To determine the number of trout in a lake, a conservationist catches 174 trout, tags them and throws them back into the lake. Later, 22 trout are caught; 11 of them are tagged. How many trout would the conservationist expect to be in the lake?
Answer:
348 trouts in the lake
Step-by-step explanation:
Since this is basically a ratio problem and we are given three values we can use the rule of three to solve for the missing variable which would be the total amount of trouts in the lake. To do so we multiply the total amount trouts tagged by the number of trouts caught later. Then we multiply that product by the amount that were found to be tagged later.
22 total trouts caught later <=========> 11 trouts were tagged
x total trouts <=========> 174 trouts tagged
(174 * 22) / 11 = 348 total trouts in the lake
Finally, we can see that the conservationist would expect there to be around 348 trouts in the lake.
At Henry's yearly physical, he measured 5 feet 8 inches tall. If there are 2.54 centimeters in 1 inch, what is Henry's height in centimeters?
Answer:
172.72 centimeters
Step-by-step explanation:
1. 5 ft. = 60 in.
2. 60 in. + 8 in. = 68 in.
3. 68 x 2.54 = 172.72
4. add unit of measurement to your answer
Henry's height in centimeters is 172.72 cm
What is unitary method ?"A process of finding the value of a single unit, and based on this value we can find the required value. "
For given question,
Henry measured 5 feet 8 inches tall.
There are 2.54 centimeters in 1 inch.
that is, 1 inch = 2.54 cm
First we convert Henry's height in inches.
We know that 1 feet = 12 inches
⇒ 5 feet = 60 inches
so, Henry's height in inches would be,
5 feet 8 inches
= (60 + 8) inches
= 68 inches
From given, 1 inch = 2.54 cm
⇒ 68 inches = 172.72 cm
Therefore, Henry's height in centimeters is 172.72 cm
Learn more about the unitary method here:
brainly.com/question/22056199
#SPJ2
Evaluate the function f(x) at the given numbers (correct to six decimal places).
f(x) =
x2 − 2x
x2 − 4
,
x = 2.1, 2.05, 2.01, 2.001, 2.0001,
1.9, 1.95, 1.99, 1.999, 1.9999
x f(x)
2.1
0.512195
Correct: Your answer is correct.
2.05
0.5062
Incorrect: Your answer is incorrect.
2.01
0.5012
Incorrect: Your answer is incorrect.
2.001
0.5000
Incorrect: Your answer is incorrect.
2.0001
0.500012
Correct: Your answer is correct.
x f(x)
1.9
0.487179
Correct: Your answer is correct.
1.95
0.493670
Incorrect: Your answer is incorrect.
1.99
0.498746
Incorrect: Your answer is incorrect.
1.999
0.499874
Incorrect: Your answer is incorrect.
1.9999
0.499987
Correct: Your answer is correct.
Answer:
[tex]f(2.1) = 0.512195[/tex]
[tex]f(2.05) = 0.506173[/tex]
[tex]f(2.01)=0.501247[/tex]
[tex]f(2.001) = 0.500125[/tex]
[tex]f(2.0001) = 0.500012[/tex]
[tex]f(1.9) = 0.487179[/tex]
[tex]f(1.95) = 0.493671[/tex]
[tex]f(1.99) = 0.498747[/tex]
[tex]f(1.999) = 0.499875[/tex]
[tex]f(1.9999) = 0.499987[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{x^2 - 2x}{x^2 - 4}[/tex]
