I need help with this practice I’m struggling to solve itIt asks *Verify the identity*(I will send you an additional photo with the answer options for the boxes)
Answers
Answer:
\(\sin x(1+\tan ^2x)\)\(\sin x\sec ^2x\)\(\sin x\cdot\frac{1}{\cos^2x}\)\(\frac{\sin x}{\cos x}\cdot\frac{1}{\cos x}\)Explanation:
Given the below;
\(\sin x+\sin x\tan ^2x=\tan x\sec x\)We'll go ahead and manipulate the left-hand side of the equation following the below steps;
Step 1: Factor out sinx;
\(\sin x(1+\tan ^2x)=\tan x\sec x\)Step 2:
Recall the below trig identity;
\(\sec ^2x=1+\tan ^2x\)Substituting the above, we'll have;
\(\sin x\sec ^2x=\tan x\sec x\)Step 3:
Recall that;
\(\begin{gathered} \sec x=\frac{1}{\cos x} \\ \sec ^2x=\frac{1}{\cos ^2x} \end{gathered}\)So we'll have;
\(\sin x\cdot\frac{1}{\cos^2x}=\tan x\sec x\)Step 4:
We can further simplify as seen below;
\(\begin{gathered} \sin x\cdot\frac{1}{\cos x\cdot\cos x}=\tan x\sec x \\ \frac{\sin x}{\cos x}\cdot\frac{1}{\cos x}=\tan x\sec x \end{gathered}\)Step 5:
Recall that;
\(\begin{gathered} \tan x=\frac{\sin x}{\cos x} \\ \sec x=\frac{1}{\cos x} \end{gathered}\)So we can rewrite our equation as;
\(\tan x\sec x=\tan x\sec x\)Related Questions
whoever answers first gets brainliest if i can im desperate??
Answers
Answer:
33/209
Step-by-step explanation:
11*19=209 . 3(11)=33 . 33/209
Given parameters:
Length of the rectangle = \(\frac{11}{19}\) mile
Width of the rectangle = \(\frac{3}{11}\) mile
Unknown:
Area of the rectangle = ?
Solution:
The area of a rectangle is
Area of rectangle = length x width
= \(\frac{11}{19}\) x \(\frac{3}{11}\)
= \(\frac{3}{19}\)mile²
The area (in square feet) of the school sign can be represented by
15x^2+x-215x2+x−2
Write an expression that represents the length of the sign.
Answers
Answer:
5x^2+2x-432
Step-by-step explanation:
15x^2+x-215×2+x−2
=15x^2+x-430+x−2
=15x^2+x+x-430-2
=15x^2+2x-432
The expression that represents the length of the sign is 5x - 2 feet.
What is Area of Rectangle?The area of Rectangle is length times of width.
The area of a rectangle is given by the formula A = length × width.
A = L × W
The given expression, 15x^2 - x - 2, represents the area of the sign in square feet. So we can substitute this expression for A and solve for L:
A = L × W
15x² - x - 2 = L × (3x + 1)
L = (15x² - x - 2) / (3x + 1)
If the height of the sign is (3x+1) feet, then the length of the sign is given by the area divided by the height:
L = (15x² - x - 2) / (3x + 1)
Substituting (3x+1) for the height, we get:
L = (15x² - x - 2) / (3x + 1) = [(3x + 1) (5x - 2)] / (3x + 1) = 5x - 2
Therefore, the expression that represents the length of the sign is 5x - 2 feet.
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The area (in square feet) of the school sign can be represented by 15x2 − x − 2. a. Write an expression that represents the length of the sign. If the height of the sign is (3x+1) ft.
Can someone please help
Answers
dana has already taken 3 pages of notes on her own, and she will take 2 pages durning each hour of class. write an equation that shows the relationship between the time in class h amd the number of pages p.
write your answer as an equation with p first, followed by an equals sign
Answers
Answer:
p = 2×h + 3
Step-by-step explanation:
for every hour in class she writes 2 pages.
so, the total number of pages written is 2 times the number of hours in class.
and she had already a starting "offset", a head start if you will, of 3 pages.
so, even if she spends 0 hours in class, she has these 3 pages no matter what.
hence the "+ 3" part.
Math Questions........
Answers
45+?=97
97-45=52
-Check-
45+52=97
#49 graph in desmos and label points of inflection, critical points, local extremes, absolute extremes, asymptotes, etc
Answers
Kindly check below.
1) Let's plot that polynomial and identify the inflection, critical points, extreme points, and further information as requested.
2) We can plot that and label these points below.
Note on the graph, that the inflection point defines the point where the graph starts to change its concavity. We can see the Maximum and the minimum point between them.
In addition to this, there are no asymptotes for functions like these.
\(\begin{gathered} Inflection\:point\:at:(2,-\frac{40}{3}) \\ \\ Maximum\:at:\:(-1,\:\frac{14}{3}) \\ \\ Minimum\:at:\:(5,-\frac{94}{3}) \\ \\ x=-1,x=5\:Critical\:Points \end{gathered}\)3) Thus, this is the answer.
The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answers
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
MATH QUESTION HELP PLS!
Stephen predicted that he would sell 50 cakes at his school bake sale. However, only 45 were sold. What was Stephen's percent error?
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Enter the number that belongs in the green box
Answers
Check the picture below.
\(\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=\cos(C)\implies \cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] ~\dotfill\\\\ \cos^{-1}\left(\cfrac{10^2+4^2-7^2}{2(10)(4)}\right)=\measuredangle A \implies \cos^{-1}\left(\cfrac{ 67 }{ 80 }\right)=\measuredangle A \\\\\\ \cos^{-1}(0.8375) = \measuredangle A \implies 33.12^o \approx \measuredangle A\)
Make sure your calculator is in Degree mode.
Select the correct answer.
What is this expression in simplest form?
1/2x^2-4x - 2/x
A. 4x-7/2x(x-2)
B. -4x+9/2x(x-2)
C. -1/2x(x-2)
D. -3x-8/2x(x-2)
Answers
Answer:a A. 4x-7/2x(x-2)
got it right on the test
Step-by-step explanation:
Identify the number of solutions of the system of linear equations.
x=y+3z=6
x-2y = 5
2x - 2y + 5z = 9
no solution
exactly one solution
infinitely many solutions
Solve the system. If there are infinitely many solutions, write the ordered triple in terms of z. If there is no solution, lea
The solution is (x, y, z)
-1.2
3
Answers
The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.
Let's solve the system of linear equations correctly.
The given system of linear equations is:
x = y + 3z = 6
x - 2y = 5
2x - 2y + 5z = 9
To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:
From equation 1, we have:
x = y + 3z
Substituting this value of x in equation 2:
(y + 3z) - 2y = 5
y + 3z - 2y = 5
-z + 3z = 5 - y
2z = 5 - y
Now, let's substitute the value of x in equation 3:
2(y + 3z) - 2y + 5z = 9
2y + 6z - 2y + 5z = 9
11z = 9
Simplifying the equation, we find:
z = 9/11
Now, substituting this value of z back into the equation 2z = 5 - y, we get:
2(9/11) = 5 - y
18/11 = 5 - y
18/11 - 5 = -y
18/11 - 55/11 = -y
-37/11 = -y
y = 37/11
Finally, we can substitute the values of y and z into equation 1 to find the value of x:
x = y + 3z
x = 37/11 + 3(9/11)
x = 37/11 + 27/11
x = 64/11
Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).
The system has exactly one solution.
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True or False: Rosa has a beginning balance of $4,750 in her Checking account. After
depositing a paycheck (p), she then writes 3 checks (c), withdraw money from an ATM (a),
then gets refunded some money (r). Write an Algebraic Expression that models the
situation.
Is this the correct expression?
$4,750 + p - 3c - a +r
Answers
Answer:
true
Step-by-step explanation:
What is the measure of ZRCP in the figure below?
