Sphere solid is generated when the semicircle is rotated about the line.
Given,
The semi circle is rotated about the line.
To find the what solid is generated?
Now, According to the question:
We know that when a semicircle is rotated about any line then the three dimensional figure or a solid that is formed on this rotation transformation is Sphere.
Hence, Sphere solid is generated when the semicircle is rotated about the line.
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An inground sprinkler nozzle sprays water onto the grass in the shape of a circle, with the nozzle at the center of the circle. On the coordinate plane, the nozzle is located at (20, 0) and the points (35, 0) and (5, 0) lie on the circle. Which equation represents the boundary that the sprinkler covers?
In order to determine which equation represents the boundary, replace the values of the coordinates of the given points, into the choices for the equations, and then verify if the left hand side matches with the right hand side.
For points (35,0) and (5,0) you have:
x = 35
y = 0
x = 5
y = 0
Then, for the first answer choice we have:
[tex]\begin{gathered} (x-20)^2+y^2=225 \\ (35-20)^2+0^2= \\ 15^2=225 \\ (5-20)^2+0^2= \\ 15^2=225 \end{gathered}[/tex]As you can notice, the equation matches for values of x and y.
Then, there is no necessary to verify for the other choices.
Hence, the equation (x - 20)^2 + y^2 = 225 represents the boundary that the sprinkler covers.
A cylindrical tank with radius 5 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increasing (in m/min)?
The height of the water increasing at a rate of 0.05 m/min
The Volume of a cylinder is
[tex]V = \pi r^{2}h[/tex]
where r is the radius and h is the height of the cylinder.
Given that the radius r of cylinder is 5m and the water is filled at the rate of 4 [tex]m^{3} /min[/tex]
[tex]V = 25\pi h[/tex] ...(1)
Now, differentiating (1) with respect to time t,
[tex]\frac{dV}{dt} = 25\pi \frac{dh}{dt}[/tex]
Substituting the value of [tex]\frac{dV}{dt}[/tex]
4 = [tex]25\pi \frac{dh}{dt}[/tex]
[tex]\frac{dh}{dt}[/tex] = [tex]\frac{4}{25\pi }[/tex]
[tex]\frac{dh}{dt}[/tex] = 0.05 m/min
Hence, the water is increasing at the rate of 0.05 m/min
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write from largest to smallest these numbers 5/4,.2,60%,.75,.5
14 pound in 1 stone and 2.2 pound in 1 kilogram. a certain person weight 9 stone.
Given that 1kg=2.2 pound, also there is 14 pounds in 1 stone
There are 9 stones totally,so totally 9 stones will have 405 pounds
To convert into kilogram to should divide pounds by 2.2
[tex]\frac{405}{2}=183.705[/tex]Thus 183.705 is the required answer.
classify the system as "consistentdependent", "consistent independent", or "inconsistent". choose the best description of its solution. if the system hs exactly one solution give it solution.
The solution of a system is the point where the lines described by the equations of the system intersect, If a system has no solution, it is said to be inconsistent, In this case, both lines have the same slope (-3/2) which means that they are parallel each other, then they will never intersect, and the system has no solution and is inconsistent
The following are the reasons why sampling is used except for a. Sampling is used if taking a census of the entire population is impractical. b. Sampling is less time-consuming and less costly than census. c. Sampling is so easy. d. The data from the sampling can be used to estimate corresponding population measures.
The following are the reasons for sampling:
1. To bring the population to a manageable number
2. To reduce cost
3. To help in minimizing error from the despondence due to large number in the population
4. Sampling helps the researcher to meetup with the challenge of time.
Therefore, the answer is:
c. Sampling is so easy.
The table represents an absolute value function f(x). x f(x) −5 1 −4 0 −3 1 −2 2 −1 3 0 4 1 5 2 6 3 7 What are the vertex and range of the function? Vertex (0, 4), Range: {y | 0 ≤ y < ∞} Vertex (0, 4), Range: {y | 4 ≤ y < ∞} Vertex (−4, 0), Range: {y | 0 ≤ y < ∞} Vertex (−4, 0), Range: {y | −4 ≤ y < ∞}
The vertex and range of this absolute value function is: Vertex (0, 4), Range: {y | 0 ≤ y < ∞}.
What is an absolute value function?An absolute value function can be defined as a type of function that consist of an algebraic expression, which is placed within absolute value symbols.
Mathematically, the standard form of the equation for an absolute value function is given by:
y = a|x - h| +k.
Where:
h and k are the vertex of the graph.
Furthermore, an absolute value function is defined by this piecewise rule, especially based on its input:
|x| = -x, x < 0.|x| = x, x ≥ 0.In conclusion, the vertex or turning point of this absolute value function in the table above is at (0, 4).
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Answer:
Vertex (0, 4), Range: {y | 0 ≤ y < ∞}.
Step-by-step explanation:
Which number is equivalent to 3^(4)÷3^(2)
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
This problem comes straight from a standardized test given in New York in 2014.
What are the factors of this expression?
3/4xy
Drag all of the factors of the expression into the box.
The factors of the expression 3xy/4 are 3/4, -1, x and y.
According to the question,
We have the following expression:
3xy/4
Now, we know that when we say factors of an expression then it means that we are talking about numbers or variables which can divide the given expression.
(For example, the factors of 24xy are 24 and the factors of 24 which are 1,2,4,6 including the two variables x and y.)
So, in this case, we will separate each number and variable to find the factors of the given expression:
3/4, x and y and -1
Hence, the factors of the expression 3xy/4 are 3/4, -1, x and y.
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what is (9.74c-250.50)+(-5.48p+185.70)
Here, we want to solve find the value of the expression
We start by opening up the brackets and then, we bring together like terms
We have this as;
[tex]\begin{gathered} (9.74c-250.5)+(-5.48p+185.70) \\ =\text{ 9.74c - 250.5 -5.48p+185.7} \\ =\text{ 9.74c-5.48p-250.5+185.7} \\ =\text{ 9.74c-5.48p-64.80} \end{gathered}[/tex]how many meters are in 11.75 millimeters
ANSWER
0.01175 metres
EXPLANATION
We want to find how many metres are in 11.75 millimetres.
There are 1000 millimeters in 1 meter:
We will simply divide 11.75 milimetres by 1000
1000 millimetres = 1 metre
[tex]11.75\text{ millimetres = }\frac{11.75}{1000}\text{ = 0.01175 metres}[/tex]Identify the translation of the vertices P (-4, -5), L (1, -7), and K (-9, 8), along the vector , <-6 , 3 >.
Given:
The vertices are P (-4, -5), L (1, -7), and K (-9, 8).
The vector is < -6,3 >.
Aim:
We need to find the image of the vertices when translating given vertices along the vector.
Explanation:
The translation vector <-6,3> means each point is being moved 6 units to the left and 3 units up.
For each vertex, we subtract 6 from each x value and add 3 to each y value.
[tex]P^{\prime}(-4-6,-5+3)=P^{\prime}(-10,-2)[/tex][tex]L^{\prime}(1-6,-7+3)=L^{\prime}(-5,-4)[/tex][tex]K^{\prime}(-9-6,8+3)=K^{\prime}(-15,11)[/tex]Final answer:
[tex]P^{\prime}(-10,-2)[/tex][tex]L^{\prime}(-5,-4)[/tex][tex]K^{\prime}(-15,11)[/tex]
pls answer the pic below
The value of the missing angles are; m∠ABC = 36° and m∠DBC = 41°
How to find the missing angles?We are given that;
m∠ABD = 77°
Addition angle postulate states that the sum of two adjacent angle measures will equal the angle measure of the larger angle that they form together.
Now, by addition angle postulate, we can say that;
m∠ABC + m∠DBC = 77°
Now, we are given that;
m∠ABC = (5x - 4)°
m∠DBC = (5x + 1)°
Thus, by substitution property, we have;
(5x - 4)° + (5x + 1)° = 77
10x - 3 = 77
10x = 77 + 3
10x = 80
x = 8
Thus;
m∠ABC = (5(8) - 4)°
m∠ABC = 36°
m∠DBC = (5(8) + 1)°
m∠DBC = 41°
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A rectangular calendar is hanging on a wall. The diagram below shows several dimensions of the wall and the calendar.Based on the diagram, determine the distance that the top edge of the calendar is from the ceiling, and explain your reasoning.
