Answers
In the picture there is a cylinder with height 5 inches and diameter 4 inches. The surface area of cylinder is 87.62.
Given that,
In the picture there is a cylinder with height 5 inches and diameter 4 inches.
The surface area of a cylinder is the area that is enclosed by the flat bases and the curving surface of the cylinder. The cylinder's total surface area includes the area of the curving surface as well as the areas of the two circle-shaped bases of the cylinder.
The surface area of cylinder is 2πr²+2πrh
r is radius which is diameter/2
r=4/2=2
h is 5
Surface area of cylinder= 2πr²+2πrh
=2π×2²+2π×2×5
=8π+20π
=28π
=28×3.14
=87.92
Therefore, the surface area of cylinder is 87.62.
To learn more about cylinder visit: https://brainly.com/question/16134180
#SPJ1
Related Questions
Select all the correct answers.
Which functions have a range of {ye R |-∞0 < y < ∞0}?
F(x)=x^2+7x-9
F(x)=-4x+11
F(x)=2/3X-8
F(x)=2^x+3
F(x)=-(x+1)^2-4
Answers
Answer: [tex]f(x)=-4x+11[/tex] and [tex]f(x)=\frac{2}{3}x-8[/tex]
Step-by-step explanation:
All linear functions with unrestricted domains have a range of all real numbers.
Write the sentence as an equation.
40 is equal to 208 subtracted from the product of 184 and j
Type a slash (/) if you want to use a division sign.
Answers
Answer:
40 = (184*j) - 208 or 40 = 184j - 208
The sum of three numbers is 80. The first number is 8 more than the second. The third number is 2 times the second. What are the numbers?First number:Х?Second number:0Third number:
Answers
Let's use the variables x, y and z to represent each of the three numbers.
If the sum of the three numbers is equal to 80, we have our first equation:
[tex]x+y+z=80[/tex]The first number is 8 more than the second, so:
[tex]x=y+8[/tex]The third number is 2 times the second, so:
[tex]z=2y[/tex]Using these values of z and x in the first equation, let's solve it for y:
[tex]\begin{gathered} (y+8)+y+(2y)=80 \\ 4y+8=80 \\ 4y=72 \\ y=18 \end{gathered}[/tex]Now, calculating x and z, we have:
[tex]\begin{gathered} x=18+8=26 \\ z=2\cdot18=36 \end{gathered}[/tex]Therefore the first number is 26, the second number is 18 and the third number is 36.
help me please
The water pressure on a submerged object is given by P = 64d, where P is the pressure in pounds per square foot, and d is the depth of the object in feet.
a. solve the formula for d.
b. Find the depth of a submerged object if the pressure is 672 pounds per square foot.
Answers
The water pressure on a submerged object is given by P = 64d, then the value d is 10.5 feet.
a. D = P/64 is the solution to the formula's "d" subject.
b. The depth of a submerged object at a pressure of 672 pounds per square foot is 10. 5 feet.
What is a function?A function can be defined as an expression, law or rule that shows the relationship between two variables.
Given the role as;
P = 64d
Where;
P stands for pressure in pounds per square foot.
The object's depth, d, is expressed in feet.
Now let's center the formula on the variable "d."
Both sides of the equation are divided by the variable "d64-based "'s coefficient. This is carried out so that the variable can stand on its own.
We have.
P/64 = 64d/64
d = P/ 64
If there is pressure, P is equivalent to 672 pounds per square foot.
When the value of the variable is inserted into the formula, we obtain;
d = P/64
Then,
d = 672/64
Discover the quotient.
d = 10. 5 ft.
Therefore,
The water pressure on a submerged object is given by P = 64d, then the value d is 10.5 feet.
a. D = P/64 is the solution to the formula's "d" subject.
b. The depth of a submerged object at a pressure of 672 pounds per square foot is 10. 5 feet.
To learn more about information visit Square foot :
brainly.com/question/28829384
#SPJ1
Find an equation for the perpendicular bisector of the line segment whose endpoints are ( 8 , − 1 ) (8,−1) and ( 4 , − 9 ) (4,−9).
Answers
The equation of the perpendicular bisector of the line segment is y = - (1 / 2) · x - 2.
