Step-by-step explanation:
Volume of a sphere is given by
[tex]V = \frac{4}{3} \pi {r}^{3} [/tex]
Where r is the radius of the sphere
From the question
radius = 41 in
Substitute the value into the above formula
We have
[tex]V = \frac{4}{3} \times {41}^{3} \pi[/tex]
[tex] = \frac{275684}{3} \pi[/tex]
= 288695.6097
We have the final answer as
Volume = 288695.6 in³ to the nearest tenthHope this helps you
The answer on deltamath is
288695.6 in³
What is the sum of the geometric series 2+6+18+...+486?
Answer:
728
Step-by-step explanation:
2+6+18+...+486
a=2
r=6/2=3
[tex]a_{n}=ar^{n-1}\\486=2(3)^{n-1}\\3^{n-1}=486/2=243=3^5\\n-1=5\\n=5+1=6\\S_{6}=2\frac{3^6-1}{3-1} \\=2\frac{729-1}{2}\\=728[/tex]
Roger currently makes $11 per hour after taxes. He works 34 hours per week. If Roger works 45 weeks out of the year, how much money will he earn during that time?
Answer:
$16,830 for the year
Step-by-step explanation:
34 hours per week at $11 per hour comes to $374 total per week.
Multiplying this by 45 weeks yields $16,830 for the year.
Someone please help me. ASAP
Answer:
z = -7.5
Step-by-step explanation:
3.5z -2.7z = -6
Combine like terms
.8z = -6
Divide each side by .8
.8z/.8 = -6/.8
z = -7.5
Answer:
z= 12 over 47
Step-by-step explanation:
first you have to collect like terms..then that will get you -23.5z=-6 then divide both sides by -23.5z..then you should get your answer
What is the range of the function y= e^4x
Answer:
The answer would be {y|y>0}
Step-by-step explanation:
hope this helps
Complete 5-8 for 15 points.
find the area of a regular octagon with a radius of 20
1325.5
im not too sure, but i think that is the answer.
Answer:
Area = 2 x Sqrt (2) x r^2
Area = 2 x sqrt(2) x 20^2
Area = 2 x 1.414 x 400
Area = 1131.37
Step-by-step explanation:
help please . will give brainliest
Answer:
A
Step-by-step explanation:
the last number is the y intercept so the intercept in the line is -3.5 so I just matched them up.
The number of cameras produces since May at a plant can be modeled by the function N(m)=50m+600 and the cost per camera can be modeled by C(m)=4m^2-15m+45, where m is the number of months since May. According to this model, what is the total amount of revenue generated by the plant's camera production on September?
Answer:
39200
Step-by-step explanation:
Revenue = number of cameras * cost
R(m) = N(m) * C(m)
= (50m+600) * (4m^2-15m+45)
The months since may is June July August September = 4 months
R(4) = (50*4+600) * (4*4^2-15*4+45)
(200+600) * (64-60+45)
800*49
39200
Answer:
39,200
Step-by-step explanation:
September is 4 months after may, so m = 4
No. of cameras:
N(4)=50(4)+600 = 800
Cost per camera:
C(4)=4(4²)-15(4)+45 = 49
Total cost:
N × C
800 × 49
39200
please answer from the attachment
Look at the attached picture
Hope it will help you..
Good luck for the test...
(◕ᴗ◕✿)(ʘᴗʘ✿)
If Quadrilateral JKLM is a square, where points J(0, 5), K(4, 7), L(?, ?) and M(2, 1) are known. Find the coordinates of point L
Group of answer choices
(7, 2)
(6, 3)
(5, 4)
(4, 4)
Answer:
THANKS FOR THE POINTS ^^^^
Step-by-step explanation:
(6,3)
What is the product of (-a + 3)(a + 4)?
Answer:
a² - a + 12
Step-by-step explanation:
(see attached)
using the Foil Method :
(-a + 3)(a + 4)
= (-a)(a) + (-a)(4) + (3)(a) + (3)(4)
= -a² - 4a + 3a + 12
= -a² - a + 12
Brenda and Jasmine are selling cookie dough for a school fundraiser. Customers can buy packages of chocolate chip cookie dough and packages of double chocolate cookie dough. Brenda sold 6 packages of chocolate chip cookie dough and 4 packages of double chocolate cookie dough for a total of $86. Jasmine sold 3 packages of chocolate chip cookie dough and 5 packages of double chocolate cookie dough for a total of $85. What is the cost each of one package of chocolate chip cookie dough and one package of double chocolate cookie dough?
Answer:
one package = $5. / double package= $14
Step-by-step explanation:
Lets say x is a package and y a double package
6x + 4y = $86
2(3x + 5y = $85)
6x + 10y = $170
-6x -4y. -86
6y = $ 84
÷6. ÷6
y= $14
6x +4y = $86
6x + 4($14) = $86
6x + $56 = $86
-56. -56
6x = $30
÷6. ÷6
x = $5
Answer:
chocolate chip = 5
double chocolate chip=14
Step-by-step explanation:
c = chocolate chip
d = double chocolate chip
Brenda
6c+4d = 86
Jasmine
3c+ 5d = 85
Multiply the second equation by -2
-6c -10d = -170
Add this to the first equation
-6c -10d = -170
6c+4d = 86
--------------------
- 6d = -84
Divide by -6
-6d /-6 = -84/-6
d =14
Now we can find c
3c+ 5d = 85
3c+5*14 = 85
3c +70 = 85
Subtract 70
3c = 85-70
3c = 15
Divide by 3
3c/3 = 15/3
c = 5
A bag contains six red marbles and three
blue marbles. You randomly pick a
marble and then pick a second marble
without returning the marbles to the bag.
Both marbles are red.
answer: the answer is
1/72
a boys buys 9 apples for Rs 9.60 and sells them at 11 for rs 12 find his gain or loss percent
what is the domain and range of this graph?
Answer:
Domain- {-2,2}
Range-{-3,2}
Step-by-step explanation:
Find each boundary of the line and make the corresponding points because its a continuous line.
Charlie has a box that is In the shape of a rectangular prism its height is twice the length its length is three times the width in the word measures 4 inches what is the volume of the box the volume of the box is
Answer:
1152 in ^ 3
Step-by-step explanation:
We know that the width is:
w = 4 in
They also tell us that the length is three times the width, therefore:
l = 3 * w
l = 3 * 4 = 12
l = 12 in
and as for the height, they tell us that it is twice the length, so:
h = 2 * l
h = 2 * 12 = 24
h = 24 in
now the volume is w * l * h, replacing:
v = 4 * 12 * 24
v = 1152
volume equals 1152 in ^ 3
Zugo delivers muffins for the Pastry-and-Muffin company. Each muffin is packed in its own
little box. An individual muffin box has the shape of a cube, measuring three inches on
each side. Zugo packs the individual muffin boxes into a larger box. The larger box is also
in the shape of a cube, measuring two feet on each side. How many of the individual
muffin boxes can fit into the larger box?
Answer:
512
Step-by-step explanation:
You can figure this a couple of ways.
1) Figure the number of muffin boxes that goes into each dimension of the larger box:
(2 ft)/(3 in) = (24 in)/(3 in) = 8 . . . . muffin boxes in each direction.
Then the total number of muffin boxes that will fit in a larger box is ...
8×8×8 = 512
512 muffin boxes can fit into the larger box.
__
2) The volume of a muffin box in cubic feet is ...
((3 in)/(12 in/ft))^3 = (1/4 ft)^3 = 1/64 ft^3
The volume of a larger box in cubic feet is ...
(2 ft)^3 = 8 ft^3
Then the number of smaller boxes that will fit in the larger box is ...
(8 ft^3)/(1/64 ft^3) = 8×64 = 512
512 muffin boxes can fit into the larger box.
Elimination method using multiplication:3x+2y=0 and x-5y=17
Answer:
(2,-3)
Step-by-step explanation:
have to multiply (-3) to the second equation to get -3x + 15y = 51 then you add both equations .the 3 is remove (postive and negative cancels out )
2y+15y= 17y
0-51+-51
divide both sides by 17 y
-51/17= -3
then you plug -3 into the first equation and get
x= 2
y=-3
Answer:
x=2 y=- 3
Step-by-step explanation:
helpppppp pros only helppppppp me plzzzzzzzzzzz ill reporte you if you do bad qweshtones
Answer:
We are looking for 2 numbers that have a product of 72 and a sum of 17. These 2 numbers are 9 and 8. Therefore, the factored version would be (z + 9)(z + 8), or A.
Hope this helps!
Apply the distributive property to factor out the gcf 6+30=
Answer:
Step-by-step explanation:
the distributive properrty of 6 + 30
6(1 + 5)
A torch and a battery cost £2.50 altogether.
The torch costs £1.50 more than the battery.
What fraction of the total price is the torch?
Give your answer in its simplest form.
PLEASE CHECK UR ANSWER
Answer:
1 1/2 i think
Step-by-step explanation: to find out the batteries price you subtract 2.50 from 1.50 and get 1 then convert to fractions so 1 1/2 and 1 and when you add them together you get the total price so the torch accounts for 1 1/2 of the total price.
A tablet manufacturer tested 125 tablets and found that 2 had broken screens. how many broken screens should the manufacturer expect out of 45000 tablets?
Answer:
720
Step-by-step explanation:
125tablets, 2 of which had broken screens.
multiply 45000 by 2, then divide 125=720
Answer:
720
Step-by-step explanation:
125 tablets, 2 of which had broken screens.
Multiply the 45,000 by 2, then divide by 125.
So therefore, the answer is 720.
What is the measure of mop
please answer my question −4y−4+(−3)
Answer:
-4y - 7
Step-by-step explanation:
−4y−4+(−3)
Combine like terms
-4y - 7
Answer:
5
Step-by-step explanation:
y= 4+ 4 - 3
f(x) = (x – 1)(x + 4)?
Answer:x^2+3x-4
Step-by-step explanation:
Please help! This is Quadratic Formula and the discriminant. The answer is -3+3 square root symbol 5 over 2. Every time i try to get that answer I get a different one. Please help asap
Answer:
See explanation
Step-by-step explanation:
[tex]n^2+3n-7=2[/tex]
Subtract 2 from both sides:
[tex]n^2+3n-9=0[/tex]
Using the quadratic formula:
[tex]n=\dfrac{-3\pm\sqrt{9+36}}{2}=\dfrac{-3\pm \sqrt{45}}{2}=\dfrac{-3\pm 3\sqrt{5}}{2}[/tex]
I agree with you on the answer, have you tried both adding and subtracting the root? That is important, because there are two solutions to this problem. Feel free to discuss more and I can try to help!
A hemisphere has a diameter of 48 inches. What is the volume of the
hemisphere? Use 3.14 for and round to the nearest tenth.
Answer:
9,216π or 28,938.2 meters³
Step-by-step explanation:
Given: diameter 48 inches
Radius 24 inches
Note:
Volume of hemisphere = volume of sphere / 2
Volume of hemisphere = 1/2 • 4/3 • πr³
= 1/2• 4/3×π×24³
= 1/2•18432π
= 9,216π
= 28,938.2 meters³
determine the slope an y intercept :
y = 3/2x + 3
Answer:
Slope: -3/2 y intercept: 3
Step-by-step explanation:
if the population is growing by 17% you will use 1.17 as your rate in the equation true or false
Answer:
False. 0.17
Step-by-step explanation:
What value of x makes the
equation frue?
X - 13 = 25
Answer:
38
Step-by-step explanation:
x-13=25
+13 +13
_________
x=38
Answer:
38
Step-by-step explanation:
38-13=25.
To find this add thirteen to 25
