Answer:
A. The first option
Step-by-step explanation:
Answer:
Option a
Step-by-step explanation:
If the input value only leads to one output than its a function
if tom has 6 apple and he gave his mom 3 apple and and she made a apple pie how many apple are left.
Answer:
depends, if he has 6 then he still has 6
if he gave her 3 of his six, then ate the pies, he has 3
Step-by-step explanation:
Which of the following sets of data provides the clearest difference between the two samples?
a) One sample has M = 20 with s2 = 5 and the other has M = 30 with s2 = 5.
b) One sample has M = 20 with s2 = 5 and the other has M = 25 with s2 = 5.
c) One sample has M = 20 with s2 = 10 and the other has M = 30 with s2 = 10.
d) One sample has M = 20 with s2 = 10 and the other has M = 25 with s2 = 10.
The set of data that provides the clearest difference between the two samples is option (c): One sample has M = 20 with s2 = 10 and the other has M = 30 with s2 = 10. The reason is that the standard deviation is higher in both samples compared to the other options, and the means of the two samples are also relatively far apart, making the difference between the two samples clearer. I
n options (a) and (b), the means are not far enough apart to provide a clear difference, and in option (d), while the means are farther apart than in option (b), the standard deviation is the same, which makes the difference less clear.
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URGENT HELP IS NEEDED!! WILL MARK BRAINLIEST!!!
Write a real-world situation for the function f(x) = 3(1.06x) + 2. Be sure to identify all key features of the function as what they represent in your situation.
Answer:
Suppose you are the owner of a small business that sells handmade crafts. You are interested in predicting your monthly revenue based on the number of items you sell. You have collected data on the number of items sold per month and the corresponding revenue earned. By analyzing the data, you have found that there is a strong linear relationship between the number of items sold and the revenue earned.
Step-by-step explanation:
You can use the function f(x) = 3(1.06x) + 2 to model this relationship, where x represents the number of items sold in a given month, and f(x) represents the corresponding revenue earned.
Key features of this function and what they represent in the real-world situation are:
The coefficient of x is 1.06, which represents the growth rate of revenue with respect to the number of items sold. In other words, for each additional item sold, revenue increases by 1.06 times.
The constant term of 2 represents the fixed costs of running the business that do not depend on the number of items sold, such as rent, utilities, and salaries.
The coefficient of 3 represents the profit margin of the business. This means that for every dollar of revenue earned, the business keeps 30 cents as profit after accounting for the cost of goods sold and other expenses.
For A I somehow got 41.05 but its 2.95cm can someone show me the working and what I did wrong?
Answer:
Step-by-step explanation:
a). tan(75°) = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)
= \(\frac{11}{k}\)
k = \(\frac{11}{\text{tan}(75)}\)
k = 2.947
k = 2.95 cm
b). cos(52°) = \(\frac{16}{s}\)
s = \(\frac{16}{\text{cos}(52)}\)
s = 25.988
s ≈ 25.99 cm
c). sin(5°) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)
= \(\frac{16.1}{q}\)
q = \(\frac{16.1}{\text{sin}(5)}\)
q = 184.727
q ≈ 184.73 cm
Is ABCD is a square?
ABCD can be square if the distance between all four points is the same.
A square is a two-dimensional closed shape with four equal sides and four corners. The opposite sides of the square are parallel to each other. A square is also a rectangle with equal length and width. A square is an equilateral quadrilateral with all four equal sides and all four equal angles. Square angles are right angles or 90 degrees. Also, the diagonals of the square are equal and bisect at 90 degrees. A square is just a quadrilateral with four equal sides. There are many rectangular objects around us.
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One day a store sold 28 sweatshirts. White ones cost $9.95 and yellow ones cost $13.50. In all, $321.20 worth of sweatshirts were sold. How many of each color were sold?
Answer:
white sold = 16
yellow sold = 12
Step-by-step explanation:
w = # of white sold
y = # of yellow sold
w + y = 28 solve this for w
w = 28 - y
9.95w + 13.5y = 321.20 substitute w = 28-y into this expression and solve for y
9.95(28-y) + 13.5y = 321.20
278.60 - 9.95y + 13.50y = 321.20
278.60 + 3.55y = 321.20
3.55y = 321.20 - 278.60 = 42.60
y = 42.60/3.55 = 12 substitute this into w = 28 - y and solve for w
w = 28 - 12 = 16
What is the slope of the line on the graph?
help me plsssssssss
Answer: 13. 30
Step-by-step explanation:
13. Area = 18x * 10y = 180xy
Length = 6th
With ?
180xy = 6xy x width
180 x/6xy
Width = 30
14. 3^(9-5)= 3^4 = 81 the truck weighs 81 times as the driver
3^5
Salesman Scott received $2,792.79 for selling a property. If the gross commission was 6.5 % of the sale price, the listing salesman received 12% of the gross commission and Scott received 45% of the balance, how much did the property sell for?
Answer: The property sold for $5,870.41.
Step-by-step explanation:
Let x be the selling price of the property.
Then, gross commission = 6.5% of x = 0.065x
listing salesman received = 12% of ( 0.065x) = 0.12 (0.065x) = 0.0078 x
Balance = x - ( 0.065x) - (0.0078 x)
= (1+0.065-0.0078)x
= 1.0572x
Scott received = 45% of (1.0572x)
=0.45 (1.0572x)
= 0.47574x
Now, \(0.47574x=2,792.79\)
\(\Rightarrow\ x=\dfrac{2792.79}{0.47574}\\\\\Rightarrow\ x=5870.41\)
Hence, the property sold for $5,870.41.
How to find the roots of a polynomial of degree 4.
Answer:
In this case, the factor that comes out is x=−3, so you would divide by (x+3). Repeat until you've reduced to a quadratic, and then use the quadratic formula to find the irrational coefficients (if any). Simple factorisation solves your problem. Hence the 4 roots are x=12,x=−3,x=2i and x=−2i.
At a local garden shop, the price of plants includes sales tax. The cost of 4 large plants and 8 medium plants is $40. The cost of 5 large plants and 2 medium plants is $28. If l is the cost of a large plant and m is the cost of a medium plant, write a system of equations that models this situation.
Answer:
4L + 8 m = $40
5L + 2m = $28
Step-by-step explanation:
L = cost of a large plant
m = cost of a medium plant
4L + 8 m = $40
5L + 2m = $28
System of Equations : 8 M + 5 L = 40 ; 5 M + 2 L = 28
Given : Cost of 4 large plants 'L' & 8 medium plants 'M' = 40
Cost of 5 large plants 'L' & 2 medium plants 'M' = 28
So, as per total cost, the equations are :
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Graph joining the points (2,3), (2,5) and (2,7) is a line parallel to y – axis. Find the equation of the line.
Plz help me!
Answer:
x = 2
Step-by-step explanation:
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (2, 3), (2, 5), (2, 7) all with an x- coordinate 2, thus
x = 2 ← equation of vertical line
Answer:
x = 2
Step-by-step explanation:
Firstly, when a line is parallel to the y axis, the equation of the line is x = the x position common to the points, in this case, x = 2.
but if you want to calculate,
from the points,
x1 = 2, y1 = 3
x2 = 2, y2 = 5
x3 = 2, y3 = 7
using the formula,
y-y1/x-x1 = y2-y1/x2-x1
y-3/x-2 = 5-3/2-2
y-3/x-2 = 2/0
crossing we have,
2(x-2) = 0(y-3)
2x - 4 = 0
2x = 4
x = 2
Frank and Gertrude mow lawns for extra money over the summer. Frank's income is determined by f(x) = 5x + 15, where x is the number of hours. Gertrude's income is g(x) = 4x + 20. If Frank and Gertrude were to combine their efforts, their income would be h(x) = f(x) + g(x). Assume Frank works 4 hours. Create the function h(x) and indicate if Frank will make more money working alone or by teaming with Gertrude.
Answer:
d. h(x) = 9x + 35, team with Gertrude
Step-by-step explanation:
Just took the test XD.
But also it is solved by simply adding 4x+20 and 5x+15
In a survey, respondents were asked their political leaning and whether they favored the legalization of marijuana. Of the 826 respondents who answered both questions, the results are listed in the table below.
Liberal Moderate Conservative
Legal 120 102 78
Not Legal 98 222 206
Do the following problems: Leave the original fraction as the answer for each problem. Do not reduce. Do not convert to decimals.
(a) What is the probability that a randomly selected respondent is a conservative?
(b) What is the probability that a randomly selected respondent is a liberal who favors legalization of marijuana?
(c) What is the probability that a randomly selected respondent is a conservative or favors legalization?
(d) What is the probability that a randomly selected respondent who favors legalization given that he/she is a liberal?
(e) What is the probability that a randomly selected respondent who is a moderate given that he/she does not favor legalization?
(f) Are political leaning and favors legalization of marijuana independent? MUST SHOW WORK.
Main answer: The majority of respondents who favored the legalization of marijuana identified as liberal or very liberal.
Supporting explanation: The table shows that out of the 486 respondents who favored the legalization of marijuana, 296 identified as liberal and 120 identified as very liberal. This means that 616 out of the 826 respondents who answered both questions identified as liberal or very liberal. On the other hand, only 60 respondents who favored the legalization of marijuana identified as conservative or very conservative. This suggests that there is a correlation between political leaning and views on the legalization of marijuana, with those on the left end of the political spectrum more likely to support it.
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Plsss I need help ASAP
Answer:
The first is True.
The second is False.
The third is True.
The fourth is True.
The Fifth is False.
Answer:
true, true, false
Step-by-step explanation:
PLS HELP ASAP!! WORTH 30 POINT,PLS TRY TO BE ORGANIZED AND IF U CAN MAYBE DO IT ON PAPER SO ITS EASIER LIKE JS SOLVE IT ON PAPER W/O NO EXPLANATION OR ON HERE W EXPLANATION.SHOW UR WORK PLS SOLVE INEQUALITIES WITH INTEGERS, Q:#12-#15 THANK UU(:
The range of x are;
1. x < -30
2. x > 8
3. x > 15
4. x < -2
What is inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
1. -130 > 50x +20
-130-20> 50x
-150 > 50x
-150/50 > x
-30 > x
x < -30
2. -8(x-3) < -40
-8x +24< -40
collect like terms
-8x < -64
x > -64/-8
x > 8
3. 2x - 22 > 8
collect like terms
2x > 30
divide both sides by 2
x > 30/2
x > 15
4. -35 < -5(x+9)
-35 < -5x -45
collect like terms
10 < -5x
-2 > x
x < -2
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Which ordered pair is a solution of the inequality y≤1/3x−6
The ordered pair of the inequality will be (9,-3).
What is inequality?The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.
Given that inequality is given as y ≤ 1/3x−6.
The ordered pair can be calculated as:-
y ≤ 1/3x−6
Substitute the value of x equal to 9 and get the value of y,
y ≤ 1/3(9) - 6
y ≤ 3 - 6
y ≤ -3
Hence, the ordered pair will be (9,-3).
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Does a parabola have an inverse?
An inverse does not exist for a parabola.
What is a parabola?A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics.
It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.
An inverse does not exist for a parabola.
One definition of a parabola includes a line and a point (the focus) (the directrix).
The directrix is not the main focus.
The locus of points in that plane that are equally spaced apart from the directrix and the focus is known as the parabola.
A right circular conical surface and a plane parallel to another plane that is tangential to the conical surface intersect to form a parabola, which is also known as a conic section.
Therefore, an inverse does not exist for a parabola.
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A tank in the shape of an inverted cone 12 feet tall and 3 feet in radius is full of water. Calculate the work W required to pump all the water over the edge of the tank.
The work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.
To calculate the work required to pump all the water over the edge of the tank, we need to consider the weight of the water in the tank and the height it is lifted.
First, let's find the volume of the water in the tank. The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height. Plugging in the values, we have:
V = (1/3)π(3²)(12)
= (1/3)π(9)(12)
= 36π
Next, we need to find the weight of the water. The weight of an object is given by the formula W = mg, where m is the mass and g is the acceleration due to gravity. The mass of the water can be found by multiplying its volume by the density of water, which is approximately 62.4 pounds per cubic foot:
m = (36π)(62.4)
≈ 22619.47 pounds
Now, we can calculate the work done by multiplying the weight of the water by the height it is lifted. In this case, the height is 12 feet:
W = (22619.47)(12)
≈ 271433.64 foot-pounds
Therefore, the work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.
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The work required to pump water out of an inverted conical tank involves calculating the pressure-volume work at infinitesimally small volumes within the tank and integrating this over the entire volume of the tank. This provides an interesting application of integral calculus in Physics.
Explanation:The question requires the concept of work in Physics applied to a fluid, in this case, water lying within an inverted conical tank. Work is done when force is applied over a distance, as stated by work = force x distance. In the fluid analogy, the 'force' link is the pressure exerted on the water and the distance is the change in volume of the fluid. Therefore, work done (W) = Pressure x Change in Volume (ΔV).
In this scenario, you are required to pump out water from an inverted conical tank, hence, the work you do is against the gravitational force pulling the water downwards. To calculate the total work done, you have to consider the work done at each infinitesimally small (hence, constant pressure) strip of volume and integrate over the entire volume of the tank.
The detail of calculation would require the knowledge of integral calculus and the formula for volume of a cone. I recommend considering this as an interesting application of integrals in Physics. Also remember that the volume of a cone = 1/3πr²h, where 'r' is the radius of base and 'h' is the height of cone.
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help how do i prove the two triangles are congruent
I need help asap!! 20 points!!
a book weighs 4 3/8 pounds. a store needs to mail 5 copies of the book.
create an equation to find how many pounds the books weigh in all.
Equation of the book on how many pound the books weigh is T = w*n and the weight of the books is 175/3 pounds.
It is given in the question that the book weighs 4 and 3/8 pounds and the number of copies that are needed to mail are 5.
We have to find the equation to find the weight of 5 copies of the book.
The equation will be:-
Total weight of books = Weight of 1 book * Number of copies of book
Let total weight be T
Let weight of 1 book = w
Let number of copies of a book = n
Hence, equation becomes:-
T = w*n
We can find the total weight of the books.
T = (4 and 3/8 )*5
T = (35/3)*5
T = 175/3 pounds
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Do the ratios 10:12 and 1:21 form a proportion?
No, the ratios 10:12 and 1:21 are not form a proportion.
What is Proportional?A relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
The ratios are,
⇒ 10 : 12 and 1 : 21
We know that;
Two ratio are form a proportional when both are in same quantity or in a a same ratio.
Here, The ratios are,
⇒ 10 : 12 and 1 : 21
Clearly, We get;
10 / 12 = 5 / 6
1 / 21 = 1 21
Thus,
1 / 21 ≠ 5 /6
1 : 21 ≠ 10 : 12
Therefore, The ratios 10:12 and 1:21 are not form a proportion.
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3
Solve : 8-3(1-m) = -7
Answer:
m = -4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
8 - 3(1 - m) = -7
Step 2: Solve for m
[Subtraction Property of Equality] Subtract 8 on both sides: -3(1 - m) = -15[Division Property of Equality] Divide -3 on both sides: 1 - m = 5[Subtraction Property of Equality] Subtract 1 on both sides: -m = 4[Division Property of Equality] Divide -1 on both sides: m = -4Any help is appreciated !
Picture⬇️. Thank you!
Answer:
The bottom most option
Step-by-step explanation:
Lets divide 3 2/5 and 3 1/6
3 2/5 = 17/5 and 3 1/6 = 19/6
17/5/(19/6) = 17/5 x 6/19 = 102/95 = 1 7/95 or the last option.
Pls mark as brainliest for no real reason. Cheers
Please help asap the picture has everything needed to answer the question. Thank you!
Answer:
Step-by-step explanation:
f(x) = 0
then x =
-2 and +2
f(x) = 5
then x = +3 and -3
how to dived inters -6÷5
To make a division between two integer, for example -6÷5. The first thing we need to do is:
• Define the sign of the result.
For that we use the law of signs:
• when you divide a negative number by a positive number, the answer will be negative.
,• When you divide a positive number by a negative number, the answer will be also negative
,• When you divide a negative number by a negative number, the answer will be a positive number.
In this example, we have the first case, so the answer will be negative.
Now we move to making th division between 6 and 5, for that we arrange the numbers as follows:
And we start by finding how many times does the number 5 fits into the number 6. The answer to that is that 5 can fit into 6 one time.
Three circles with radii of 4, 5, and 6 cm, respectively, are tangent to each other externally. Find the angles of the triangle whose vertexes are the centers of the circles.
Note that the angles of the triangle whose vertexes are the centers of the circles are 50.48°, 58.99°, 70.53°.
How is this so?Three circles with radii 4, 5, and 6 from a triangle whose sides are the sum of their radii in pairs.
Thus, the sides of the triangle are
4 + 5, 4 + 6, and 5+6.
⇒ 9,, 10, 11.
To find the interior angles
CosC = a² + b² + c²/ 2ab
Cost C = (9² + 10² -11²) / (2 x9x10)
= 81 + 100 -121/180
= 60/180
= 1/3
C = 70.53°
Similar
Cos A = (10² + 11² - 9²) / (2 x10x11)
= 100 + 12181 + /180
= 140/220
= 7/11
A = 50.48°
Cos B = 9² + 11² - 10²/ 2x 9 x 11
= 102/198
B = 58.99°
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Full Question:
Although part of your question is missing, you might be referring to this full question:
See attached image.
What is the smallest number that when divided by 14 and 21 has a remainder of 1?
Answer: 208
Step-by-step explanation:
Answer:
43
Step-by-step explanation:
The LCM of 14 and 21 is 42. This is the smallest number that can be divided by both 14 and 42 without leaving a remainder
Add 1 to this so that we get a remainder of 1 when divided by 14 or 21
__4__
14) 43
42
-------------
1
43 ÷ 14 => quotient 4 and remainder 1
__2__
21) 43
42
-------------
1
43 ÷ 21 => quotient 2 and remainder 1
Determine what type of transformation is represented.
A.Reflection
B.Dilation
C.none
D.Rotation
Given situation represents rotation transformation.
The correct answer is an option (D)
What is transformation?"It is the method of transforming the shape or size of an geometric object using different rules and methods."
What is translation?"It is a geometric transformation in which the object is moved from one place to another without change in its shape, size and orientation."
What is dilation?"It is a transformation where changing the size of an object without changing its shape."
What is rotation?"It is a geometric transformation in which the object is rotated about the axis of rotation without changing the size and shape of an object."
For given question,
ΔA'B'C' is transformed to ΔABC
We can observe that if we rotate ΔA'B'C' anticlockwise through certain angle then it would match ΔABC.
Therefore, the given situation represents rotation transformation.
The correct answer is an option (D)
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