Answer:
The independent variable, x, represents the length of one side of the square, and the dependent variable is the the area of the square, because the the area of the square depends on the length of one side of the square.
A function relating these variables is D(x) = x^2.
So D(6) =36, meaning if 6 is the length of one side then 36 would be the area of the square.
Step-by-step explanation:
The question clearly stated that the area depends on the side length, making the side length the independent variable.
The formula for the area of a square is the side length squared.
Have a good day :)
The relationship between them is the formula for the area of a square is the side length squared.
What is the area of a square?The area of a square can be calculated as the square of the sides of a given figure.
The area of a square = side x side
The independent variable x is represents the length of one side of the square, and the dependent variable is the the area of the square, because the the area of the square depends on the length of one side of the square.
A function relating these variables is D(x) = x^2.
D(6) =36, meaning if 6 is the length of one side then 36 would be the area of the square.
It is stated that the area depends on the side length, making the side length the independent variable.
Therefore, The formula for the area of a square is the side length squared.
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Help me I'm in jeproady
Answer:
She subtracted 7x instead of dividing it. Personally, i wouldn't have done that. I would subtract the 14 first, then divide.
A repair bill for your car is $553. The parts cost $265. The labor cost is $48 per hour. Write and solve equation to find the number of hours T of labor spent repairing the car
Equation : __ =553
T= ___ hours
Answer:
6
Step-by-step explanation
265+48=313
553-313=240
240/60=6
Answer:
equation : 265 + 48T = 553
T = 6 hours
Step-by-step explanation:
equation
553 - 265 = 288
288 /48 = 6
the number of hours spent is 6
equation : 265 + 48T = 553
T = 6 hours
Which is a statistical question?
1.)How many touchdowns did you score in yesterday's game?
2.)How many pens are inside each of my classmates' desks?
3.)How many balloons came in the package that you bought?
3.)How old was George Washington when he became president?
Answer:
2.
Step-by-step explanation:
You need to collect data from all students to get an answer .
The statistical question from the given options is:
"How many pens are inside each of my classmates' desks?"
What is Statistics?
Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Thus, the statistical question from the given options is:
"How many pens are inside each of my classmates' desks?"
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determine whether the integral is convergent or divergent. if it is convergent, evaluate it. (if the quantity diverges, enter diverges.) [infinity] 39 ln(x) x dx 1
a. divergent
b.convergent
b. convergent Since the limit approaches infinity, the integral diverges. Therefore, the answer is convergent .
To determine the convergence of the integral [infinity] 39 ln(x) x dx, we can use the integral test. This test states that if f(x) is a continuous, positive, and decreasing function on [a, infinity), then the improper integral [a, infinity) f(x) dx converges if and only if the series sum from n=a to infinity of f(n) converges.
In this case, we have f(x) = 39 ln(x)/x, which is a continuous, positive, and decreasing function on [1, infinity). Thus, we can apply the integral test.
Let's evaluate the integral using integration by parts:
∫ 39 ln(x)/x dx = 39 ∫ ln(x) d(ln(x))
= 39 (ln(x))^2/2 + C
Now, we need to check whether the integral converges or diverges.
As x approaches infinity, ln(x) grows without bound, so (ln(x))^2 grows even faster. Thus, the integral is improper at infinity.
We can evaluate the limit as x approaches infinity of (ln(x))^2/2 to determine whether the integral converges or diverges:
lim (x → infinity) (ln(x))^2/2 = infinity
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90 3/4 in simplest form
90/3 = 30/1 = 30
90/4 = 45/2 = 22 1
2
How many solutions for the system of equations 4x + 6y = 12,6x +9y = 18
Answer:
infinite number of solutions
Step-by-step explanation:
Given the 2 equations
4x + 6y = 12 → (1)
6x + 9y = 18 → (2)
Equation (2) is a multiple of (1)
Each term has been multiplied by 1.5
Thus the 2 equations are basically the same equation.
This indicates there are infinite solutions to the system
Which list shows these numbers in order from least to greatest? 37/6, -5.1717, √33, -26/5
Answer:
Step-by-step explanation:
You are given several lists from which to choose (share them, please) and in each case you must decide whether or not the numbers are in ordere from least to greatest.
Using 37/6, -5.1717, √33, -26/5 as an example (since it is only one of several llsts), we convert all the numbers into mixed decimal fractions:
37/6 = +6.17
-5.172
5.74
-5.3
This particular list has NOT been arranged in order from least to greatest.
You must now perform the same test on the other lists and then choose the list whose numbers are shown in order from least to greatest.
The list that shows these numbers in order from least to greatest is to be considered as the -5.17, 26/5, √33, 37/6.
Calculation of the list that shows the least to greatest:Since
If we divide 37 by 6 so it comes 6.1666
The next value is -5.1717
The root of 33 is 5.744
And, the value of -26/5 is 5.2
So based on this, we can say that The list that shows these numbers in order from least to greatest is to be considered as the -5.17, 26/5, √33, 37/6.
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What is (gof)(x) if f(x) = 3x - 1 and g(x) = 4x² + 9?
Step-by-step explanation:
(gof)(x) is basically g(f(x))
= 4 × (3x - 1)² + 9
= 4 × (9x² - 6x + 1) + 9
= 36x² - 24x + 4 + 9
= 36x² - 24x + 13
which value of X is the solution of the equation 2X = X +5 
Answer: To solve the equation 2X = X + 5, we can start by isolating X on one side of the equation by subtracting X from both sides:
2X - X = X + 5 - X
X = 5
Therefore, X = 5 is the solution of the equation 2X = X + 5.
Step-by-step explanation:
The solution for x in the equation 2x = x + 5 is obtained by isolating the variable x, leading to the answer x = 5.
Explanation:To solve for x in the equation 2x = x + 5, you need to isolate x. Start by subtracting x from both sides of the equation to get 2x - x = x + 5 - x which simplifies to x = 5.
The procedure used here is a standard method in algebra known as isolating the variable. This means the objective is to get the variable (x in this case) alone on one side of the equation.
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In a class of students, the following data table summarizes the gender of the students and whether they have an A in the class. What is the probability that a student chosen randomly from the class is a female?
Female Male
Has an A 5 2
Does not have an A 7 11
Answer:
Answer:
your answer should be 8 according to the bearing given
Whats the volume of a ball if diameter is 17
Answer:
818.8333333 *pi
or
Using the pi button on the calculator
2572.440785
Using 3.14 for pi
2571.13666666
Step-by-step explanation:
We need the radius
r = d/2
r = 17/2 = 8.5
We can find the volume using
V = 4/3 pi r^3
V = 4/3 pi ( 8.5)^3
V =818.8333333 *pi
Using the pi button on the calculator
2572.440785
Using 3.14 for pi
2571.13666666
3(-5x + 2) +20x-7
can someone do that?
Answer:
\(3(-5x + 2) +20x-7 \\ = - 15x + 6 + 20x - 7 \\ = 20x - 15x + 6 - 7 \\ = 5x - 1\)
hope it helps:)
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe thepopulation standard deviation is approximately o = 72.7. You would like to be 95% confident that yourestimate is within 10 of the true population mean. How large of a sample size is required? Do not roundmid-calculation
The standard deviation is:
\(s=72.7\)The confidence interval is 95%
You want to be confident that your estimate is within 10 of the true population mean, then you can use the next formula:
\(ME=z\frac{s}{\sqrt[]{n}}\)Where ME is the marginal error, z is the z-score (for a confidence interval of 95% is 1.96), s is the standard deviation and n the sample size.
Then, by replacing the values:
\(\begin{gathered} 10=1.96\frac{72.7}{\sqrt[]{n}} \\ 10\times\sqrt[]{n}=1.96\frac{72.7}{\sqrt[]{n}}\times\sqrt[]{n} \\ 10\times\sqrt[]{n}=1.96\times72.7 \\ \sqrt[]{n}=\frac{1.96\times72.7}{10} \\ \sqrt[]{n}=14.2492 \\ \sqrt[]{n}^2=14.2492^2 \\ n=203.04 \end{gathered}\)Thus, you need a sample size of at least 204 people.
0.74 0.84 which is greater
Answer:
0.84
Step-by-step explanation:
Answer:
0.84>0.74
Step-by-step explanation:
0.84 is 0.1 more than 0.74
la medida del vector se llama
Answer:
english please...?
Step-by-step explanation:
Answer:
la medida del vector se llama magnitud
Find the measure of
=======================================================
Explanation:
The angles SPT and TPU marked in red are congruent. They are congruent because of the similar arc markings.
Those angles add to the other angles to form a full 360 degree circle.
Let x be the measure of angle SPT and angle TPU.
86 + 154 + 60 + x + x = 360
300 + 2x = 360
2x = 360-300
2x = 60
x = 60/2
x = 30
Each red angle is 30 degrees.
Then,
angle SPQ = (angle SPT) + (angle TPU) + (angle UPQ)
angle SPQ = (30) + (30) + (86)
angle SPQ = 146 degrees
--------------
Another approach:
Notice that angles QPR and RPS add to 154+60 = 214 degrees, which is the piece just next to angle SPQ. Subtract from 360 to get:
360 - 214 = 146 degrees
The value of a boat is $22,000. It loses 20% of its value every year. Find the approximate monthly percent decrease in value. Round your answer to the nearest hundredth of a percent. PLZ HELP! I"LL GIVE BRAINLIEST!!!!
Answer:
If it lost 20% of the original value per year, it lost $4,400 in value in the first year.
There are 12 months in a year.
4,400 divided by 12 is 366.67 (rounded since this is about money)
So the boat lost $366.67 in value each month for the first year.
Or 1.67% value per month
Approximate the solution of the system to the nearest thousandth.
Answer:
(-0.67412648,-047682599)
Step-by-step explanation:
How do I solve this?
Answer:
Step-by-step explanation:
If the two figures are congruent, which statement is true?
A. BCDA ≅ FEHG
B. ABCD ≅ EFGH
C. BADC ≅ EFGH
D. ADCB ≅ HGFE
Answer:
A
Step-by-step explanation:
the order of letter should resemble the same shape
Which expression is represented by the diagram?
-6 - (-1)
-6 - 1
-5 - (-1)
-5 -1
Answer:
C
Step-by-step explanation:
Answer:
Please review the question. I don't see a diagram. And the "expressions" are just numbers.
Step-by-step explanation:
The expressions aren't really expressions. There are no variables (x or y).
-6 - (-1) is -5
-6 - 1 is -7
-5 - (-1) is -4
-5 -1 is -6
We don't know if these are values of x or y, so the diagram could only be a series of dots on a number line.
0.1784 to 2 decimal places
Which graph shows the solution to the system of linear inequalities?
y≤2x-5
y> -3x + 1
-532
Mark this and return
Save and Exit
Next
Submit
Therefore , the solution of the given problem of inequality comes out to be x > 6/5 and y > -13/5.
What does inequality really mean?In mathematics, an inequality is a linear connection or a collection of numbers even when there is no equal sign. Equity always comes after equilibrium. When two numbers are not equal, inequality exists. Between equality and inequality, there exist differences. The most common symbol was chosen because when parameters aren't the same or comparable (). Values can be compared using a variety of disparities, no matter how few or numerous they are. Many fundamental inequality problems can be addressed by flipping the two aspects until only the variables are left
Here,
Given :
=> y ≤ 2x-5
=> y > -3x + 1
and
=> y ≤ 2x-5
=> 2x - 5 > -3x + 1
=> 2x + 3x > 1 +5
=> 5x > 6
=> x > 6/5
=> y > -3(6/5) + 1
=> y > -18/5 + 1
=> y > -13/5
Therefore , the solution of the given problem of inequality comes out to be x > 6/5 and y > -13/5.
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The waiting times for commuters on the Red Line during peak rush hours follow a uniform distribution between 0 minutes and 11 minutes. a) State the random variable in the context of this problem. Orv X-the waiting time for a randomly selected commuter on the Red Line during peak rush hours Orv X-a uniform distribution Orv X = waiting for a train Orv X - a randomly selected commuter on the Red Line during peak rush hours b) Compute the height of the uniform distribution Leave your answer as a fraction.
The probability density function for a uniform distribution is given by f(x) = 1/(b-a). The height of the uniform distribution is 1/11.
a) The random variable in the context of this problem is Orv X - the waiting time for a randomly selected commuter on the Red Line during peak rush hours, which follows a uniform distribution between 0 minutes and 11 minutes.
b) The height of the uniform distribution can be computed as follows:
The probability density function for a uniform distribution is given by:
f(x) = 1/(b-a)
where a and b are the lower and upper limits of the distribution, respectively.
In this case, a = 0 and b = 11, so:
f(x) = 1/(11-0) = 1/11
a) In the context of this problem, the random variable (X) represents the waiting time for a randomly selected commuter on the Red Line during peak rush hours.
b) To compute the height of the uniform distribution, you'll need to use the formula:
Height = 1 / (b - a)
where 'a' represents the minimum waiting time (0 minutes) and 'b' represents the maximum waiting time (11 minutes).
Height = 1 / (11 - 0)
Height = 1 / 11
So, the height of the uniform distribution is 1/11.
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What is the sum? A, B, C, D
Answer:
The sum is 5/y+5
if you click on the image it will show you the answer to.
heya I have been stuck on this question for a while if anyone can help I would appreciate it
Answer: _____
Fraction = 6/7 decimal form is = 0.\(\\857142\)
Step-by-step explanation:
Cancell common factors and reduce the expression.
A triangle has sides with lengths of 4 meters, 5 meters, and 7 meters. Is it a right triangle?
(q13) Evaluate the definite integral.
The definite integral in this problem has the value given as follows:
B. 42.
How to solve the definite integral?The definite integral in the context of this problem is given as follows:
\(\int_0^2 (x^7 + 5) dx\)
Applying the power of x integral rule, the result of the integral is given as follows:
\(\frac{x^8}{8} + 5x\)
At x = 2, the numeric value of the integral is given as follows:
\(\frac{2^8}{8} + 5(2) = 42\)
At x = 0, the numeric value of the integral is given as follows:
0.
(as both terms involve a multiplication by x and x = 0).
Applying the Fundamental Theorem of Calculus, the result of the integral is given as follows:
42 - 0 = 42.
Hence option B is the correct option in the context of this problem.
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3x + 12 - 6x ≤ -9 help please
Answer:
7
Step-by-step explanation:
simple it's the inequalities version of multi-steps so first subtract 12 from both sides so...
3x-6x < -21
then combine like terms
-3x < -21
then divide by negative three
x < 7
cual es la respuesta
The verdict on each of the given scenarios are as follows;
1. Yes, enough information is given to conclude that the triangles are congruent by the side-side-side SSS congruence theorem.2. No, the information conveyed through the triangles is not enough to conclude that the triangles are congruent.3. Yes, the two triangles given are congruent by virtue of the HL Congruence theorem.Which congruence theorems render the triangles congruent?By observation:
1. Since the two Triangles represented in 1. share a side and also, the two corresponding sides are congruent; it can be concluded that the two triangles are congruent.
2. By observation, although two sides are said to be congruent in the triangles; it cannot be concluded that the triangles are congruent neither by HL nor SSS congruence theorem.
3. The two Triangles share the diagonal which serves as the hypothenuse of both triangles; in addition, one of the other side lengths of the triangles are congruent; Therefore, the triangles are congruent by the HL congruence theorem.
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