Answer:
[tex]r=9.0\:\mathrm{cm}[/tex]
Step-by-step explanation:
The volume of a sphere is given as [tex]\frac{4}{3}r^3\pi[/tex]. Therefore we have the following equation:
[tex]\frac{4}{3}r^3\pi=3026,\\r^3=\frac{3}{4}\cdot\frac{3026}{\pi},\\r^3=722.40428,\\r=\sqrt[3]{722.40428},\\r\approx \fbox{$9.0\:\mathrm{cm}$}[/tex].
Rounding this to the nearest tenth of a centimeter, the radius of the sphere is approximately 14.0 cm.
What is volume?Volume refers to the amount of space occupied by an object or substance. In mathematics, it is usually measured in cubic units (e.g. cubic meters, cubic centimeters).
The volume of an object can be calculated using its dimensions and specific formulas that depend on the shape of the object.
For example, the volume of a cube is calculated by multiplying its length, width, and height, while the volume of a sphere is calculated using the formula [tex](4/3)\pi r^3[/tex], where r is the radius of the sphere.
The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.
We can rearrange this formula to solve for r:
r = [tex](3V/4\pi)^{(1/3)[/tex]
Substituting the given volume V = 3026 [tex]cm^3[/tex], we get:
r = [tex](3(3026)/(4\pi))^{(1/3)[/tex] ≈ 14.0 cm
Thus, the radius of the sphere is approximately 14.0 cm, rounded to the nearest tenth of a centimetre.
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plz answer asap!!!!!!!!!!!!!!!!!!!!!!
Answer:
It can be represented by the expression 2r, or “two times the radius.” So if you know a circle's radius, you can multiply it by 2 to find the diameter; this also means that if you know a circle's diameter, you can divide by 2 to find the radius. Find the diameter of the circle.
Step-by-step explanation:
you'r welcome :)
A store advertises 15% off an item that regularly sells for $300
what is the price of the item?
For this problem, we're finding the percent of 300. To do that we:
1. Multiply 300 by 15.
300 x 15 = 4500
2. Divide 4500 by 100. (% = 100)
4500 / 100 = 45
Therefore, the unit price is 45. But we're not done. We need to subtract 45 by 300.
300 - 45 = 255
Now, our answer is 255 and the unit price is 45.
Let me know of any questions!
Please help ASAP i really need help
Answer:
X= 0
X= -4
x1= -4, x2=0
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the GCF of 6 and 36
Answer:
It's 6.
Step-by-step explanation:
6- 1, 2, 3, 6
36- 1, 2, 3, 4, 6
The greatest common factor of 6 and 36 is 6
Given data ,
Let the first number be represented as p
where the value of p = 6
Let the second number be represented as q
where the value of q = 36
To find the greatest common factor (GCF) of 6 and 36, we need to determine the largest positive integer that can divide both numbers evenly.
To begin, we can list the factors of each number:
Factors of 6 : 1 , 2 , 3 , 6
Factors of 36 : 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36
From the lists, we can see that both 6 and 36 share a common factor of 6. The GCF of 6 and 36 is therefore 6, as it is the largest number that can evenly divide both 6 and 36.
Hence , the greatest common factor is 6
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Benjamin is going to drive from his house to City A without stopping. An equation that determines Benjamin's distance from City A tt hours after leaving his house is D=260-65t.D=260−65t. What is the slope of the equation and what is its interpretation in the context of the problem?
Given:
The Benjamin's distance from City A, t hours after leaving his house is
[tex]D=260-65t[/tex]
To find:
The slope of the equation and what is its interpretation in the context of the problem?
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m (coefficient of variable x) is slope and b is y-intercept.
We have, the equation
[tex]D=260-65t[/tex]
It is a linear equation and the coefficient of variable t is -65. So, the slope of the equation -65.
It means, the Benjamin's distance from City A is decreases at the rate of 65 units per hour or we can say the speed of Benjamin is 65 units per hour.
Therefore, slope of the equation -65. It means, Benjamin's distance from City A is decreases at the rate of 65 units per hour.
Answer:
The slope of the function is -65 which reveals the average speed that Benjamin travels, in miles per hour.
Step-by-step explanation:
The slope shows how much the distance to City A decreases each hour, implying that Benjamin is driving an average speed of 65 miles per hour.
Have a good day :)
find f(-10) f(x)=7x-5
Answer:
f(-10) = -75Step-by-step explanation:
F(x) is simply another way of saying y. We are given the x value of -10. We can substitute this in for x and find y.
f(-10) = 7(-10) - 5
f(-10) = -70 - 5
f(-10) = -75
Answer:
Rewrite the equation in term of
x
and
y
.
f
(
x
)
=
2
x
2
−
7
x
+
5
Rewrite the equation in vertex form.
Tap for fewer steps...
Complete the square for
2
x
2
−
7
x
+
5
.
Tap for more steps...
2
(
x
−
7
4
)
2
−
9
8
Set
y
equal to the new right side.
y
=
2
(
x
−
7
4
)
2
−
9
8
Use the vertex form,
y
=
a
(
x
−
h
)
2
+
k
, to determine the values of
a
,
h
, and
k
.
a
=
2
h
=
7
4
k
=
−
9
8
Find the vertex
(
h
,
k
)
.
(
7
4
,
−
9
8
)
Step-by-step explanation:
y = 2x + 4.6
m = ____ b = ____
fill in the blank !!!
Answer:
m = 2, b = 4.6
Step-by-step explanation:
The slope intercept formula is y = mx + b, So you can substitute for the values given.
How many dots would be in Figure 17?
Answer:
306
Step-by-step explanation:
PLEASE HELP DUE TMRW!
A furniture company buys chairs at wholesale price of $48. They mark
up the price so they make a 30% profit. How much will one chair sell for?
Answer:
i dont know just trying to get pionts haha sorry rihana
Step-by-step explanation:
What is the domain and range?
Answer:
The domain D = {0, 1, 2, 3, 4, 5}
The range R = {3, 4}
Step-by-step explanation:
Given the ordered pairs or points on the graph
{(0, 4), (1, 4), (2, 4), (3, 3), (4, 3), (5, 3)}
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
Domain refers to all the possible sets of input values on the x-axis.It means the set of all the x-coordinates of the given points or ordered pairs on a graph will be the domain.
Thus,
The domain D = {0, 1, 2, 3, 4, 5}
Determining the range:
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
Range refers to all the possible sets of output values on the y-axis.It means the set of all the y-coordinates of the given points or ordered pairs on a graph will be the range.
Thus,
The range R = {3, 4}
Note: Please note that the duplicated elements in the range are written only once.
i will give brainlist
Please answer as soon as possible.
Determine whether the quantities in each table represent a proportional relationship. If yes put the constant rate otherwise put no
Answer:
There is not a proportional relationship
Step-by-step explanation:
The first and second hour the pay is $9.50/hour, but in the third hour the pay is $11/hour. Then in the fourth hour it changes again to $10/hourIf there was a proportional relationship there would need to be a constant rate of change in pay.
Answer:
Yes, the proportional relationship is 9.50
Step-by-step explanation:
In the graph that you have attached this picture with, hours x 9.50 = pay.
Hope this helps :D
Jose has 3/5 kilograms of peppermints and 2/3 kilograms of of candy canes how much candy dose he have
What is m∠P? There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.
Answer:
94°
Step-by-step explanation:
There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.
Sum of angles in a pentagon = 540°
Hence:
PQR + QRS + RST +STP + TPQ = 540 °
132 + (4x-10)° + (5x-11)° + 128° + (4x+2) degrees = 540°
132 + 4x - 10 + 5x - 11 + 128 + 4x + 2 = 540
132 - 10 - 11 + 128 + 2 + 4x + 5x +4x = 540°
241 +13x = 540
13x = 540 - 241
13x = 299
x = 299/13
x = 23
What is m∠P?
m∠P in Pentagon PQRST = TPQ
TPQ = 4x + 2
= 4 × 23 + 2
= 94°
3. Bond energy is the energy
a. absorbed as a molecule forms.
b. change as atoms get closer together.
C. required to break a chemical bond and form separate, neutral
atoms.
d. of two covalently bonded atoms.
Which price is equivalent to $1.50 for 1 pound of apples?
A.. 6 pounds of apples for $9
B..8.5 pounds of apples for $9
C..9 pounds of apples for $9
D..13.5 pounds of apples for $9
Sammie read at the rate of 25 pages per hour. Alex read at the rate of 1/2 of a pages per minute. Who was reading faster? By how many pages per hour faster?
Answer:
Alex is reading faster by 5 more pages per hour.
Step-by-step explanation:
Alex's rate of reading is 1/2 pages per minute, or 1 page every 2 minutes. To convert his rate to pages per hour, we can divide 60 (minutes in an hour) by 2 (minutes it takes Alex to read a page) which is equal to 30 (pages read in an hour). Therefore, Alex is reading at 30 pages an hour and reading 5 more pages an hour than Sammie.
PLEASE
What is the solution to the equation 4 ( b − 2 ) − 10 = 2b + 6 ?
The radius of the circle on a basketball court is 6 feet. What are the approximate
circumference and area of the circle?
Circumference: 37.7 feet
Area: 113.0 square feet
Circumference: 18.8 feet
Area: 37.7 square feet
Circumference: 18.8 feet
Area: 113.0 square feet
Circumference: 12.0 feet
Area: 18.8 square feet
Answer:
C= 37.69ft
A= 113.09ft
Step-by-step explanation:
Circumference=
=37.69
Area=
Area = pi * 6 ^2
Area =113.09
solve -3 + 1/2n = 1/2 (-n + 14) in 2 different ways 30 points if u answer and show your work.
Answer:
3
Step-by-step explanation:
Find the value of X, Y, Z
Answer:
Answers are in photo
Step-by-step explanation:
Do it in terms of ratio
help plz plz plz plz
Answer:
2.8 In is the answer to the question
Step-by-step explanation:
Nw+WD=ND
A family went out to eat. The bill is $65.82. The family wants to leave a 20% tip. How much tip will be added on to the cost of dinner?
Answer:
$13.16
Step-by-step explanation:
A cherry pie has a 16 inch diameter. What is its approximate area? Round to the nearest hundredth. (Use 3.14 for π)
Answer:
200
Step-by-step explanation:
Formula to find the area: πr²
First, find the radius: 16 ÷ 2 = 8
The radius is 8. So...
= 3.14 (8²)
= 3.14 × 64
= 200.96
Rounded to the nearest hundredth: 200
Answer:
200.96
Step-by-step explanation:
A=3.14r^2(formula for area of a circle)
r=16/2=8
r=8
A=3.14*8^2=200.96
which system of equations has the same solution as the system below?
2x+2y=16
3x-y=4
a. 2x+2y=16 b. x+y= 16
6x-2y=8 3x-y=4
c. 2x+2y=16 d. 6x+6y=48
6x-2y=8 6x+2y=8
Answer: Both A, and C
Step-by-step explanation:
The answer to the first system of equations (2x+2y=16) would be
x=3 and y=5 ( 3x-y=4 )
Which means we have to find out which of the other equations has an x value of 3, and a y value of 5.
If A is 2x+2y=16, then x=3 and y=5
6x-2y=8
If B is x+y=16, then x=5 and y=11
3x-y=4
If C is 2x+2y=16, then x=3 and y=5
6x-2y=8
If D is 6x+6y=48 , then x=-2 and y=10
6x+2y=8
Both A and C are equal to the first system of equations, which means they are both correct answers.
What is the exact value of cos theta?
Answer:
C
Step-by-step explanation:
3x² ×2x³
help please
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Also please tell me if I'm wrong or not...
Also also if I'm right can I please have Brainliest?
.
The expression 20a + 13c is the cost (in dollars) for adults and students to enter a science center. Find the total cost for 4 adults and 24 students.
Answer:
$392
Step-by-step explanation:
Given the expression :
Total cost = 20a + 13c
a = adult
c = student
The total cost for 4 adults and 24 students
a = 4 ; c = 24
Total cost :
20(4) + 13(24)
80 + 312
= $392
what does 8+2y-5x+y=x-1
The value of x is 1/2y+3/2
Answer:
y = 2x - 3
Step-by-step explanation:
8 + 2y - 5x + y = x - 1
3y = 6x - 9
y = 2x - 3
slope is 2, y-intercept is -3
Algebraically find the vertex of the function f(x) = x2 – 6x + 16.