Answer:
18. The end behavior of the graph of f(x) = x³ + 2x² - 5x + 1 is as follows: as x approaches negative infinity, the function f(x) approaches negative infinity, and as x approaches positive infinity, the function f(x) approaches positive infinity. This is because the leading term of the polynomial is x³, which has a positive coefficient, so the graph of the function will have a "smile" shape, with the ends of the graph pointing upwards.
19. The end behavior of the graph of g(x) = -2x³ - 8x² + 18x + 72 is as follows: as x approaches negative infinity, the function g(x) approaches negative infinity, and as x approaches positive infinity, the function g(x) approaches negative infinity. This is because the leading term of the polynomial is -2x³, which has a negative coefficient, so the graph of the function will have a "frown" shape, with the ends of the graph pointing downwards.
Step-by-step explanation:
Please anwser this is all the points I have :)
Check the picture below.
so let's recall that the area of a circle is just πr² where r = radius, so since the sizes of each pizza are 10, 14, 18 and 22, that's simply their diameter, so that means they each have a radius half of that, or namely 5, 7, 9 and 11, as you see in the picture, so, hmmm which radius gives us the most area per the fraction provided, namely per slices provided?
[tex]\cfrac{4}{8}\pi 5^2\implies \cfrac{25\pi }{2} ~~ \approx ~~ 39.26~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{8}\pi 7^2\implies \cfrac{147\pi }{8} ~~ \approx ~~ 57.73~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{8}\pi 9^2\implies \cfrac{81\pi }{4}~~ \approx ~~ 63.62~in^2 ~~ \textit{\LARGE \checkmark} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}\pi 11^2\implies \cfrac{121\pi }{8}~~ \approx ~~ 47.52~in^2[/tex]
Answer: Large
Step-by-step explanation: Hope it helps Good luck!!!
List at least five combinations of nickels and dimes such that the total value of the coins is 80 cents.
Here are five combinations of nickels and dimes that add up to 80 cents:
4 dimes and 4 nickels
3 dimes and 7 nickels
2 dimes and 12 nickels
1 dime and 16 nickels
8 dimes and 4 nickels
The volume and radius of a cylinder are given below.
V=157.08 ft.³
r = 5 ft.
What is the area of the base of the cylinder?Use the approximation π 3.1416 or the calculator in your calculations. Round your answer to the nearest hundredth.
What is the height of the cylinder?
Round your answer to the nearest hundredth.
The area of the base of the cylinder is 78.54 ft² and height of the cylinder is 6.31 ft.
To find the area of the base of the cylinder, we can use the formula:
A = πr²
Substituting the given value of radius, we get:
A = π(5 ft)²
A = 78.54 ft²
Therefore, the area of the base of the cylinder is 78.54 ft².
b. To find the height of the cylinder, we can use the formula for the volume of a cylinder:
V = πr²h
Substituting the given values of volume and radius, we get:
157.08 ft³ = π(5 ft)²h
Simplifying, we get:
h = 157.08 ft³ / (π(5 ft)²)
h = 6.31 ft
Therefore, the height of the cylinder is approximately 6.31 ft.
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a certain forest covers an area of 1700km^(2). Suppose that each year this area descreases by 7.5%. What will the area be after 11 years?
round your answer to the nearest square kilometer.
The area of the forest after 11 years will be 298 km².
To calculate the area of the forest after 11 years, we need to decrease the initial area of 1700 km² by 7.5% each year for 11 years.
First, let's calculate the decrease in area for one year:
Decrease in area for one year = 7.5% of 1700 km²
7.5% of 1700 km² = (7.5/100) × 1700 km²
= 127.5 km²
Now, we can calculate the total decrease in area over 11 years:
Total decrease in area over 11 years = 11 × 127.5 km² = 1402.5 km²
Finally, we can subtract the total decrease in area from the initial area to get the area of the forest after 11 years;
Area of the forest after 11 years = Initial area - Total decrease in area
= 1700 km² - 1402.5 km²
= 297.5 km²
Therefore, Rounding to the nearest square kilometer, the area of the forest after 11 years will be approximately 298 km².
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In this circle, mQR = 72°.
What is m/QPR?
A. 18°
B. 24°
C 36°
D. 72°
Please show work or give an explanation please
Answer:
< QPR = 36
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
< QPR = 1/2 ( 72)
< QPR = 36
PLEASE HELP ASAP WILL GOVE BRAINLIEST NEED THIS AWNSERED IN 15 MINUTES
The segment lengths on the right triangle are given as follows:
JL = 13.[tex]KL = 13\sqrt{3}[/tex]What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:
Sine of angle = length of opposite side to the angle divided by the length of the hypotenuse.Cosine of angle = length of adjacent side to the angle divided by the length of the hypotenuse.Tangent of angle = length of opposite side to the angle divided by the length of the adjacent side to the angle.The sum of the internal angle measures of a triangle is of 180º, hence the missing angle is given as follows:
m < L = 180 - (30 + 60)
m < L = 90º.
Hence the segment JL represents the hypotenuse of the figure.
JL is opposite to the angle K, hence it's length is obtained as follows:
sin(30º) = JL/26
1/2 = JL/26
2JL = 26
JL = 13.
Segment KL is adjacent to the angle of 30º, hence it's length is obtained as follows:
cos(30º) = KL/26
[tex]\frac{\sqrt{3}}{2} = \frac{KL}{26}[/tex]
[tex]2KL = 26\sqrt{3}[/tex]
[tex]KL = 13\sqrt{3}[/tex]
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Consider the sequence {3, 12, 21, 30, 39, 48, 57} What is a5
The value of the term a5 is 39
Calculating the value of a5From the question, we have the following parameters that can be used in our computation:
{3, 12, 21, 30, 39, 48, 57}
The expression a5 means the 5th term of the sequence
In {3, 12, 21, 30, 39, 48, 57} , the fifth eterm is 39
Hence, a5 = 39
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Mrs. Myles gave the same test to both her first and third period class. In first period, the median was 75 and the range was 30. In third period, the median was 80 and the range was 60. Which is a true statement? [Assume that scores can reach a maximum of 100.]
A The lowest score was in third period.The lowest score was in third period. - no response given
B On average, first period did better than third period.On average, first period did better than third period. - no response given
C The highest score was in first period.The highest score was in first period. - no response given
D There is not enough information to know if any of these is true.
Answer:
D There is not enough information to know if any of these is true.
Based purely on the facts provided, we cannot draw any judgements regarding the relative performance of the two classes. The range and median are important indices of central tendency and dispersion, but they do not offer an accurate picture of the score distribution. We don't know the distribution's form, the number of students in each class, or each student's exact score. As a result, we can't tell whether class received the lowest or highest score, or whether one class performed better overall than the other.
A single die is rolled twice. The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6),}. Find the probability of getting two numbers whose sum is greater than 9. Group of answer choices
The probability of getting two numbers whose sum is greater than 9 = 5/36
We know that the probability is nothing but the number of favourable outcomes divided by the total number of outcomes.
Here, a single die is rolled twice.
and we get the set of 36 equally likely outcomes.
so, the total number of outcomes n(S) = 36
Let us assume that event A: getting two numbers whose sum is greater than 9
A = {(4, 6), (5,5), (5, 6), (6, 4), (6, 5)}
n(A) = 5
Using above formula of probability,
P(A) = n(A)/n(S)
P(A) = 5/36
Thus the required probability = 5/36
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How many 1/4 cups of water fit inside of a 2 1/2 cup water bottle?
Answer:
There are 10 1/4 cups of water that fit inside a 2 1/2 cup water bottle.
To see why, note that 2 1/2 cups is equivalent to 10 quarter cups (2 x 4 = 8 and 8 + 2 = 10). Therefore, you can fill the water bottle with 10 1/4 cups of water.
If two angles are complementary then the sum of their measures is _______.
(Answer with a number ONLY)
If the two angles are complementary, then their sum is 90 degrees.
The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
If the two angles are complementary, then their sum is 90 degrees.
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A jet can fly (8 x 10^3) miles per hour. How far can it fly in a day?
The jet can fly a distance of 192,000 miles in a day, assuming it can maintain a speed of 8 x 10³ miles per hour for 24 hours.
There are 24 hours in a day, so the distance the jet can fly in a day is:
Distance = Speed x Time
where Time is the duration of the flight.
If we assume that the jet can fly continuously for 24 hours without refueling or stopping, then the time of the flight is 24 hours.
Therefore, we have:
Distance = Speed x Time
=8 x 10³ miles/hour x (24 hours)
= 192,000 miles
Therefore, the jet can fly a distance of 192,000 miles in a day, assuming it can maintain a speed of 8 x 10³ miles per hour for 24 hours.
