I need help with trigonometry
Answer:
x = 0.76
Step-by-step explanation:
plugged it into calculator
- Caramel apples cost $2. There is a 50¢ charge
for nuts or chips. Tori wants a caramel apple
with nuts. Chelsea wants both nuts and chips
on her apple. Max wants his caramel apple
plain. How much will the three apples cost?
If 7^9/7^n = 7^3, then n is___.
12
01
-3
3
Answer: 6, but it isn't in your answer choices
Step-by-step explanation: When dividing exponents with the same base, subtract the bottom exponent from the top. In this case, you get 3 from subtracting n from 9, so n should be 6
Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x, y, z, and w in terms of the parameters t and s.)
4x + 12y-7z-20w = 26
3x + 9y-5z-28w = 36
(x, y, z, w)
The solution of the given system of equations is as follows:
x = x y = y z = -4/3x - 10/9y + 68/27
w = -1/147
Let's solve the given system of equations:
4x + 12y - 7z - 20w = 263x + 9y - 5z - 28w = 36
Divide the first equation by 4 and the second equation by 3 we have:
x + 3y - 7/4z - 5/2w = 26/43x + 3y - 5/3z - 28/3w = 12
Now, multiply the first equation by 3 and subtract from the second equation:
3(1x + 3y - 7/4z - 5/2w = 26/4)3x + 3y - 21/4z - 15/2w = 39/4- (3x + 3y - 5/3z - 28/3w = 12)1/3z + 11/3w = 7/4
Now, solve for z:
z = 21w - 28/3By substituting the value of z in terms of w in the first equation we get:
1x + 3y - 7/4(21w - 28/3) - 5/2w = 26/4x + 3y - 147/4w + 7 = 13/2
Multiply both sides by 2, and we get:2x + 6y - 147/2w + 14 = 13
Therefore,2x + 6y - 147/2w = -1/2
Now, solving for w:{147}/{2w}= {-1}/{2}
w = -1/147
By substituting the value of w in the equation x + 3y - 7/4z - 5/2w = 26/4, we get:
1x + 3y - 7/4z - 5/2(-1/147) = 26/4x + 3y - 7/4z + 5/294 = 13/12
Multiplying both sides by 12, we get:12x + 36y - 21z + 5 = 39
Now, solve for z:
z = -{4}/{3}x - {10}/{9}y + {68}/{27}
Hence, the solution of the given system of equations is as follows:x = x y = y z = -4/3x - 10/9y + 68/27w = -1/147
To know more about the Gauss elimination method,
https://brainly.com/question/2284293
#SPJ11
Natalie wrote a computer program that generates two random numbers from one to 11. When she runs it, what is the probability that both values will be more than 8? Write your probability answer as a fraction.
Answer:
Step-by-step explanation:
There are a lot of ifs in this problem. The generator has to be a fair one. Any one of the 11 numbers must be equally likely to happen. Second, the sequence must not be the same each time she turns it on. Assuming both are true, then the numbers she will get are
9 10 11 for one number
9 10 11 for the other number
P(x>8) = 3/11 * 3/11 = 9/121
What are the zeros of the function f(x)=(2x−1)(x+4) ?
Question 2 options:
A. –4 and 2
B. –4 and 1/2
C. –1/2 and 4
D. 1/2 and –4
E. –1/2 and –4
A solution to 8 = -x + 10 is 2
A solution to 2 = 2x + 4 is 8
A solution to -x + 10 = 2x + 4 is 8
A solution to -x = 10 = 2x + 4 is 2.
Answer:
"A solution to 8 = -x + 10 is 2" is the only correct option.
3.75x - 1.5 = 40(Round your answer to the nearest tenth
Answer:
x = 11.1
Step-by-step explanation:
3.75x - 1.5 = 40
3.75x = 40 + 1.5
3.75x = 41.5
x = 41.5/3.75
x = 11.07
Rounded to nearest tenth: 11.1
Answer:
11.1
Step-by-step explanation:
3.75x - 1.5 = 40
+1.5 +1.5
3.75x/3.75 = 41.5/3.75
1x=11.1
x= 11.1
Which set represents the range of the function g(x) - 14 -2x if the domain is x = { 2,4,9}?
A y = {2.5,5,8)
By = { 4,6,18)
C y = {10, 22, 32)
D All real numbers
The set which represents the range of the function g(x) = 14 -2x if the domain is x = { 2,4,9} is; y = {10, 6, -4)
Domain and rangeThe set which represents the range of the function for the given domain can be gotten as follows;
g(2) = 14 -2(2) = 10g(4) = 14 -2(4) = 6g(9) = 14 -2(9) = -4Read more on domain and range;
https://brainly.com/question/2264373
use partial fractions to find the indefinite integral. (remember to use absolute values where appropriate. use c for the constant of integration.) ∫ x2 +36x_36/ x3 − 4x dx
The integral is 9/4 ln|x| - 1/2 ln|x-2| - 7/4 ln|x+2| + C
How to find integral?
First factor the denominator:
x^3 - 4x = x(x^2 - 4) = x(x-2)(x+2)
Now write the integrand as a sum of two fractions:
(x^2 + 36x - 36) / (x^3 - 4x) = A/x + B/(x-2) + C/(x+2)
To find A, we multiply both sides of the equation by x and then take the limit as x approaches 0:
(x^2 + 36x - 36) / (x^2 - 4x) = A + B/(x-2) + C/(x+2)
(x^2 + 36x - 36) = A(x^2 - 4x) + B(x+2) + C(x-2)
-36 = -4A + 2B - 2C
To find B and C, we multiply both sides of the original equation by (x-2) and (x+2), respectively, and then substitute x=2 and x=-2:
(x^2 + 36x - 36) = A(x(x-2)(x+2)) + B(x-2)(x+2) + C(x(x-2)(x+2))
(x^2 + 36x - 36) = A(x^3 - 4x) + B(x^2 - 4) + C(x^3 - 4x)
Let x = 2: 52 = 8A + 4B + 2C
Let x = -2: -100 = -8A + 4B - 2C
Solving the system of equations gives:
A = 9/4, B = -1/2, C = -7/4
Therefore, the integral becomes:
∫ (x^2 + 36x - 36) / (x^3 - 4x) dx = ∫ (9/4)/x dx + ∫ (-1/2)/(x-2) dx + ∫ (-7/4)/(x+2) dx
= 9/4 ln|x| - 1/2 ln|x-2| - 7/4 ln|x+2| + C
Learn more about integral
brainly.com/question/18125359
#SPJ11
Four more than the quotient of a number and 3 is at least that number.
Answer:
\(4+(\frac{x}{3})\geq x\)
Step-by-step explanation:
First, find keywords in the sentence:
Four more than the quotient of a number and 3 is at least that number.
four more than= 4+
quotient= the result of dividing one quantity by another(in this case its \(\frac{x}{3}\))
a number= x
at least= \(\geq\)
Now, form the inequality:
4+
\(4+(\frac{x}{3})\)
\(4+(\frac{x}{3})\geq\)
\(4+(\frac{x}{3})\geq x\)
Hope this helps!! <3
How did islamic scholars contribute to the growth of scientific and mathematic knowledge?.
A viable method of numeration that contained zero and allowed for the solution of equations was developed by Muslim academics, who also used logic to establish mathematical ideas and relationships.
The current arithmetic decimal system and the basic operations associated with it—addition, subtraction, multiplication, division, raising to a power, and extracting the square root and cubic root—were created by Muslim mathematicians.
The Indian numeral system, which is now known as Arabic numerals, was swiftly adopted by Islamic mathematicians. The development of algebra, the use of decimals, mathematical induction, and trigonometry were among the further contributions.
The Arabic translation of mathematical, medicinal, and astronomical writings from their original languages is one of the Islamic world's greatest contributions to contemporary science.
Learn more about contribution of scholars here;
https://brainly.com/question/28920999
#SPJ4
Jonah is purchasing a car that is on sale for 15% off. He knows the function that represents the sale price of his car is c(p) = 0. 85p, where p is the original price of the car. He also knows he has to pay 9% sales tax on the car. The price of the car with tax is f(c) = 1. 09c, where c is the sale price of the car. Determine the composite function that can be used to calculate the final price of Jonah's car. C[f(c)] = 1. 94c f[c(p)] = 0. 9265p c[f(c)] = 0. 9265c f[c(p)] = 1. 94p.
