Write the equation 8x+3y=-3 in slope intercept form.
Answer:
y=8/3x-1
Step-by-step explanation:
y=mx+b
You turn 8 & 3 into a fraction while keeping the X.
What does y equal?
Will Give Brianlest!
Answer:
\(\boxed{\tt y=48}\)
Step-by-step explanation:
\(\tt \cfrac{3}{16}=\cfrac{9}{y}\)
Cross multiply:-
\(\tt 3 \times y=(9)\times (16)\)
\(\tt 3y=144\)
Divide both sides by 3:-
\(\tt \cfrac{3y}{3}=\cfrac{144}{3}\)
Simplify:-
\(\tt y=48\)
_________________
Hope this helps!
Answer:y=48 I hope this is helpful good luck have a good day
Step-by-step explanation:
3/16 = 9/y
Determine the defined range
3/16=9/y y=0 cross out the equal sign y=0
Simplify the equation using cross-multiplication
3y=144
Divide both sides of the equation by 3
y=48
Check if the solution is in the defined range
Terry's house is 32 feet wide and the peak of the roof line is at 24 feet. write the absolute value equation to model the roof line
The peak is at y = 24 feet, the vertex point (h, k) is (16, 24). Plugging these values into the equation, we get:
y = |x - 16| + 24
This equation models the roof line of Terry's house.
To model the roof line of Terry's house, we can use the concept of absolute value. The equation for an absolute value function can be written as:
y = |x - h| + k
where (h, k) represents the vertex of the absolute value graph.
In this case, the peak of the roof line is at 24 feet. Since the width of the house is 32 feet, the vertex of the absolute value graph will be at the midpoint of the width, which is 16 feet. Therefore, h = 16.
Since the peak is at y = 24 feet, the vertex point (h, k) is (16, 24). Plugging these values into the equation, we get:
y = |x - 16| + 24
This equation models the roof line of Terry's house.
Learn more about vertex from
https://brainly.com/question/21191648
#SPJ11
what is the inverted matrix calculator symbol?
The formula D = inv (A) returns the inverse of a symbolic matrix A. The symbol will be \(A^{-1}\).
If A is a non-singular square matrix, then \(A^{-1}\), often known as the inverse matrix of A, must exist if it is to satisfy the following property:
A\(A^{-1}\) =\(A^{-1}\)A = I, where I is the identity matrix.
Finding the minors and cofactors of the given matrix's components is one of the most crucial steps in determining its inverse. To comprehend this approach clearly, follow the steps listed below.
The following formula may also be used to find the inverse matrix:
\(A^{-1}\)= adj(A)/det (A).
The calculation for the inverted matrix is done.
Hence they are the symbol and methods to find the inverted matrix.
Learn more about Matrix:
https://brainly.com/question/18187793
#SPJ4
Grant paddled a canoe
34 mile in 12 hour. How fast did Grant paddle in miles per hour? (2pts) (Hint: Insert a table to help solve)
Answer:
2.83 miles per hour
Step-by-step explanation:
Just divide the amount of miles by how many hours it took her too paddle that far.
Use conditional proof and the eighteen rules of inference to derive the conclusions of the following symbolized arguments. Having done so, attempt to derive the conclusions without using conditional proof.
1. N ⊃ O
2. N ⊃ P / N ⊃ (O • P)
The conclusion of the symbolised argument is that N implies (O and P). This can be proven using conditional proof and the eighteen rules of inference, or using the rule of conjunctive simplification.
The symbolic argument's conclusion is that N implies (O and P). This can be demonstrated using conditional proof and the eighteen inference rules.
Proof:
1. N ⊃ O (Premise)
2. N ⊃ P (Premise)
3. N (Assumption)
4. O (1,3 Modus Ponens)
5. P (2,3 Modus Ponens)
6. O•P (4,5 Conjunction)
7. N ⊃ (O•P) (3-6 Conditional Proof)
8. N ⊃ (O•P) (2,7 Disjunctive Syllogism)
This leads us to the conclusion that N implies (O and P).
Without the use of conditional proof, the identical result can be reached. The conjunctive simplification rule can be used to do this.
Proof:
1. N ⊃ O (Premise)
2. N ⊃ P (Premise)
3. N (Assumption)
4. O (1,3 Modus Ponens)
5. P (2,3 Modus Ponens)
6. O•P (4,5 Conjunction)
7. N ⊃ (O•P) (Conjunctive Simplification)
Therefore, we have derived the conclusion that N implies (O and P).
Complete Question:
Use conditional proof and the eighteen rules of inference to derive the conclusions of the following symbolized arguments. Having done so, attempt to derive the conclusions without using conditional proof.
1. N ⊃ O
2. N ⊃ P / N ⊃ (O • P)
To learn more about simplification visit:
https://brainly.com/question/30231919
#SPJ4
Let f(x) = \(\sqrt{x^2-2}\) and g(x) = -2f(x+5)
Write a rule for g
g(x)=
The rule for g is g(x) = (-2x - 10)(√(x² - 2)) for the function g(x) = -2f(x+5).
What is function?One way to think of a function is as a rule that assigns or maps each member of a set, x, to the same value, y, known as its image.
x → Function → y
Functions are frequently denoted by a letter, such as f, g, or h. F(x) = x2+ 5 is the formula for the function that squares a number and adds a 3. A function's impact on specific values can be demonstrated using the same idea.
Given that f(x) = √(x² - 2)
And g(x) = -2f(x+5)
Substitute the function f(x) = √(x² - 2) in g(x) = -2f(x+5)
g(x) = -2(√(x² - 2))(x+5)
g(x) = (-2x - 10)(√(x² - 2))
Thus, the rule for g is g(x) = (-2x - 10)(√(x² - 2)) for the function g(x) = -2f(x+5).
Learn more about Functions
https://brainly.com/question/12431044
#SPJ1
Selling price=7950and gain =6% what is the cost price
The seller purchased the product at a cost of 7500 and sold it for 7950, which resulted in a gain of 6%. So, the cost price is 7500.
In business, it is essential to keep track of cost prices and profit margins to ensure profitability. If the selling price is 7950 and the gain is 6%, we can use the following formula to calculate the cost price:
Cost price = Selling price / (1 + Gain%)
Substituting the given values, we get:
Cost price = 7950 / (1 + 0.06)
Cost price = 7500
Therefore, the cost price of the product is 7500, the gain percentage is calculated based on the cost price and not the selling price.
To know more about cost price:
https://brainly.com/question/23064489
#SPJ4
find the volume of the two cubes
Answer:
v=lxbxh
v=5x5x5
v=125cm
volume b
v=lxbxh
v=5x5x5
v=125cm
volume A+volume B
125+125=150
Step-by-step explanation:
you find the first one first then you find the second one then you add
Answer:
First cube
\( = {125}^{3} \)
second cube
\( = {125}^{3} \)
125 +125=250
Step-by-step explanation:
The formulas to find the volume of a cube are:
V = s3, where s is the edge length of the cube.
\(v = 5 \times 5 \times 5 = {125}^{3} \)
a survey of athletes at a high school is conducted, and the following facts are discovered: 43% of the athletes are football players, 56% are basketball players, and 4% of the athletes play both football and basketball. an athlete is chosen at random from the high school: what is the probability that they are either a football player or a basketball player? enter your answer as a percentage.
the probability that the randomly chosen athlete is either a football player or a basketball player is 99%.
To find the probability that the randomly chosen athlete is either a football player or a basketball player, we need to calculate the union of the probabilities.
Let's denote the probability of being a football player as P(F) and the probability of being a basketball player as P(B). We are given the following information:
P(F) = 43% = 0.43
P(B) = 56% = 0.56
P(F ∩ B) = 4% = 0.04 (since 4% play both football and basketball)
The probability that an athlete is either a football player or a basketball player can be calculated using the formula:
P(F or B) = P(F) + P(B) - P(F ∩ B)
Plugging in the values:
P(F or B) = 0.43 + 0.56 - 0.04
= 0.99
Therefore, the probability that the randomly chosen athlete is either a football player or a basketball player is 99%.
to know more about probability visit:
brainly.com/question/31828911
#SPJ11
there are 1,8601,860 freshmen and 2,1302,130 sophomores at a prep rally at noon. after 1212 p.m., 2020 freshmen arrive at the rally every five minutes while 1515 sophomores leave the rally. find the ratio of freshmen to sophomores at 11 p.m
At 11 p.m., there are approximately 24,120 freshmen and 9,000 sophomores at the prep rally, resulting in a ratio of 8:3 (freshmen to sophomores).
Starting with the initial numbers, we have 1,860 freshmen and 2,130 sophomores at noon. From 12 p.m. onward, 2020 freshmen arrive every five minutes, while 15 sophomores leave every five minutes. To find the ratio at 11 p.m., we need to calculate the number of students at that time.
Between noon and 11 p.m., there are 11 hours, or 660 minutes. In this duration, 2020 freshmen arrive every five minutes, so we have (660/5) * 2020 = 266,400 freshmen arriving.
During the same period, 15 sophomores leave every five minutes, resulting in (660/5) x15 = 1,980 sophomores leaving.
Adding the initial numbers and accounting for arrivals and departures, we have:
Total freshmen = 1,860 + 266,400 = 268,260
Total sophomores = 2,130 - 1,980 = 150
Therefore, at 11 p.m., there are approximately 268,260 freshmen and 150 sophomores at the prep rally. The ratio of freshmen to sophomores is 268,260:150, which simplifies to 8:3.
Learn more about ratio: brainly.com/question/12024093
#SPJ11
Taylor Series methods (of order greater than one) for ordinary differential equations require that: a. the solution is oscillatory
b. the higher derivatives be available is oscillatory
c. each segment is a polynomial of degree three or less
d. the second derivative i
d. the second derivative is available Taylor Series methods of order greater than one for ordinary differential equations require the second derivative of the solution to be available.
These methods use a Taylor series expansion to approximate the solution of an ordinary differential equation. The Taylor series is a polynomial representation of a function in terms of its derivatives evaluated at a particular point. By computing higher order derivatives at the initial point, a higher order Taylor series can be constructed, which provides a more accurate approximation of the solution. Therefore, to use Taylor Series methods of order greater than one, the second derivative of the solution must be available.
Learn more about Taylor Series here:
https://brainly.com/question/30765738
#SPJ11
solve the quadratic equation
x2-10x+49=4x+1
Answer:
x=8 & x=6
Step-by-step explanation:
Answer:
X= X2+48/14
Step-by-step explanation:
The average age of 6 men is 35 years and the average age of four of them is 32 year.
Find the ages of the remaining two ment one is 3 years older than the other.
Let's denote the ages of the two remaining men as x and x + 3 (since one is 3 years older than the other).
We know that the average age of 6 men is 35 years. So, the sum of their ages is 6 * 35 = 210 years.
We also know that the average age of four of them is 32 years. So, the sum of their ages is 4 * 32 = 128 years.
To find the sum of the ages of the two remaining men, we subtract the sum of the ages of the four men from the sum of the ages of all six men:
210 - 128 = 82 years.
Now, we can set up an equation to solve for the ages of the remaining two men:
x + (x + 3) = 82.
Combining like terms, we get:
2x + 3 = 82.
Subtracting 3 from both sides:
2x = 79.
Dividing both sides by 2:
x = 39.5.
So, one of the remaining men is 39.5 years old, and the other is 39.5 + 3 = 42.5 years old.
The quadratic model f(x) = –5x2 + 200 represents the approximate height, in meters, of a ball x seconds after being dropped. The ball is 50 meters from the ground after about how many seconds?
The ball is approximately 50 meters from the ground after about 5.477 seconds.
To find the approximate time it takes for the ball to reach a height of 50 meters, we need to solve the quadratic equation \(f(x) = -5x^2 + 200 = 50\).
Let's set f(x) equal to 50 and solve for x:
\(-5x^2 + 200 = 50\)
Rearranging the equation, we have:
\(-5x^2 = 50 - 200\\-5x^2 = -150\)
Dividing both sides by -5:
\(x^2 = 30\)
Taking the square root of both sides:
x = ±√30
Since we are looking for the time in seconds, we only consider the positive value of x:
x ≈ √30
Using a calculator, we find that the square root of 30 is approximately 5.477.
Please note that this is an approximate value since the quadratic model provides an approximation of the ball's height and does not account for factors such as air resistance.
For more such questions on quadratic equation
https://brainly.com/question/30164833
#SPJ8
4. Bill Watson is the Swanton Village computer technician. He earns $22.22 per hour. What is his straight-time pay for a 36-hour week?
Answer:
$799.92
Step-by-step explanation:
To find his pay, multiply the number of hours he worked by his pay per hour:
22.22(36)
= 799.92
So, his pay was $799.92
1. In 2 hours a jet flew 975 miles. What was
the jet's average speed?
Answer:
487.5
Step-by-step explanation:
975/2
BRAINLYEST PLEASE
Answer:
487.5 miles per hour
Step-by-step explanation:
to find average simply divide 975÷2
Please help! Will mark best answer as brainliest
The equation x² + kx + 2 = 0, where k is a constant has no real roots. Find the set of possible values for k.
Answer: 4 :1 , 2
(The explanation is in the .pdf)
y-intercept: (___,___)
r-intercept: (___,___)
Answer:
y= 0,4 x=0,3
Step-by-step explanation:
The following set of coordinates represents which figu
(8,8), (6,6), (8,4), (10, 6) (5 points)
Parallelogram
Rectangle
Rhombus
Square
Answer:
creates a rhombus
Step-by-step explanation:
i just used desmos, i have no idea how to explain it :/
A group of students in college of engineering studied the following subjects: 25% studied mathematics subject 20% studied electronics subject 55% studied Communications subject 10% studied both electronics and communications subjects 1- Draw Venn diagram 2- If a student is randomly selected what is the probability that he studied Communications or electronics or both subjects? 3- If a student is randomly selected what is the probability that he studied mathematics and Communications subjects?
Venn diagram:
The percentage of students that studied mathematics = 25%
The percentage of students that studied electronics = 20%
The percentage of students that studied Communications = 55%
The percentage of students that studied both electronics and Communications subjects = 10%
P(studied Communications or electronics or both subjects)
= P(studied Communications) + P(studied electronics) - P(studied both electronics and Communications subjects)
= 55% + 20% - 10%
= 65%
Therefore, the probability that a student studied Communications or electronics or both subjects is 65%.
P(studied mathematics and Communications subjects)
= P(studied mathematics) × P(studied Communications)
= 25% × 55%
= 13.75%
Therefore, the probability that a student studied mathematics and Communications subjects is 13.75%.
Drawing a Venn diagram, we have 25% studying Mathematics (M), 20% studying Electronics (E), and 55% studying Communications (C).10% studied both Electronics and Communications.
Therefore, the percentages become as follows: M = 25% - 10% = 15% E = 20% - 10% = 10% C = 55%.
Part 2 - To obtain the probability that a student studied Communications or Electronics or both subjects
P(Communication or Electronics) = P(Communication) + P(Electronics) - P(Communication and Electronics) = 55% + 20% - 10% = 65%.
The probability that a student studied Communications or Electronics or both subjects is 65%.
Part 3 -To obtain the probability that a student studied Mathematics and Communications subjects,
P(Mathematics and Communications) = P(Mathematics) * P(Communications) = 25% * 55% = 13.75%.
The probability that a student studied Mathematics and Communications subjects is 13.75%.
To know more about Venn diagram visit:
https://brainly.com/question/17041038
#SPJ11
onsider the series 310+32+152+752+3252+.... does the series converge or diverge? select answers from the drop-down menus to correctly complete the sta
The geometric series that has been provided is of divergence, since r>5.
The series is given as /10 + 3/2 + 15/2 + 75/2 + 325/2 +.....
The common ratio is
3/2 ÷ 3/10
= 3/2 ×10/3
= 5
Then,
15/2 ÷ 3/2
= 15/2 × 2/3
= 5
Thus, the common ratio is greater than 5. Therefore, the series is divergence.
Hence, the given geometric series is divergence, since r>5.
A series is considered to be convergent if the partial sums tend to a particular value, also known as a limit. In contrast, a divergent series is one whose partial sums do not approach a limit. Typically, the Divergent series either reach, reach, or don't reach a particular number.
To learn more about convergence and divergence: https://brainly.com/question/25881495
#SPJ4
Kate is a buyer for a men’s fashion retail store. She will order a new cloth overcoat from Paris for the fall fashion season. Based on her experience, she expects to sell at least 100 coats, and at most 400, but she feels that any number of sales in between is equally likely. Therefore, she estimates that her sales are uniformly distributed between 100 and 400. The total cost to the store is $100 per coat, and the retail price is set at $180. Any coats left over at the end of season would be sold at $60 each.
part 1: a) How many coats should Kate buy if she wants to maximize profits?
part 2: b) Assume Kate buys the number of coats suggested in part a), what is the probability that the coats sell out? What is the probability that they do not sell out?
Part 1: Kate should buy 100 coats to maximize profits.Part 2: The probability that the coats sell out is 0.25 (25%), and the probability that they do not sell out is 0.75 (75%).
To maximize profits, Kate should consider the scenario where she sells all the coats without any left over at the end of the season.
Since the sales are uniformly distributed between 100 and 400, buying 100 coats ensures that she meets the minimum expected sales of 100. Purchasing more than 100 coats would increase costs without a guarantee of higher sales, potentially leading to excess inventory and lower profits.
Given that the sales are uniformly distributed between 100 and 400 coats, Kate's purchase of 100 coats covers the minimum expected sales.
The probability of selling out can be calculated by finding the proportion of the range covered by the desired sales (100 out of 300). Therefore, the probability of selling out is 100/300 = 0.25 or 25%. The probability of not selling out is the complement, which is 1 - 0.25 = 0.75 or 75%.
learn more about probability here:
https://brainly.com/question/31828911
#SPJ11
3x+2x=20. What is the answer dor this equation.
Point P is shown on the polar coordinate plane.
a polar graph with angular lines every pi over 12, point P located on the eigth circle out from the pole and 2 angular lines beyond 3 pi over 2
What are the rectangular coordinates, (x, y) for P?
negative 4 comma 4 radical 3
4 radical 3 comma negative 4
4 comma negative 4 radical 3
negative 4 radical 3 comma 4
The rectangular coordinates, (x, y) for P include the following: C. (4, -4√3).
How to transform polar coordinates to rectangular coordinates?In Mathematics and Geometry, the relationship between a polar coordinate (r, θ) and a rectangular coordinate (x, y) based on the conversion rules can be represented by the following polar functions:
x = rcos(θ) ....equation 1.
y = rsin(θ) ....equation 2.
Where:
θ represents the angle.r represents the radius of a circle.Based on the information provided by the polar graph, we can logically deduce that point P has a radius of 8 units and it's positioned 2 angular lines beyond 3π/2:
Angle (θ) = 3π/2 + (2 × π/12)
Angle (θ) = 3π/2 + π/6
Angle (θ) = 10π/6 = 5π/3.
Therefore, the rectangular coordinate (x, y) are given by:
x = 8cos(5π/3)
x = 8 × 1/2
x = 4.
y = 8sin(5π/3)
y = 8 × (-√3/2)
y = -4√3
Read more on polar coordinates here: https://brainly.com/question/32313794
#SPJ1
(Present value of an annuity) Determine the present value of an ordinary annuity of $4,500 per year for 16 years, assuming it earns 8 percent. Assume that the first cash flow from the annuity comes at the end of year 8 and the final payment at the end of year 23. That is, no payments are made on the annuity at the end of years 1 through 7 . Instead, annual payments are made at the end of years 8 through 23. The present value of the annuity at the end of year 7 is \$ (Round to the nearest cent.)
The present value of the annuity at the end of year 7 is approximately $47,069.08.
To calculate the present value of an ordinary annuity, we can use the formula:
PV = PMT * [(1 - (1 + r)⁻ⁿ) / r],
where PV is the present value, PMT is the annual payment, r is the interest rate per period, and n is the number of periods.
In this case, the annual payment is $4,500, the interest rate is 8%, and the number of periods is 16. However, the payments start at the end of year 8 and continue until the end of year 23, which means there is a delay of 7 years.
Using the formula, the present value at the end of year 7 can be calculated as:
PV = $4,500 * [(1 - (1 + 0.08)⁻¹⁶) / 0.08] = $47,069.08.
To know more about present value:
https://brainly.com/question/29140663
#SPJ4
Stephanie is hosting an art show and she would like to raise at least $800. She plans on
selling VIP tickets to her family and friends for $20 each. She will also sell general admis-
sion tickets for $40 each. The venue is small, so Stephanie can sell no more than 25 total
tickets.
Answer: 10, 15
Step-by-step explanation:
Given
Stephanie wants to raise at least $800
she plans on selling VIP tickets for $20 each and general admission for $40 each
suppose there are x and y tickets for VIP and general admission
\(\therefore x+y\leq 25\\\\\Rightarrow 20x+40y\geq 800\)
solving above two inequality
Stephanie must sell 10 tickets for VIP and 15 tickets for general admission
what's the answer??
C. 116°
Step-by-step explanation:
X=Z add X & Z then subtract the answers from 180°
Which of the following expressions is a factor of the polynomial x^2 + 3/2 x - 1?
The two factors of the quadratic polynomial x^2 + 3/2 x - 1 are:
(x - 2) and (x + 0.5)
Which expression is a factor of the polynomial?We have a quadratic polynomial, sadly we don't have the options for the factors, so we will find the two factors of our polynomial.
To find the factors first we need to solve the quadratic equation:
x² + (3/2)*x - 1 = 0
Using the quadratic formula we get the solutions:
\(x = \frac{-3/2 \pm \sqrt{(3/2)^2 -4*1*(-1)} }{2*-1} \\\\x = \frac{-3/2 \pm 2.5 }{-2}\)
Then the two solutions are:
x = (-3/2 + 2.5)/-2 = -0.5
x = (-3/2 - 2.5)/-2 = 2
Then we can factorize our polynomial as:
p(x) = (x - 2)*(x - (-0.5))
p(x) = (x - 2)*(x + 0.5)
So the two factors are:
(x - 2) and (x + 0.5)
Learn more about quadratic polynomials.
https://brainly.com/question/20896994
#SPJ1
that you're positive that you should be trying out these difficult math questions, let’s get right to it! The answers to these questions are in a separate section below, so you can go through them all at once without getting spoiled.
#1:
body_ACT_0506_-_56
#2:
body_ACT_0506_-_59
#3:
body_ACT_0809_-_38_J
#4:
body_ACT_0809_-_54
#5:
body_ACT_0809_-_55-1
#6:
body_ACT_0809_-_56
#7:
body_ACT_0809_-_57-1
#8:
body_ACT_0809_-_60
#9:
body_ACT_1112_-__48-1
#10:
body_ACT_1112_-_45
#11:
body_ACT_1112_-_51-1
#12:
body_ACT_1112_-_52
#13:
body_ACT_1112_-_53
#14:
body_ACT_1112_-_58
#15:
body_ACT_1314_-_55-1
Answer:
that you're positive that you should be trying out these difficult math questions, let’s get right to it! The answers to these questions are in a separate section below, so you can go through them all at once without getting spoiled.
#1:
body_ACT_0506_-_56
#2:
body_ACT_0506_-_59
#3:
body_ACT_0809_-_38_J
#4:
body_ACT_0809_-_54
#5:
body_ACT_0809_-_55-1
#6:
body_ACT_0809_-_56
#7:
body_ACT_0809_-_57-1
#8:
body_ACT_0809_-_60
#9:
body_ACT_1112_-__48-1
#10:
body_ACT_1112_-_45
#11:
body_ACT_1112_-_51-1
#12:
body_ACT_1112_-_52
#13:
body_ACT_1112_-_53
#14:
body_ACT_1112_-_58
#15:
body_ACT_1314_-_55-1
Step-by-step explanation: