Write numerals for each of the italicized number word names found in these examples. Earth’s moon is (a) two million, one hundred fifty-five thousand, one hundred twenty miles across. The closest distance between Earth and the moon is (b) two hundred twenty-five million, sixty thousand miles. The farthest distance between them is (c) two hundred fifty-one million, seven hundred twenty thousand miles.
Scientists were studying bears by catching, tagging, and releasing 24 bears. A month later, the scientists come back and catch 4 bears, of which 2 are tagged. Assuming that the catch is representative, how many bears are there?
Final answer:
The mark and recapture method is used to estimate the size of a population. In this case, 24 bears were initially tagged and 4 bears were recaptured, 2 of which were tagged. The estimated population size can be calculated using the mark and recapture formula as (24 * 4) / 2 = 48 bears.
Explanation:
The mark and recapture method is used to estimate the size of a population. By catching, tagging, and releasing a known number of individuals and then recapturing a second sample, scientists can calculate an estimate of the total population size. In this case, scientists initially tagged 24 bears and then recaptured 4 bears, 2 of which were tagged. Using the mark and recapture formula, the estimated population size can be calculated as follows:
Number of initial tagged individuals: 24
Total number of individuals in the second sample: 4
Number of tagged individuals recaptured in the second sample: 2
Estimated population size = (Number of initial tagged individuals * Total number of individuals in the second sample) / Number of tagged individuals recaptured in the second sample
Using this formula, the estimated population size of bears in this case would be (24 * 4) / 2 = 48 bears.
what is the sum of -11/4 + 2?
what is the value of x
if a new cd player in north Carolina costs 225 dollars and the sales tax is 4.75 percent how much will a customer save during a tax free holiday when tax does not need to be paid
please help!!!
1. Use the graph for Parts A–D.
A. Is the relation a function? Explain.
B. What is the domain of the relation?
C. What is the range of the relation?
D. What is the value of y when x = 2? Explain.
- The relation is not a function due to multiple y-values for the same x-value.
- Domain: {-4, -3, 2}
- Range: {0, 2, -3}
- Value of y when x = 2: -1
Let's analyze the graph and address each part:
A. Is the relation a function? Explain.
- A function is a relation where each input (x-value) corresponds to exactly one output (y-value).
- Looking at the graph, we see that there are two different y-values for x = -3: (x = -3, y = 2) and (x = -3, y = -3).
- Since there are multiple y-values for the same x-value, the relation is not a function.
B. **What is the domain of the relation?
- The domain consists of all the x-values represented in the graph.
- From the graph, we can identify the following x-values: -4, -3, 2.
- Therefore, the domain of the relation is {-4, -3, 2}.
C. What is the range of the relation?
- The range consists of all the y-values represented in the graph.
- From the graph, we can identify the following y-values: 0, 2, -3.
- Therefore, the range of the relation is {0, 2, -3}.
D. What is the value of y when x = 2? Explain.
- To find the value of y when x = 2, we look at the graph.
- At x = 2, the corresponding y-value is -1.
- Therefore, the value of y when x = 2 is -1.
A plumber charges a fee of $100 for the first hour and $50 for every hour thereafter. Write a linear model to represent the charges for any amount of hours.
3.75 student of 320 are absents find the number of student that are absent
evaluate 9/m +4 when m=3
Answer:
7
Step-by-step explanation:
Change the problem from 9/m + 4 to 9/3 + 4.
If you do 9 divided by 3, you get 3 so your problem is now 3 + 4.
3 + 4 = 7. Your answer is 7.
Hope that helps!
How many solutions does the equation have?
4(z−5)+2=4z−18
A biology class examined some flowers in a local meadow. Out of the 40 flowers they saw, 8 were perennials. What percentage of the flowers were perennials?
Write your answer using a percent sign (%).
A chef made 30 donuts in 60minutes how long would it take him to make 90donits
The time taken by the chef to make 90 donuts is 180 minutes or 3 hours
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total number of donuts made be = A
The number of donuts made initially = 30 donuts
The time taken by the chef to make 30 donuts = 60 minutes
So , the equation will be
The number of donuts = 90 donuts
The number of donuts = 3 x initial number of donuts
So , the time taken by the chef to make 90 donuts is =
3 x time taken by the chef to make 30 donuts
And , the equation is
The time taken by the chef to make 90 donuts = 3 x 60 minutes
The time taken by the chef to make 90 donuts = 180 minutes
Therefore , the time taken by the chef is 180 minutes or 3 hours
Hence ,
The time taken by the chef to make 90 donuts is 180 minutes or 3 hours
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Which statement is correct about relations and functions?
All relations are functions.
All functions are relations.
No relations are functions.
No functions are relations.
Answer:
All functions are relations.
Step-by-step explanation:
Camille subtracted 3,256 from 6,000 and got 9,256.
Which correctly explains the mistake that Camille made and gives the correct answer?
A.
Camille added instead of subtracting. The correct answer is 2,744.
B.
Camille added instead of subtracting. The correct answer is 3,256.
C.
Camille forgot to regroup. The correct answer is 3,256.
D.
Camille forgot to regroup. The correct answer is 3,854.
A seafood restaurant claims an increase of $1,750.00 over its average profit during a week where it introduced a special of baked clams
a. If this is true, how much extra profit did it receive per day?
b. if it had, instead, lost $150 per day, how much money would it have lost for the week?
c. If it's total loss was $490 for the week, what was its average daily change?
Please Help: If M angle 1 = 72 degrees and m angle JKL = 126 degrees.
Find the measure of Angle 2.
Nathaniel's sister has 5/6 as many songs on her MP3 player as he has on his MP3 player. His sister has 35 songs. How many songs does Nathaniel have?
Answer:
42 songs.
Step-by-step explanation:
Let x represent the number of songs Nathaniel's has.
We have been given that Nathaniel's sister has 5/6 as many songs on her MP3 player as he has on his MP3 player. This means his sister has [tex]\frac{5}{6}x[/tex] songs.
We are also told that his sister has 35 songs. We can represent our given information in an equation as:
[tex]\frac{5}{6}x=35[/tex]
Let us solve for x.
[tex]\frac{6}{5}\cdot \frac{5}{6}x=\frac{6}{5}\cdot35[/tex]
[tex]x=6\cdot 7[/tex]
[tex]x=42[/tex]
Therefore, Nathaniel has 42 songs.
Help with the answer
z\12=10 what is it and there is no options to this
Jessica and her sister have a combined age of 47. Jessica is 5 years older than her sister. How old is Jessica
van someone please help me please solving number 6 and 7 please.
A player has 26 hits in 120 times at bat. Write the player's batting average as a decimal. Round to the nearest thousandth
Answer: 0.217
Step-by-step explanation:
Given : Number of hits = 26
Number of times at bat = 120
The formula to find the player's batting average is given by :-
[tex]\text{Player's batting average}=\dfrac{\text{Number of hits}}{\text{Number of times player at bat}}\\\\\Rightarrow\ \text{Player's batting average}=\dfrac{26}{120}\\\\\Rightarrow\ \text{Player's batting average}=0.216666666667\approx0.217\ \ \text{[ Rounded to the nearest thousandth]}[/tex]
Hence, the player's batting average = 0.217
help please ! 15 points
Nick is rock climbing. He climbs 30 feet up a rock wall and then climbs 22 feet down to a landing area. The number of feet Nick climbs can be represented using the expression |30| + |-22|. How many feet does Nick climb? Evaluate the expression and show all your work.
what three steps should be followed when multiplying fractions?
Answer:
1 multiply the top numbers the numerators
2 multiply the bottom numbers the denominators
3 simplify the outcome if needed
Step-by-step explanation:
In the transit museum, there are 1,763 modern train paintings and 447 antique train paintings. There are 76 more paintings than sculpture. How many sculptures are in the museum?
To find the number of sculptures in the museum, we add the number of modern and antique train paintings and then subtract 76 from the total because there are 76 more paintings than sculptures. The museum has 2,134 sculptures.
The student asked how many sculptures are in the museum, given the number of modern train paintings and antique train paintings, and also knowing there are 76 more paintings than sculptures. To find out the number of sculptures, we first add the number of modern and antique paintings together: 1,763 + 447 = 2,210 paintings in total. Since there are 76 more paintings than sculptures, we subtract 76 from the total number of paintings to find the number of sculptures: 2,210 - 76 = 2,134 sculptures.
find the value of x (and wrote how you solve It)
where do young tigers swim
Young tigers, also known as tiger cubs, typically swim in bodies of water such as rivers, streams, lakes, and ponds found within their natural habitat.
Tigers are known to be excellent swimmers and are generally comfortable in water.
They use swimming as a means to cool off, explore their surroundings, and sometimes to hunt or catch prey.
Swimming also helps tiger cubs develop their physical abilities and gain confidence in the water.
Thus, it's important to note that tigers are found in various habitats across Asia, including mangrove swamps, grasslands, and forests, so the specific locations where tiger cubs swim may vary depending on their environment.
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A teacher deposits $3,000 in a retirement fund. If she doesn't add any more money to the fund, which earns an annual interest rate of 6%, how much money would she have in 1 year?
After one year, the teacher would have $3,180 in the retirement fund without adding any more money to it.
To calculate the amount in the retirement fund after one year, we need to take into account the principal amount deposited and the interest earned over that period. The formula to calculate the total amount after one year is:
Total Amount = Principal Amount + (Principal Amount * Interest Rate)
Where:
Principal Amount = $3,000 (the initial deposit)
Interest Rate = 6% (expressed as a decimal, which is 0.06)
Now, we can plug the values into the formula:
Total Amount = $3,000 + ($3,000 * 0.06)
Total Amount = $3,000 + $180
Total Amount = $3,180
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Can a triangle have two obtuse angle
Explain how the associative property can be used to solve this problem. 8/9 / 7/5* 3/16