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
Evaluate each of the following expression giving the answer in scientific notation
Answers
Answer:
Step-by-step explanation:
[tex]A) 5.3*10^{4}+4.7*10^{4}= (5.3 + 4.7)*10^{4}=10*10^{4}=10^{5}\\\\\\B) 3.7*10^{6} - 3.3*10^{6}=(3.7-3.3)*10^{6}=0.4*10^{6}=4.0*10^{-1}*10^{6}=4.0*10^{6-1}=4.0*10^{5}\\\\\\C) 4.8*10^{-3}+6.3^{-2}=4.8*10^{-2}*10^{-1}+6.3*10^{-2}\\\\=(4.8*10^{-1} +6.3)*10^{-2}\\\\=(0.48+6.3)*10^{-2}\\\\=6.78*10^{-2}\\\\\\D)6.6*10^{-5}-6.1*10^{-4}=6.6*10^{-1}*10^{-4}-6.1*10^{-4}\\\\=(6.6*10^{-1}-6.1)*10^{-4}\\\\=(0.66-6.1)*10^{-4}\\\\= (-5.44)*10^{-4}[/tex]
Simplify the following expressions without using calculator 8/(2sqrt(6) + 3) - 4/(2sqrt(6) -3)
Answers
Step-by-step explanation:
[tex] \tt \longrightarrow \dfrac{8}{2 \sqrt{6} + 3 } - \dfrac{4}{2 \sqrt{6} - 3 } \\ \\ \tt \longrightarrow \dfrac{8(2 \sqrt{6} - 3) - 4(2 \sqrt{6} + 3)}{(2 \sqrt{6} + 3)(2 \sqrt{6} - 3 ) } \\ \\ \tt \longrightarrow \dfrac{16\sqrt{6} - 24 - 8 \sqrt{6} - 12}{(2 \sqrt{6} ) {}^{2} - (3) {}^{2} } \\ \\ \tt \longrightarrow \dfrac{8\sqrt{6} - 36}{24 - 9 } \\ \\ \tt \green{\longrightarrow \dfrac{8\sqrt{6} - 36}{15 }} [/tex]
Write an inequality that matches this statement: In the football game last week, the
Pittsburgh Steelers scored 45 points. The Miami Dolphins did not score as much as the
Steelers.
Answers
Answer:
y < 45
Step-by-step explanation:
Pittsburgh Steelers scored 45 points.
The Miami Dolphins will be represented by a variable y.
y scored less than 45 points.
y is less than 45
y < 45
LENGHT OF THE RECTANGLE IS 7 LESS THAN THE TWICE OF THE BREADTH THEN FIND ITS DIMENSIONS IF THE PERIMETER IS 40 CM
Answers
Step-by-step explanation:
Length of rectangle = 7 less than the twice the breadthPerimeter = 40 cmLet us say the breadth as b and length as l.
→ Length = 7 less than the twice the breadth
→ l = 2b - 7 ...(1)
Now, according to the question,
→ Perimeter of rectangle = 2(l + b)
→ 40 = 2(2b - 7 + b)
→ 40 = 2(3b - 7)
→ 40 = 6b - 14
→ 40 + 14 = 6b
→ 54 = 6b
→ 54 ÷ 6 = b
→ 9 m = Breadth
Now, finding length.
→ l = 2b - 7
→ l = 2(9) - 7 m
→ l = 18 - 7 m
→ Length = 11 m
A weather forecaster says the temperature will be about -5 degrees celcius "give or take" 10 degrees celcius. what is the greatest and least possible temperature?
Answers
Answer:
5 is the greatest and -15 is the least.
Step-by-step explanation:
The expression "give or take" means to add or to subtract on both sides. Since the estimated forecast is -5 degrees celcius. We can add 10 and subtract 10 to find the least and greatest possible temperature. -5-10=-15. -15 degrees celcius is the least possible temperature. -5+10=5. 5 degrees celcius is the greatest possible temperature.
Hope this helps!
A car is moving at a rate of 72 km/hr. How far does the car move when it stops after 4 seconds? anwer is 125m
please help me to solve it .l have been stuck here in this question for 2hrs.i am new and l need ur help
Answers
1
Select the correct answer from each drop-down menu.
The function () = 13 has been transformed, resulting in function h.
h(t) = -(1 + 2)2 – 4
To create function h, function fwas translated 2 units
„. translated 4 units
and reflected across the
Answers
Answer:
To create function h, function f was translated 2 units right , translated 4 units up and reflected across the x axis
Step-by-step explanation:
Given
[tex]f(x) = x^3[/tex]
[tex]h(x) =-(x + 2)^3 - 4[/tex]
Required
Complete chart
First: f(x) was translated right by 2 units
The rule of right translation is [tex](x,y) \to (x + 2,y)[/tex]
So, we have:
[tex]f'(x) = f(x + 2)[/tex]
[tex]f'(x) = (x + 2)^3[/tex]
Next: f'(x) was translated up by 4 units
The rule of down translation is [tex](x,y) \to (x,y+4)[/tex]
So, we have:
[tex]f"(x) = f'(x) +4[/tex]
[tex]f"(x) = (x + 2)^3 +4[/tex]
Lastly, f"(x) was reflected across the x-axis;
The rule of this reflection is: [tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]h(x) = -f"(x)[/tex]
[tex]h(x) = -[(x+2)^3 + 4][/tex]
Remove bracket
[tex]h(x) = -(x+2)^3 - 4[/tex]
Marcos decide abrir una cuenta de ahorro para financiar en el futuro los estudios de su hijo recien nacido. Por suerte, el banco le ofrecio la tasa de interes anual de 4,8%. El monto que deposito Marcos en la cuenta fue de $1000 000.Si no retira el dinero ni los intereses, ¿que capital tendra a los 5 años? ¿que capital tendra cuando su hijo cumpla 18 años?
Answers
Answer:
Resultados debajo
Step-by-step explanation:
Dada la siguiente información:
Tasa de interes anual (i)= 4,8%
Inversión inicial (VP)= $1.000.000
Para calcular el valor final (VF), debemos usar la siguiente formula:
VF= VP*(1 + i)^n
Para 5 años:
VF= 1.000.000*(1,048^5)
VF= $1.264.172,72
Para 18 años:
VF= 1.000.000*(1,048^18)
VF= $2.325.429,02
What is the common solution for the equations y = 3x + 1 and y = x + 3? Write your answer an ordered pair!
Answers
Answer:
(1,4)
Step-by-step explanation:
Hi there!
We're given the system:
y=3x+1
y=x+3
We need to find the common solution (the point at which the lines intersect); we do this by finding the value of the variables.
Let's start with x
Since both equations equal y, we can make 3x+1 and x+3 equal to each other, because of a property known as transitivity (if a=b and b=c, then a=c)
3x+1=x+3
subtract 1 from both sides
3x=x+2
subtract x from both sides
2x=2
divide both sides by 2
x=1
we found the value of x
now we need to find the value of y
We do this by plugging x as 1 into either one of the equations to solve for y
let's use y=x+3 for example
substitute x as 1
y=1+3
add
y=4
we found the value of y.
Your question asks for the answer to be written as an ordered pair, which will be (1,4)
Hope this helps!
Answer:
(1, 4 )
Step-by-step explanation:
Given the 2 equations
y = 3x + 1 → (1)
y = x + 3 → (2)
Substitute y = 3x + 1 into (2)
3x + 1 = x + 3 ( subtract x from both sides )
2x + 1 = 3 ( subtract 1 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (2)
y = 1 + 3 = 4
solution is (1, 4 )
On a coordinate plane, 4 lines are shown. Line A B goes through (negative 4, 3) and (4, 3). Line C D goes through (negative 3, 0) and (3, 2). Line F G goes through (negative 3, negative 1) and (3, negative 3). Line H J goes through (negative 1, negative 4) and (1, 2).
Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y-intercept at (0, 3)?
line AB
line CD
line FG
line HJ
Answers
Answer:
fg
ur welcome and im out
Step-by-step explanation:
Question 5Multiple Choice Worth 1 points)
(02.03 MC)
Choose the equation that represents the graph
-answer choices
y=x-3
y=-x+3
y=-x-3
y=x+3
Answers
Answer:
i think it would be y=x+3
Step-by-step explanation:
Which of the following is a point-slope equation for a line with the point
(-2,4) and a slope of 3?
A. y - 4 = 3(x - 2)
B. y - 4 = 3(x+2)
C. y-2 = 3(x-4)
D. Y + 2 = 3(x-4)
Please answer asap
Answers
Answer:
B
Step-by-step explanation:
point-slope formula: y-y1 = m(x-x1)
y1 = 4 ; x1 = -2 ; m (slope) = 3
plugging it in to the formula, you get y-4 = 3(x-(-2)
then you get y-4 = 3(x+2)
Jason and Donny painted a house and received $1.200. To complete the painting job Jason painted 4 hours 25 minutes and Donny spent 2 hours and 15 minutes. If they split the $1.200 in proportion to the amount of time each spent painting, how much did Donny receive?
Answers
Answer:
$405
Step-by-step explanation:
Total hours = 4 hrs 25 min + 2 hrs 15 min = 6 hrs 40 min = 400 min
4 hrs 25 min = 265 minutes
2 hrs 15 min = 135 min
Donny's share = [tex]\frac{135}{400} of 1200[/tex]
[tex]=\frac{135}{400}*1200=135*3\\\\= 405[/tex]
Find the area of the circle. (Picture attached). Thank you!!
Answers
Answer:
254.5cm²
Step-by-step explanation:
I assumed that the units is cm.
hope it helps!!!
a tank is 2.7m long 5.0m wide 3.2m high how many liters can it hold when full
Answers
Answer:
1 liter = 1,000 cubic cm.
the tank is 270 cm by 500 cm by 320 cm
270 * 500 * 320 = 43,200,000 cc =
43,200 liters =
43.2 cubic meters
Step-by-step explanation:
holaaandaaa cuanto es 22+22
Answers
Step-by-step explanation:
22+22=44
Es una pregunta fácil, incluso un niño pequeño puede responder a esto.
a=10^x, b=10^yanda^y^*b*x=100then2xy=?
Answers
Answer:
Here is your answer
Step-by-step explanation:
xy = 1
Hope you like it : )
solve:
2×+3=5
class 7th chapter simple equation
Answers
Answer:
x=1
Step-by-step explanation:
2x+3=5
2x=5-3
=2
x= 2÷2
= 1
Answer:
x = 1
Step-by-step explanation:
2x + 3 = 5
2x = 2
x = 1
If this helps you, please mark brainliest!
Have a nice day!
Find the missing angle
Answer option
30 degrees
130 degrees
Answers
Given:
The measure of one angle in the figure is 50 degrees.
To find:
The missing angle in the figure.
Solution:
Let x be the measure of the missing angle. Then
[tex]x+50^\circ=180^\circ[/tex] [Supplementary angles]
[tex]x=180^\circ-50^\circ[/tex]
[tex]x=130^\circ[/tex]
Therefore, the measure of the missing angle in the figure is 130 degrees. Hence, the correct option is B.
Help me asp thank you
Answers
Answer:
23 - ( 9 - 5 )²
= 23 - (4 )²
= 23 - 16
= 7
hope it is helpful to you ☺️
The circle below has center H. suppose mIJ=84. What is mIGL
Answers
Answer:
m∠IGJ = 42°
Step-by-step explanation:
It's given in the question,
m(arc IJ) = 84°
And we have to get the measure of ∠IGJ.
By using the property of inscribed angle and the intercepted arc.
