The range of the given function is:
Range: {-9,-3,0,5,7}
We are given ordered pair of set (x,y)
where, first value of ordered pair shows domain of function and second value of ordered pair shows range.
Range: It is output value of function.
Ordered pair: {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}
We can write as:
f(-2)=0, f(-4)=-3, f(2)=-9, f(0)=5, f(-5)=7
The values of f(x) are the range of function.
We will make a set of second value of all ordered pair of given set.
Range: {-9,-3,0,5,7}
Hence we get the required range of the function.
Learn more about Range here:
brainly.com/question/26098895
#SPJ9
You deposit $5,500 into a saving account that pays an annual interest rate of 5.5% compounded monthly.
How much would you have after 10 years?
Answer:
$9520.92
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Compounded Interest Rate Formula: \(\displaystyle A = P(1 + \frac{r}{n})^{nt}\)
P is principle amountr is raten is compounded ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 5500
r = 5.5% = 0.055
n = 12
t = 10
Step 2: Find A
Substitute in variables [Compounded Interest Rate Formula]: \(\displaystyle A = 5500(1 + \frac{0.055}{12})^{12(10)}\)(Parenthesis) Divide: \(\displaystyle A = 5500(1 + 0.004583)^{12(10)}\)(Parenthesis) Add: \(\displaystyle A = 5500(1.004583)^{12(10)}\)[Exponents] Multiply: \(\displaystyle A = 5500(1.004583)^{120}\)Evaluate exponents: \(\displaystyle A = 5500(1.73108)\)Multiply: \(\displaystyle A = 9520.92\)Round 765.2 to nearest hundreds
margo borrows $900.00 and must pay it back with 6% interest after 7 months. what is the total amount margo will pay back ?
Answer:
$954
Step-by-step explanation:
6% = 0.06
Adding 1 to the interest makes it so it’s added to the original amount.
$900 x 1.06 = $954
The 5-lb collar slides on the smooth rod, so that when it is at A it has a speed of 10 ft/s. A) if the spring to which it is at- tached has an unstretched length of 3 ft and a stiffness of k-= 10 lb/ etermine the normal force on the collar at this instant. B)Determine the acceleration of the collar at this instant.
The acceleration of the collar at point A is 5 ft/s^2.
A) To determine the normal force on the collar at point A, we need to consider the forces acting on the collar. The only force acting on the collar in the vertical direction is the weight of the collar (5 lb), which is balanced by the normal force exerted by the rod. Therefore, we can write:
N - 5 = 0
where N is the normal force. Solving for N, we get:
N = 5 lb
B) To determine the acceleration of the collar at point A, we need to use Newton's second law, which states that the net force acting on an object is equal to its mass times its acceleration. The net force on the collar is given by the force exerted by the spring, which is equal to the spring constant times the displacement of the collar from its unstretched length. At point A, the displacement of the collar is:
x = L - y = 3 - 0 = 3 ft
where L is the length of the rod and y is the position of the collar on the rod. Therefore, the force exerted by the spring is:
F = kx = 10 lb/ft × 3 ft = 30 lb
The weight of the collar is:
W = mg = 5 lb
where g is the acceleration due to gravity. The net force on the collar is therefore:
Fnet = F - W = 30 - 5 = 25 lb
Using Newton's second law, we can write:
Fnet = ma
where a is the acceleration of the collar. Solving for a, we get:
a = Fnet / m = 25 lb / 5 lb = 5 ft/s^2
Therefore, the acceleration of the collar at point A is 5 ft/s^2.
Accelerationhttps://brainly.com/question/16850867
#SPJ11
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
The graphical solution to a systems of equations is the coordinate pair at the place where the two linear graphs intersect.
What is the graphical solution to a systems of equationsThe graphical solution to a system of equations is a method of finding the point of intersection between the graphs of the equations. We plot each equation as a line on the same coordinate plane, and then find the point where the lines intersect.
If we have two equations in two variables, the solution to the system is the point where the two lines intersect. Also if there are three equations in three variables, the solution is the point where the three planes intersect.
In conclusion, the graphical solution to a systems of equations is the coordinate pair at the place where the two linear graphs intersect.
Read more about equations here:https://brainly.com/question/28732353
#SPJ1
Given that the polynomial f(x) has degree 8, which of the following most accurately describes the number of turning points of f(x)?
Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The polynomial f(x) that has a degree of 8 will have 7 turning points.
