A car Purchased for $18,500. After each year, the resale value decreases by 30%. What will the resale value be after 4 years
A truck carried 3 1/3 ton of sand, but lost 1/4 ton of sand along the way. how many tons of sand were survived
Which statement best explains whether y = 3x + 5 is a linear function or a nonlinear function?
1. It is a linear function because its graph contains the points (0, 0), (1, 0), (2, 8), which are on a straight line.
2. It is a linear function because its graph contains the points (0, 0), (1, 0), (2, 4), which are not on a straight line.
3. It is a nonlinear function because its graph contains the points (0, 5), (1, 8), (2, 11), which are on a straight line.
4. It is a linear function because its graph contains the points (0, 5), (1, 8), (2, 11), which are on a straight line.
A candy manufacturer makes two types of special candy, say A and B. Candy A consists of equal parts of dark chocolate and caramel and Candy B consists of two parts of dark chocolate and one part of walnut. The company has in stock 430 kilograms of caramel, 360 kilograms of dark chocolate, and 210 kilograms of walnuts. The company sells Candy A for P285 and Candy B for P260 per kilograms. How much of each candy should the manufacturer produce to maximize profit?
To maximize profit, the candy manufacturer should use mathematical linear programming. The decision variables are the amounts of Candy A (x) and Candy B (y). The profit function P = 285x + 260y is to be maximized subject to constraints arising from available stock of dark chocolate, caramel, and walnuts, leading to a typical linear programming problem.
Explanation:To solve this problem, we need to use Linear Programming, a mathematical model that helps in making optimal decisions. The candies are what we call decision variables. Our decision variables here are Candy A and Candy B.
Candy A: x kilograms (dark chocolate and caramel in equal parts).
Candy B: y kilograms (two parts of dark chocolate and one part of walnut).
We want to maximize the profit function P = 285x + 260y subject to constraints arising from the available stock of dark chocolate (DC), caramel (C), and walnuts (W).
DC constraint: A uses DC in equal parts, and B uses two parts DC. Therefore, x + 2y ≤ 360.C constraint: A uses equal parts C, x ≤ 430 (as B doesn't use C).W constraint: B uses one part W, y ≤ 210 (as A doesn't use W).
The next step is to solve these inequalities graphically or using mathematical methods to get values of x and y that maximize P while respecting constraints. This case, where we want to optimize a certain function with respect to constraints, is a typical linear programming problem in mathematics.
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what is the area of a right triangle with side lengths 6, 8, and 10? a. 48 b. 40 c. 30 d. 24
Wendy wants $15,000 saved in 6 years to make a down payment on a house. How much money should she invest now at 4.65% compounded annually in order to meet her goal?
Miss fernandez built two rectangular gardens the length of garden a is 2 feet longer than twice its width the list of garden b is 1 foot less than the width of garden a the length of garden b is 2.5 times its width the two gardens have the same perimeter what are the dimensions of the gardens
I really need help and no one will help..!
solve each system by substitution. explain step by step
r + s = -12
4r - 6s = 12
Please help! Numbers 16 & 17.. It will be much appreciated! :D
How would 0.333333 be classified?
The given number 0.333333 is rational number and real number.
What is the decimal number?A decimal number is said to be irrational if it never repeats. For instance, since there is no repetition, the decimal representation of pi is an estimate. All rational numbers have decimal expansions that either come to an end (in which case all subsequent values are zero) or follow a pattern.
What is the ratio?The ratio is defined as a relationship between two quantities, it is expressed one divided by the other.
What is the rational number?A rational number is defined as a number that can be represented as the ratio of two integers, where the denominator must not equal zero.
A rational number is any number that can be written as a ratio. Think of a ratio kind of like a fraction, functionally at least.
Given number, 0.333333 is a repeating decimal that comes from the ratio of 1 to 3, or 1/3. Thus, it is a rational number.
The number 0.333333 is also real number.
Hence, the number 0.333333 is rational number and real number.
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is 87 a prime or composite
Answer:
Prime
Step-by-step explanation:
77 is composite
It has other factors besides 1 and itself
68 -composite
52-composite (it is even)
31 -prime
59-prime
a recipe calls for 2 1/2 cups of flour toake 2 dozen coockies.how many cups of flour would be required to bake 15 dozen cookies?
