Answer:
y = 4x - 1
Step-by-step explanation:
equation of a line in slope-intercept form: y = mx + b
m is the slope and b is the y-intercept
y = 4x - 1
Molly is planting the flowers using the proportional relationship of 18 pink flowers to 12 white flowers per row.
Find the ratio of pink flowers per white flower per row.
Molly is planting a ratio of
pink to white flowers.
Answer:
18 pink to 12 white......18/12 reduces to 3/2......
Step-by-step explanation:
Answer:
The answer is 3/2 hope it helps
Step-by-step explanation:
Jill Barley obtained a 25-year, $145,117 mortgage loan from University Savings and Loan Association. The
interest rate is 6 percent. The monthly payment is $1,800.00. For the first payment, what is he interest?
Answer:
175,424.02
Step-by-step explanation:
multiply 145,117 by 106%
multiply 1800 by 12 (months in a year)
add 21600 to 153,824.02
Let g(x) = 4x - 20 and h(x) = -1/2x + k. For what value of k is the zero of h(x) equivalent to the zero of g(x)
Answer:
Step-by-step explanation:
The zero of a function is also known as the x-intercept of a function. The x-intercept of a function exists where y = 0. So we will begin by setting each of those lines = 0:
4x - 20 = 0 and -1/2x + k = 0 and then solve each for x:
4x = 20 so
x = 5 and
-1/2x = -k and
1/2x = k so
x = 2k. Now we set the 2 x expressions equal to each other and solve for k:
5 = 2k so
k = 5/2
The value of the K in the given equation is 5/2.
The zero of a function is also known as the x-intercept of a function.
The x-intercept of a function exists where y = 0. So we will begin by setting each of those lines = 0:
4x - 20 = 0 and
-1/2x + k = 0 and then solve each for x:
What is the substitution method?The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
4x = 20 so
x = 5 and
-1/2x = -k and
1/2x = k so
x = 2k. Now we set the 2 x expressions equal to each other and solve for k
5 = 2k so
k = 5/2
Therefore the value of the K in the given equation is 5/2.
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the outbound trip of a bus was made at 24mi/h, while the return trip was made at 30mi/h. find the one way distance fi the total running time was 4.5 hour.
With a running time of 4.5 hours and speeds of 24 mph and 30 mph, respectively, the bus covered a one-way distance of 72 miles.
With a running time of 4.5 hours and speeds of 24 mph outgoing and 30 mph inbound, the bus covered a one-way distance of 72 miles.
As the outgoing and inbound timings were equal, the computation was performed by multiplying the outbound trip's speed by the entire running time, and then dividing the result by two. Therefore, 108 miles are equal to 24 mph times 4.5 hours. The one-way distance is equal to 72 miles when you divide this result in half. When both directions' speeds are known, this calculation can be used to determine the overall distance of a round trip.
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Can you help me solve this!
Hello!
surface area
= 2(6*2) + 2(4*2) + 4*6
= 2*12 + 2*8 + 24
= 24 + 16 + 24
= 64 square inches
3 people wanted to go in together to buy one ounce of gold in 1980 for $615.00. How much would it cost each person?
Answer:
$205.00
Step-by-step explanation:
$615÷3 =205
205 × 3= 205
like and give brainly please
Identify the slope intercept equation of a line that has a
slope of - } & y-intercept of (0,3).
y = - X-
O y = -3x +
2
3
Oy= x-3
Oy = –ķx+3
Answer:5
Just use a caculator
92124w1322
if lisa's score was 86 and that score was the 23rd score from the top in a class of 280 scores, what is lisa's percentile rank?
Lisa's percentile rank is approximately 7.857%.
To calculate Lisa's percentile rank, you can use the formula:
Percentile Rank = (Number of scores less than Lisa's score / Total number of scores) * 100
In this case, Lisa's score is 86, and it is the 23rd score from the top in a class of 280 scores. Therefore, the number of scores less than Lisa's score is 23 - 1 = 22 (excluding Lisa's score itself).
Substituting the values into the formula:
Percentile Rank = (22 / 280) * 100 ≈ 7.857%
Lisa's percentile rank is approximately 7.857%.
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let |g| 5 15. if g has only one subgroup of order 3 and only one of order 5, prove that g is cyclic. generalize to |g| 5 pq, where p and q are prime.
To prove that the group g is cyclic, we analyze the possible values of the order |g|. We consider the cases for each possible value and demonstrate that in all cases, g is either cyclic or leads to a contradiction.
For |g| = 1, 2, 3, 5, or 7, the groups of these orders are always cyclic.
If |g| = 4, 6, 8, 9, 10, 12, or 15, we show that g cannot have the required subgroups. Assuming g is not cyclic, we find an element x of order 2 and additional elements y, z, w, etc., also of order 2. This contradicts the given conditions since g would be isomorphic to Z₂ × Z₂ or have more than one subgroup of order 3 or 5.
For composite orders |g| = pq, where p and q are prime, we generalize the analysis. By Cauchy's theorem, g has elements of order p and q, and since there is only one subgroup of each order, they are cyclic. We show that the intersection of these subgroups cannot have an order of pq, leading to a contradiction. Hence, g is cyclic.
Therefore, in all cases, g is proved to be cyclic. QED.
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calculate the molecular weight of a gas with a density of 1.524 g/l at stp.
To calculate the molecular weight of a gas with a density of 1.524 g/l at STP, we can use the ideal gas law: PV = nRT. At STP, the pressure (P) is 1 atm, the volume (V) is 22.4 L/mol, and the temperature (T) is 273 K. The molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.
Rearranging the equation, we get n = PV/RT.
Next, we can calculate the number of moles (n) of the gas using the given density of 1.524 g/l. We know that 1 mole of any gas at STP occupies 22.4 L, so the density can be converted to mass by multiplying by the molar mass (M) and dividing by the volume: density = (M*n)/V. Rearranging the equation, we get M = (density * V) / n.
Substituting the given values, we get n = (1 atm * 22.4 L/mol) / (0.0821 L*atm/mol*K * 273 K) = 1 mol. Then, M = (1.524 g/L * 22.4 L/mol) / 1 mol = 34.10 g/mol. Therefore, the molecular weight of the gas is 34.10 g/mol.
To calculate the molecular weight of a gas with a density of 1.524 g/L at STP, you can follow these steps:
1. Recall the ideal gas equation: PV = nRT
2. At STP (Standard Temperature and Pressure), the temperature (T) is 273.15 K and the pressure (P) is 1 atm (101.325 kPa).
3. Convert the density (given as 1.524 g/L) to mass per volume (m/V) by dividing it by the molar volume at STP (22.4 L/mol). This will give you the number of moles (n) per volume (V):
n/V = (1.524 g/L) / (22.4 L/mol)
4. Calculate the molar mass (M) of the gas using the rearranged ideal gas equation, where R is the gas constant (8.314 J/mol K):
M = (n/V) * (RT/P)
5. Substitute the values and solve for M:
M = (1.524 g/L / 22.4 L/mol) * ((8.314 J/mol K * 273.15 K) / 101325 Pa)
6. Calculate the molecular weight of the gas:
M ≈ 32.0 g/mol
Therefore, the molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.
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If a cup of coffee has temperature 95 C in a room where theremperature is 20 C, then, according to Newon's Law of Cooling, thetemperature of the coffee after t minutes is T(t) = 20+ 75e-t/50. What is the average temperature of thecoffee during the first half hour?
To find the average temperature of the coffee during the first half hour, we need to find the temperature of the coffee at t = 0 (when the coffee is just brewed) and at t = 30 (after half an hour has passed).
At t = 0, T(0) = 20 + 75e^0/50 = 20 + 75 = 95 C. At t = 30, T(30) = 20 + 75e^-30/50 ≈ 42.5 C.
So, the temperature of the coffee decreases from 95 C to 42.5 C during the first half hour.
The average temperature during this time period can be found by taking the average of the initial and final temperatures:
Average temperature = (95 C + 42.5 C) / 2 = 68.75 C.
Therefore, the average temperature of the coffee during the first half hour is 68.75 C.
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Evaluate.
54
20
625
1024
3125
Answer:
Short and simple: 625
Write an equation and solve.
Maxine needs to rent a car for a week. She has $300 to cover the rental. If the car costs $35 a day and $0.25 a mile, how many miles can she drive for $300?
The length of the pool table is _______ feet.
Answer:
Answer:220 miles
Step-by-step explanation:
For 1 week=7 days
So $35*7=245
300-245=55
$55/.25= 220 miles
What is the area of a sector with a central angle of 144° and a radius of 11 cm?
Use 3.14 for π and round your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.
Rounding to the nearest hundredth, the area of the sector is approximately 152.30 cm².
To find the area of a sector, you can use the formula:
\(Area = (\theta /360) \times \pi \times r^2\)
where θ is the central angle and r is the radius.
Plugging in the given values:
θ = 144°
r = 11 cm
π = 3.14
\(Area = (144/360) \times 3.14 \times 11^2\)
Simplifying:
\(Area = (0.4) \times 3.14 \times 121\)
\(Area = 48.4 \times 3.14\)
\(Area = 152.296 cm^2.\)
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i needs help plzzzzzzzz
pyramid = 9x8x9
rectangle = 7x8x9
total = (pyramid+ rectangle)
length x wide x hight
In the diagram. QAB is a sector of a circle with centre O and radius 8 cm. Angle BOA is a radians. OAC is a semicircle with diameter Q4. The area of the semicircle Q4C is twice the area of the sector OAB.
(1) Find a in terms of π.
(ii) Find the perimeter of the complete figure in terms of π
The perimeter is given as (\((6\pi + 8)cm\)
How to find the perimeter of a sector of a circle,To find the perimeter of a sector of a circle, you need to know the radius of the circle, the measure of the central angle of the sector, and the formula for the circumference of a circle.
Find the circumference of the entire circle:
The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius of the circle
Find the fraction of the circle that the sector covers:
Find the length of the arc that forms the sector:
Find the perimeter of the sector:
To find the perimeter, simply add the length of the two radii to the length of the arc:
Perimeter = 2r + L
where r is the radius of the circle and L is the length of the arc that forms the sector.
Therefore, the formula for the perimeter of a sector of a circle is:
Perimeter = 2r + (C × θ/360)
Therefore,
The perimeter is
\(\pi * 8 * \frac{1}{2} + \frac{\pi }{4} *8 + 8\\ = 4\pi + 2\pi + 8\\\)
= \((6\pi + 8)cm\)
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A circle has a circumference of 7{,}8507,8507, comma, 850 units. What is the radius of the circle?
Use 3. 14 for pi and enter your answer as a decimal
Ethan works in a department store selling clothing. He makes a guaranteed salary of $500 per week, but is paid a commision on top of his base salary equal to 25% of his total sales for the week. How much would Ethan make in a week in which he made $1250 in sales? How much would Ethan make in a week if he made xx dollars in sales?
Ethan makes in a week = $812.5
Given :
Total sales for the week = $1250
a guaranteed salary = $500
paid a commission on top of his base salary (Percentage commission) = 25%
Time and work problem:
Work Done = Time Taken × Rate of Work
Rate of Work = 1 / Time Taken
Time Taken = 1 / Rate of Work
If a piece of work is done in x number of days, then the work done in one day = 1/x
Total Wok Done = Number of Days × Efficiency
Efficiency and Time are inversely proportional to each other
X:y is the ratio of the number of men who are required to complete a piece of work, then the ratio of the time taken by them to complete the work will be y:x
Solution :
Amount of commission earned = 25% of $1250
= 25/100 × $1,250
= 0.25 × 1250
= $312.5
Total earnings = Base salary + Amount of commission earned
= $500 + $312.5
= $812.5
Ethan makes in a week = $812.5
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min
x1+2x2
s.t. X1 + X2 ≤ 4
x1 - X2≥ 5
X1, X2 ≥ 0
For the LP problem above, which of the following statement is true?
A• The LP has a unique optimal solution.
B• The LP has multiple optimal solutions.
C• The LP has no feasible solution.
D• The LP is unbounded.
The correct option is B• "The LP has multiple optimal solutions". Because feasible region, intersects with the objective function in multiple points.
The given linear programming (LP) problem consists of two constraints and two decision variables, x1 and x2. The objective function to be minimized is x1 + 2x2.
To determine the nature of the LP problem, we need to analyze its feasible region and objective function.
The first constraint, x1 + x2 ≤ 4, defines a region in the xy-plane that lies below the line x1 + x2 = 4. The second constraint, x1 - x2 ≥ 5, defines a region that lies to the right of the line x1 - x2 = 5. The feasible region is the intersection of these two regions.
By analyzing the feasible region, we can determine the potential optimal solutions. Since the feasible region is a bounded region, there are finite points within it. The objective function, x1 + 2x2, represents a straight line in the xy-plane with a positive slope. As long as this line intersects the feasible region, there will be multiple points of intersection, each representing a potential optimal solution.
Therefore, the LP problem has multiple optimal solutions because there are multiple points of intersection between the objective function and the feasible region.
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whats 80-40=
im dum answer this now.
Answer:
1010101001001010010100010100101011010101011010101101010100101010101001*****Error*****(bsys2EVRYBODY7dgheHATESjsdjhdjMEndbndnd822b3)*****Error*****
Step-by-step explanation:
Answer:
40 Thnxxx soooo muchhh really appreciate ittt
Expressed
as a
decimal, 3% is
A
0.03
B
0.3
3.0
D
30.0
Answer:
0.03
Step-by-step explanation:
3% as a fraction is 3/100. as a decimal it is 0.03. notice when you read the decimal aloud, it is three one-hundredths, which is also the same read aloud in a fraction.
Answer:
A
Step-by-step explanation:
3/100=0.03
:))) Helps?
determine when g(x)= 2/3 (0.2)^x is positive, negative, increasing, or decreasing
Answer:
Step-by-step explanation:
just look at its last number
0=x^2+2x-5 (-3.4,0) and (____,0) PLEASE HELP
the answer is. 1.449, 0. You might have to put it into a decimal. sorry if wrong
(-3)5 x(-3)4 x(-3)= ayudenme por fa gracias
Answer:
-540
Step-by-step explanation:
(-15)(-12)(-3)=-36*15=-540
Answer:
-540
Step-by-step explanation:
Josh must submit for paintings as part of his application to art school if he has 25 to choose from how many ways can he took 4?
a company took 59 employees to a management conference across the country. Each round trip plane ticket cost $799. What was the total amount needed to take the employees to the conference?
Answer:
47,141
Step-by-step explanation:
I'm pretty sure that's right. Hope I helped <3
Answer:
Its this $47,141
Bayes' _________ is used to revise probabilities when one has new ______\\
-Bayes' theorem is used to revise probabilities when one has new information.
-Bayes' theorem is used to revise probabilities when one has new information. It relates the conditional probabilities of two events, A and B, as follows:
\(P(\frac{A}{B})= P(\frac{B}{A}) \frac{P(A)}{P(B)}\)
-where P(A|B) is the conditional probability of A given that B has occurred, \(P(\frac{B}{A})\) is the conditional probability of B given that A has occurred, P(A) is the prior probability of A, and P(B) is the prior probability of B.
-Bayes' theorem allows us to update our knowledge about the probability of A after we have observed B. It is widely used in fields such as statistics, machine learning, and artificial intelligence.
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Question is attached!!!!!!!! Pls help!!!! Guys I RLLY need ur help!!!!!!!!
Answer:
y = \(3^{x}\)
Step-by-step explanation:
the standard form of an exponential function is
y = a\(b^{x}\)
Use ordered pairs from the table to find a and b
Using (0, 1 ) , then
1 = a\(b^{0}\) [ \(b^{0}\) = 1 ] , so
1 = a × 1 , that is a = 1
y = \(b^{x}\)
Using (1, 3 )
3 = \(b^{1}\) ⇒ b = 3
y = \(3^{x}\) ← required exponential function
If triangle RST and triangle XYZ are similar, which of these equations must be true?
Answer: A
Step-by-step explanation:
If they are similar, that means the proportions for corresponding sides will be the same.
I personally ignore the picture and use the labels of "triangle RST and triangle XYZ" that the problem gives because the XYZ picture is not lined up with the similarity it has with RST.
(A) says that side ST is corresponding with side YZ,
[] Triangle RST and triangle XYZ
-> Correct
(A) also says that side RT is corresponding with size XZ,
[] Triangle RST and triangle XYZ
-> Correct
This means that option A is the correct answer.
Fermat's Little Theorem a. State and prove Fermat's Little Theorem. b. State and prove/disprove the contrapositive of Fermat's Little Theorem. c. In plain language, explain what Fermat's Little Theorem means and discuss the importance it's importance in Mathematics.
a. Statement and Proof of Fermat's Little Theorem:
Fermat's Little Theorem concerns primes and integers in number theory.
Fermat's Little Theorem asserts that when a positive integer a, which is not divisible by a prime number p, is raised to the power of (p-1), the resultant remainder upon division by p will be 1.
So it will be: \(\\ a ^(^p^-^1) = 1 (mod p)\)
What is Fermat's Little TheoremThe Evidence has been gathered to substantiate this claim is:
In order to demonstrate the validity of Fermat's Little Theorem, we will examine a scenarios: one where a is divisible by p and the other where a is not divisible by p.If a is divisible by p, then a can be written as the product of p and a positive integer k. Expressing the value of a to the power of p minus one in relation to k and p can be achieved through utilization of the equation (k multiplied by p) raised to the power of p minus one.
By performing a simplification of the given expression, we can obtain the outcome where "a" to the power of "p" minus one is equivalent to "k" to the power of "p" minus one times "p" to the power of "p" minus one.
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