What is the equation of the perpendicular bisector of a line segment?
In this problem we find a line segment whose endpoints are known and we need to determine the equation of the line perpendicular such that the segment is partitioned into two segments of equal length. Now we present the procedure. First, determine the coordinates of the midpoint:
M(x, y) = 0.5 · (8, - 1) + 0.5 · (4, - 9)
M(x, y) = (6, - 5)
Second, determine the slope of the line segment:
m = [- 9 - (- 1)] / (4 - 8)
m = (- 8) / (- 4)
m = 2
Third, calculate the slope of the bisector:
m' = - 1 / m
m' = - 1 / 2
Fourth, determine the intercept of the bisector:
b = y - m' · x
b = - 5 - (- 1 / 2) · 6
b = - 5 + 3
b = - 2
The equation of the perpendicular bisector of the line segment is y = - (1 / 2) · x - 2.
To learn more on perpendicular bisectors: https://brainly.com/question/11900712
#SPJ1
Let f(x)=−3x−1 and g(x)=x2− 1. Find (f◦g)(−1).
Answers
The value of composite function (f о g) (-1) will be -1.
What is Composite function?
A composite function is a function that is written inside with another function and composition of functions is done by substituting one function into another function.
Given that;
The value of functions are;
f (x) = - 3x -1
And, g (x) = x² - 1
Now, All values of functions are;
f (x) = - 3x -1
And, g (x) = x² - 1
Composition of functions is calculated as;
Since, (f о g) (x) = f (g(x))
Substitute the value of function f(x) and g(x) in above equation;
(f о g) (x) = f (g(x))
= f (x² - 1)
= - 3(x² - 1) - 1
= -3x² + 3 - 1
= -3x² + 2
Put x = -1 in above equation we get;
(f о g) (-1) = - 3 (-1)² + 2
= - 3 + 2
= -1
So, (f о g) (-1) = -1
Thus, The value of composite function (f о g) (-1) will be -1.
Learn more about the composite function visit:
https://brainly.com/question/28705938
#SPJ1
A funky 6-sided die with faces labeled 1, 2, 3, 4, 5, and 6 has a chance of 1/12 landing on each face and a 1/24 chance of landing on each edge. When Kira rolls the die, if it lands on a face, she records the number on top. If she lands on an edge, she records the sum of the two numbers on top. If Kira rolled the die infinitely many times and averaged the result, what is the expected value of the number recorded?
Answers
From the statement, we know that there are two possible scenarios:
A) Kira rolls the die and gets a face with a 1, 2, 3, 4, 5 or 6.
• The probability of this event is P(A) = 1/12.
,• Kira will write the number of the face in this case.
B) Kira rolls the die and gets an edge.
• The probability for this event is 1/24.
,• Kira will write the sum of the numbers that share the top edge.
,• There are multiple values for the result of the sum.
We must take into account that:
• 1 and 5 are on opposite faces,
,• 2 and 3 are on opposite faces,
,• 4 and 6 are on opposite faces.
The possible values of the sum and the forms to get it are:
0. 3, = 1 + 2 → P(B'_1) = 1/24
,1. 4, = 1 + 3 → P(B'_2) = 1/24
,2. 5, = 1 + 4 → P(B'_3) = 2/24
,3. 6, = 2 + 4 → P(B'_4) = 2/24
,4. 7, = 1 + 6 = 2 + 5 = 3 + 4 → P(B'_5) = 3/24
,5. 8, = 2 + 6 = 3 + 5 → P(B'_6) = 2/24
,6. 9, = 3 + 6 = 4 + 5 → P(B'_7) = 2/24
,7. 11, = 5 + 6 → P(B'_9) = 1/24
We have 8 possible results for the sum.
---------------------
Now, we want to know the value of the expected value of the numbers recorded by Kira.
By definition, the expected value is calculated by multiplying each of the possible outcomes by the likelihood that each outcome will occur and then summing all of those values.