"Measure of an inscribed angle is half of the measure of intercepted arc"
m(arc IJ) = 2(m∠IGJ)
84° = 2(m∠IGJ)
m∠IGJ = 42°
Quick, What is the value of x?
A. 2
B. 3
C. 6
D. 7
Answers
Answer:
Im pretty sure the answer is b using the formula
what is the solution to the equation below?
-3 + sqrt 2x - 1 =8
Answers
Answer:
[tex]x=61[/tex]
Step-by-step explanation:
[tex]-3+\sqrt{2x-1} =8[/tex]
[tex]\sqrt{2x-1} -3=8[/tex]
Add 3 to both sides of the equation:
[tex]\sqrt{2x-1}-3+3=8+3[/tex]
[tex]\sqrt{2x-1}=11[/tex]
Solve the square root:
[tex]\sqrt{2x-1}=11[/tex]
[tex]2x-1=11^{2}[/tex]
[tex]2x-1=121[/tex]
[tex]2x-1+1=121+1[/tex] {add 1 to both sides}
[tex]2x=122[/tex]
[tex]x=122/2[/tex]
[tex]x=61[/tex]
hope this helps.......
Emily has pledged to start a healthy lifestyle and so she started walking to keep fit. On Monday, she walked 2/4 of a mile, and on Tuesday she walked 5/6 of a mile. How far did she walk in her first two days of exercise?
Quickkkkkk
Answers
Answer:
1 [tex]\frac{1}{3}[/tex] miles.
Step-by-step explanation:
2/4 + 5/6 = ?
We must convert these fractions to the same denominator so we can add fractions. Least common multiple of 4 and 6 is 12.
2/4 = 6/12
5/6 = 10/12
6/12 + 10/12 = 16/12
16/12 = 4/3
4/3 = 1 [tex]\frac{1}{3}[/tex]
I agree with the answer above
PLZ HELP! I will give brainliest!!!
Answers
Answer: x axis is time in hours, y axis is water level in centimeters
I can't see the rest of the problem since you didnt show it
Step-by-step explanation:
Kevin has a part time job.He earns$8 an hour.He wants to buy a new bike it is $176 how may hours does he need to buy it
Answers
Answer: 22 hours
Step-by-step explanation:
Given
Kevin earns $8 per hour
The cost of bike is $176
For Kevin to buy that bike, he needs to work atleast
[tex]\Rightarrow \dfrac{176}{8}=22\ \text{hours}[/tex]
So, Kevin must work 22 hours to buy that bike.
plz help me I will give u branist and follow u and also give u like plz help me
Answers
Answer:
hi the answer is the first option, value assigned by the incorporation documents
please give brainliest
tujuh di kali tujuh sama dengan?
Answers
Answer:
49Step-by-step explanation:
➡️ Pertanyaan:
7 × 7
➡️ Penyelesaian:
7 × 7
49 ✅
[tex] \: [/tex]
Answer:
49
[tex] \: \: \: \: \: \: \: \: [/tex]
Find the length of “b”, to the
nearest tenth, using the
Pythagorean Theorem.
Answers
Answer: b= 11.2
10^2 + b^2 = 15^2
100 + b^2 = 225
b^2 = 125
b= [tex]\sqrt{125}[/tex]
b= 11.2
Step-by-step explanation:
Answer:
b = square root of 125
Put into calculator and put to 1dp
Step-by-step explanation:
Pythagorean theorem is
a^2 + b^2 = c^2
The a and b are the two short sides and c is always the hypotenuse
We just put the numbers in
10^2 + b^2 = 15^2
Now we can rearrange so that b^2 is by its self on the left side
b^2 = 15^2 - 10^2
Now just solve by putting into calculator
b^2 = 125
And finally square root to get b^2 down to b
b = square root of 125
Put into calculator and put to 1dp
Help me or i will kill Shrek!
Answers
Answer:
pls dont kill my dad.. i cant help but please. hes the only thing i have left man
Step-by-step explanation:
i would so help if i could but i just really dont want shrek dead