, how much is each part equal to?
Answers
Answer:
They each lost $1500, in total they earned $8,000 but with a deduction of $1500, the total is now $6500
Step-by-step explanation:
Jacob can take any one of three routes from school to the mall, and one of five possible routes from the mall to his
house. If he doesn't retrace his steps, how many different ways can Jacob walk from school to home?
O 7
O 8
O 10
O 15
Answers
Answer:
8
Step-by-step explanation:
Answer:
D, 15
Step-by-step explanation:
Find the value of n.
8 x n = 5 x 8
Answers
Answer:
n=5
Step-by-step explanation:
Solve and isolate n.
8 x n = 5 x 8
8 x n = 40 Divide out the 8
n=5
If angle 1 is not congruent to angle 2, which conclusion must be true?
Answers
HELP PLEASE,
On which of the following lines does the point (7,1) lie?
A. y - 5 x = 4
B. y = x - 10
C. y = -4 x + 3
D. y = -x + 8
Answers
Answer:
the answer would be A.
Step-by-step explanation:
hope this helps
What value of x makes this equation true? 12 x minus 15 = 6 minus 3 x
Answers
Answer:
Exact Form - 7/5
Decimal form - 1.4
Mixed Form 1 2/5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
[tex]12x - 15 = 6 - 3x[/tex]
Move all x values to one side of the equation, and all constant values to the other side of the equation, and don't forget to flip the signs when going from left to right or vice versa.
[tex]12 x + 3x = 6 + 15[/tex]
[tex]15x = 21[/tex]
[tex]x = \frac{21}{15} = \frac{7}{5} [/tex]
Velocity If a stone is dropped from a height of 350 feet, its height after t seconds is given by
s = 350 − 16t2.
Find its instantaneous velocity function.
v(t) =
Find its velocity at time t = 3.
v(3) =
Answers
See picture for math work and answer.
You buy an item for $12.50 with a 7% sales tax how much is the sales tax.
It’s number 4
I need the answer like nowwww
Answers
At the end of December, Justus and Eduardo both earned a one-time bonus at work, plus their hourly wages.
Justus’ earnings are modeled by the function J(x) = 38.25x + 50.00.
Eduardo’s earnings are modeled by the function E(x) = 30.20x + 52.00.
Justus and Eduardo worked the same number of hours.
If x represents hours worked, which function represents the total monthly earnings of Justus and Eduardo, M(x)?
Answers
By directly adding the two given linear equations, we will see that the function that represents the total monthly earnings is:
M(x) = 68.45*x + 102.00
How to get the total earnings of Justus and Eduardo?
We know that Justus' earnings are given by:
J(x) = 38.25x + 50.00.
While Eduardo's earnings are given by:
E(x) = 30.20x + 52.00.
The earnings of both together will be given by the direct sum of the two earnings above, so we have:
M(x) = E(x) + J(x) = 38.25x + 50.00 + 30.20x + 52.00
Now we can simplify this to get:
M(x) = (38.25 + 30.20)*x + 50.00 + 52.00
M(x) = 68.45*x + 102.00
This linear equation represents the total monthly earnings of Justus and Eduardo.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/1884491
Factor 48e + 180 using gcf
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The gcf is 12, so you'll divide 12 to both the 48 and the 180.
So it'll look like this...
[tex]12(4e+15)[/tex]
P.S. don't forget to the "e"
If you want to check if you're right just distribute the 12 and you should get 48e + 180 if you didn't you did something wrong.
HELP ME PLEASEEE ASAP
A diagonal brace strengthens the wire fence and prevents it from sagging.
The brace makes a 50 degree angle with the wire as shown. Find the value
of the variable.
Answers
Answer:
y° = 130°
Step-by-step explanation:
The angel adjacent to y° corresponds with the given measure of degree that the brace makes with the wire.
Thus, the measure of the angle adjacent to y° = 50° (Corresponding angles are congruent)
y° and the angle adjacent to y° form a linear pair on a straight line.
Therefore:
y° + 50° = 180° (linear pair)
subtract 50 from each side
y° + 50° - 50° = 180° - 50°
y° = 130°
barbara has $80 in a savings account that earns 5% interest per year. The interest is not compounded. How much will she have in total in 1 year?
Answers
Answer:
4$
Step-by-step explanation:
I = P*r*t
Interest = 80*0.05*1 = 0.8*5 = $4.00
Which of the following statements are true of a least - squares regression equation? *
Answers
Answer:
It has the same sign as the correlation coefficient r
Select the correct answer.
What is 75 equal to?.
A.7 x 5
B.5x5x5x5 x 5 x 5 x 5
C:7 x 7 x 7 x 7 x 7
D.5’7
Answers
1. Find the value for t that's makes the given equation true. 12=-t-11
2. Solve each equation for it's variable.
8(m-2)=3(m+3)
n-24/8=n
Pls help 40 points
Answers
Step-by-step explanation:
The given equation is 12x2+4kx+3=0
Here, a=12,b=4k,c=3
∴D=b2−4ac=(4k)2−4×12×3=16k2−144
The given equation will have real and equal roots, if
D=0⇒16k2−144=0⇒k2=9⇒k=±3
hope it helps
You start a new job. After w weeks, you have (10w+120) dollars in your savings account and (45w+25) dollars in your checking account. Write an expression in simplest form that represents the total in both accounts and how much money did you have before you started your job and how much money do you have save each week
Answers
Answer:
see below! :)
Step-by-step explanation:
total in both accounts: add both the expressions together
(10w+120) + (45w+25) = 55w+145
divide the expression by 55 to get it in simplest form.
w + 2.63
money i had before i started my job:
plug in 0 for w (0 weeks of having my job - means i just started my job and didn't receive my paycheck :c)
10(0) + 120 = 120 <- savings account
45(0) + 25 = 25 <- checking account
money i save each week:
compare when you plug in 1 for w and 2 for w into the "savings account" expression.
10(1) + 120 = 130
10(2) + 120 = 140
i save $10 a week (140-130 = 10)
hope this helped!! xoxoxo
Select all of the algebraic expressions that could represent the phrase below.
nine more than the product of 5 times the number of tires t
9 + 5t
5 ▪ t + 9
(9 + 5)t
(5 × t) + 9
5 + 9t
Answers
5t + 9
Step-by-step explanation:
"The product of five times the number of tires t" means that you need to multiply 5 and t. "Nine more" means you need to add 9 to the product of 5 and t.
Answer:
[tex]5 \: times \: the \: number \: of \: tires \: t \: = 5t. \\nine \: more \: than \: that \: is \: 9 + 5t.[/tex]
hence the statement is represented by the expression 9 + 5t.
A. Find the sum.
Pls help me
Answers
Answer:
1. is 1
2. is 0.722222222222
3. is 0.56666666666
4. is 0.791666666666
5. is 1.25
What is 13.023 rounded
Answers
Answer:
rounded to what tho? nearest tenth? nearest hundreth?
explanation: depends on which place value you are rounding to.
The cost of 4 baseball bats and 3 softball bats is $389. If the baseball bats
cost $10 less than the twice the hat, write an equation to model the
situation so that we can find the cost of the hat and the baseball bat.
Answers
Answer:
the price of a softball bat is 143 dollars, and the price of a baseball bat is 296 dollars.
Step-by-step explanation:
This is a problem that needs a set of equations because you are solving for two variables. The price of a baseball bat, and the price of a softball bat. To find the two equations in this sentence you take the context clues that are given to you. The first clue is that the cost of 4 baseball bats and 3 softball bats equals 389. Let's make b stand for the cost of a baseball bat, and s stand for the cost of a softball bat. The equation we can get from this piece of information is 4b +3s = 389 dollars. The second piece of information we get is that the baseball bats cost ten dollars less than twice the softball bat price. This is another equation that is b-10 = 2s.
Now that we have both of the hidden equations, we can solve them to find the cost of baseball bats, and softball bats.
First step is to solve one of the equations to get either one of the variables by themselves. I chose the second one, because it takes less steps. b-10 = 2s. If you add ten to both sides you get the variable b by itself in the equation: b = 2s - 10. Now we go back to the first equation, and substitute in 2s - 10 wherever there is a b. This makes equation one look like this: 4(2s - 10) +3s = 389. Now it is a solvable equation. First you distribute the 4 to (2s - 10) you get 8s - 40 +3s = 389. Then you can add 8s and 3s together since they are the same variable. 11s - 40 = 389. Next, add the 40 to both sides to cancel it out, and you get that 3s = 429. Finally, divide both sides by 3 to get what s equals. s = 143.
Now that we have the value of s, we can go back to the first equation and plug that value in to solve for b. This makes the first equation: b - 10 = 2(143).
