Please help me with trigonometry I’m being timed and need all the help I can get
Answers
Answer:
I believe x would equal \(12\sqrt{2}\)
Step-by-step explanation:
using the properties of a 45 45 right angle.
Related Questions
FreshmenSophomoreJuniors464Below, the two-way table is given for aclass of students.Seniors TotalMale2 2Female 36 3TotalIf a student is selected at random, find theprobability the student is a junior given that it'smale. Round to the nearest whole percent.[?]%
Answers
Solution
Step 1
Write out the expression for the probability of an event occurring
\(Pr(\text{ event occurring)}=\frac{Number\text{ of required events}}{\text{Total number of events}}\)For this question,
The number of required events = The number of students that are male and Junior= 2
The total number of events = The total number of male students= 4+6+2+2 = 14
Step 2
Find the required probability after substitution
\(Pr(\text{student }is\text{ a junior given its male) =}\frac{2}{14}=\frac{1}{7}\)Hence the probability the student is a junior given its a male = 1/7
In percentage, the probability will be
\(\begin{gathered} \frac{1}{\frac{1}{7}}=\frac{100}{x} \\ \text{x =}\frac{1}{7}\times100 \\ \text{x = 14.29\%} \end{gathered}\)
Where x is the required percentage, to the nearest whole percent, the final answer is 14%
Jose makes $34 in 2 hours. How much does he make in 40 hours?
Answers
Answer:
680
Step-by-step explanation:
Jose's income in 2hours = $34
in 1 hour = 34 divide by 2 = 17
income made in 40 hours = 17 multiplied by 40 = $680
Assume that T(2) = 1. What is the correct statements below if function T satisfies the follow- ing recurrence: T(n)=√n. T(√n). NOTE: Only one answer is correct. Recall that we learned about at least two methods to solve recurrences: the Substitution Method and the Master Method.
Answers
By resolving one equation for one variable and substituting it into the other equation, the substitution method is a method for solving systems of linear equations.
In order to solve for the final variable, it is necessary to express one variable in terms of the other and then insert that expression into the other equation.
Given: T(2) = 1 and recurrence:T(n) = √n. T(√n) In order to determine the correct statement below if function T satisfies the given recurrence, we will use the substitution method.
Step 1:We will first find the value of T(n)×T(n) = √n × T(√n)This is our recurrence relation.
Step 2:Now, we will assume that T(k) = 1 for all k such that 2 ≤ k ≤ n. Hence, T(√n) = 1 as 2 ≤ √n ≤ n.
Now, substituting the value of T(√n) in our recurrence relation, we get,
T(n) = √n ×1 = √n. Therefore, the correct statement is: T(n) = √n
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selena would like to learn a new language. to gauge how common it is for people to know more than one language, she asks 10 of her friends how many languages they speak. she compiles the responses in the table below. languages spoken 2 1 1 1 2 3 1 2 1 1 use a calculator to create a relative frequency distribution for the data. what is the relative frequency of her friends who speak more than one language?
Answers
The relative frequency of Selena's friends who speak more than one language is 3/16 or 0.1875
To create a relative frequency distribution, we first need to find the total number of responses by summing up the number of languages spoken by Selena's friends. In this case, the total number of responses is 2 + 1 + 1 + 1 + 2 + 3 + 1 + 2 + 1 + 1 = 16.
Next, we need to find the relative frequency for each category, which is the number of responses in that category divided by the total number of responses. To find the relative frequency of her friends who speak more than one language, we need to add up the number of responses in categories 2, 3, and above.
In this case, the number of responses in category 2 is 2, the number of responses in category 3 is 1, and there are no responses above 3.
So the relative frequency would be (2+1)/16 = 3/16 or 0.1875
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Rai compares two cable plans from different companies. Which equation gives the correct value of m, the number of months for which Plans A and B cost the same?
Answers
Answer:
D. 75m = 50(12)+125(m-12)
Step-by-step explanation:
m = months.
Equation for which Plans A and B cost the same.
In Plan A:
No initial fees.
$75 per month
1 month = $ 75
then;
for m month =$75 m
Total cost for plan A = 75m
In Plan B:
$50 per month for first 12 month.
1 month = $50
12 months = 50(12)
Similarly,
$125 per month for each additional month after that.
additional month= (m-12)
Plan B additional month
= 125(m-12)
Total cost for plan B = 50(12)+ 125(m-12)
Since, Plans A and B cost the same.
75m = 50(12)+125(m-12)
A jacket cost $35.50 more than a pair of tennis shoes if the total cost of both items is $161.30 find the cost of each
Answers
Answer:
$62.9 and $98.4
Step-by-step explanation:
Let the cost of tennis shoe be x
Since a jacket cost $35.50 more than a pair of tennis shoe,
Then cost of jacket would be
= $35.50 + x
Total cost of both items would be;
x + $35.50 + x = $161.30
2x = $161.30 - $35.50
2x = $125.8
x = $62.9
Therefore, cost of pair of tennis shoe is $62.9
Jacket cost would now be
= $35.5 + x
= $35.5 + $62.9
= $98.4
please help me with this question. find the exact circumference of the circle using the given inscribed polygon please help me
Answers
53,38
Step-by-step explanation:
x = √15² + 8²
x = √225 + 64
x = √289
x = 17
circle's circumference = π × d
3,14 × 17 = 53,38
Find the roots: x^2−12x+32=0.
Enter your answers in the boxes (numbers only).
Answers
The answers are 4 and 8.
Because:
x^2 - 12x + 32 =
(x - 4)(x - 8)
x - 4 = 0
+4 +4
x = 4
x - 8 = 0
+8 +8
x = 8
5/6 - 1/9 = ?/? - ?/? = ?/?
please help 20 points
i need to know what each ( ?/? ) is
Answers
5/6 - 1/9=?/? - ?/? = ?/? , value of each (?/?) is
5/6 -1/9 =15 /18 -2/18 =13 /18.
As given,
5/ 6 - 1/9 =?/? -?/? =?/?
Convert the given terms into like terms
Least common multiple of (6,9)=18
Value of each ( ?/?)
(5/6 ) × ( 3/3) -(1/9) × (2/2)
= 15 /18 - 2/18
= 13 /18
Therefore,5/6 - 1/9 = ?/? - ?/? = ?/? , value of each (?/?) is equal to
5/6 -1/9 = 15 /18 -2/18 = 13/18.
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In a 10-year period, Bakersfield, CA population grew from 558,000 to 718,000. What is the percentage of increase? (Round to the nearest tenth of a percent)
Answers
The percent increase to the nearest tenth is 22.2%
Calculating percent increasePercent increase is the percent it takes from a value to change from its initial value
Given the following
Initial value = 558,000
Final value = 718,000.
Determine the percent increase
% increase = (718,000-558000)/718,000 * 100
% increase = 160000/718000 * 100
% increase = 22.2%
Hence the percent increase to the nearest tenth is 22.2%
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The line plot represents the wait time in line for a ride at a local fair.
A line plot titled Wait Time at the Fair. The horizontal line labeled Time in Minutes begins at 4, with every one unit labeled up to 10. There are 2 dots above 8. There are 3 dots above 5. There are 5 dots above 7. There are 6 dots above 6.
Which of the following best describes the shape of the data, and why?
The data is skewed and might mean that the wait times were lower than 5 minutes because the park was not busy.
The data is skewed and might mean that the wait times were higher than 7 minutes because the park was busy.
The data is symmetric and might mean that most rides had a wait of 6 to 7 minutes, which are the expected times for those rides.
The data is bimodal with peaks and might mean that the wait times were usually 5 or 7 minutes to ride, which is lower than the expected wait time for those rides.
Answers
The data being skewed and indicating higher wait times above 7 minutes due to a busy park is the most suitable description based on the given line plot.
The best description of the shape of the data is that it is skewed and might mean that the wait times were higher than 7 minutes because the park was busy.
Here's the explanation:
From the line plot, we can observe that there are 6 dots above 6, 5 dots above 7, 3 dots above 5, and 2 dots above 8.
The distribution is not symmetric, as the data points are not evenly spread around a central value.
The fact that there are more dots above 7 and 8 suggests that the wait times were higher than these values for a significant number of rides. This skewness in the data indicates that there were instances of longer wait times.
Additionally, the presence of dots above 5 and 6 suggests that there were some rides with shorter wait times as well.
However, the higher concentration of dots above 7 and 8 indicates that the park was likely busy, leading to longer wait times.
The option stating that the data is skewed and might mean that the wait times were higher than 7 minutes because the park was busy best aligns with the information provided by the line plot.
It acknowledges the skewness of the data towards higher wait times, suggesting that the park experienced increased demand and longer queues during the fair.
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m(x)= 3^x
t(x)= -m(x+1)
I just need to know what happened to m(x) to make it t(x)
Answers
Answer:
Step-by-step explanation:
We begin with m(x) = 3^x.
Then -m(x + 1) = -3^(x + 1). Here we've inserted the ' - ' sign and replaced x with (x + 1).
Determine which of the following sets is a vector space. U is the line y = x in the xy-plane: U = V is the union of the first and second quadrants in the xy-plane: V = W is the line y = x + 1 in the xy-plane: W = Select one: a. W only b. U and V c. V and W d. U only e. V only
Answers
The set U is not a vector space because it does not contain the zero vector (the point at the origin) and it is not closed under vector addition (adding two points on the line may result in a point outside the line).
The set V is not a vector space because it is not closed under scalar multiplication (multiplying a point in the first or second quadrant by a negative scalar may result in a point outside V).
The set W is a vector space because it satisfies all of the axioms of a vector space. Therefore, the answer is (a) W only.
To determine if a set is a vector space, it must satisfy certain properties, including closure under addition and scalar multiplication.
U is the line y = x in the xy-plane, and it is a vector space because if you add or multiply any two vectors on this line, the result will still be on the line.
V is the union of the first and second quadrants in the xy-plane. It is not a vector space because adding or multiplying two vectors from different quadrants may result in a vector outside the set.
W is the line y = x + 1 in the xy-plane, and it is not a vector space because it does not pass through the origin (0,0). The set does not contain the zero vector and is not closed under scalar multiplication.
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how to find eigenvalues and eigenvectors of a 2x2 matrix
Answers
To find the eigenvalues and eigenvectors of a 2x2 matrix, follow these steps:
Calculate the characteristic equation by subtracting the identity matrix I multiplied by the scalar λ from matrix A, and set the determinant of this resulting matrix equal to zero. The characteristic equation is given by det(A - λI) = 0.Solve the characteristic equation to find the eigenvalues (λ).
Let's assume we have a 2x2 matrix A:
| a b |
A = | c d |
To find the eigenvalues, we need to calculate the characteristic equation:
det(A - λI) = 0,
where I is the 2x2 identity matrix and λ is the eigenvalue.
A - λI = | a-λ b |
| c d-λ |
The determinant of this matrix is:
(a-λ)(d-λ) - bc = 0,
which simplifies to:
λ² - (a+d)λ + (ad - bc) = 0.
This quadratic equation gives us the eigenvalues.
Solve the quadratic equation to find the values of λ. The solutions will be the eigenvalues.
Once you have the eigenvalues, substitute each value back into the equation (A - λI)v = 0 and solve for v to find the corresponding eigenvectors.
For each eigenvalue, set up the homogeneous system of equations:
(A - λI)v = 0,
where v is the eigenvector.
Solve this system of equations to find the eigenvectors corresponding to each eigenvalue.
To find the eigenvalues and eigenvectors of a 2x2 matrix, follow the steps mentioned above. The characteristic equation gives the eigenvalues, and by solving the corresponding homogeneous system of equations, you can determine the eigenvectors.
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7.5 meal; 6.5% tax
PLS HELP ME!!!!!!
Answers
Answer:
$7.99
Step-by-step explanation:
6.5% of 7.5 = 0.4875
7.5 + 0.4875 = 7.9875 or about 7.99
The data on the right represent the number of live multiple-delivery births (three or more babies) in a particular year for women 15 to 54 years old. Use the data to complete parts (a) through (d) below.
Age 15-19 20-24 25-29 30-34 35-39 40 44 45-54 Number of Multiple Births 89 508 1631 2822 1855 374 119 (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old P(30 to 39) =______
(Type an integer or decimal rounded to three decimal places as needed.)
(b) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39)=_____ (Type an integer or decimal rounded to three decimal places as needed.) (c) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was less than 45 years old. P(less than 45)=_____
(Type an integer or decimal rounded to three decimal places as needed.) (d) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was at least 40 years old. Interpret this result. Is it unusual? Find the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was at least 40 years old. P(at least 40) =_____ (Type an integer or decimal rounded to three decimal places as needed.) Interpret this result. Select the correct choice below and fill in the answer box to complete your choice. (Type a whole number.) A. If 1000 multiple births for women 15-54 years old were randomly selected, we would expect about of them to involve a mother who was at least 40 years old. B. If 1000 multiple births for women 15-54 years old were randomly selected, exactly of them would involve a mother who was at least 40 years old. Is a multiple birth involving a mother who was at least 40 years old unusual? A. Yes, because the probability of a multiple birth involving a mother who was at least 40 years old is greater than 0.05.
B. Yes, because the probability of a multiple birth involving a mother who was at least 40 years old is less than 0.05. C. No, because the probability of a multiple birth involving a mother who was at least 40 years old is greater than 0.05. D. No, because the probability of a multiple birth involving a mother who was at least 40 years old is less than 0.05.
Answers
Using the given data on the number of live multiple-delivery births for women aged 15 to 54, we need to calculate probabilities related to the age groups of the mothers. The probability of a randomly selected multiple birth involving a mother aged 30 to 39 will be determined, as well as the probabilities of not being in the age range, being less than 45, and being at least 40. Finally, we need to interpret whether a multiple birth involving a mother aged at least 40 is unusual.
(a) To calculate the probability of a randomly selected multiple birth involving a mother aged 30 to 39, we sum the number of multiple births in that age group and divide it by the total number of multiple births for women aged 15 to 54.
P(30 to 39) = 2822 / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
(b) To find the probability of a randomly selected multiple birth involving a mother who is not aged 30 to 39, we subtract the probability found in part (a) from 1.
P(not 30 to 39) = 1 - P(30 to 39)
(c) To determine the probability of a randomly selected multiple birth involving a mother aged less than 45, we sum the number of multiple births for age groups below 45 and divide it by the total number of multiple births for women aged 15 to 54.
P(less than 45) = (89 + 508 + 1631 + 2822 + 1855 + 374) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
(d) To find the probability of a randomly selected multiple birth involving a mother aged at least 40, we sum the number of multiple births for age groups 40-44 and 45-54, and divide it by the total number of multiple births for women aged 15 to 54.
P(at least 40) = (374 + 119) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
Interpretation: The answer to part (d) will determine whether a multiple birth involving a mother aged at least 40 is unusual. If the probability is less than 0.05, it can be considered unusual. Therefore, we need to compare the calculated probability to 0.05 and select the correct choice.
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Solve the inequality 5x + 3 2 48
Answers
Answer:
The vertical intercept is (-3248/5,0)
Step-by-step explanation:
if that helps
Which Statement best describes the data set represented by this box-and-whisker plot?
Answers
Answer:
C
Step-by-step explanation:
The middle of the plot falls at 9, making this statement true. None of the others make sense. Good luck!
helpppppppppp please
Answers
The like terms in the expression are 3.2a - 4 1/3a and -a and + 7 - 1.
The simplified linear expression is 6 - 2.1a.
What is the simplified linear expression ?In mathematics, like terms are terms that have the same variables raised to the same power. Like terms can have difference coefficients.
The like terms in this expression are: 3.2a - 4 1/3a and -a
The second set of like terms are: + 7 - 1
In order to simplify the expression, add the like terms together
+ 7 - 1 = 6
To add 3.2a - 4 1/3a and -a, the numbers have to be in the same form. Thus, the mixed number would be changed to a decimal.
3.2a - 4.3a - a = -2.1a
The simplified expression becomes 6 - 2.1a
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PLEASE HELP ME! I am not sure how to answer this question.
Answers
Answer:
yes
Step-by-step explanation:
the diagnols are congruent meaning that the diagnol lines in the middle are the same length. So theoretically the left and right lengths are the same, and the top and bottom lengths are the same. The triagles named both have the same base and they're hieght is sbviouysly the same so they would be SSS each of the sides on one triangle coresspondes to the other.
Most of the geometry concepts and theorems that are learned in high school today were first discovered and proved by mathematicians such as Euclid thousands of years ago. Given that these geometry concepts and theorems have been known to be true for thousands of years, why is it important that you learn how to prove them for yourself?
Answers
Answer:
self realization, confidence
Step-by-step explanation:
also these concepts are used in real life jobs but most people think otherwise because you dont use them in a grocery store... yeah people think that, but also its so these concepts that were figured out thousands of years ago dont fade away with the newer generations
Solve for x in the equation x squared minus 12 x 36 = 90.
Answers
Answer:
x = ±3√58
Step-by-step explanation:
Given
x² - (12 x 36) = 90Solving
x² - 432 = 90x² = 522x² = 9 x 58x = ±3√58Answer:
\(x =\) ± \(22.85\)
Step-by-step explanation:
Step 1: Multiply 12 * 36
\(x^2 - (12 * 36) = 90\)
\(x^2 - 432 = 90\)
Step 2: Add 432 to both sides
\(x^2 - 432 + 432 = 90 + 432\)
\(x^2 = 522\)
Step 3: Square root both sides
\(\sqrt{x^2} = \sqrt{522}\)
\(x =\) ± \(22.85\)
Answer: \(x =\) ± \(22.85\)
The entire length of the Appalachian Trail is 2,160 miles. How long would it take you to hike the full length of the trail?
Answers
Answer:
Step-by-step explanation:
10hours
I really need help with this and happy thanksgiving
Answers
Answer:
C (-2,2)
D (1,-2)
Step-by-step explanation:
happy thanksgiving!
the base of a prism is right angled triangle with its two shorter sides equal to 4cm and 8cm . the prism is 10cm long.!
Answers
Answer: you want :
volume = area of base x height
Your base is a right-angled triangle
= (1/2)(4)(8)
multiply that by the height of the prism and you are done
Step-by-step explanation: add me brainliest and rate and say thanks
PLEASE HELP PLEASE I NEED TO HELP URGENTLY!!!
Answers
The functions y=2x and y=-2x has different slopes 2 and -2 respectively.
The given equation is y=-2x.
Graph the line using the slope and y-intercept, or two points.
Slope: -2
y-intercept: (0,0)
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form: (0,0)
Equation Form: x=0, y=0
Here, in the functions y=2x and y=-2x
The slope is different 2 and -2.
Both the functions has same solution (0, 0)
Therefore, the functions y=2x and y=-2x has different slopes 2 and -2 respectively.
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The results from a research study in psychology are shown in the accompanying table. Create a spreadsheet to approximate the total number of extra points earned on the exam using Simpson's rule. Number of hours of study, x 1 2 3 4 5 6 7 8 9 10 11 Rate of extra points 4 8 14 11 12 16 22 20 22 24 26 earned on exam, f(x) OCIED The total number of extra points earned is approximately (Type an integer or a decimal.
Answers
The total number of extra points earned is approximately 214 using Simpson's Rule.
Simpson's rule is a technique of numerical integration that approximates the value of a definite integral of a function by using quadratic functions. Here, you are supposed to create a spreadsheet to estimate the total number of extra points earned on the exam using Simpson's rule.Here is the table provided:
Number of hours of study, x1 2 3 4 5 6 7 8 9 10 11
Rate of extra points 4 8 14 11 12 16 22 20 22 24 26 earned on exam, f(x) OCIED
We first calculate h and represent it as follows:
h = (b-a)/nwhere b = 11, a = 1, and n = 10.
Therefore, h = (11-1)/10 = 1.
Substituting the values into the Simpson's Rule formula, we have:
∫ba{f(a) + 4f(a+h) + 2f(a+2h) + 4f(a+3h) + ... + 2f(b-h) + 4f(b-2h) + f(b)} / 3n
We have 10 intervals. Thus we have:
∫1111 {4 + 4(8) + 2(14) + 4(11) + 2(12) + 4(16) + 2(22) + 4(20) + 2(22) + 4(24) + 26} / 30≈ 214.0
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Carpet sells for $4 per square foot and will cost you $616 to recarpet your rectangular room. if your room is 14 feet long, how many feet wide is it?
Answers
When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet
Given,
The cost of Carpet per square foot = $4
Total cost of the carpet = $616
We know
Area of the rectangle = Length × Width
Length = 14 feet
Consider the width of the rectangular room as x
Then the area of the room = 14x
Total cost of carpet = Area of the rectangular room× Cost of carpet per foot
Substitute the values
14x×4=616
14x=154
x=11 feet
Hence, When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet
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Please somebody help me!!!
Divide the following polynomials and then complete the quotient. Write your answer in order of decreasing powers of x.
(10x^6 + 20x^4 - 15x^2) ÷ 5x^2 = x^4 + x -2
Answers
The quotient of the polynomial 10x⁶ + 20x⁴ - 15x² by 5x² will be (2x⁴ + 4x² - 3).
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The polynomials are given below.
10x⁶ + 20x⁴ - 15x² and 5x²
The factor of the polynomial 10x⁶ + 20x⁴ - 15x² will be given as,
10x⁶ + 20x⁴ - 15x² = (5x²) · (2x⁴ + 4x² - 3)
The quotient of the polynomial 10x⁶ + 20x⁴ - 15x² by 5x² will be given as,
⇒ (10x⁶ + 20x⁴ - 15x²) ÷ (5x²)
⇒ [(5x²) · (2x⁴ + 4x² - 3)] ÷ (5x²)
⇒ (2x⁴ + 4x² - 3)
The quotient of the polynomial 10x⁶ + 20x⁴ - 15x² by 5x² will be (2x⁴ + 4x² - 3).
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The radius of a circle is 4 inches. What is the angle measure of an arc inches long?
Answers
Answer:
2πr
Step-by-step explanation: