Answers
The null set is the set containing weeks with eight days.
We are given four statements that describe a set of elements. We need to find the null set. The null set is one that does not have even a single element present in it.
The first set consists of mugs with handles. It is not a null set because most mugs have handles.
The second set is of dogs with four legs. It is not a null set because most dogs have four legs.
The third set consists of weeks with eight days. It is a null set because each week has only seven days.
The fourth set is of books with pages. It is not a null set because most books have pages.
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Related Questions
The cost of attending an amusement park is $15 for children and $35 for adults. On a particular day, the attendance at the amusement park is 25,000 attendees, and the total money earned by the park is $600,000. Use the given matrix equation to solve for the number of children’s tickets sold. Explain the steps that you took to solve this problem.
Answers
The number of children's tickets sold is 13750.
Let the number of children be x and the number of adults be y.
The total number of attendance at the amusement park is 25,000.
So we have an equation
x + y = 25000 ......(i)
The cost for children is $15 and the cost for adults is $35, and the total money earned by the park is $600,000.
So we have another equation,
15x + 35y = 600,000
3x + 7y = 120,000 ......(ii)
Multiplying equation (i) with 3 we get
3x + 3y = 75000
3x + 7y = 120,000
Now subtract both the equation we have,
4y = 45000
y = 11250
Now put the value of y in equation (i) we get
x + 11250 = 25000
x = 13750
Where x is the number of children's tickets sold.
Therefore the number of children's tickets sold is 13750.
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what is 2 2/5 - 3 1/2
Answers
If 2x - 2 < 8 + x, then x <
A) 2
B) 4
C) 9
D) 10
Answers
Answer:
D) 10
Step-by-step explanation:
2x - 2 < 8 + x
add 2 to both sides:
2x - 2 + 2 < 8 + x + 2
2x < 10 + x
subtract x from both sides:
2x - x < 10 + x - x
x < 10
I want a line with equation y=mx+9 to pass through the point (10,10). What is m?
please please help
Answers
Answer:
y = 0.1x + 9Step-by-step explanation:
Given
Line y = mx + 9,Point (10 , 10).To find the slope plug in the coordinates of the given point, x = 10 and y = 10 and solve for m:
10 = 10m + 910m = 10 - 910m = 1m = 1/10m = 0.1The line is:
y = 0.1x + 9which statement is true of this function f x equals 1/5 - 2
Answers
Its a decreasing function, and the y-intercept is NOT on (0, -2).
The correct option is A
(A) As the value of x increases, the value of f(x) moves towards a constant
a cooler at picnic contain
Answers
we know that
the total cans are 100
number of cans of root beer=24
number of cans of orange soda=12
number of cans of cola=16
therefore
the probability is equal to
P=(24+12+16)/100
P=52/100
P=0.52 or P=52%
as fraction is 52/100=26/50=13/25
answer is 13/25
Jeffrey has been visiting family in Arizona and is about
511 miles away from home.
If Jeffrey drives an average speed of 60 mph, how
many hours will it take for him to get home? (Round
your answer as seems appropriate.)
Define your variable:
Label for Solution
Change My Variable
Equation (use x)
Answers
We can conclude that Jeffry will reach his home in the time of 9 hours.
What is time?Time can be described in mathematics as an ongoing and continuous series of events that take place one after another, from the past through the present and into the future. The duration of events or the gaps between them can be measured, compared, or even ordered using time.So, the time taken by Jeffrey to get home:
The distance is 511 miles.The speed is 60 mph.The time formula: T = d/sWhere d is distance and s is speed.Now calculate time as follows:
T = d/sT = 511/60T = 8.51Rounding off: 9 hours
Therefore, we can conclude that Jeffry will reach his home in the time of 9 hours.
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I’m needing guidance solving this equation 9x-9=3x+7
Answers
GROUP THE LIKE TERMS FIRST.
[tex]9x - 3x = 7 + 9[/tex]
WHEN TERMS CROSS THE EQUAL SIGN THEY CHANGE SIGN.
[tex]6x = 16 \\ \frac{6x}{6} = \frac{16}{6} \\ x = \frac{16}{6} [/tex]
x can be simplified further
[tex]x = \frac{8}{3} [/tex]
HOPE THIS HELPS.
Answer:
The answer should be x=2.6
Step-by-step explanation:
9x-9=3x+7
-first you should move the numbers so you can get all your x values on one side and all your regular numbers on the other like this
9x-3x=7+9
-What i basically did was i passed the 3x from the right side to the left side of the equation, since in adding the 3x originaly, when i pass it to the left side itll be subtracting. then i passed my -9 to the right side of my equation, since i was subtracting originaly ill have to now switch it to adding
-after you do this you are going to want to want to combine like terms
6x=16
-then you are going to want to devide on both sides so you can get x alone
x=2.6
Triangle ABC is shown in this figure. 2 A B Which statement justifies that the sum of Angle 1 and Angle 2 is 180°? O All adjacent angles are supplementary. O Adjacent angles that form a linear pair are supplementary. O The sum of any interior and any exterior angle of a triangle is 180° 0 Each pair of interior and exterior angles that lie on a line is complementary
Answers
The answer is Adjacent angles that form a linear pair are supplementary.
ASAP PLEASE HURRY
What is the value of q − 8 if q = −18?
A. 26
B. -26
C. 10
D. -10
Answers
Answer:
-26
Step-by-step explanation:
Q = -18
-18 - 8
-26
Hope this helps! :)
the table shows the population of California during the 20th century. which type of function best models this data?
Answers
Given data:
The given table is shown.
Draw the points on the graph paper as shown below.
Please help me i’m begging so much
Answers
the equation of three lines are given below line 1:y=5/3x-6line 2:10x-6y=8line 3: 3y=5x+7for each pair of lines determine whether they are parallel perpendicular or neither line1 and line 2: parallel perpendicular or neither Line 1 and line 3:parallel perpendicular or neither line 2 to a line 3:parallel perpendicular or neither
Answers
line 1 = y = 5/3 x - 6
Find the slope of the line by comaring it with y = mx+ b
m= 5/3
Line 2
Write the equation in the form y =mx +b and find the slope m
10x - 6y = 8
6y = 10x - 8
Divide through by 6
y = 10/6 x - 8/6
y = 5/3 x - 4/3
m= 5/3
Line 3
3y = 5x + 7
Also write in the form y =mx + b and find the slope m
y = 5/3 x + 7/3
m = 5/3
Line 1 and line 2 are parallel since they have the same slope
Line 1 and 3 are parallel (they have the same slope)
Line 2 and 3 are parallel, they have the same slope
USChoose the definition for the function.1(-x + 2 x < 1 --x+ 2 x > 1C. Y = { x + 1x S1a.y=x+1--x+ 2 x51 d. y = { x+1b. y = x + 1-x + 2 x 2 16*x > 1Enter
Answers
Given data:
The given graph.
The equation of the line when x is less than or equal to 1 is,
x+1
he equation of the linne when x is greater than 1 is,
-x+2.
Thus, the correct option is (c).
Question content area top
Part 1
A box of cereal states that there are calories in a
-cup serving. What is the unit rate for calories per cup? How many calories are there in of the cereal?
Answers
The unit rate for calories per cup is 100 calories per cup.
There is 400 calories in 4 cup of cereal.
Given,
The amount of calories in 3/4 of the cup = 75 calories
We have to find the unit rate of calories per cup.That is,
Unit rate of calories = 75 / (3/4)
Unit rate of calories = 75 × (4/3)
Unit rate of calories = 25 × 4
Unit rate of calories = 100
There are 100 calories in a cup of cereals.
Now,
We have to find the calories in 4 cup of cereals.Calories in 4 cup = Calories in one cup × 4
Calories in 4 cup = 100 × 4
Calories in 4 cup = 400
So,
There are 400 calories in 4 cup of cereals.
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What is the correct answer
Answers
∠GJI ≅ ∠LKF is proved below.
What is congruent?If two shapes are similar in size and shape, they are congruent. We can also state that if two shapes are congruent, then their mirror images are identical. If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent, or to be in the relation of congruence.
Given Data
EF║GH
AB║CD
In given figure,
AB║CD,
While line segment GH is the transversal line.
So,
∠GJI ≅ ∠JLK (because it is corresponding angle) ..(1)
Also,
EF ║GH
Line segment DL is the transversal line.
So,
∠JLK ≅ ∠LKF (because it is interior alternate angle)..(2)
From (1) and (2)
∠GJI ≅ ∠LKF
Hence, proved.
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Please show steps 1/2 divided by 1/2
Answers
To divide by a fraction is the same as multiplying by the reciprocal, which is (2/1), or just 2.
(1/2) x (2/1) = (2/2) = 1
multiply across and simplify
November 1 Accepted a $4,000, 180-day, 6% note from Kelly White in granting a time extension on her past-due account receivable. December 31Adjusted the year-end accounts for the accrued interest earned on the White note. April 30White honored her note when presented for payment. Complete the table to calculate the interest amounts on December 31st and April 30th and use those calculated values to prepare your journal entries.
Answers
The interest amounts on December 31st and April 30th are $100, $33, and $67. Also, the journal entries are mentioned below.
What are Journal entries?A journal entry is an act of recording any transaction, whether one is economic or not.An accounting diary that displays the debit and credit balances of a corporation lists transactions. Multiple recordings, each of which is either a debit or a credit, may be included in the journal entry.The amount of the debits and credits must be equal in order for the journal entry to be declared balanced.Depreciation or bond amortization are examples of recurring items that can be recorded in journal entries.Accounts payable normally has its own sub-ledger that indirectly impacts the general ledger, and journal entries are frequently filed using a different module in accounting software.The Computation of the interest amount is shown below:-
Particulars Total through Through maturity Through maturity
Maturity Dec 31 Apr 30
Principal $4,000 $4,000 $4,000
Rate 5% 5% 5%
Time 180 ÷ 360 60 ÷ 360 120 ÷ 360
Total interest $100 $33 $67
2. The Journal entries are shown below:-
a. Notes receivable Dr, $4,000
To accounts receivable $4,000
(Being issuance of notes is recorded)
b. Interest receivable Dr, $33
To Interest revenue $33
(Being interest revenue is recorded)
c. Cash Dr, $4,100
To Notes receivable $4,000
To Interest revenue $67
To Interest receivable $33
(Being cash received is recorded)
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Consider the following system of equations 4x + 6=24 and 2x + 3y=8 How many solutions does this system have? Justify your answer. Part B If we triple each side of the first equation 4x+6y=24, we have 12x+18y=72. Explain why the new system 12x+18y=72 and 2x+3y=8 has the same number of solutions as the original system.
Answers
For the given system of equations 4x + 6y=24 and 2x + 3y=8, there is no solution exists.
What is defined as the system of equations?When two or more equations are solved together in algebra, the solution should satisfy all of the equations with in system. The amount of equations must equal the amount of unknowns for a system to produce a unique solution. Even so, no solution is guaranteed. If there is a solution, the system has been consistent; otherwise, it is inconsistent.For the given system of equation,
4x + 6y =24 ......eq 1
and 2x + 3y = 8 ..... eq2
use elimination method.
Multiply eq 2 with 2 and subtract from eq 1.
0 = 16
But 0 ≠ 16, the system of equation becomes untrue.
As, the values o f the variables x and y are getting cancelled. So, the there is no solution existed for the given system.
Also,the ratio of 4x/2x = 2 and 6y/3y = 2 is same thus, no solution is possible for the system.
Now, when the we triple each side of the first equation 4x+6y=24, we have 12x+18y=72.
The new system 12x+18y=72 and 2x+3y=8
Then, also 12x/2x = 6 and 18y/3y = 6 is also same. Then, also the system of equation does not have any solution of the system.
Thus, the system of equation does not have any solution.
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(2580+2920+x)/3=3000
Answers
Answer:
x = 3500
Step-by-step explanation:
2580 + 2920 + x
------------------------ = 3000
3
5500 + x
------------------------ = 3000(3)
3(3)
5500 + x = 9000
-5500 -5500
------------------------------
x = 3500
I hope this helps!
Write a unit rate for the situation
$45.00 for 9 pounds
$24 for 3 pound
$390 for 6 pounds
$42 for 21 pounds
$180 for 10 pounds
$864 for 8
Answers
The unit rate for each situation is $5.00 for 1 pound, $8 for 1 pound, $65 for 1 pound, $2 for 1 pound, $18 for 1 pound, $108 for 1 pound
What is unit rate and how to compute it?
Unit rate is the rate for 1 unit and to compute the unit rate we divide the total price by the total number of elements
We are given certain price we have to find there unit rate
a) $45 for 9 pound
Divide both sides by 9 to find the unit rate
we get $5 for 1 pound
a) $24 for 3 pound
Divide both sides by 3 to find the unit rate
we get $8 for 1 pound
a) $390 for 6 pound
Divide both sides by 6 to find the unit rate
we get $65 for 1 pound
a) $42 for 21 pound
Divide both sides by 21 to find the unit rate
we get $2 for 1 pound
a) $180 for 10 pound
Divide both sides by 10 to find the unit rate
we get $18 for 1 pound
a) $864 for 8 pound
Divide both sides by 8 to find the unit rate
we get $108 for 1 pound
Hence the unit rates are for each situation is $5.00 for 1 pound, $8 for 1 pound, $65 for 1 pound, $2 for 1 pound, $18 for 1 pound, $108 for 1 pound
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PLEASE HURRY IM GIVING POINTS!!!!!!!!!
Part A: Given the function
g(x) = |x - 5| describe the graph of the function, including the vertex, domain, and range.
Part B: If the parent function
f(x) = |x| is transformed to
h(x) = Ix| + 3, what transformation occurs from f(x) to h(x)? How are the vertex and range of h(x) affected?
Answers
Part A: The vertex, domain, and range of the function g(x) = |x-5| is
( 5, 0 ), ( - ∞ , ∞ ) and [0, ∞ ).
Part B: The function f(x) = |x| is vertically shifted by 3 units to get the function h(x) = |x| + 3. The y - coordinate of the vertex is shifted by 3 units.
In Part A:
The given function is;
g(x) = | x - 5 |.
Now, The x - coordinate of the vertex will be:
x - 5 = 0
x = 5
Therefore, the y- coordinate of the vertex will be:
y = g(x) = | x - 5 |
y = g(7) = | 5 - 5|
y = 0
So, The vertex of the absolute function is ( 5, 0 ).
Since, All real numbers fall under the expression's domain, with the exception of cases where it is undefined. In this case, the phrase is defined even if there is no real number.
Hence, In Interval Notation the domain is;
⇒ ( - ∞ , ∞ )
And, The set of all legitimate y values is the range.
Hence, In Interval Notation the range is:
⇒ [0, ∞ )
Now, In Part B:
Function h(x) = |x| + 3 is the transformed version of the parent function
f(x) = |x|.
For the parent function f(x) = |x|, the vertex is ( 0, 0).
Since, The range of an absolute function in the form c( | ax + b | ) + k is
f(x) ≥ k.
Therefore, The range of the function f(x) = |x| is f(x) ≥ 0 and in interval notation is [ 0, ∞ ).
For the transformed function h(x) = |x| + 3.
The vertex of the function is ( 0, 3 ).
The range of function is h(x) ≥ 3 and in interval notation is [3, ∞ ).
Hence, the y coordinate of the vertex is transformed by 3 from f (x) to h(x).
So, Part A: The vertex, domain, and range of the function g(x) = |x-7| is
( 5, 0 ), ( - ∞ , ∞ ) and [0, ∞ ).
Part B: The function f(x) = |x| is vertically shifted by 2 units to get the function h(x) = |x| + 3. The y coordinate of the vertex is shifted by 3 units.
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What is the most precise name for quadrilateral ABCD with verticesA(-5, 7), B(6,-3), C(10, 2), and D(-1, 12)?A. rectangleB. rhombusC. squareD. parallelogram
Answers
Given that
The vertices of a quadrilateral are A(-5, 7), B(6,-3), C(10, 2), and D(-1, 12).
So we have to find the type of quadrilateral ABCD.
Explanation -
First, we have to find the length of each side AB, BC, CD, and DA.
We will use the distance formula to find the length of each side
[tex]\begin{gathered} T\text{he distance formula for point \lparen x}_1,y_1)\text{ and \lparen x}_2,y_2)\text{ is } \\ d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \end{gathered}[/tex]Now we will find the sides by substituting the value,
[tex]\begin{gathered} For\text{ AB,} \\ AB=\sqrt{(6-(-5))^2+(-3-7)^2} \\ \\ AB=\sqrt{(6+5)^2+(-10)^2}=\sqrt{11^2+10^2}=\sqrt{121+100}=\sqrt{221} \\ \\ AB=\sqrt{221}\text{ units} \end{gathered}[/tex][tex]\begin{gathered} For\text{ BC,} \\ BC=\sqrt{(10-6)^2+(2-(-3))^2} \\ BC=\sqrt{4^2+(2+3)^2} \\ BC=\sqrt{16+25}=\sqrt{41} \\ BC=\sqrt{41}\text{ }units \end{gathered}[/tex][tex]\begin{gathered} For\text{ CD} \\ CD=\sqrt{(-1-10)\placeholder{⬚}^2+(12-2)\placeholder{⬚}^2} \\ CD=\sqrt{(-11)^2+(10)^2} \\ CD=\sqrt{121+100} \\ CD=\sqrt{221}\text{ units} \end{gathered}[/tex][tex]\begin{gathered} For\text{ DA,} \\ DA=\sqrt{(-1-(-5))^2+(12-7)^2} \\ DA=\sqrt{(-1+5)^2+5^2} \\ DA=\sqrt{4^2+5^2}=\sqrt{16+25} \\ DA=\sqrt{41}\text{ units} \end{gathered}[/tex]So we found that the opposite sides are equal. So it can be a parallelogram or a rectangle.
Now, we will check the triangular part ABC, by applying Pythagoras' theorem.
[tex]\begin{gathered} In\text{ trianlge ABC, } \\ AC=\sqrt{(10-(-5))^2+(2-7)^2}=\sqrt{(10+5)^2+(-5)^2} \\ AC=\sqrt{15^2+5^2} \\ AC=\sqrt{225+25}=\sqrt{250} \\ Now\text{ using pythagoras theorem we have,} \\ AC^2=AB^2+BC^2 \\ \sqrt{250}^2=\sqrt{221}^2+\sqrt{41}^2 \\ 250=221+41 \\ 250\ne262 \end{gathered}[/tex]So it is a parallelogram. Then option D is correct.
Final answer -
The final answer is a parallelogram.Are the proof and the identity valid? if not, what is the invalid step in the proofStep 1: x (9x+3) +3(x+3)=9x²+6x+9Step 2: =(3x+3)²Step 3: =(3(x+1))²Step 4: =9(x+1)²A) the proof is validB) step 2 is not validC) step 1 is not validD) step 3 is not valid
Answers
Are the proof and the identity valid? if not, what is the invalid step in the proof
Step 1: x (9x+3) +3(x+3)=9x²+6x+9
Step 2: =(3x+3)²
Step 3: =(3(x+1))²
Step 4: =9(x+1)²
A) the proof is valid
B) step 2 is not valid
C) step 1 is not valid
D) step 3 is not valid
Verify each step
step 1
x (9x+3) +3(x+3)
=9x^2+3x+3x+9
=9x^2+6x+9
step 1 is correct
step 2
Complete squares
9x^2+6x+9=0
Factor 9
9(x^2+6/9x)+9=0
9(x^2+2/3x)+9=0
9(x^2+2/3x+4/36-4/36)+9=0
9(x^2+2/3x+4/36)+9-1=0
9(x^2+2/3x+4/36)+8=0
9(x+2/6)^2=-8
therefore
step 2 is not validWhich of the following statements is true about the graph shown?
The equation y = 4.5x is correctly represented by the graph.
The graph is incorrect and the line should go through the point (3, 13.5).
The graph is incorrect and the line should go through the point (4.5, 4.5).
The graph does not show a proportional relationship.
Answers
Answer:
B. The graph is incorrect and the line should go through the point (3, 13.5)
Step-by-step explanation:
The equation is y = 4.5x
y = the y-axis/dependent variable
x = the x-axis/independent variable
4.5 x 1 = 4.5
4.5 x 2 = 9
4.5 x 3 = 13.5
Therefore the written ordered pairs would look like this.
(1, 4.5)
(2, 9)
(3, 13.5)
In the graph, (3, 13.5) is graphed as (13.5, 3) making the graph incorrect.
The statement which is true about the graph shown is that: the graph is incorrect and the line should go through the point (3, 13.5).
How to interpret the graph?Generally speaking, the graph of any linear function is always modeled by a straight line and it indicates a proportional relationship because it starts from the origin (0, 0).
Mathematically, a proportional relationship can be represented or modeled by the following linear equation:
y = kx
Where:
k represents the constant of proportionality.x and y represents the data points, variables, or coordinates.At data point (4.5, 4.5), we have:
y = 4.5x
y = 4.5(4.5)
y = 20.25 (incorrect).
At data point (3, 13.5), we have:
y = 4.5x
y = 4.5(3)
y = 13.35 (correct).
Therefore, we can logically deduce that this graph is incorrect because its line didn't pass through the data point (3, 13.5).
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Find the altitude of rhombus whose area is 208 cm² and perimeter is 64 cm.
Answers
Given the area of a rhombus is 208 cm square and the perimeter of rhombus is 64 cm.
Recall that all the sides of the rhombus are equal.
Hence,
[tex]\begin{gathered} \text{perimeter}=4\times sides \\ 64=4\times\text{side} \\ 16cm=\text{side} \end{gathered}[/tex]Area of rhombus is :
[tex]\begin{gathered} area=base\times height \\ 208=16\times h \\ h=\frac{208}{16} \\ h=13\operatorname{cm} \end{gathered}[/tex]Hence the altitude of the Rhombus is 13 cm.
what is this pleaseeee
Answers
The correct option C: y = (x + 2)(x -3)²(x - 1)² is function which correctly represents the given graph.
What is defined as the graphing?A diagram that depicts the relationship between quantities, particularly one in which lines, bars, as well as proportional areas portray how a quantity depends on it or changes with the other. A curve or line depicting a mathematical function or eq, usually drawn in Cartesian coordinates.In mathematics, a graph is characterized as a pictorial representation or diagram that organizes data or values.The graph's points frequently depict the connection between two or more variables.For the given graph;
Select one coordinate of the curve from the graph.
Point (0, 18); in which y is 18 for x = 0.
Now, go by option and put the value of x = 0 and find the correct value of y.
Option C: y = (x + 2)(x -3)²(x - 1)²
Put x = 0
y = (0 + 2)(0 -3)²(0 - 1)²
y = (2)(-3)²(- 1)²
y = 18
We, get the correct coordinates (0, 18).
Thus, the correct option is C, which satisfies the given graph.
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Which expression is equivalent to the following complex fraction?3.4X-12x-2-X-12(x-2)O-4x+7-4x+72(x-2)-4x+72(x2-2)21x2 - 2)-4x+7
Answers
Solution
For this case we can do the following:
[tex]\frac{3}{x-1}-4=\frac{3-4x+4}{x-1}[/tex][tex]2-\frac{2}{x-1}=\frac{2(x-1)-2}{x-1}[/tex]And if we simplify we got:
[tex]\frac{3-4x+4}{2(x-1)-2}=\frac{7-4x}{2x-2-2}=\frac{7-4x}{2x-4}=\frac{-4x+7}{2(x-2)}[/tex]Final answer would be:
-4x+7 /( 2(x-2))
What is the slope of the line on the graph?
Enter your answer in the box.
PLEAZ HELP
Answers
Answer:
-2, 6 or -2/6 is what im seeing i could be wrong though
Step-by-step explanation:
sub to imaginefn
what’s the correct answer answer asap for brainlist
Answers
Answer:
B
Step-by-step explanation:
Answer:
Step-by-step explanation:
B: played by solo instrument with orchestral accompaniment.