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Tomas used 3 [tex]\frac{1}{2}[/tex] of flour and now has 1 and two-thirds cups left. Which equation can he use to find f, the number of cups of flour he had to begin with?
f + 3 and one-third = 1 and two-thirds
f minus 3 and one-third = 1 and two-thirds
3 and one-third f = 1 and two-thirds
f divided by 3 and one-third = 1 and two-thirds
Answer:
B
Step-by-step explanation:
Answer:
I think It's b or a
Step-by-step explanation:
did this like 4 weeks ago.
Olympic size swimming pools are 50 meters long and 25 meters wide with a minimum depth of 2 meters. If the swimming pool is a rectangular prism and water weighs 1000 kilograms per cubic meter, what is the weight of the water in the smallest possible full Olympic size pool in kilograms?
Answer:
660,430 gallons AKA 2499.9995045071 kilograms
you would proably round it to 2500 kilograms
Step-by-step explanation:
looked it up, had the same measurements as you gave
The outcome of spinning 2 spinners 100 times is shown in the table. How many times would you expect these spinners to land on the same number in 10 spins?
We would expect the spinners to land on the same number approximately 2 times in 10 spins.
Based on the given probabilities, we know that the probability of the red spinner and blue spinner landing on the same number is 21%, and the probability of them landing on different numbers is 79%. We can use this information to calculate the expected number of times the spinners would land on the same number in 10 spins.
If we assume that the probability of the spinners landing on the same number is constant across all 10 spins, then we can model the number of times they land on the same number as a binomial distribution with n=10 (number of trials) and p=0.21 (probability of success).
Using the formula for expected value of a binomial distribution, we can calculate the expected number of times the spinners would land on the same number in 10 spins as:
E(X) = np = 100.21 = 2.1
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Complete question is:
The outcome of spinning 2 spinners 100 times is shown as.
Events Actual outcomes Probability
P(red spinner = blue spinner) 21 21%
P(not red spinner = blue spinner) 79 79%
How many times would you expect these spinners to land on the same number in 10 spins?
Scientists are studying the population of a rare species of primates, known as a Javan gibbons, on the Raja Ampat Islands
in Indonesia. They are studying the gibbons on three different islands, Batanta, Misool, and Salawati. The scientists studied
the population growth and recorded the data in the table.
2. What type of function is M(x)? Justify your answer and show calculations to support your conclusion.
The data presented shows the growth of the Javanese gibbon population on three different islands over time.
What informs the data?Data trends must be analyzed to determine the type of function that is modeling population growth. A common way to do this is to plot the data points and observe the shape of the curve. However, since the table only contains data, you can analyze trends by looking at the differences between consecutive terms.
To do this, we can calculate the first difference and the second difference in the population data.
The first difference:
- Swing: 40 - 30 = 10, 50 - 40 = 10, 60 - 50 = 10
Example: 60 - 50 = 10, 75 - 60 = 15, 90 - 75 = 15
- Salavati: 80 - 60 = 20, 100 - 80 = 20, 120 - 100 = 20
The second difference:
- Batanta: 10 - 10 = 0, 10 - 10 = 0
- Example: 15 - 10 = 5, 15 - 15 = 0
- Salavati: 20 - 20 = 0, 20 - 20 = 0
The first difference is constant for each island and shows a linear relationship between time and population growth. Also, the second difference is zero, indicating a constant rate of change.
Therefore, we can conclude that the population growth modeling function is a linear function that can be written as
M(x) = mx + b
where x is the time in years, m is the slope (population growth rate), and b is the y-intercept (initial population).
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use your knowledge of transformations to find matching graph f (x) = ½ √x - 1
Answer:
Step-by-step explanation:
down 1
compress 1/2
What is the probability that
both events will occur?
Two dice are tossed.
Event A: The first die is a 3 or 4
Event B: The second die is a 1
P(A and B) = P(A) • P(B)
P(A and B) = [?]
Enter as a decimal rounded to the nearest hundredth.
The probability that both events occur is 0.06.
What is the probability of both events?The probability that both events occur is calculated as follows;
P(A and B) = P(A) x P(B)
The probability of event A is;
P(A) = number of outcomes / total number of outcomes
P(A) = 2/6
P(A) = 1/3
The probability of event B is;
P(B) = number of outcomes / total number of outcomes
P(B) = 1/6
The probability of both events is;
P(A and B) = P(A) x P(B)
P(A and B) = (1/3) x (1/6)
P(A and B) = 1/18 = 0.06
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ASAP!!!
Arthur cuts a 24° slice from a pizza 22 inches in diameter. Find the length of AB.
(See attached photo)
The length of AB is 4.6 inches.
What is the length of an arc?An arc is a part of a circle i.e. an incomplete circle. It can be either a major arc or a minor arc of a given circle.
The length of an arc can be determined by;
length of an arc = (θ/ 360)*2πr
Where r is the radius of the circle, and θ is the measure of its central angle.
In the given diagram, the arc AB is a minor arc. So that;
AB = (θ/ 360)*2πr
r = d/2
= 22/2
r = 11 inches
AB = (24/ 360)*2*3.14*11
= 4.6053
AB = 4.6 inches
The length of arc AB is 4.6 inches.
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the french club is holding a car wash fundraiser. They are going to charge $20 per car, and expect between 30 and 100 cars. Identify the independent and dependent quality in the situation, and find reasonable domain and range values
Correct option is,
A: number of cars; money raised; 30 to 100 cars; $600 to $2000 is the right option.
Since, An independent variable is a variable that represents a quantity that is being controlled in an experiment.
A dependent variable represents a quantity whose value depends on how the independent variable is controlled.
Now, In the given question;
The number of cars represents the independent variable while money raised represents independent variable .
Domain is the set of values the independent variable can take .
The number of cars 30 to 100 represents the Domain.
The range is corresponding y values .
The charge per car is $20.
Hence, Range = 30 x 20
=600
to Range = 100 x 20
= 2000.
Thus, Correct option is,
A: number of cars; money raised; 30 to 100 cars; $600 to $2000 is the right option.
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Complete question is,
The French club is holding a car wash fundraiser. They are going to charge $20 per car, and expect between 30 and 100 cars. Identify the independent and dependent quantity in the situation, and find reasonable domain and range values.
A: number of cars; money raised; 30 to 100 cars; $600 to $2000
B: money raised; number of cars; 30 to 100 cars; $600 to $2000
C: number of cars; money raised; $600 to $2000; 30 to 100 cars
D: money raised; number of cars; $600 to $2000; 30 to 100 cars
1. Dave plays golf almost every day. The data set shown are his scores for his last 40 rounds of golf.
a. Construct a tally and frequency table for this data using class intervals 70-74, 75-79, 80-84, 85 - 89.
b. What percentage of Dave's scores were more than 84?
c. What percentage of Dave's scores were less than 75?
d. Copy and complete the following: More scores were in the interval..............than in any other interval.
More scores were in the interval 75-79 than any other interval
How to solvea. Class Interval Frequency
70-74 8
75-79 16
80-84 12
85-89 4
b. The % more than 84 = 4/40 x 100
=10%/
c. The % less than 75 = 8/40 x 100
= 20%
d. More scores were in the interval 75-79 than any other interval
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Which number line shows a graph of the inequality x < 6
The number line that shows the inequality x < 6 is given by the following option:
Option D.
What are the inequality symbols?The four inequality symbols, along with their meaning on the number line and the coordinate plane, are presented as follows:
> x: the amount is greater than x -> the number is to the right of x with an open dot at the number line. -> points above the dashed horizontal line y = x on the coordinate plane.< x: the amount is less than x. -> the number is to the left of x with an open dot at the number line. -> points below the dashed horizontal line y = x on the coordinate plane.≥ x: the amount is at least x. -> the number is to the right of x with a closed dot at the number line. -> points above the solid vertical line y = x on the coordinate plane.≤ the amount is at most x. -> the number is to the left of x with a closed dot at the number line. -> points above the dashed vertical line y = x on the coordinate plane.The inequality for this problem is given as follows:
x < 6.
Which is composed by the numbers to the left of x = 6, with an open circle, due to the open interval.
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A is a segment whose endpoints are the center of a circle and a point on the circle.
Diameter is the segment whose end points are on the circle and passing through the center of the circle.
Given a statement.
We have to find the term defined for the statement.
Given a circle.
The end points of the circle are on the circle.
Any line segment whose end points are on the circle is defined as the chord.
If a chord passes through the center of the circle, then it is called the diameter.
Hence the correct term is diameter.
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Your question is incomplete. The complete question must be probably the on as given below.
Identify the term.
A _____ is a segment whose end points are on the circle and passing through the center of the circle.
How many permutations do I have it I select 4 things from a total of 9 with replacement? (9P4)
There are 3024 possible arrangements of 4 items selected from a total of 9 with replacement.
It is required to find the number of permutations when 4 things are selected from a total of 9 with replacement.
Use the formula for permutations with replacement, which is:
= [tex]^np_r[/tex]
Here n is the total number of items and r is the number of selections.
As per the question, n = 9 and r = 4.
So, the number of permutations is:
= ⁹p₄
= 9!/5!
= 9 x 8 x 7 x 6
= 3024
Thus, there are 3024 possible arrangements of 4 items selected from a total of 9 with replacement.
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i need help please help its easy
The solutions for the inequality, in order from smallest to largest, are:
-7, -4, -2, 0, 0.9, 0.99, 0.999, 1
Which values make the inequality true?Here we have the inequality:
y ≤ 1
All the values that make the inequality true are the values equal or smaller than 1.
So we just need to list these in order from smaller to larger.
The correct order will be:
-7, -4, -2, 0, 0.9, 0.99, 0.999, 1
These are the solutions in order.
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at irvs cycle rental shop irv rents all kinds of cycles: unicycles, tandem bikes, regular bikes, and even tricycles for little kids. he parks all the cycles in front of his shop with a helmet for each rider strapped to the cycles. this morning irv counted 57 helmets and 115 wheels parked in front of his store. he knows he had an equal number of unicycles and tandem bikes. he also knows that he has 32 regular bikes. how many unicycles, tandem bikes, and tricycles does irv have
The number of unicycles, tandem bikes, and tricycles that IRVS Cycle Rental has are:
unicycles - 8 tandem bikes - 8 tricycles - 9 How to find the items the shop has ?The relevant equations, ( assuming that unicycles as U, tandem bikes as T, and tricycles as R ) are:
U + T + 32 + R = 57
U + 2T + 2 x 32 + 3R = 115
U = T
Using substitution, we get:
U + 2T + 64 + 3R = 115
U + 2T + 3R = 51
U + 2U + 3R = 51
3U + 3R = 51
Solving gives:
2U + R = 25
U + R = 17
U = 8
Solving for R, we have :
8 + R = 17
R = 17 - 8
R = 9
U and T are the same so T is 8 as well.
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Solve for radius and diameter then what is the area C=226.08in
The radius of the circle is 35.98 in, the diameter is 71.96 in. and the area of the circle is 4066.98 sq. in.
Here, the circumference of circle is C=226.08 in
We know that the formula for the circumference of circle is C = 2πr
Using this formula we find the value of radius 'r',
C = 2πr
226.08 = 2πr
r = 226.08 / 2π
r = 35.98 in
And the diameter of the circle would be,
d = 2r
d = 2 × 35.98
d = 71.96 in.
And the area of the circle would be,
A = π × r²
A = π × 35.98²
A = 4066.98 sq. in.
Therefore, the required area is 4066.98 sq. in.
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The complete question is:
Solve for radius and diameter then what is the area of the circle if the circumference of circle is C=226.08 in.
Let p be the constant function p (z) = 1,000,000,000. Let q be the exponential function q (2) = 10
The product of the two functions is (pq) (z) = 10ª-2, where a is a constant. What is the value of a?
C2023 Illuminate Education, Inc.
P
C
[tex]\large \boxed{\mathrm{10}}[/tex]
The constant function p has a fixed output of one billion, while the exponential function q has a base of two and an output of 10. As the input increases by one, the output of q doubles. For example, q(3) = 20 and q(4) = 40. The rate of growth of q is much faster than p. In fact, q will eventually surpass p for large enough inputs. This demonstrates the power of exponential growth and highlights the importance of understanding the functions used in equations and models.
Answer:
10 or 1b
Step-by-step explanation:
What the answer for radius huryyyyyyyyyy pleaseeee
Answer: 12.6
Step-by-step explanation:
150/360*2*pi*r=10.
divide to get r alone
A particular movie theater charges $7.00 per adult and $2.50 per child. If 600 people attended a movie and the total revenue from ticket sales was, which of the following models the given information if x represents the number of adults and y represents the number of children?
Answer:
Step-by-step explanation:
7x+2.50y=600
