Answer:
3 hours
Step-by-step explanation:
To solve this we can first find out how many minutes is 1/5th of an hour which is: 12 mins.
Now we know it will take 15 sets of 12 minutes to water the full lawn so we can multiply 15*12 to get our answer.
15*12 = 180
Now we divide 180 (minutes) by 60 (minutes) to find out how many hours that is:
180/60 = 3 hours
Hope this helped! If possible please leave a thanks so I can continue to help out others :),
comment if you have any questions.
Answer:
3 hours
Step-by-step explanation:
1/5 of an hour is 12 minutes.
So 1/15 of a lawn takes 12 minutes to water.
Next you multiply 15, how many times 1/15 of a lawn is watered, and multiply it by 12, the time it takes to water 1/15 of a lawn.
So you would get 180 minutes.
Finally you convert it to hours. To do this, you divide it by 60, how many minutes in and hour, and should get an answer of 3 hours.
Hope this helps!
the cost of dog food varies directly with the number of pounds bought. if 2 lb of dog food cost $5 find the cost of 5 lbs.
A 2.50
B 5.00
C 10.00
D 12.50
Answer:
Step-by-step explanation:
Evaluate the answers, and then you can maybe replace 2 with a variable until you find the cost of 5lbs
Skylar had 12 sphere-shaped pool toys that each have radius of 2 inches. if the toys fill water, how cubic inches of water would it take to fill all 12 toys?
Thus, the volume of total 12 sphere shaped toy is found as: V = 401.88 cubic inches.
Explain about the sphere-shape:The surface of a ball is three-dimensional (3D), just like a sphere.
A sphere is a perfectly round, three-dimensional form, similar to the surface of a ball.
Its surface is smooth and devoid of edges or vertices because every point on it is equally spaced from the centre, or equidistant.
Given data:
Radius of toy r = 2 inchesNumber of toys n = 12Volume of sphere = 4/3 * π * r³
Volume of total 12 sphere shaped toy V = n * 4/3 * π * r³
V = 12 * 4/3 * 3.14 *2³
V = 4 * 4 * π * 8
V = 401.88 cubic inches
Thus, the volume of total 12 sphere shaped toy is found as: V = 401.88 cubic inches.
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The area model shows 2 1 4
What is 2 x 2 1/4?
2 1/2
2 3/4
4 1/4
4 1/2
Answer:
4 1/2
Step-by-step explanation:Because 2x2 =4 and 2x1/4 = 1/2 so it is 4 1/2
The equation that fits the data on a scatterplot of the values of stock QRS has
an r-value of -0.9956. Which best describes the correlation of the graph?
• A. Strong negative correlation
B. No correlation
• C. Weak correlation
• D. Strong positive correlation
SUBMIT
Answer:
Strong Positive Correlation
Answer:
Step-by-step explanation:
strong negative connection dont believe the dummy up
What is the approximate volume of the cylinder? Use 227 for π. Round to the nearest whole.
A cylinder with radius 3 centimeters and height 7 centimeters.
66 cm3
132 cm3
198 cm3
264 cm3
Answer:
The answer is 198cm3.
Step-by-step explanation:
Since the radius is 3 and the height is 7, use V=πr^2h
V=πr^2h=π·3^2·7=197.92034
round to the nearest whole and it gives you 198cm3
Answer:
C
Step-by-step explanation:
198 cm3
HOPE I WAS ABLE TO HELP!
I am confusion help me
Answer:
The answer is the last answer for the multiple choice question.
Step-by-step explanation:
This is due to the fact that when find the surface area of a cylinder, you need to find basically the area all around the figure. There are two bases, which is the circle on the top and bottom. In the first step of the formula, there's only an equation for one of the circle, not two.
Which of the following is equivalent to the expression below?
Answer:
A is true
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
\(\textbf {Allow me to assist you.}\)
\(\textrm {Let's simplify the terms under the radicals.}\)
\(\mathsf {\sqrt{8} - \sqrt{72} + \sqrt{50}}\)
\(\mathsf {\sqrt{2 \times 2^{2}} - \sqrt{2 \times 6^{2}} + \sqrt{2 \times 5^{2}}}\)
\(\mathsf {2\sqrt{2} - 6\sqrt{2} + 5\sqrt{2}}\)
\(\boxed {\sqrt{2}}\)
\(\textbf {The answer is A.}\)
27,813 students took the ACET this year. If only 2,836 students were admitted into the Ateneo among those students, what is the Ateneo’s acceptance rate? a. 7.5% b. 10.2% c. 13.4% d. 9.0%
If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.
How the rate is determined:The rate is the ratio of one value, expression, measurement, or quantity compared to another.
The rate represents the quotient of the numerator and the denominator.
The rate is expressed as a percentage by multiplication with 100.
The number of students who took the ACET this year = 27,813
The number of students who were admitted into the Ateneo = 2,836
The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)
= 10.2%
Thus, we can conclude that the acceptance rate or percentage is Option B.
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Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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Analyze the columns below and complete the instructions that follow. Column A Column B The slope of the line through the points and The slope of the line through the points and Compare the quantity in column A with the quantity in column B. A. The quantity in column A is greater. B. The quantity in column B is greater. C. The quantities in the two columns are equal. D. The quantities in the two columns cannot be compared.
The quantities in the two columns cannot be compared due to the absence of specific point values. D.
The given question presents two columns, Column A and Column B, representing the slopes of lines through different sets of points.
The actual points themselves are not provided in the question.
Without the specific point values, it is not possible to determine the slope values or compare the quantities in Column A and Column B.
The slope of a line is determined by the change in the y-coordinate divided by the change in the x-coordinate between two points.
Since the coordinates of the points are missing, it is impossible to calculate the slopes accurately or make any comparison between the quantities in Column A and Column B.
Without the points, it is not possible to determine the slopes or establish any relationship between the quantities in Column A and Column B.
To draw any conclusions or comparisons, the coordinates of the points through which the lines pass are crucial.
Without that information, we lack the necessary data to assess the slopes and make any meaningful comparison.
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a ball is thrown up vertically. after t seconds, it's height (in feet) is given by the function h (t)=96t-16t^2 . after how long will it reach its maximum height
The time taken to reaches its maximum height is 3s.
In the question,
It is given that,
Height, h(t) = \(96t - 16t^{2}\)
The maximum value of the function is obtained if the first derivative of the function h (t) = 0.
\(\frac{dh(t)}{dt} = 96 - 32t = 0\)
⇒ \(t = 3\)
So, time taken to reach its max height is 3 seconds.
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Find the indicated probability using the standard normal distribution.
The probability using the standard normal distribution 0.96599
In this question, we need to find the indicated probability using the standard normal distribution.
We need to find P(-2.12 < z < 2.12)
P(-2.12 < z < 2.12) = P(2.12) - P(-2.12)
P(z < -2.12 or z > 2.12) = 0.034006
P(z < -2.12) = 0.017003
P(z > 2.12) = 0.017003
so, P(-2.12<x<2.12) = 0.96599
Therefore, the probability using the standard normal distribution 0.96599
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Directions: Select the correct answer from each drop-down menu. Consider the expression below. 12x - 6x + 5 + 4x
If the expression is set equal to 10x + 5, then there would be solution(s).
If the expression is set equal to 10x + 7, then there would be solution(s).
If the expression is set equal to -10x + 5, then there would be solution(s).
Given statement solution is :- If the expression is set equal to 10x + 5, then there would be one solution.
If the expression is set equal to 10x + 7, then there would be no solution.
If the expression is set equal to -10x + 5, then there would be one solution.
If the expression 12x - 6x + 5 + 4x is set equal to 10x + 5, then there would be solution(s).
If the expression is set equal to 10x + 5, then there would be one solution.
If the expression is set equal to 10x + 7, then there would be no solution.
If the expression is set equal to -10x + 5, then there would be one solution.
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which of the following represents the most accurate estimation of 54-16?= 25 30 35 or 40
Answer:
40
Step-by-step explanation:
54-16=38
you round it to the nearest tenth which is 40
y
4
Solve for y.
Then, find the side lengths of the
largest triangle.
Fill in the green blank.
8
X
2
+
2
8
y
y
[?]