P
11
D
350
11
R
A. 35°
B. 55°
C. 11°
D. 60°
E. 70°
F. Cannot be determined
Answers
Step-by-step explanation:
the answer is 35 if he want the degree of c in RCD trangle
and if you want the RCD and The PCD deegrees total its 70
Sam is climbing 9000 m every 30 minutes. How many meters will he climb in 1 hour
Answers
Answer:
18000 m
Step-by-step explanation:
Hey there!
In order to solve this problem, we need to first know how many minutes are in an hour
As you know, there are 60 minutes in an hour so this means in 1 hour, he will climb 9000 meters two times
So 9000 two times is 18000,
Meaning, in 1 hour, Sam will climb 18000 m
Answer:
18,000m in an hour
Step-by-step explanation:
We know this because if its 9000 m in 30 minutes, we can do 9000 x 2 and get 18,000m for an hour.
Super is a ride-sharing company. The Chief of Operations wants the revenue (output value) to be seven times the cost of service operations (input cost). Suppose that each regular car earns a value of $1500 per month and premium cars earn $2500 per unit per month. The monthly cost of operating a regular car is $100 per month and $500 per premium car. Super currently has 19 regular cars. How many premium cars do they need to achieve a productivity ratio of 7? (Enter your response rounded to whole number.)
Answers
Super would need 2 premium cars to achieve a productivity ratio of 7.
How to find the productivity ratio?Let's call the number of premium cars "x".
The total revenue from the regular cars would be $1500 * 19 = $28,500 per month.
The total revenue from the premium cars would be $2500 * x.
The total cost of the regular cars would be $100 * 19 = $1900 per month.
The total cost of the premium cars would be $500 * x.
The Chief of Operations wants the revenue to be 7 times the cost of service operations, so we can write the following equation:
($28,500 + $2500x) / ($1900 + $500x) = 7
Expanding and simplifying the equation, we get:
$2500x + $28,500 = 7($1900 + $500x)
$2500x + $28,500 = $13,300 + 7$500x
$11,200 = 6$500x
$11,200 / $6,500 = x
x = 1.723
Rounding up, Super would need 2 premium cars to achieve a productivity ratio of 7.
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Mia’s gross income is 50,000 per year how much long term disability insurance should she purchase
Answers
Mia's gross income is $50,000 per year. The long-term disability insurance she should purchase is $32,500.
Now,
When it comes to individuals, gross income refers to the sum of all wages, profits, salaries, interest payments, rents, and other forms of earnings, this is before any deductions or taxes that are incurred on them.
It is different from the net- income.
Long-term disability insurance is a term used for an insurance policy which tends to protect an employee from loss of income when he or she is unable to work that may be due to illness, injury, or accident for a long period of time.
Thus,
Without this insurance they will be devastated financially.
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You and your family go to dinner at a local restaurant in Rexburg, Idaho and your online banking report shows that the total dinner bill (food, tax, and tip) was for $42. Suppose that you did not keep your receipt, but you remember you paid a 20% tip for the service.
What was your bill (food and tax) prior to calculating the tip? (tip was paid on the total of food and tax)
$
Number
(Round your answer to the nearest cent.)
Answers
bill (food and tax) = total bill (food, tax, and tip) / 1.2
We know that the total bill was $42 and the tip was 20%, so we can substitute those values into the equation:
bill (food and tax) = 42 / 1.2
To solve for bill (food and tax), we divide 42 by 1.2:
bill (food and tax) = $35
So the bill (food and tax) prior to calculating the tip was $35.
A rectangle prism has three dimension
Answers
Answer:
yes but what is your question?
Step-by-step explanation:
Answer:
A rectangular prism is a three-dimensional solid with several properties relating to its shape, volume and surface area.
Hope is that the answer u were looking for :)
Asha ran a race in 20.7 seconds. Katie ran the same race 0.25 seconds faster. how fast did Katie run the race?
Answers
Hey there!
\(Answer:\boxed{20.95}\)
\(Explanation:\)
To find the answer, we can add up the time from both people.
\(20.7(20.70)+0.25=20.95\)
\(\boxed{20.95}\text{ is your answer.}\)
Hope this helps!