The composite function that can be used to calculate the final price of Jonah's car is f[c(p)] = 0. 9265p.
What is a composite function?A composite function is a function that is in another function, such that on solving the composite function the result is the same as the function solve individually.
We know that the sale price of Jonah's car is c(p) = 0. 85p, where p is the original price of the car. Also, the tax on the car is 9% of the sale price, and the final price of the car is f(c) = 1. 09c, including tax, therefore, the composite function can be written as,
\(f(c) = 1.09 c\)
We already know the value of c, therefore,
\(f(c(p)) = 1.09 (0.85p)\\\\f(c(p)) = 10.9265(p)\)
Hence, the composite function that can be used to calculate the final price of Jonah's car is f[c(p)] = 0. 9265p.
Learn more about the Composite function:
https://brainly.com/question/17299449
Why was isolationism so popular in the United States in the 1920s and 1930s ?
The Great Depression and the memories of the catastrophic losses in World War I combined in the 1930s to push American public opinion and policy in the direction of isolationism. Isolationists favored staying out of international affairs and staying out of conflicts in Europe and Asia.
The devastation and expense of World War One had left their imprint on America, and the majority of people there just wanted to be left alone to focus on fostering prosperity in their country rather than be involved in any further politics in Europe.
Because they did not want the US to be drawn into another conflict the way they (perceived) it had been into World War I, many Americans in the 1930s backed an isolationist stance.
Because when he first became office, he felt at ease reaching out to the globe in a variety of ways. However, after realizing that his neighbors did not get along, he decided it would not be best for the US to become involved.
Therefore,
The Great Depression and the memories of the catastrophic losses in World War I combined in the 1930s to push American public opinion and policy in the direction of isolationism. Isolationists favored staying out of international affairs and staying out of conflicts in Europe and Asia.
To learn more about Isolationism visit :
brainly.com/question/3994238
#SPJ4
How do you create zero pairs using algebra tiles?
O Add a positive unit tile to a negative unit tile.
O Add a positive unit tile to a positive unit tile.
* Add a negative x-tile to a negative x-tile.
VX
O Add a negative x-tile to a positive unit tile.
the correct answers are shown in my screenshot. #happycheating <333
Select all expressions that are equivalent to 5^n/2^n. There may be more than one correct answer. A. (5/2)^n B. (2/5)^-n C. - (5/2)^n D. (2.5)^n E. (1/2/5)^n F. 2^-n/5^-n
The expression equivalent to the 5ⁿ/2ⁿ will be (5/2)ⁿ , (2/5)⁻ⁿ , (2.5)ⁿ , 2⁻ⁿ/5⁻ⁿ.Options A, B, D, and F are correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the expression is, 5ⁿ/2ⁿ
The expression can be written in different ways as,
5/2)ⁿ
(2/5)⁻ⁿ
(2.5)ⁿ
2⁻ⁿ/5⁻ⁿ
Thus, the expression equivalent to the 5ⁿ/2ⁿ will be (5/2)ⁿ , (2/5)⁻ⁿ , (2.5)ⁿ, 2⁻ⁿ/5⁻ⁿ. Options A, B, D, and F are correct.
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ1
In the 1990s, it was generally believed that genetic abnormalities affected about 30% of children. Some people believe that the increase in the number of chemicals in the environment has led to an increase in the incidence of abnormalities, which could have important implications for health insurance companies. A recent study examined 401 randomly selected children and found that 136 of them showed signs of a genetic abnormality.
Required:
a. Which hypotheses should be used to test if the proportion of genetic abnormalities has increased in recent years?
b. Are the conditions met for doing the hypothesis test?
c. What is the p-value?
d. What does this p-value mean?
a. The proportion of genetic abnormalities in recent years is greater than the proportion believed in the 1990s (p > 0.30). b. The number of successes (136) and the number of failures 265 should be at least 10. In this case, both criteria are satisfied. c. The z is 2.048. d. If the p-value is larger than the significance level, it would suggest that there is not enough evidence to reject the null hypothesis and conclude that the proportion has not significantly changed.
a. The hypotheses to test if the proportion of genetic abnormalities has increased in recent years can be stated as follows:
Null hypothesis (H₀): The proportion of genetic abnormalities in recent years is equal to or less than the proportion believed in the 1990s (p ≤ 0.30).
Alternative hypothesis (Ha): The proportion of genetic abnormalities in recent years is greater than the proportion believed in the 1990s (p > 0.30).
b. To conduct the hypothesis test, we need to verify if the conditions for performing the test are met. The conditions are as follows:
Random Sample: The study states that the 401 children were randomly selected, so this condition is met.
Independence: The sample should consist of independent observations. If the children were selected randomly and their genetic abnormalities are unrelated to each other, then the independence condition is likely satisfied.
Large Sample Size: For hypothesis tests involving proportions, it is recommended to have a large enough sample size to ensure the sampling distribution is approximately normal. There is no specific threshold, but as a guideline, both the number of successes (136) and the number of failures (401 - 136 = 265) should be at least 10. In this case, both criteria are satisfied.
c. To find the p-value, we need to perform a hypothesis test based on the given data. Since the sample size is large, we can use the normal approximation for the binomial distribution. We calculate the test statistic, which is the z-score for proportions, and then find the p-value.
The formula for the z-score for proportions is:
z = (\(\hat p\) - p₀) / √((p₀ * (1 - p₀)) / n)
where \(\hat p\) is the sample proportion, p₀ is the proportion under the null hypothesis, and n is the sample size.
In this case, \(\hat p\) (sample proportion) = 136 / 401 = 0.339, p₀ (proportion under the null hypothesis) = 0.30, and n (sample size) = 401.
Calculating the z-score:
z = (0.339 - 0.30) / √((0.30 * (1 - 0.30)) / 401)
z = 2.048
To find the p-value associated with this z-score, we look up the area to the right of the z-score in the standard normal distribution table or use statistical software.
d. The p-value represents the probability of observing a test statistic as extreme as the one calculated (or more extreme) assuming the null hypothesis is true. In this case, since we are testing if the proportion of genetic abnormalities has increased, the p-value is the probability of observing a sample proportion as large as or larger than 0.339, given that the true proportion is equal to or less than 0.30.
Without the actual p-value, it is not possible to provide a specific interpretation. However, if the p-value is smaller than the significance level (commonly chosen as 0.05), it would indicate that there is strong evidence to reject the null hypothesis and conclude that the proportion of genetic abnormalities has increased in recent years.
To know more about proportional:
https://brainly.com/question/29070163
#SPJ4
Find the measure of angle b.
PLZ HELP
Answer: 59 degrees
Step-by-step explanation:
90-31=59
16
Jamar skis down Mount Spalding at a constant rate. After skiing for two minutes, Jamar is at an elevation of 2,100 feet. After skiing for 5 minutes, Jamar is at an
elevation of 150 feet. What is the rate of change, in feet per minute, of Jamar's elevation?
A-700
B
-650
С
650
D 700
The shape of a data-flow (DFD) diagramming process is a(n): A. rectangle. B. arrow. C. rounded rectangle. D. square. E. open box.
The shape of a data flow diagramming process is a open box.
Given nothing and we have to tell the shape of a data flow diagramming process.
A data flow diagram expresses the flow of information for any process or system. It uses symbols like rectangles, circles and arrows to show data inputs, outputs, storage points and the routes between each destination.
In this diagram the information is presented in rectangles and circles which are then joined through arrows.
It can present a process of coordination between departments.
Because there is no shape in which these rectangles , circles and arrows are present. That's why we have said that it is a open box.
Hence the shape of a data flow diagramming process is a open box.
Learn more about data flow diagram at https://brainly.com/question/23569910
#SPJ4
the number which is neither prim nor even
answer : the answer is one
Answer:
PWE BWISIT KAAAAAAA HINDI SANA MASARAP ULAM MO! PANIRA KA
a __________ is a vertical cylinder of rotating air that ranges from 3–10 km in diameter.
Answer: Mesocyclone
Step-by-step explanation:
The second term in a sequence is 13. The term to term rule is "add 6"
Write an expression, in terms of n, for the nth term of the sequence.
Answer:
\(a_{n}\) = 6n + 1
Step-by-step explanation:
This is an arithmetic sequence with nth term
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 13 - 6 = 7 and d = 6 , then
\(a_{n}\) = 7 + 6(n - 1) = 7 + 6n - 6 = 6n + 1
Answer:
the first few terms would be
7, 13, 19, 25, 31
nth term = 7 + 6(n+1)
nth term = 7+ 6n + 6
nth term = 6n + 13
The probability of an event and the probability of its complement always sum to: 1. -1 2. 0 3. 1 4. Any value between 0 and 1
The probability of an event and the probability of its complement always sum to 1.
The probability of an event and its complement refers to the likelihood of either the event occurring or its opposite (not occurring). In any probability space, the sum of these two probabilities must always equal 1.
This can be understood using the concept of the sample space, which represents all possible outcomes of an experiment. The event and its complement together cover the entire sample space, leaving no room for other outcomes. Therefore, the sum of their probabilities must account for the entire probability space, which is equal to 1.
In other words, if the probability of an event occurring is P(A), then the probability of its complement (not A) occurring is 1 - P(A). Adding these probabilities together yields 1:
P(A) + P(not A) = P(A) + (1 - P(A)) = 1
Learn more about probability here:
https://brainly.com/question/32117953
#SPJ11
Identify the sample chosen for the study. the number of times 10 out of 20 students on your floor order pizza in a week.
The sample chosen for the study is the 10 students out of 20 students on your floor. The number of times they order pizza in a week is the variable of interest.
The population is the 20 students on your floor. The number of times all 20 students order pizza in a week is the parameter of interest.
The difference between a sample and a population is that a sample is a subset of the population. A parameter is a numerical summary of a population, while a statistic is a numerical summary of a sample.
In this case, the sample is a subset of the population because only 10 students out of 20 are being surveyed. The parameter of interest is the number of times all 20 students order pizza in a week, which is not known. The statistic of interest is the number of times the 10 students in the sample order pizza in a week, which is known.
learn more about here:
brainly.com/question/870035
#SPJ11
since 2005 the amount of money spent on restaurants in a certain country has increased at a rate of 4% each year in 2005 about 670 billion was spent on restaurants if the trend continues about how much money will be spent on restaurants in 2013 
Answer: Since 2005 the amount of money spent on restaurants in a certain country has increased at a rate of 4% each year. In 2005, about 670 billion was spent on restaurants.
To find the amount spent on restaurants in 2013, we can use the formula:
A = P(1 + r)^t
Where:
A = the final amount
P = the initial amount (670 billion)
r = the rate of increase (0.04 or 4%)
t = the number of years since the initial amount (8 years)
Plugging in the values, we get:
A = 670 billion (1 + 0.04)^8
A = 670 billion (1.04)^8
A = 670 billion * 1.4304
A = 951.8 billion
So, if the trend continues, about 951.8 billion will be spent on restaurants in 2013.
Step-by-step explanation:
Which of the following represents "the difference between a number and eight is twenty-two"?
N - 8 = 22
8 - 22N
8 - N = 22
Answer:
N - 8 = 22
Step-by-step explanation:
The variable N goes first. If you look at the question over again, it says the difference between a number and 8 is 22. The number uses the variable N if your trying to figure out what it is, so your gonna subtract your number from 8 to get 22
Answer:
\(n - 8 = 22 \\ here \: number \: = n \\ thank \: you\)
Solve the inequality 4-5<25
Answer:
4_5=_1 then -1 is <25 25_1 25<-1
Rewrite one eighteenthx3y + seven eighteenthsxy2 using a common factor.
one thirdxy(6x2 + 7y)
one thirdx2y(6x2 + 9y)
one eighteenthxy(x2 + 7y)
one eighteenthx3y2(y + 7)
Answer:
C
Step-by-step explanation:
1/18 x³y + 7/18 xy²
1/18 xy (x² + 7y)
Which of the following is the volume of the largest cone that can fit inside of a cube whose volume is 8 cubic inches?
(1) 2/3Ï€ in 3 (2) 8/3Ï€ in 3
(3) 7 π in 3 (4) 12 π
Step-by-step explanation:
The cube is 2 x 2 x 2 inches
so the cone has a height of 2 inches and a radius of 1 inch
volume of cone = 1/3 pi r^2 h
= 1/3 pi (1^2)(2) = 2/3 pi in^3 or = 2.09 in^3