A degree is larger than 30 arc minutes. ...?
true or false
Answer:
True
Step-by-step explanation:
Given : Statement - 'A degree is larger than 30 arc minutes'.
To find : True or False ?
Solution :
We know that,
1 degree is [tex]1^\circ=\frac{1}{360}[/tex] of a circle
1 arc minute is [tex]1^'=(\frac{1}{60})^\circ[/tex] of degree.
So, 30 arc minutes is [tex]30^'=(\frac{30}{60})^\circ[/tex] of degree.
30 arc minutes is [tex]30^'=(\frac{1}{2})^\circ[/tex] of degree.
Which clearly means,
[tex]1^\circ>(\frac{1}{2})^\circ[/tex]
[tex]1^\circ>30^'[/tex]
Therefore, The given statement is true.
'A degree is larger than 30 arc minutes'.
on a number line: What does a closed circle mean and what does an open circle mean?
On a number line, closed circle on a point indicates that point is also included and the open circle indicates that point is not included.
What is a Number Line?Number lines are represented as straight lines drawn horizontally on which integers are written in equal intervals.
This line is extended to infinity on both sides.
Number line includes positive numbers, zero and negative numbers.
Closed circles and open circles are used in number line to represent linear inequalities in one variable.
Let 'n' be any number on the number line.
We use open circles on 'n' to denote inequalities like x < n and x > n.
We use closed circles on 'n' to denote inequalities like x ≤ n and x ≥ n.
Hence, open circles are used to numbers which are greater than or less than ( > or < ) and closed circles are used to numbers which are greater than or equal to and less than or equal to ( ≥ or ≤ ).
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21/80 in a simplified fraction
During World War I, the Germans had a gun
called Big Bertha that was used to shell Paris.
The shell had an initial speed of 2.41 km/s at
an initial inclination of 61.5 to the horizontal.
The acceleration of gravity is 9.8 m/s2 .
How far away did the shell hit?
Answer in units of km
How long was it in the air?
Answer in units of s
To find the distance the shell hit and the time it was in the air, we need to determine the total time it takes for the shell to hit the ground. The horizontal component of the shell's initial velocity remains constant, while the vertical component is affected by gravity. By solving for the time using the vertical component, we can then multiply it by the horizontal component to find the distance and convert it to kilometers.
Explanation:To find the distance that the shell hit, we need to determine the time it was in the air. We can do this by finding the total time it takes for the shell to hit the ground. The shell's initial velocity is given as 2.41 km/s at an angle of 61.5 degrees. We can break down the initial velocity into its horizontal and vertical components. The horizontal component remains constant, while the vertical component is affected by gravity. Using the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time, we can solve for the time it takes for the shell to reach the ground.
Find the horizontal component of the initial velocity using the equation horz_vel = init_vel * cos(angle).Find the vertical component of the initial velocity using the equation vert_vel = init_vel * sin(angle).Using the vertical component, solve for the time it takes for the shell to reach the ground using the equation -vert_vel = 0 + 0 * t - 0.5 * acceleration * t^2.The time calculated in step 3 will give us the total time the shell was in the air.Multiply the total time by the horizontal component of the initial velocity to get the distance that the shell hit.Convert the distance from meters to kilometers by dividing by 1000.So, the shell hit a distance of [distance] km away and was in the air for [time] s.
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1. A recipe calls for cups of flour, cup of white sugar, and cup of brown sugar. The recipe makes 6 servings.
(a) How many cups of flour are there per serving? Show your work.
(b) How many total cups of sugar (white and brown) are there per serving? Show your work.
(c) Suppose you modify the recipe so that it makes 9 servings. How much more flour do you need for the modified recipe than you need for the original recipe? Show your work
Answer:
abc
Step-by-step explanation:
A=4 B= 26 C= 4 and 2
half a pepperoni pizza plus three fourths a ham-and-pineapple pizza contains 765 calories. One fourth of a pepperoni pizza plus a whole ham-and-pineapple pizza contains 745 calories. How many calories are in each kind of pizza?
1. D (4,5)
2. C
3. D
4. A
5. C
6. D
7. B
8. C
9. A
10. B
OR
1. B (2,6)
2. A
3. A
4. C
5. D
6. A
7. A
8. B
9. C
10. A
Don't deny it, you came here for the answers ;)
Final answer:
A half pepperoni pizza contains 660 calories and a ham-and-pineapple pizza contains 580 calories.
Explanation:
Let's represent the number of calories in half a pepperoni pizza as x, and the number of calories in a ham-and-pineapple pizza as y. We can set up a system of equations to represent the given information:
0.5x + 0.75y = 765 -- Equation (1)
0.25x + y = 745 -- Equation (2)
We can solve this system of equations using the method of substitution:
From Equation (2), y = 745 - 0.25x
Substitute this value of y into Equation (1):
0.5x + 0.75(745 - 0.25x) = 765
Simplify and solve for x:
0.5x + 558.75 - 0.1875x = 765
0.3125x = 206.25
x = 660
Now substitute the value of x back into Equation (2) to find y:
0.25(660) + y = 745
Simplify and solve for y:
165 + y = 745
y = 580
Therefore, there are 660 calories in a half pepperoni pizza, and 580 calories in a ham-and-pineapple pizza.
Find the area of a parallelogram if a base and corresponding altitude have the indicated lengths.
Base 1 1/2 feet, altitude 6 inches.
Area = sq. ft. ...?
Answer:
3/4 sq. ft.
Step-by-step explanation:
Hope it helps.
Complete y^2+15y+56=(y+7)(y+?) ...?
y² + 15y + 56 = (y + 7)(y + a)
y² + 15y + 56 = y² + (7 + a)y + 7a
We can now compare the coefficient of the like terms, either the one with y or the one without y, and find the value of a.
15 = 7 + a; a = 8
OR
56 = 7a; a = 8
Second factor is (y + 8)
A brownie recipe requires one and one third cups of sugar to one cup of chocolate chips. If four and two thirds cups of sugar is used, what quantity of chocolate chips will be needed, according to the recipe?
...?
Final answer:
To find the number of chocolate chips needed for four and two-thirds cups of sugar, we use the given ratio of 4/3 cups of sugar to 1 cup of chocolate chips and set up a proportion. Solving it gives us 3.5 cups of chocolate chips.
Explanation:
To determine the number of chocolate chips needed when using four and two-thirds cups of sugar according to the brownie recipe, we must first understand the ratio given in the recipe, which is one and one-third cups of sugar to one cup of chocolate chips. This ratio can be simplified to a fraction for easier calculation: 4/3 cups of sugar : 1 cup of chocolate chips.
With this ratio, we can set up a proportion to find the amount of chocolate chips needed for four and two-thirds cups of sugar:
(4/3 cups of sugar) / (1 cup of chocolate chips) = (14/3 cups of sugar) / (x cups of chocolate chips)To solve for x, we cross-multiply and solve the resulting equation:
(4/3) * x = (14/3) * 1x = (14/3) * (3/4)x = 14/4x = 3.5The quantity of chocolate chips needed is 3.5 cups when using four and two-thirds cups of sugar.
4sin(x)−4=0
solve for x
Wally bakes muffins. in each batch of 12 muffins, he bakes 8 bluberry muffins write in simplest form the fraction of muffins that are not blue berry
Answer:
probably 4/12 = 1/3 muffins are not blueberry
Step-by-step explanation:
What is a soliloquy? ...?
What is the best approximation of the sine of 50°?
A. 0.2624
B. 0.6428
C. 0.7660
D. 1.1918
What is d if p equals 15 in d=-3p^2+168p-315
Solve for x. Enter your answer in interval notation using grouping symbols.
x^2+4x<45 ...?
The mean number of hours that Raphael worked over the past four weeks is 37.75. If he works 40 hours this week, what will the mean number of hours be that he will have worked over the five-week period?
What is the five-week mean?
The graph of y = x2 is shown below.
If graphed on the same grid, which of the following could be the graph of y = 0.4x2?
Answer:
The answer is in the attachment.
Step-by-step explanation:
Coefficient in front of x^2 is 0.4. What that means is that for same increase of x now we will have less increse of y. If you picture that we can also say that graph would be wider. The graph will stay on positive side of y axis because x^2 is always positive and 0.4 times that is again always positive.
The answer is third graph (middle one)
Which of the following is a result of shifting a circle with equation (x + 3)² + (y - 2)² = 36 left 3 units?
Answer:
The answer is [The x-coordinate of the center of the circle decreases by 3.]
Step-by-step explanation: