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
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
graph the circle x^2+y^2+2x+4y-44=0
plot the circle on a coordinate plane, with the center at (-1, -2) and a radius of 7 units.
To graph the equation of the circle x^2 + y^2 + 2x + 4y - 44 = 0, we can follow these steps:
1. Complete the square for the x-terms:
Rearrange the equation to group the x-terms together:
x^2 + 2x + y^2 + 4y = 44
To complete the square for the x-terms, add (2/2)^2 = 1 to both sides of the equation:
x^2 + 2x + 1 + y^2 + 4y = 44 + 1
Simplify:
(x + 1)^2 + y^2 + 4y = 45
2. Complete the square for the y-terms:
To complete the square for the y-terms, add (4/2)^2 = 4 to both sides of the equation:
(x + 1)^2 + y^2 + 4y + 4 = 45 + 4
Simplify:
(x + 1)^2 + (y + 2)^2 = 49
3. Identify the center and radius:
The equation is now in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2
Comparing this with our equation, we can see that the center of the circle is (-1, -2) and the radius is √49 = 7.
4. Plot the graph:
The center of the circle is (-1, -2), which represents the point where the circle is centered. From this point, we can draw a circle with a radius of 7 units in all directions.
By following these steps, we can plot the circle on a coordinate plane, with the center at (-1, -2) and a radius of 7 units.
For more questions on circle .
https://brainly.com/question/28162977
#SPJ8
Note the full question may be:
To graph the equation of the circle x^2 + y^2 + 2x + 4y - 44 = 0, first rewrite it in standard form by completing the square for both x and y terms. Then identify the center and radius of the circle and plot the corresponding points to draw the graph.
Raheem found a worm that was 6 centimeters long what is the length of the worm in in millimeters
Answer:
60 millimeters
Step-by-step explanation:
1 centimeter is 10 milimeters. So, 6 centimeters is 60 millimeters.
*please mark brainliest*
wserdtcfvygbuhnjkml,;kmojnihbugvyf
Answer:
taco
Step-by-step explanation:
THE property of two rational numbers is -28/81. If one of them is -2/3, then find the other.
PLEASE HELP..... I NEED TO SUBMIT IT NOW......
Elaine and Sandy both like lemonade Elaine has a 16 tablesspoon box of lemonade Sandy has an 18 tablespoon box of lemonade mix he likes his lemoade stronger and uses 3 tablespoons of mix for each glass of lemonade who will run out of mix first Elaine or Sandy
Answer: Sandy.
Step-by-step explanation:
Elaine has 16 tablespoons of lemonade, and uses 2 per glass.
then she can make 16/2 = 8 glasses of lemonade.
Sandy has 18 tablespoons of lemonade, and she uses 3 per glass,
then she can make 18/3 = 6 glasses of lemonade.
Then Sandy can make less glasses of lemonade than Elaine, this means that Sandy runs out of mixt first.
solve the equation 18y - 17 = 7 for y
Answer:
y = 1.3
Step-by-step explanation:
18y - 17 = 7
18y = 7 + 17
18y = 24
y = 24/18
y = 1.3
hope it helps!
Answer:
y=4/3
Step-by-step explanation:
To solve for y, we need to isolate it.
18y-17=7
Let's start by adding 17 to both sides.
18y=24
Next, we can divide both sides by 18.
y=24/18
Simplify.
y=4/3
Please Help it’s urgent
Answer:
<LKH and <JKM
Step-by-step explanation:
<LKH and <JKM are vertical angles because they are vertically opposite.
two integers that multiply to 18 and add to -11
Answer:
-9 and 2
Step-by-step explanation:
Find the value of "Y" if;
Y-3 [4-2Y] = 16
Answer:
y=4
Step-by-step explanation:
hello :
Y-3 (4-2Y) = 16
y-12+6y = 16
7y-12=16
so :7y =12+16
7y=28
y=28/7 =4
Please help!
Suppose S and T are mutually exclusive events, P(S) = 30%, and P(T) = 24%. Find P(S or T).
A) 6%
B) 54%
C) 720%
D) 7.2%
Answer: 54%
Step-by-step explanation:
In probability and logic theory, two events are said to be mutually exclusive or disjoint when both events cannot occur or happen at the same time.
A clear example of mutually exclusive event is the set of outcomes of a single toss of a coin which can either result in heads or tails, but can not be both.
P(S) = 30%, and P(T) = 24%
P(S or T) = P(S) or P(T) = 30% + 24%
= 54%
In a tiny house, an empty hot water heater requires 40 gallons of water. It takes 18 minutes to fill the hot water heater. Assuming a constant rate of flow, find the rate at which water flows into the tank. Express your answer to the nearest tenth of a gallon per minute. *
Answer:
A constant rate of flow, that would be 40/18 = 2.2 gallon per minute
Hope this helps!
:)
Mariska was comparing her options for investment. One choice she was looking at showed that her principal of $1,875 over 10 years would earn $1,125 in interest giving her a total of $3,000 at the end of the investment period. What interest rate is being used to calculate this investment?
Answer: 6%
Step-by-step explanation:
Principal= $1875
Time= 10 years
Interest= $1125
Rate = Unknown
Recall that,
Interest= (Principal×Rate×Time)/100
I = PRT/100
100I = PRT
R= (100×I)/PT
Rate = (100 × 1125)/(1875 × 10)
Rate = 112500/18750
Rate= 6%
The rate is 6%
a shirt shop order 1500 shirts. People only bought 1275 t-shirts. what percent of the tshirts were not sold
Answer:
0.15
Step-by-step explanation:
The total amount of shirts not sold is 225 shirts. The percent of shirts not sold is 225 divided by the total number of t shirts which is 1500. 225/1500 is 0.15. So 0.15 percent of the shirts were not sold.
Hope this helps! (Please mark as brainliest)
A rectangular prism has a volume of 360 cubic feet. One dimension is 10
feet. Which could be the other two dimensions of the prism? Mark all that
apply.
6 feet, 4 feet
9 feet, 4 feet
3 feet, 12 feet
10 feet, 20 feet
6 feet, 6 feet
(thanks)
Answer:
The answers are:
9 feet and 4 feet
3 feet and 12 feet
6 feet and 6 feet
You are working for a company that creates tubes that measure 10 cm long and have a diameter of 6 cm. The tubes need to be cut just right. The company fired all of its math people so they do not know how to calculate the size of the tube needed. Please calculate the surface area needed for the tube. Use 3.14 for pi. *
Answer:
[tex] A= 2\pi (3cm)^2 +1 2\pi (3cm)(10 cm)= 18 \pi + 60\pi = 78 \pi cm^2[/tex]
And replacing the value of [tex]\pi =3.14[/tex] we got:
[tex] A = 78*3.14 cm^2= 244.92 cm^2[/tex]
Step-by-step explanation:
For this case we have the long who represent the height 10 cm and the diameter is 6cm. So then the radius is given by:
[tex] r = \frac{D}{2}= \frac{6cm}{2}= 3cm[/tex]
And the surface area for a cylinder is given by this formula:
[tex]A= 2\pi r^2 +2 \pi rh[/tex]
And replacing the info given we got:
[tex] A= 2\pi (3cm)^2 +1 2\pi (3cm)(10 cm)= 18 \pi + 60\pi = 78 \pi cm^2[/tex]
And replacing the value of [tex]\pi =3.14[/tex] we got:
[tex] A = 78*3.14 cm^2= 244.92 cm^2[/tex]
PLZ HELP WILL MARK BRAINLIEST!
You put $200 in a savings account. The account earns 9% simple interest per year.
a. What is the interest earned after 5 years?
The interest earned is $___
after 5 years.
b. What is the balance after 5 years?
The balance is $____
after 5 years.
Answer:
Interest earned is $90
balance is $290
Step-by-step explanation:
Annette plans to visit an amusement park where she must pay for admission and
purchase tickets to go on the rides. Annette wants to find the total cost for a day at
the amusement park. She wrote the equation c = 1.50x + 12 to predict c, the total cost
for a day at the amusement park. What could the number 12 represent in Annette’s
equation?
Answer:
...
Step-by-step explanation:
Answer: the cost of admission
Step-by-step
Which of the following statements is true for the logistic differential equation?
The graph has a horizontal asymptote at y = 18.
y is growing the fastest when y = 9.
The limiting value for y is 18.
All of the above.
Answer:
All of the above
Step-by-step explanation:
dy/dt = y/3 (18 − y)
0 = y/3 (18 − y)
y = 0 or 18
d²y/dt² = y/3 (-dy/dt) + (1/3 dy/dt) (18 − y)
d²y/dt² = dy/dt (-y/3 + 6 − y/3)
d²y/dt² = dy/dt (6 − 2y/3)
d²y/dt² = y/3 (18 − y) (6 − 2y/3)
0 = y/3 (18 − y) (6 − 2y/3)
y = 0, 9, 18
y" = 0 at y = 9 and changes signs from + to -, so y' is a maximum at y = 9.
y' and y" = 0 at y = 0 and y = 18, so those are both asymptotes / limiting values.
What is the value of 9x - 4y if x = 3 and y = 2
Answer:
19
Step-by-step explanation:
plug both values in
Answer:
19
Step-by-step explanation:
Since it gives you the values of x and y, all you need to do is plug in the numbers, like so:
9x - 4y
9(3) - 4(2)
27 - 8
19
Solve using elimination.
5x - 4y = -10
5x - 5y = -5
Answer:
(x,y) = (-6,-5)
Step-by-step explanation:
If you need the explanation let me know.
Answer:
x = -6
y = -5
Step-by-step explanation:
5x - 4y = -10
5x - 5y = -5
__________--
y = -5
5x - 4y = -10
5x - 4(-5) = -10
5x + 20 = -10
5x = -10 - 20
5x = -30
x = -30/5
x = -6
Ellie bought two pairs of shoes during a BOGO (Buy One, Get One) sale. She received a 20% discount on the second pair of shoes. The regular price of each pair of shoes was $49.99. How much did Ellie pay for the two pairs of shoes, excluding tax?
Answer:
89.98
Step-by-step explanation:
49.99 x 20% = 9.998
So, 20% of 49.99 is 10.
49.99 - 10 = 39.99 To get the Total of the discounted item.
49.99 + 39.99 = 89.98 Add final totals to get answer
The ratio of the angles in a triangle is 2:3:4. What is the measure of the largest angle?
30°
60°
80°
20°
Answer:
80
Step-by-step explanation:
you can take the ratio 2:3:4 as
2x + 3x + 4x = 180
9x = 180
x= 20
4(20) = 80
Answer:
D) 20
Step-by-step explanation:
Set up an equation: 2x+3x+4x=180
9x=180
180/9=20
Answer: D) 20degrees
what is the answer 25b • (3a2 - 1)
Answer:
Step-by-step explanation:
25b * (3a² - 1) = 25b * 3a² - 25b * 1
= 75ba² - 25b
Distributive law upon subtraction:
a(x - y) = ax - ay
Answer:
[tex]25b(3a*2-1)=25b(6a-1)[/tex]
Step-by-step explanation:
[tex]25b(3a*2-1)[/tex]
Multiply the numbers: [tex]3 * 2 = 6[/tex]
[tex]=25b(6a-1)[/tex]
Hope I helped, may I get brainliest and a thanks?
Thank you, have a good day! =)
3x+2y=12+y 4y-7x=10 solve
Answer:
x = 2 , y = 6
Step-by-step explanation:
Solve the following system:
{3 x + 2 y = y + 12 | (equation 1)
4 y - 7 x = 10 | (equation 2)
Express the system in standard form:
{3 x + y = 12 | (equation 1)
-(7 x) + 4 y = 10 | (equation 2)
Swap equation 1 with equation 2:
{-(7 x) + 4 y = 10 | (equation 1)
3 x + y = 12 | (equation 2)
Add 3/7 × (equation 1) to equation 2:
{-(7 x) + 4 y = 10 | (equation 1)
0 x+(19 y)/7 = 114/7 | (equation 2)
Multiply equation 2 by 7/19:
{-(7 x) + 4 y = 10 | (equation 1)
0 x+y = 6 | (equation 2)
Subtract 4 × (equation 2) from equation 1:
{-(7 x)+0 y = -14 | (equation 1)
0 x+y = 6 | (equation 2)
Divide equation 1 by -7:
{x+0 y = 2 | (equation 1)
0 x+y = 6 | (equation 2)
Collect results:
Answer:{x = 2 , y = 6
It took Beth 16 minutes to read 8 pages of a book. If she reads at a constant rate, how long did it take Beth to read 5 pages?
A water cooler (shaped like a cylinder) can hold approximately 6,104 in^3 of water. If a cylindrical cup measures 3 inches in diameter and will be filled to a height of 3 inches, how many cups of water will you be able to fill from one water cooler? Use 3.14 for π.
Answer:
Step-by-step explanation:
35
Step-by-step explanation:
They told you that the mean is 7.
You know there are 5 numbers
Mean = (number 1 + number 2 + number 3 + number 4 + number 5) / 5 = 7
Sum = 7 x 5
= 35.
To fill one water cooler, we need 288 cups of water.
What is a cylinder?A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.
Given that a cylindrical water cooler can hold approximately 6104 in cubic of water.
And cylindrical cup with the height of 3 inches and diameter of 3 inches.
So let r be the radius of cup is 3/2 = 1.5 inch.
And we know that the volume of cylinder is given below by the formula;
volume of cylinder = π r² h
So now the volume of cylindrical cup = (3.14) (1.5)² (3) = 21.195
That means one cup can only fill 21.195 cubic of water to the water cooler.
To find the how many cups can fill the water cooler,
we will divide the volume of water cooler by volume of cup.
That means, 6104 / 21.195 = 287.99
Approximating the value,
6104 / 21.195 = 288 cups of water.
Therefore the 288 cups of water can fill the water cooler.
To learn more about the cylinder;
https://brainly.com/question/16134180
#SPJ2
50. Express
-44 in the form bi where b is a real number.
TIME SENSITIVE‼️‼️‼️
Answer:
A
Step-by-step explanation:
i is the same as negative squareroot of one. Then you have 2 squareoot of 11 which is the same as squareroot of 44
The product of two rational numbers is -28/81. If one of them is -2/3, then find the other.
PLEASE HELP....NEED TO SUBMIT IT NOW......
Answer:
14/27
Step-by-step explanation:
Let x be the unknown number
-2/3 * x = -28/81
Multiply each side by -3/2
-3/2*-2/3 * x = -28/81 * -3/2
x = 28/2 * 3/81
x =14*1/27
x = 14/27
Answer:
14/27
Step-by-step explanation:
Let x be the other number
x × -2/3 = -28/81
x = -28/81 × -3/2
x = 14/27
Find the surface area of the prism.
Answer: ph+2b
Step-by-step explanation:
Answer:
920 ft²
Step-by-step explanation:
2 triangles + 3 rectangles
2(½×15×8) + 20(17+8+15)
120 + 800
920
