A cylindrical vase has a diameter of 6 inches and a height of 8 inches. The vase already contains 20 cubic inches of water. A faucet can fill the vase at
a rate of 8 cubic inches per second.
To the nearest second, how long will it take the faucet to fill the vase? Enter the answer in the box.
Use the info
seconds
In 25.76 seconds we will fill the total volume of the cylinder.
how long will it take the faucet to fill the vase?The total volume of the cylinder is given by the equation:
V = pi*R^2*H
Where pi = 3.14, R is the radius and H is the height.
Here we know that the diameter is 6 inches, then the radius is:
R= 6in/2 = 3in
And the height is 8 inches, then the volume is:
V = 3.14*(3in)^2*8in = 226.08 in^3
We already have 20 cubic inches of water there, so what we need to fill is:
226.08 in^3 - 20in^3 = 206.08in^3
If we fill it at a rate of 8in^3/s, the time in which we will completely fill the cylinder is:
T = 206.08in^3/8in^3/s = 25.76s
In 25.76 seconds we will fill the total volume of the cylinder.
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Please help!! Will mark brainliest
Answer:
100°
meron po bang D Wala namn ah
Please help need to finish in an hour!
your question is wrong to make sure
(−7 + 4.6p) + (11.3p − 6)
Answer:
15.9p-13
Step-by-step explanation:
Answer:
15.9p-13
Step-by-step explanation:
i had this question and got it right
ST
Problem number 26 of the Rhind Papyrus says:
Find a quantity such that when it is added to of itself
the result is a 15.
The modern day equation that models this problem is
x+x=15.
What is the solution to the equation?
O x = 10
x = 12
x = 15
x = 30
Step-by-step explanation:
please make sure that fractions are still in the problem text after scanning it.
because they are missing here, and I have to guess around.
Basically the problem is
x + 1/a × x = 15
that means
ax + x = 15a
(a+1)x = 15a
x = 15a/(a+1)
for a = 2 (so, 1/2 x is added to x), we get
x = 15×2/3 = 30/3 = 10
for a = 4 (1/4 of x is added to x), we get
x = 15×4/5 = 60/5 = 12
these are also the first 2 answer options. so, please pick the one that fits the complete problem definition.
the 3rd and 4th answer options are nonsense anyway, as when you add something greater than 0 to x and get 15, then the initial x cannot be already 15 or even bigger.
The table below represents the amount, in grams, of a substance remaining after t years.
Answer:
D
Step-by-step explanation:
The equation we'd use for this problem is y=a(1-b)^x (exponential decrease)
a is the initial amount, the number in the parentheses is the amount it decreases by, and x is time.
The initial amount is 8,500 since that is what we start with after 0 years. By looking at the chart we can see that the number decreases over time by a constant rate of .5, so that is the number in the parentheses. You then end the equation with ^t since t would be time in years
:D
Write the decimal equivalents of these two fractions: and .
The decimal equivalent of is
, and the decimal equivalent of is
.
The fraction 1/8 in decimal form is 0.125, and the fraction 3/4 in decimal form is 0.75.
Given two fractions are there 1/8 and 3/4?
We have to calculate those fractions into decimal form as below.
1/8 3/4
= 8) 10 (0.125 = 4) 30 (0.75
8 28
------- ---------
20 20
16 20
-------- ------------
40 0
40
---------------
0
Therefore, the fraction 1/8 in decimal form is 0.125, and the fraction 3/4 in decimal form is 0.75.
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The question is incomplete. Please find the complete question below:
Write the decimal equivalents of these two fractions: 1/8 and 3/4
The decimal equivalent of 1/8 is 1.25, 0.125, or 0.0125, and the decimal equivalent of 3/4 is 7.5, 0.75, or 0.075
Which of the following is the solution set of the
problem?
O (-∞, -3)
(-∞, -3]
O
[-3,00)
O (-3,00)
DONE
The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;
(-∞, -3]How can the solution set of an inequality be found?A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;
2•x + 3 ≤ -3Solving the above inequality, we have;
2•x + 3 ≤ -3
2•x ≤ -3 - 3 = -6
2•x ≤ -6
Therefore;
x ≤ -6 ÷ 2 = -3
x ≤ -3
Which gives;
-∞ < x ≤ -3-∞ < x ≤ -3 in interval notation is (-∞, -3]
The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;
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Help I don’t know how to do this
Answer:
∠1 is 101 ∠4 is 79 and ∠2 is 79
Step-by-step explanation:
This is because ∠1 is a vertical angle of ∠3 so they have the same angle
For ∠4 and ∠2 you would do 101-180 because they are supplementary do they add up to 180
how many solutions are there to the equation below? 5x+48+7x=12(x+4) A) 1 B) infinitely many C) 0
Answer: Thus answer is "B"
Step-by-step explanation: Because you can move around and combine different numbers to get a different answer.
The sum of three consecutive odd integers is 45. Find the va
three.
Answer:
Submit Answer
Answer:
The three integers are:-17,-15,-13
Answer:
13, 15, 17 (the set)
Step-by-step explanation:
To find the middle number, you just divide 45 by 3 since you have three consecutive digits.
45/3 = 15 = the middle number
13, 15, 17 (+2, and -2 from 15 since has to be odd)
Checking work:
13+15+17 = 45
How many whole numbers lie between 237 and 143?
Answer:
93
Step-by-step explanation:
143 —————>233 = 90
233 —————>237 = 3
90 + 3 = 93
The number of the whole numbers lying between 237 and 143 will be 94.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Zero, a consistently positive number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive values are negative in value. The set of integers is frequently represented in mathematical notation by the big bold letters Z.
The number of the whole numbers lying between 237 and 143 will be given by the subtraction of the numbers from 237 to 143. Then we have
⇒ 237 - 143
⇒ 94
The number of the whole numbers lying between 237 and 143 will be 94.
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What is the sign of
−289 + 311?
Answer:
it is positive
Step-by-step explanation:
-289+311=22 which is a positive number
Blinn College charges $166 per credit hour, you plan to take 13 hours per semester, how much will your tuition cost for a full academic year?
Answer:
$4,316
Step-by-step explanation:
Semester one: $166 per credit times 13 hours = $2,158
Semester two: $166 per credit times 13 hours = $2,158
Cost for semester one plus semester two = $4,316
Find the value of x, given that m4 POS = 119°.
Answer: x=4.7°
Step-by-step explanation:
[tex]m\angle PQS=119^0\\\angle PQR+\angle RQS=\angle PQS\\72^0+(10x)^0=119^0\\72^0+(10x)^0-72^0=119^0-72^0\\10(x^0)=47^0\\[/tex]
Divide both parts of the equation by 10:
[tex]x=4.7^0[/tex]
which value is an irrational number? a. 4/19 b. the square root of 200 c. the square root of seven over the square root of seven d. -0.58 repeated
Answer:
B. √200
Step-by-step explanation:
An irrational number is a number that excludes single-point decimals but includes integers and fractions. A square root is a repeating decimal(Most of the time), therefore, this is an irrational number.
-w + 4(w + 3) = -12
Answer:
Step-by-step explanation:
-w + 4(w + 3) = -12
Expand: -w + 4w + 12 = -12
3w + 12 = -12
3w = -12-12
3w = -24
w = -8
△FGH represents an artist's initial work on a design for a new postage stamp. What must be the values of x, y, and z in order for the artist's stamp to be congruent to △ABC?
The values of x, y, and z in order for the artist's stamp to be congruent to △ABC is 15, 6, and 4 respectively
Given data
The two triangle that has the values are attached:
How to find the value of x, y, and z to make the triangles congruentThe value of x
( 2x + 6 ) mm = 36 mm
2x mm = ( 36 - 6 ) mm
2x mm = 30 mm
x = 30 / 2 mm
x = 15 mm
The value of y
( 6y ) mm = 36 mm
y = 36 / 6 mm
y = 6 mm
The value of z
( 3z + 39 ) mm = 51 mm
3z mm = ( 51 - 39 ) mm
3z mm = 12 mm
z = 12 / 3 mm
z = 4 mm
Therefore, the values of x, y, and z in order for the artist's stamp to be congruent to △ABC is 15, 6, and 4 respectively
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complete question
The complete question is attached
what's the most specific subset of real numbers that the following number belongs in? 8.34
1. rational
2. integer
3. whole
4. irrational
Answer:
1. rational
Step-by-step explanation:
8.34 ==> rational since it had a finite number of digits.
8.34 ==> not an integer since it has a decimal point.
8.34 ==> not a whole number since it has a decimal point.
8.34 ==> not irrational since it had a finite number of digits.
Hence, 8.34 is rational.
Please help me with the photo below thanks
Answer:
A) -12-4-5
B) X^2-X
Step-by-step explanation:
..
..
in a sample of 200 households, the mean number of hours spent on social networking sites during the month of january was 55 hours. in a much larger study, the standard deviation was determined to be 7 hours. assume the population standard deviation is the same. what is the 99% confidence interval for the mean hours devoted to social networking in january? (2 points) the 99% confidence interval ranges from 53.73 to 56.27 hours. the 99% confidence interval ranges from 7 to 55 hours. the 99% confidence interval ranges from 54.51 to 55.49. the 99% confidence interval ranges from 55 to 60 hours.
The correct option is A) The 99% confidence interval ranges from 53.73 to 56.27 hours.
The 99% confidence interval for the mean hours devoted to social networking in January ranges from 53.73 to 56.27 hours.
What is confidence interval?In statistics, a confidence interval denotes the likelihood that a population parameter would then fall between two specified values.
A confidence interval is a set of values bounded both above and below the mean of a statistic that are likely to contain an unknown parameter. The proportion of probability, or predictability, that the confidence interval will contain the real population parameter when a random sample is drawn many times is referred to as the confidence level.sample size 'n' =200
Mean 'x' = 55 hours
Standard deviation (Population) = 7 hours
For 99% confidence level
Z critical value = 2.58
Margin of error = ±2.58(std error)
Now, compute the standard error
Standard error = 7/√n
=7/√200
= 0.495
Thus, margin of error = ±0.495(258) = 1.28
Now, calculate the Confidence interval;
Confidence interval = (55 - 1.28, 55 + 1.28)
= (53.72, 56.28)
Confidence interval = (53.73, 56.27) [approx.]
Therefore, the confidence level lies between 53.73, 56.27) [approx.]
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The correct question is-
In a sample of 200 households, the mean number of hours spent on social networking sites during the month of January was 55 hours. In a much larger study, the standard deviation was determined to be 7 hours. Assume the population standard deviation is the same. What is the 99% confidence interval for the mean hours devoted to social networking in January?
A) The 99% confidence interval ranges from 53.73 to 56.27 hours.
B) The 99% confidence interval ranges from 7 to 55 hours.
C) The 99% confidence interval ranges from 54.51 to 55.49 hours.
D) The 99% confidence interval ranges from 55 to 60 hours.
4. The figure below is a rectangle. What is the value of x?
Hint: opposite sides of a rectangle are congruent
3(x + 4)
5x-9
Answer:
3(x+4)=5x-9
or,3x+12=5x-9
or,12+9=5x-3x
or,21=2x
orx=21/2
x=10.5
The value of x from the given rectangle is 10.5 units.
The opposite sides of a rectangle are 3(x+4) and 5x-9.
What is a rectangle?A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.
Now, the opposite sides of a rectangle are congruent
So, 3(x+4) = 5x-9
⇒ 3x+12=5x-9
⇒ 5x-3x=12+9
⇒ 2x=21
⇒ x=10.5 units
Therefore, the value of x from the given rectangle is 10.5 units.
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Hassan's soccer team is trying to raise $688 to travel to a tournament in Florida, so they decided to host a pancake breakfast. Each person must pay $43 for the breakfast. How many people need to attend their breakfast in order to raise $688?
Answer: 182
Step-by-step explanation:
What are the roots of the equation? 3x^2=7x+2 3x 2 =7x+2
Quadratic equations are equations that has a leading degree of 2. The solution to the given quadratic equation are 1/3 and 2
Solving linear equationQuadratic equation are equation that has a leading degree of 2. Given the quadratic equation as shown:
3x^2=7x+2
Equate to zero to have:
3x² - 7x + 2 = 0
Factorize
3x² - 6x - x +2 = 0
3x(x-2) - 1(x- 2) = 0
Group
(3x-1)(x-2) = 0
3x - 1 = 0 and x - 2 = 0
Determine the values of x
3x = 1 and x = 2
x = 1/3 and 2
Hence the solution to the given quadratic equation are 1/3 and 2
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answer this question
Work Shown:
f(x) = -x - 6
f(-x) = -(-x)-6
f(-x) = x-6
g(x) = f(-x)
g(x) = x-6
Explanation:
I replaced every x with -x to reflect the point over the y axis.
For example, the point (2,3) reflects to (-2, 3)
Café 103 is collinear with and halfway between the Metrics School and the
Angles Lab. The Metrics School is located at point (2, 6) on a coordinate
plane, and Angles Lab is at point (7, 2). Find the location of Café 103.
The location of Café 103 is (4.5, 4)
How to determine the location of Café 103?The given parameters are
Metrics School = (2, 6) on a coordinateAngles Lab = (7, 2) on a coordinateFrom the question, we understand that:
Café 103 is collinear with and halfway between the Metrics School and the Angles Lab.
This means that Café 103 is at the midpoint
So, we have:
Café 103 = 0.5 * (x1 + x2, y1 + y2)
This gives
Café 103 = 0.5 * (2+ 7, 6 + 2)
Evaluate
Café 103 = (4.5, 4)
Hence, the location of Café 103 is (4.5, 4)
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Using the section of the graph shown, which of
these potential roots of the function should you
test first?
f(x) = 2x³-9x² - 6x + 40
Step-by-step explanation:
STEP1:Equation at the end of step 1
(((2 • (x3)) + 32x2) - 6x) - 40
STEP 2 :
Equation at the end of step2:
((2x3 + 32x2) - 6x) - 40
STEP3:Checking for a perfect cube
3.1 2x3+9x2-6x-40 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 2x3+9x2-6x-40
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -6x-40
Group 2: 2x3+9x2
Pull out from each group separately :
Group 1: (3x+20) • (-2)
Group 2: (2x+9) • (x2)
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Use the SOLVE Strategy to solve the problem below.
Wendy has taken two tests with scores of 77 and 80. To get an 82 average, what must her grade be on the third test?
Write and solve an equation to find her third test score. Show your work to explain how you determined her test score.
Rubric :
S - Underline the Question. ( 1 Point )
Answered Question, What is the Problem is asking me to find? ( 2 Points )
O- All Math facts are identified. ( 2 Points )
Unnecessary facts are eliminated. ( 2 Points)
All Necessary Facts are listed: ( 1 Point)
L- Use of correct operations . ( 2 Points )
Representation of the unknown. ( 2 Points)
Explained in a logical and sequential order. ( 2 Points)
V- Make estimation . ( 2 Points )
Number sentence matches plan for L. ( 2 Points)
Computation is correct . ( 2 Points )
E- Answer written in complete sentence. ( 1 Point )
Sentence Matches S. ( 1 Point )
Answer is correct . ( 1 Point )
Estimate was reasonable for the answer. ( 1 Point )
Answer: wendy should pick S
Step-by-step explanation:
un mesero gana $5 la hora, el sábado ganó $108 en propinas. si él hizo $128 En total cuántas horas trabajo? escribe una ecuasion y responde.
The waiter worked for 4 hours.
The waiter earns $5 an hour.The waiter earned $108 in tips. The waiter made $128 in total.The earnings of the waiter, excluding tips, are total minus the tips.The earnings of the waiter, excluding tips, are $128-$108.The earnings of the waiter, excluding tips, are $20.The Earnings Rate is the amount for each fund computed for each business day that represents the net rate of gain or loss on the assets of that fund.The earnings of the waiter due to work = number of working hours * Earning rate20 = Number of working hours * 5The number of working hours is 20/5.The number of working hours is 4 hours.To learn more about rate, visit :
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How much will a person pay for 1.7 pounds of bananas at a price of $1.36 per pound?
Answer:
A person will pay $2.31 for a 1.7 pound of banana.
Step-by-step explanation:
1.7 pounds of bananas x $1.36 per pound = $2.31
