Answer:
Volume of a Sphere is 4/3 * π * r^3 , r is the radius of the sphere.
volume = 4/3 * π * r^3
= 1.13×105in³
Volume of a 30″ radius sphere is
113,097 cubic inches.
Why is not the term perimeter used instead of circumference?
Answer:
Circumference is a special case of perimeter. Both describe the total length of the boundary of a two dimensional figure, but circumference specifically refers to the perimeter of a curved figure or arc. Therefore it only applies to circles, ovals, ellipses, arcs, etc.
Answer:
Both words are used to talk about how long the boundary is of a 2D figure. Think of circumference as a special case of finding the perimeter. The term circumference refers to the perimeter of a figure without sides or something like a circle or arc.
So if we were to look at a rectangle and try to determine how long the boundary is we would use perimeter. On the other hand, if we have a circle we have no way to track how long each side is therefore we use circumference.
Wanja bought fruits which were being sold at 3 fruits for sh 2.00. She then sold them at 3 fruits for sh 3.50. What profit did she make after selling 450 fruits? [1990 No. 25) sh 300.
Answer:
The answer is sh50......
What is angle 3
Help please
Answer:
a3 = 112
Step-by-step explanation:
a2 + a1 = a4
So
3x + 20 = 4x + 4
x = 16
a4 = 68
180 - 68 = 112
division equation where 13 is quotient with the dividend a whole number and a unit fraction is the divisor
The division equation that satisfies the required parameters where 13 is the quotient is 1/1/13 = 13
How to determine the equation?The given parameters are:
Quotient = 13Dividend = Whole numberDivisor = Unit fractionA division equation is represented as:
Dividend/Divisor = Quotient
Substitute Quotient = 13
Dividend/Divisor = 13
A unit fraction is represented as 1/n, where n is an integer.
So, the divisor can be represented as 1/13
Dividend/1/13 = 13
Divide both sides by 13
Dividend = 1
So, we have:
1/1/13 = 13
Hence, the division equation is 1/1/13 = 13
Read more about division equations at:
https://brainly.com/question/1622425
#SPJ1
is this right please correct me if wrong
Answer:
36cm² is the answer.....
A piece of wire 144 cm long is bent to form a semicircle as shown in the figure. Find the diameter of the semicircle, giving your answer in meters ( Take pi to be 22/7.)
Answer:
Circumference= 2πr
For a semi circle, C= 2πr/2
144= (2×22×r)÷(7×2)
144= (44r)÷(14)
cross multiply:
44r= 144×14
44r= 2016
divide both sides by 44
r= 2016÷44
r=45.8cm. But d=2r
d= 2×45.8
d=91.6cm approximately 92cm
Thus, diameter= 92cm
Consider the quadratic function y = –16x
2 + 32x.
A. Does the parabola open upward or downward? Explain.
B. What are the roots, the x-intercepts of the
C. Calculate the x value of the vertex.
D. Use your answer for B to calculate the y value of the vertex.
The parabola y = -16x^2 + 32x opens downward and the y value of the vertex is 16
The direction of the parabolaThe equation of the function is given as:
y = -16x^2 + 32x
Factor out -16
y = -16(x^2 - 2x)
In the above equation, the factor -16 is negative,
This means that the parabola opens downward
The roots and the x-interceptsWe have:
y = -16(x^2 - 2x)
Set to 0
-16(x^2 - 2x) = 0
Divide by -16
x^2 - 2x = 0
Factor out x
x(x - 2) = 0
Split
x = 0 or x - 2 = 0
Solve for x
x = 0 or x = 2
Hence, the roots are 0 and 2, and the x-intercepts are (0,0) and (2,0)
The x value of the vertexWe have:
y = -16x^2 + 32x
Differentiate
y' = -32x + 32
Set to 0
-32x + 32= 0
Divide through by -32
x - 1 = 0
Add 1 to both sides
x = 1
Hence, the x value of the vertex is 1
The y value of the vertexIn (c), we have:
x = 1
Substitute x = 1 in y = -16x^2 + 32x
y = -16(1)^2 + 32(1)
Evaluate
y = 16
Hence, the y value of the vertex is 16
Read more about quadratic functions at:
https://brainly.com/question/25312425
#SPJ1
Determine the equation of the graph.
Answer: A
Step-by-step explanation:
Answer:
well its slop interform
Step-by-step explanation:
A fair spinner has 12 equal sections: 4 red, 5 blue and 3 green.
It is spun twice.
What is the probability of getting 2 different colours?
Answer: 2/3 i beleive
Step-by-step explanation:
Please help me on this!
What is the range of y=-3x+1 for the domain of {2, 8}
Answer:
[0,∞), {y|y≥0}
Step-by-step expl
The graph of y =|3x + 1| is attached.
By observation, we can see that the the least y-value that the graph can take is y =0 (i.e the x-axis) and the greatest y-value that the graph can take is positive infinity.
Hence the range is [0,∞), {y|y≥0}
Step-by-step explanation:
the domain is the set or interval of all valid x-values.
the range is the set of interval of all valid y-values.
the function is a line function, so it's values will continuously increase with increasing x-valies.
therefore we can simply take the 2 interval ends of the domain as the x-values that create the lowest and the highest functions value in that interval.
the function does not make any large twists and turns in that interval.
y = 3x + 1
for x = 2
y = 3×2 + 1 = 6 + 1 = 7
for x = 8
y = 3×8 + 1 = 24 + 1 = 25
so, the range is [7, 25]
Write the expression in repeated multiplication form. Then write the expression as a power.
Answer:
The expression is repeated multiplication form is 5.
The expression as power is 9.
Step-by-step explanation:
Answer:
The expression as powers is 5^9
Solve the equation 28=[12-2x][15-2x]
Answer:
I got x=4
Step-by-step explanation:
can i have help with this question
Answer:
y = 4 + 5x
Step-by-step explanation:
You can plug in numbers from the top row (the x's) and times and add to see if you get the corresponding number from the bottom row. This problem is a little mean and tricky because if you check with x=1, all of them work out right. But check with any other x and you will see that only one equation works, the first answer.
You can find "the rule" by looking for a pattern in the rows of numbers. The x goes up by 1, and the y goes up by 5 (if you go left to right on the table) With the 5 on top and 1 on the bottom, y/x, you get 5...that's the 5 that is beside the x in the answer. And if you imagine making one more column on the left side of the table, x=0 and y=4, that's the 4 that stands alone in the answer.
Evaluate p2m−(np+r) if m=−32 , n=2 , p=−8 , and r=4 .
The value of the given expression will be equal to 2060.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using the signs like addition,substraction, multiplication and division.
It is given that:-
=p²(m)-(np+r)
=(-8)²(32)-(2x(-8)+4)
=(64x32)-(-16+4)
=2060
Hence value of the given expression will be equal to 2060.
To know more about expression follow
https://brainly.com/question/723406
#SPJ1
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. Y=0, y= \cos(4 x), x = \frac{\pi}{8}, x = 0 about the axis y= -4f
The volume will be 3π + π²/16 if the solid obtained by rotating the region bounded by the given curves about the specified axis. y=0, y= cos(4 x), x = π/8, x = 0 about the axis y= -4f
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
We have curves,
[tex]\rm y=0, y= \cos(4 x), x = \frac{\pi}{8}, x = 0[/tex]
Here the axis is y = -4f, but not mentioned the value of f.
We are assuming the f = 3/2
So the axis will be y = -4(3/2) = -6
Inner radius = 6
Outer radius = 6 + cos4x
[tex]\rm A(x) = \pi((6+cos4x)^2-6^2)[/tex]
[tex]\rm A(x) = \pi (cos^24x+12cos4x)[/tex]
[tex]\rm A(x) = \pi( \dfrac{1+cos8x}{2}+12cos4x)[/tex]
For the volume;
[tex]\rm Volume = \int\limits^\dfrac{\pi}{8}}_0 {A(x)} \, dx[/tex]
Put the function A(x) in the above integration and solve we will get:
[tex]\rm Volume = 3\pi + \dfrac{\pi^2}{16}[/tex]
Thus, the volume will be 3π + π²/16 if the solid obtained by rotating the region bounded by the given curves about the specified axis. Y=0, y= \cos(4 x), x = π/8, x = 0 about the axis y= -4f
Learn more about integration here:
brainly.com/question/18125359
#SPJ4
How does the slope of g(x) compare to the slope of f(x)? the slope of g(x) is the opposite of the slope of f(x). the slope of g(x) is less than the slope of f(x). the slope of g(x) is greater than the slope of f(x). the slope of g(x) is equal to the slope of f(x).
The statement that correctly compares the slopes of the linear functions is: the slope of g(x) is less than the slope of f(x).
How to Find Slope of a Linear Function?Slope of a linear function = change in y / change in x = rise/run
Given the linear functions, g(x) and f(x) as shown in the image attached:
Slope of g(x) = 1/2 = 0.5
Slope of f(x) = 2/1 = 2
Therefore, we can conclude that: the slope of g(x) is less than the slope of f(x).
Learn mroe about slope of linear functions on:
https://brainly.com/question/15602982
#SPJ4
Find the general indefinite integral. (use c for the constant of integration. )
The indefinite integral will be [tex]\int (7x^2+8x-2)dx=\dfrac{7x^3}{3}+4x^2-2x+C)[/tex]
what is indefinite integral?When we integrate any function without the limits then it will be an indefinite integral.
General Formulas and Concepts:
Integration Rule [Reverse Power Rule]:
[tex]\int x^ndx=\dfrac{x^{n+1}}{n+1}}+C[/tex]
Integration Property [Multiplied Constant]:
[tex]\int cf(x)dx=c\int f(x)dx[/tex]
Integration Property [Addition/Subtraction]:
[tex]\int [f(x)\pmg(x)]dx=\int f(x)dx\pm \intg(x)dx[/tex]
[Integral] Rewrite [Integration Property - Addition/Subtraction]:
[tex]\int (7x^2+8x-2)dx=\int 7x^2dx+\int 8xdx -\int 2dx[/tex]
[Integrals] Rewrite [Integration Property - Multiplied Constant]:
[tex]\int (7x^2+8x-2)dx=7 \int x^2dx+ 8 \int xdx -2\int dx[/tex]
[Integrals] Reverse Power Rule:
[tex]\int (7x^2+8x-2)dx= 7(\dfrac{x^3}{3})+8(\dfrac{x^2}{2})-2x+C[/tex]
Simplify:
[tex]\int (7x^2+8x-2)dx= \dfrac{7x^3}{3}+4x^2-2x+C[/tex]
So the indefinite integral will be [tex]\int (7x^2+8x-2)dx= \dfrac{7x^3}{3}+4x^2-2x+C[/tex]
To know more about indefinite integral follow
https://brainly.com/question/27419605
#SPJ4
In a sample of 30 men, the mean height was 177 cm. In a sample
of 16 women, the mean height was 164 cm. What was the mean
height for both groups put together?
Answer:
172.5
Step-by-step explanation:
mean of men=sum/no of men
177=sum/30
sum=177*30
= 5310
mean of women=sum/no of women
164=sum/16
sum=164*16
= 2624
mean height= (5310+2624)/30+16
=7934/46
=172.5
Answer:
172.48cm is the mean height for both groups put togther
Step-by-step explanation:
I've attached my work
- im red is the given information
- In pink is the formula used
- in green is the final answer
- In blue is what we need to find + the proccess
Please give me feedback on my repsomse by commenting,
any way i can improve showing my work?
Hope it helps, let me know if you have questions !
Have a nice rest of your day :)
Maya used a total of 2 1/6 gallons of gas while driving her car. Each hour she was driving, she used 7/8 gallons of gas. What was the total number of hours she was driving?
Ans
2:47 mins
Step-by-step explanation:
2 1/6 ÷7/8 = 2 10/21
2 10/12 to decimal 2.47
A box is 120cm long and 25cm wide. What is the longest length of a ski pole that could be packed to lie flat in the box if they are only sold in whole centimeters?
Answer:
The longest ski pole to fit would lie diagonally. The length of the diagonal can be found by the Pythagorean theorem.
d=sqrt(1202+252)
d ~= 122.58 cm
Step-by-step explanation:
Answer:
123 cm (nearest whole number)
Step-by-step explanation:
The orientation of the ski pole to allow it to be its maximum length would be placing it from corner to opposite corner of the base of the box.
Therefore, this can be modeled as the hypotenuse of a right triangle, where the length and width of the box are the legs.
To find the hypotenuse, use Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse)
Given:
a = 25 cmb = 120 cmSubstitute given values into the formula and solve for c:
⇒ a² + b² = c²
⇒ 25² + 120² = c²
⇒ c² = 15025
⇒ c = √(15025)
⇒ c = 123 cm (nearest whole number)
Parents donated fudge for the fund raiser for your classroom. 40 pounds of chocolate fudge sold for $2.15 per pound and vanilla fudge sold for $1.90 per pound. Your class made $158.20. How many pounds of fudge were sold?
Answer:
77 pounds of fudge were sold.
Its pretty easy i'm just being lazy
Answer:
Step-by-step explanation:
Find the sum of 100 and -100
Answer:
0
Step-by-step explanation:
-100+100 = 0
Answer:
the answer would be 0
because if you take 100 away from 100 you have 0 left
:D Can someone help me?
Answer:
A and D are correct.
The cost to produce a book is 1200 to get started plus 9 dollars per book. The book sells for 15 dollars each. How many books must be sold to make a profit?
720
Answer:
15/9 = 1200/x
15x/ 15 =10800/15
x= 720
Nike, Ricky, and Danny competed in a go-cart race. Nike drove three times as fast as Ricky. Adding 2 to Nike's speed, and dividing by 4 gives the speed at which Danny drove. Danny drove at a speed of 26 mi/h. Identify the speed at which Ricky drove.
Answer:
Ricky drove at a speed of 34 mi/h.
Step-by-step explanation:
Danny = 26 mi/h
26 x 4 = 104
104 - 2 = 102
102/3 = 34
joe received $375 for his graduation He put $205 into his savings account About what Percent of his graduation money did joe put into savings
Determine the equation of the circle with center (-6, -2 containing the point (-10, -9).
Answer:
x² + 12x + y² + 4y - 25 = 0
Step-by-step explanation:
Equation of a circle
(x - h)² + (y - k)² = r²(h, k) = coordinates of circle(x, y) = coordinates of point on circler = radiusFinding r
(-10 + 6)² + (-9 + 2)² = r²r² = 16 + 49r = √65Making the equation
(x + 6)² + (y + 2)² = (√65)²x² + 12x + 36 + y² + 4y + 4 = 65x² + 12x + y² + 4y - 25 = 0The equation of the circle with center (-6, -2 containing the point (-10, -9) is x² + 12x + y² + 4y - 25 = 0
What is a circle?A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
WE know that the Equation of a circle;
(x - h)² + (y - k)² = r²
(h, k) = coordinates of a circle
(x, y) = coordinates of a point on the circle
r = radius
Finding r;
(-10 + 6)² + (-9 + 2)² = r²
r² = 16 + 49
r = √65
Making the equation,
(x + 6)² + (y + 2)² = (√65)²
x² + 12x + 36 + y² + 4y + 4 = 65
x² + 12x + y² + 4y - 25 = 0
Learn more about the circle;
https://brainly.com/question/23890802
#SPJ2
what is the worlds saddest candy
Answer:
Probably candycorn, to be honest nobody really even like's candycorn so that's why it's kinda sad.
