Answer:
let water evaporated be x ml
...
acid 8% ------60 ml
...
final quantity = 10% ----(60-x)
..
60*8 = 10(60-x)
480=600-10x
10x=600-480
10x= 120
/10
x=12 ml should be evaporated.
Step-by-step explanation:
Write the number five thousand and twelve in figure
Answer:
5012
Step-by-step explanation:
Five thousand: 5000
Twelve: 12
Five thousand twelve: 5000 +12 = 5012
_____
Comment on "and"
I was taught to reserve the use of "and" for indicating a decimal point. For example, "five thousand and twelve hundredths" = 5000.12
Final answer:
The number five thousand and twelve is written in numerical form as 5012, with 'five thousand' representing 5000 and 'twelve' adding 12.
Explanation:
The number five thousand and twelve written in numerical form is 5012.
When converting numbers from word form to figure form, it is essential to identify the value of each word in the context of place value. In this case:
'Five thousand' indicates 5 times 1000, which gives us 5000.'And' typically means that we are moving on to the next part of the number which in this case is 'twelve,' so we simply add 12 to the previously calculated value.Thus, combining those two values brings us to the total figure of 5012.
Solve the equation
x-5=36-7(x+7)
Answer: x = -1
Step-by-step explanation:
1) x - 5 = 36 -7x -49
2) x - 5 = -13 -7x
3) x + 7x =- 13 +5
4) 8x =- 8
5) x = -1
Please mark this as the brainliest answer! :) I hope this helped! <3
A tangent line is a line that insersecta a circle at exactly two points.
true or false
Answer:
False
Step-by-step explanation:
Correct statement would be:
A tangent line is a line that insersects a circle at exactly one point.
The number of trees in a forest follows the logistic growth function , where t is the time in years. According to the growth model, how many trees will there be after 50 years? A. 14,285 b. 18,092 c. 20,874 d. 21,386
Answer:
D. 21,386
Step-by-step explanation:
The question is incomplete. Here is the complete question.
"The number of trees in a forest follows the logistic growth function,
f(t) = 32000/1+12.8e^-0.065t where t is the time in years. According to the growth model, how many trees will there be after 50 years?"
Given the logistics growth function,
f(t) = 32000/1+12.8e^-0.065t
To calculate the number of trees that will be there after 50years, we will substitute the value of t = 50 into the function
f(50) = 32000/1+12.8e^-0.065(50)
f(50) = 32000/1+0.496
f(50) = 32000/1.496
f(50) = 21,385.94
f(50) = 21,386
Number of trees that will be there after 50years is 21,386years
These product of two consecutive integers is 72. The equation x(x+1)=72 represents the situation, where x represents the smaller integer. Which equation can be factored and solved for the smaller integer
Answer:
[tex]x-8[/tex], smaller integer is 8.
Step-by-step explanation:
Given:
The product of two consecutive integers is 72.
The equation x(x+1)=72 represents the situation, where x represents the smaller integer.
Question asked:
Which equation can be factored and solved for the smaller integer ?
Solution:
[tex]x(x+1)=72\\\\ x^{2} +x=72\\ \\ By\ subtracting\ both\ sides\ by\ 72\\ \\ x^{2} +x-72=72-72\\ \\ x^{2} +x-72=0\\ \\ x^{2} +9x-8x-72=0\\ \\ Taking\ x+9\ as\ common \\ \\ x(x+9)-8(x+9)=0\\ \\ x+9=0,x-8=0\\ \\ x=-9,x=8[/tex]
[tex]x-8[/tex] can be factored and solved for the smaller integer, and that is 8.
Two consecutive integers are 8 and 9 and their product is 8 [tex]\times[/tex] 9 = 72
Which of the following equations could describe a square pyramid? Select all that apply.
A. 3Vh=B
B. V=1/3 lwB
C. w= 3V/lh
D. V/B=h/3
E. V=w^2h/3
F. 1/3= VBh
C. w= 3V/lh
D. V/B=h/3
E. V=w^2h/3
The equation that can describe a square pyramid include:
w = 3v/lhv/b= h/3v = w²h/3What is a square pyramid?It should be noted that a square pyramid simply means a pyramid that has a square base.
The equations that could describe a square pyramid include w = 3v/lh, v/b = h/3, and v = w²h/3. When the top is above the center of the square, it's a right square pyramid.
Learn more about square pyramid on:
https://brainly.com/question/22744289
Consider today's stock listing for Enam Telecom, shown below. 52 wk High 52 wk Low Symbol Div. Close Net Change 122.86 64.77 ENM 3.45 99.14 4.74 If the lowest price in the past year occurred 48 days ago, find the approximate average change per day since then. a. $4.74 b. $0.72 c. $0.49 d. $1.34
Answer:
B. $0.72
Step-by-step explanation:
Here is the stock listing for Enam Telecom
52 wk high is 122.86
52 wk low is 64.77
Div. is 3.45
Close is 99.14
Net change is 4.74
From the question the lowest price which was 64.77 was 48 days ago.
therefore net change in value is:
Close - lowest price:
99.14 - 64.77 = 34.37
Since change is in 48 days,
the average change per day is:
Total change / number of days = 34.37/48 = 0.716
This answer is approximately 0.72
Therefore average change per day is 0.72
Answer:
B
Step-by-step explanation:
An empty swimming pool is to be filled to the top. The pool is shaped like a rectangular prism with length 16m, width 10m, and depth 5m. Suppose water is pumped into the pool at a rate of 40m3 per hour. How many hours does it take to fill the empty pool?
Answer:
it will take 20hrs to fill the pool
Answer:
It would take 20 hours to fill the pool.
Step-by-step explanation:
We are give the Dimensions of the Pool. Recall that Volume of a Rectangular Prism is V = l*w*h which will return 800[tex]m^{3}[/tex]. Using Dimensional Analysis and recalling that the rate is being pumped at a rate of [tex]\frac{40m^{3}}{h}[/tex], [tex]\frac{m^{3} }{\frac{m^{3}}{h} } = h[/tex] so, just divide the Volume by the Rate given since they are under the same units: [tex]\frac{16*10*5}{40} = \frac{800}{40} = 20 hours[/tex].
there are 2 piles of paper on a desk. each pile has the same number of papers. there are 12 people in all on the desk. how many papers are in each pile?
Answer:
6
Step-by-step explanation:
for 12 papers?
12 is the total amount
2 is the amount of piles
12 divided by 2 is 6.
there are 6 papers in each pile
Final answer:
To find out the number of papers in each pile, divide the dozen papers by the two piles, resulting in 6 papers per pile.
Explanation:
The question asks about dividing papers into two piles with an equal number of papers in each pile. Since it mentions there are 12 papers in total on the desk, we know that the number 12 represents a dozen, which is a common grouping for small objects to make counting and handling more efficient. To find out how many papers are in each pile, we simply divide the total number of papers by the number of piles. There are 2 piles on the desk, so we would perform the following calculation:
Determine the total number of papers: 12 (a dozen).Divide the total number of papers by the number of piles: 12 papers ÷ 2 piles = 6 papers per pile.Therefore, each pile contains 6 papers.
Use the distributive property
Answer:
20x + 12y -21
Step-by-step explanation:
Do the operation and put in the another side.
Answer:
4(5x+3y-7) = [20x] + [12y] + [- 28]
Step-by-step explanation:
4(5x+3y-7)
1) Distribute the 4 to each term in the parenthesis.
4(5x) + 4(3y) + 4(-7)
2) Multiply.
20x + 12y - 28 ← Final Answer
It costs $11.50 to rent a canoe and $5.50 to use the canoe for an hour. You have $28. Write an equation that represents the number $h$ of hours you can rent the canoe.
Answer:
the equation would be
28÷(11.50+5.50)
hope this helps :)
Answer:
28=5.50h+11.50
Step-by-step explanation:
7. A rock is thrown with a height equation of h=-1612 20t 5 (where h is the height of the rock in feet at any given time of t in seconds). Will it reach a height of 30 feet? Explain your answer
Answer:
Since h(max) is less than 30 ft, it will never reach a height of 30ft
The maximum height it can reach is 11.25ft.
Step-by-step explanation:
Given;
The height equation of the rock;
h = -16t^2 +20t +5
To determine whether it would reach 30 ft, we need to find its maximum height. Which is at;
dh/dt = 0
dh/dt = -32t +20 = 0
At Maximum height.
t = 20/32
We then substitute into the height equation.
h(max) = -16(20/32)^2 + 20(20/32) +5
h(max) = 11.25 ft
Since h(max) is less than 30 ft, it will never reach a height of 30ft
The maximum height it can reach is 11.25ft.
Answer:
There are no real solution to the equation [tex]h = -16t^2 +20t +5[/tex] when h = 35 ft.
Step-by-step explanation:
Here we have the equation for the height of the rock in ft given as
[tex]h = -16t^2 +20t +5[/tex]
For the rock to reach 30 ft we must have
[tex]30 = -16t^2 +20t +5[/tex]
That is [tex]0 = -16t^2 +20t +5 - 30 = -16t^2 +20t -25[/tex]
[tex]0 = -16t^2 +20t -25[/tex] or
[tex]16t^2 -20t +25 = 0[/tex]
From which it is observed that since the root of the equation is given by the quadratic formula
b² should be greater than 4·a·c however
(-20)²[tex]\ngeqslant[/tex] (4×16×25)
Hence the equation has only imaginary roots.
DIRECTIONS: Use this information to answer Parts A and B. Scientists measure temperature in degrees Celcius and in kelvin. A temperature in kelvin is 237.15 greater than the temperature in degrees Celcius. Question 1 Part A What is an equation that relates the temperature K, in kelvin, to the temperature C, in degrees Celsius?
The equation [tex]\( K = C + 237.15 \)[/tex]) provides a way to convert temperatures from degrees Celsius to Kelvin. It reflects the fact that the Kelvin scale starts from absolute zero and is offset from the Celsius scale by 273.15 degrees.
K as the temperature in Kelvin,
C as the temperature in Celsius.
We're given that a temperature in Kelvin is 237.15 greater than the temperature in degrees Celsius. So, we can express this relationship as an equation:
[tex]\[ K = C + 237.15 \][/tex]
This equation shows that to convert from Celsius to Kelvin, you add 237.15 to the Celsius temperature. Similarly, to convert from Kelvin to Celsius, you subtract 237.15.
Here's the equation:
[tex]\[ K = C + 237.15 \][/tex]
1. **Definition of Kelvin and Celsius Scales**:
- Kelvin (K): Kelvin is an absolute temperature scale where 0 Kelvin represents absolute zero, the lowest possible temperature where particles cease to move. One Kelvin is equal in magnitude to one degree Celsius.
- Celsius (C): Celsius is a temperature scale based on the freezing and boiling points of water, where 0 degrees Celsius represents the freezing point of water and 100 degrees Celsius represents the boiling point of water at standard atmospheric pressure
2. **Relationship between Kelvin and Celsius**:
- To convert from Celsius to Kelvin, you add 273.15 to the Celsius temperature. This adjustment is made because the Kelvin scale starts from absolute zero, which is -273.15 degrees Celsius.
3. **Given Relationship**:
- The given information states that a temperature in Kelvin is 237.15 greater than the temperature in degrees Celsius. This means that to convert from Celsius to Kelvin, you add 237.15 to the Celsius temperature.
- We can express this relationship mathematically as [tex]\( K = C + 237.15 \).[/tex]
- Here, [tex]\( K \)[/tex] represents the temperature in Kelvin, and [tex]\( C \)[/tex]represents the temperature in degrees Celsius.
- Adding 237.15 to the Celsius temperature converts it to Kelvin.
- The equation [tex]\( K = C + 237.15 \)[/tex]) provides a way to convert temperatures from degrees Celsius to Kelvin. It reflects the fact that the Kelvin scale starts from absolute zero and is offset from the Celsius scale by 273.15 degrees.
There are (713)3⋅ 70 strawberries in a field. What is the total number of strawberries in the field?
Answer:
149,730 strawberries
Step-by-step explanation:
Answer:
149,730 strawberries
Step-by-step explanation:
PLEASE HELP! Alayna knows that the North Star, Polaris, is a pole star appearing stationary in the sky as Earth spins. She also knows that there is not a South Star. This piques her curiosity. She wants to figure out which star is closest to being the South Star.
By studying the night sky, she has determined that if the South Star existed it would be at the coordinates (-2,2) on her star chart (shown below).
Which star is closest to where the South Star would be, as shown on Alayna's star chart?
STAR A
STAR B
STAR C
The distance from that star to where the South Star would be is ____ units
Round the final answer to the nearest tenth of a unit. Do not round intermediate calculations.
Answer:
star a; 5.7 units
Step-by-step explanation:
I'll MARK AS BRAINLIEST!! PLZ HELP!! I GIVE 25 POINTS!!
graph: y= -1/4x+6
Answer:
Straight line joining (0,6) and (24,0)
Step-by-step explanation:
y = (-1/4)x + 6
Make a straight line passing through:
y = 0 + 6 = 6
(0,6)
And
0 = (-1/4)X + 6
-6 = -x/4
x = 24
(24,0)
sorry honey but i dot have a graph to you how but
all you do is start at 6 positive and then mark a point one down and 4 to left and mark other point and then draw a line through it
Which one is bigger 25 mm or 3 cm
Answer:
3 cm
Step-by-step explanation:
3 cm converted to mm would be 30 mm which is bigger than 25 mm
help with properties of rhombus,rectangles and squares
Answer:
<1 : 36 degrees
<2 : 90 degrees
<3 : 36 degrees
<4 : 54 degrees
Step-by-step explanation:
First off, rhombus's have right angles formed at the middle, meaning that <2 is 90 degrees. Then, it's given that angle is 54 degrees, and its alternate interior angle is the one that is adjacent to <3. To find <1, add 90 and 54, and subtract that from 180. So <1 is 36 degrees. So that automatically makes < 3, 36 degrees and < 4, 54 degrees.
Solve each equation and check.show all work
Answer:
p= 8
Step-by-step explanation:
1/2 p = 4
p = 2(4)
Answer:
p=8
Step-by-step explanation:
This will ake the problem 8/2 which is the same as 4.
Thus, 8 is your answer.
Leave 5 stars if this helped.
What is the solution to the following equation 4x+3y-z=-6
True or false?You can represent the distance of an object underground using negative numbers.
Answer: True
Step-by-step explanation:
If you draw a vertical number line, the numbers in it will infinitely extend in both directions (up and down), having the zero 0 as the neutral number (the origin).
Then, the numbers that are above the origin are the positive integers and represent the distance of an object above zero, while the numbers below the origin are the negative integers and represent perfectly the distance of an object underground (below the origin).
The statement is true, negative numbers can be used to represent the distance of an object below a reference point, such as underground relative to the surface.
True or false? You can represent the distance of an object underground using negative numbers.
The statement is true. In mathematics, especially when dealing with physical situations like displacements and positions, using negative numbers to indicate direction is a common practice. We often choose a frame of reference and a positive direction at the beginning of a problem. In this context, for example, if we define the surface of the ground as our reference point and the direction away from the center of the Earth (upwards) as positive, then it would take sense to use negative numbers to represent the distance of an object that is located underground, indicating it is below the reference point.
Finding exact value using half angle identities
Why is my answer incorrect?
Step-by-step explanation:
Your mistake is here: cos(-45°) = +½√2, not -½√2.
±√((1 + ½√2) / 2)
= ±√((2 + √2) / 4)
what is the inerquartile range of 29, 30, 28, 32, 28, 31, 27
What is the combined weight of all the kittens? Weight of kittens: 1/4 pound: 2 kittens. 3/8 pound: 3 kittens. 1/2 pound: 3 kittens. 5/8 pound: 3 kittens
the average of wieght od the kittens in the slether?
Five whole numbers are written in order
4 6 x y 10
The mean and median of the five numbers are the same.
Work out values of x and y.
Answer:
x=7
y=8
Step-by-step explanation:
-Given that the mean and median is the same.
-Let b=mean =median
#Given that the set is arranged in order and is even:
[tex]median=\frac{n+1}{2}\\\\Median=3^{rd} \ term\\\\=x[/tex]
Hence:
[tex]b=median=mean\\\\b=x\\\\\therefore mean=median=x[/tex]
-Applying the mean formula:
[tex]\bar x=\frac{1}{n}\sum{x_i}\\\\\therefore 5x=4+6+x+y+10\\\\4x=20+y\\\\x=5+0.25y[/tex]
#Since the number are in order:
[tex]6<x<y<10\\\\\#let\ x=7,y=8\\\#Substitute\\\\7=5+0.25(8)\\7=7\\\\[/tex]
Hence, x=7 and y=8
Your family is traveling to Mexico on vacation. You have saved 500 to spend. If with Mexican pesos is equivalent to $25 how much money will you get when you exchange $500 for Mexican pesos?
Answer: 20 pesos.
Step-by-step explanation: Your basically dividing 500 by 25. Hope this was helpful. :)
Answer:
20 ₱ (Pesos)
Step-by-step explanation:
$500 to Mexican Pesos
$25 = ₱1
25*4*5 = 1*4*5
$500 = 20 ₱
what are the 5 perfect square numbers between 50 and 140
Answer:
64, 81, 100, 121 there are 4
Step-by-step explanation:
Answer:
heyyy there
Step-by-step explanation:64, 81, 100, 121, are the perfect square numbers between 50 and 140..
64=8*8
81=9*9
100=10*10
121=11*11
................12 *12 bcoms 144 so its not between 144
hope it helps
What is the inverse of y=6^x?
A contractor had $3,285 to spend for doors and hammers. Doors cost $75 each. He bought the greatest number of doors that he could buy. He will use the money he has remaining to buy hammers that cost $15 each. What is the greatest number of hammers the contractor can buy with the money he has remaining?
Answer:
4 hammers
Step-by-step explanation:
Please refer to the attached image for explanations
The 24 colleges of interest to a high school senior include 8 that are expensive (tuition more than $20,000 per year), 8 that are far from home (more than 200 miles away), and 5 that are both expensive and far from home.
A. If the student decides to select a college that is not expensive and within 200 miles of home, how many selections are possible?
B. If the student decides to attend a college that is not expensive and within 200 miles from home during his first two years of college, and then will transfer to a college that is not expensive but is far from home, how many selections of two colleges are possible?
For part A, the student has 13 colleges to choose from that are not expensive and near home. For part B, the total possible selections of two colleges is 156, considering the student won't attend the same college before and after the transfer.
Explanation:The subject of this question pertains to probability and set theory, a branch of mathematics. We use the principle of inclusion and exclusion to solve the problem.
For part A. there are total 24 colleges, 8 are expensive which means 24 - 8 = 16 are not expensive. Among 24 colleges, 8 are far from home which means 24 - 8 = 16 are near. But remember, there are 5 colleges that are both expensive and far, hence these 5 colleges got subtracted twice. So, we need to add them back. The number of colleges that are not expensive and near home are 16 + 16 + 5 = 37. However, this goes beyond the total number of colleges, so we subtract 24 from it to get the correct count of 13.
For part B, the number of ways before transferring are the same as in part A, 13. The number of ways after transferring, there are total 24 colleges, 8 are expensive which means 24 - 8 = 16 are not expensive. Among 24 colleges, 8 are near which means 24 - 8 = 16 are far. Adding the count of not expensive and far gets us 16 + 16 = 32. Subtract the total number of colleges to get the correct figure 32 - 24 = 8. Nothing the student can't attend the same college before and after the transfer, so the count of total selections is 13 choices for the first selection multiplied by 12 choices for the second selection, getting us a total of 156 possible selections.
Learn more about Set Theory here:https://brainly.com/question/27333813
#SPJ11