Answers
Answer:
[tex]V=83.73\ in^3[/tex]
Step-by-step explanation:
The capsule is in the shape of two hemispheres and cylinder.
The volume of the container = volume of two hemispheres + volume of cylinder
The radius of the container, r = 2 in
Height of the cylindrical part, h = 8 in - 4 in = 4 in
So,
[tex]V=2\times \dfrac{2}{3}\pi r^3+\pi r^2 h\\\\=\dfrac{4}{3}\pi r^3+\pi r^2 h\\\\V=\pi r^2 (\dfrac{4}{3}r+h)[/tex]
Put all the values,
[tex]V=3.14\times 2^2 (\dfrac{4}{3}\times 2+4)\\\\V=83.73\ in^3[/tex]
So, the volume of the container is equal to [tex]83.73\ in^3[/tex].
Related Questions
D and E are points on sides AB and AC respectively of triangle ABC such that DE || BC. If AD = x-1, DB = x – 3, AE = x + 3 and EC = x , the value of x is:
Answers
9514 1404 393
Answer:
9
Step-by-step explanation:
The triangles are similar, so corresponding sides are proportional.
AE/AD = EC/DB
(x+3)/(x -1) = x/(x -3)
x^2 -9 = x^2 -x . . . . . . . cross multiply
x = 9 . . . . . . . . . . . add x+9-x^2 to both sides
Find y.
Round to the nearest tenth:
31°
у
х
400 ft
y = [ ? ]ft
Answers
consider the polygon shown. determine the value of y.
Answers
Answer:
70 degrees
Step-by-step explanation:
It's a whole 540 degrees
So y = 70 degrees
a telephone pole is 24 feet tall
Answers
Answer:i honestly dont know just trying to get points
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer and Step-by-step explanation:
Mandy travels more miles.
We determine this by multiplying the distance from home by the number of trips.
For Mandy, she lives 10 miles away from school, and takes 9 trips. 9 times 10 is 90 miles.
For Matt, he lives 8 miles away from school, and takes 11 trips. 11 times 8 is 88 miles.
Many travels 2 more miles in total than Matt.
#teamtrees #PAW (Plant And Water)
Answer:
mandy
Step-by-step explanation:
so mandy has 10 miles and 9 trips to school matt has 8 miles and 11 trips to school so mandy is 10x9=90
and matt is 11x8=88
mandy=90
matt=88
For the function Rx) = 1/x+1 which of these could be a value of F(x) when x is
close to -1
O A. -0.01
OB. 0.01
O c. 1
O D. -10,000
Answers
Answer:
D. -10000
Step-by-step explanation:
you really need to copy or type the question better.
I can only assume what you really mean.
I guess, you want to say that F(x) = 1/(x+1)
when the value for x gets close to -1, the whole expression gets close to 1/0, which would bring numbers with larger and larger absolute values, leading to infinity.
you also did not say from what direction we are getting closer to -1.
we could come from -2 and move closer and closer to -1.
in this case (x+1) would always be smaller than 0 (negative sign).
or we could come from +1 and then 0 and move towards -1, in which case (x+1) would airways be bigger than 0 (positive sign).
anyway, when being closer and closer to -1, the absolute value of the resulting functional values will get bigger and bigger.
the only answer option with a larger absolute value is D (-10000).
so, that had to be the solution, and it also means that we are coming from -2 to -1, and the sign is negative.
which of the following is a geometric sequence?
Answers
Answer:
D
Step-by-step explanation:
notice how everything goes up by 3? that's a sequence.
If b=3-2s and A= -2s^2+2s+3 find an expression that equals 2b+2A in standard form
Answers
I think this might be the answer you’re looking for so best of wishes and good luck!!
Carl starts to use the standard algorithm to solve 2,375 × 6. His work is shown below.
What number should Carl replace y with?
Answers
y=2
can someone help me I don't understand
Answers
Answer:
(a) 165 m/min
(b) 107.14m/min
Step-by-step explanation:
The slope of the distance time graph gives speed.
Here, the speed of the segment A is
[tex]v_A= \frac{900-0}{4-0}=225 m/min[/tex]
The speed of segment B is
[tex]v_B= \frac{1500- 900}{14-4}= 60 m/min[/tex]
(a) The change in speed is
= 225 - 60 = 165 m/min
(b) The average speed is defined as the ratio of total distance to the total time.
So, the average speed is
[tex]= \frac{1500}{14}= 107.14 m/min[/tex]
I will pay for the answer.
Answers
Answer:
D
8x^2-12x+5
thanx for youer sug
Answer:
[tex]8x^2-12x+5[/tex]
Step-by-step explanation:
This is the same as saying h(g(x)). All you do is take the g(x) equation and plug that in for x in the h(x) equation.
h(x) = 4x+1 Plug in g(x) equation for x
h(g(x)) = [tex]4(2x^2-3x+1)+1[/tex] Distribute the 4 and simplify
h(g(x)) = [tex]8x^2-12x+5[/tex]
Which function vertex form is equivalent to f(x)=x^2+6x+3?
Answers
Answer:
y = (x + 3)² - 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
f(x) = x² + 6x + 3
Using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
f(x) = x² + 2(3)x + 9 - 9 + 3
= (x + 3)² - 6 ← in vertex form
Lori has 12 1/2 pounds of flour. She needs 1 3/4
pounds of flour
for each batch of cookies. How many batches can Lori make?
Answers
He surface area of a piece of paper is 692 cm2. Use the fact that 10 mm = 1 cm to convert this area to mm2. Give your answer as a number. Do not type the units in the space below.
Answers
Answer:
Surface area = 6.92 cm²
Step-by-step explanation:
Given the following data;
Surface area = 692 cm²
To convert the area in cm² to mm²;
Conversion:
10 mm to cm = 10/10 = 1 cm
1 mm² to cm² = 1/100 = 0.01 cm²
692 mm² to cm² = 692 * 0.01 = 6.92 cm²
Therefore;
692 mm² = 6.92 cm²
In conclusion, the surface area of the piece of paper is 6.92 square centimeters.
Find mZSGH if mZFGH = 108°
Answers
Answer:
22
Step-by-step explanation:
FGH - FGS = SGH
108 - 86 = 22
Answer:
∠ SGH = 22°
Step-by-step explanation:
∠ FGS + ∠ SGH = ∠ FGH , that is
86° + ∠ SGH = 108° ( subtract 86° from both sides )
∠ SGH = 22°
Financial software can do all of the following except ____.
A.
prepare your taxes
B.
apply for loans
C.
keep track of expenses
D.
monitor your savings
Answers
Answer: Apply for loans
Step-by-step explanation:
I just took the quiz off gradpoint :) trust me its right!!!!
Which of the following are necessary
Answers
Step-by-step explanation:
B) opposite sides are congruent !!!!!!
Dado un rectángulo cuya base, lado mayor es 15 cm y cuya altura, lado menor, es 10 cm. Calcular el perímetro y el área
ayuda es para hoy doy 5 estrellas
Answers
Answer:
Área de un rectángulo = 150 cm²
El perímetro de un rectángulo = 50 cm
Step-by-step explanation:
Área de un rectángulo = largo × ancho (alto)
= 15 cm × 10 cm
= 150 cm²
El perímetro de un rectángulo = 2L + 2W
Donde L = longitud = 15 cm
W = Ancho = 10 cm
= 2 (15 cm) + 2 (10 cm)
= 30 + 20
= 50cm
-6d - 4e + 4 + 4d + 6e - 6
Answers
Answer:
-2d + 2e - 2
Step-by-step explanation:
Combine like terms. Like terms are terms with the same variable as well as same amount of said variables. Set the expression:
4d - 6d + 6e - 4e + 4 - 6
(4d - 6d) = -2d
(6e - 4e) = 2e
(4 - 6) = -2
-2d + 2e - 2 is your answer.
~
-6d+4d-4e+6e+4-6
Solve the equation:
The answer
=-2d+2e-2
Use the drawing tools to form the correct answer on the graph
Graph the line that represents this equation:
y +2 = 1/2 (x + 2)
Answers
Step-by-step explanation:
answer is in photo above
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is constant.
The graph of the line y +2 = 1/2 (x + 2), can be drawn as shown below. Therefore, the line will be a straight line passing through (0,-1) on the y-axis, and (2,0) on the x-axis.
Learn more about Equation of Line:
https://brainly.com/question/21511618
#SPJ2
Solve 2 ≤ 2x + 4 < 10 for x.
–1 ≤ x < 3
1 < x < 3
–1 < x < 3
1 ≤ x < 3
Answers
Answer:
-1 ≤ x < 3
Step-by-step explanation:
2 ≤ 2x + 4 < 10
Subtract 4 from all sides
2-4 ≤ 2x + 4-4 < 10-4
-2 ≤ 2x < 6
Divide all sides by 2
-2/2 ≤ 2x/2 < 6/2
-1 ≤ x < 3
Make 'r' the subject of this formula: 3r - 5 = p
Answers
Answer:
hey I am not about what the question says but I think this is the answer:
3r=p+5
so the subject is 3r
3r = p + 5
r = p + 5/3
How many eighths does it take to equal 1/4 model
Answers
Answer:
2 eighths.
Step-by-step explanation:
Answer:
2 eighths
Step-by-step explanation:
1/8 + 1/8 = 2/8 or 1/4
A purse regularly priced at $70 is on sale for 20% off. What is the scale price of the purse?
Answers
if the time is 7:32 what time will it be in 9 hours and 25 minutes?
Answers
Answer:
The time would be 4:59
Step-by-step explanation:
Using f(x) = 8x + 5 and g(x) = 7x - 2, find:f(g(4))
Answers
Answer:
f(g(4)) = 213
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationComposite FunctionsStep-by-step explanation:
Step 1: Define
Identify
f(x) = 8x + 5
g(x) = 7x - 2
Step 2: Find f(g(4))
Substitute in x [Function g(x)]: g(4) = 7(4) - 2Multiply: g(4) = 28 - 2Subtract: g(4) = 26Substitute in function value [Function f(x)]: f(g(4)) = 8(26) + 5Multiply: f(g(4)) = 208 + 5Add: f(g(4)) = 213[tex]\huge \qquad \boxed{\underline{\underbrace{\mathcal\color{gold}{Answer}}}}[/tex]
Here,
f(x) = 8x + 5 and g(x) = 7x - 2,
we have to find the f(g(4))
1st we have to solve the g(x)
g(x)=7x-2g(4)=7(4)-2g(4)=28-2g(4)=26Now substitute the functional value,
f(g(x))=8x+5f(g(4))=8(26)+5f(g(4))=208+5f(g(4))=213.°. The value of f(g(4)) is 213.
Parallelogram ABCD is adjacent to rhombus DEFG, as shown below, and FC intersects AD at H.
B
D
H
E
If m Z B=118 and m2 AHC=138, determine and state m GFH.
Answers
Answer:16,284
Step-by-step explanation:
What is the simplified value of the exponential expression 273?
不
1
Ο Ο Ο
9
Answers
Answer:
The answer is 3
For the steps, Im leaving it blank for you to figure it out first.
If you really need help, ask anytime and I'll reply as soon as i can :)
Simplify (12^0)(12^6). Write your answer using an exponent. Explain how you found your answer.
Answers
Step-by-step explanation:
(12^0)(12^6)
1 ×12⁶. (a⁰=1, a is a number)
=12⁶
Math.........
I need
Answers
Answer:
She had to had like 20 since (-17-3)= -20 right the question asked how much she had before, she had 20 if not 28, since the mother gave her another twenty but as a result, in the beginning, she had around 28 dollars in order to spend 17 on a book and 3 on a cupcake so she still had 8 dollars, and the 20, well the mother handed her 20.
(I hoped I made sense, and that I helped!:)
