The closure property is defined as the completion of a collection of numbers by using arithmetic operations.
The closure property asserts that when an arithmetic operation such as addition, subtraction, multiplication, or division is done on any two numbers in the set, the response is another number from the same set.The closure property essentially asserts that when we add or multiply any two real numbers, we will obtain just one unique response, which will likewise be a real number. The commutative property asserts that the order of the numbers does not matter when adding or multiplying real numbers.For example, the closure property is true for whole numbers over addition and multiplication.To learn more about closure property, visit :
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one model for the number of students enrolled in u.s. public high schools as a function of time since 1986 is the formula below.
As per the given model for number of students given as a function of time since 1986 and relevant since 2000 , the number of students in 2010 is 14.67 millions.
As given,
Number of students given by formula
N =-0.033t² +0.46t +13.37
N =enrollments of students in millions
t =time
Relevant since 2000 we have to calculate N(10) ,it means after 10 years that is 2010
N(10) =-0.033×(10)² +0.46×10 +13.37
=-3.3 +4.6 +13.37
=14.67 millions
Therefore, number of students in 2010 is 14.67 millions is the correct option for the given model.
The complete question is :
One model for the number of students enrolled in U.S. Public high schools as a function of time since 1986 is the formula below
N = -0.033t2 +0.46t + 13.37. Here N is the enrollment in millions of students, t is the time in years since 1986, and the model is relevant since 2000. Explain what does N(10) means
a. Year 2010, N = 14.67 millions
b. Year 2008 , N = 11.45 millions
c. Year 2010 , N = 12.32 millions
d. Year 2008 , N = 12.12 millions
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when running a half marathon (13.1 miles), it took noah 8 minutes to run from mile marker 1 to mile marker 2, and 19 minutes to run from mile marker 2 to mile marker 4. how long did it take noah to run from mile marker 1 to mile marker 4?
It took Noah 27 minutes to run from mile marker 1 to mile marker 2, by basic algebra.
What is basic algebra?Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra.Additionally, the algebraic expressions contain the fundamental arithmetic operations of addition, subtraction, multiplication, and division.Now,
Given:
Time taken to run from mile marker 1 to mile marker 2 = 8 minutesTime taken to run from mile marker 2 to mile marker 4 = 19 minutesTo find: Total time taken to run from mile marker 1 to mile marker 4.
Finding:
By basic algebra, we can say that:
The total time taken = Time taken to run from mile marker 1 to mile marker 2 + Time taken to run from mile marker 2 to mile marker 4
=> Total time taken = 8 minutes + 19 minutes = 27 minutes.
Hence, It took Noah 27 minutes to run from mile marker 1 to mile marker 2, by basic algebra.
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-11(10x-10) = -110x+23
Question 1 of 6
What number completes the sequence below? Enter your answer in the input
box at the bottom.
12
20
28
36
Answer here
5A
13
21
?
Answer:
I am pretty sure that it is 5A
et u, v, w be three linearly independent vectors, and a, b, c be any three nonzero real numbers. prove that the vectors au, bv, cw are also linearly independent.
If your three vectors only have one or two components, they are guaranteed to not have linear independence.
What are components?A part is a practically free piece of any framework. It carries out some role and may require some information or produce some result. A part in programming is frequently addressed by classes. A part addresses at least one consistent errand.
Since, in the previous section we have derived the expression: cos θ = vx/V. sin θ = vy/V. Therefore, the formula to find the components of any given vector becomes: vx=V cos θ. vy=Vsin θ.
For instance, think about a vehicle. A constituent part or part of something more perplexing part of a vehicle. Likewise called: component any electrical gadget, for example, a resistor, that has unmistakable electrical qualities and that might be associated with other electrical gadgets to shape a circuit. Instances of part in a Sentence. the parts of an electric circuit He sells spare PC parts. The meeting is a vital part in the employing system. Difficult work has been a significant part of his prosperity.
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the radius of a circle is 15.9 in. Find the circumference to the nearest 10
Answer:
see method below
Step-by-step explanation:
circum = 2πr
= 2 x π x 15.9
work that out and will give you the answer in inches
you can use a calculator for π or use 3.142
Answer: 99.9
Step-by-step explanation:
2⋅15.9⋅π
C= 31.8π
99.9
How much principal must be deposited to earn $1,000 simple interest in 250 days at a rate of 5.05%?
The principal must be deposited to earn $1,000 simple interest in 250 days at a rate of 5.05% is $28,514.85
How is simple interest determined?
The simple interest on deposit is determined as the principal multiplied by the simple interest rate and the time of the deposit as shown below:
I=PRT
I=simple interest earned=$1,000
P=principal deposited=unknown
R=simple interest rate =5.05%
T=number of days that deposit lasted as a fraction of number of days in a year=250/360
$1000=P*5.05%*250/360
$1000=P*0.0350694444444444
P=$1000/0.0350694444444444
P=$28,514.85
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Please help! I don’t exactly understand how to do this
Answer:
-6 -3
Step-by-step explanation:
evaluate the expression if a=3/4, b=-8, c=-2, d=3, and g=1/3
If the triangle is translated 7 units to the right, then reflected over the x-axis, choose the quadrant the image will end up in and the correct coordinate for A'
Select 2 correct answers
Quadrant 2
Quadrant 3
Quadrant 4
A''(0, 3)
A''(1, -2)
Quadrant 1
A''(1, 2)
Answer:
Quadrant 4
A''(0, 3)
Step-by-step explanation:
Write a variable expression that represents the following word phrase:
Four less than half the difference of 3 and x
Answer:
Answer: -4
Step-by-step explanation:
(3-x)/2 -4=-4
Step-by-step explanation:
Difference of 3 and x : 3-x
Half of it : (3-x)/2
And then four less : (3-x)/2 - 4
Mardi received an inheritance of $60,000. she investrf part at 11% and deposited the remainder in tax-free bonds at 12%. her total annual income from the investments was $6800. find the ammount invested at 11%.
When Mardi received an inheritance of $60000, she invested part at 11% and deposited the remainder in tax-free bonds at 12%, so she gets $6800as annual income then the amount invested at 11% is $20000
Given,
The total amount Mardi received = $60000
She invested part at 11% and deposited the remainder in tax-free bonds at 12%.
Annual income from the investment = $6800
Consider the part of money invested at 11% as x
Then the equation will become
(60000-x)0.11+0.12x =6800
6600-0.11x+0.12x =6800
0.01x+6600=6800
0.01x=200
x= $20000
Hence, when Mardi received an inheritance of $60000, she invested part at 11% and deposited the remainder in tax-free bonds at 12%, so she gets $6800 as annual income then the amount invested at 11% is $20000
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Eight rational numbers are plotted on a number line.
A number line with Point A labeled at negative three halves. Point B is labeled at negative four thirds. Point C is labeled at negative three fourths. Point D is labeled at negative two thirds. Point E is labeled at two thirds. Point F is labeled at three fourths. Point G is labeled at four thirds. Point H is labeled at three halves.
Which of the following is true about opposite numbers?
Point D and Point A are opposite rational numbers because they are the reciprocal of each other.
Point D and Point E are opposite rational numbers because they are the same distance away from zero.
Point D and Point H are opposite rational numbers because they are the opposite reciprocals of each other.
Point D and Point F are opposite rational numbers because Point F is farther away from zero than Point D.
The correct option regarding opposite rational numbers is given as follows:
Point D and Point E are opposite rational numbers because they are the same distance away from zero.
What are opposite rational numbers?Rational numbers are all the numbers that can be represented by fractions. The opposite of a rational number is the number with the exchanged signal, for example, -2 is the opposite of 2 and vice-versa.
For this problem, we have that:
D = -2/3.E = 2/3.Same absolute value(distance from 0), different signals, hence the correct option is given by:
Point D and Point E are opposite rational numbers because they are the same distance away from zero.
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5x [(11-3) - (13-9)]
Answer: 20
Calculator helps lol
A given rectangle has an area of 20 square feet. What is the length for various widths??
Answer:
The area of a rectangle is the length multiplied by the width, so the width can be any factor of 20.
1, 2, 4, 5, 10 or 20
At a sale, soccer cleats were sold for
$59.50. If the original price was :
$70, what
percentage of its original price were soccer
cleats sold for?
The percentage of its original price is -17.65%
How to determine the percentage of its original price?The given parameters are
Selling price = $59.50
Original price = $70
The percentage of the original price is calculated as
Percentage = (Selling price - Original price)/Original price * 100%
Substitute the known values in the above equation
So, we have
Percentage = (59.50 - 70)/59.50 * 100%
Evaluate the difference in the above equation
So, we have
Percentage = -10.5/59.50 * 100%
Evaluate the quotient in the above equation
So, we have
Percentage = -0.1765 * 100%
Evaluate the product in the above equation
So, we have
Percentage = -17.65%
Hence, the percentage of its original price is -17.65%
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Selena rides her bicycle to work . it takes her 15 minutes to go 3 miles . if she continues at the same rate , how long will it take her to go
Answer:
5 minutes per mile
Step-by-step explanation:
15 divided by 3 = 5
What is the equation of the line that passes through the point (8,6)
and has a slope of frac{1}{4}
[tex](\stackrel{x_1}{8}~,~\stackrel{y_1}{6})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{ \cfrac{1}{4}}(x-\stackrel{x_1}{8}) \\\\\\ y-6=\cfrac{1}{4}x-2\implies y=\cfrac{1}{4}x+4[/tex]
The table shows the proportional relationship between a hedgehog's
weight loss and the number of days of hibernation. How much weight does
the hedgehog lose during 120 days of hibernation?
Explain how you know that the relationship between the hedgehog's weight
loss and the number of days of hibernation is proportional.
The hedgehog’s total change in weight over 120 days is ____ ounces.
Answer:
-3.6
Step-by-step explanation:
proportional means the amount on the right is amount on the left multiplied by some coefficient - proportion. The proportion is calculated by dividing one side by another. Since you need to calculate weight based on days, you need the proportion of weight/days, so divide -0.27/9 or -0.78/26, in all cases you'll receive -0.03. This means for each day in hibernation hedgehog loses 0.03 pounds. 120 days will be 120*-0.03 which gives you -3.6
The length and the weight of 7 pipes are 24.5m and 43.3kg respectively, find the length and weight of 12 pipes
The length and the weight of the 12 pipe is found as 42 meters and 74.23 kg
What is referred as the unitary method?"It is a method in which we obtain the value of a single unit by subtracting the results of multiple units and thus the value of multiple units by subtracting the value of a single unit."We must first divide to discover the value of one thing, and then multiply to determine the significance of more or fewer things.As, per the given question;
For, the seven pipes, the length is 24.5m.
7 pipes ---------> 24.5 m.
For the one pipe, use unitary method for solving;
Divide the equation by 7.
1 pipe -------->24.5/7 m.
For 12 pipes, multiply with 12 on both sides.
12 pipes --------> 24.5×12/7 m.
12 pipes ---------> 42 m.
Thus, the length of the 12 pipes is 42 meters.
Now, calculate the weight.
For, the seven pipes, the weight is 43.3 kg.
7 pipes ---------> 43.3 kg.
For the one pipe, use unitary method for solving;
Divide the equation by 7.
1 pipe -------->43.3 kg./7
For 12 pipes, multiply with 12 on both sides.
12 pipes --------> 43.3 kg×12/7
12 pipes ---------> 74.23
Thus, the weight of the 12 pipes is 74.23 kg.
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a turn consists of rolling a standard die and tossing a fair coin. the game is won when the die shows a $1$ or a $6$ and the coin shows heads. what is the probability the game will be won before the fourth turn? express your answer as a common fraction.
The probability that the game will be won before the fourth turn is [tex]\frac{91}{216}[/tex].
What is probability?Probability refers to the possibility of the occurrence of an event.
P(E) = probability of occurrence of an event E = [tex]\frac{Number Of Favourable Outcomes}{Total Number Of Outcomes}[/tex]
Now,
Probability of winning the game in first turn = [tex]\frac{1}{3}\frac{1}{2}=\frac{1}{6}[/tex]
Probability of losing the first game but winning the second one = [tex]\frac{5}{6}\frac{1}{6} = \frac{5}{36}[/tex]
Probability of losing the first two games but winning the third one = [tex]\frac{5}{6}(\frac{5}{6})\frac{1}{6} = \frac{25}{216}[/tex]
Thus, the probability of winning the game before fourth turn = [tex]\frac{1}{6}+\frac{5}{36}+\frac{25}{216}=\frac{91}{216}[/tex]
Hence, The probability that the game will be won before the fourth turn is [tex]\frac{91}{216}[/tex].
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Determine the solutions of the equation:
x = −11 and x = 5
x = −81 and x = 45
x = −99 and x = 45
x = −99 and x = 99
The solutions of the absolute value equation are x = −99 and x = 45.
How to determine the solutions of the absolute value equation?Here we have the absolute value equation:
| (1/3)*x + 9| - 3 = 21
First, we can add 3 in both sides so we get:
| (1/3)*x + 9| = 21 + 3 = 24
This can be decomposed into two equations, we will get:
(1/3)*x + 9 = 24
(1/3)*x + 9 = -24
Solving these two we can get the two solutions.
The first one gives.
(1/3)*x = 24 - 9 = 15
x = 3*15 = 45
The second one gives:
(1/3)*x = -24 - 9 = -33
x = 3*-33 = -99
The solutions are x = −99 and x = 45.
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A cylinder has a radius of 5 centimeters and a height of 8 centimeters. Describe how the following change affects the volume of the cylinder.
d. The dimensions are exchanged.
Answer:
no d
Radius is changed
Step-by-step explanation:
How does the simulation time (time for the circuit to compute the decimal value) change as the binary values get larger?
As you increase the input number size(increase the o. of bits) the simulator is going to perform more calculation to get the value of newly added bits by calculating 2^n (for nth bit!) and hence the running time complexity will increase exponentially .
What is an circuit?Electronic components such as resistors, transistors, capacitors, inductors, and diodes are connected by conductive wires or traces that allow electric current to flow between them. It is a specific kind of electrical circuit, and in order for a circuit to be called electronic rather than electrical, there usually needs to be at least one active component present. Signals may be amplified, calculations can be made, and data can be transported from one location to another thanks to the combination of components and wires.
Although discrete components can be assembled into circuits and connected by single wires, it is now far more typical to use photolithographic processes to make interconnections on laminated substrates and solder the individual components to these linkages.
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Help! Geometry project parabolas part 3
Answer:
[tex](x-2)^2=4(y+5)[/tex]
Step-by-step explanation:
Standard form of a parabola with a vertical axis of symmetry
[tex]\large\boxed{(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0}[/tex]
[tex]\textsf{Vertex}=(h, k)[/tex]
[tex]\textsf{Focus}=(h,k+p)[/tex]
[tex]\textsf{Directrix}:y=(k-p)[/tex]
[tex]\textsf{Axis of symmetry}:x=h[/tex]
If p > 0, the parabola opens upwards.
If p < 0, the parabola opens downwards.
From inspection of the given graph:
Vertex = (2, -5)Focus = (2, -4)Directrix: y = -6Axis of symmetry: x = 2Therefore:
h = 2k = -5k + p = -4 ⇒ -5 + p = -4 ⇒ p = 1k - p = -6 ⇒ -5 - p = -6 ⇒ p = 1Substitute the found values of h, k and p into the formula:
[tex]\implies (x-2)^2=4(1)(y-(-5))[/tex]
[tex]\implies (x-2)^2=4(y+5)[/tex]
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4+9-(-2)
Pls help asp
Step-by-step explanation:
[tex]4 + 9 - ( - 2) \\ 4 + 9 + 2 = 15[/tex]
Answer:
15
Step-by-step explanation:
➲ Solve
[tex]4+9=13\\13-\left(-2\right)\\-\left(-2\right)=+2\\13+2\\13+2=15[/tex]
PLEASE HELP!
DONT UNDERSTAND NEED ANSWERS
Answer:
Answer is 3
Step-by-step explanation:
they want to know or ask what time the three plus the five will give u 14.
The graph of the function f is shown. Find f(4).
-2 -1
S
4
w
2
1
-1
-2
-3
A
1
-2
B 0
C 2
D 5
2
4 5 6
The value of f(4) on the graph is 2
How to determine the value of f(4)?The figure (i.e. graph) represents the given parameter
The expression f(1) implies that we determine the value of f(x) when x = 1
On the graph, we have the following value:
When x = 4, f(x) = 2
This means that
f(4) = 2
Hence, the value of f(4) on the graph is 2
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find the volume of the parallelepiped with adjacent edges pq, pr, and ps. p(−2, 1, 0), q(4, 4, 4), r(1, 4, −1), s(3, 6, 1)
The volume of the parallelepiped with adjacent edges PQ, PR, and PS is 24 cubic units.
What is parallelepiped?Six parallelograms come together to form a three-dimensional shape called a parallelepiped (the term rhomboid is also sometimes used with this meaning). It is comparable to a parallelogram in the same way that a cube is comparable to a square. In Euclidean geometry, the four concepts—parallelepiped and cube in three dimensions, parallelogram, and square in two dimensions—are specified; however, only parallelograms and parallelepipeds exist in the setting of a more generic affine geometry, where angles are not discriminated.
There are three similar descriptions of a parallelepiped:
A polyhedron called a hexahedron, which has six parallelogram-shaped facesThree pairs of parallel faces on a hexahedron, andA prism with a parallelogram as its base.We have been that p(−2, 1, 0), q(4, 4, 4), r(1, 4, −1), and s(3, 6, 1) are the adjacent edges of parallelepiped
PQ = Q-P = <6,3,4>
PR = R-P = <3,3.-1>
PS= S-P = <5,5,1>
[ PQ PR PS] = [tex]\begin{vmatrix}6& 3 & 4 \\ 3& 3 &-1 \\ 5 & 5 & 1 \\ \end{vmatrix}\\ \notag&& \\[/tex]
= 6(3+5)-3(3+5)+4(15-15)
= 6×8-3×8+0
=48-24
=24
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Simplify the following expression: $\sqrt{28 + \sqrt{1296}}$
Answer:
I assumed you meant to write √28 + √1,296. The answer is 2√7 + 36.
Step-by-step explanation:
[tex]\sqrt{4 * 7} + \sqrt{1296} \\\sqrt{2^2 * 7} + \sqrt{1296}\\2\sqrt{7} + \sqrt{1296}\\ 2\sqrt{7} + \sqrt{36^2}\\= 2\sqrt{7} + 36[/tex]