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
For any polynomial equation, the number of turning points is always less than or equal to the degree of the polynomial.
Generally, the number of turns is one less than the degree of the polynomial.
Hence, the polynomial f(x) that has a degree of 8 will have 7 turning points.
Learn more about Polynomials:
https://brainly.com/question/27343162
#SPJ2
2.7x + 3.2x + x Can someone help me I’m stuck on this
Answer:
6.9x
Step-by-step explanation:
2.7x + 3.2x + x = So you combine like terms. Since they all have x after them, they are all like terms so you can add them all together. x = 1
Therefore, your answer is 6.9x
Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $5,000, annual interest: 9%, interest periods: 4, number of years: 18
After 18 years, the investment compounded periodically will be worth $? more than the investment compounded annually.
(Round to two decimal places as needed.)
After 18 years, the investment compounded periodically (quarterly) will be worth $1,230.23 more than the investment compounded annually.
What is compounded interest?Compounded interest refers to the interest system that charges interest on both principal and accumulated interest.
The period of compounding in a year determines the worth of the future value.
The future value can be ascertained using an online finance calculator as follows:
Interest periods: = 4 times yearly (Quarterly)
Principal = $5,000
Annual interest rate = 9%
Number of years: 18
N (# of periods) = 72 quarters (18 years x 4)
I/Y (Interest per year) = 9%
PV (Present Value) = $5,000
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $24,815.83
Total Interest = $19,815.83
Interest periods: = Annually
N (# of periods) = 18 years
I/Y (Interest per year) = 9%
PV (Present Value) = $5,000
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $23,585.60
Total Interest = $18,585.60
Difference in Future Values $1,230.23 ($24,815.83 - $23,585.60)
Thus, an investment compounded periodically earns more than an investment compounded annually.
Learn more about compounded interest at https://brainly.com/question/28020457.
#SPJ1
Find the surface area
Answer:
Area of a sphere
Radius
15 m
Diameter
30 m
Volume
14,137 m³
Surface to volume ratio
0.2 1/m
Surface area
2,827.4 m²
Step-by-step explanation:
Find the area of a square with perimeter 12 m.
Answer:
9 m²
Step-by-step explanation:
The perimeter of a square is 4x, where is the length of one side (because all the sides have the same length).
This means that 4x = 12, so x = 3, in other words the length of one side of the square is 3 m.
To work out the area of the square, multiply the length and the width together: 3 x 3 = 9 m²
Hope this helps!
Jane and johnny are running a race. Jane's speed is 1/4 that of Johnny's.
What is Johnny's speed compared to Jane?
Explain.
25%
50%
150%
400%
The right response is 400%. In other words, Johnny moves at four times the pace of Jane.
We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.
We may compare the speeds as a fraction to figure out the ratio:
Johnny's speed divided by Jane's speed equals 4/1.
This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.
Learn more about percentages here,
https://brainly.com/question/24877689
Heather was baking cookies. The recipe called for 1 3/4 cups of flour, but she only had 2/3 cup of flour in her pantry. How much more flour does Heather need in order to complete the cookie dough?
1o /1 I thin please support me
Suppose it takes John 10 minutes to run1 mile. How long would it take if he to run 4 kilometers
Question One:
If a raw score corresponds to a z-score of 1.75, what does that tell you about that score in relation to the mean of the distribution?
Question Two:
What if the raw score corresponds to a z-score of -0.85?
Question One:A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.
Question Two: , the raw score is relatively lower than the mean.
If a raw score corresponds to a z-score of 1.75, it tells us that the raw score is 1.75 standard deviations above the mean of the distribution. In other words, the raw score is relatively higher than the mean. The z-score provides a standardized measure of how many standard deviations a particular value is from the mean.
A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.
Question Two:
If a raw score corresponds to a z-score of -0.85, it tells us that the raw score is 0.85 standard deviations below the mean of the distribution. In other words, the raw score is relatively lower than the mean. The negative sign indicates that the raw score is below the mean.
To understand the meaning of a z-score, it is helpful to consider the concept of standard deviation. The standard deviation measures the average amount of variability or spread in a distribution. A z-score allows us to compare individual data points to the mean in terms of standard deviations.
In the case of a z-score of -0.85, we can conclude that the raw score is located below the mean and is relatively lower compared to the rest of the distribution. The negative z-score indicates that the raw score is below the mean and is within the lower portion of the distribution. This suggests that the raw score is relatively smaller or less than the average value in the distribution.
