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.
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.
Learn more about rational number here :
https://brainly.com/question/17450097
#SPJ2
A car Purchased for $18,500. After each year, the resale value decreases by 30%. What will the resale value be after 4 years
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:
Solve for x. Enter your answer in interval notation using grouping symbols.
x^2+4x<45 ...?
Please help! Numbers 16 & 17.. It will be much appreciated! :D
In the diagram below, AB is parallel to CD. What is the value of x?
The correct answer is: Option (D) x = 72°
Explanation:
When two lines are crossed by another line, the angles in matching corners are called corresponding angles. When the two lines are parallel, the corresponding angles are equal.
Here in this case, the two lines are "AB" and "CD", and both are parallel and are crossed by the line; therefore, the corresponding angles will be the same.
Since the first corresponding angle is 72°, the second angle x will be 72° as well. The correct answer is: x = 72° Option (D).
In the diagram below, AB is parallel to CD. What is the value of x?
Answer: 72!
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
suppose sin u= x and u is between 0 and pi/2. what is sec u? ...?
The required value will vary Between [1,∞)
What is Trigonometry?It is the branch of science that studies the relation between right-angled triangles.
How to solve?if sin u = x and u varies from 0 to [tex]\frac{\pi }{2}[/tex]
We know, Sec u = [tex]\frac{1}{cos u}[/tex]
Then, for sec u or sec u varying from 0 to [tex]\frac{\pi }{2}[/tex] value will be in between [1,∞)
To know more about Trigonometry visit :
https://brainly.com/question/2272297
#SPJ2
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
4sin(x)−4=0
solve for x
What is a soliloquy? ...?
I shall Upvote!
Suppose the population of a town is 8,200 and is growing 3% each year.
a. Write an equation to model the population growth.
b. Predict the population after 3 years.
A: y = 8,200 • 3^x ; about 221,400 people
B: y = 8,200 • 3^x ; about 8,960 people
C: y = 3 • 8,200^x ; about 73,800 people
D: y = 8,200 • 1.03^x ; about 8,960 people
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)
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.
Learn more about Calculating the distance and time a shell travels in the air here:https://brainly.com/question/24196077
#SPJ3
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)
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:
in a carnival drawing,a green ticket wins $1,a yellow ticket wins $5,and a blue ticket wins $10. There are 100 green tickets, 25 yellow tickets and 5 blue tickets. in simplest form, what are the odds in favor of winning $5 or more?
The odds in favor of winning $5 or more at the carnival are 3 to 10.
To determine the odds in favor of winning $5 or more at the carnival, we need to consider the number of tickets that win $5 or more and the total number of tickets.
Identify the tickets that win $5 or more: Yellow tickets win $5 and Blue tickets win $10.
Count the number of these tickets:
Yellow tickets: 25
Blue tickets: 5
Total tickets that win $5 or more:
25 + 5 = 30
Total number of tickets:
100 + 25 + 5 = 130
Odds in favor of winning $5 or more is the ratio of favorable outcomes to unfavorable outcomes:
Winning tickets: 30
Non-winning tickets:
130 - 30 = 100
Simplified odds:
30 to 100 = 3 to 10
Therefore, the odds in favor of winning $5 or more are 3 to 10.
The odds in favor of winning $5 or more in a carnival drawing are 3 : 10. So, the correct option is (B).
To determine the odds in favor of winning $5 or more in a carnival drawing, observe the number of tickets for each prize and calculate the favorable outcomes.
Here are the ticket counts:
Green ticket ($1): 100 ticketsYellow ticket ($5): 25 ticketsBlue ticket ($10): 5 ticketsFirst, calculate the total number of tickets:⇒ 100 (green) + 25 (yellow) + 5 (blue) = 130 tickets
Next, calculate the number of tickets that win $5 or more:⇒ 25 (yellow) + 5 (blue) = 30 tickets
The remaining tickets are the losing tickets or those winning less than $5 (green):⇒ 130 (total) - 30 = 100 tickets
Therefore, the odds in favor of winning $5 or more are 30:100, which simplifies to 3:10. This converts to the following odds as a ratio:
So, the correct option is (B) 3:10.
Complete question:
In a carnival drawing, a green ticket wins $1, a yellow ticket wins $5 and a blue ticket wins $10. There are 100 green tickets, 25 yellow tickets and 5 blue tickets. In simplest form, what are the odds in favor of winning $5 or more?
A. 1:1
B. 3:10
C. 2:1
D. 1:3
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?
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.
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
what is the area of a right triangle with side lengths 6, 8, and 10? a. 48 b. 40 c. 30 d. 24
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.
I really need help and no one will help..!
solve each system by substitution. explain step by step
r + s = -12
4r - 6s = 12
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
21/80 in a simplified fraction
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.
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 ≤ ).
To learn more about number line, click:
https://brainly.com/question/13425491
#SPJ2
Suppose z=x^2*sin(y), x=2s^2−4t^2, y=4st.
A. Use the chain rule to find ∂z/∂s and ∂z/∂t as functions of x, y, s and t.
Use the chain rule of differentiation to calculate ∂z/∂s and ∂z/∂t. Start by differentiating the functions z with respect to x and y, then differentiate the functions x and y with respect to s and t. Finally, plug the derived values into the chain rule formula to get the expressions for ∂z/∂s and ∂z/∂t.
Explanation:To solve the problem, we will need to apply the chain rule in order to calculate ∂z/∂s and ∂z/∂t. The chain rule is used in calculus to differentiate a function that has other functions inside of it.
We will differentiate z which is the function of x and y, and x and y themselves are functions of s and t.
The steps are as follows:
Calculate ∂z/∂x and ∂z/∂y by differentiating z with respect to x and y. Calculate ∂x/∂s, ∂x/∂t, ∂y/∂s and ∂y/∂t by differentiating x and y with respect to s and t.Use these calculated values to calculate ∂z/∂s and ∂z/∂t by applying the chain rule formula.
The chain rule formula is:
∂z/∂s = ∂z/∂x * ∂x/∂s + ∂z/∂y * ∂y/∂s
and
∂z/∂t = ∂z/∂x * ∂x/∂t + ∂z/∂y * ∂y/∂t.
This will give you the final expressions for ∂z/∂s and ∂z/∂t as functions of x, y, s, t.
Learn more about Chain Rule here:https://brainly.com/question/28972262
#SPJ3
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'.