in right triangle abc, mzb + m2c. let sinb = r and cos b = s. what is sinc-cosc?
Answers
The value of the trigonometric expression sin c - cos c is: s - r
How to solve Trigonometric Ratios?The three most common trigonometric ratios are:
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
tan x = opposite/adjacent
We are given that:
sinb = r and cos b = s
Thus, from the diagram attached, we can see that:
sin B = rh/h = r
cos B = sh/h = s
Thus, using trigonometric ratios, we can equally say that:
cos C = rh/h = r
sin C = sh/h = s
Thus:
sin c - cos c = s - r
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Related Questions
Solve the equation for x
√√x+5-3-4
Ox=2
Ox=12
Ox=44
Ox=53
help!!
Answers
Hence, OPTION (C) is your answer: X = 44
Step-by-step explanation:
SOLVE FOR X:√x + 5 - 3 = 4
Isolate√x + 5 = 3 + 4
√x + 5 = 7
Squared Both Sides:(√x + 5)2 = (7)2
x + 5 = 49
Rearranged:x - 44 = 0
+44 = 44
X = 44
Add 44 on both sides:Now we conclude!Hence, X = 44
Draw The conclusion: CheckEquation: √x + 5 = 7
Now we Plug in 44 for x√(44) + 5 = 7
Now Simplify√49 = 7
Conclusion checks Solution is:Hence, x = 44
I hope this helps!
Clear parentheses and combine like terms:
Answers
Answer:
-3p - p²
Last option
Step-by-step explanation:
Step 1: Write out expression
2p - 7p² - 5p + 6p²
Step 2: Combine like terms (p²)
-p² + 2p - 5p
Step 3: Combine like terms (p)
-p² - 3p
Step 4: Rewrite
-3p - p²
Use the Counting Principle to find the probability of rolling a 5 on each of 2 number cubes.
A.) 1 / 36
B.) 1 / 12
C.) 1 / 3
Answers
Answer:
b
Step-by-step explanation:
5n – 2n
I need help asap
Answers
Explanation: The end of a subtraction equation is basically just the negative number, except you add it to the other part.
For example, 2n is really -2n, and you just add -2n to 5n (which is positive,) and you get 3n.
what is v64 + 36 smplified
Answers
Answer: D.) 14
Step-by-step explanation:
First, you first calculate the square root of 64 , this gives you 8
Next, you calculate the square root of 36, which gives you 6
Then, since you are asked to add the two, you add 8 + 6 since this is the simplified version of the original equation.
8 + 6 = 14
Therefore, your answer is D.) 14
The parent function f(x) = x2 is reflected across the x-axis, vertically stretched by a factor of 5, and translated 3 units down to create g. Identify g in vertex form.
g(x) = −5(x − 3)2
g(x) = −5x2 − 3
g(x) = −5(x + 3)2
g(x) = −5x2 + 3
Answers
Answer:
g(x) = −5x2 − 3
Step-by-step explanation:
did the homework and this was the right answer.
The vertex form of the function g will be;
⇒ g (x) = - 5x² - 3
What is Translation?
A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
The parent function is,
⇒ f (x) = x²
Now,
After the reflection across the x - axis, we get;
f (x) = - f (x)
Thus, The function is,
g (x) = - x²
And, Vertically stretched by a factor of 5, we get;
g (x) = - 5x²
And, Translated 3 units down, we get;
g (x) = - 5x² - 3
Thus, The vertex form of the function g will be;
⇒ g (x) = - 5x² - 3
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Ignore my work under the question but how do I do this?
Answers
4 - 7x ≥ 11, The graph will be a straight line parallel to y axis passing through x = -1 and the right hand side of the graph will be the solution.
-9x - 3 ≤ -57, The graph will be a straight line parallel to y axis passing through x = 6 and the left hand side of the graph will be the solution.
What is Inequality ?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
A assertion that an inequality exists between two values is known as an equation. It is often expressed as a pair of expressions specifying the relevant values and a relational sign showing the particular inequality connection between them.
Treat the,≥, >, or sign as a = sign when putting an inequality on a graph. Graph the equation as a dotted line if the inequality is either or. Graph the equation as a solid line if the inequality is either or.
The Equation are :
4 - 7x ≥ 11
⇒ x ≥ -1
The graph will be a straight line parallel to y axis passing through x = -1 and the right hand side of the graph will be the solution.
Again
-9x - 3 ≤ -57
-9x ≤ -54
x ≤ 6
The graph will be a straight line parallel to y axis passing through x = 6 and the left hand side of the graph will be the solution.
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Are phone calls equally likely to occur any day of the week? The day of the week for each of 581 randomly selected phone calls was observed. The results are displayed in the table below. Use an a 0.10 significance level a. Complete the rest of the table by filling in the expected frequencies: Frequencies of Phone Calls for Each Day of the Week Outcome Frequency Expected Frequency Sunday 62 83 Monday 108 83 Tuesday 97 83 Wednesday 64 83 Thursday 77 83 3 To do: Mark as done b. What is the correct statistical test to use? Select an answer c. What are the null and alternative hypotheses? H: Phone calls and days of the week are dependent. The distribution of phone calls is uniform over the days of the week. The distribution of phone calls is not uniform over the days of the week. Phone calls and days of the week are independent H: The distribution of phone calls is uniform over the days of the week The distribution of phone calls is not uniform over the days of the week. Phone calls and days of the week are dependent. Phone calls and days of the week are independent. Phone calls and days of the week are dependent. O phone calls and days of the week are independent. d. The degrees of freedom - e. The test statistic for this data - (Please show your answer to three decimal places.) a 1. The p-value for this sample - (Please show your answer to four decimal places.) 8. The p-value is Select an answer h. Based on this, we should Select an answer 1. Thus, the final conclusion is... There is insufficient evidence to conclude that phone calls and days of the week are dependent. There is sufficient evidence to conclude that the distribution of phone calls is uniform over the days of the week. a 3. The p-value is Select an answer h. Based on this, we should Select an answer 1. Thus, the final conclusion is... O There is insufficient evidence to conclude that phone calls and days of the week are dependent. There is sufficient evidence to conclude that the distribution of phone calls is uniform over the days of the week. There is insufficient evidence to conclude that the distribution of phone calls is not uniform over the days of the week. There is sufficient evidence to conclude that phone calls and days of the week are dependent. There is sufficient evidence to conclude that the distribution of phone calls is not uniform over the days of the week.
Answers
Phone calls and days of the week are independent. There is insufficient evidence to conclude otherwise.
In the analysis of phone call frequencies for each day of the week, we need to determine if phone calls are equally likely to occur on any day. Using a significance level of 0.10, we can perform a chi-square goodness-of-fit test.
The null hypothesis (H₀) states that the distribution of phone calls is uniform over the days of the week, while the alternative hypothesis (H₁) suggests that the distribution is not uniform.
To calculate the expected frequencies, we divide the total number of phone calls (581) by the number of days (7), resulting in an expected frequency of 83 for each day.
The degrees of freedom for this test are (number of categories - 1), which in this case is 7 - 1 = 6.
Using the chi-square test statistic and the calculated expected frequencies, we can find the p-value associated with the test statistic. If the p-value is less than the significance level of 0.10, we reject the null hypothesis in favor of the alternative hypothesis. Otherwise, we fail to reject the null hypothesis.
Based on the analysis, the p-value is not provided, so we cannot draw a specific conclusion.
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What percent of 40 is 70
Answers
Answer:
think its 175%
Step-by-step explanation:
Convert the fraction to a decimal, then multiply by 100 =175%
Which equation is graphed along with the parent function?
g(x) = RootIndex 3 StartRoot x + 3 EndRoot + 4
g(x) = RootIndex 3 StartRoot x minus 3 EndRoot + 4
g(x) = RootIndex 3 StartRoot x minus 4 EndRoot + 3
g(x) = RootIndex 3 StartRoot x + 4 EndRoot + 3
Answers
Answer:
B. g(x) = RootIndex 3 StartRoot x minus 3 EndRoot + 4
Step-by-step explanation:
edg 2021 .. its correct
The equation that is graphed along with the parent function is \(g(x)=\sqrt[3]{x-3} +4\)
The parent function is a cube root function, represented as:
\(f(x) = \sqrt[3]{x}\)
First, the parent function is horizontally shifted right by 3 units
The rule of this transformation is:
\((x,y) \to (x - 3,y)\)
So, we have:
\(f'(x) = \sqrt[3]{x - 3}\)
Next, the transformed function is vertically shifted up by 4 units
The rule of this transformation is:
\((x,y) \to (x,y+4)\)
So, we have:
\(g(x)=\sqrt[3]{x-3} +4\)
Hence, the equation is \(g(x)=\sqrt[3]{x-3} +4\)
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There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of exactly 1 red?
Answers
Answer:
1/7 chance
Step-by-step explanation:
learned it
solve , (7*7) +(8*8). ASAP. please
Answers
Answer:
\((7 \times 7) + (8 \times 8) \\ = {7}^{2} + {8}^{2} \\ = 49 + 64 \\ = 113\)
Step-by-step explanation:
hope it is helpful to you
For the polynomial function find the following: (i) Degree of the polynomial; (ii) All intercepts; (iii) The intercept.
y = x^2 + 169
Degree of a Polynomial:
When our polynomial is written in expanded form, we can determine its degree by stating the highest exponent on our variable. If our polynomial is factored, the degree is instead equal to the sum of the number of factors, though if any factor is taken to an exponent, we count that factor as many times as indicated by the value of the exponent.
Answers
(i) The highest exponent on the variable x is 2. Therefore, the degree of the polynomial is 2. (ii) There are no x-intercepts for this polynomial. (iii) Since there are no x-intercepts, there is no intercept to be determined for this polynomial.
For the polynomial function \(y = x^2 + 169\):
(i) Degree of the polynomial:
The highest exponent on the variable x is 2. Therefore, the degree of the polynomial is 2.
(ii) All intercepts:
To find the intercepts, we set y = 0 and solve for x.
When y = 0:
\(x^2 + 169 = 0\)
This equation has no real solutions because the term x^2 is always non-negative, and adding 169 to it will result in a positive value. Therefore, there are no x-intercepts for this polynomial.
(iii) The intercept:
Since there are no x-intercepts, there is no intercept to be determined for this polynomial.
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If (x+r)(x+s)=x² +3x-10 for all x, then what is the value for (r+s)?
Answers
The value of (r + s) in the given equation, (x+r)(x+s) = x² + 3x - 10, is (r + s) = 3
Determining the value of an expression from an equationFrom the question, we are to determine the value of the given expression.
The expression we are to determine its value is
(r + s)
To do this, we will compare the terms of the given equation.
From the given equation
(x+r)(x+s) = x² + 3x - 10
First, we will expand the left-hand side of the equation
Expanding the left-hand side of the equation
(x+r)(x+s)
x(x + s) + r(x + s)
x² + xs + xr + rs
Factor the middle expressions
x² + x(s + r) + rs
x² + x(r + s) + rs
x² + (r + s)x + rs
Now, compare the resulting expression to the expression on the right-hand side
x² + 3x - 10
By comparison,
r + s = 3
Hence, the value is 3
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JEEZUS PLEASE HELP ME PEOPLE KEEP TROLLING ME AND NONE OF MY ANSWERS HAVE BEEN CORECTLY ANSWERED, I WILL GIVE MONEY FOR FLIPS SAKE IF YOU HELP!!!!
Answers
Answer:
14. 6 x \(10^{17}\)
15. 28.615 x \(10^{10}\)
16. I'm so sorry, I'm not sure!
17. 1.26 x \(10^{10}\)
18. 1.639 x \(10^{-8}\)
19. 2.025 x \(10^{17}\)
Hope that helps! I'm sorry if it's wrong, and sorry about all the trouble that has been brought upon you!
-Aphrodite
Step-by-step explanation:
Which of these pairs are like terms?
20 x, 0.8 x
17, 3 x
14 x, 14 x2
0.5 x, 0.5 y
Answers
The pair of algebraic expressions which are like terms is; 20x and 0.8x.
What are like terms?Algebraic expressions are pronounced as like terms if the terms contain the same variable raised to the same exponent.
check all options:
20x, 0.8x
same variable and exponent
17, 3x
Not same variable
14x, 14x²
Same variable, not same exponent
0.5x, 0.5y
Not same variable
On this note, it follows that the terms 20x and 0.8x are like terms.
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An interdependent person adequately performs all the roles connected with a given status and has role partners who ____.
Answers
An interdependent person adequately performs all the roles connected with a given status and has role partners who have complementary roles.
Interdependence is where two people are dependent on each other. Both people need each other to achieve their goals or to complete their tasks or activities. Interdependence is the idea that members of a society depend on one another to satisfy their basic needs. People in an interdependent relationship are willing to ask for and offer help to one another.The role partner's roles are complementary since their statuses are tied up together. They have to work together in order to achieve their objectives.
An interdependent person is a person who is able to adequately perform all the roles that are connected with a given status. The person has role partners who have complementary roles. These role partners are necessary for the person to be able to effectively perform his or her duties. They are also necessary for the person to achieve his or her goals. The relationship between the interdependent person and the role partners is a mutually beneficial one. The interdependent person is able to achieve his or her goals, and the role partners are able to achieve theirs. This is because the roles of the interdependent person and the role partners are complementary. They are necessary for one another to be able to achieve their objectives. For example, a football team consists of players who have different roles. There are defenders, midfielders, and strikers. Each player has a role to play in the team. They have to work together in order to win a game. The defenders have to defend the team, the midfielders have to provide support to the strikers, and the strikers have to score goals. They are all interdependent on each other. If one of them fails to perform his or her role, the team will be at a disadvantage. Therefore, they have to work together in order to achieve their objectives.
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i) Multiply: (3.1x10°) x ( 1.5 x 10) = j) Divide: (3.1x10) / ( 1.5 x 10') = Small angle formula is a very useful approximation for angles smaller than about 0.25 radian (~15°). It allows calculation
Answers
i) The multiplication of (3.1x\(10^0\)) and (1.5x10) results in 4.65x\(10^1\).
j) The division of (3.1x10) by (1.5x\(10^{-1\)) equals 2.07x\(10^1\).
i) To multiply numbers in scientific notation, we multiply the coefficients (3.1 and 1.5) and add the exponents (0 and 1) together. In this case, 3.1 multiplied by 1.5 gives us 4.65. Adding the exponents, \(10^0\) multiplied by \(10^1\) results in \(10^1\). Therefore, the final result is 4.65x\(10^1\).
j) When dividing numbers in scientific notation, we divide the coefficients (3.1 and 1.5) and subtract the exponents (1 and -1) from each other. Dividing 3.1 by 1.5 gives us approximately 2.07. Subtracting the exponents, \(10^1\)divided by \(10^{-1\) is equivalent to \(10^{(1-(-1))}\) which simplifies to 10^2. Hence, the result is 2.07x\(10^1\).
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if f′ is continuous, f(4)=0, and f′(4)=13, evaluate lim x→0 f(4+3x)+f(4+4x)/x
Answers
Answer:
Using the definition of the derivative, we have:
f'(4) = lim h→0 (f(4+h) - f(4))/h
Multiplying both sides by h, we get:
f(4+h) - f(4) = hf'(4) + o(h)
where o(h) is a function that approaches zero faster than h as h approaches zero.
Now we can use this to approximate f(4+3x) and f(4+4x):
f(4+3x) ≈ f(4) + 3xf'(4) = 0 + 3(13) = 39
f(4+4x) ≈ f(4) + 4xf'(4) = 0 + 4(13) = 52
Plugging these approximations into the expression we want to evaluate, we get:
lim x→0 [f(4+3x) + f(4+4x)]/x ≈ lim x→0 (39+52)/x = lim x→0 (91/x)
Since 91/x approaches infinity as x approaches 0, the limit does not exist.
To evaluate the given limit, we can use the properties of limits and the fact that f'(4) is known.
lim (x→0) [f(4+3x) + f(4+4x)]/x = lim (x→0) [f(4+3x)/x] + lim (x→0) [f(4+4x)/x]
Now, we apply L'Hôpital's Rule since both limits are in the indeterminate form 0/0:
lim (x→0) [f(4+3x)/x] = lim (x→0) [f'(4+3x)*3]
lim (x→0) [f(4+4x)/x] = lim (x→0) [f'(4+4x)*4]
Since f′ is continuous, f'(4) = 13. Therefore:
lim (x→0) [f'(4+3x)*3] = f'(4)*3 = 13*3 = 39
lim (x→0) [f'(4+4x)*4] = f'(4)*4 = 13*4 = 52
So, the final answer is:
39 + 52 = 91
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A building casts a 33 m shadow when the Sun is at an angle of 26. to the vertical. How tall is the the building, to the nearest meter? Use a trigonometric ratio to find the distance FE. A building casts a 33 m shadow when the Sun is at an angle of 26. to the vertical. How tall is the building, to the nearest meter? Use a trigonometric ratio to find the distance F E.
Answers
so basically we just us do this
tan(26)=33/FE
Multiply to get rid of fraction
tan(26)FE=33
divide to get FE alone
FE = tan(26) * 33
FE=16.0951m
so it should be 16.0951m
Residents who live in the city receive power from the city’s power plant. If the city is a square, approximately how wide is the city if the area is 200 square miles?
Answers
Sqrt(200) = 14.1 miles^2 (1dp)
write y - 2 = 1/3(x + 6) in standard form
Answers
Answer:
x−3y=−12
Step-by-step explanation:
Answer:
x − 3y = −12
Step-by-step explanation:
\(y-2=\frac{1}{3}\left(x+6\right)\)
switch sides
\(\frac{1}{3}\left(x+6\right)=y-2\)
multiply both sides by 3
\(3\cdot \frac{1}{3}\left(x+6\right)=3y-3\cdot \:2\)
simplify
\(x+6=3y-6\)
subtract 6 from both sides
\(x+6-6=3y-6-6\)
simplify
\(x=3y-12\)
standard form
\(x-3y=-12\)
Researchers at a medical center studied the amount of caffeine, in milligrams (mg), contained in a 16-ounce cup of coffee made at one machine at the center's cafeteria. They selected a random sample of 40 16-ounce cups of coffee made at different times of the day during a one-month period. The mean and standard deviation of the amount of caffeine in the sample were 159.88 mg and 36.72 mg, respectively. A graph of the sample data revealed a night skew with one outlier. The researchers will construct a confidence interval to estimate the amount of caffeine for all 16 ounce cups made at the machine
Which of the following conditions is not needed for the inference?
A)The samples were selected at random
B)The observations are independent of one another.
C)The sample size of 40 is less than 10% of the population size
D) The graph of the sample data is symmetric with no outliers
The sample size is large enough to assume that the sampling distribution of sample means is approximately normal
Answers
The condition that is not needed for the inference in this case is D) The graph of the sample data is symmetric with no outliers.
While it is generally desirable to have a symmetric distribution without outliers for making statistical inferences, it is not a necessary condition. The central limit theorem states that as the sample size increases, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution, as long as certain conditions are met (such as random sampling and independence of observations). Therefore, the shape of the sample data distribution and the presence of outliers do not affect the validity of constructing a confidence interval based on the sample mean.
However, the condition that is not needed for the inference is D) The graph of the sample data is symmetric with no outliers. While a symmetric distribution without outliers can make it easier to construct a confidence interval, it is not a necessary condition for inference. The other conditions listed (random sampling, independence, sample size less than 10% of population size, and a large enough sample size) are all necessary for inference.
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A right rectangular prism has a length of 2 1/2 feet, a width of 3 feet, and a height of 1 1/2
feet. Unit cubes with side lengths of 1/2 foot are added to completely fill the prism with no space remaining. What is the volume, in cubic feet, of the right rectangular prism?
Answers
Answer: 11.25 ft³
Step-by-step explanation:
We can use the volume formula to solve. I will turn the halves into 0.5 for calculation purposes.
V = L * W * H
V = 2.5 * 3 * 1.5
V = 11.25 ft³
The volume of the rectangular prism is 11.25 ft³.
The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?
Click pic to see whole problem
Answers
Answer:
Step-by-step explanation:
Solving systems of equations gives the points of intersection when the equations are graphed.
The answer is 3.
33
Look at Bob's Net Worth Statement below:
Item
Automobile
Liabilities
$17,000
Assets
$120,000
House
Mortgage
Credit Cards
Furniture and Fine
Jewelry
$100,000
$5,500
$75,000
Stocks and Bonds
$4,500
A
B
C
What is Bob's total net worth?
$199,500
$122,500
$77,000
$322,000
D
Answers
Explanation: Just add
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Answers
Answer:
A (-2, 5)
Step-by-step explanation:
The attached shows the rectangle and the offered points. The point not on the rectangle is A(-2, 5).
__
If we examine the coordinates, we see that the y-values must be -2 or 3 for a point to be on the rectangle. Similarly, the x-values must be -2 or 5.
The offered point A has an appropriate x-value, but not an appropriate y-value. Point A is not on the rectangle.
answer with real answer otherwise you will be reported
Under a microscope, Ms. Kapinski studies a culture with bacteria. As the number of hours progresses, Ms. Kapinski sees that the bacteria can be modeled by the function b(t)=1290(1.76)^t where b represents the number of bacteria t hours after Ms. Kapinski begins her study.
(a)What does the value 1.76 represent in this situation? Be sure to explain.
(b)What does the value 1290 represent in this situation? Be sure to explain.
(c) The number of bacteria in a second study is modeled by the function b_2 (t)=1180(1.76)^t.
What does the value of 1180 represent in this situation?
What does the difference of 1290 and 1180 mean between the two studies?
Answers
Answer: A-We looked up the Z Score for 1.76 in our Normal Distribution Tables with Z Scores so you don't have to!
First, note that a Z Score of 1.76 means that your statistic is 1.76 standard deviation to the right of the mean on a bell curve. Here is a Bell Curve so you can visualize where 1.76 is on a bell curv
B-The numerical value of 1290 in Chaldean Numerology is: 0. Pythagorean Numerology. The numerical value of 1290 in Pythagorean Numerology is: 0
C-Since 2^10 is the same as 2^5 * 2^5 he was just breaking it down into something easier to calculate to verify that he had the right answer for 2^10 before working the rest of the equation.
Step-by-step explanation:
Abduls bill at a restaurant is $28.65. He wants to leave and 18% tip for the waiter.what is the total amount abdul should leave? round to the nearest cent.
Answers
Answer:
I believe it will be 5.16.
Step-by-step explanation:
18% of 28.65 is 5.157, but rounded to the nearest cent will be 5.16. So 5.16 will be your answer. If this is wrong forgive me :3
The function f(x)=3(1.85)x+3 is shown.
Select from the drop-down menus to correctly describe the end behavior of f(x).
As x decreases without bound, the graph of f(x) (choose one)
approaches y=3
increases without bound
decreases without bound
As x increases without bound, the graph of f(x) (choose one)
approaches y=3
increases without bound
decreases without bound
Answers
Answer:
approaches y=3
increases without bound
Step-by-step explanation: