Answer:
5n and -5n cancel so we're left with -mp + pn which can be factored to p(-m + n).
There are y narts to this question. Yiu war be anked to movide fint 1 answer in each part. In our dataset we obsenve thiee variables that we strangly befieve do not have a relabonhip with wages, but that are correlated with the endoeenour variable riciuct. These variables mee dixt, which denotes the distance between the wroticer's viliage and the closest school, wralh yofene. Which is a dummin variable that takes the value of 1 if the worker regularly brushes hiv/her teeth ithe eovemment provides a free toothbrunh to each citizen and we believe that more educated people tend to brush their teeth more offen, and library, which is a dummy variable that takes the value of 1 if the worker has access to a library in his/her viliage. We estimafe our regression model using TSIS We want to test if our instruments satisfy the relevance requirement. In the 1 st stage of TSLS we estimate the following equation: edue =π0+π1 diat +π2 aralhygiene +π1 hitrary +π4 erper +NH What is the null hypothesis to test for instruments' relevance? A) H0:π1=π2=π3=π4=0. B) H0:π1=π2=π3=0. C) H0:π2=π3=π4=0. D) H0:π2=0 or π3=0 or π4=0. E) HD:π1=0 or π2=0 or π3=0. F) H0:π1=0 or π2=0 or π3=0 or π4=0. Answer:
The null hypothesis to test for instruments' relevance is option D) H0:π2=0 or π3=0 or π4=0.In order to test the relevance of the instrument, the first stage equation's null hypothesis should be stated as: H0: π2 = 0 or π3 = 0 or π4 = 0.The relevance requirement will be fulfilled if we can refute the null hypothesis.
The null hypothesis will not be rejected if the F-statistic is less than 10.0. However, if the F-statistic is greater than 10.0, the null hypothesis will be rejected, indicating that the variables are relevant and that the instrument satisfies the relevance requirement.In summary, to test for instruments' relevance in TSLS, the null hypothesis of the first stage equation is stated as H0: π2 = 0 or π3 = 0 or π4 = 0.
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HEKO HELP
what is the complement to an angle that measures 48°?
1) 28°
2) 42°
3) 52°
4) 132°
complement angle meabs 90° so,
90° - 48°
= 42°
hence the complement angle of 48° is 42°
The point ( − 2 , 5 ) is translated down 4 units. What are the new coordinates?
The point (-2, 5) translated down 4 units would result in the new coordinates (-2, 1).
When a translation is performed, the entire shape or point is shifted in a specified direction.
In this case, since we are translating down, we need to decrease the y-coordinate of the point by 4 units.
Starting with the original point (-2, 5), we move 4 units downward along the y-axis. Since we are subtracting 4 units from the y-coordinate, the new y-coordinate becomes 5 - 4 = 1.
Therefore, the translated point would be (-2, 1).
This means that the point originally located at (-2, 5) has been shifted downward by 4 units and is now located at (-2, 1).
The x-coordinate remains the same since the translation was only performed along the y-axis.
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2 = 9 + 5/2
please answer this
Answer:
false
Step-by-step explanation:
Answer:
Convert 529 5 2 9 to an improper fraction.
Step-by-step explanation:
rewrite the expression with a rational exponent as a radical expression. (1 point) five to the three fourths power all raised to the two thirds power
The expression "five to the three-fourths power raised to the two-thirds power" can be rewritten as a radical expression.
First, let's calculate the exponentiation inside the parentheses:
(5^(3/4))^2/3
To simplify this, we can use the property of exponentiation that states raising a power to another power involves multiplying the exponents:
5^((3/4) * (2/3))
When multiplying fractions, we multiply the numerators and denominators separately:
5^((3 * 2)/(4 * 3))
Simplifying further:
5^(6/12)
The numerator and denominator of the exponent can be divided by 6, which results in:
5^(1/2)
Now, let's express this in radical form. Since the exponent 1/2 represents the square root, we can write it as:
√5
Therefore, the expression "five to the three-fourths power raised to the two-thirds power" simplifies to the radical expression √5.
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in a curvilinear regression model, the ________ represents the curvilinear effect.
In a curvilinear regression model, the squared term of the predictor variable represents the curvilinear effect.
In a curvilinear regression model, the relationship between the predictor variable and the response variable is not linear but exhibits a curvilinear pattern. To capture this non-linear relationship, the model includes a squared term of the predictor variable.
The squared term of the predictor variable allows the regression model to account for both the linear and curvilinear components of the relationship.
It introduces a curvilinear effect by capturing the curvature or non-linear pattern observed in the data. This squared term enables the model to better fit the data points that deviate from a simple linear relationship.
By including the squared term in the curvilinear regression model, the relationship between the predictor and response variables can be characterized by a more flexible curve, allowing for a better representation of the underlying relationship
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I need help plz plz :(
Answer:
y = 1/2x + 1
Step-by-step explanation:
Answer:
y=1/2x+1
Step-by-step explanation:
y=1/2x+b
2=(1/2)(2)+b
2=1+b
1=b
y=1/2x+1
Given m
|| n, find the value of x.
т
n
(6x+19)°
(4x+11)
a
Help what is X
Answer:
x=15
supplementary angle equals 180
Within this module on "thoughts & acceptance," what is your favorite thing that you've learned and why? please share in complete sentences ideas from the speaker that stood out and any moments that were meaningful.
This module has taught me that accepting our thoughts and emotions is a crucial step in achieving mental and emotional balance. By learning to observe and accept our thoughts without judgment, we can cultivate greater self-awareness and make positive changes in our lives.
Within this module on "thoughts & acceptance," my favorite thing that I've learned is the importance of acknowledging and accepting our thoughts without judgment. The speaker emphasized that thoughts are just thoughts and do not define us. Instead, it is our reaction to those thoughts that can have a significant impact on our mental health.
One idea that stood out to me was the concept of "thinking about thinking," which means observing and reflecting on our thoughts without getting caught up in them. By doing so, we can learn to identify negative thought patterns and replace them with more positive ones.
Another moment that was meaningful was when the speaker talked about the power of self-compassion. We often beat ourselves up for our mistakes and shortcomings, but learning to be kind and gentle with ourselves can lead to greater self-acceptance and emotional well-being.
Overall, this module has taught me that accepting our thoughts and emotions is a crucial step in achieving mental and emotional balance. By learning to observe and accept our thoughts without judgment, we can cultivate greater self-awareness and make positive changes in our lives.
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what is 7 1/5 writen as a percent
♡ The Question ♡
- What is 7 1/5 written as a percent ?
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
720%
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
- Convert 7 1/5 into a decimal!
7 1/5 = 7.2
1 = 100%
Multiply the number by 100!
7.2 x 100 = 720
Add the '%' sign!
720%
7.2 as a percent equals 720%
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-No tips provided!
Answer:
720%
Step-by-step explanation:
convert the fraction to a decimal then multiply by 100
Post this question to forum Bryce runs a 100 meter race. 5 seconds after the race started Bryce is 45 meters from the starting line and reaches his max speed, he runs at this max speed for the rest of the race. Bryce notices that he is 77 meters from the starting line 9 seconds after the race started. a What is Bryce's max speed? meters per second Preview b. Suppose Bryce runs for an additional z seconds after reaching his max speed.. i How far will Bryce travel during those additional z seconds? (Preview; ii What is Bryce's distance from the starting line 5+ z seconds after the race started? meters # meters Preview c. What is Bryce's distance from the starting line z seconds after the race started (provided z 2 5)? meters Preview Submit Question 4. Points possible: 4 Unlimited attempts Score on last attempt 1. Score in gradebook: 1 Message instructor about this question & Ucense
The Bryce's distance from the starting line z seconds after the race started (provided z ≤ 5) will be (45 + 11z) meters.
Bryce runs a 100 meter race. 5 seconds after the race started Bryce is 45 meters from the starting line and reaches his max speed, he runs at this max speed for the rest of the race. Bryce notices that he is 77 meters from the starting line 9 seconds after the race started. Find the max speed and distance. a) Bryce's max speed = 11 meters per secondb) Bryce travels (11z) meters during the additional z seconds.
Bryce's distance from the starting line 5+ z seconds after the race started will be (45 + 11z) meters.c) Bryce's distance from the starting line z seconds after the race started (provided z ≤ 5) will be (45 + 11z) meters.Explanation:The problem deals with a boy named Bryce, who runs 100 meters and reaches his maximum speed.
Let the max speed be v m/s, and the time he runs at the max speed be t seconds.From the problem, Bryce is 45 meters from the starting line 5 seconds after the race started. And Bryce notices that he is 77 meters from the starting line 9 seconds after the race started.
The solution of the problem is as follows: The max speed can be found using the formula as follows:S = ut + (1/2)at²Here, initial velocity u = 0, final velocity v = v m/s, t = t seconds, S = distance traveled by Bryce in t seconds, a = acceleration of Bryce. Let the distance Bryce travels at maximum speed be x meters, and he takes t seconds to cover the distance.
Thus,x = v × t ... (1)Also, the distance Bryce travels during the first 5 seconds is 45 meters. Thus, using the equation of motionS = ut + (1/2)at² and putting a = 0, we have45 = 0 × 5 + (1/2) × 0 × 5² = 0 + 0 = 0Or, S = ut + (1/2)at² = 45 meters ... (2)Now, let the additional time be z seconds. Thus, the total time Bryce runs will be t + z seconds. Now, the distance Bryce travels will be (45 + x) meters + v × z meters.
Let the distance Bryce travels during z seconds be y meters. Thus,y = v × z ... (3)Therefore, the total distance traveled by Bryce will be(45 + x) meters + v × z meters = (45 + x + y) metersAlso, the total time taken to run the race will be (t + z) seconds.
Now, using the equation of motionS = ut + (1/2)at² and putting S = 77 meters, t = 5 seconds and a = 0, we have77 = 0 × 5 + (1/2) × 0 × (5 + z)² + x + v × z = x + v × z ... (4)Thus, from equations (1) and (4), we getv = (77 - 45)/z ... (5)Using equation (3) and the value of v from equation (5), we can find the distance traveled by Bryce in additional time z seconds.
Thus,y = v × z = (77 - 45)/z × z = 32 metersThus, the total distance traveled by Bryce will be(45 + x) meters + v × z meters = (45 + x + 32) meters = (77 + x) metersUsing equation (2), we have45 = 0 × 5 + (1/2) × 0 × 5² = 0 + 0 = 0Or, S = ut + (1/2)at² = 45 meters ... (2)Therefore, Bryce's distance from the starting line z seconds after the race started (provided z ≤ 5) will be (45 + 11z) meters.
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PLS HELP AND SHOW WORK PLS
A librarian has 274 return books. 50 of the books are reserved at her desk, and the remaining books need to be shelved. Each shelf can hold 14 books. write and solve an equation to find the number of shelves needed.
Answer: 16
Step-by-step explanation:
274-50=224/14=16
Answer:
16
Step-by-step explanation:
A cylinder has a base radius of 10 centimeters and a height of 3 centimeters. What is
its volume in cubic centimeters, to the nearest tenths place?
Answer:
Step-by-step explanation:
A farmer has a 40 acre farm in georgia. the farmer is trying to determine how many acres of corn, peanuts and cotton to plant. each crop requires labor, fertilazer and insecticide. the farmer has deveopled the following linear programming model to determine the number of acres of corn(x1), peanuts (x2), and cotton(x3) to plant in order to maximaze profit:
max 550 X1+350 X2+450 X3
st
constraint 1: 2 x1+ 3x2 +2 x3 <=120 labor hours
constraint 2: 4x1+ 3x2 + x3 <=160 fertilizer, tons
constraint 3: 3 x1+ 2x2+ 4 x3 <=100 insectide, tons
constraint 4: x1+ x2+ x3 <=40 acres
x1, x2, x3 >=0
solve the problem
1) how much will be total profit and how many acres will be planted for each crop?
a) corn
b) cotton acres
c) peanuts acres
2) which constraints are binding?
a. labor hours and acres
b. insecticide tons only
c. insecticide tons and acres
d. fertilizer tons only
3) What's the maximum profit? (use two decimal places)
a) 20 acres of corn, b) 15 acres of cotton, and c) 5 acres of peanuts will be planted. The total profit will be $12,250.
To solve the linear programming problem, we use a simplex method. The optimal solution for this problem is: a) x1 = 20, x2 = 5, x3 = 15, b) x1 = 15, x2 = 15, x3 = 10, and c) x1 = 5, x2 = 20, x3 = 0. Thus, 20 acres of corn, 15 acres of cotton, and 5 acres of peanuts will be planted to maximize profit, which is $12,250.
To determine the binding constraints, we calculate the slack variables for each constraint. The slack variables for constraint 1, 2, 3, and 4 are 0, 0, 15, and 0, respectively. Therefore, the binding constraints are constraint 3 (insecticide tons) and constraint 1 (labor hours) with a slack of 15 hours.
The maximum profit is obtained by plugging in the optimal solution into the objective function. Profit = 550x1 + 350x2 + 450x3 = $12,250.
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Find the value of x that maximized the volume of the following:
X
5 - 2x
8 - 2x
O x= 5
O x= 10/3
O x= 1
O x= 2.5
Check the picture below.
as you can see, the graph of the volume function comes from below goes up up up, reaches a U-turn then goes down down, U-turns again then back up to infinity.
the maximum is reached at the close up you see in the picture on the right-side.
Why we don't use a higher value from the graph since it's going to infinity?
well, "x" is constrained by the lengths of the box, specifically by the length of the smaller side, namely 5 - 2x, so whatever "x" is, it can't never zero out the smaller side, and that'd happen when x = 2.5, how so? well 5 - 2(2.5) = 0, so "x" whatever value is may be, must be less than 2.5, but more than 0, and within those constraints the maximum you see in the picture is obtained.
Find the Fourier Transform of t 1 a. 9+1² eJ 200xt 9+1 b.
a) The Fourier Transform of \(t^2e^{j200\pi t}\) is a complex function that depends on the frequency variable ω.
b) To find the Fourier Transform of \(9e^{j200\pi t} + t\), we need to apply the Fourier Transform properties and formulas.
a) The Fourier Transform of \(t^2e^{j200\pi t}\) is given by the formula:
F(ω) = ∫[t^2\(e^{j2\pi \omega t}\)]dt
To solve this integral, we can use integration techniques. After evaluating the integral, the Fourier Transform of t^2e^(j200πt) will be a complex function of ω.
b) To find the Fourier Transform of \(9e^{j200\pi t} + t,\) we can apply the linearity property of the Fourier Transform.
According to this property, the Fourier Transform of a sum of functions is the sum of their individual Fourier Transforms.
Let's break down the function:
\(f(t) = 9e^{j200\pi t} + t\)
Using the Fourier Transform properties and formulas, we can find the Fourier Transform of each term separately and then add them together.
The Fourier Transform of \(9e^{j200\pi t}\) can be found using the formula for the Fourier Transform of a complex exponential function.
The Fourier Transform of t can be found using the formula for the Fourier Transform of a time-shifted impulse function.
After finding the Fourier Transforms of both terms, we can add them together to get the Fourier Transform of \(9e^{j200\pi t} + t\). The resulting expression will be a function of the frequency variable ω.
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What is AAA congruence rule?
AAA ( Angle - Angle - Angle) congruence rule is one of congruence postulate but not preferable, for showing the similarity in two triangles
Two triangles are said to be congruent if one can be superimposed on the other exactly by rigid body motion, and the congruence theorem gives the conditions under which this occurs.
SAS (side-angle-side)SSS (side-side-side)ASA (angle-side-angle)AAA( angle-ange-angle)AAS (angle-angle-side)RHS( right angle-hypotenuse-side)AAA Congruence rule:
It is stands for angle-angle-angle Congruence rule. When all three angles of one triangle is equals to the corresponding angles of another triangle. but it is possible if and only if the corresponding sides of both triangles are equal and when all three sides of two triangles are equal to each other then we use SSS Congruence rule. So, it not considered as preferable congruence rule . For example, In ∆ABC and ∆PQR
all three angles of ∆ABC is equal to corresponding angles of ∆PQR. So,∆ABC and ∆PQR are congruent.
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May somebody help with this and show how you solved these 4 problems??
Answer:
x=27
y=25
c=12
n=70
Step-by-step explanation:
a- x-10=17
isolate the x by adding 10 to both sides
x=27
b- y+7=32
isolate the y by subtracting 7 from both sides
y=25
c- 4c=48
isolate c by dividing both sides by 4
c=12
d- n/5=14
isolate the n by multiplying both sides by 5
n=70
Answer:
a) \(x-10=17\)
Add 10 to both sides:-
\(x-10+10=17+10\)\(x=27\)----------
b) \(y+7=32\)
Subtract 7 from both sides
\(y+7-7=32-7\)\(y=25\)------------
c) \(4c=48\)
Divide both sides by 4
\(\frac{4c}{4}=\frac{48}{4}\)\(c=12\)------------
d) \(\frac{n}{5}=14\)
Multiply both sides by 5
\(\frac{5n}{5}=14\cdot \:5\)\(n=70\)OAmalOHopeO
help I have to turn this is tomorrow and I don’t know how to do it
Step-by-step explanation:
The area of the triangular base is: 19
square units
How to calculate the base area
The given parameters are:
Volume = 27.36 cubic units
Height = 2.88 unit
The volume of a triangular prism is:
V = 0.5 * B *h
Where B represents the base area.
So, we have:
27.36 = 0.5 * B * 2.88
27.36 B * 1.44 -
Solve for B
B = 19
Hence, the area of the triangular base is: 19 square units
For a biology experiment, students labeled the plants in a greenhouse in order to track their heights over the next few weeks. The greenhouse contained ROSES labeled 1, 2, 3, 4, 5, 6, LILIES labeled 1, 2, 3, 4, 5, and VIOLETS labeled 1, 2, 3, 4. If a single flower is picked at random, what is the probability that the flower is NOT A ROSE?
Using it's concept, it is found that there is a 0.6 = 60% probability that the flower is NOT A ROSE.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 6 + 5 + 4 = 15 flowers, out of which 5 + 4 = 9 are not roses, hence the probability is given by:
p = 9/15 = 0.6 = 60%.
0.6 = 60% probability that the flower is NOT A ROSE.
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Solve the given system of equations using either Gaussian or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION.)â2x+y+2z=9â2yâ3z=â2ây+â2z=â1
The solution to the system of equations is:
x = -2, y = -3, z = 4.
To solve this system of equations using Gaussian or Gauss-Jordan elimination, we will first rewrite the equations in augmented matrix form:
| -2 1 2 | 9 |
| 0 -2 -3 | -2 |
| 0 -1 2 | -1 |
We will use elementary row operations to transform the augmented matrix into row echelon form:
1. Add 1 times row 1 to row 2:
| -2 1 2 | 9 |
| 0 -1 1 | 7 |
| 0 -1 2 | -1 |
2. Add 1 times row 1 to row 3:
| -2 1 2 | 9 |
| 0 -1 1 | 7 |
| 0 0 4 | 16 |
3. Divide row 3 by 4:
| -2 1 2 | 9 |
| 0 -1 1 | 7 |
| 0 0 1 | 4 |
4. Add -2 times row 3 to row 1:
| -2 1 0 | 1 |
| 0 -1 1 | 7 |
| 0 0 1 | 4 |
5. Add -1 times row 3 to row 2:
| -2 1 0 | 1 |
| 0 -1 0 | 3 |
| 0 0 1 | 4 |
6. Add 1 times row 2 to row 1:
| -2 0 0 | 4 |
| 0 -1 0 | 3 |
| 0 0 1 | 4 |
The resulting row echelon form shows that the system of equations has a unique solution. We can now use back substitution to solve for the variables:
- z = 4
- -y = 3, so y = -3
- -2x = 4, so x = -2
Therefore, the solution to the system of equations is:
x = -2, y = -3, z = 4.
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Why the answer question now correct
Answer:
461.58 in²
Step-by-step explanation:
The surface area (A) is calculated as
A = area of base + area of curved surface
= πr² + πrl ( r is the radius of base and l is slant height )
= 3.14 × 7² + 3.14 × 7 × 14
= 3.14 × 49 + 3.14 × 98
= 3.14(49 + 98)
= 3.14 ×147
= 461.58 in²
Mr. Ammons is constructing a walkway through his rectangular Garden. The walkway runs diagonally as shown in the diagram. Which is closest to the length of the walkway?
Answer:
your answer will be Option B. 28.3 ft
Step-by-step explanation:
\( \sqrt{15 ^{2} } + 24 ^{2} = 28.3\) or
hope it helps you...
have a great day!!
The 28.3 ft is closest to the length of the walkway. the answer will be Option B. 28.3 ft
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
It is given that Mr. Ammons is constructing a walkway through his rectangular Garden. The walkway runs diagonally as shown in the diagram.
We need to find the length of the walkway.
Using Pythagoras Theorem;
\(15^2 + 24^2 = x^{2} \\\\x^{2} = 225 + 576\\\\x^{2} = 801\\\\x = \sqrt{801} \\\\x = 28.30\)
Therefore, 28.3 ft is closest to the length of the walkway. answer will be Option B. 28.3 ft
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I am dilating a line AB. A ( 4, 6) and B ( -10, 8). Scale factor is 2. what are the new points?
Answer:4,6 will be 8,12. -10, 8 will be -20, 16
Step-by-step explanation:
Please helplpppppp!!
Answer:
D
Step-by-step explanation:
"x" represents the hours.
so 8 is the fee for the hours, rather than insurance.
6 is the insurance fee.
if the cost per hours is doubled, it'll now be 16.
the answer is "6 + 16x" (D)
are 2xy^2 and 7x^2 y like terms?
Like terms are terms that have the same variables multiplying a constant, or just the constant itself. Some examples are:
\(\begin{gathered} 9\text{ and 50} \\ 3x\text{ and }-5x \\ 2.5y^2\text{ and }-\frac{5}{3}y^2 \\ xy\text{ and }38xy \end{gathered}\)Looking at the terms 2xy² and 7x²y, they don't have the same variables multiplying them (the first term has x one time and y two times, and the second term has x two times and y one time), so they are not like terms.
Suppose that A is a subset of the reals. Select one: a. A is countably infinite b. A is uncountable O c. A is finite d. Can't tell how big A is. Clear my choice
a. A is countably infinite.
Is A a countably infinite set?Countably Infinite Sets: A set is countably infinite if its elements can be put in a one-to-one correspondence with the natural numbers (1, 2, 3, ...).
Examples of countably infinite sets include the set of all integers, the set of all positive even numbers, and the set of all fractions.
Uncountable Sets: An uncountable set is one that has a larger cardinality than the natural numbers.
It cannot be put in a one-to-one correspondence with the natural numbers.
The most well-known uncountable set is the set of real numbers (denoted by ℝ), which includes both rational and irrational numbers.
So option a. A is countably infinite is correct.
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The correct option is d. Can't tell how big A is.
Is it possible to determine the size of set A?Based on the information provided, it is not possible to determine the size of set A. The given question presents us with a subset of the real numbers without specifying any additional characteristics or constraints.
Without further details or conditions, it is impossible to definitively classify set A as countably infinite, uncountable, or finite.
To determine the size of a set, we typically need more information such as the cardinality of the set or specific properties that can help us make a classification.
However, in this case, the given question does not provide us with any such information, making it impossible to determine the size of set A.
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Round the number to 3
significant figures.
0.2590100
Answer:
0.259
Step-by-step explanation:
There are some rules in determining what numbers are significant figures.
All non-zero numbers are significant.Zeroes between two non-zero numbers are significant.Zeroes at the front of a number are not significant.Trailing zeroes are only significant if there is a decimal point.We can determine how many significant figures the number currently has.
The first zero is not significant.2, 5, 9, and 1 are significant because they are non-zero numbers.The zero between 9 and 1 is significant because it is a captive zero.The zeroes at the end of the number are significant because they are trailing zeroes.There are currently seven significant figures. In order to round the number to three significant figures, we must round it to the thousandths place, or the 9.
The rounding rules are:
If the digit in the place after the number we are rounding is less than 5, you round down (or in other words, keep the number the same; Ex: 74 becomes 70)If that digit is greater than 5, you round up (Ex: 78 becomes 80)Since 0 is less than 5, the number rounded to 3 significant figures is 0.259.
write a formula that expresses the first variable as a function of the second: 1.the area of a circle as a function of its diameter
The area of a circle as a function of its diameter is A(d) = \(\frac{\pi d^2}{4}\).
We have to find the area of a circle as a function of its diameter.
Let the diameter of the circle be d.
We know the formula,
Area of circle = \(\pi r^2\)
Where,
r is the radius of the circle.
\(\pi\) = constant.
We know that,
Radius is equal to half the diameter of a circle.
Hence, we can write
r = d/2
Where d is the diameter of the circle.
Hence, we can write,
Area of circle as a function of its diameter = A(d) = \(\pi (\frac{d}{2})^2 = \frac{\pi d^2}{4}\).
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A union votes on whether to go on strike. 120 people vote. The ratio of yes no votes is 2:3. a) How many people vote yes? ..................
Answer:
48 people
Step-by-step explanation:
The given ratio is 2:3
The total is 120
Let the common ratio be x
So it can be divided as 2x, 3x
Their sum is 2x+3x=120
5x=120
x= 24
24×2=48
24×3=72
⟹48, 72