The Pythagorean Sea, in Southern Antarctica has a depth that varies quadratically with its width. The width of the sea is 1000 meters. Two hundred meters from shore, the depth is 20 meters. Find the particular quadratic equation for the sea. Compute the depth of the deepest portion of the sea.
A large container holds 8 gallons of water. It begins leaking at a constant rate. After 48 minutes, the container has 5 gallons of water left.
The rate of leakage of the water from the container is 0.0625 gallons per minute, derived from the initial and final amount of water in the container and the elapsed time.
Explanation:This problem pertains to the concept of rate of change, a fundamental concept in Mathematics. The rate of leakage of the water from the container can be determined by finding the amount of water leaked per minute. Initially, the container holds 8 gallons of water and after 48 minutes, it has 5 gallons of water left. Hence, the water has been leaking from the container at a rate of (8 gallons - 5 gallons) / 48 minutes = 0.0625 gallons per minute. Understanding this concept can help you solve similar problems, for instance, calculating the time it would take to fill a swimming pool with given rate of water flow.
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7/9 has how many 1/3's in it? How do you solve this ? Thanks
To solve this problem, you need to divide 7/9 by 1/3. The answer is 7/3.
Explanation:To solve this problem, we need to divide 7/9 by 1/3.
Dividing fractions involves multiplying the numerator of the first fraction by the denominator of the second fraction, and the denominator of the first fraction by the numerator of the second fraction.
So, 7/9 ÷ 1/3 = (7/9) x (3/1). Simplifying this gives us 21/9.
We can also simplify this fraction to the lowest terms, which is 7/3.
What represents the number written as 23 and 37 thousandths
The number written as 23 and 37 thousandths can be expressed in decimal form as 23.037.
What is Place value?The foundation of our whole number system is place value. In this approach, the value of a digit in a number is determined by where it appears in the number.
When we write a number like 23.037, each digit to the left of the decimal point represents a different place value. The place values start from the right with ones, then increase by a factor of 10 as we move to the left.
So in the number 23.037:
The digit 7 is in the thousandth place, meaning it represents 7/1000 or 0.007.
The digit 3 is in the hundredth place, meaning it represents 3/100 or 0.03.
The digit 0 is in the tenth place, meaning it represents 0/10 or 0.
The digit 2 is in the one's place, meaning it represents 2 ones, or simply 2.
Therefore, 23.037 can be written as:
23 + 0.037
or
23 and 37 thousandths
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1.1 1 1/10 and 1.101 least to greatest
Are θ = πn and θ= π+ πn equivalent?
Eduardo counted 10 seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. If he counted four seconds between the next flash of lightning and hearing thunder, about how far away was the lightning
Eduardo used the time difference between seeing lightning and hearing thunder to determine the distance of the lightning. Given that sound travels a mile every five seconds, the second lightning was 0.8 miles away, based on a time difference of 4 seconds.
Explanation:Eduardo is using a method to measure the distance of lightning by noting the time difference between the visible flash of light and the audible sound of thunder. The speed of light is much faster than the speed of sound, which is why we see lightning before we hear thunder. This method works because it is known that sound travels approximately one mile every five seconds.
So, in Eduardo's first observation, he counted 10 seconds between seeing the lightning and hearing thunder. Given that sound travels a mile every five seconds, the lightning was 10 seconds/5 = 2 miles away.
In the second observation, he counted four seconds between the flash and the thunder. Using the same calculation, this means the lightning was 4 seconds/5 = .8 miles away. This is in agreement with the given information.
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which of the following cannot be classified as a substance a. table salt b. air c. nitrogen d. gold
Among the options given, air cannot be classified as a substance because it is a mixture of gases with variable composition, unlike table salt, nitrogen, and gold, which have constant compositions and are either elements or compounds.
Explanation:The question is asking which of the following cannot be classified as a substance: a) table salt, b) air, c) nitrogen, or d) gold. To answer this, we need to understand what a substance is. A substance is a form of matter with a constant chemical composition and characteristic properties. It can be an element or a compound, but not a homogeneous or heterogeneous mixture. Among the options given:
Table salt (sodium chloride) is a compound, thus it is a substance.Nitrogen is an element, making it a substance as well.Gold is also an element, so it is a substance.Air, however, is a mixture of many gases, primarily nitrogen, oxygen, and other trace gases, and therefore cannot be considered a substance since its composition can vary.Based on these classifications, air is the one that cannot be classified as a substance.
compare 249 and 271. write the greater number in word form
Answer:
two hundred seventy-one
Step-by-step explanation:
Given: Two numbers 249 and 271.
To find: Word form of the greater number.
Solution:
We have two numbers 249 and 271.
To find the greater number, we need to compare the two numbers.
To compare the two numbers first of all we will compare the hundreds digit.
The hundreds digit of both the numbers is same that is 2.
Now, we will compare the tens digit of the two numbers.
The tens digit of the number 249 is 4 and the tens digit of the number 271 is 7.
As 7 is greater than 4.
271 is greater than 249.
Now, the word form of 271 is two hundred seventy-one.
I need help on this problem
Bert is planning to open a savings account that earns 1.6% simple interest yearly. He wants to earn exactly $192 in interest after 2 years. How much money should he deposit? A. $600 B. $60 C. $6,000 D. $3,072
Answer:
C. $6,000
Sorry this is late, this is 7th grade work and I wasn't in 7th till this year
Yeah welcome to 2020
A 6-pack carton of sport drink bottles at the local grocery store is labeled as 13.48 oz. What is the weight of the carton rounded to the nearest tenth of an ounce?
A. 13.0 oz.
B. 13.2 oz.
C. 13.5 oz.
D. 14.0 oz.
The Weight of water is 62 1/2 lb per cubic foot how many cubic feet would be occupied by 235 lb of water
A computer programmer charges $45 an hour for coding projects plus a start up fee of $150.
Write an equation in standard form to represent the total cost t of a project that takes h hours.
An equation in standard form is C(t) = 150 + 45t
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here, A computer programmer charges $45 an hour for coding projects plus a start-up fee of $150. Let t be the time in hours then we can construct an equation as C(t) = 150 + 45t
Hence, An equation in standard form representing the information is C(t) = 150 + 45t
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A triangle has an area of 10.5 square feet. The base of the triangle is 6 feet. What is the height?
Answer:3.5
Step-by-step explanation:
Starting at 1:00 p.m., the temperature changes −4 degrees Fahrenheit per hour. It is 35°F at 1:00 p.m.. Write and solve an equation to find how many hours x it will take to reach −1°F.
An equation is
It will take _ hours to reach −1°F.
To find how many hours it will take to reach -1°F starting from 1:00 p.m., where the temperature changes -4 degrees Fahrenheit per hour, we can set up an equation. The equation is 35 - 4x = -1. Solving for x, we find that it will take 9 hours to reach -1°F.
Explanation:To find how many hours it will take to reach -1°F starting from 1:00 p.m., where the temperature changes -4 degrees Fahrenheit per hour, we can set up an equation. Let x represent the number of hours it takes.
The initial temperature is 35°F at 1:00 p.m. If the temperature changes -4 degrees per hour, then the equation can be written as: 35 - 4x = -1.
To solve the equation, we can first subtract 35 from both sides to isolate -4x. This gives us: -4x = -36.Next, we can divide both sides of the equation by -4 to solve for x. This gives us: x = -36 / -4 = 9.So, it will take 9 hours to reach -1°F starting from 1:00 p.m.
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9.086 minus 2.419 rounded to the nearest one
A pair of shoes weighs 650 grams.How many decigrams does it weigh?
I need to know what the term 8 means or represents in this expression
Jenna calculated several numbers in her calculator. The result displayed 1.8E-4 on the calculator screen. Which equivalent number(s) does this represent?
Select all that apply.
18 × 104
-0.00018
0.00018
1800
1.8 × 10-4
WILL MARK BEST ANSWER!
Answer:
0.00018 and 1.8 × 10-4
Step-by-step explanation:
Jenna calculated several numbers in her calculator. The result displayed 1.8E-4 on the calculator screen.
1.8E^-4 means there are 3 zeroes after decimal then 18. When a value is very less than zero then the calculator shows that in E form. When we move the decimal to the left, it adds 1 to our exponent.
So, the correct answers are :
0.00018 and 1.8 × 10-4
1.8 × 10-4 = [tex]\frac{1.8}{10000}= 0.00018[/tex]
josie has $47 left on her checking account.If she writes a check for $55 ,what will josies balance be?
Which is the most accurate way to estimate 25% of 69?
Subtract using the number line.
−113−16
−1 5/6
−1 1/2
−1 1/6
1 1/2
The value of -1 1/3 - 1/6 is -1 1/2.
Option B is our correct answer.
Given,
-1 1/3 - 1/6
We need to find the value.
What is a fraction?A fraction contains two parts:
Numerator and denominator.
Fraction = Numerator / Denominator
How do subtract fractions?Example:
2/3 - 2/4
We will find the LCM of 3 and 4.
= (2x4 - 2x3) / 12
= (8 - 6) / 12
= 2 / 12
= 1/6
How to convert a fraction into a mixed fraction?Example:
b/a
a x m + n = b
= [tex]m\frac{n}{a}[/tex]
Find -1 1/3 - 1/6
We can write -1 1/3 as:
= - 4/3
Now,
-4/3 - 1/6
=( -4x2 - 1) / 6
= (-8 - 1 ) / 6
= -9 / 6
= -3x3 / 3x2
= -3/2
Converting into a mixed fraction.
= -1 [tex]\frac{1}{2}[/tex]
Thus the value of -1 1/3 - 1/6 is -1 1/2.
Option B is our correct answer.
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What is the equation of this graphed line?
math question down below
jim is at his house, and his car has 25 miles until it runs out of gas. would jim be able to make it from his house to the grocery store and back without stopping for gas? explain.
Answer:
No
Step-by-step explanation:
It would take 13 Miles to go to the store and 13 to go back. He only has 25 Miles so he would go over by 1.
a² + b² = c²
5² + 12² =
√169
c = 13
13 + 13 = 26 , He will not make it to to and back.
(I have this question as well so I already have the coordinate plane)
Jim would take 13 Miles to go to the store and 13 to go back. He only has 25 Miles so he would go over by 1.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that jim is at his house, and his car has 25 miles until it runs out of gas.
We need to check whether jim be able to make it from his house to the grocery store and back without stopping for gas.
This we can find by using Pythagoras theorem.
a² + b² = c²
5² + 12² =√169
c = 13
13 + 13 = 26 ,
Hence, It would take 13 Miles to go to the store and 13 to go back. He only has 25 Miles so he would go over by 1.
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30. The perimeter of a rectangle is 292 feet. The length of the rectangle is 4 feet less than 5 times the width. What is the length and width of the rectangle? a. length = 121, width = 25b. length = 114.3, width = 23.7 c. length = 25, width = 121d. length = 121.7, width = 24.3
How much is 2.1x 82
Sara watched the pump at the gas station dispense gas at a rate of ½ gallon every 3 ¼ seconds. How long will it take, in seconds, to put 50 gallons of gas in the RV? Justify your reasoning by using the UNIT RATE
a robot can complete 8 tasks in 5/6 hour. each task takes the same amount of time.
a. how long does it take the robot to complete the task?
b. how many tasks can the robot complete in one hour?
Answer:
A robot can complete 8 tasks in hour = [tex]\frac{5}{6}[/tex]
A robot can complete 1 task in hour = [tex]\frac{\frac{5}{6}}{8}[/tex]
A robot can complete 1 task in hour = [tex]\frac{5}{48}[/tex]
So, it take [tex]\frac{5}{48}[/tex] hours the robot to complete the task
A robot can complete tasks in [tex]\frac{5}{6}[/tex] hour = 8
A robot can complete tasks in 1 hour = [tex]\frac{8}{\frac{5}{6}}[/tex]
=[tex]9.6[/tex]
So, the robot complete 9 tasks in one hour.