A cylindrical cakes of 32 Pi cubic inches the radius of a cake is 4 inches what is the height of the cake
Answers
\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} V=volume\\ r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{cm^3}{32}\\ r=4 \end{cases}\implies 32=\pi 4^2h\implies 32=16\pi h \\\\\\ \cfrac{32}{16\pi }=h\implies \cfrac{2}{\pi }=h\implies 0.64\approx h\)
Related Questions
Exercise 4.28: Keeping water supplies clean requires regular measurement of levels of pollutants. The measurements are indirect—a typical analysis involves forming a dye by a chemical reaction with the dissolved pollutant, then passing light through the solution and measuring its “absorbance.” To calibrate such measurements, the laboratory measures known standard solutions and uses regression to relate absorbance and pollutant concentration. This is usually done every day. Here is one series of data on the absorbance for different levels of nitrates. Nitrates are measured in milligrams per liter of water. Data can be found on Crunchit>File>Load from> Chapter 4> Exercise 28. b) It is appropriate to find the correlation (r) because the form of the relationship is c) Chemical theory says that these data should lie on a straight line. If the correlation is not at least 0.997, something went wrong, and the calibration procedure is repeated. Find the correlation using Crunchit!. Correlation r = (Enter it exactly as it appears on Crunchit!) d) The calibration process sets nitrate level and measures absorbance. At this point it appears as if Nitrate level is x and the absorbance is y but the roles of x and y get switched. Once established, the linear relationship will be used to estimate the nitrate level in water from a measurement of absorbance. If we are going to estimate the Nitrate level then that becomes the response variable. What is the equation of the line used for estimation? Write it in the form ____ = _____ + ______*_____. The two variables are "Nitrates", "Absorbance". e) What is the estimated nitrate level in a water specimen with absorbance 40? Your answer must have two decimal places. mg/liter f) Based on the correlation r we can say that the predicted value (estimate) of nitrate level is (very good/good/bad) g) The percent of the variation in Nitrate s that can be explained by absorbance is %. (two decimal places) h) We will only be able to use the regression equation to make predictions of nitrates for absorbance between nd . That is, we cannot plug in a number outside this range into the the regression equation to make a prediction
Answers
Answer:
..
Step-by-step explanation:
Find a number, twice of which decreased by 7 gives 65.
Answers
Answer:
Number = 36
Step-by-step explanation:
Given that,
A number twice of which decreased by 7 gives 65.
Let the number be x.
Twice of the number is 2x.
ATQ,
2x - 7 = 65
We can solve the above equation.
Adding 7 both sides.
2x-7+7 = 65 +7
2x = 72
x = 36
So, the required number is 36.
when interest is compounded n times a year, the accumalated amount(A) after t years.approximately how long will take $2000.00 to double at an annual rate of 5.25% compounded monyhly?
Answers
Therefore, it will take approximately 13.47 years for $2000.00 to double at an annual rate of 5.25% compounded monthly.
What is percent?Percent is a way of expressing a number as a fraction of 100. The symbol for percent is "%". Percentages are used in many different contexts, such as finance, economics, statistics, and everyday life. Percentages can also be used to express change or growth, such as an increase or decrease in the value of something over time.
Here,
The formula for the accumulated amount (A) when interest is compounded n times per year at an annual interest rate of r, for t years, is:
\(A = P(1 +\frac{r}{n})^{nt}\)
where P is the principal amount (initial investment).
To find approximately how long it will take $2000.00 to double at an annual rate of 5.25% compounded monthly, we need to solve for t in the above formula.
Let P = $2000.00, r = 0.0525 (5.25% expressed as a decimal), and n = 12 (monthly compounding).
Then, we have:
\(2P = P(1 +\frac{r}{n})^{nt}\)
Dividing both sides by P, we get:
\(2= (1 +\frac{r}{n})^{nt}\)
Taking the natural logarithm of both sides, we get:
\(ln(2) =ln(1 +\frac{r}{n})^{nt}\)
Using the properties of logarithms, we can simplify this expression as:
\(ln(2) = n*t * ln(1 + r/n)\)
Dividing both sides by n*ln(1 + r/n), we get:
\(t = ln(2) / (n * ln(1 + r/n))\)
Plugging in the values for r and n, we get:
\(t = ln(2) / (12 * ln(1 + 0.0525/12))\)
Solving this expression on a calculator, we get:
t ≈ 13.47 years
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Before the search and collection of evidence, there must be _______.
A. Informed consent by the owner
B. A crime
C. A chain of custody
D. A search warrant
I’m stuck between D and B because law enforcement can conduct a search without a search warrant if there is consent by the owner. It is not C because that would be either during or after the collection of evidence.
Answers
Answer:
D) A search warrant
Step-by-step explanation:
A search warrant is required before the search and collection of evidence to ensure legal authorization and protection of individuals' rights against unreasonable searches and seizures.
Option B, "A crime", is incorrect because the presence of a crime is not a prerequisite for conducting a search and collection of evidence. There are various situations where searches and evidence collection may occur without a crime being involved, such as regulatory inspections, consented searches, or investigations into potential threats or risks.
By your logic when you say law enforcement can conduct a search without a search warrant if there is consent by the owner, that would mean option A would be right, but of course, it's not.
16.9 and 1.7 and 0.17 and 2.0 added up
Answers
Answer:
20.77
Step-by-step explanation:
Answer:
20.77
Step-by-step explanation:
Simplify 16.9+ 1.7 to 18.6
18.6 +0.17+2.0
Simplify 18.6+0.17 to 18.77
18.77+2.0
Simplify.
ANddddd the answer is
20.77
What is a tessellation, how are tessellations used, and what must happen at vertices in order for polygons to tessellate?
Answers
A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.
Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.
For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.
This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.
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PLEASE HELP AND HURRY
Solve for x: −6 < x − 1 < 9 5 < x < 10 −5 < x < 10 −5 > x > 10 5 > x > −10
Answers
Answer:
i want orange juice
Answer:
−5 > x > 10
Step-by-step explanation:
Which of the following equations is equivalent to 4/5a - 8 = 1/5?
Answers
Answer:
a = 10 1/4
Step-by-step explanation:
So with the following equation,
4/5a - 8 = 1/5,
we need to use the commutative property.
Which is the moving of whole numbers or variables.
So we add 8 to both sides.
4/5a = 41/5
Divide 4/5 by both sides
a = 10 1/4
So on of the equations could look like a = 10 1/4
Thus,
a = 10 1/4 could be one of the equations given which are equal to 4/5a - 8 = 1/5.
Hope this helps :)
Answer:
\(\huge\boxed{a=\dfrac{41}{4}=10\dfrac{1}{4}=10.25}\)
Step-by-step explanation:
\(\dfrac{4}{5}a-8=\dfrac{1}{5}\qquad\text{multiply both sides by 5}\\\\5\!\!\!\!\diagup\cdot\dfrac{4}{5\!\!\!\!\diagup}a-(5)(8)=5\!\!\!\!\diagup\cdot\dfrac{1}{5\!\!\!\!\diagup}\\\\4a-40=1\qquad\text{add 40 to both sides}\\\\4a-40+40=1+40\\\\4a=41\qquad\text{divide both sides by 4}\\\\\dfrac{4a}{4}=\dfrac{41}{4}\\\\a=10.25\)
Find the volume of this cylinder.
Give your answer to 1 decimal place.
20 cm
9 cm
Answers
Step-by-step explanation:
the answer will be 1272.7cm3
the formula of the volume of the cylinder is pie×radius squared×height so,
we will get the radius and the radius is half of the diameter and the diameter is 9 so 9÷2=4.5 and then it will be squared so it will be 20.25cm2 and so we will write it this way
3.14×20.25×20=1271.7cm3
hope this helped
xoxo adham
A tank contains 2760 L of pure water. Solution that contains 0.08 kg of sugar per liter enters the tank at the rate 3 L/min, and is thoroughly mixed into it. The new solution drains out of the tank at the same rate.
(a) How much sugar is in the tank at the begining? Y(0)= (kg)
(b) Find the amount of sugar after t minutes. y(t)= (kg)
(c) As t becomes large, what value is y(t) approaching ? In other words, calculate the following limit y(t) as t approcahes infinity. (kg)
Answers
a) the initial condition as 0 kg sugar in the tank at time = 0 (pure water)
b) with the net rate of change the amount of sugar after t minutes is S(t) = 236.8 [1 - e (t/740)]
c) time goes to infinity, the amount of sugar in is 236.8 kg.
a) Let A(t) denote the amount of sugar in the tank at time. The tank starts with only pure water, so A(0) = 0 OR you can say that you give the initial condition as 0 kg sugar in the tank at time = 0 (pure water)
b) Sugar flows in at a rate of (0.07 kg/L) * (7 L/min) = 0.49 kg/min = 49/100 kg/min and flows out at a rate of (A(t)/1080 kg/L) * (7 L/min) = 7A(t)/1080 kg/min, so that the net rate of change of is governed by the ODE, multiply both sides by the integrating factor to condense the left side into the derivative of a product, if t = time and S(t) is the amount of sugar in the tank as a function of time, then the equation that we get is S(t) = 236.8 [1 - e (t/740)]
c) As t---> ∞, the exponential term converges to 0 and we're left with the means when time goes to infinity, the amount of sugar in is 236.8 kg.
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plss help me with my question
Answers
Answer:
1. 45.76, 52.17, 54.2, 55.16, 56.78
2. 9.18, 9.2, 9.98, 10.54, 11.23
3. 0.01, 0.05, 0.067, 0.07, 0.09
4. 33.14, 33.15, 33.45, 33.52, 33.55
5. 3.45, 4.45, 4.9, 5.49, 6.5
If A, B, and C are any three square matrices of order (dimension) 3, then which of the following is true?
A + (B + C) = (A + B) + C
A (B + C) = AB + AC
(AB)C = A(BC)
All of the choices
Answers
In other words, all of the above.
============================================
Explanation:
Since matrix A, B, and C are all the same size (3 by 3), this means we can add them. Addition is defined. Multiplication is also defined in this case.
A few of the many properties of matrix addition and multiplication are
Matrix addition is associative, meaning A+(B+C) = (A+B)+C so we can group the matrices however we want.Matrix multiplication is also associative, so A*(B*C) = (A*B)*CMatrix distribution is possible: A*(B+C) = A*B+A*CKeep in mind that the last property is not the same as (B+C)*A because the order of multiplication matters. A*B is not the same as B*A.
Based on those points above, we can see that all statements your teacher mentioned are true ones.
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answers
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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I need help with this thank you
Answers
1= 5/4
2= -103/40
1st explanation
-12/15 + 4/5 + 7/12
-8 + 48 + 35/60
75/60
5/4
2nd explanation
-1 3/5 + 5 1/8 - 6 1/10
-8/5 + 41/8 + 61/10
- 64 + 205 + 244 / 40
-103/140
-103 / 40
8 people want to split a bag that holds 17 pounds of rice equally.
Which fraction shows how much each person will get?
817 pound
258 pounds
178 pounds
Submit
Answers
Step-by-step explanation:
they would get around 2.125 or 2 1/8 each. Hope thos helps!
Tatiana earns money by babysitting her little cousin. When she babysits for 2 hours she earns $27. When she babysits for 7 hours she earns $94.50. Which equation represents her total wages based on the hours that she works?
Answers
Answer:
36$
Step-by-step explanation:
I took the test
If the expenditure of a person is 75% of his income and his income tax which is 13% of his income is $585. What is his expenditure?
Answers
The person's expenditure is $1,755. (30 words)
To find the expenditure, we need to determine the person's income first. Since the income tax is 13% of the income and is given as $585, we can calculate the income. Dividing the income tax by the tax rate gives us the income. So, $585 divided by 0.13 equals $4,500, which is the person's income.
Now, we can calculate the expenditure. Given that the expenditure is 75% of the income, we can multiply the income by 0.75 to find the expenditure. So, $4,500 multiplied by 0.75 equals $3,375. Therefore, the person's expenditure is $3,375. (120 words)
In summary, the person's expenditure is $3,375. To find this, we first determined the person's income by dividing the given income tax of $585 by the tax rate of 13%, resulting in an income of $4,500.
Then, we calculated the expenditure by multiplying the income by 0.75 since the expenditure is stated to be 75% of the income. Thus, the person's expenditure is $3,375.
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a floor that is 15 15 feet by 12 feet is being covered by tiles that are 1.5 feet by 1.5 feet. which is the best represents the number of tiles that will be needed
Answers
The best representation of the number of tiles that will be needed to cover the Floor is 80 tiles.
The number of tiles needed to cover the floor, we can calculate the total area of the floor and divide it by the area of each tile.
The area of the floor is given by the product of its length and width: 15 feet * 12 feet = 180 square feet.
The area of each tile is given by the product of its length and width: 1.5 feet * 1.5 feet = 2.25 square feet.
To find the number of tiles needed, we divide the total area of the floor by the area of each tile:
Number of tiles = (Total area of the floor) / (Area of each tile) = 180 square feet / 2.25 square feet = 80 tiles.
therefore, the best representation of the number of tiles that will be needed to cover the floor is 80 tiles.
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-p+8(-57-2) please i have to simplify it
Answers
Answer:
\((-p)-472\)
Step-by-step explanation:
\(-57-2=-59\\-p+8\left(-59\right)\\8\left(-59\right)=-472\\=(-p)-472\)
Simplify the steps by steps
Subtract the numbers
-p+8(-57-2)
-p+8(-59)
Multiply the numbers
-p +8(-59)
-p-472
Solution
-p-472 Simplify
100% right hope this helps
Hello I need help please
Answers
olution
e have the following statement:
If < ABC and < CBD are supplementary angles then m < ABC and m< CBD = 180º represents the definition of:
A) supplementary angles
Is the answer to this question 13.5
Answers
Answer:
i think its 13
Step-by-step explanation:
you are supposed to measure the lowest point of the liquid.
Solve for SR.
Also feel free to tell us how your day has been :D
Answers
Answer:
12
Step-by-step explanation:
Triangle PQR and triangle STR are congruent and that makes |PR| and |SR| equal in measure:
2x + 6 = 4x export like terms to same side
6 = 4x - 2x subtract
6 = 2x divide both sides by 2
3 = x
SR is represented with 4x now replace x with 3
SR = 4*3 = 12
a function is in the form g(x)= ax2 + d. if a is greater than 1 and d is positive, which could be the graph of g(x) ?
Answers
hello
to answer precisely, i have to see the graphs in the question but overall, the answer should look like something like the graph in the attached file
Decide whether the relation determines a function
7x=14-5y
Answers
Answer:
yes, it is a funtion
Step-by-step explanation:
we can rewrite the equation as,
y = 14/5 - 7x/5
there us only one value of y for every real no of x
The relation 7x = 14 - 5y is a function.
To determine whether the relation 7x = 14 - 5y represents a function, we need to check if each value of x corresponds to a unique value of y.
First, let's isolate y in terms of x:
7x = 14 - 5y
Subtract 14 from both sides:
7x - 14 = -5y
Divide by -5:
(7x - 14) / -5 = y
Simplifying further:
y = (-7x + 14) / 5
Since we have found a formula for y in terms of x, this relation represents a function.
For each value of x, there is a unique corresponding value of y based on the equation y = (-7x + 14) / 5.
Therefore, the relation 7x = 14 - 5y is a function.
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The height of a model rocket, H(f), is a function of the time since it was launched, t.
Answers
Answer:
Choice A
Step-by-step explanation:
If you look at the x-axis of the graph, you can see that the values of are between 0 and 34
evaluate the expression for x=-3 Thank you
\( {x}^{2 } - 2x + 4\)
Answers
Answer: 7
Step-by-step explanation:
3 x 3 = 9 - 2(3)+4
9-6+4
=7
I need help with all circled questions
Answers
Applying the relevant tangents theorem, the answer to the circled questions are: 5. m(RU) = 190°; 7. m<T = 50°; 11. x = 9
How to Apply the Tangents Theorem to Find the Indicated Measures?5. Based on the secant-tangent theorem, we have:
m<S = 1/2(m(RU) - m(RT))
Given the following:
m<S = 45°
m(RT) = 100°
m(RU) = ?
Plug in the values:
45 = 1/2(m(RU) - 100)
90 = m(RU) - 100
90 + 100 = m(RU)
m(RU) = 190°
7. Using the same theorem, we have:
m<T = 1/2(160 - 60)
m<T = 50°
11. Based on the angle of tangents theorem, we have:
7x + 12 = 1/2((360 - 105) - 105)
2(7x + 12) = 150
14x + 24 = 150
14x = 150 - 24
14x = 126
x = 9
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Bianca can walk 5/6 of miles 1/3 of an hour. What is her walking speed,in miles per hours?
Answers
Answer:
Step-by-step explanation:
To find Bianca's walking speed, we need to divide the distance she walks by the time it takes her to walk that distance. We can do this by converting both the distance and time to the same unit of measure.
Since 1 hour is equal to 60 minutes, 1/3 of an hour is equal to 1/3 * 60 minutes = 20 minutes. Now that we have the distance in miles and the time in minutes, we can divide the distance by the time to find Bianca's walking speed.
5/6 of a mile is equal to 5/6 * 1 mile = 0.83 miles. So, Bianca's walking speed is 0.83 miles / 20 minutes = 0.0415 miles per minute. To convert this to miles per hour, we can multiply by the conversion factor of 60 minutes per hour. This gives us a walking speed of 0.0415 miles/minute * 60 minutes/hour = 2.49 miles per hour. So, Bianca's walking speed is 2.49 miles per hour.
What’s the correct answer answer asap for brainlist
Answers
Answer:
Hope is the thing with feathers
Step-by-step explanation:
this is because this phrase expresses how hope moves through someone
Give the quotient of the following:
Need solution
1.168 ÷ 8
2.246÷12
3.4328÷4
4.729÷9
5.8415÷5
Answers
Division is a simple operation in which a number is divided. 1.168 ÷ 8= 0.146, 2.246÷12= 0.1871, 3.4328÷4=0.8582, 4.729÷9=0.5254 and 5.8415÷5=1.168.
What is Division?Division is a simple operation in which a number is divided.
Division lets us separate a number of objects into equal-size groups.
Division has 3 important parts dividend, divisor, remainder and quotient.
1.168 ÷ 8= 0.146
(Because 0.146*8=1.168)
2.246÷12= 0.1871
(Because 12*0.1871=2.246)
3.4328÷4=0.8582
(Because 4*0.8582=3.4328)
4.729÷9=0.5254
(Because 9*0.5254=4.729)
5.8415÷5=1.168.
(Because 5*1.168=5.8415)
Therefore 1.168 ÷ 8= 0.146, 2.246÷12= 0.1871, 3.4328÷4=0.8582, 4.729÷9=0.5254 and 5.8415÷5=1.168.
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