Multiply the 2 and 143 first. Then, your equation looks like: b - 10 = 286. Finally, add the 10 to both sides to cancel it out and you get that b = 296.
Putting this back into context: the price of a softball bat is 143 dollars, and the price of a baseball bat is 296 dollars.
PLEASE HELP IN ALGEBRA
Explain how natural logarithm is applied in real life. Please make sure to give at least two examples
Answers
Sound, earthquakes, the brightness of stars, and chemistry, such as pH balance, a measure of acidity and alkalinity, are all instances of this.
clau boundary
Example
The time token rol
as students to hovo
to the neerest minute are owen
their
lunch
table below
in the
3-4
5-9
21
Time minute
110-19
20-29 30-34
Number of studbal
7 16
e) Calculate the mean time
have lunch
the students
for
6) Draw a hutoorom 101
the given data
i Use your histogram to estimate the modal
time for
the students to have lunch.
c) Find the model time.
Answers
answer is c
Step-by-step explanation:
because I don't know
Answer:
I am back in my own country
Steve is driving 440 miles to visit the Grand Canyon. He drives at an average rate of 55 miles per hour. Explain how you can find the amount of time it will take Steve to get to the Grand Canyon.
Help-
Answers
Answer:
8 hours
Step-by-step explanation:
Distance d = 440 miles
Average rate v = 55 miles/hour
Distance = rate x time
440 = 55 x time
time = 440/55 = 8 hours
Ophthalmology students compared two types of detached retina surgery to determine if patients were able to regain vision. They studied laser surgery and freezing treatment. Identify the response and explanatory variables.
Answers
Answer:
- Response variable: The amount of vision the patients obtained after surgery.
- Explanatory variable: The type of detached retina surgery carried out.
Step-by-step explanation:
Response variable is the main focus of a question when carrying out a study or experiment. Whereas, an explanatory variable is the variable one that explains the changes in the response variable.
Now, in the question we are given it is clear that the main focus of the study is to determine if patients were able to regain vision.
Thus, the response variable is; the amount of vision the patients obtained after surgery.
Now, what determines if patients were able to regain vision is hinged on the 2 retina surgeries which are: laser surgery and freezing treatment.
Thus, the explanatory variable is; The type of detached retina surgery.
Here are the endpoints of the segments AB, CD, and EF.
A(7,4), B (2,8)
C(5,0), D (1, -5)
E (-3,5), F (-8, 1)
Answers
Answer:
this is not a question
Step-by-step explanation:
sin7x - sin3x
cos 7x - cos3x
Answers
Answer:
= -cot5x
Step-by-step explanation:
sin7x - sin3x = sin(5x + 2x) - sin(5x - 2x)
= [sin5x cos2x + cos5x sin2x] - [sin5x cos2x - cos5x sin2x]
= 2 cos5x sin2x
cos7x - cos3x = cos(5x + 2x) - cos(5x - 2x)
= [cos5x cos2x - sin5x sin2x ] - [cos5x cos2x + sin5x sin2x]
= -2 sin5x sin2x
so
(sin7x - sin3x)/(cos7x - cos3x)
= -cos5x/sin5x = -cot5x
8mg : 2.5mL= 4mg : x
Answers
What is 155% of 50?
a. 83
b. 77.5
c. 72
d. 93
Answers
the answer is B hope this helps
Answer:
[tex]=77.5[/tex]
Step-by-step explanation:
[tex]\mathrm{Convert\:}155\%\mathrm{\:into\:a\:decimal\:and\:multiply\:by\:}50[/tex]
[tex]Percent-\mathrm{A\:ratio\:expressed\:as\:a\:fraction\:out\:of\:a\:hundred.}[/tex]
[tex]=155\%\:[/tex]
In order to covert a percent to a ratio, divide it by 100: a% =[tex]\frac{a}{100}[/tex]
[tex]a=155[/tex]
[tex]155\%\:=\frac{155}{100}[/tex]
[tex]\mathrm{Convert\:to\:decimal\:form}[/tex]
[tex]=1.55[/tex]
[tex]\mathrm{Multiply\:}1.55\mathrm{\:by\:}50[/tex]
[tex]=1.55\cdot \:50[/tex]
[tex]\mathrm{Simplify}\:1.55\cdot \:50[/tex]
[tex]=77.5[/tex]
The histogram shows the scores of students on their most recent history test. How many students scored 80% or better on the test?
Answers
Answer:
i cant see it clearly to give you a propper answer