\(\text{-TestedHyperr}\)
A bank wants to estimate the difference in the proportion of its "big" customers who have a second account with a different bank and the proportion of its "small" customers who also have an account with another bank. Of the 200 “big” customers who were randomly selected, 160 claimed to also bank with other banks. Of the 300 “small” customers who were randomly selected, 120 claimed to also bank with other banks.
Based on the 99% confidence interval (0.297, 0.503), is there convincing evidence of a difference in the proportion of “big” bank customers who bank with more than one bank as compared with the “small” customers who bank with more than one bank?
Because
contained in the interval, there is
to believe there
a difference in the proportion of “big” bank customers who bank with more than one bank as compared to the “small” customers who bank with more than one bank.
Answers
Yes, based on the 99% confidence interval (0.297, 0.503), there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.
The confidence interval (0.297, 0.503) represents the range of values within which the true difference in proportions between the two customer groups is likely to fall with 99% confidence. Since the interval does not include zero (0), we can conclude that there is a statistically significant difference between the proportions.
To further explain, the confidence interval was constructed using the sample proportions and the standard error. The sample proportion for the "big" customers who bank with other banks is 160/200 = 0.8, and for the "small" customers, it is 120/300 = 0.4. The standard error takes into account the sample sizes and proportions, and it measures the uncertainty in the estimation.
Since the confidence interval does not include zero, it indicates that the true difference in proportions is unlikely to be zero. In other words, there is strong evidence that the proportion of "big" bank customers who bank with more than one bank is higher than the proportion of "small" customers who do the same.
Therefore, based on the provided data and the confidence interval, we can conclude that there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.
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Out of 20 people how many would you expect to say that they like all seasons
Answers
Answer:
None
Step-by-step explanation:
Truly, I'm not sure what type of problem this is, but most people don't favor all the seasons. If there is more to the problem, I would be glad to help further.
Answer:
One possible way to estimate how many people out of 20 would say that they like all seasons is to use a simple random sample. A simple random sample is a subset of a population that is selected in such a way that every member of the population has an equal chance of being included. For example, one could use a random number generator to assign a number from 1 to 20 to each person in the population, and then select the first 20 numbers that appear. The sample would then consist of the people who have those numbers.
Using a simple random sample, one could ask each person in the sample whether they like all seasons or not, and then calculate the proportion of positive responses. This proportion is an estimate of the true proportion of people in the population who like all seasons. However, this estimate is not exact, and it may vary depending on the sample that is selected. To measure the uncertainty of the estimate, one could use a confidence interval. A confidence interval is a range of values that is likely to contain the true proportion with a certain level of confidence. For example, a 95% confidence interval means that if the sampling procedure was repeated many times, 95% of the intervals would contain the true proportion.
One way to construct a confidence interval for a proportion is to use the formula:
p ± z * sqrt(p * (1 - p) / n)
where p is the sample proportion, z is a critical value that depends on the level of confidence, and n is the sample size. For a 95% confidence interval, z is approximately 1.96. For example, if out of 20 people in the sample, 12 said that they like all seasons, then the sample proportion is 0.6, and the confidence interval is:
0.6 ± 1.96 * sqrt(0.6 * (1 - 0.6) / 20)
which simplifies to:
0.6 ± 0.22
or:
(0.38, 0.82)
This means that we are 95% confident that the true proportion of people who like all seasons in the population is between 0.38 and 0.82. Therefore, based on this sample and this confidence interval, we would expect between 8 and 16 people out of 20 to say that they like all seasons in the population.
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358.584 divided by 9.92
Answers
Answer:
36.147580645161
Step-by-step explanation:
Hope it helps you
Divide and simplify. Give your answer using positive exponent. Leave your answer in exponential notation.
Answers
Answer:
14⁻⁵
Step-by-step explanation:
Dividing two exponents with the same base has the effect of subtracting the bottom exponent from the top one. Following that rule, we can simplify our fraction like this:
\(\dfrac{14^{-3}}{14^2}=14^{-3-2}=14^{-5}\)
Answer:
1/14^5
Step-by-step explanation:
14^-3 can be rewritten as 1/14^-3
When doing so you are left with 1/(14^2)(14^3)
Simplify: 1/(14^5) because when multiplying exponents with common bases, you add the exponents.
Of the 32 students in Joe's class, 8 students ride their bikes to school, 5 walk to school, 4 get a ride to school in a car, and 15 take the bus to school. What is the experimental probability of choosing a student who walks to school?
Answers
The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.
Given data ,
The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.
Number of students who walk to school = 5
Total number of students in the class = 32
Experimental probability = Number of students who walk to school / Total number of students
= 5 / 32
P = 0.15625
Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.
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~!!!! PLEASE HELP I HAVE AN HOUR TO DO THIS !!!!~ im a 7th grader in honors learning 9th and 8th grade math please help me
QUESTION~~
How the graph of f(x) = |x| compare with the graph of g(x) = −1/2|x|
ANSWERS CHOICES~
(A):The graph of g is a vertical compression and reflection over the x-axis of the graph
of f.
(B):The graph of g is a vertical stretch and reflection over the y-axis of the graph of f.
(C):The graph of g is a vertical stretch and reflection over the x-axis of the graph of f.
(D):The graph of g is a vertical compression and reflection over the y-axis of the graph of f.
Answers
Answer:
A.
Step-by-step explanation:
the blue is f(x) and red is g(x) as you can see the numbers and it reflects over the x-axis.
Given mn, find the value of x.
(2x-16)°
(4x+4)°
Answers
Answer:
x = 32
Step-by-step explanation:
Since m||n and the angles formed are on the same transversal, the angles are corresponding angles i.e. their sum adds up to 180°
Using given data
2x - 16 + 4x + 4 = 180
==> 6x - 12 = 180
==> 6x = 180 + 12 (by adding 12 on both sides)
==> 6x = 192
x = 192/6
x = 32
The diagram shows a triangle.
31° / 6x / x+16°
What is the value of x?
Answers
Step-by-step explanation:
31 + 6x + x + 16 = 180
7x + 47 = 180
7x = 180 - 47
x = 133/7
x = 19
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Answers
developing:
a low GDP
an economy based on agriculture
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
Simplify.
−6i−44−−−−√
Enter your answer, in simplest radical form, in the box.
Answers
Expressions that have the square root sign are said to be radicals.
The simplified form of \(-6i\sqrt{-44}\) is \(12\sqrt{11}\)
The expression is given as:
\(-6i\sqrt{-44}\)
Start by splitting the expression
\(-6i\sqrt{-44} = -6 \times i \times \sqrt{-44}\)
Factorize -44
\(-6i\sqrt{-44} = -6 \times i \times \sqrt{-1} \times \sqrt{44}\)
In complex numbers;
\(i = \sqrt{-1\)
So, we have:
\(-6i\sqrt{-44} = -6 \times \sqrt{-1} \times \sqrt{-1} \times \sqrt{44}\)
Express \(\sqrt{-1} \times \sqrt{-1}\) as \(-1\)
\(-6i\sqrt{-44} = -6 \times -1 \times \sqrt{44}\)
\(-6i\sqrt{-44} = 6 \times \sqrt{44}\)
Express 44 as 4 x 11
\(-6i\sqrt{-44} = 6 \times \sqrt{4} \times \sqrt{11}\)
Express \(\sqrt 4\) as \(2\)
\(-6i\sqrt{-44} = 6 \times 2 \times \sqrt{11}\)
\(-6i\sqrt{-44} = 12 \times \sqrt{11}\)
\(-6i\sqrt{-44} = 12\sqrt{11}\)
Hence, the simplified expression is: \(12\sqrt{11}\)
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A circular swimming pool has a radius of 15 ft. There is a path all the way around that pool that is three feet wide. What is the circumference of the outer edge of the path around the pool? Use 3.14 for Pi.
Answers
Answer:
The radius of the circle with the circumfrence we need to find is 15+3=18.
18*2pi=113.04