The expected value of the number recorded by Kira will be:
[tex]E=\sum_{i\mathop{=}1}^6A_i\cdot P(A_i)+\sum_{i\mathop{=}1}^8B_i\cdot P(B_i)[/tex]Where:
• A_i represents the result of event A_i and P(A_i) its probability,
,• B_i represents the result of event B_i and P(B_i) its probability.
Using the data from above, we compute each of the sums.
A) For the first sum, we take into account that each event A_i has the same probability:
[tex]\sum_{i\mathop{=}1}^6A_i\cdot P(A_i)=(1+2+3+4+5+6)\cdot\frac{1}{12}=\frac{7}{4}=1.75.[/tex]B) For the second sum, we use each of the values of the sum and the probabilities of each sum:
[tex]\begin{gathered} \sum_{i\mathop{=}1}^8B_i\cdot P(B_i) \\ =3\cdot\frac{1}{24}+4\cdot\frac{1}{24}+5\cdot\frac{1}{24}+6\cdot\frac{1}{24}+7\cdot\frac{3}{24}+8\cdot\frac{2}{24}+9\cdot\frac{2}{24}+11\cdot\frac{2}{24}=\frac{95}{24}. \\ \end{gathered}[/tex]Summing the results of each sum, we get the following result for the expected value:
[tex]E=\frac{7}{4}+\frac{95}{24}=\frac{42}{24}+\frac{95}{24}=\frac{137}{24}\cong5.71.[/tex]AnswerThe expected value for the number recorded is 137/24 or approximately 5.71.
Identify The Function Family Sketched Below
Answers
The function family sketched is exponential function.
From the graph, we can find certain values of the function for certain x-values.
When x = 0, the function has value 1.
When x = 2, the function has value 4
When x = 3, the function has value 8.
When x = 4, the function has value 16
From this we can identify the function as the exponential function, f(x) = eˣ
because e⁰ = 1. i.e., exponential function has value 1 when x = 0 which satisfy the sketch of the function given.
Also the other options given as piecewise function, linear function and quadratic function.
A piecewise function will not have a continuous sketch, but here the sketch of the function is continuous. So it cannot be a piecewise function. A linear function will have the sketch as a straight line, but here it is not. So it is not a linear function. The function values given in the sketch does not satisfy the quadratic function also.
So the only option is the sketch is of the exponential function.
Learn more about exponential function at https://brainly.com/question/11464095
#SPJ1
(a) For each pool, write an expression for the amount of water in the
gool after x minutes
Two pools are being filled with water. To start, the first pool had 817 liters of water and the second pool was empty. Water is being added to the first pool at a
rate of 19 liters per minute water is being added to the second pool at a rate of 38 liters per minute.
Leta be the number of minutes water has been added.
Amount of water in the first pool (In liters) =
Amount of water in the second pool (in liters) =
(b) Write an equation to show when the two pools would have the
same amount of water
Answers
(a) Amount of water in the first pool (In liters) = (817 + 19x) liters
Amount of water in the second pool (in liters) = 39x liters
(b) An equation to show when the two pools would have the same amount of water is 817 + 19x = 38x.
Given:
For the First Pool :
Initial amount of water in the Pool = 817 liters
Water is being added to the first pool at a rate of 19 liters per minute.
Amount of water added after x minutes = 19x
So, Total amount of water after x minutes = (817 + 19x) liters
For the Second Pool:
It was empty initially.
Water is being added to the second pool at a rate of 38 liters per minute.
Amount of water added after x minutes = 38x
So, Total amount of water after x minutes = 38x liters
Now to determine an equation to show when the two pools would have the same amount of water.
817 + 19x = 38x
38x - 19x = 817
19x = 817
x = 817/19
x = 43 minutes
To know more about expressions visit:
https://brainly.com/question/18558269
#SPJ9
Salma has a points card for a movie theater.
• She receives 30 rewards points just for signing up.
• She earns 8.5 points for each visit to the movie theater.
• She needs 115 points for a free movie ticket.
Which equation or tape diagram could be used to represent the
context if a represents the number of visits Salma must make to earn
a free movie ticket?
Answers
using linear equation, Salma needs 10 number of visit to movie theater to get free movie ticket.
What is Linear equation?
