Answer:
student A: the third step, they subtracted 16 squared from 24 squared, without figuring out what the squared values were.
student B: is correct
student C: step four, they didn't find the square root of 320, they kind of just took the square off of b and called it good.
Step-by-step explanation:
i hope this helps :)
.
The perimeter of a triangle is 104 units. The combined length of two of the sides of the triangle is 64 units.
What is the length of the third side of the triangle in units?
The equation that represents the third side of the triangle is x + 64 = 104 and its solution is 40 units.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The perimeter of the triangle is determined by adding together all of its sides.
The perimeter of a triangle is 104 units. The combined length of two of the sides of the triangle is 64 units.
Let the third side be 'x'. Then the equation is given as,
x + 64 = 104
x = 104 - 64
x = 40 units
The equation that represents the third side of the triangle is x + 64 = 104 and its solution is 40 units.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ9
Fred did 600 J of work in 60 seconds. Calculate his power.
O
A. 600 W
B. 100 N
C. 500 N
OD. 10 W
Answer:
To calculate Fred's power, we can use the formula:
Power = Work / Time
Given that Fred did 600 J of work in 60 seconds, we can substitute the values into the formula:
Power = 600 J / 60 s
Power = 10 W
Therefore, the correct answer is:
D. 10 W
Step-by-step explanation:
Answer:
Power = Work/Time
Power = 600 J/60 s = 10 W
Therefore, the answer is D. 10 W.
Step-by-step explanation:
Select the correct answer from each drop-down menu.
A candy company designs a package to hold chocolates. The height of the container is 13 inches and the diameter of its bottom is 9 inches.
9 in i
13 in
Which shape best models the package, and what is the approximate surface area of the package?
The best model for the package is a
The approximate surface area is
square inches.
The approximate surface area of the package is approximately 245.05 square inches.
The best model for the package is a cylinder.
To calculate the approximate surface area of the package, we need to find the lateral surface area of the cylinder and the area of the circular base.
The lateral surface area of a cylinder can be calculated using the formula:
Lateral Surface Area = 2πrh
where r is the radius of the base and h is the height.
The area of the circular base can be calculated using the formula:
Area of Base = \(πr^2\)
Given that the diameter of the bottom is 9 inches, the radius (r) would be half of that, which is 4.5 inches.
Using the given height of 13 inches, we can now calculate the surface area:
Lateral Surface Area = 2πrh = 2π(4.5)(13) ≈ 117.81 square inches
Area of Base = \(πr^2 = π(4.5)^2 ≈ 63.62\) square inches
To find the total surface area, we add the lateral surface area and the area of the base:
Total Surface Area = Lateral Surface Area + 2 × Area of Base = 117.81 + (2 × 63.62) ≈ 245.05 square inches
Therefore, the approximate surface area of the package is approximately 245.05 square inches.
For such more questions on Candy Package: Shape & Area
https://brainly.com/question/27601000
#SPJ8
What the meaning of "f is order-preserving if x < y implies f(x) < f(y)"?
An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.
In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.
Order-Preserving Function:
A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.
Increasing Function:
If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).
Isomorphism:
A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:
a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).
b. f is onto (surjective): Every element in Q has a pre-image in P.
When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.
Automorphism:
An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.
These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.
Learn more about function here:
https://brainly.com/question/11624077
#SPJ8
If $1,000 is invested at an interest rate of 10% per year, compounded monthly, find the amount of the investment at the end of 4 years
Answer:
$1489.35
General Formulas and Concepts;
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Compounded Interest Rate Formula: \(\displaystyle A = P(1 + \frac{r}{n})^{nt}\)
P is principle amountr is raten is compounded ratet is time (in years)Step-by-step explanation:
Step 1: Define
Identify variables
P = 1000
r = 10% = 0.1
n = 12
t = 4
Step 2: Solve for A
Substitute in variables [Compounded Interest Rate Formula]: \(\displaystyle A = 1000(1 + \frac{0.1}{12})^{12(4)}\)(Parenthesis) Add: \(\displaystyle A = 1000(\frac{121}{120})^{12(4)}\)[Exponents] Multiply: \(\displaystyle A = 1000(\frac{121}{120})^{48}\)Evaluate exponents: \(\displaystyle A = 1000(1.48935)\)Multiply: \(\displaystyle A = 1489.35\)rolling an even
number and the
coin landing on
heads
Answer:
\(\frac{1}{4}\)
Step-by-step explanation:
Rolling a even: \(\frac{3}{6} -> \frac{1}{2}\)
Coin on heads: \(\frac{1}{2}\)
\(\frac{1}{2}\)×\(\frac{1}{2} =\frac{1}{4}\)
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. 1, 2−√3
The polynomial function is \(f(x) = x^3+(\sqrt3-3)x^2+(2-3\sqrt3)x+2\sqrt3\).
What is standard polynomial function?The standard polynomial is given by:
f(x) = a(x-p)(x-q)(x-r) ...
Where a is the leading coefficient and p and q are the zeros.
Here We are given that the zeros are x = 1,2,and −√3.
Now leading Coefficient a = 1, p=1 , q=2 and r=−√3
Then the function is,
=> f(x) = 1(x-1)(x-2)(x-(−√3))
=> f(x)=(x-1)(x-2)(x+√3)
=> f(x)=\((x^2-2x-x+2)(x+\sqrt3)\)
=> \(f(x)=x^2-3x+2(x+\sqrt3)\)
=>\(f(x)=x^3+\sqrt3 x^2-3x^2-3\sqrt3 x+2x+2\sqrt3\)
=> \(f(x) = x^3+(\sqrt3-3)x^2+(2-3\sqrt3)x+2\sqrt3\)
Hence the polynomial function is \(f(x) = x^3+(\sqrt3-3)x^2+(2-3\sqrt3)x+2\sqrt3\).
To learn more about polynomial function refer the below link
https://brainly.com/question/2833285
#SPJ1
what is the solution for a.
ab+c=d
Answer:
The second option
Step-by-step explanation:
Un coche tarda 12 minutos en dar la vuelta a un circuito si va a una velocidad de 80 km/h. Cuánto tiempo tardara en recorrer el mismo circuito si va a una velocidad de 100 km/h?
A sample of matter experiences a decrease in average kinetic energy as it continues to cool. One would anticipate that the particles will eventually come to a complete stop. The temperature at which particles should theoretically stop moving is absolute zero. Thus, option B is correct.
What theory directly contradicts concept of absolute zero?
All molecules are predicted to have zero kinetic energy and, as a result, no molecular motion at absolute zero (273.15°C). Zero is a hypothetical value (it has never been reached).
Absolute zero signifies that there is no kinetic energy involved in random motion. A substance's atoms don't move relative to one another.
Therefore, Kinetic energy because it can create heat which goes against the absolute zero. A gas molecule's kinetic energy tends to zero when the temperature reaches absolute zero.
Learn more about theory here:
brainly.com/question/18996125
#SPJ2
What is 6 more than 2 times a number
Answer:
2x +6
Step-by-step explanation:
represent the number by x
more than means + so you add it with 2x
use the graph of the function g to answer the following. use correct formatting for your work
\(find \: \: f( - 2)\)
\(solve \: f(x) = - 5. \: write \: your \: answer \: as \: a \: solution \: set\)
\(what \: is\: the \: domai \: and \: range \: of \: function \\ \: f \: use \: words \: interval \: or \: set \: notation\)
\(domain\)
\(range\)
9514 1404 393
Answer:
f(-2) = 4f(1) = -5D: [-3, ∞)R: [-5, 11]Step-by-step explanation:
You have marked the points on the graph corresponding to ...
f(-2) = 4
f(1) = -5
__
The domain is the horizontal extent, from x = -3 to +∞.
The range is the vertical extent, from y = -5 to +11 (inclusive).
It costs $350 to spend 4 nights at the Econo Motel. It costs $475 to spend 6 nights at the Bluebird Inn. Which of these statements is true?
Answer: A
Step-by-step explanation: The bluebird Inn is more expensive per night because 475 is greater than 350.
A rectangular living room has a perimeter of 40 meters. It’s area is 100 square meters.what are the dimensions of the living room
Answer:
Step-by-step explanation:
Firstly, I presume that the question talks about a rectangle and there is consistency in units i.e.Area is in units^2 and perimeter is in units (else there is no possible solution).
Now, perimeter = 2(L+B) = 40
OR (L+B) = 20.
Also, area = LxB = 100.
Now, LxB = 100 will give you the following values for LxB (Note in a rectangle, L>B or L=B):- (100×1),(50×20),(25x4),(20×5),(10×10).
Only one value gives L+B = 20 viz.L=10 & B=10.
Hope this helps! :)
(This was by another user you can search it up and see.)
Kitty has invested £5500 for 3 years in a savings account. She is paid 6% per annum compound interest. How much did she have in her savings account at the end of the 3 years?
The value of her investment at the end of 3 years is £10955.08
How to determine the value?The given parameters are
Principal, P = £5000Rate, r = 6%Time, t = 3 yearsThe value is then calculated as:
Value = P * P(1 + r)^t
So, we have:
Value = 5000 + 5000 * (1 + 6%)^3
Evaluate the expression
Value = 10955.08
Hence, the value of her investment at the end of 3 years is £10955.08
Read more about compound interest at:
brainly.com/question/24924853
#SPJ1
63 + (15 - 6) x 14 + 2
Answer:
191
Step-by-step explanation:
1) Simplify 15-6 to 9
63 + 9 x 14 + 2
2) Simplify 9 x 14 to 126
63 + 126 + 2
3) Simplify 63 + 126 to 189
189 + 2
4) Simplify
191
HELPPP ASAPPP !!!
2. Point A on the graph below represents Nate's house, and Point B represents Nate's favorite restaurant. B A If each unit on the graph represents 3/4 of a mile, how many miles does Nate live from his favorite restaurant?
Answer:
10miles I think
Step-by-step explanation:
The required distance between, Nate's house and the restaurant is 7.5 miles.
From the graph,
Consider point C on the graph, which is 6 and 8 units apart from A and B respectively.
The distance between, Nate's house and the restaurant is given as,
AB = √[AC² + BC²]
AB = √[6² + 8²]
AB = 10 units
Now 1 unit = 3/4 miles
AB = 10 * 3/4
AB = 7.5 miles
Thus, the required distance between, Nate's house and the restaurant is 7.5 miles.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ1
1. I ............. she will to the party, I really want to see her.
a) expect
b) hope
c) want
d) believe
Answer:
1. I ............. she will to the party, I really want to see her.
a) expect
b) hopec) want
d) believe
Step-by-step explanation:
You're welcome.
6 minutes 20 seconds into seconds.
Answer:
380 seconds
Step-by-step explanation:
Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360
Now add the 20 seconds.
360 + 20 = 380
6 minutes and 20 seconds are equal to 380 seconds.
A fair die is tossed. The following table represents the probability distribution of the experiment.
To get the standard deviation of the probability distribution, we will use the formula below
\(\sigma=\sqrt[]{\sum ^{}_{}(x-\bar{x})^2\times P(x)}\)where
\(\begin{gathered} \bar{x}=mean \\ x=\text{value } \\ P(x)=\text{probability of the value occurring} \end{gathered}\)Step 1: To begin with, we will get the mean first
\(\bar{x}=1\times0.12+2\times0.25+3\times0.13+4\times0.1+5\times0.1+6\times0.3=3.71\)\(\bar{x}=3.71\)Next, we will find
\(\begin{gathered} \sum ^{}_{}(x-\bar{x})^2\times p(x)=0.12(1-3.71)^2+0.25(2-3.71)^2+0.13(3-3.71)^2+0.1(4-3.71)^2+0.1(5-3.71)^2+0.3(6-3.71)^2 \\ =3.4259 \end{gathered}\)The final step will be to find the square root of the value obtained above
\(\sqrt[]{\sum ^{}_{}(x-\bar{x})^2\times p(x)}=\sqrt[]{3.4259}=1.851\)From the options provided, the closest answer is 1.84
Thus, the answer is 1.84
Identify 2 congruent angles
Look at picture for reference
In the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.
In the given diagram, we have ACDE as a quadrilateral, and we know that CD is congruent to CE. To identify two congruent angles, let's examine the properties of the quadrilateral.
Since ACDE is not specified to be a particular type of quadrilateral (such as a parallelogram or rectangle), we cannot directly infer congruent angles from its properties.
However, we can make use of some general properties of quadrilaterals to identify two congruent angles. One property is that the sum of the interior angles of a quadrilateral is always 360 degrees.
Let's consider angle C as one of the angles in ACDE. Since CD is congruent to CE, we can denote angle CDE as angle C' to represent the congruent angles.
Now, using the property that the sum of the interior angles of a quadrilateral is 360 degrees, we can express the relationship between the angles of ACDE as:
∠ACD + ∠CDE + ∠DEA + ∠EAC = 360 degrees
Since CD is congruent to CE, angles CDA and CEA are also congruent (opposite angles in a quadrilateral). So, we can rewrite the equation as:
∠ACD + ∠CDA + ∠C'EA + ∠EAC = 360 degrees
Since we want to identify two congruent angles, let's focus on angles CDA and C'EA. These two angles are formed by the intersection of the congruent sides CD and CE with different adjacent sides.
Therefore, we can conclude that angles CDA and C'EA are congruent in ACDE.
In summary, in the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.
for more such question on angles visit
https://brainly.com/question/25716982
#SPJ8
Consider the matrices.
What of the operations listed are defined for these matrices?
Select all that apply.
C-B
E-A
A+E
A+C
D-E
B+D
The operations E-A, A+E and B+D are defined for the matrices.
How to determine if the operations listed are defined for the matrices?A matrix (plural matrices) is a set of numbers arranged in rows and columns so as to form a rectangular array.
The number of rows of a matrix can be determined by counting from top to bottom and the number of columns can be determined by counting from left to right.
Matrices can only be added or subtracted only when they have the same dimensions, i.e. the same number of rows and the same number of columns. When adding or subtracting matrices, the corresponding elements of the matrices are added or subtracted.
Matrices A and E have the same dimensions i.e. They have 4 rows and 2 columns each.
Thus, the operations E-A (subtraction) and A+E (addition) are defined for the matrices.
Also, matrices B and D have the same dimensions i.e. They have 2 rows and 2 columns each.
Thus, the operations B+D (addition) is defined for the matrices.
Learn more about matrices on:
brainly.com/question/11989522
#SPJ1
9 is 50% of what number?
9 is 25% of what number?
9 is 10% of what number?
9 is 75% of what number?
9 is 150% of what number?
Answer: The answer to this math question are given the following answers to this math question about finding the percent of a number with the given number and a percentage of a number, so anyway, here are 5 following answers:
1). 18
2). 36
3). 10
4). 12
5). 6
Step-by-step explanation: I'm sorry about that, but I don't have any step-by-step explanation for the math question about finding the percent of a number with the given number and a percentage of a number, so anyways, I hope that my short given answer without the step-by-step explanation is very helpful to your own math question about finding the percent of a number with the given number and a percentage of a number, please mark me as Brainliest, take care, always be safe, and have a great rest of the day and good night! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
(a)- domain and range of function
(b)- intercepts
(c)- horizontal asymptotes
(d)- vertical asymptotes
(e)- oblique asymptotes
GEOMETRY 100 POINTS
Find the length of BC
Answer:
x = 16
Step-by-step explanation:
Opposite sides are equal in a parallelogram
AD = BC
5x - 12 = 3x + 20
5x - 3x = 20 + 12
2x = 32
x = 32/2
x = 16
Select the correct answer.
What is the solution to |2x + 3) = 15?
O A.
О в.
O C.
O D. No solutions exist.
x = 6
x = 6 or x = -6
x = 6 or x = -9
The solution for the given equation is 6. Therefore, option A is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is |2x+3=15.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Now, 2x=15-3
2x=12
x=6
Therefore, option A is the correct answer.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ9
I'll mark you as brainliest
Answer:
Easy
8/5
9/6
12/10
12/8
9/2
8/7
20/15
and 25/10
The markup on a microphone at an electronics store is 80%. The wholesale price was $49.50. What is the retail price of the microphone? Enter the correct answer in the box.
Answer:
9.90
Step-by-step explanation:
Original Amount
49.50
Present increase
80% or 0.80
Original x Percent decrease = amount of change
39.60
Original - Amount of change = total
9.90
Given that line I is the perpendicular bisector of BC and BD = 13.2 find DC.
Answer:
DC = 13.2
Step-by-step explanation:
A perpendicular bisector is a line that bisects {divide into two equal parts} another line segment at 90° at the intersection point.
So, AD bisects BC.
DC = BD
DC = 13.2
Only answer if you know!!! Which expression represents 5 less than y? (1 point)
Oy-5
O 5-y
Oy
5
O5y-1
Answer:
5 less than y isn’t up there but if you mean 5 minus y it’s the second one, and y minus 5 is the first
Step-by-step explanation:
Write the missing decimal so that each pair adds to 1/2 + ...= 1
Answer:
0.5
Step-by-step explanation:
1/2 + 0.5 = 1