Find the area of a square with side length x when x is equal to the given value. Are the area of a square and the length of its side directly proportional? Justify your answer. b x=10 in. PLS HELP WILL MARK AS BRIANLIEST PLSS
Answers
Given:
Side length of square is x = 10 in.
To find:
Area of a square with side length x when x = 10 in.
Check whether the area of a square and the length of its side directly proportional.
Solution:
Area of square is
\(Area=(side)^2\)
\(Area=x^2\)
For x=10, we have
\(Area=(10)^2\)
\(Area=100\)
Therefore, the area of square is 100 sq. in. when x=10 in.
For x=1,
\(A_1=1^2=1\)
\(\dfrac{A_1}{x_1}=\dfrac{1}{1}=1\)
For x=2,
\(A_2=1^2=4\)
\(\dfrac{A_2}{x_2}=\dfrac{4}{2}=2\)
Here, \(\dfrac{A_1}{x_1}\neq \dfrac{A_2}{x_2}\).
Since, \(Area=(side)^2\) and ratio of area and sides are not always same, therefore the area of depends on the side but not directly proportional to its side.
Related Questions
Questions on Venn diagram
Answers
Answer:
Ur question?
Step-by-step explanation:
Answer:
What is the question
Step-by-step explanation:
what is the approach to test the hypotheses using the binomial distribution for both non-directional and directional cases
Answers
To test hypotheses using the binomial distribution, set up hypotheses, determine the significance level, calculate critical values or p-values, and compare them to the significance level to make a decision.
To test hypotheses using the binomial distribution, we can follow these approaches for both non-directional and directional cases:
Non-Directional (Two-Tailed Test):Set up the null hypothesis (H₀) and alternative hypothesis (H₁) based on the research question.
Determine the significance level (α) for the test.
Calculate the critical values or the rejection regions based on the significance level.
Collect the sample data and calculate the observed test statistic (such as the number of successes in a fixed number of trials).
Calculate the p-value, which is the probability of obtaining a test statistic as extreme as the observed one under the null hypothesis.
Compare the p-value to the significance level. If the p-value is less than or equal to α, reject the null hypothesis. Otherwise, fail to reject the null hypothesis.
Directional (One-Tailed Test):Set up the null hypothesis (H₀) and alternative hypothesis (H₁) based on the research question, specifying the direction of the expected effect.
Determine the significance level (α) for the test.
Calculate the critical value or the rejection region for the specified direction.
Collect the sample data and calculate the observed test statistic.
Calculate the p-value for the specified direction.
Compare the p-value to the significance level. If the p-value is less than or equal to α, reject the null hypothesis. Otherwise, fail to reject the null hypothesis.
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Which of the following statements about the mean absolute deviation (MAD) is the most accurate? A. It is the square root of the standard deviation. B. It can be a positive number or a negative number. C. It is measured in the same units as the original data. D. It is the arithmetic mean of the squared deviations from the mean.
Answers
The most accurate statement about the mean absolute deviation (MAD) is that it is measured in the same units as the original data. MAD is the arithmetic mean of the absolute deviations from the mean, which means that it measures the average distance between each data point and the mean. It is different from standard deviation, which measures the spread of the data around the mean, and is calculated by taking the square root of the arithmetic mean of the squared deviations from the mean. MAD can only be a positive number, as it measures distances. Therefore, the correct answer is C.
C. It is measured in the same units as the original data.
The mean absolute deviation (MAD) is a measure of dispersion or variability in a dataset. It is calculated by finding the arithmetic mean of the absolute deviations from the mean of the dataset. Since the absolute deviations are in the same units as the original data, the MAD is also measured in the same units as the original data.
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(07.01)How many solutions can be found for the equation 4x = 4x?
O Zero
O One
Two
Infinitely many
Answers
Answer:
Infinitely many
Brainliest?
An insect's head accounts for approximately 60% of its total mass. If the insect weighs 40 g, what is the mass
of its head?
Answers
Answer:
24 g
Step-by-step explanation:
60/100x40
2400/100
24
You have 50 rolls of fencing that are each 15 1/2 feet long. What is the total length of fencing? Feet
Answers
Answer:
775 feet.
Explanation:
• The number of rolls of fencing = 50
,• The length of each roll = 15 1/2 ft.
To find the total length of fencing, multiply the number of rolls by the length of each roll.
\(\text{Total Length}=50\times15\frac{1}{2}\)Change the mixed fraction to an improper fraction.
\(\begin{gathered} =50\times\frac{(2\times15)+1}{2} \\ =50\times\frac{30+1}{2} \\ =50\times\frac{31}{2} \\ =25\times31 \\ =775\; ft \end{gathered}\)The total length of fencing is 775 feet.
Determine whether the equation represents an exponential function. Explain. Y= -3^x
Answers
The exponential function y = (- 3)ˣ is represent the exponential decay.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ y = (- 3)ˣ
Now, We know that;
⇒ y = bˣ is an exponential function
if b > 1 it is growing
if b < 1 , then it is decreasing (decay).
Here, The function is,
⇒ y = (- 3)ˣ
By compare we get;
b = - 3 < 1
Hence, The exponential function y = (- 3)ˣ is represent the exponential decay.
Thus, The exponential function y = (- 3)ˣ is represent the exponential decay.
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PLEASE HELP ASAP !!! DUE BY THE END OF THE NIGHT (LOOK AT PICTURE)
Answers
Answer:
B. 1/8
Step-by-step explanation:
Chance of each number = 1
Total number of chances = 8 (including 0)
Therefore,
Chance that each number will occur = 1/8
Hope it helps:)
Have a good day!
For a filed trip the school bought 47 sandwiches for $40.60 each and 39 bags of chips for $1.25 each. How much did the school spend in all?
Answers
Answer:
$1,956.95
Step-by-step explanation:
The school bought 47 sandwiches for $40.60
= 47 × 40.60
= 1,908.2
They also bought 39 bags of chips for $1.25
= 1.25×39
= 48.75
Therefore the total amount spent can be calculated as follows
= 48.75 + 1,908.2
= 1,956.95
Hence the total amount spent by the school is $1,956.95
in a simple linear regression model (one independent variable), if we change the input variable by 1 unit. how much output variable will change?
Answers
In a simple linear regression model , if we change the input variable by 1 unit , output variable will change by its slope.
What is linear regression?
According on the value of another variable, a variable's value can be predicted using a linear regression analysis. The dependent variable is the one you're trying to forecast. The term "independent variable" refers to the variable you are using to forecast the value of the other variable.
Main Body:
For linear regression
Y=a + bx + error
If we neglect error
then Y=a + bx.
If x increases by 1
then Y = a +b(x+1) which implies
Y=a + bx + b.
So Y increases by its slope.
Hence their is an increase in the slope in y.
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20 points please hurry
Ruby is visiting San Francisco. From her hotel she walks 1 block east and 2 blocks south to a coffee shop. Then she walks 2 blocks west and 3 blocks south to a
museum. Where is the museum in relation to her hotel?
The museum is block(s) and block(s) of her hotel.
Answers
Answer:
5 blocks south and 1 block west ( I think that's right sorry if its wrong I'm heading off to bed)
the volume of the solid obtained by rotating the region enclosed by y=1/x4,y=0,x=2,x=4 y=1/x4,y=0,x=2,x=4 about the line x=−2x=−2 can be computed using the method of cylindrical shells via an integral
Answers
The volume of the solid obtained by rotating the region enclosed by `y = 1/x^4, y = 0, x = 2, x = 4` about the line `x = −2` using the method of cylindrical shells via an integral is `π/48`. The answer is greater than 100 words.
The given region is enclosed by `y = 1/x^4, y = 0, x = 2, x = 4`.Now, we need to rotate this region about the line `x = −2`.Therefore, we will shift the given region `2` units to the right side of the `y-axis` and then rotate it about the line `x = 0` which is easy to do. We can then use the method of cylindrical shells to find the volume of the solid obtained. The graph of the given region is shown below:
The first step in using the cylindrical shells method is to find the formula for the volume of a cylindrical shell. The formula is given as follows: `V = 2πrhΔx`, where `h` is the height of the cylindrical shell, `r` is the radius of the cylindrical shell, and `Δx` is the thickness of the cylindrical shell.
In this case, the height of the cylindrical shell is given by `h = y = 1/x^4`, the radius is given by `r = x + 2`, and the thickness is given by `Δx = dx`.
Therefore, the formula for the volume of a cylindrical shell is given by `V = 2π(x + 2)(1/x^4)dx`.Now, to find the total volume of the solid obtained by rotating the region about the line `x = −2`, we need to integrate the above formula from `x = 2` to `x = 4`. That is, `V = ∫2^4 2π(x + 2)(1/x^4)dx`.
Simplifying this integral, we get:`V = 2π∫2^4 (x + 2)(1/x^4)dx``V = 2π∫2^4 (x^(-4) + 2x^(-5))dx``V = 2π(-1/3x^3 - x^(-4))|2^4``V = 2π[(1/48) - (1/192)]``V = π/48`.
Therefore, the volume of the solid obtained by rotating the region enclosed by `y = 1/x^4, y = 0, x = 2, x = 4` about the line `x = −2` using the method of cylindrical shells via an integral is `π/48`.
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I need help pls answer:
Express in simplest form:
4(X^2-1)-(X^2-8x-5)
Answers
Answer:
3x² + 8x + 1
Step-by-step explanation:
Given
4(x² - 1) - (x² - 8x - 5) ← distribute both parenthesis
= 4x² - 4 - x² + 8x + 5 ← collect like terms
= 3x² + 8x + 1
Find the value of x. PLEASE HELP I NEED THIS ANSWER.
Answers
Answer:
Solution:
Hence the value of x=4
15 less than twice the sum of 61
Answers
Answer: 38
Explanation the answer is 38
the voltage produced by the colorimeter is __________ to the absorbance of the sample and ____________ to the light intensity.
Answers
The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.
What is voltage?When charged electrons (current) are forced through a conducting loop by the weight of an electrical raceway power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).
Here,
The voltage generated by the uv spectrophotometer is inversely proportionate to the amount of light present and linearly proportional to the sample's absorbance.
This indicates that as the sample's absorbance rises, so does the energy the colorimeter generates.
Similar to this, the voltage generated by the colorimeter rises as light strength falls.
The Beer-Lambert Law, which says that a sample's absorbance is directly proportional to its concentration of the absorbing substance and its path length and inversely proportional to incident light intensity, describes this connection.
The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.
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kwan buys a bag of cookies that contains 6 chocolate chip cookies, 5 peanut butter cookies, 4 sugar cookies and 7 oatmeal raisin cookies. what is the probability that kwan randomly selects a sugar cookie from the bag, eats it, then randomly selects another sugar cookie?
Answers
The probability that Kwan randomly selects a sugar cookie from the bag, eats it, and then randomly selects another sugar cookie is 12 / 22C2.
The probability that Kwan randomly selects a sugar cookie from the bag, eats it, and then randomly selects another sugar cookie can be calculated by dividing the number of ways to select two sugar cookies by the total number of ways to select any two cookies.
Step-by-step explanation:
1. Determine the number of ways to select two sugar cookies: There are 4 sugar cookies in the bag, so the number of ways to select the first sugar cookie is 4. After eating the first sugar cookie, there are 3 sugar cookies left, so the number of ways to select the second sugar cookie is 3. Therefore, there are 4 * 3 = 12 ways to select two sugar cookies.
2. Determine the total number of ways to select any two cookies: There are a total of 6 + 5 + 4 + 7 = 22 cookies in the bag. So, the number of ways to select any two cookies is calculated by choosing 2 cookies out of 22, which is denoted as 22C2.
3. Calculate the probability: To find the probability, divide the number of ways to select two sugar cookies by the total number of ways to select any two cookies.
Probability = (Number of ways to select two sugar cookies) / (Total number of ways to select any two cookies)
Probability = 12 / 22C2
So, the probability that Kwan randomly selects a sugar cookie from the bag, eats it, and then randomly selects another sugar cookie is 12 / 22C2.
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You want to determine the average number of hours worked by professors at your university per week. You want to be able to express your answer as a confidence interval, with 95% confidence (that is, use z = 1.96) and you are aiming for a precision of plus or minus two hours. Past studies of this type suggest that the variance in professor work hours is about 92 (that is, o² = 92). a. How big is the minimum required sample size that would allow you to meet your confidence and precision goals? b. If you wanted your precision to double (that is, your precision would now be plus or minus one hour), how does that affect your minimum required sample size? c. (Reset precision to the original setting.) If you wanted your confidence to increase to 99% (that is, use z = 2.575 instead of 1.96), how does that affect your minimum required sample size?
Answers
We would need to collect data from at least 356 professors to achieve a 95% confidence interval with a precision of plus or minus two hours.
a. To determine the minimum required sample size, we can use the formula:
n = (z^2 * o^2) / E^2
Where:
n is the sample size
z is the z-score associated with the desired level of confidence (z = 1.96 for 95% confidence)
o^2 is the variance in professor work hours (o^2 = 92)
E is the desired precision (E = 2)
Substituting the values given in the problem, we get:
n = (1.96^2 * 92) / 2^2 ≈ 214.36
Rounding up to the nearest whole number, we get a minimum required sample size of n = 215.
Therefore, we need to collect data from at least 215 professors.
b. If we want to double our precision (i.e., E = 1), the formula becomes:
n = (z^2 * o^2) / E^2
Substituting the new value of E, we get:
n = (1.96^2 * 92) / 1^2 ≈ 360.16
Rounding up to the nearest whole number, we get a minimum required sample size of n = 361.
Therefore, we would need to collect data from at least 361 professors to achieve a precision of plus or minus one hour.
c. If we want to increase our confidence to 99% (i.e., z = 2.575), the formula becomes:
n = (z^2 * o^2) / E^2
Substituting the new value of z, we get:
n = (2.575^2 * 92) / 2^2 ≈ 355.11
Rounding up to the nearest whole number, we get a minimum required sample size of n = 356.
Therefore, we would need to collect data from at least 356 professors to achieve a 95% confidence interval with a precision of plus or minus two hours.
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Round 5,128,952,454 to the nearest billion.
Answers
Answer:Rounding To Nearest Billion (1000000000) = 0
Step-by-step explanation:
Answer:
5,000,000,000
Step-by-step explanation:
when rounding any number below 5 stays the same.
When should you cross multiply with fractions
Answers
Answer:
fractions are cross multiplied in two situations:
division:
for e.g what is \(\frac{3}{2}\)÷\(\frac{7}{5}\)
to solve this expression we cross-multiply fractions:
=15/14
In equation:
for eg \(\frac{8x}{7}\) = \(\frac{2}{9}\)
to solve this we cross multiply:
8x(9)=2(7)
72x=14
x=14/72
In equation cross multiplication can only be carried out if denominator is same for e.g \(\frac{2}{1}\)+ \(\frac{8x}{7}\) = \(\frac{4}{7}\) cannot be cross multiplied until denominator of 8x and 2 is same
Plss mark as brainliest
By cross multiplying, you can simplify the equation and solve for the unknown variable.
Cross multiplication is a technique used when solving equations involving fractions. It is typically used when you have a proportion or an equation with fractions, and you want to eliminate the denominators and solve for the unknown variable.
Cross multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction and vice versa. This technique is useful for simplifying equations and solving for the unknown variable.
You should cross multiply with fractions when you have an equation in the form:
a/b = c/d
To cross multiply, you would multiply ad (product of the numerators) and bc (product of the denominators) and set them equal:
ad = bc
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what is the sympol of parralar
A. //
B.%
c.all
D.none
Answers
Answer:
a.//
Step-by-step explanation:
i hope helps u ! plz follow me
Question Prog
One-third of a number is 12.
Work out one-half of the number.
Answers
One-half of the number is 18.
Given that
One-third of a number is 12.
Let "x" be the number
Given that,
One-third of a number is 12
Which means,
\(\frac{1}{3} *x = 12\)
x = 3*12
x = 36
Thus the number is 36
Work out one-half of the number
one half of the number = \(\frac{x}{2}\)
one half of the number = \(\frac{36}{2}\)
one half of the number = 18
Hence the answer is, one-half of the number is 18.
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fuwo balls are drawn successively without replacement from a box which contains 4 white balls and 3 red balls. find the probability that both balls are white.
Answers
The probability that both the balls drawn are white is 2/7 when two balls are drawn successively without replacement from a box which contains 4 white balls and 3 red balls.
Two balls are drawn successively without replacement from a box which contains 4 white balls and 3 red balls.
Therefore, Total number of balls in the box = 4+ 3 = 7 balls
Thus, the probability that the first ball drawn is a white is = (Total number of white balls) / ( Total number of balls)
=4/7
The next ball is drawn without replacement thus the number of balls in the box is 6.
And if 1 ball is picked in drawn n first tie, then remaining number of white balls is 3.
Thus, the probability that the second ball drawn is a white is = (Remaining number of total white balls) / ( Remaining number of total balls)
= 3/6 = 1/2
Therefore, the probability that both the balls drawn are white is
= (4/7)*(1/2)
= 2/7
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The scatter plot shows the relationship between ice cream sales and temperature at noon on that day at sea side ice cream shop. Which statements are correct?
A) The data shows one potential outlier B) The data shows a linear association C)The data shows a clustering pattern
D) The data shows a negative association E) As temperature increases ice cream sales increase
Answers
Answer:
A, B and E
Step-by-step explanation:
..............
From the given graph we have the correct statements are A, B and E.
We have given that,
The scatter plot shows the relationship between ice cream sales and temperature at noon on that day at the seaside ice cream shop.
We have to determine the statements are correct.
What is a scatter plot?A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.
From the given graph we have the correct statements are A, B and E.
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kim's family spends $62.50 on dinner . They leave an 18% tip . how much is their total bill after tip?
Answers
Answer:
Kim's Family spends $62.50 on dinner. They leave an 18% tip. After tip, their bill should come to $73.75
Step-by-step explanation:
If this isnt the correct answer then try 11.25 as the answer
please help my mom is gonna hit me if i don't get it right.
the answer is NOT 18
Answers
Answer:
Lol I hope she didn't hit you yet. The answer is x=14 :)
Step-by-step explanation:
So the first thing that you would want to do is find what 9 is multiplied by to get 21. To do this, we can just do a simple algebraic equation: 9x=21. The answer is 7/3 because mAgIc. So now, we can also multiply 6 by 7/3. this would be 42/3 because of more MaGiC. 42/3 divides into 14 because im just obviously a mage. lol I hope this helped.
. You are going camping with your family for a family reunion. You need to know how many sleeping bags will fit inside the tent you will be using. The floor of the tent is a trapezoid with bases of 10 ft. and 28 ft. The distance between the bases is 12 ft. and the legs of the trapezoidal floor are 15 ft. For the camping trip you will all be using sleeping bags that are 6.7 ft. by 2.3 ft.
Answers
The number of sleeping bags that will fit inside the trapezoidal tent will be 14 bags.
We have,
Trapezoid tent with bases,
a = 10 ft and
b = 28 ft,
And,
The distance between the bases i.e. h = 12 ft,
And,
The legs of the trapezoidal floor = 15 ft,
And,
Dimensions of sleeping bags are 6.7 ft by 2.3 ft,
Now,
Area of trapezoid = \(\frac{(a+b)}{2}* h\)
So,
Area of the tent = \(\frac{(a+b)}{2}* h\) = \(\frac{(10+28)}{2}* 12\) = 19 × 12 = 228 squared ft
Now,
The area of the sleeping bags = 6.7 × 2.3 = 15.41 squared ft
Now,
To find the number of sleeping bags that will fit inside the tent,
i.e.
Number of sleeping bags inside the tent = 228/15.41 = 14.79 ≅ 14
Hence we can say that the number of sleeping bags that will fit inside the trapezoidal tent will be 14 bags.
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PLEASE HELP, very urgent. 50POINTSSSS
Answers
Answer:
#3 and 6 from what I can see are correct
Step-by-step explanation:
let |g| 5 15. if g has only one subgroup of order 3 and only one of order 5, prove that g is cyclic. generalize to |g| 5 pq, where p and q are prime.
Answers
To prove that the group g is cyclic, we analyze the possible values of the order |g|. We consider the cases for each possible value and demonstrate that in all cases, g is either cyclic or leads to a contradiction.
For |g| = 1, 2, 3, 5, or 7, the groups of these orders are always cyclic.
If |g| = 4, 6, 8, 9, 10, 12, or 15, we show that g cannot have the required subgroups. Assuming g is not cyclic, we find an element x of order 2 and additional elements y, z, w, etc., also of order 2. This contradicts the given conditions since g would be isomorphic to Z₂ × Z₂ or have more than one subgroup of order 3 or 5.
For composite orders |g| = pq, where p and q are prime, we generalize the analysis. By Cauchy's theorem, g has elements of order p and q, and since there is only one subgroup of each order, they are cyclic. We show that the intersection of these subgroups cannot have an order of pq, leading to a contradiction. Hence, g is cyclic.
Therefore, in all cases, g is proved to be cyclic. QED.
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If (x + a) is a factor of a polynomial function, (p) &, which two statements are true? - The binomial (x – a) is also a factor of p(x). - The value of p(a) must be 0. - The value of p(-a) must be 0. - There is an 2-intercept of the function at (-a,0). - There is an z-intercept of the function at (a,0).
Answers
Answer:
The value of p(-a) must be 0
There is an x intercept of the function at (-a,0)
Step-by-step explanation:
(x + a) is a factor of a function p(x)
that means, that p(x) must have an x-intercept at the point x = -a
This can be written in two different ways,
p(-a) = 0x-intercept of the function p(x) at (-a,0)If (x + a) is a factor of a polynomial function, p(x), then the two statements that are true are:
The value of p(a) must be 0.There is an z-intercept of the function at (a,0).A factor of a polynomial function is a binomial that, when multiplied by another polynomial, gives the original polynomial function. If (x + a) is a factor of p(x), then p(x) can be written as (x + a)q(x), where q(x) is another polynomial function.
According to the Factor Theorem, if (x + a) is a factor of p(x), then p(a) = 0. This means that the value of the polynomial function at x = a is 0.
Additionally, if p(a) = 0, then there is an z-intercept of the function at (a,0). This is because the z-intercept is the point where the function crosses the z-axis, and this occurs when the value of the function is 0.
Therefore, the two statements that are true are "The value of p(a) must be 0" and "There is an z-intercept of the function at (a,0)".
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