A linear equation is one in which the variable's highest power is consistently 1. A one-degree equation is another name for it. A linear equation with one variable has the formula Ax + B = 0, which is its standard form. x is a variable, A is a coefficient, and B is constant in this situation. A linear equation with two variables has the formula Ax + By = C as its standard form. Here, the variables are x and y, the coefficients are A and B, and the constant is C.
linear equation is given by y= mx + c
Salma has 30 rewards points just for signing up and 8.5 points for each visit. the equation became 30+8.5v=115
30+8.5v=115
8.5v=115-30
8.5v=85
v=10
therefore, she needs 10 number of visits to movie theater.
To know more about Linear equation, visit
https://brainly.com/question/11897796
#SPJ9
if f(x)=-5, what is x?
Answers
Answer:
x = -5/f
Step-by-step explanation:
a) Divide both sides by f.
fx/f = -5/f
x = -5/f
Answer:
the answer is -5/f
Step-by-step explanation:
f(x)=fx
fx=-5
Divide both sides by f
fx/f =-5/f
x=-5/f
HOPE IT HELPED
Ozzie filled up the gas tank of his truck and headed out on a road trip. The x- axis on the graph below shows the number of miles Ozzie drove since filling up. The y- axis represents the number of gallons of gas in the truck’s gas tank. Find the x- and y- intercepts. Explain what the x- and y- intercepts mean for Ozzie.
Answers
Okay, here we have this:
Considering the provided information, we are going to find the x- and y- intercepts and explain its meaning. So we obtain the following:
Since the x-intercept is the point where the Graph intersects the x-axis (y=0) and the y-intercept is the point where the Graph intersects the y-axis (x=0), we have that:
x-intercept=(300, 0)
y-intercept=(0, 16)
Since the y-axis represents the number of gallons, and the x-axis time, then the y-intercept indicates that when filling the tank it was left with 16 gallons, and the x-intercept indicates that when emptying the tank had traveled 300 miles.
−[4.2−3(2.1)](−0.2)2+1
Answers
The calculation for x=0x=0 corresponds to the
point where the graph crosses the______-axis.
This is the point (______)
Answers
The calculation for x=0 corresponds to the point where the graph crosses the y-axis . This is the point (0,y) .
In the question ,
it is given that x=0 ,
When x=0 in a point (x,y) means , that point lies on the y -axis , and it is called as the y intercept .
Y intercept is defined as the point where the graph of a line crosses the y-axis .
the point on the y-axis will be (0,y) ,
So , the graph will cross the y-axis when x=0 , and that point will be (0,y).
and the value of y will be called as the y intercept of the graph .
Therefore , the calculation for y=0 corresponds to the point where the graph crosses the y-axis . This is the point (0,y) .
The given question is incomplete , the complete question is
The calculation for x=0 corresponds to the point where the graph crosses the________-axis. This is the point (______) .
Learn more about Graphs here
https://brainly.com/question/12495212
#SPJ1
please help!!!!!!!!!
Answers
Answer:
I believe the first one
Step-by-step explanation:
Brainliest pls?
What is the translation of y=x^2 shifted left 3 units
Answers
Original equation: y = x²
Tranformation rule:
horizontal translation c units leftt = f(x + c); so:
Modified equation: y = (x + 3)²
Find the perimeter of the following figure with the indicated dimensions.
Answers
Givens.
• The diameter of the semi-circle is 9.25 yd.
,• The other two sides of the triangle are 6.83 yd and 8.66 yd long.
First, find the perimeter of the semi-circle using the circumference formula.
[tex]\begin{gathered} C_{\text{semi}}=\frac{\pi\cdot d}{2}=\frac{\pi\cdot9.25yd}{2} \\ C_{\text{semi}}\approx14.52yd \end{gathered}[/tex]Second, add the two sides of the triangle to the circumference of the semi-circle.
[tex]\begin{gathered} P=14.52yd+6.83yd+8.66yd \\ P=30yd \end{gathered}[/tex]Therefore, the perimeter of the figure is 30 yards.Which is the best description of the graph of the derivative of a parabola that opens downward?
