To fill the entire pool we will 2,255 need gallons of water.
What is volume?Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.
Given, A family is filling up a circular pool. The pool has a depth of 6 feet and a diameter of 8 feet.
From the general formula of the volume of a cylinder,
Volume = pi × radius² × height
In our case,
radius = 8/2 = 4
Height = 6
Thus, Volume = 3.14 × 4 × 4 × 6
The volume of the Pool = 301.44 Cubic foot
Since there are 7.48 gallons of water in a cubic foot
Thus,
The volume of the pool in gallons = 301.44 × 7.48
The volume of the pool in gallons = 2,254.77
Therefore, to fill the entire pool we will 2,255 need gallons of water.
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Answer:
To fill the entire pool we will 2,255 need gallons of water.
Step-by-step explanation:
Drako found an emerald in a cave at a depth between Negative one-half and Negative 1 and two-thirds meters. Which number could represent the depth at which the emerald is located?
Answer:
Negative 1 and three-fifths meters
estimate the line of best fit using two points on the line
Answer:
\(y=-8x+80\)
Step-by-step explanation:
\(Slope=\frac{y_2-y_1}{x_2-x_1}=\frac{32-64}{6-2}=\frac{-32}{4}=-8\)
\(y=mx+b\)
\(y=-8x+b\)
\(64=-8(2)+b\)
\(64=-16+b\)
\(80=b\)
Therefore, the estimated line of best fit is \(y=-8x+80\)
Please help me fast please
Answer:
11
Step-by-step explanation:
Angle OKL is also angle 12. The only angle number that is adjacent, or shares a side with 12 is angle 11.
The fifth grade has 152 students. Each student has 18
pencils. About how many pencils do the students have altogether?
There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Total number of students in 5th grade = 152
Amount of pencil each student have = 18
Then, the total number of pencils altogether,
= 152 × 18
= 2,736 pencils.
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A circle has an area of 452.3893. What is the radius? (round to the nearest whole number)
The radius is 12. (Equation used: r=\(\sqrt{\frac{a}{\pi } }\))
Nonverbal instruments have been developed primarily in an attempt to:a. assess skill related to mathematics.b. control for the influences of language and culture.c. measure children's pre-reading skills.d. assess issues that individuals cannot verbalize.
Nonverbal instruments have been developed primarily in an attempt to d. assess issues that individuals cannot verbalize.
The answer is d. Nonverbal instruments have been developed primarily to assess issues that individuals cannot verbalize. These instruments are often used in psychology and educational assessments to measure skills and abilities in areas such as mathematics, language, and pre-reading skills, while controlling for the influences of language and culture. Nonverbal instruments can be particularly useful for individuals who struggle with verbal communication or have language barriers.
The exchange of information between people without the use of spoken or written language is referred to as nonverbal communication. Facial expressions, eye contact, gestures, posture, body movements, tone of voice, and even the use of time and space are all included in this broad category of behaviors.
A lot of information about a person's emotional state, intentions, attitudes, and personality traits can be communicated nonverbally. A person's posture and body language, for instance, might show whether they are feeling confident or uneasy, and their tone of voice and facial expressions can show whether they are happy, angry, or sad.
A crucial component of human contact is nonverbal communication since it can improve our ability to understand others, establish rapport, and communicate.
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find the value of x
-3=16-x
Answer:
Step-by-step explanation:I don't say you have to mark my ans as brainliest but if you think it has really helped you plz don't forget to thank me...
Solve the following system by Gauss-Jordan elimination. 2x19x2 +27x3 = 25 6x1+28x2 +85x3 = 77 NOTE: Give the exact answer, using fractions if necessary. Assign the free variable x3 the arbitrary value t. X1 x2 = x3 = t
Therefore, the solution of the system is:
x1 = (4569 - 129t)/522
x2 = (161/261)t - (172/261)
x3 = t
The system of equations is:
2x1 + 9x2 + 2x3 = 25
(1)
6x1 + 28x2 + 85x3 = 77
(2)
First, let's eliminate the coefficient 6 of x1 in the second equation. We multiply the first equation by 3 to get 6x1, and then subtract it from the second equation.
2x1 + 9x2 + 2x3 = 25 (1) -6(2x1 + 9x2 + 2x3 = 25 (1))
(3) gives:
2x1 + 9x2 + 2x3 = 25 (1)-10x2 - 55x3 = -73 (3)
Next, eliminate the coefficient -10 of x2 in equation (3) by multiplying equation (1) by 10/9, and then subtracting it from (3).2x1 + 9x2 + 2x3 = 25 (1)-(20/9)x1 - 20x2 - (20/9)x3 = -250/9 (4) gives:2x1 + 9x2 + 2x3 = 25 (1)29x2 + (161/9)x3 = 172/9 (4)
The last equation can be written as follows:
29x2 = (161/9)x3 - 172/9orx2 = (161/261)x3 - (172/261)Let x3 = t. Then we have:
x2 = (161/261)t - (172/261)
Now, let's substitute the expression for x2 into equation (1) and solve for x1:
2x1 + 9[(161/261)t - (172/261)] + 2t = 25
Multiplying by 261 to clear denominators and simplifying, we obtain:
522x1 + 129t = 4569
or
x1 = (4569 - 129t)/522
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multiply each sides by what?
-8x(_)=-3(_)
Answer:
-8 × 3 = - 3 × ( 8)
or -21 = -21
Answer:
-21
Step-by-step explanation:
rewrite the quadratic function into vertex form by completing the square y=-2x^2-3x-5
Question 8 of 25 Ajar contains 40 dimes and nickels. The total value of the coins is $2.25. If d = the number of dimes and n= the number of nickels, this is the system of equations din = 40 0.0d + 0.05n = 2.25 How many of each type of coin are there? Solve the system to answer the question
A. 35 dimes and five nickels
B 5 dimes and 35 nickels
C 20 dimes and 20 nickels
D 10 dimes and 30 nickels
Answer:
Hello,
Answer A: 35 dimes and 5 nickels
Step-by-step explanation:
Let say
d the number of dimes
n the number of nickels
There are 25 coins: d+n=25
Total value : 0.1*d+0.05n=2.25
\(\left\{\begin {array} {ccc}d+n&=&40\\10*d+5*n&=&225\ multiplied\ by\ 100\\\end {array}\right.\\\\\\\left\{\begin {array} {ccc}n&=&40-d\\10*d+5*(40-d)&=&225\\\end {array}\right.\\\\\\\left\{\begin {array} {ccc}5*d&=&225-200\\n&=&40-d\\\end {array}\right.\\\\\\\left\{\begin {array} {ccc}5*d&=&25\\n&=&40-5\\\end {array}\right.\\\\\\\left\{\begin {array} {ccc}d&=&5\\n&=&35\\\end {array}\right.\\\\Proof:\\5*0.1+35*0.05=0.5+1.75=2.25\\\)
Answer this for me please
Answer:
-3
Step-by-step explanation:
You cant count the spaces up (9) and over (-3) between the two points and do up/over so it would be 9/-3 and simplified that is -3/1 or 3
50 points please help!!
The graph of the linear equation y = (1/4)*x - 1 is on the image at the end.
How to graph a linear equation?To graph the line, we need to find two points that belong to the line, and then we can connect them with a line.
So let's evaluate the linear equation.
if x = 0
y = (1/4)*0 - 1 = -1
We have the point (0, -1)
Now let's get another point:
if x = 4
y = (1/4)*4 - 1 = 4 - 1 = 3
We have the point (4, 3)
Now graph these two points and draw a line that connects them.
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Both of the models shown are made up of 1 inch cubes. Which statement about these models is true?
Since both of the models shown are made up of 1-inch cubes a statement about these models that is true include the following: B. The volume of Model F is 6 cubic inches greater than the volume of Model G.
How to calculate the volume of a cube?In Mathematics and Geometry, the volume of a cube is calculated by using this following formula:
V = m³
Where:
V represent the volume of a cube.m represent the side lengths of a cube.By substituting the given side length into the volume of a cube formula, the volume of Model F can be calculated as follows;
Volume of Model F = 24(1)³
Volume of Model F = 24 in³
Similarly, the volume of Model F can be calculated as follows;
Volume of Model G = 18(1)³
Volume of Model G = 18 in³
Difference = 24 in³ - 18 in³
Difference = 6 in³.
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Complete Question:
Both of the models shown are made up of 1-inch cubes. Which statement about these models is true?
A. The volume of Model F and Model G combined is 40 cubic inches.
B. The volume of Model F is 6 cubic inches greater than the volume of Model G.
C. Model G has a greater volume than Model F.
D. Model F and Model G have the same volume.
How would you describe exponential growth and exponential decay to someone unfamiliar with these phrases?
Answer:
To put it simply, exponential growth is the rapid increase of a quantity over time, while exponential decay refers to the quick decrease of an amount over time.
Step-by-step explanation:
Hope it helps:)
Answer:
Exponential growth is when a quantity increase very quickly.
Exponential decay does the opposite; it decreases very quickly.
Step-by-step explanation:
for example: exponential growth would be a population of mice rises exponentially by a factor of two every year starting with 2 in the first year, then 4 in the second year, 8 in the third year, 16 in the fourth year, and so on
for example: exponential decay a company earns $144 in the first year, then decreases to $72, then $36 and so on and so forth.
have a great day and thx for your inquiry :)
Mara thinks x< 6 will earn the highest score here.
David thinks x < 6 will.
Who is correct?
This question was not correctly written
Correct Question
Mara thinks x ≤ 6 will earn the highest score here.
David thinks x < 6 will.
Who is correct?
Answer:
Mara is correct
Step-by-step explanation:
In the above question, we are given two inequality equations
1) Mara: x ≤ 6
2) David : x < 6
For David , x < 6 means the score which is represented by x is less than 6
For Mara, x ≤ 6 means the score which is represented by x is less than or equal to 6
Therefore, Mara is correct because x ≤ 6 will earn the highest score here.
Which of the following is a polynomial?
Answer:
i think option d is the correct answer of this question.
2x+1<9
Compound inequality
Answer:
x < 4
Step-by-step explanation:
2x+1<9
Subtract 1 from each side
2x+1-1<9-1
2x< 8
Divide by 2
2x/2 <8/2
x < 4
There are 128 competitors in a tennis tournament. If Milo places in the 85th percentile, how many people
placed above him in the final rankings?
A)109
B)21
C)103
D)19
round 3.19 to the nearest 1
Answer:
3
Step-by-step explanation:
When they say to round to the nearest 1, another way to say it is to round to the nearest integer. 3 is closer to 3.19 than 4 is to 3.19.
Answer:
The answer is 3
Step-by-step explanation:
To help know what number to round to, see if the number is lesser or greater than 5. If it is equal to 5 or more, round up. If it is less that 5, round down
Hope this helps!!
3 8 of your income is spent on your monthly bills, 2 5 is spent on food and clothing and 1 10 goes on entertainment. You put the remainder of your monthly income into savings.
Answer:
Fraction of saving = 1/8
Step-by-step explanation:
Given:
Spent on bills = 3/8
Spend on food = 2/5
Spend on entertainment = 1/10
Find:
Fraction of saving
Computation:
Fraction of saving = 1 - Spent on bills - Spend on food - Spend on entertainment
Fraction of saving = 1 - 3/8 - 2/5 - 1/10
By taking LCM
Fraction of saving = [40 - 15 - 16 - 4]/40
Fraction of saving = [5]/40
Fraction of saving = 1/8
In college basketball, a turnover is defined as losing possession of the basketball to the opposing team. During a recent basketball season, a certain college team averaged 18 turnovers per game. Assume the number of turnovers per game follows the Poisson distribution. Complete parts a through d. a. What is the probability that the team will have exactly 8 turnovers during a game?
The probability that the team will have exactly 8 turnovers during a game is approximately 0.035 or 3.5%.
Given that the number of turnovers per game follows the Poisson distribution and the team averaged 18 turnovers per game, we can use the Poisson distribution formula to find the probability of the team having exactly 8 turnovers during a game.
The Poisson distribution formula is: P(X = x) = (e^-λ * λ^x) / x!, where λ is the average number of turnovers per game and x is the number of turnovers we want to find the probability for.
a. Using the given information, we have: λ = 18 and x = 8.
Plugging these values into the formula, we get:
P(X = 8) = (e^-18 * 18^8) / 8!
Using a calculator, we can simplify this to:
P(X = 8) ≈ 0.035
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Which of the following is a measure of the reliability of a statistical inference? Answer A descriptive statistic. A significance level. A sample statistic. A population parameter.
The measure of reliability of a statistical inference is the significance level. The significance level, also known as alpha, is the probability of rejecting the null hypothesis when it is actually true. It determines the threshold for accepting or rejecting a hypothesis.
A lower significance level indicates a higher level of confidence in the results. A descriptive statistic provides information about the data, but it does not directly measure the reliability of a statistical inference. It simply summarizes and describes the characteristics of the data.
A sample statistic is a numerical value calculated from a sample, such as the mean or standard deviation. While it can be used to make inferences about the population, it does not measure the reliability of those inferences.
A population parameter is a numerical value that describes a population, such as the population mean or proportion.
While it provides information about the population, it does not measure the reliability of inferences made from a sample. In conclusion, the significance level is the measure of reliability in a statistical inference as it determines the probability of making a Type I error, which is rejecting the null hypothesis when it is actually true.
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translate phrases and sentences into expressions, equations and inequalities
translating phrases and sentences into expressions, equations, and inequalities is an important skill in mathematics. It involves identifying key words and phrases that indicate mathematical operations and relationships. By understanding these key words, we can represent real-world problems using mathematical language and symbols, making it easier to solve and analyze them.
translating phrases and sentences into expressions, equations, and inequalities
When solving mathematical problems, it is often necessary to translate phrases and sentences into mathematical expressions, equations, and inequalities. This process involves identifying key words and phrases that indicate mathematical operations and relationships.
For example, let's consider the following sentence:
'The sum of a number and 5 is equal to 12.'
In this sentence, the key words 'sum,' 'number,' 'equal to,' and '12' indicate that we need to perform addition and find the value of the unknown number. We can represent this sentence as the following equation:
x + 5 = 12
Here, 'x' represents the unknown number.
Similarly, let's consider the following sentence:
'Twice a number decreased by 7 is greater than 15.'
In this sentence, the key words 'twice,' 'decreased by,' 'greater than,' and '15' indicate that we need to perform multiplication, subtraction, and comparison. We can represent this sentence as the following inequality:
2x - 7 > 15
Here, 'x' represents the unknown number.
By understanding key words and phrases, we can effectively translate real-world problems into mathematical language and solve them using expressions, equations, and inequalities.
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1) An inequality to represent the given phrase is 5q>30.
2) An equation to represent the given phrase is 2b²=8.
1) The given phrase is "The product of 5 and q is greater than 30."
Here, the product of 5 and q = 5×q
= 5q
Now, the product is greater than 30.
Thus, 5q>30
q>30/5
q>6
2) The given phrase is "Twice the square of b is equal to 8."
Here, the square of b = b×b
= b²
Twice the square of b = 2b²
So, the product is equal to 8.
That is. 2b²=8
b²=4
b=±2
Therefore,
1) An inequality to represent the given phrase is 5q>30.
2) An equation to represent the given phrase is 2b²=8.
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"Your question is incomplete, probably the complete question/missing part is:"
Translate phrases and sentences into expressions, equations and inequalities.
1) The product of 5 and q is greater than 30.
2) Twice the square of b is equal to 8.
Which rational number equals 0 point 1 with bar over 1?
See attachment for math work and answer.
GEOMETRY HELP PLEASE
Answer:
x=9.79
here's your answer
Which graph represents − 12 x − 6 y ≥ 5
Answer:
its 12
Step-by-step explanation:
Your answer is the image below.
To graph this inequality, Rearrange the Y so everything right is now left, and then plot Y on a number line. Lastly, shade or leave the circle open or closed.
Greater than or less to = OPEN circle (Not shaded)
Greater and/or less than or equal to = CLOSED circle (Shaded)
There are 11 animals in a barnyard. Some are chickens and some are cows. There are 38 legs in all. Let x be the number of chickens and y be the number of cows. How many of each animal are in the barnyard
The equations in the system are:x + y = 11 ......(1)2x + 4y = 38 .....(2)where, x is the number of chickens and y is the number of cows.
The given problem is a system of linear equations in two variables. Now, solve the system of equations by elimination method: Multiply equation (1) by 2. We get:2(x + y = 11) => 2x + 2y = 22 ......(3)Now, subtract equation (3) from equation (2). We get:2x + 4y = 38- (2x + 2y = 22)2y = 16y = 8
Therefore, there are 8 cows in the barnyard.Put y = 8 in equation (1). We get:x + 8 = 11x = 11 - 8x = 3 Therefore, there are 3 chickens in the barnyard. there are 3 chickens and 8 cows in the barnyard.
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Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
label sides adjacent h and o
sin(30) times 12 = 6 = 10
biking talula got a new bicycle lock that has a four-number combination. each number in the combination is from 0 to 9. a. how many combinations are possible if there are no restrictions on the number of times talula can use each number?
There are 10,000 possible combinations if there are no restrictions on the number of times talula can use each number.
since the lock has four number positions and each position can have any number from 0 to 9, we can use the multiplication principle to determine the total number of possible combinations:
10 options for the first position x 10 options for the second position x 10 options for the third position x 10 options for the fourth position
this gives us:
10 x 10 x 10 x 10 = 10,000
biking talula got a new bicycle lock that has a four-number combination. each number in the combination is from 0 to 9. a. how many combinations are possible
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