SOLUTION
We want to find the distance that the top edge of the calendar is from the ceiling.
The diagram below will help us
From the diagram above x is the distance we want to find
We can see that the entire wall is 9 ft long,
Distance from the foot of the calender to the floor is 5 1/4 ft and
Halve of the calendar is 2/3 ft
So the whole calendar is
[tex]\begin{gathered} 2\times\frac{2}{3} \\ =\frac{4}{3}\text{ ft } \end{gathered}[/tex]So, to find x, we will add length of the calendar which is 4/3 ft to distance from the foot of the calender to the floor which is 5 1/4 ft and subtract this from height of the wall which is 9 ft
We have
[tex]\begin{gathered} 9-(\frac{4}{3}+5\frac{1}{4}) \\ 9-(\frac{4}{3}+\frac{21}{4}) \\ 9-(\frac{16+63}{12}) \\ 9-\frac{79}{12} \\ =\frac{108-79}{12} \\ =\frac{29}{12} \\ =2\frac{5}{12} \end{gathered}[/tex]Hence the answer is
[tex]2\frac{5}{12}\text{ ft}[/tex]It says if Jamal rides his bike to school and back home. It is two miles each way. How many miles does he ride in five days?
Answer:
20 miles
Step-by-step explanation:
If it is two miles each way, then he rides a total of 4 miles every day.
Multiply 4 by 5
4 x 5 = 20
20 miles
Answer:
20 miles
Step-by-step explanation:
he always goes to school and comes back, to that means each day where he goes to school he rides 4 miles each time.
if he does this for 5 days you can write the following:
4*5 = 20 or if you haven't learned multiplication you can think of it like this:
4+4+4+4+4= 20
Navy paint is made by mixing 8 cups of blue paint with 2 cups of black paint. If he only has 1 cup of blue pain, how much black paint should he use?
For 1 cup of blue paint, 1/4 cups of black paint is needed
How to determine the amount of black paint?The given parameters are
8 cups of blue paint needed for 2 cups of black paint
This means that
8 cups of blue paint needed = 2 cups of black paint
Divide both sides of the equation by 8
So, we have the following equation
8/8 cups of blue paint needed = 2/8 cups of black paint
Evaluate the quotient
So, we have the following equation
1 cup of blue paint needed = 1/4 cups of black paint
Hence, the amount of black paint is 1/4
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Question 22 of 25Which list is ordered from least to greatest?L) 52.932M) 583.31N) 52.930) 8.39P) 89.223A. N, L, M, P, OOB. M, P, L, N, OOC. O, N, L, P, MOD. P. O, L, M, N
Solution
- The ordered list from the least to the greatest is:
[tex]8.39,52.93,52.932,89.223,583.31[/tex]- Thus, using the arrangement of the numbers, we can rearrange using the letters.
O, N, L, P, M
Final Answer
O, N, L, P, M (OPTION C)
Find the 9th term of the geometric sequence 4, -16, 64, ...
Answer:
4 to the 9th power :D
Step-by-step explanation:
Please Brainliest
please help me solve part 3!
Step-by-step explanation:
probabilities are always
desired cases / totally possible cases
24 cans in total, 4 of them are diet, therefore 20 of them are regular.
2 cans are picked.
for the first can
the probability to pick a diet can is
4/24 = 1/6
the probability to pick a regular is
20/24 = 5/6
a)
to pick 2 diets, the first one has to be diet.
that leaves 23 cans with 3 being diet.
so, the probability for the second can being diet too is
3/23.
as combined event the probability to pull 2 diet cans is
1/6 × 3/23 = 1/2 × 1/23 = 1/46 = 0.02173913...
≈ 0.0217
b)
now the same for picking 2 regular cans.
the first one has to be regular :
5/6
that leaves for the second one 23 cans and 19 of them regular
19/23
combined this gives the probability
5/6 × 19/23 = 95/138 = 0.688405797...
≈ 0.6884
this is not unusual.
what would be considered "usual" or "unusual" ?
c)
one of them is diet, and one of them is regular.
the simple answer ?
it is the only other option, when the cans are not of the same type. it is the opposite of the sum of a) and b).
so, it is
1 - 0.688405797... - 0.02173913 = 0.289855072...
≈ 0.2899
but what to do, if we want to calculate it directly ?
it is the case that either
1. the first can is diet and the second can is regular,
or
2. the first can is regular and the second can is diet.
case 1.
the first can is diet = 1/6
leaving 23 cans with 20 being regular
the second can being regular = 20/23
together
1/6 × 20/23 = 1/3 × 10/23 = 10/69 = 0.144927536...
case 2.
the first can is regular = 5/6
leaving 23 cans with 4 diets.
the second can being diet = 4/23
together
5/6 × 4/23 = 5/3 × 2/23 = 10/69 = 0.144927536...
in an "exclusive or" situation we can add the probabilities.
so, the probability of having exactly one can diet and exactly one can regular is
0.144927536... + 0.144927536... = 0.289855072...
≈ 0.2899
we were correct in the first place !
65% of the workers at Costco have a pet dog. If thereare about 162 workers who have a dog, how manyCostco employees are there in total? .
To find how many Costco employees are, we can use the formula of
Triangle ABC has vertices A(1,4), B (-3,5) and C(-2, 4) and is rotated 90
degrees clockwise about the origin. What will be the coordinates of C'?
O (2,-4)
O (4,-1)
O(-4,-2)
O (4,2)
Check the picture below.
Find f(4) if f(x) =5x-4
To find f(4) you substitute the x in the given equation for 4:
[tex]\begin{gathered} f(4)=5(4)-4 \\ f(4)=20-4 \\ f(4)=16 \end{gathered}[/tex]Then, f(4) is 16Write a function that models the population of 400 birds decreased at an annual rate of 6%
A function that models the population of 400 birds decreasing at an annual rate of 6% is [tex]f(x) = 400(1 - 0.06)^{t}[/tex] where t is the time period.
What is the Exponential decay formula?The Exponential decay formula aids in determining the quick decrease over time, i.e. the exponential decrease. The exponential decay formula is used to calculate population decay, half-life, radioactivity decay, and so on.
Its general form is f(x) = a (1 - r)ⁿ.
Where a = the initial amount
1 - r = decay factor and n = time period.
Given:
The initial population of birds, P = 400
Rate of decay, r = 6% = 0.06
Time = t years
By using the exponential decay formula,we get
[tex]f(x) = P (1 - r)^{t}[/tex]
[tex]f(x) = 400(1 - 0.06)^{t}[/tex]
Therefore, the function that models the population of 400 birds decreased at an annual rate of 6% is [tex]f(x) = 400(1 - 0.06)^{t}[/tex].
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Which of the following inequalities would be graphed with an open circle? Select all that apply.
SOLUTION
Note that for an inequality to be graphed with an open circle the inequality sign must be either less than or greater than
Therefore the inequalities are:
[tex]\begin{gathered} 3(x-2)<18 \\ h+6>-3h+12 \end{gathered}[/tex]Carter has 60 balloons , of the balloons are black, and is of the balloons are white. The rest of theballoons are red. How many red balloons Carter has? Show your calculations in the space provided
we have 60 balloons
black balloons are =4/12*60
and that is =20 black balloons
red balloons= 3/12*60=5*3=15
the rest are white
white balloons= 60- 20 black-15 red=25 white balloons
Which did you include in your response? Check all that apply? Use ten StartFraction 1 Over 12 EndFraction bars. Circle groups of StartFraction 4 Over 6 EndFraction. There is one group of StartFraction 4 Over 6 EndFraction, with StartFraction 1 Over 6 EndFraction remaining. The quotient is 11 and one-fourth.
The simplified expression of the fraction expression is (b) One group of 4/6, with 1/6 remaining.
How to evaluate the fraction?
The fraction expression is given as
ten StartFraction 1 Over 12 EndFraction bars.
Rewrite the fraction properly
So, we have
Ten 1/12 bars
This can be represented as
10 * 1/12
Rewrite 10 as 10/1
So, we have the following equation
10 * 1/12 = 10/1 * 1/12
Evaluate the products of the numerator
So, we have the following equation
10 * 1/12 = 1/1 * 10/12
Evaluate the products of the denominator
So, we have the following equation
10 * 1/12 = 10/12
Simplify the fraction
10 * 1/12 = 5/6
Split the fraction
10 * 1/12 = 4/6 + 1/6
This means that, the result is
Quotient = 4/6 and remainder = 1/6
Hence, the true statement about the fraction is (b)
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Complete question
Which did you include in your response? Check all that apply?
Use ten 1/12 bars.
4/6One group of 4/6, with 1/6 remaining. The quotient is 11 and one-fourthAbigail wants to find three consecutive even integers whose sum is four times the smallest of those integers. She lets n represent the smallest integer, then writes this equation: n + (n + 2) + (n + 4) = 4n. What are the three integers?
The three consecutive integers according to the expression will be 6, 8, 10
In the given question, there is an expression stated that tells the condition for a sequence in which a number is represented by 'n'. The expression is the sum of three even integers whose sum is equal to four times the smallest of numbers.
The expression is n + (n + 2) + (n + 4) = 4n. We have to find out the values for each of the numbers.
Here, First Number = n
Second number = (n + 2)
Third Number = (n + 4)
Now, We will calculate the given expression to find out the value of n.
=> n + (n + 2) + (n + 4) = 4n
=> 3n + 6 = 4n
=> n = 6
We get the smallest number n = 6 which is the first number, the second number is 8, and the third number is 10.
Hence, the numbers are 6, 8, and 10.
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Find the volume of the cone, use 3 for π
Given:
Cone with diameter of 14 ft, and height of 4 ft.
First, determine the radius of the cone, by dividing the diameter by 2.
[tex]\begin{gathered} r=\frac{d}{2} \\ r=\frac{14\text{ ft}}{2} \\ r=7\text{ ft} \end{gathered}[/tex]Now that we have the radius, substitute π = 3, r = 7 ft, and h = 4 ft to the formula of the volume of the cone.
[tex]\begin{gathered} V=\frac{\pi r^2h}{3} \\ V=\frac{(3)(7\text{ ft})^2(4\text{ ft})}{3} \\ V=\frac{3(49\text{ ft}^2)(4\text{ ft})}{3} \\ V=\frac{588\text{ ft}^3}{3} \\ V=196\text{ ft}^3 \\ \\ \text{Therefore, the volume of the cone is }196\text{ ft}^3. \end{gathered}[/tex]Caleb is going to see a movie and is taking his 3 kids. Each movie ticket costs $13 and there are an assortment of snacks available to purchase for $3.50 each. How much total money would Caleb have to pay for his family if he were to buy 5 snacks for everybody to share? How much would Caleb have to pay if he bought xx snacks for everybody to share?
The total money would Caleb have to pay for his family if he were to buy 5 snacks for everybody to share is;
How to Solve Algebra Word Problems?
We are told that the cost of each movie ticket is $13. Now, if he buys one movie ticket for his 3 kids, then total he would pay for the 3 kids and himself is;
13 * 4 = $52
Now, an assortment of snacks available to purchase for $3.50 each. Thus, if Caleb buys 5 snacks, then it means that;
Cost of the 5 snacks = 3.5 * 15 = $16.5
Total paid = $52 + $16.5
= $67.5
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State the zero(s) of the function.
f(x) = x³ - 2x² - x + 2
O a
O b
Ос
Od
1 and 2
-1, 1, and 2
-1, 0, and 1
-2, -1, and 1
Answer:
-1, 1, and 2
Step-by-step explanation:
[tex]x^3 - 2x^2 - x+2=0 \\ \\ x^2(x-2)-(x-2)=0 \\ \\ (x^2-1)(x-2)=0 \\ \\ (x-1)(x+1)(x-2)=0 \\ \\ x=-1, 1, 2[/tex]