Solve for f(x) for all given values of x
First, we need to simplify f(x)
[tex]f(x) = \frac{x^2 - 2x}{x^2 - 4}[/tex]
[tex]f(x) = \frac{x(x - 2)}{x^2 - 2^2}[/tex]
[tex]f(x) = \frac{x(x - 2)}{(x- 2)(x + 2)}[/tex]
[tex]f(x) = \frac{x}{x + 2}[/tex]
When [tex]x = 2.1[/tex]
[tex]f(x) = \frac{x}{x + 2}[/tex]
[tex]f(2.1) = \frac{2.1}{2.1 + 2}[/tex]
[tex]f(2.1) = \frac{2.1}{4.1}[/tex]
[tex]f(2.1) = 0.512195[/tex]
When [tex]x = 2.05[/tex]
[tex]f(x) = \frac{x}{x + 2}[/tex]
[tex]f(2.05) = \frac{2.05}{2 + 2.05}[/tex]
[tex]f(2.05) = \frac{2.05}{4.05}[/tex]
[tex]f(2.05) = 0.506173[/tex]
When [tex]x = 2.01[/tex]
[tex]f(x) = \frac{x}{x + 2}[/tex]
[tex]f(2.01)=\frac{2.01}{2.01 +2}[/tex]
[tex]f(2.01)=\frac{2.01}{4.01}[/tex]
[tex]f(2.01)=0.501247[/tex]
When [tex]x = 2.001[/tex]
[tex]f(x) = \frac{x}{x + 2}[/tex]
[tex]f(2.001) = \frac{2.001}{2.001 +2}[/tex]
[tex]f(2.001) = \frac{2.001}{4.001}[/tex]
[tex]f(2.001) = 0.500125[/tex]
When [tex]x = 2.0001[/tex]
[tex]f(x) = \frac{x}{x + 2}[/tex]
[tex]f(2.0001) = \frac{2.0001}{2.0001 + 2}[/tex]
[tex]f(2.0001) = \frac{2.0001}{4.0001}[/tex]
[tex]f(2.0001) = 0.500012[/tex]
When [tex]x = 1.9[/tex]
[tex]f(x) = \frac{x}{x + 2}[/tex]
[tex]f(1.9) = \frac{1.9}{1.9 + 2}[/tex]
[tex]f(1.9) = \frac{1.9}{3.9}[/tex]
[tex]f(1.9) = 0.487179[/tex]
When [tex]x = 1.95[/tex]
[tex]f(x) = \frac{x}{x + 2}[/tex]
[tex]f(1.95) = \frac{1.95}{1.95 + 2}[/tex]
[tex]f(1.95) = \frac{1.95}{3.95}[/tex]
[tex]f(1.95) = 0.493671[/tex]
When [tex]x = 1.99[/tex]
[tex]f(x) = \frac{x}{x + 2}[/tex]
[tex]f(1.99) = \frac{1.99}{1.99 + 2}[/tex]
[tex]f(1.99) = \frac{1.99}{3.99}[/tex]
[tex]f(1.99) = 0.498747[/tex]
[tex]f(x) = \frac{x}{x + 2}[/tex]
When [tex]x = 1.999[/tex]
[tex]f(x) = \frac{x}{x + 2}[/tex]
[tex]f(1.999) = \frac{1.999}{1.999 + 2}[/tex]
[tex]f(1.999) = \frac{1.999}{3.999}[/tex]
[tex]f(1.999) = 0.499875[/tex]
When x = 1.9999
[tex]f(x) = \frac{x}{x + 2}[/tex]
[tex]f(1.9999) = \frac{1.9999}{1.9999 + 2}[/tex]
[tex]f(1.9999) = \frac{1.9999}{3.9999}[/tex]
[tex]f(1.9999) = 0.499987[/tex]
Note that all values of f(x) are approximated to 6 decimal places
In one problem, he gave her a store receipt that listed 72 identical items, each the
same price, for a total cost of
$ * 67.9*
Bryn's Grandpa covered the first and last digits of the total price on the receipt
with stars.
Determine the values of the digits that Bryn's Grandpa covered.
Answer:
The first covered digit = x = 3
The last covered digit = y = 2
The total price on the receipt = $367.92
Step-by-step explanation:
Given data:
total cost = $ * 67.9*
First we check for the multiples of 72
9 × 8 = 72
Let
the first covered digit be denoted by x
the last covered digit be denoted by y
Solution
First we find the last covered digit
If a number should be divisible by 8,
It must be a multiple of 8
From the given price:
The last 3 digits = 79*
number in multiples of 8
7.9* = 7.20 + 0.64+ 0.08
7.9* = 7.92
Therefore, the last two digit is 2.
Next We find the first covered digit.
If a number is divisible by 9, it is a multiple of 9
The first digit = x would be determined as:
= x + 6 + 7 + 9 + 2
= x + 24
= x + 24
multiple of 9 nearer to 24 = 27
27 = x + 24
x = 27 - 24
x = 3.
The 7 a.m. flight from Dallas to Chicago is on time 75% of the time. Fran created this spinner to simulate the scenario. A spinner with 4 equal sections. 3 sections are shaded. Fran spun the spinner three times to predict whether the flight will be on time or late next Monday, Tuesday, and Wednesday. How should she interpret this outcome of the three spins: shaded-shaded-unshaded? The flight will be late all three days. The flight will be on time all three days. The flight will be late on one of the three days. The flight will be on time on one of the three days.
Answer:
CORRECT OPTION is (C) The flight will be late on one of the three days.
Step-by-step explanation:
The 7am flight from Dallas to Chicago is on time 75% of the time.
A spinner with four sections was created by Fran to simulate this scenario.
Since the 4 sections were equal, it means each section was 25% of the spinner.
3 sections were shaded. That implies 25 × 3 = 75% of the spinner was shaded area.
This coincides with the 75% probability that the flight is on time on a given day.
In other words, if the spinner's pointer lands on shaded area, the flight will be on time. If the pointer lands on an unshaded portion, the flight will be late.
Now Fran spun the spinner 3 times so she has 3 outcomes. The outcomes are:
- Shaded - Shaded - Unshaded
CORRECT OPTION is (C) The flight will be late on one of the three days.
Answer:
C
Step-by-step explanation:
I did the test
Simplify 2k^8×3k^3
Answer:
[tex]6k^{11}[/tex]
I hope this helps!
Answer:
6 k^ 11
Step-by-step explanation:
2k^8×3k^3
2*3 * k^8 * k^3
6 * k^8 * k^3
When multiplying exponents with the same base, we can add the exponents
6 k^( 8+3)
6 k^ 11
1 quart= 4cups=1.96, Each cup coat?
Answer:
Step-by-step explanation:
Sorry but please give detailed question
You are testing fertilizers on plants. One plant is 11 cm tall and growing at a rate of 2 cm/day. Write an equation that can be solved to find the number of days, d, it will take for the plant to be 65 cm tall.
The required equation that can be solved to find the number of days, d, it will take for the plant to be 65 cm tall is d= [tex]\frac{5.5\times 65}{11}\\[/tex]
From the question given, we are told that when testing fertilizers on a plant that is 11 cm tall, it is growing at a rate of 2 cm/day. This can be expressed as:
11cm = 2cm/dayWe can get the number of days it will take the 11cm plant to grow:
11cm = x
2cm = 1 day
[tex]2x = 11 * 1\\2x = 11\\x = 11/2\\x = 5.5 days\\[/tex]
Since it will take 5.5days for 11 cm plant tall to grow, to calculate the number of days 'd' it will take a 65cm plant tall to grow, we can say:
11cm = 5.5days
65cm = "d"
Cross multiply
[tex]11d = 5.5 \times 65\\d = \frac{5.5\times 65}{11}\\[/tex]
Hence the required equation that can be solved to find the number of days, d, it will take for the plant to be 65 cm tall is d= [tex]\frac{5.5\times 65}{11}\\[/tex]
Learn more here: https://brainly.com/question/23557548
Write the number in
standard form
6 tens+7=
Answer:
67
Step-by-step explanation:
Bill was looking through a microscope. He called Sue over to tell her what he saw. He showed her a cell wall, nucleus, mitochondria, and chloroplast. What type of cell was he looking at?
A. Prokaryotic cell B. Plant cell
C. Animal cell
D. Red blood cell
Answer:
B. Plant cell
Step-by-step explanation:
Prokaryotic cells do not contain an enclosed nucleus or chloroplast
Red blood cells do not contain chloroplast
Animal cells do not contain chloroplast
There are two pear trees in Charles’s backyard. The height of the rst tree is two more than three times taller than the other. If the dierence in height between the two trees is 14.5 feet, calculate the height of the shorter pear tree?
Answer:
Lol Charles from Brooklyn nine-9
Step-by-step explanation:
What is 27 5/6 - 2/7?
Answer:
my calculator says 1159/35
Step-by-step explanation:
Solve for x. 3(2x - 3) + 3 = 24
Answer:
[tex] \huge{ \bold{ \boxed{ \tt{x = 5}}}}[/tex]
Step-by-step explanation:
[tex] \text{3(2x - 3) + 3 = 24}[/tex]
[tex] \text{Step \: 1 \: : \: Distribute \: 3 \: through \: the \: parentheses\: }[/tex]
[tex] \text{ ➳\: 3 * \: 2x - 3 * 3 + 3 = 24}[/tex]
[tex] \text{➳ \: 6x - 9 + 3 = 24}[/tex]
[tex] \text{Step \: 2 : \: Subtract \: 3 \: from \: 9}[/tex]
[tex] \text{➳ \: 6x - 6 = 24}[/tex]
[tex] \text{Step \: 3 : Add \:6 \: on \: both \: sides}[/tex]
[tex] \text{➳ \: 6x - 6 + 6 = 24 + 6}[/tex]
[tex] \text{➳ \: 6x = \: 30}[/tex]
[tex] \text{Step \: 4 : Divide \: both \: sides \: by \: 6}[/tex]
[tex] \text{➳ 6x / \: 6 \: = \: 30/ \: 6}[/tex]
[tex] \text{➳ \: x = 5}[/tex]
[tex] \text{The \: value \: of \: x \: is \: 5}[/tex]
[tex] \text{Hope \: I \: helped!}[/tex]
[tex] \text{Best \: regards!}[/tex]
~[tex] \text{TheAnimeGirl}[/tex]
(8,3) (5,6) what is slope??
Answer:
-1
Step-by-step explanation:
40 POINTS!!! Answer asappp!!!!!!
Solve the following proportion for u.
3 U
— = —
13 7
Round your answer to the nearest tenth.
Answer:
Th value of u is 1.6
Step-by-step explanation:
In order to find the value of u, you have to multioly both sides by 7 :
[tex] \frac{u}{7} = \frac{3}{13} [/tex]
[tex] \frac{u}{7} \times 7 = \frac{3}{13} \times 7[/tex]
[tex]u = 1.6 \: (near. \: tenth)[/tex]
Susan read 40 pages of a novel in 80 minutes. How long will it take her to read 210 pages of the novel?
Answer: It will take Susan 420 minutes to read 210 pages of her novel.
Un paracaidista que pesa 70 N es lanzado de un avión. halla su masa
Answer:
La masa del paracaidista es 7.14 Kg
Step-by-step explanation:
Peso y Masa
La masa de un objeto es una medida de la cantidad de material que el objeto posee. Sus unidades más comunes son el Kg, gr, lb, Ton.
El peso de un objeto de masa m es la fuerza con la cual la Tierra atrae al objeto a través de la aceleración de gravedad g. Sus unidades son iguales a las de cualquier fuerza, es decir, Nw, Kgf, Dina. Su fórmula es:
P=m.g
Si tenemos el peso P=70 N, podemos calcular la masa, despejándola de la fórmula:
[tex]\displaystyle m=\frac{P}{g}[/tex]
Sustituyendo los valores:
[tex]\displaystyle m=\frac{70}{9.8}=7.14\ Kg[/tex]
La masa del paracaidista es 7.14 Kg
Two student clubs plan to share a bus on a trip to the capital.Transportation and lunch for one day is 12 bucks per student.One club has 25 members and the other club has 18 members.What is the total cost of the trip
Answer:
516
Step-by-step explanation:
add 25 and 18 and you get 43 students if you have to pay 12 for every student you'd have to multiply 43 × 12 = 516 so the trip would be 516 in total
which expression is equivalent to the following complex fraction?
(pls help me out)
Answer:
B. [tex] \frac{-4x + 7}{2(x - 2)} [/tex]
Step-by-step explanation:
Simplify the given expression to determine its equivalent expression in the given options.
[tex] \frac{\frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1}} [/tex]
[tex] \frac{\frac{3}{x - 1} - \frac{4}{1}}{\frac{2}{1} - \frac{2}{x - 1}} [/tex]
[tex] \frac{\frac{3 - 4(x - 1)}{x - 1}}{\frac{2(x - 1) - 2}{x - 1}} [/tex]
[tex] \frac{\frac{3 - 4x + 4}{x - 1}}{\frac{2x - 2 - 2}{x - 1}} [/tex]
[tex] \frac{\frac{-4x + 7}{x - 1}}{\frac{2x - 4}{x - 1}} [/tex]
[tex] \frac{-4x + 7}{x - 1} * \frac{x - 1}{2x - 4} [/tex]
(x - 1) cancels (x - 1)
[tex] \frac{-4x + 7}{1} * \frac{1}{2x - 4} [/tex]
[tex] \frac{(-4x + 7)1}{1(2x - 4)} [/tex]
[tex] \frac{-4x + 7}{2x - 4} [/tex]
[tex] \frac{-4x + 7}{2(x - 2)} [/tex]
4Flaming Hoop Jump of Awesome Daredevil Danny attempts the feat of jumping his motorcycle through the Flaming Hoop Jump of Awesome. In order for Daredevil Danny to pass through the hoop, he will need a safe path to travel. Let’s explore the parabolic trajectory that he will need for a safe journey. Directions Complete each of the following tasks, reading the directions carefully as you go. Be sure to show all work where indicated, including inserting images of graphs. Be sure that all graphs or screenshots include appropriate information such as titles, labeled axes, etc. If your word processing program has an equation editor, you can insert your equations here. Otherwise, print this activity sheet and write your answers by hand. In addition to the answers you determine, you will be graded based on the work you show, or your solution process. So, be sure to show all your work and answer each question as you complete the task. Type all your work into this document so you can submit it to your teacher for a grade. You will be given partial credit based on the work you show and the completeness and accuracy of your explanations. Your teacher will give you further directions about how to submit your work. You may be asked to upload the document, e-mail it to your teacher, or print it and hand in a hard copy. Now, let’s get started! Step 1: Analyze the graph. Daredevil Danny takes a practice jump as shown on the graph below. Complete the steps to determine the equation for the parabolic trajectory of his practice jump. a) What are the key aspects of any parabola? What do the key aspects tell you about the graph? (5 points) b) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points) Step 2: Solve for coefficient a. a) What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points) b) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points) c) What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points) Step 3: Change from vertex form to standard form. To get Daredevil Danny through the Flaming Hoop Jump of Awesome, you will need to know the values of a, b, and c, which are the coefficients of the quadratic equation in standard form. a) What is the equation for a parabola in standard form? (5 points) b) Describe how to convert from vertex form to standard form. (10 points c) Convert the vertex form of the equation you wrote above to standard form. (10 points) d) What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump? (5 points) Step 4: Calculate the equation for the flaming hoop jump. Using the same method for the practice jump, write the standard form of the equation that will get Daredevil Danny safely through the Flaming Hoop Jump of Awesome! a) Write the vertex form by substituting in values for x, y, h, and k, and then solve for a. Show your work. (10 points) b) Determine the values of a, b, and c. Show your work. (10 points) c) Using your values of a, b, and c, did Daredevil Danny successfully pass through the Flaming Hoop Jump of Awesome? If not, describe what happened. Then, go back to critique your work and revise it. Write about your revision. (5 points) d) Once you have determined the correct values of a, b, and c, verify algebraically that Daredevil Danny will successfully pass through the Flaming Hoop Jump of Awesome. (5 points)
Answer:
Flaming Hoop Jump of Awesome
Roslyn Bertley
Q : A) What are the key aspects of any parabola? What do the key aspects tell you about the graph?
A : It goes up to its max point and comes down. The max point is 32 and how far it went was from 15 to 35
Q : A) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined.
A : Its a standard form graph , and Danny needs to figure out the speed he is ganna go and the its angle
Step 2: Solve for coefficient a.
Q : A) What equation is used to find the vertex form of a parabola with the vertex (h, k)?
A : F(x)=ax2+bx+c
Q : b) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail.
A : The picture lets us know that the equation of a vertical parabola in vertex form is given by wher A is the leading coefficient. (h,k) is the vertex. looking at the graph we have a vertical paraboola opening downward . The vertex is a maximum The vertex is the point (25.32) substitute in the equation
Q : c) What is the vertex form of the parabola from Daredevil Danny’s practice jump?
f(x)=-12/25(x-25)^2+32
Step 3: Change from vertex form to standard form.
Q : a) What is the equation for a parabola in standard form?
A : y = ax^2 + bx + ct
b) Convert the vertex form of the equation you wrote above to standard form.
f(x)= -0.48xˆ2+24x-268
c) What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump?
Step-by-step explanation:
that’s all i got
(1) Kareem pumped 28 gallons of water in her pool.This was done over a period of 4 minutes at a constant rate. What was the change in the amount of water in the pool each minute?
Answer:
7 Gallons of water get pumped into the pool every minute.
Step-by-step explanation:
28 Divided by 4= 7 so it is 7 gallons per min.
Apply the distributive property to Factor
and the greatest common Factor 44+48
What’s this formula used to calculate?
Answer : definitely sampling error
Which expression is equivalent to
(2x4y)3
2x7y4
2x12y3
8x7y4
8x12y3
Answer:
D
Step-by-step explanation:
Already did it.
Select the correct answer.
A recent survey reported that 9.7% of Virginia's population worked in the construction industry. Which is equivalent to 9.7%?
Question 8 options:
970
97
0.97
0.097
Answer:
0.097
Step-by-step explanation:
Y=2.25 +1.75(x-1) rate of change
Answer:
I think its -2/7
Step-by-step explanation:
if I'm wrong I'm sorry
HELPPPPPP
Giving that you already know what your grades are on your report card. Please write 1 paragraph on how you would like to improve your grade in math and what steps you plan to take to do so.
my grades are A's and B's and one C. my grade in her class is a B!! help me!!!
Answer:
I will study and make sure that I'm not missing any assignments. I will try and do my best even when I dont understand. I will ask you for help if I need it. I will do my best. I will be the best student I can be. I will go to tutoring.
Step-by-step explanation:
Make sure that it sounds like you talking so she does not get suspicious
Answer: Pay more attention
Step-by-step explanation: Focus more and study more than the average human which is 1-2 hours per day, i would recommend either 3-5 every day INCLUDING WEEKENDS.
For instance, i have a 91 in math, that is because i work hard and pay attention. also because of the people who answered my question and ranked it up to a 91, so my explanation is, Pay more attention. try, https://blog.powerscore.com/gre/10-ways-to-effectively-study-vocab-words/
1. Darla's piggy bank is full, so she plans to empty out all of the coins, roll as many as possible to deposit
into her savings account, and put the remaining coins back into the piggy bank. Rolls of pennies and
dimes consist of 50 coins each, while rolls of nickels and quarters consist of 40 coins each.
(9 points: Part 1 - 2 points; Part II - 2.5 points; Part III - 2 points; Part IV - 2.5 points)
Part II: How much will Darla deposit into her savings account?
U.S.)
Answer:
The number of coins is missing, so I looked for a similar question:
Darla counted 472 pennies, 319 nickels, 436 dimes, and 271 quarters
Darla can make:
9 rolls of pennies (worth $4.50)
7 rolls of nickels (worth $14)
8 rolls of dimes (worth $40)
6 rolls of quarters (worth $60)
total amount of money = $118.50
STUCK AGAIN PLEASE HELP !
-18,762=-3z-540
Answer:
z = 6074
Step-by-step explanation:
-18762 = -3z - 540
-3z = -18762 + 540
-3z = -18,222
z = 6074
Answer:
Your answer is: ↓
Step-by-step explanation:
Hope this helped : )
HELP ASAP GIVING BRAINLIEST AND 11 POINTS PLS HELP!!!!!! THANK U SM HOWEVER HELPS IT MEANS A LOT AND ITS DUE IN 20 MINS PLS HURRY AND TYSM AGAIN
Answer:
Slope= 2 / 10 = 1 / 5 = 0.2
y-intercept= (0, -4/5) or (0, -0.8)
Step-by-step explanation: