Answer:
Step-by-step explanation:
1. 10^2+7^2=x^2
x=sqrt(149)
2. 21^2-19^2=x^2
x=sqrt(80)
3. This is all pythagorean theorem busywork, a^2+b^2=c^2 where c is the hypotenuse of the triangle. I think from my examples you should be able to figure the rest out.
By selling an article for $96 a profit of $16 was made on the cost price. The profit as a percentage of the cost price is
(a)16% (b)17% (c)20% (d)25%
Answer:
answer is b with 17%
Step-by-step explanation:
convert the percents given to decimals then multiply it with 96$, whichever one gets 16$ is your answer. 0.17 x 96 = 16.32, round it equals to 16$
I need to do this no silly answers tho I’ll mark ❗️Brainlyist❗️ if answered correctly!!!
Answer:
that will be 270 ÷ 3 boy.....
Answer:
A
Step-by-step explanation:
\(3x \geqslant 270 \\ x \geqslant \frac{270}{3} \\ x \geqslant 90\)
evaluate the integral by interpreting it in terms of areas. part 1 of 3 we are concerned with the segment of the line y = 3 2 x − 6 that begins at (0, −6) and that ends at 5, 3/2 3/2
Therefore, The integral would be ∫[0,5] (3/2)x - 6 dx. Integrating this equation would give us the area of the region under the curve.
Explanation: To evaluate the integral by interpreting it in terms of areas, we need to find the area of the region under the curve. For part 1 of 3, we are given a segment of the line y = (3/2)x - 6 that begins at (0, -6) and ends at (5, 3/2).
To find the area of this region, we need to integrate the equation from x = 0 to x = 5. The integral would be:
∫[0,5] (3/2)x - 6 dx
Integrating this equation would give us the area of the region under the curve.
To evaluate the integral by interpreting it in terms of areas, we need to find the area of the region under the curve. For part 1 of 3, we are given a segment of the line y = (3/2)x - 6 that begins at (0, -6) and ends at (5, 3/2). To find the area of this region, we need to integrate the equation from x = 0 to x = 5.
Therefore, The integral would be ∫[0,5] (3/2)x - 6 dx. Integrating this equation would give us the area of the region under the curve.
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13. It takes Sofia 80 minutes to drive home at 40km/h. How long will it take her to drive home at 60 km/h
Answer:
120 minutes
Step-by-step explanation:
20km/h=40mins
20×3=60
40×3=120
How many kilometres is 6.5cm
Answer:
0.000065 km
Step-by-step explanation:
To get from cm to km you need to divide 6.5 by 0.000001 which equals 0.000065km
the pta wants to cover the wet areas of the trail with wood chips. they find that one bag of wood chips covers 3 1/2-yard section of the trail. if there is a wet section of the trail that is approximately 50 1/4 yards long, how many bags of wood chips are needed to cover the wet section of the trail?
PLEASE THIS IS DUE IN 1 HOUR
Ruben and his friends are celebrating Ruben's birthday at Adventure Zone, which has trampolines, mini golf, laser tag, and an arcade. Ruben's mom gives 18 arcade tokens to each kid at the party. In all, she gives out 144 tokens.
Use an equation to find the number of kids at Ruben's party.
The number of kids that are at Ruben's party will be 8 kids.
Let the number of kids at the party be represented by x.Number of arcades token given to each person = 18Total number of arcade tokens given out = 144Based on the information given, the equation to solve the question will be:
18 × x = 144
18x = 144
x = 144/18
x = 8
Therefore, there are 8 kids at the party.
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For each function, find the inverse and the domain and range of the function and its inverse. Determine whether the inverse is a function.
f(x)=-x²+1
The inverse of f(x) is f⁻¹(x) = ± √(-x+1). The inverse is not a function due to the presence of two possible values for y.
Given the function,
f(x)=-x²+1
To find the inverse of the function, interchange x and y. Then solve for y.
x = -y²+1y² = -x+1y = ± √(-x+1)
Now the inverse of f(x) is f⁻¹(x) = ± √(-x+1)
Now, to find the domain and range of the function and its inverse:
Domain of f(x) is all real numbers
Domain of f⁻¹(x) is x ≤ 1
Range of f(x) is (-∞, 1]
Range of f⁻¹(x) is all real numbers
Hence, the domain of the inverse is not a function because there are two values of y for each value of x, and the range of the original function is not the same as the domain of its inverse, thus the inverse is not a function.
Domain of f(x) is all real numbers
Domain of f⁻¹(x) is x ≤ 1Range of f(x) is (-∞, 1]
Range of f⁻¹(x) is all real numbers
Inverse is not a function.
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It cost Kaylee $7.26 to send 66 text messages. How much does each text cost to send?
Answer:
0.11
Step-by-step explanation:
7.26 / 66 = 0.11
hope this helps <3
25 POINTS!!!!!!
PLEASE HELP
Graph the function f(x)=3/2x−4.
Use the line tool and select two points to graph
Answer:
put it on the x,y line
Step-by-step explanation:
A classroom floor is 20 metres wide.
If the total area of the floor is 300 square metres, how long is it?
Answer:
It is 15 m long.
Step-by-step explanation:
Given
width (b) = 20 m
Area of the floor (A) = 300 m^2
Length (L) = ?
we know
A = L * b
300 = L * 20
L = 15 m
Hope it will help :)
If the dot indicates the center of the circle, which equation must be true?
If the dot indicates the center of the circle, the equation that must be true is
C. angle A + angle B = 180 degreesWhat is angle on a semi circle?The diameter of the semicircle is shown by line segment bearing the dot at the center.
By drawing a line from each end of the diameter to any location on the semicircle, the inscribed angle is created anywhere you perform this is a 90-degree angle will result.
This mean that angle B = angle A = 90 degrees
hence there addition is 180 degrees
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21. Describe a real-life situation that can be modeled by an absolute-value equation
with the solutions x = 5 and x = 10.
Will give Brainly
The absolute value of a number returns the positive value of the given number. A real life situation that describes the scenario is:
"the point which a boy stands if the boy is standing 2.5 meters away from the 7.5 meters point."
Given that:
\(x = 5\ or\ x = 10\)
An example of real life situation is as follows:
Calculate the point which a boy stands if the boy is standing 2.5 meters away from the 7.5 meters point.
Represent the point at which the boy stays with x. So, the situation is represented as:
\(|x - 7.5| = 2.5\)
Remove absolute brackets
\(x - 7.5 = 2.5\ or\ x - 7.5 = -2.5\)
Solve for x
\(x = 7.5+2.5\ or\ x = 7.5-2.5\)
\(x = 10\ or\ x = 5\)
Hence, the value of x is 5 or 10
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Ellora wants to accumulate $150000.00 in an RRSP by making annual contributions of $5000.00 at the beginning of each year. If interest is 5.5% compounded quarterly, calculate how long she has to make contributions.
a. 18.202125
b. 18.676765
c. 17.455483
d. 17.585794
e. 18.076686
Option A is the correct answer. Ellora wants to accumulate 150,000 in an RRSP by making annual contributions of 5,000 at the beginning of each year. If interest is 5.5% compounded quarterly, calculate how long she has to make contributions.
First, we have to find the interest rate per quarter, which will be
\(5.5% / 4\)= 1.375%.
The formula for the future value of an annuity is:
\(FV = (C * [(1 + r)^n - 1] / r)\),
For Ellora, \(FV = $150,000, C = $5,000, and r = 1.375%.\)
Substituting these values into the formula gives:
\(150,000 = 5,000 * [(1 + 0.01375)^n - 1] / 0.01375\)
Simplifying this equation gives:
\(30 = [(1.01375)^n - 1]\)
We can solve this using logarithms:
\(ln 30 = ln [(1.01375)^n - 1]\)
\(ln 30 = n * ln 1.01375 - ln 1.01375e^(ln 30) / e^(-ln 1.01375) = n18.202125 = n\)
Therefore, it will take Ellora 18.202125 years to accumulate 150,000 in her RRSP through \($5,000\)annual contributions made at the beginning of each year with interest of \(5.5%\) compounded quarterly.
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riangle ABC and XYZ are similar. If AB = 6 in., BC = 13 in., AC = 14 in., and XY = 10in., what is XZ?
or
A music student is cataloging some songs and noting the length of each. The 5 songs have lengths of:
The mean absolute deviation for the song length's is given as follows:
1.8 minutes.
What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.The deviations in a data-set are the absolute value of the difference between each observation and the mean.Hence the mean absolute deviation (MAD) is obtained as the mean of all the deviations.The MAD represents the average by which the values differ from the mean.The mean for the lengths in this problem is given as follows:
M = (5 + 7 + 8 + 1 + 5)/5
M = 5.2.
Hence the deviations are:
0.2, 1.8, 2.8, 4.2, 0.2.
Meaning that the mean absolute deviation is given as follows:
MAD = (0.2 + 1.8 + 2.8 + 4.2 + 0.2)/5
MAD = 1.8 minutes.
Missing InformationThe problem is given by the image presented at the end of the answer.
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do these data indicate that the mean age of british men at the time of marriage exceeds the mean age in 2013? test this hypothesis at . what is your conclusion? use the obtained rounded values in your calculations.
If the p-value is less than α (0.05), we reject the null hypothesis in favor of the alternative hypothesis.
To begin, let's calculate the mean age for the sample data provided. We have a sample size of 47 recently wed British men, and we need to find the sample mean and sample standard deviation.
To find the sample mean, we sum up all the ages and divide it by the sample size (47):
Sample Mean = (30 + 28 + 40 + ... + 33 + 31 + 25) / 47
Now that we have the necessary statistics, we can proceed with hypothesis testing. We will compare the mean age of the sample data to the mean age in 2013 (which was reported as 32.0) and test whether the difference is statistically significant.
Null Hypothesis (H0): The mean age of British men at the time of marriage is not significantly different from the mean age in 2013.
Alternative Hypothesis (Ha): The mean age of British men at the time of marriage has increased compared to the mean age in 2013.
To test this hypothesis, we will calculate the t-value and the p-value.
The t-value represents the difference between the sample mean and the hypothesized population mean (mean age in 2013) relative to the variability in the sample.
t-value = (Sample Mean - Population Mean) / (Sample Standard Deviation / √n)
In this case, the Population Mean is 32.0 (mean age in 2013), and n is the sample size (47). Plug in the values to calculate the t-value.
To calculate the p-value, we need to consult a t-distribution table or use statistical software. The p-value is the probability of observing a t-value as extreme as the one calculated in Step, given the degrees of freedom (df) associated with the t-distribution.
Finally, we compare the p-value to the significance level (α) to make a conclusion. If the p-value is less than α (0.05), we reject the null hypothesis in favor of the alternative hypothesis. If the p-value is greater than or equal to α, we fail to reject the null hypothesis.
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Complete Question:
Data from the Office for National Statistics show that the mean age at which men in Great Britain get married was 32.0. A news reporter noted that this represents a continuation of the trend of waiting until a later age to wed. A new sample of 47 recently wed British men provided their age at the time of marriage. These data are contained in the Excel Online file below. Construct a spreadsheet to answer the following questions. Do these data indicate that the mean age of British men at the time of marriage exceeds the mean age in 2013? Test this hypothesis at.
What is your conclusion? Use the obtained rounded values in your calculations.
Data Set:
30 28 40 34 35 26 37 33 25 30 27 31 31 30 34 28 30 35 25 40 31 29 33 32 25 29 39 39 26 27 36 28 36 25 38 34 27 28 40 32 27 28 40 28 33 31 25
A class has 4 sections P, Q, R and S, with their average weights of the students in them are 45lb, 50lb, 55lb and 65lb, respectively. What is the maximum possible number of students in section R if there are 40 students in all sections combined and the average weight of the all students across all the sections is 55lb
Therefore , the solution of the given problem of median comes out to be R students still present (maximum) =35
Explain median.The number that precisely falls in the center of a sorted collection is the median value. An average or maximum probability metric is the difference between the initial and final 50% of the data. Different algorithms are employed to compute the average and mode depending on if you do have an unusual or perhaps even number of data points.
Here,
Median is 55
P :Q: R :S :average of 45 :50: 55 :65
The number of pupils within every section needs to be as low as possible
R is a mean
P differs by 1: 10 from the mean.
Q is 1.5 away from the mean.
Then S will just have three students, or three times five, to keep the population's mean constant.
R students still present (maximum):
=> 40 - 1- 1-3
=> 35
Therefore , the solution of the given problem of average comes out to be R students still present (maximum) =35
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Help me solve this problem please
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
I dont have an explanation, sorry
whats the sum to 4/6 4/6
In the given problem, the sum of \(\frac{4}{6}\) and \(\frac{4}{6}\) is \(\frac{4}{3}\).
The sum is the result of adding two or more numbers or terms. In other words, it is the process of bringing two or more numbers together to produce a new result or total. The symbol for the sum is "+".
The sum can be performed on any kind of number, including whole numbers, integers, rational numbers, real numbers, and complex numbers. The rules for addition are the same for all types of numbers.
To find the sum of \(\frac{4}{6}\) and \(\frac{4}{6}\),
\(\frac{4}{6}\) + \(\frac{4}{6}\) = 2 \(\times \ \frac{4}{6}\)
= \(\frac{4}{3}\).
So, \(\frac{4}{6}\) + \(\frac{4}{6}\) = \(\frac{4}{3}\).
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At the end of each month, Bill analyzes his extra expenses for the year. In April, he has 900 dollars
remaining in his account for extra expenses. He is spending 75 dollars each month. Write an equation in
point-slope form for Bill's finances. Let January be x= 1. Convert the equation into slope-intercept forn
Answer:
12
Step-by-step explanation:
900 divide by 75 = 12
The equation in slope-intercept form for Bill's finances is \(\(y = -75x + 975\).\) This equation represents the amount of money remaining in Bill's account for extra expenses at the end of each month.
Let's assume the number of months passed since January as "m" and the amount of money remaining in Bill's account for extra expenses at the end of each month as "y".
We are given the following information: In January (x = 1), Bill has not started spending yet, so he has all his expenses available. Therefore, at the beginning of January, he has $900 (y = 900) remaining for extra expenses.
Each month, Bill spends $75 on extra expenses. So, as the number of months increases, the remaining amount decreases.
Now, let's set up the equation in point-slope form using the point (1, 900) and the slope (-75): \(\[y - y_1 = m(x - x_1)\]\)
where:
\(\(y_1 = 900\) (remaining amount in January)\\\(m = -75\) (slope, indicating $75 reduction each month)\\\(x_1 = 1\) (January)\\\)
Now plug in the values: \(\[y - 900 = -75(x - 1)\]\)
Next, let's simplify the equation and convert it to slope-intercept form (y = mx + b) where "b" represents the y-intercept (the remaining amount when x = 0, i.e., the start of the year).
\(\[y - 900 = -75x + 75\]\)
To isolate "y," add 900 to both sides: \(\[y = -75x + 975\]\)
So, the equation in slope-intercept form for Bill's finances is \(\(y = -75x + 975\).\) This equation represents the amount of money remaining in Bill's account for extra expenses at the end of each month.
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A school purchased sand to fill a sandbox on its playground. The dimensions of the sandbox in meters and the total cost of the sand in dollars are known. Which units would be most appropriate to describe the cost of the sand?
The most appropriate units to describe the cost of the sandbox would indeed be dollars.
When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.
Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.
Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.
Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.
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what is 14 divided by 3?
Answer:
14 divided by 3 would be 4.67
Step-by-step explanation:
given list: ( 6, 13, 14, 30, 38, 50, 60, 72, 76, 87, 90, 92 ) ex: 42, 32, 12 which list elements will be compared to key 60 using binary search? enter elements in the order checked.
Using binary search to find the key 60 in the given list, the elements compared in order are: 38, 76, 60.
1. We start by comparing the key (60) to the middle element of the list, which is 38. Since 60 is greater than 38, we know that the key must be in the second half of the list.
2. Next, we compare the key to the middle element of the second half of the list, which is 76. Since 60 is less than 76, we know that the key must be in the first half of the second half of the list.
3. We then compare the key to the middle element of the first half of the second half of the list, which is 50. Since 60 is greater than 50, we know that the key must be in the second half of the first half of the second half of the list.
4. Next, we compare the key to the middle element of the second half of the first half of the second half of the list, which is 72. Since 60 is less than 72, we know that the key must be in the first half of the second half of the first half of the second half of the list.
5. Finally, we compare the key to the middle element of the first half of the second half of the first half of the second half of the list, which is 60. Since 60 is equal to 60, we have found the position of the key in the list.
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Identify the value of x that makes each pair of ratios equivalent. 6. 6 to 8 and 18 to x (1 painf ) 20 22 24
The value of x that makes the ratios 6:8 and 18:x equivalent is 24.
To find the value of x that makes the ratios equivalent, we can set up a proportion using the given ratios. The proportion would be:
6/8 = 18/x
To solve this proportion, we can cross-multiply:
6 * x = 8 * 18
Simplifying further:
6x = 144
Dividing both sides of the equation by 6:
x = 24
Therefore, the value of x that makes the ratios 6:8 and 18:x equivalent is 24.
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Writing and Solving Expressions -
General admission to the fair is $8.00, and rides cost $3.00 each.
a. Write an expression to represent the cost for Zachary to attend the fair and go on r rides.
b. Evaluate the expression to find his total cost if he goes on 6 rides.
Answer:
The expression would be 8 + 3r
Step-by-step explanation:
You'd then subsitute the r for 6 making the expression 8 +3(6) = 24.
Mia gets 15 out of 18 questions correct on a test. What is the ratio of correct
answers to the total number on the test in simplest form?
Answer:
5/6
Step-by-step explanation:
it's a 15:18 ratio, just needs simplification
HELP THIS IS DUE SOON 30 POINTS
Answer:
x = 4
Step-by-step explanation:
f(x) = 4x-5
11 = 4x-5
4x-5 = 11
4x = 11+5
= 16
x = 16÷4
= 4
Factor the expression:
12x^2-4x-40
Answer:
4(3x+5)(x-2)
Step-by-step explanation:
\(12x^2-4x-40\\\\\mathrm{Factor\:out\:common\:term\:}4:\\\quad 4\left(3x^2-x-10\right)\\\\\mathrm{Factor}\:3x^2-x-10:\quad \left(3x+5\right)\left(x-2\right)\\\\=4\left(3x+5\right)\left(x-2\right)\)
A yacht travels 20 miles in 60 minutes. How far does the yacht travel per minute? *