Answers
let's take a looksie hmmmm a parabola opening downwards in vertex form using constants of "h" and "k" will be like
[tex]y = -(x+h)^2 +k\implies y = -x^2-2hx-h^2+k \\\\\\ \cfrac{dy}{dx}=-2x-2h\qquad \impliedby \textit{straight line with a negative slope}[/tex]
W QUESTIONS 100 POINTS WILL GIVE BRAINLYEST
Answers
The areas for this problem are given as follows:
3. 681.25 ft².
4. 193 m².
Item 3The area of a rectangle of length l and width w is given by the multiplication of these dimensions, as follows:
A = lw.
For this problem, a rectangular deck of dimensions l = 18.75 ft and w = 15 ft is added, hence the area of the deck is:
A = 18.75 x 15 = 281.25 ft².
This area is added to the previous area, hence the total area is of:
A = 400 ft² + 281.25 ft² = 681.25 ft².
Item 4The figure is composed by:
A rectangle of dimensions 10 m and 18 m.A triangle of base 13 m and height 2 m.The area of the triangle is half the base times the height, while the area of the rectangle was presented in the previous item, hence the total area of the figure is:
A = 10 x 18 + 0.5 x 13 x 2 = 180 + 13 = 193 m².
More can be learned about areas at https://brainly.com/question/10489198
#SPJ1
Question 3 (1 point)Find the value of x so that the function has the given value.j(x) = 4x + 11; 13CBlank 1:
Answers
A function is a relation in which each input value (x-value) has one and only one output value (y-value).
You have the following Linear function:
[tex]j\mleft(x\mright)=4x+11[/tex]According to the explained in the problem, you must find an input value that gives you 13 as the output value. Knowing this, you can say that:
[tex]j(x)=13[/tex]Substitute this value into the given function:
[tex]\begin{gathered} j(x)=4x+11 \\ 13=4x+11 \end{gathered}[/tex]The final step is to solve for "x".
Therefore, the value of "x" so that the function has the given value 13, is:
[tex]\begin{gathered} 13-11=4x \\ 2=4x \\ \frac{2}{4}=x \\ \\ x=\frac{1}{2} \end{gathered}[/tex]Translate the sentence into an equation.
Four more than the quotient of a number and 8 equals 9.
Use the variable x for the unknown number
Answers
Answer:
(x / 8) + 4 = 9
Step-by-step explanation:
follow the instructions of the question and then write the values
A DVD is discounted by 15% and then from the already discounted price, a further 20% discount is given. If the price now is $300, find the original price?
Answers
The original price is $414.
What is discount?The difference between the purchase price and the item's par value is the discount. Discounts are different types of price reductions or deductions from a product's cost. It is frequently employed in consumer transactions when consumers receive discounts on a range of goods. The % discount rate is provided. a fair deduction from a debt account, typically done in exchange for cash or quick payment.
Given Data
A DVD is discounted by 15% and then from the already discounted price, a further 20% discount is given.
The price now is $300
x = 300 + 15% + 20%
x = 300 + [tex]\frac{15}{100}[/tex] + [tex]\frac{20}{100}[/tex]
x = 414
The original price is $414.
To learn more about discount, visit:
https://brainly.com/question/3541148
#SPJ9
The graph of an absolute value function f(x) = a|x| includes the point (1, 8). Complete the following statements.Another point on the graph is ( ?, 8).The value of a is
Answers
In a absolute value graph the value of y is the same in -x and x.
Then if the coordinates (x,y) one point is (1, 8), the graph have another point in (- 1, 8).To find the value of a you use one of the points (x,y) in the general form of absolute value:
( 1 , 8) x=1 f(x)= y=8
[tex]8=a\lvert1\rvert[/tex]As:
[tex]\lvert\pm a\rvert=a[/tex]You get:
[tex]8=a\cdot1[/tex]Then:
[tex]a=8[/tex]The equation for the graph with points (1 , 8) and ( -1, 8) is:
[tex]f(x)=8\lvert x\rvert[/tex]a= 8417 x 25 in partly product?
Answers
ANSWER
10425
EXPLANATION
We want to multiply the numbers given by using product of parts.