X
Enter
Help
Skip
Answer:
y = 4\(\sqrt{5}\) , ? = 10
Step-by-step explanation:
using Pythagoras' identity on the smallest right triangle
x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )
x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)
using Pythagoras' identity on the middle right triangle
y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )
y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)
using Pythagoras' identity on the largest right triangle
?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100
Take square root of both sides
? = \(\sqrt{100}\) = 10
15% OFF!
Gabe wants to buy a dog collar. The sale price is $3.91. What was the original price?
$
the original price was really "x", which oddly enough is the 100%, but today the collar is on sale at 15% off, that means the sale price is 100% - 15% = 85% of the original price, and we happen to know that's $3.91, so
\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} x & 100\\ 3.91& 85 \end{array} \implies \cfrac{x}{3.91}~~=~~\cfrac{100}{85} \\\\\\ \cfrac{x}{3.91} ~~=~~ \cfrac{20}{17}\implies 17x=78.2\implies x=\cfrac{78.2}{17}\implies x=4.6\)
Customers at a gym pay a membership fee to join and then a fee for each class they attend. Here is a graph that represents the scenario.
What is the slope of the line?
The side lengths of a triangle are 4 inches, 6 inches, and 9 inches. Is this triangle a right triangle?
Answer:
No
Step-by-step explanation:
A right triangle needs to have a right angle in this case this triangle does not. The next answer up is a triangle with 6,8, and 10 inches. This would give you a right triangle.
Also, To check if the sides are a right triangle, check if the sum of the squares of the two smaller sides equals the length of the square of the longest side.
I haven't used triangles in a long time..... so I kinda forget but the little I remember I used. Hope this helps!
Answer: No
Step-by-step explanation: The given side lengths of the triangle are 4 inches, 6 inches, and 9 inches. To determine if the triangle is a right triangle, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's check if the given side lengths satisfy the Pythagorean theorem:
Using the Pythagorean theorem, we can calculate the squares of the side lengths:
4^2 = 16
6^2 = 36
9^2 = 81
Now, let's compare the sum of the squares of the two shorter sides to the square of the longest side:
16 + 36 = 52
81 = 81
Since 52 is not equal to 81, the given triangle is not a right triangle.
2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
helpsjdjdjdjcjcjfjfjfjcjfjfjxjff
Answer:
that is right what u have right there
Step-by-step explanation:
PLEASE HELP!!! Given that x and y vary inversely and that y is 24 when x is 8, sketch a graph of this inverse variation function for x > 0.
Note that as x gets larger, y gets smaller, but the product xy remains constant at 192.
What is function?In mathematics, a function is a relationship between two sets, called the domain and the range, such that each element of the domain corresponds to exactly one element of the range. A function takes an input value (or values) and produces an output value (or values) according to a specific rule or formula. The input values are the domain of the function, and the output values are the range of the function. Functions can be represented using equations, graphs, tables, or verbal descriptions. They are used to model relationships between variables in various fields of mathematics, science, engineering, economics, and many other areas.
Here,
If x and y vary inversely, this means that their product is a constant. We can use this fact to find the constant of proportionality k as follows:
k = xy
If we know that y is 24 when x is 8, we can substitute these values into the equation above to solve for k:
k = xy
= 8(24)
= 192
Now we can use this value of k to write the inverse variation function:
xy = 192
or
y = 192/x
To sketch a graph of this function for x > 0, we can plot a few points and connect them with a smooth curve. Here are some points we can use:
(x, y)
(1, 192)
(2, 96)
(4, 48)
(8, 24)
(16, 12)
(24, 8)
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On a test that has a normal distribution, a score of 29 falls three standard deviations above the mean, and a score of 23 falls one standard deviation above the mean. Determine the mean of this test.
The mean of the test is 20.
To determine the mean of the test, we need to use the information provided about the scores falling above the mean in terms of standard deviations.
Let's denote the mean of the test as μ, and the standard deviation as σ.
We are given that a score of 29 falls three standard deviations above the mean, so we can write this as:
29 = μ + 3σ
Similarly, we are told that a score of 23 falls one standard deviation above the mean, which can be expressed as:
23 = μ + σ
Now we have a system of two equations with two variables (μ and σ). We can solve this system of equations to find the values of μ and σ.
From the second equation, we can isolate μ:
μ = 23 - σ
Substituting this value into the first equation, we have:
29 = (23 - σ) + 3σ
Simplifying the equation, we get:
29 = 23 + 2σ
2σ = 29 - 23
2σ = 6
σ = 3
Substituting the value of σ back into the second equation, we find:
μ = 23 - 3
μ = 20
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What is the equation of the graph?
a) y= 1/4 x.
b) y= 4x.
c) y= - 1/4 x.
d) y= - 4 x
4 1/3x + 16 = 2 2/3x + 21
How much would you need to deposit in an account now in order to have $2000 in the account in 5 years? Assume the account earns 5% interest compounded monthly.
I need to deposit $1558.41 to have $2000 in the account in 5 years.
What is compound interest?
The interest charged on a debt or deposit is known as compound interest. It is the idea that we use the most regularly. Compound interest is calculated for a sum based on both the principal and cumulative interest.
∴ Compound interest = P(1 + \(\frac{r}{100*12}\))ⁿ (∵ for monthly interest)
P = Principal
r = rate of interest per month
n = number of months
Given:
r = 5% per month
n = 5 years = 5*12 = 60 months
CI = P (1+5/(12 * 100))⁶⁰
2000 = P(1.0041)⁶⁰
2000 = P(1.2834)
P = 1558.41
Therefore, the amount required to deposit is 1558.41 dollars to get 2000 dollars after 5 years with 5 percent interest per month.
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√2x² + 7x + 5√2 = 0
find the roots of the following quadratic equation by factorization method
PLS HELP ME FAST
Step-by-step explanation:
√2x² + 7x +√2=0
2x + 7x + √ 2 =0
√2=9x
x = o.15713484
? : 11 = 1/3 : 6
I need help
Answer:
11/18
Step-by-step explanation:
let n represent the number to be found
simplify the ratio on the right by multiplying both parts by 3
we now have
n/11 =11/18 ( cross-multiply )
18n = 11 ( divide both sides by 18 )
n = 11/18
The Topology Taxi Company charges 2.40 for the first fifth of a mile and 0.40 for each additional fifth of a mile. Find a linear function which models the taxi fare F as a function of the number of miles driven, m
The equation that models the taxi fare F as a function of the number of miles driven is F = 2.40 + 0.40m
What is an equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, the Topology Taxi Company charges 2.40 for the first fifth of a mile and 0.40 for each additional fifth of a mile.
The function will be:
F = 2.40 + (0.40 × m)
F = 2.40 + 0.40m
where m = number of miles
F = taxi fare.
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7. (ASV, Exercise 2.20 ) - 3 points. A fair die is rolled repeatedly. Use precise notation of probabilities of events and random variables for the solutions to the questions below. (a) Write down a precise sum expression for the probability that the first five rolls give a three at most two times. (b) Calculate the probability that the first three does not appear before the fifth roll. (c) Calculate the probability that the first three appears before the twentieth roll but not before the fifth roll.
Answer:
0.9646 ; 0.5685
Step-by-step explanation:
Given that :
P(obtaining 3 on a die roll) = 1/6 = 0.1667
Obtaining 3 at most 2 times in five trials
Using binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
n = 5 ;, p = 0.1667
P(x ≤ 2) = P(x = 0) + P(x =1) + P(x = 2)
Using the binomial probability :
P(x ≤ 2) = 0.4019 + 0.4019 + 0.1608
P(x ≤ 2) = 0.9646
B.) using geometric distribution :
(1 - p)^x-1 * p
P ≥ 5) = 1 - P(x ≤ 4) = 1 - p(x = 0) + p(x = 1) + p(x =2) + p(x = 3)
1 - (0.1667 + 0.1157+0.0965+0.0804)
= 0.5685
The length of a rectangular field is represented by the expression 14x-3x^2+2y . The width of the field is represented by the expression 5x-7x^2+7y . How much greater is the length of the field than the width?
The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)
1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)
2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).
3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).
4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)
5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)
6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)
7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)
8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)
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