Answer:
f=2.93cm
Step-by-step explanation:
SOH CAH TOA [the length you are finding is adjacent to the angle and opposite to right angle is the hypotenuse, therefore use cosine]
cos(43°)=f/4
[times 4x on both sides it cancels on the left]
4cos(43°)=f
2.93=f
Identify the domain of the function shown in the graph
Answer:
C. All real numbers.
Step-by-step explanation:
The domain is the set of all x values that are used by points on the graph. This is a sine wave, and we assume it extends infinitely far to the left and right. Even without that assumption, you can eliminate the other answers.
A. This describes the numbers on the x-axis between 0 and 5, inclusive. But the graph includes many more points with x-coordinates beyond that interval.
B. The same sort of thing: the graph extends well beyond the interval of x values between -5 and 5, inclusive.
D. This would mean the graph has only points with positive x-coordinates, but there are many with negative (or 0) x-coordinates.
(−7x 2 −4)+(−7x 2 −6x−2)
-20
Explanation:
( − 7 ^ 2 − 4 ) + ( − 7 ^ 2 − 6 − 2 )
Eliminate the redundant parentheses, subtract the numbers which will get you, combine like terms, rearrange terms, then your solution is:
− 1 4 2 −6 −6
Figure that problem out then you will get -20.
Answer:
−14x^2 − 6x - 6
Step-by-step explanation:
(−7x 2 −4)+(−7x 2 −6x−2) should be written as (−7x^2 −4) + (−7x^2 −6x−2). The " ^ " symbol denotes exponentiation. 7x^2 means "7 times the square of x." We can immediately remove the parentheses, obtaining:
−7x^2 −4 −7x^2 − 6x − 2
Our next step is to combine like terms. For example, -7x^2 appears twice, with the same (negative) sign; summing these up results in -14x^2.
Immediately after doing that, we have:
−14x^2 −4 − 6x − 2
and need to combine the constants -4 and -2:
−14x^2 −6 − 6x
Finally, we write these terms in descending powers of x:
−14x^2 − 6x - 6
The manager at Apex Gym wants to know when the new pricing model (higher per-class fee but lower membership fee) will be better than the old pricing model used last year. He uses a table to calculate the members’ costs for different numbers of classes.
The completed table to show the member cost for different numbers of classes is :
No. of classes Cost under old model Cost under new model
2 170 110
4 200 170
5 215 200
6 230 230
7 245 260
How to find the member costs ?Assuming that the number of classes is x, then the formula to find the cost with a certain number of classes with the old model is:
= 15 x + 140 membership fee
4 classes :
= 15 x 4 + 140
= $ 200
5 classes :
= 15 x 5 + 140
= $ 215
6 classes :
= 15 x 6 + 140
= $ 230
7 classes :
= 15 x 7 + 140
= $ 245
Cost under new model would take the formula:
= 30 x + 50 membership fee
4 classes :
= 30 x 4 + 50
= $ 170
5 classes :
= 30 x 5 + 50
= $ 200
6 classes :
= 30 x 6 + 50
= $ 230
7 classes :
= 30 x 7 + 50
= $ 260
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PLS HELP ME WITH THIS
Answer:
8/9 is a rational number.
Step-by-step explanation:
Rational numbers are numbers that result when one integer is divided by another integer. Since 8 is an integer and 9 is...
From the observation deck of a skyscraper, Bashir measures a 45^{\circ} the angle of depression to a ship in the harbor below. If the observation deck is 1057 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest hundredth of a foot if necessary.
Frequently, engineers and architects cannot directly measure an object’s length (distance),because it is impractical or physically impossible. Trigonometry is a valuable tool in such situations. For example, use the appropriate trigonometric ratio to determine the height of the cliff in the following diagram. Estimate to 1 place after the decimal.
Answer:
approximately 84.4 meters
Step-by-step explanation:
Make sure your calculator is in degree mode.
Let h be the height of the cliff (BC).
