Your teacher will grade your response for the following question to ensure that you receive proper credit for your answer.
What are the missing reasons in the proof?
SOMEONE PLEASE HELP!!...
Answers
The triangles are congruent by the AAS property.
What are quadrilaterals?A closed quadrilateral has four sides, four vertices, and four angles. It is a form of a polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.
Given a parallelogram ABCD,
with diagonal BD
to prove ΔABD ≅ ΔCDB
so AD ║ BC (because ABCD is a parallelogram)
so BD works as the transverse line between AD and BC,
similarly, AB and DC
so ∠ADB = ∠CBD (alternate interior angles are congruent)
AB ║ CD (because ABCD is a parallelogram)
so ∠ABD = ∠CDB (alternate interior angles are congruent)
DB = DB (common side)
ΔABD ≅ ΔCDB by AAS property
Hence triangles are congruent by AAS property.
Learn more about quadrilaterals;
https://brainly.com/question/13805601
#SPJ1
Related Questions
(25 POINTS) How many solutions does the system of linear equations represented in the graph have?
One solution at (-1, 0)
One solution at (0, -1)
No solution
Infinitely many solutions
Answers
The correct option regarding the solution of the system of equations is given as follows:
One solution at (-1, 0).
What is the solution to the system of equations?We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.
For this problem, we have a single equation, hence the solution is obtained when the graph crosses the x-axis.
The graph crosses the x-axis when x = -1 and y = 0, hence the solution is given as follows:
(-1,0).
More can be learned about a system of equations at https://brainly.com/question/30374328
#SPJ1
The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $4 and each adult ticket sells for $9. The auditorium can
hold no more than 110 people. The drama club must make a minimum of $720 from
ticket sales to cover the show's costs. If r represents the number of student tickets
sold and y represents the number of adult tickets sold, write and solve a system of , a
inequalities graphically and determine one possible solution.
Answers
Answer: The total number of tickets sold (student and adult) cannot exceed 110, so we can write the first inequality as:
r + y ≤ 110
The minimum amount of money needed from ticket sales is $720, so we can write the second inequality as:
4r + 9y ≥ 720
To graph the system of inequalities, we can start by plotting the two lines corresponding to r + y = 110 and 4r + 9y = 720. The solution to the system of inequalities is the area on the graph that is shared by both of the inequalities (i.e., the area above the line 4r + 9y = 720 and below the line r + y = 110).
One possible solution for the number of student tickets (r) and adult tickets (y) is (30, 80). This means that 30 student tickets and 80 adult tickets can be sold to meet the conditions and raise at least $720.
Step-by-step explanation:
3. F(-2) +9
F(x)=-3x-2
Answers
Answer:
F(-2) = -3(-2) - 2 = 6 - 2 = 4
F(-2) + 9 = 4 + 9 = 13
Step-by-step explanation:
F(-2) = -3(-2) - 2 = 6 - 2 = 4
F(-2) + 9 = 4 + 9 = 13
Let u =(a,7) and v =(4,4)a.find the value of a such that u is parallel to vb.two nonzero vectors u(u1,u2) and v(v1,v2) are perpendicular to each other if 0. find the value of a such that u is perpendicular to v.
Answers
The value of a that makes u parallel to v is a = 4 and the value of a that makes u perpendicular to v is -7.
How to solve vectors using dot and scalar product?a. For two vectors to be parallel, their direction ratios must be equal. In other words, their components must have the same ratio. For vectors u = (a, 7) and v = (4, 4), we have:
u1/u2 = a/7 = v1/v2 = 4/4
So the value of a that makes u parallel to v is a = 4.
b. For two nonzero vectors to be perpendicular, their dot product must be equal to zero. The dot product of u = (a, 7) and v = (4, 4) is given by:
u · v = a * 4 + 7 * 4 = 4a + 28
To make this equal to zero, we can solve for a:
4a + 28 = 0
4a = -28
a = -7
So the value of a that makes u perpendicular to v is -7.
To know more about Vectors visit:
brainly.com/question/30075951
#SPJ4
19.5 is equal to 4 times some number. What is the number?
Answers
19.5/4=4x/4
4.875=x
Hope this helps! If you found my answer helpful please consider marking brainliest! If you have any questions feel free to ask in the comments!
Answer:
x=4.875
Step-by-step explanation:
19.5=4x
19.5/4=4.875
x=4.875
Check:
4.875×4=19.5
Ryan is taking a survey to find out how many people prefer soda A over soda B. He surveyed 100 people and forty-nine preferred soda A. Seven percent had no preference for soda A or soda B. What percentage of peoples surveyed preferred soda B?
Answers
Answer: 44%
Step-by-step explanation:
100 - 49 - 7 = 44 people who preferred Soda B
44 of a 100 = 44%
Answer: 44%
Step-by-step explanation:
Since we have 100 people, each person is one percent.
49 people preferred A, so we can subtract 49 from 100.
100 - 49 = 51
7 people didn't have an opinion, so we can subtract 7 from 51.
51 - 7 = 44
That means that 44 people preferred B, which is 44%
6^5 is the same thing as what number squared.
Answers
Answer:
Below
Step-by-step explanation:
6^5 = x^2
7776 = x^2 sqrt both sides
x = ± 88.18
Find the arc length function for the curve measured from the point P in the direction of increasing t and then reparametrize the curve with respect to arc length starting from P, and (b) find the point 4 units along the curve (in the direction of increasing t) from P. r(f) = (5 - t) i + (4t - 3) j + 3t k. P(4, 1, 3)
Answers
The new arc length function for the curve after reparametrization is as follows
[tex]\\\\r(s) = ( 4 - \frac{s}{\sqrt{26}})i + (\frac{4s}{\sqrt{26} } + 4)j+(\frac{3s}{\sqrt{26} } + 3)k[/tex]
What is meant by the arc length of a curve?
The distance between two places along a segment of a curve is known as the arc length.
The formula for arc length is used to determine how far something is along the curved line that makes up an arc. The arc length is, to put it simply, the distance that passes through the curved line of the circle that forms the arc.
Given,
Vector equation of curve r(t) = (5 - t) i + (4t - 3) j + 3t k
Given P = (4, 1, 3)
5 - t = 4
So, t = 1
Now differentiate r(t)
r'(t) = -i + 4j + 3k
Magnitude of r'(t) = |r'(t)| = √[(-1)² + 4² + 3²] = √26
The arc length function for the curve
[tex]s = \int\limits^t_1 { |r'(t)| } \, dt = \int\limits^t_1 { \sqrt{26} } \, dt = \sqrt{26} (t-1)[/tex]
[tex]t = \frac{s}{\sqrt{26} } + 1[/tex]
Now to reparametrize the curve with respect to arc length, substitute t with (s/√26) + 1 in r(t).
[tex]r(s) = (5 - ( \frac{s}{\sqrt{26} } + 1)) i + (4( \frac{s}{\sqrt{26} } + 1) - 3) j + 3( \frac{s}{\sqrt{26} } + 1) k\\\\r(s) = ( 4 - \frac{s}{\sqrt{26}})i + (\frac{4s}{\sqrt{26} } + 4)j+(\frac{3s}{\sqrt{26} } + 3)k[/tex]
Therefore the new arc length equation of the curve when [tex]t = \frac{s}{\sqrt{26} } + 1[/tex] is as follows
[tex]\\\\r(s) = ( 4 - \frac{s}{\sqrt{26}})i + (\frac{4s}{\sqrt{26} } + 4)j+(\frac{3s}{\sqrt{26} } + 3)k[/tex].
To learn more about the arc length function, follow the link.
https://brainly.com/question/17748353
#SPJ4
Solve the initial value problem
dx/dt−4x=cos(5t)
with x(0)=1.
x(t) = ?
Answers
We are given the following differential equation, [tex]\frac{dx}{dt}-4x=cos(5t)[/tex], with the initial condition [tex]x(0)=1[/tex]. This is a linear DE in the form, [tex]\frac{dx}{dt}+P(t)x=Q(t)[/tex], where [tex]\mu(t)=e^{\int\ {P(t)} \, dt }[/tex].
First, finding [tex]\mu(t)[/tex].
[tex]\Longrightarrow\mu(t)=e^{\int\ {P(t)} \, dt }\Longrightarrow\mu(t)=e^{\int\ {-4} \, dt }[/tex]
[tex]\mu(t)=e^{-4t }[/tex]
Multiply the DE by [tex]\mu(t)[/tex].
[tex]\Longrightarrow\frac{dx}{dt}-4x=cos(5t)\Longrightarrow e^{-4t} [\frac{dx}{dt}-4x=cos(5t)][/tex]
[tex]\Longrightarrow (e^{-4t}) \frac{dx}{dt}-(e^{-4t})4x=(e^{-4t})cos(5t)[/tex]
[tex]\Longrightarrow e^{-4t} \frac{dx}{dt}-4e^{-4t}x=e^{-4t}cos(5t)[/tex]
Verify that the L.H.S is a product rule of [tex]e^{-4t}x[/tex].
[tex]\Longrightarrow \frac{d}{dt}[e^{-4t}x ] =(e^{-4t}*-4)x+(e^{-4t})(\frac{dx}{dt} )[/tex]
[tex]\Longrightarrow \frac{d}{dt}[e^{-4t}x ] =-4e^{-4t}x+e^{-4t}\frac{dx}{dt}[/tex]
This matches, so we can move forward by integrating both sides of the DE.
[tex]\int\ {[e^{-4t}x ]'} \, =\int\ {e^{-4t}cos(5t)} \, dt[/tex]
The integral on the R.H.S is pretty nasty to do using integration by parts and u-sub. I will use a table of integrals.
[tex]\int\ {e^{ax}cos(bx) } \, dx=\frac{e^{ax}(acos(bx)+bsin(bx))}{a^2+b^2}[/tex]
Let [tex]a=-4[/tex] and [tex]b=5[/tex]
[tex]\int\ {[e^{-4t}x ]'} \, =\int\ {e^{-4t}cos(5t)} \, dt[/tex]
[tex]\Longrightarrow e^{-4t}x = \frac{e^{-4t}(-4cos(5t)+5sin(5t))}{(-4)^2+(5)^2}+C[/tex]
[tex]\Longrightarrow e^{-4t}x = \frac{e^{-4t}(-4cos(5t)+5sin(5t))}{41} +C[/tex]
Now for the initial condition, [tex]x(0)=1[/tex].
[tex]\Longrightarrow e^{-4(0)}(1) = \frac{e^{-4(0)}(-4cos(5(0))+5sin(5(0)))}{41} +C[/tex]
[tex]\Longrightarrow (1)(1) = \frac{(1)(-4(1)+(0))}{41} +C[/tex]
[tex]\Longrightarrow 1 = -\frac{4}{41} +C[/tex]
[tex]\Longrightarrow 1+\frac{4}{41} = C[/tex]
[tex]\Longrightarrow C=\frac{45}{41}[/tex]
Now we have, [tex]e^{-4t}x = \frac{e^{-4t}(-4cos(5t)+5sin(5t))}{41} +\frac{45}{41}[/tex], solve for x.
[tex]\Longrightarrow x = \frac{\frac{e^{-4t}(-4cos(5t)+5sin(5t))}{41}}{ e^{-4t}} +\frac{\frac{45}{41}}{e^{-4t}}[/tex]
[tex]\Longrightarrow x = \frac{(-4cos(5t)+5sin(5t))}{41}} +\frac{45e^{4t}}{41}[/tex]
Thus, the answer to the given differential equation with an initial condition is, [tex]x = \frac{(-4cos(5t)+5sin(5t))}{41}} +\frac{45e^{4t}}{41}[/tex].
Need help fast. please
Answers
According to the model, the current population of Algeria is 38 million.
How to find the population ?The model for the population in t years from now is given by the model P = 38 ( 1 + r ) ^ t.
This means that when given the model, the current population of Algeria is 38 million because the 38 in the model represents the value of population when no years have elapsed.
We can solve for this to get :
= 38 ( 1 + r ) ^ t
= 38 ( 1 + r ) ⁰
= 38 x 1
= 38
= 38 million
Find out more on population at https://brainly.com/question/26045900
#SPJ1
14. JD is selling high quality bats in his baseball supply store. His new shipment of 30 bats arrives, with a wholesale cost of $80 for each bat. He decides to markup the price by 120% in order to make a good profit. After 3 months he has sold 16 of the bats, but needs to make room for more inventory. He decides to discount the remaining bats by 40%. If he sells all of the remaining bats at the new discounted price, how much profit will he make after selling all of the bats?
Answers
Answer: JD's markup price is $80 * 120% = $96 per bat.
So, the retail price of each bat is $80 + $96 = $176.
The total revenue from the sale of 16 bats is 16 * $176 = $2,816.
He still has 30 - 16 = 14 bats left.
The discount price of each bat is $176 - ($176 * 40%) = $106.40.
The total revenue from the sale of 14 bats at the discount price is 14 * $106.40 = $1,493.60.
The total revenue from all the bats is $2,816 + $1,493.60 = $4,309.60.
The profit JD makes from selling all the bats is $4,309.60 - ($80 * 30) = $1,039.60.
Step-by-step explanation:
The profit which will he make after selling all of the bats is $1,039.60.
What is Profit?This is referred to as the amount of money that you gain when you are paid more for something than it cost you to make, get, or do it.
JD's markup price = $80 ×120% = $96 per bat.
Retail price = $80 + $96 = $176.
Revenue of 16 bats is 16 * $176 = $2,816.
Since 30 - 16 = 14 bats which is what we have left.
The discount price of each bat is $176 - ($176 * 40%) = $106.40.
The total revenue from the sale of 14 bats at the discount price is 14 * $106.40 = $1,493.60.
Therefore the total revenue from all the bats is $2,816 + $1,493.60 = $4,309.60.
The total profit = $4,309.60 - ($80 * 30) = $1,039.60.
Read more about Price here https://brainly.com/question/26357091
#SPJ1
Find the slope of the line
Slope: m=
Answers
Answer:
Hi there! The answer is 3/5
Step-by-step explanation:
The rise is 3 and the run is 5.
Brainiest, please? Can you click on the crown on my answer?
Answer: 3/5
Step-by-step explanation:
Looks at the points (0,1) and (5,4).
Formula: y2-y1/x2-x1
Substitute: 4-1/5-0 = 3/5
m = 3/5
That ratio of the risk premium to the standard deviation of the excess returns is known as the reward-to-volatility or the _ ratio.
Answers
Answer:
Sharpe Ratio?
if you looking for a name for your definition, thats it
good luck!
Please solve this for me, this is all the info presented in the question.
Answers
About 0.04% percent of quokkas weigh over 15.5 pounds.
What is normal distribution?Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
Given that, the weights of quokkas can be described by the Normal model N(10, 2.7).
Let Y the weights of quokkas
Given that, Y~N(μ= 10, σ²=2.7)
So, σ=1.643
a) The probability, P(Y＞15.5) denotes chances that quokkas weight over 9.3 pounds, and it is,
P(Y>9.3) = P(Z> (15.5-μ)/σ)
= P(Z> (15.5-10)/1.643)
= P(Z>3.347)
= 0.0004
= 0.0004×100 =0.04%
b) The probability, P(Y＜11.9) denotes chances that quokkas weight under 11.9 pounds, and it is,
P(Y>9.3) = P(Z> (11.9-μ)/σ)
= P(Z> (11.9-10)/1.643)
= P(Z>1.156)
= 0.1250
= 0.1250×100 =12.5%
c) The probability, P(11.9≤Y≤15.5) denotes chances that quokkas weight will be between 11.9 and 15.5 pounds, and it is,
P(11.9≤Y≤15.5) = P((15.5-μ)/σ ≤ Z ≤ (11.9-μ)/σ)
= P((15.5-10)/1.643) ≤ Z ≤ (11.9-10)/1.643)
= P(3.347≤ Z ≤1.156)
= P(Z≤3.347)-PZ ≤1.156)
= 0.0004-0.1250
= 0.1246
= 0.1246×100
= 12.46%
Therefore, about 0.04% percent of quokkas weigh over 15.5 pounds.
To learn more about the normal distribution visit:
https://brainly.com/question/14916937.
#SPJ1
SOME ONE HELP! I WILL MAKE BRAINLIST!
Answers
Note that the proof related to the above parallelogram is given as follows:
ΔSVX ≅ ΔUTX Given
SV || TU Given
SV ≅ TU Corresponding part of congruent triangle
VUTS parallelogram Definition of parallelogram.
What is a Parallelogram?A quadrilateral having two pairs of parallel sides is known as a parallelogram. It is possible to demonstrate that the opposing sides of a parallelogram are congruent.
A parallelogram is any quadrilateral having two pairs of congruent opposing sides. Parallelograms contain two congruent opposing angles, thus a quadrilateral with two congruent opposite angles must be a parallelogram.
A parallelogram's diagonals intersect each other, therefore a quadrilateral with diagonals that bisect each other must be a parallelogram. Finally, if a quadrilateral contains two parallel and congruent sides, it must be a parallelogram.
Learn more about Parallelogram:
https://brainly.com/question/29147156
#SPJ1
How do you describe a calibration curve?
Answers
A calibration curve is a graphical representation of the relationship between the output of a measuring instrument and the actual values of the quantity being measured.
What is the calibration curve?
A calibration curve is typically created by measuring a set of known values of the quantity being measured, and plotting the measured values against the actual values. The curve is used to make adjustments to the measurements obtained with the instrument, so that they more accurately reflect the actual values of the quantity being measured.
A calibration curve can be described as a plot of the relationship between the output of a measuring instrument and the actual values of the quantity being measured. The curve is typically linear, and the slope of the curve represents the sensitivity of the instrument. The y-intercept of the curve represents the offset or bias of the instrument, and any deviations from a straight line represent non-linearity in the measurement.
To learn more about calibration curve, Visit
https://brainly.com/question/13492847
#SPJ4
In triangle FGH, g=8ft, h=13ft, and measure of angle F=72 degree. Find measure of angle G
Answers
To find the measure of angle G in triangle FGH, we can use the fact that the sum of angles in a triangle is always 180 degrees.
First, we can find the measure of angle H using the fact that the sum of angles in a triangle is 180 degrees:
H = 180 - F - G
H = 180 - 72 - G
H = 108 - G
Next, we can use the Law of Cosines to find the length of side FG:
FG^2 = GH^2 + FH^2 - 2(GH)(FH)cos(F)
FG^2 = 8^2 + 13^2 - 2(8)(13)cos(72)
FG^2 = 169.21
FG ≈ 13.01 ft
Finally, we can use the Law of Cosines again to find the measure of angle G:
cos(G) = (FG^2 + GH^2 - FH^2) / (2(FG)(GH))
cos(G) = (169.21 + 64 - 169) / (2(8)(13))
cos(G) = 0.7686
G ≈ 40.6 degrees
Therefore, the measure of angle G in triangle FGH is approximately 40.6 degrees.
PLEASE HELP ASAP!!! FIND THE MULTIPLICITY AND ZEROS FOR THE GRAPH.
Answers
The zeros and their multiplicity are:
Zero: -1, Multiplicity: 1
Zero: 0, Multiplicity: 1
Zero: 1, Multiplicity: 1
Zero: 2, Multiplicity: 1
Zero: 2.5, Multiplicity: 1
What is a polynomial?An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Given:
A graph of a polynomial is given in the diagram.
A polynomial is intercepting the x-axis five times.
That means, there are five zeros.
The zeros and their multiplicity are:
Zero: -1, Multiplicity: 1
Zero: 0, Multiplicity: 1
Zero: 1, Multiplicity: 1
Zero: 2, Multiplicity: 1
Zero: 2.5, Multiplicity: 1
Hence, all the required values are given above.
To learn more about the Polynomials;
brainly.com/question/11536910
#SPJ1
write the given argument in words and deter- mine whether each argument is valid. Let p: The for loop is faulty. q: The while loop is faulty.
r: The hardware is unreliable. s: The output is correct. p → (q V r) q → (p V s) p V -q
-s
_________
p V r
Answers
All the premises are true and conclusion are also true in all critical rows, then argument is valid. Conclusion (S) is not true in all critical rows, so argument is not valid.
What is for loop?In mathematics, the word "loop" has several different definitions. The simplest definition of a loop is a closed curve whose beginning and terminal points meet in the basepoint, a fixed point. Formally, a loop is a continuous map if is a topological space and.
p: The for loop is faulty.
q: The while loop is faulty.
r: The hardware is unreliable.
s: The output is correct.
p→ (qVr)
q→ (pVs)
pV→q
→s
.............................
∴ pVr
argument in words.
The for loop is faulty then the while loop is faulty or the hardware is unreliable.
The white loop is faulty then the for loop is faculty or the output is correct.
The for loop is faulty or the white loop is not faulty.
The output not correct.
...................................................................................................................
∴ The for loop is faulty or the hardware is unreliable.
next, we determine the argument validity -
Premise S₁: p→ (qvr)
Premise S₂: q→ (pvs)
Premise S₃: pv→q
Premise S₄: →s
.............................
∴ Conclusion S: pvr
When all the premises are true and conclusion are also true in all critical rows, then argument is valid.
Here, conclusion (S) is not true in all critical rows, so argument is not valid.
To know more about premises refer to:
https://brainly.com/question/30466861
#SPJ4
q1 and q2 are 24m apart. if q2 is 49 times q1, where between the two charges would the net electric field be equal to 0
Answers
The point where the net electric field is equal to zero is located approximately 0.48936m away from q1 and 24m - 0.48936m = 23.51064m away from q2.
Describe charge?Charge is a fundamental property of matter that describes its electrical state. It is a scalar quantity that can be either positive, negative, or neutral, and is measured in Coulombs (C). The concept of charge is used to explain many of the phenomena that occur in electricity and magnetism, such as electric fields, currents, and voltages. Positive and negative charges are thought to be due to the presence or absence of electrons, which are the smallest negatively charged particles in matter. Neutral objects have an equal number of positive and negative charges, resulting in a net charge of zero. The interaction of charges with each other results in many of the electrical and magnetic phenomena observed in the world around us.
The net electric field at a point is equal to zero if the electric field due to one charge is exactly canceled by the electric field due to the other charge.
Since q2 is 49 times greater than q1, the electric field due to q2 will be 49 times greater than the electric field due to q1 at any given point. In order to cancel the electric field due to q1, we need to place q2 at a point that is 49 times closer to q1 than the original separation of 24m.
Let's call the new separation between the charges x. Then, x = 24m / 49, which is approximately equal to 0.48936m.
So, the point where the net electric field is equal to zero is located approximately 0.48936m away from q1 and 24m - 0.48936m = 23.51064m away from q2.
To know more about electric field visit:
https://brainly.com/question/26446532
#SPJ4
Mrs. Gomez is buying a triangular table for the corner of her classroom. The
side lengths of the table are 5 feet, 3 feet, and 4 feet.
Is this triangular table a right triangle?
OA. No, because 3+ 4+ 5.
B. No, because 3² +4² #5²
C. Yes, because 32 +4² = 5²
D. Yes, because 3² +4² > 5²
Answers
The triangular table that Mrs. Gomez is buying for her classroom is a right triangle table because 3² +4² = 5². That is option C.
What is a right angle triangle?A right angle triangle is the type of triangle that has one side of its angle perpendicular to another and the value of the three sides can be calculated through the use of the Pythagorean formula.
The Pythagorean formula is expressed as, c2 = a2 + b2, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs.
Since, 5= c
b= 3
a = 4
Therefore, 3² +4² = 5² shows that the table is a right angle triangle.
Learn more about triangle here:
https://brainly.com/question/25215131
#SPJ1
Eric works for a salary of $3,500 per month.
What is Eric’s gross pay for one year?
Answers
Eric’s gross pay for one year if he earns a salary of $3,500 per month is $42,000.
What is Eric’s gross pay for one year?The total amount of money an employee receives before taxes is referred to as gross pay.
Given that;
Eric's salary per month = $3,500 Eric’s gross pay for one year = ?Eric’s gross pay for one year = Eric's salary per month × 12 months
Eric’s gross pay for one year = $3,500 × 12
Eric’s gross pay for one year = $42,000
Therefore, the gross pay is $42,000.
Learn more about gross earning here: https://brainly.com/question/14690804
#SPJ1
Explain why the equation 82.5 + 8(0.25x)= 338.5 is equivalent to the equation 82.5 + 2x = 338.5
Answers
Step-by-step explanation:
because 0.25 = 1/4.
so, it is actually
82.5 + 8×(1/4)x = 338.5
which is then simplified
82.5 + (8/4)x = 338.5
82.5 + 2x = 338.5
Step-by-step explanation:
[tex]\displaystyle\\8(0.25x)=8(\frac{25}{10}x)=\frac{8*25}{100} x=\frac{200}{100}x=2x[/tex]
Thus, 82.5+8(0.25x)=338.5 ≡ 82.5+2x=338.5
The temperature decreasesd by 11 degrees enter a integer that represents this situation in the box
Answers
Step-by-step explanation:
The answer should be -11
Answer: -11 (negative eleven)
An integer is a real number. Which includes 0, positive numbers, and negative numbers. Since the temperature outside went down by 11 degrees rather than increased, it is negative. Which means our integer is -11.
I hope this helps & Good Luck <3 !
List all the subsets of the given set. 0
The subsets are ______
( Use a comma to separate answers as needed .)
Answers
The subsets are {}, {0}.
What is the subset in mathematics?
In mathematics, a subset is a set consisting of elements that are also elements of another set. A set A is said to be a subset of set B if and only if every element of A is also an element of B. In other words, if you have a set A and another set B, and all the elements of set A are present in set B, then set A is considered a subset of set B.
In mathematics, a subset is a collection of elements that belong to a larger set. The elements in a subset can be any type of mathematical objects, such as numbers, vectors, or functions. A set is a subset of itself, and the empty set is a subset of every set.
The subsets of the given set {0} are the empty set {} and the set itself, {0}. So, the subsets of the given set 0 are {}, {0}.
Hence, the subsets are {}, {0}.
To learn more about the subsets in mathematics, visit:
https://brainly.com/question/13265691
#SPJ1
Luke has a 65-gallon rectangular aquarium with base 48 inches by 18
inches. He centers it on a rectangular tabletop. There a
re 3 inches
between each side of the aquarium and each side of the tabletop as shown
What is the area, in square inches, of the tabletop?
Answers
The area of the tabletop in square inches is 1071 square inches.
What is area?An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.
Given that, there are 3 inches between each side of the aquarium and each side of the tabletop.
The length of the tabletop will be:
l = 48 + 3 = 51 inches.
The width of the tabletop will be:
w = 18 + 3 = 21 inches.
The area of the table top will be:
A = (l)(b)
A = (51)(21)
A = 1071 square inches.
The area of the tabletop in square inches is 1071 square inches.
Learn more about area here:
https://brainly.com/question/27683633
#SPJ1
Solve with the box method
Answers
The expanded expression is [tex]2x^4 + 3x^3 - 10x^2 + 6x - 1.[/tex]
How to calculate the expression?[tex](2x^2 - 3x + 1)(x^2 + 3x - 1)[/tex] can be expanded by multiplying each term in the first equation by each term in the second equation using the distributive property. increase.
= [tex]2x^2(x^2 + 3x - 1) - 3x(x^2 + 3x - 1) + 1(x^2 + 3x - 1)[/tex]
Each term can then be simplified by multiplying by the coefficient and adding the exponent of x.
= [tex]2x^4 + 6x^3 - 2x^2 - 3x^3 - 9x^2 + 3x + x^2 + 3x - 1[/tex]
Then you can combine similar terms.
= [tex]2x^4 + (6x^3 - 3x^3) + (-2x^2 - 9x^2 + x^2) + (6x - 1)[/tex]
= [tex]2x^4 + 3x^3 - 10x^2 + 6x - 1[/tex]
So the expanded expression is [tex]2x^4 + 3x^3 - 10x^2 + 6x - 1.[/tex]
To know more about multiply visit:
brainly.com/question/23536361
#SPJ1
Type your response in the box. Here is a function that describes a sequence called the Lucas numbers, which is similar to the Fibonacci sequence: f(n) = f(n – 1) + f(n – 2); f(1) = 2; f(2) = 1. Describe in words the relationship between the terms created by this algebraic rule. List the first six terms of the sequence. Find the 12th term.
Answers
The first six terms of the sequence are 2, 1, 3, 4, 7, and 11.
The 12th term is 199.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(1) = 2
f(2) = 1
f(n) = f(n - 1) + f(n - 2)
Now,
For n = 3,
f(3) = f(3 - 1) + f(3 - 2) = f(2) + f(1) = 1 + 2 = 3
f(4) = f(4 - 1) + f(4 - 2) = f(3) + f(2) = 3 + 1 = 4
f(5) = f(5 - 1) + f(5 - 2) = f(4) + f(3) = 4 + 3 = 7
We see that,
The next sequence is the addition of the previous two sequences.
So,
The sequence is:
2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199
i.e
12th term = 199.
Thus,
First six terms of the sequence = 2, 1, 3, 4, 7, 11
12th term = 199.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ1
Answer: The first term of the sequence is 2, and the second is 1. The function adds the previous two terms to get the next term.
To get the first six terms of the sequence, start by finding the third term by substituting the values of the first two terms in the function:
f(3) = f(2) + f(1) = 1 + 2 = 3.
In the same way, find the remaining three terms and get the sequence as (2, 1, 3, 4, 7, 11, . . .).
To find the 12th term of the sequence, continue using the rule to find all terms until the 12th. So, the sequence is (2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, . . .).
The 12th term is 199.
Step-by-step explanation:
Edmentum Answer
HELP PLEASEEEEEEEEEEEEEEEEEE
Answers
AROC formula
(f(b)-f(a))/b-a
f(11)-f(3) / 11 - 3
-623 -(-47) / 8
= -72
Hope this helps,
- Jeron :- )
What is 4x^3+4x^m+8x^5+4 written in polynomial standard form?
Answers
The polynomial in standard form is 8x^5 + 4x^4 + 4x^3 + 4
How to determine the standard form of the polynomialFrom the question, we have the following parameters that can be used in our computation:
4x^3+4x^m+8x^5+4
Express properly
So, we have the following representation
4x^3 + 4x^4 + 8x^5 + 4
Order the powers in decreasing order
This gives
8x^5 + 4x^4 + 4x^3 + 4
Hence, the standard form is 8x^5 + 4x^4 + 4x^3 + 4
Read more about polynomial at
https://brainly.com/question/7693326
#SPJ1