To do this, we will split the number into hundred, tens and units. That is:
[tex](400\text{ + 10 + 7) }\cdot\text{ 25}[/tex]So that will be:
[tex]\begin{gathered} (400\cdot\text{ 25) + (10 }\cdot\text{ 25) + (7 }\cdot\text{ 25)} \\ =\text{ 10000 + 250 + 175} \\ =\text{ 10425} \end{gathered}[/tex]That is the answer.
PLEASE HELP ASAP 50 POINTS, I will mark brainlyest i would appreciate if shown how to do it with steps
If m∠SPR = 61 and m∠SPQ = 121, what is m∠QPR?
Answers
Answer:
121 - 61 = 60 degrees
Step-by-step explanation:
Answer:
∠QPR=60
Step-by-step explanation:
∠SPQ-∠SPR=∠QPR
121-61=∠QPR
60=∠QPR
Fine the unknown quantity in the following percent problem using the formal RxB=A. Round your answer to two decimal places, if necessary.
50% of what number is 60?
Answers
Answer:
120
Step-by-step explanation:
You want to find a number such that 50% of it is 60, using the formula R×B = A.
Percent relationAn amount is found by multiplying the rate by the base. That is described by the formula ...
R × B = A
Here, we're given the amount and the rate, and we want to find the base. We can fill in the given numbers and solve for B.
50% × B = 60
B = 60/0.50 . . . . . . divide by the rate
B = 120 . . . . . . . simplify
50% of 120 is 60.
James bought a plant and planted it in a pot near a window in his house. The initial height of the plant was 6 inches and it grew at a rate of 3 inches per month. Make a table of values and then write an equation for H, in terms of t, representing the height, in inches, of the plant t months after James bought the plant.
Answers
initial height = 6
Rate of growth = 3 inches per month
Table:
Month height 1
96+3(3) = 91
2 6 + 3 (2)=12
3 6+3 (3) = 15
Apply the formula:
H = H0 + rt
Where:
H0 = initial growth
r = growing rate
t= number of months
Replacing:
H(t) = 6 + (3 t)
Hello! May I please have some help with this?
Answers
Answer:
12
Step-by-step explanation:
1/5 (x-2)= 1/10 (x +6)
Answers
Answer: The answer is 10
Step-by-step explanation:
Distribute 1(x-2)/5 = 1(x+6)/10
x-2/5 = x+6/10
Multiply by 10 on each side
2(x - 2) = x + 6
Distribute
2x - 4 = x + 6
Add 4 on each side
2x= x + 10
Subtract x
x = 10
Answer: x=10
Step-by-step explanation:
1/5(x-2)=1/10(x+6)
Distribute and multiply first
(1/5*x) -(1/5*2)=(1/10*x) +(1/10*6)
1/5x-2/5=1/10x+6/10
We do not have the same denominators on both sides. 5 goes into 10 two times so we will multiply everything on the left by 2 to get a common denominator.
2/10x-4/10=1/10x+6/10
Subtract 1/10x from both sides
1/10x-4/10=6/10
Add 4/10 to both sides
1/10x=10/10
1/10x= 1
Multiply both sides by 10/1 (the fraction inverse) to get rid of the fraction.
(10/1)(1/10x) =(1)(10/1)
x= 10
Check work:
1/5(x-2)=1/10(x+6)
Substitute your answer for x
1/5(10-2)=1/10(10+6)
1/5(8)=1/10(16)
8/5=16/10
Simplify 16/10 by dividing by 2
8/5=8/5
can you help me please
Answers
The given expression is 4.9 x 10⁻¹¹.
What is a mathematical expression?
An expression, often known as a mathematical expression, is a limited collection of symbols that have been well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and groupings can all be represented by mathematical representations, which can also be used to indicate the logical syntax's sequence of operations and other features. However, in contemporary mathematics, and particularly in computer algebra, formulae are seen as expressions that, depending on the values supplied to the variables present in the expressions, can be evaluated to true or false.
The given expression can be solved as follows
(7x10⁻⁶)(7x10⁻⁶)
= (7x7) x (10⁻⁶x10⁻⁶)
= 49 x 10⁻¹²
= 4.9 x 10⁻¹¹
To know more about an expression, click on the link
https://brainly.com/question/28244829
SPJ9