By using z-scores, we can standardize and compare values across different distributions, allowing us to understand the position of a raw score relative to the mean and the overall distribution.
For mor such question mean visit
https://brainly.com/question/1136789
#SPJ8
store A charges 12.50 for a custom shirt with 0.40 per each custom character store b charges 14.75 for the same shirt but charges 0.25 per each custom characyer would make the cost from both stores the same
Answer:
15 shirts
Step-by-step explanation:
Store A charges 12.50 for a custom shirt with 0.40 per each custom character. Store B charges 14.75 for the same shirt but charges 0.25 per each custom character would make the cost from both stores the same
A: 12.5 + 0.40x
B: 14.75 + 0.25x
12.5 + 0.40x = 14.75 + 0.25x
subtract 12.5 from both sides:
12.5 + 0.40x - 12.5 = 14.75 + 0.25x - 12.5
0.40x = 2.25 + 0.25x
subtract 0.25x from both sides:
0.40x - 0.25x = 2.25 + 0.25x - 0.25x
0.15x = 2.25
divide both sides by 0.15:
0.15x/0.15 = 2.25/0.15
x = 15
Mega Movers charges $19.50 per day for truck rentals, plus an additional mileage fee of $0.95 per mile. U-Move-It charges $42.00 per day for truck rentals, plus an additional mileage fee of $0.45 per mile for mileage over 20 miles. Which of the following systems of equations could be used to find the total mileage, m, that will make the cost, p, of renting a moving truck for one day equal at each rental company, assuming m≥20, is greater than or equal to, 20?
The equation used to find the total mileage, m, that will make the cost, p, of renting a moving truck for one day equal at each rental company is 45 miles
EquationTotal mileage = mCost = pMega movers:
Fixed cost per day = $19.50
Additional cost per mileage = $0.95
p = 19.50 + 0.95m
U-move:
Fixed cost per day = $42.00
Additional cost per mileage =$0.45
p = 42.00 + 0.45m
Equate the cost of both company19.50 + 0.95m = 42.00 + 0.45m
0.95m - 0.45m = 42.00 - 19.50
0.50m = 22.50
m = 22.50 / 0.50
m = 45 miles
Learn more about equation:
https://brainly.com/question/2972832
#SPJ1
BEGETA777777777777777777777777777777777777777777
Answer:
yes
Step-by-step explanation:
I need some help by today or tomorrow how can I express the ratio of 500 miles to 50 gallons of gas as a unit rate?
Answer:
More than happy to help with your homework:
500 miles = 50 gallons
(Divide both sides of the EQ by 50)
10 miles = 1 gallon
(Divide both sides by gallon)
10 miles per gallon
who know how to do composition of transformation rigid motion
Translation: A composition of reflections over two parallel lines is equivalent to a translation
Rotation: The composition of reflections over two intersecting lines is equivalent to a rotation.
Reflection : it is a transformation which produces a mirror image of an object. The mirror image can be either about x-axis or y-axis : The coordinates of reflection over y axis are (x,y) = (-x,y)
In the given graph the image are not the reflected image
The coordinaetes of (-3,2) becomes (8,2)
Thus they are rotate
Answer : Rotation
Find the magnitude and direction of the vector using the given information. V=<6,7>
Answer:
The magnitude of the vector is 9.165 and it's direction is 40.6°
Step-by-step explanation:
Vector Quantities:A vector quantity is a quantity that has both size (magnitude) and direction. Examples of vector quantities are force, velocity and impulse.
Magnitude of vector v is given by
|v| = √6²+7²
= √36+49
= √84
= 9.165
Direction of vector v is obtained by:
\( \tan( \theta) = \frac{x}{y} \)
\(\theta = {tan}^{ - 1} ( \frac{6}{7}) \)
\(\theta = {40.6°}\)
Learn more about vector quantities from: https://brainly.in/question/3437975
#SPJ1
Question: 18 of 19
Lesson 18
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle 0 = 50°
Choice 'A' OV
Choice 'B'O V
Choice 'C'OV
Choice 'D' OV
(38.3, 32.1)
(33.8, 31.2)
(32.1, 38.3)
(31.2, 33.8)
4
The component form of the following vectors is Option A. V = (38.3, 32.1).
To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.
The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.
In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.
The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).
Let's calculate the components:
x = 50 * cos(50°) ≈ 38.3
y = 50 * sin(50°) ≈ 32.1
Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).
Therefore, the correct answer is A. V = (38.3, 32.1).
Know more about the vectors here:
https://brainly.com/question/30854499
#SPJ8
The question is incomplete. Find the full content below:
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle θ = 50°
A. V = (38.3, 32.1)
B. V = (33.8, 31.2)
C. V = (32.1, 38.3)
D. V = (31.2, 33.8)
What is the slope of the line that passes through the points (-4, 8) and (-14, 8) ? Write your answer in simplest form.
Answer:
the slope is 0
Step-by-step explanation:
Answer:slope, m=0
Step-by-step explanation:
using the slope formula m=y2-y1/x2-x1
m=8-8/-14-4 = 0/-10
m=0
help me with this please
Answer:
i have no idea good luck i will try to get the answer for ya though
Step-by-step explanation:
.
The diameter of a quarter is about 1 in.
You trace around the edge of the quarter on a sheet of paper.
What is the area of the circle on the paper?
Use 3.14 as an approximation for π. Round your answer to the nearest tenth.
Answer: The area is going to be 0.8
Step-by-step explanation: The diameter is 1
You need the radius of the circle which is half the diameter. So the Radius(R) is 0.5.
After you find the radius of the circle to find the area of the circle you use the formula pie (R)^2. You are using 3.14
3.14(0.5)^2= 0.785
you then want to round your answer to the nearest tenth so the 8 turns the 7 into an 8.
So, the Area is 0.785 but after rounding it is 0.8.
Hope that helped :)
In the incidence matrix for this figure, what would be the element in row 1 column 5?
In the incidence matrix, the element in row 1 column 5 is determined as 1.
What is the element in row 1 and column 5?The element in row 1 column 5 is calculated as follows;
In an incidence matrix, the rows represent the vertices of the graph, and the columns represent the edges.
Since vertex 1 and vertex 5 are adjacent to each other, the value of the element in row 1 column 5 will be 1, indicating that there is a connection between vertex 1 and vertex 5.
Had it been they are not adjacent, the element would have been 0. Since there will be no connection between them in the polygon.
Learn more about incidence matrix here: brainly.com/question/28071961
#SPJ1
Grandparents want to make a gift of $100,000 for their grandchild’s 20th birthday. How much would have to be invested on the day of their grandchild’s birth if their investment could earn: (a) 10.5% compounded continuously? (b) 11% compounded continuously? (c) Describe the effect that this slight change in the interest rate makes over the 20 years of this investment
Answer:
20
Step-by-step explanation:
20 yenara they hain aahe aahe
my answer is 20 i guess........
Carlos found 6 pounds of gold coins! He divided the coins into pound bags. How many bags of coins does he have?
Answer:
6
Step-by-step explanation:
6/1=6
In the right △ABC with m∠C=90°, m∠B=75°, and AB=12 cm. Find the area of △ABC.
Don't use trig to solve, don't know how to.
The area of the right triangle is 18.02 cm².
How to find area of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees.
The sum of angles in a triangle is 180 degrees.
Therefore, let's find the area of the right angle triangle as follows;
let's find the height and base of the triangle.
using trigonometric ratios,
cos 75 = adjacent / hypotenuse
cos 75 = base / 12
base = 3.10582854123
Therefore,
sin 75 = opposite / hypotenuse
sin 75 = h / 12
height = 11.5911099155
height = 11.59
Therefore,
area of the triangle = 1 / 2 × 3.11 × 11.59
area of the triangle = 36.0483518371 / 2
area of the triangle = 18.0241759186
area of the triangle = 18.02 cm²
learn more on area here: brainly.com/question/22965641
#SPJ1
Verify that each equation is an identity.
Show Work plzz!!
Answer:
Step-by-step explanation:
( a + b )( a - b ) = a² - b²
( 1 + sin x )( 1 - sin x ) = 1² - sin² x = cos² x
what is -57.17 as a mixed number
The value of 57.17 as a mixed number is - 57 17/100.
In simple terms, what is a mixed number?A mixed number is said to be in its simplest form if its fractional part's highest common factor, or HCF, is 1. When mixed numbers are simplified, the fraction value remains constant. We can say that the simplified mixed number and the actual mixed number are fractions that are equivalent.
A mixed number is made up of three components: a whole number, a numerator, and a denominator. The numerator and denominator are both components of the proper fraction that results in the mixed number.
In this case, -57.17 will be:
= -57 + (17/100)
= -57 17/100.
Learn more about mixed number on:
https://brainly.com/question/414559
#SPJ1