Daniel is setting up rows for a concert. He decides to put 9 chairs in each row. There are 45 chairs. Let x represent the number of rows of chairs. Which equation can be used to find the number of rows of chairs Daniel needs to set up?
K(x)=10x+5 inverse function
The inverse of the function is k(x) = [tex] \frac{x - 5}{10} [/tex]
You can find the inverse of any function by switching the k(x) value and the x value. After that, solve for the new k(x). The result will be your inverse function. The step-by-step process is below.
k(x) = 10x + 5 ----> Switch the x and k(x)
x = 10k(x) + 5 ----> Subtract 5 from both sides
x - 5 = 10k(x) ----> Divide both sides by 10.
[tex] \frac{x - 5}{10} [/tex] = k(x) ----> Now switch the order for formatting
k(x) = [tex] \frac{x - 5}{10} [/tex]
And this is your new inverse function.
A town has a population of 13000 and grows at 4.5% every year. What will be the population after 13 years, to the nearest whole number?
Answer:
population after 13 years is around 23,039
Step-by-step explanation:
A town has a population of 13000 and grows at 4.5% every year.
Population growth is given by [tex]y=a(1+r)^t[/tex]
y is the population after t years
'a' is the initial population= 13000
'r' is the rate of growth=4.5%= 0.045
t is the number of years=13
[tex]y=a(1+r)^t[/tex]
[tex]y=13000(1+0.045)^13[/tex]
y=23,038.54
Simplify the function f(x)= 1/2 (27) 2x/3. Then determine the key aspects of the function
Answer:
The last one is y>0
I have a question about the application of definite integrals. I came up with the following integral:
[tex] \int\limits^5_0 {62.5 * 6 * 2 * x} \, dx [/tex]
This is equal to 9780. Unfortunately, 9780 ft-lb is not an answer, but 9375.0 ft-lb is! Can someone tell me what is wrong with my integral and if 9375.0 ft-lb is the answer to my question?
A lion’s heart beats 12 times in 16 seconds.how many heartbeats will it have in 60 seconds?
will give brainiest if correct
A. 69.1
B. 20.9
C. 22.4
D. 67.6
simplify 15r+7r+9r-7s
If area of a circle measures 16/25 pi cm square, what is the circumference of the circle in terms of pi
F(x)=5x^3-2x^2-3x Polynomial factoring
How do you simplify # (x+3)/(x^2+7x+12)#?
The product of some negative number and 10 less than three times that number is 25. find the number.
Martha states that –6 is a rational number. Which is a correct explanation for this statement?
The number –6 is the opposite of 6.
The number –6 is a negative integer.
The number –6 can be written as -6/1
The number –6 is less than 0.
Martha's statement saying - 6 is a rational number is correct as - 6 can be written as - 6/1.
What are rational numbers?Rational numbers consist of fractions and integers.
Any rational number can be written in the form of p/q, where q ≠ 0.
Any integer can be written in the form of a rational number p/q, where q ≠ 0 and q = 1.
Given, Martha states that - 6 is a rational number.
First, it is a negative integer but it can be written in the form - 6/1 as - 6/1 is equal to 6.
learn more about rational numbers here :
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Martha is correct in stating that -6 is a rational number because it can be written as -6/1.
Explanation:Martha is correct in stating that -6 is a rational number because it can be written as -6/1. A rational number is any number that can be expressed as a fraction, where both the numerator and denominator are integers. In this case, -6 can be written as the fraction -6/1.
What is the probability of drawing five face cards?
Maria is traveling for business. She starts by traveling from Mexico City to Singapore which is about 1.26 x 104 miles. She then travels from Singapore to New York which is approximately 9.53 x 103 miles. What is the total distance that Maria traveled?
Answer:
D
2.213 x 10^4 miles
Step-by-step explanation:
Took the test
please help asap 50 pts
The vertex is always the lowest or highest point:
When a parabola looks like a smiley face, it has a minimum (like this one).
When a parabola looks like a frowning face, it has a maximum.
The coordinate for the vertex is (-2, -3).
So, your answer is C.
A number cube numbered from 1 to 6 is rolled. what is the probability of the number cube showing a 5 or an even number?
A coin is unbalanced such that it comes up tails 55% of the time.
a.what is the probability that you don't flip a head until the fourth flip?
b.what is the probability that you don't flip a tail until the fourth flip?
c.how many tosses would it take, on average, to flip a head?
d.how many tosses would it take, on average, to flip a tail?
What is the value of x?
28
47
56
33
Answer:
47
Step-by-step explanation:
The measure of a squares side is 1.2 feet. What is the perimeter of the square in inches?
A climber is standing at the top of Mount Kazbek, approximately 3.1 miles above sea level. The radius of the Earth is 3959 miles. What is the climber's distance to the horizon?
The radius of the earth = OC = OB = 3959 miles
Peak of the Mount Kazbek = A = 3.1 miles
OA = OC + CA
OA = 3959 + 3.1 = 3962.1 miles
As OBA is a right triangle,
[tex] OA^{2} [/tex] = [tex] OB^{2} [/tex] + [tex] AB^{2} [/tex]
[tex] 3962.1^{2} [/tex] = [tex] 3959^{2} [/tex] + [tex] AB^{2} [/tex]
15698236.41 = 15673681 + [tex] AB^{2} [/tex]
[tex] AB^{2} [/tex] = 15698236.41 - 15673681
[tex] AB^{2} [/tex] =24555.41
AB = 156.701659
climber's distance to the horizon is 156.7 miles
The Bright Star Video Club offers the two membership plans described below.
Plan A: $50 yearly membership fee and $2 for each video rental
Plan B: $10 yearly membership fee and $4 for each video rental
Greg is planning to enroll in one of these plans. For how many video rentals would the total cost of Plan A be equal to the total cost of Plan B?
A. 50
B. 20
C. 30
D. 40
Graph y ≥ (x + 2)2 Click on the graph until the correct graph appears.
The graph shows a parabola with a solid line and shading above or on the curve to represent the inequality [tex]y\geq (x+2)^{2}[/tex] This graph visually illustrates the solution set for the given inequality.
To graph the inequality [tex]y\geq (x+2)^{2}[/tex] we first need to plot the parabola [tex]y=(x+2)^{2}[/tex] with a solid line. The vertex of the parabola is at [tex](-2,0)[/tex] and it opens upwards.
Next, we shade all the regions above or on the parabola to represent the inequality [tex]y\geq (x+2)^{2}[/tex] Since the inequality includes "or equal to" [tex](\geq )[/tex] we use a solid line for the graph of the parabola.
By following these steps, we create a graph where the area above or on the parabola is shaded, indicating the solutions to the inequality [tex]y\geq (x+2)^{2}[/tex] his shading represents all the points.
where the y-values are greater than or equal to the corresponding y-values on the parabola. The solid line ensures that points on the parabola itself are included in the solution set.
In summary, the graph shows a parabola with a solid line and shading above or on the curve to represent the inequality [tex]y \geq (x+2)^{2}[/tex] This graph visually illustrates the solution set for the given inequality.
An alloy of copper is 10% copper and weighs 25 pounds. A second alloy is 18% copper. How much (to the nearest lb.) of the second alloy must be added to the first alloy to get a 13% mixture.
A florist earns a profit of $2.00 on each bunch of carnations, $3.00 on each bunch of lilies and $1.00 on a bunch of roses. On a particular day, she sold 46 bunches of flowers and made a profit of $82.00. She sold twice as many bunches of roses as bunches of lilies.
a bag contains 7 red marbles 6 green marbles 5 yellow marbles and 2 orange. marbles are drawn twice with a replacement. what is p {yellow and green?
a coin is tossed and a number cube is rolled. what is p{h, then prime number?
letter tiles that spell the word happiness are replaced in a bag. a tile is drawn and then a second tile is drawn. find p then vowel p?
Question 1:
We have been given that a bag contains 7 red marbles, 6 green marbles, 5 yellow marbles, and 2 orange. Further we are given that marbles are drawn twice with a replacement. We need to figure out the probability P(Yellow and Green).
Basically, we need to determine the probability that first marble drawn is yellow and second marble drawn is green.
Probability of first marble drawn being yellow is [tex]\frac{5}{20}=\frac{1}{4}[/tex] and probability of second marble drawn being green is [tex]\frac{6}{20}=\frac{3}{10}[/tex].
Therefore, the probability P(Yellow and Green) = [tex]\frac{1}{4}\cdot \frac{3}{10}=\frac{3}{40}[/tex].
Question 2:
We have been given that a coin is tossed and a number cube is rolled and we need to find the probability P(H, prime number).
Probability of getting head on the coin is [tex]\frac{1}{2}[/tex].
Probability of getting a prime number on the cube is [tex]\frac{3}{6}=\frac{1}{2}[/tex].
Therefore, probability P(H, prime number) = [tex]\frac{1}{2} \cdot \frac{1}{2}=\frac{1}{4}[/tex]
The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square kilometers, find the dimensions of the rectangle.
Which of the following sets of possible side lengths forms a right triangle? 12, 35, and 38 11, 60, and 61 9, 40, and 45 6, 12, and 13
Answer:
11,60, and 61
Step-by-step explanation:
You choose a marble at random from a bag containing 8 brown marbles 6 yellow marbles and one purple marble. You replace the marble and then choose again.find p (both yellow)
Megan consumed 3.5 gallons of water in one day. How many milliliters are equal to 3.5 gallons, if 1 liter equals 1,000 milliliters and 1 gallon = 3.785 liters?
Answer:
There are 13,247.5 ml in 3.5 gallon