\( \tan(32) = \frac{h}{135} \)
\(h = 135 \tan(32) \)
\(h = 84.4\)
A botanist wanted to know if the stem lengths of daffodils differed depending on which side of a building they grew on. So she measured all of the flowers on the north, east, south, and west sides of the building and created the following graph:a. For this analysis, what is the explanatory variable? What is the response variable? Foreach variable, provide the type and scale.b. Which building side has the largest range? Which side has the largest IQR?c. On the south side of the building, the first quartile is 43cm, the median is 46cm, andthe third quartile is 48cm. If she goes to the south side and randomly selects threedaffodils, what is the probability that none of them are between 46cm and 48cm?
The probability that none of them are between 46 cm and 48 cm is 0.422
From the given data,
A botanist wanted to know if the stem lengths of daffodils differed depending on which side of a building they grew on.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occurSouth side of the building
First quartile Q1 = 43
Median Q2 = 46
Third quartile Q3 = 48
As we know that first quartile Q1 is 25% mark , Median id 50% mark and third quartile Q3 is 75% mark
25% data's lie between Q1 and Q2 and next 25% between Q2 and Q3.
So the percentage data point lying between median and Q3 is 25% or 0.25.
In a sample of 3 let X be the random variable defining numbers of daffodils lying between 46 cm and 48 cm.
Then X follows Binomial (3 P=0.25)
So, P(X=0)=\({ }^3 \mathrm{C}_0 \times 0.25^0 \times(1-0.25)^3=\frac{3 !}{3 !} \times 1 \times 0.75^3=0.421875 \approx 0.422$\)
Therefore, the probability that none of them are between 46 cm and 48 cm is 0.422
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hi can someone pls help me, it’s confusing
Answer:
options C -x^2/3z
Step-by-step explanation:
this is the correct answer after we cancelled them
Answer:
C
Step-by-step explanation:
This requires you to know the law of quotient for exponents. For this I recommend separating everything with the same variable into its own fraction to make it easier so you have (-2x^4/6x^2), (y^2/y^2), (z/z^2). Then to simplify you divide the coefficients and signs like normal but for the exponents, you subtract the exponent of the numerator from the denominator. This gives
(-x^2 / 3), (1), and ( 1/z), which you can multiple together to get c.
Hope this helps. Ask if you need me to clarify something.
for problems 8–11, determine whether the given expression is a term in the determinant of order 5. if it is, determine whether the permutation of the column indices has even or odd parity and hence find whether the term has a plus or a minus sign attached to it. 8. a11a23a34a43a52. 9. a11a25a33a42a54. 10. a11a32a24a43a55. 11. a13a25a31a44a42.
Inversion pairs: (1, 2), (1, 4), (1, 5), (3, 4), (3, 5)
Since there are 5 inversions, which is odd, the term has a minus sign attached to it.
For problem 8, the expression is a term in the determinant of order 5. To determine the parity of the permutation of column indices, we count the number of inversions. The inversions are as follows:
a11 a23 a34 a43 a52
Inversion pairs: (1, 2), (1, 4), (1, 5), (2, 3), (3, 4), (3, 5), (4, 5)
Since there are 7 inversions, which is odd, the term has a minus sign attached to it.
For problem 9, the expression is also a term in the determinant of order 5. The inversions are as follows:
a11 a25 a33 a42 a54
Inversion pairs: (1, 2), (1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 5)
Since there are 7 inversions, which is odd, the term has a minus sign attached to it.
For problem 10, the expression is not a term in the determinant of order 5 because the column indices do not cover all values from 1 to 5.
For problem 11, the expression is a term in the determinant of order 5. The inversions are as follows:
a13 a25 a31 a44 a42
Inversion pairs: (1, 2), (1, 4), (1, 5), (3, 4), (3, 5)
Since there are 5 inversions, which is odd, the term has a minus sign attached to it.
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Which value of n makes the equation 5/2 (4n-10)+4=2/3(6n-9) true?
9514 1404 393
Answer:
n = 5/2
Step-by-step explanation:
Given
5/2(4n -10) +4 = 2/3(6n -9)
5(2n -5) +4 = 2(2n -3) . . . . . . . simplify a bit
10n -25 +4 = 4n -6 . . . . . . . . . eliminate parentheses
6n = 15 . . . . . . . . . . . . . . . . . . . add 21-4n
n = 15/6 = 5/2
The value of n that makes the equation true is n = 5/2 = 2.5.
Mandy bought a desktop computer system to start her business from home for $4,995. It is expected to depreciate at a rate of 10% per year. How much will her home computer system be worth after 9 years? Round to the nearest hundredth
Mandy's home computer system is expected to be worth $1,576.11.
Mandy's home computer system is expected to depreciate at a rate of 10% per year. After 1 year, the value of the computer system will be 90% of its original value.
After 2 years, it will be worth 90% of that value, or 0.9 × 0.9 = 0.81 times the original value. Continuing in this way, we can write the value of the computer system after n years as \(0.9^n\) times its original value. Thus, after 9 years, the computer system will be worth \(0.9^n\) times its original value:
Value after 9 years = 4995 × \(0.9^n\)
Using a calculator, we find that the value is approximately $1,576.11 when rounded to the nearest hundredth. Therefore, after 9 years, Mandy's home computer system is expected to be worth $1,576.11.
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B) work out (3. 6 * 10 ^ - 5) / (1. 8 * 10 ^ 2) give your answer in standard form.
The expression (3.6 * 10^-5) / (1.8 * 10^2) can be calculated as = 2 * 10^-7
A canonical, normal, or standard form of a mathematical object is a conventional manner of presenting that item as a mathematical expression in mathematics and computer science. It is frequently the one that gives the simplest representation of an item and allows it to be identified in a unique fashion.
A quantity is said to be stated in standard form if it is written as the product of a power of ten and a number higher than or equal to one but less than ten (or scientific notation).
The expression (3.6 * 10^-5) / (1.8 * 10^2) can be calculated as follows:
=3.6 * 10^-5 / (1.8 * 10^2)
= (3.6 / 1.8) * (10^-5 / 10^2)
= 2 * 10^-7
Therefore, the answer in standard form is 2 * 10^-7.
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If Jerry Adams would normally pay $875 for bodily injury
and property damage insurance, find his premium for the
year after he has three accidents.
Answer:
Jerry Adams normally pays $875 for bodily injury and property damage insurance. His insurance company increases premiums by 150% for 1 accident, 200% for 2-3 accidents, and 250% for 4 accidents. Find ... If the probability that he will live through the year is 0.9989, what is the expected value for the insurance policy?
What term is used for statistical techniques that use sample data to draw conclusions about the population from which the sample was obtained
Answer : The term used for statistical techniques that use sample data to draw conclusions about the population from which the sample was obtained is called inferential statistics
Explanation : The term used for statistical techniques that use sample data to draw conclusions about the population from which the sample was obtained is called inferential statistics.
Inferential statistics are used to make generalizations or predictions about a population based on the analysis of a sample.
This is done by taking a sample from the population and using statistical methods to analyze the sample data, which then allows us to make inferences about the population as a whole.Inferential statistics play a crucial role in scientific research, as they allow researchers to draw conclusions about the characteristics of a population based on a representative sample of that population. In order for the inferences to be valid, it is important to ensure that the sample is representative of the population in question.In conclusion, inferential statistics is a powerful tool that allows us to draw meaningful conclusions about populations based on sample data. It is important to use appropriate statistical methods to ensure that the inferences we draw are valid.
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Find the value of x.
Answer:
Step-by-step explanation:
By similar triangles (use the two smaller ones
7 / x = x / 3 Cross multiply
x^2 = 21 Take the square root of both sides
√x^2 = √21
x = √21
At noon, Trevor and Kim start running from the same point. Trevor runs east at a speed of 8 km/h and Kim runs west at a speed of 6 km/h. At what time will they be 21 km apart?
Trevor and Kim will be situated 21 kilometers apart from each other at 1:30 PM. They will be separated by a distance of 21 km when the clock strikes 1:30 in the afternoon.
To determine at what time Trevor and Kim will be 21 km apart, we can set up a distance-time equation based on their relative speeds and distances.
Let's assume that t represents the time elapsed in hours since noon. At time t, Trevor would have traveled a distance of 8t km, while Kim would have traveled a distance of 6t km in the opposite direction.
Since they are running in opposite directions, the total distance between them is the sum of the distances they have traveled:
Total distance = 8t + 6t
We want to find the time when this total distance equals 21 km:
8t + 6t = 21
Combining like terms, we have:
14t = 21
To solve for t, we divide both sides of the equation by 14:
t = 21 / 14
Simplifying, we find:
t = 3 / 2
So, they will be 21 km apart after 3/2 hours, which is equivalent to 1 hour and 30 minutes.
Therefore, Trevor and Kim will be 21 km apart at 1:30 PM.
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an oriental rug is priced $685, but is on clearance for 30% off, what is the price of the rug after the discount and 7% tax
Answer:
$586. 36
Step-by-step explanation:
divide $685 by 5, you get 137, then subtract that from the original price and that is its discounted price. then you can increase it by 7% and you see the difference of tax is $36 so your final answer would be $586. 36! hope it helps lol
1) A builder laying the foundations of a garage wants to be sure he has the walls of the garage are at right angles. The length of the garage is 6m and the width is 5cm.
Explain how measuring the length will check that the walls of the garage meet at right angles.
Answer:
you're thinking about buying a house but you really want to figure out how much area does a house cover what is the the square footage of the house or what is the area of the foundation of the house so right here we have the floor plan of the house and you're tasked with finding its area and you're given the dimensions of a bunch of walls of the house this wall right here is 18 feet this is 8 feet this is 20 feet 20 feet 5 feet 26 feet 15 feet and 25 feet but you're a little confused you know how to find the area of rectangles but how do you find an area of a strange shape like this so I encourage you to pause this video and try to figure out the area of this strange house footprints shape for plan shape using the techniques that you already know about so what you already do know about is how to find the area of rectangles so if we can break this houses floorplan into a series of rectangles and find out the areas of those rectangles then we can figure out the area of this entire house so let's break it into a bunch of simpler rectangles so I could have one rectangle here it has a width of 20 feet and it has a length of 20 feet so that would be a rectangle right over there and we should be able to figure out its area then I could set up another rectangle that has a width of 26 feet and has a length that's it's length right over there and we could think about in a second what that length actually is actually let's think about that how would we figure out what this length actually is well this this length plus 5 feet is going to be the same thing as this length over here is the same as the opposite wall of this of this rectangle so this length Plus 5 feet is 20 feet well this must be 15 feet so this blue rectangle is 15 feet long and 26 feet wide now let's add another rectangle we could have one that's 18 feet long and then goes the entire length of the house goes the entire length of the house like that and you might say wait how do we figure out its width how do we figure out the width of this rectangle well we know that this is 8 feet we know that this is 20 feet and we know that this is 26 feet so the entire width is going to be 26 feet plus 20 feet so 26 plus 20 gets us to 46 plus 8 gets us to 54 feet so this is 54 54 feet right over here did I do that right let's see 8 plus 36 would be 34 plus 20 is 54 feet and then finally we have one last rectangle to deal with this rectangle right over here which is 15 feet long and 25 and 25 feet wide and so now we can calculate the areas of the different rectangles so the total area is going to be the 20 feet by the 20 feet so let's just multiply them so it's going to be 20 times 20 that's this area right over here plus 15 times 26 so plus 15 times 26 that's this area right over there plus 18 times 54 plus 18 times 54 which is this area right over there and then finally plus 15 times 25 plus 15 times 25 which is this area this area right over here so we just have to now evaluate these things so what is 20 times 20 well this is going to be 400 what's 15 times 26 let's multiply it out 26 times 15 6 times 5 is 30 2 times 5 is 10 plus 3 is 13 now I'm going to multiply a 10 times 26 gets us to 260 and you add these two together you get 390 so it's 400 plus 390 now we've got to multiply 18 times 54 54 times 18 so let's do that 54 times 18 8 times 4 is 32 8 times five is 40 plus three is 43 now we're multiplying this 10 times 54 gets us to 540 and we add 2 plus 0 is 2 this 30 plus the 40 gets us to a 70 is or it's a 3 plus a 4 in the tens place and then 400 plus 500 is 900 so we get to 972 and one more of these multiplications 25 times 25 times 15 and actually we could do that in our head this is 26 times 15 so 25 times 15 is going to be this minus 15 so it's going to be 300 you see if you subtract 10 you get to 380 subtract another 5 375 let me do it in that same color so plus plus 375 and now let's add up these numbers so we have 375 plus 972 plus three hundred and ninety 390 plus 400 plus 400 and so this gets us to five this is the homestretch we deserve a drum roll now 5 plus 2 is 7 7 plus 7 is 14 plus 9 is 23 2 plus 3 is 5 plus 9 is 14 17 21 so the square footage of this house 2137 square square feet
How many two-letter strings— the first letter from A and the second letter from B— Can be formed from the sets:
A= {b, c, d} and
B= {a, e, i, o, u}
Penny earned a 74% on her first test. If each test has 100 points, what must she earn on her next test to achieve an average of at least 80%?
Step-by-step explanation:
the mean value is average is the sum of all data divided by the number of data points.
with the second test she will have 2 data points.
the first was 74 points (74% of 100 points = 74 points).
x = 2nd test result
(74 + x)/2 = 80
74 + x = 160
x = 86
she must earn 86% on her second test to achieve an average score of 80%.
I know that this is simple algebra but I am asking for your help step by please will mark brainliest for who gets this right.
Answer: Y= -9 + 3x/2
Step-by-step explanation: Down below Have a brilliant day-Lily ^_^
What does 0=0 indicate about the solutions of the system?
Answer:
If you end up with 0=0 that indicates that both of the equations are for the same line, meaning there infinite solutions.
Answer: If the elimination produces the equation 0=0, then the two equations are for the same line. This means that there are an infinite number of solutions.We reach a case like 0 = 0 when the equation are similar or same in the system of linear equations.
In a math class with 23 students, a test was given the same day that an assignment was due. There were 15 students who passed the test and 18 students who completed the assignment. There were 13 students who passed the test and also completed the assignment. What is the probability that a student chosen randomly from the class failed the test and did not complete the homework?
Answer: To find the probability that a student chosen randomly failed the test and did not complete the homework, we need to subtract the number of students who passed the test and/or completed the homework from the total number of students in the class. Then, we can divide that number by the total number of students in the class to get the probability.
To start, we can use the information given in the problem to create a Venn diagram:
```
Test
|------|------|
| | |
Fail | | |
| | |
--------|------|------|
| | |
| | |
Pass | | |
Assignment|------|------|
| | |
| | |
```
From the diagram, we can see that the number of students who failed the test and did not complete the homework is the number of students outside the intersection of the two circles. To find this number, we can add the number of students who passed the test but did not complete the homework to the number of students who completed the homework but did not pass the test, and then subtract the number of students who passed the test and completed the homework:
Number of students who failed the test and did not complete the homework = (Number of students who passed the test but did not complete the homework) + (Number of students who completed the homework but did not pass the test) - (Number of students who passed the test and completed the homework)
Number of students who failed the test and did not complete the homework = (15 - 13) + (18 - 13) - 13
Number of students who failed the test and did not complete the homework = 4
Therefore, there are 4 students who failed the test and did not complete the homework.
To find the probability of choosing one of these students at random, we can divide the number of students who meet both conditions by the total number of students:
Probability of choosing a student who failed the test and did not complete the homework = Number of students who failed the test and did not complete the homework / Total number of students
Probability of choosing a student who failed the test and did not complete the homework = 4 / 23
Probability of choosing a student who failed the test and did not complete the homework ≈ 0.17
Therefore, the probability that a student chosen randomly from the class failed the test and did not complete the homework is approximately 0.17, or 17% (rounded to two decimal places).
Find the median of the data set.2, 33, 23, 37, 45, 5, 49, 27, 48
Answer:
MEDIAN: 33Step-by-step explanation:
The median is the middle number of the data set.
So first we have to arrange all of the numbers from least to greatest order.
2, 33, 23, 37, 45, 5, 49, 27, 48
arranged order:
2, 5, 23, 27, 33, 37, 45, 48, 49
all you need to do is to find the middle number of the data set
(note: the data set is the group of numbers listed altogether)
2, 5, 23, 27, 33, 37, 45, 48, 49
median: 33
hope you find this answer helpful
have a great night, day, or afternoon :)
on any given day when i am on vacation, the chance i run is 25%. on any given day when i am not on vacation, the chance i run is 50%. the chance i run on any given day is 40%. on a randomly chosen day, what is the probability i run or i am on vacation?
This means that there is a 50% probability that you run or are on vacation on a randomly chosen day.
To find the probability that you run or are on vacation on a randomly chosen day, we can use the principle of inclusion-exclusion.
The probability that you run on any given day is 40%. The probability that you are on vacation on any given day is not given, but we know that the probability that you run on any given day when you are on vacation is 25%.
We can use these probabilities to set up the following equation:
P(run or vacation) = P(run) + P(vacation) - P(run and vacation)
Substituting the given probabilities, we get:
P(run or vacation) = 40% + P(vacation) - (40% * 25%)
We can simplify this equation to get:
P(run or vacation) = 40% + P(vacation) - 10%
We can rearrange the terms to solve for P(vacation):
P(vacation) = P(run or vacation) - 40% + 10%
Substituting the given probability P(run or vacation) = 40%, we get:
P(vacation) = 40% - 40% + 10% = 10%
Therefore, the probability that you are on vacation on a randomly chosen day is 10%. The probability that you run or are on vacation on a randomly chosen day is the sum of these probabilities:
P(run or vacation) = 40% + 10% = 50%
This means that there is a 50% probability that you run or are on vacation on a randomly chosen day.
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Katie wants to buy a bicycle that costs $200. This is
$20 more than twice what she saved last month. How
much did she save last month?.
Find the number,
Answer:180
Step-by-step explanation: subtract the 200 that is worth of the bike
and by the amount that is more than she had from last month and there will be your answer! hope it helps!
In the first quadrant, you start at (2,3) and move 2 units right and 1 units up what point will you end up on
Answer:
(4, 4)
Step-by-step explanation:
On the Cartesian plane, values on the x-axis increase to the right, and values on the y-axis increase as you go vertically upwards.
x-coordinate = 2
y-coordinate = 3
•Moving 2 units to the right adds 2 to the x-coordinate.
∴ new x-coordinate = 2 + 2 = 4
• Moving 1 unit up adds 1 to the y-coordinate.
∴ new y-coordinate = 3 + 1 = 4
∴ You will end up on the point (4, 4).
Identify the slope and y-intercept of the function y = -8x + 1. OA. The slope is 1. The y-intercept is (0, -8). OB. The slope is 8. The y-intercept is (0, 1). O C. The slope is 1. The y-intercept is (0,8). O D. The slope is -8. The y-intercept is (0, 1).
Answer:
d is the answer
Step-by-step explanation:
y=mx+b
m being the slope and b being the y intercept
Which equation matches the table? (I have a screenshot)
If I get this wrong I will lose my 57 streak :(
Answer:
b-2a
Step-by-step explanation:
this is beacuse when u find the slope u look in the chart and divide the numbers and will give u the sum of 2
8/4
8/12
12/16
Answer:
b=a+4
Step-by-step explanation:
Its a 58 streak now :)
Solve the system.
4x + 3y = 10
9x - 4y= 1
After solving the given equations, the value obtained for x and y will be equal to (1, 2).
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given equations in the question,
4x + 3y = 10 (i)
9x - 4y = 1 (ii)
Multiply equation (i) by 9 and multiply equation (ii) by 4
36x + 27y = 90
36x - 16y = 4
A similar term of x will cancel out from here.
y = 86/43
y = 2
Put y = 2 in equation (i)
4x + 3(2) = 10
4x = 4
x = 1
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