Axis
Step-by-step explanation:
A rotation is a circular movement of an object around a center (or point) of rotation. A three-dimensional object can always be rotated about an infinite number of imaginary lines called rotation axes . If the axis passes through the body's center of mass, the body is said to rotate upon itself, or spin. A rotation around an external point, e.g. the planet Earth around the Sun, is called a revolution or orbital revolution, typically when it is produced by gravity. The axis is called a pole.
Estimate the number of softballs that would fill a 10 by 12 by 24 foot room? Diameter of softball is 3.5 inches. Use the formula of a sphere V = 4/3 (3.14)r^3 for the softball
Answer:
The number of softballs that would fill the room is 221796 softballs
Step-by-step explanation:
First we will determine the Volume of the room.
The volume of a room is given by
[tex]Volume = lwh[/tex]
From the question, the given dimension of the room is 10 by 12 by 24 foot
Hence the volume of the room = 10 × 12 × 24
= 2880 cubic feet (ft³)
Convert to cubic inches
To do this, multiply the answer in cubic feet by (12 × 12 × 12)
(NOTE: 1 foot = 12 inches)
Hence, 2880 cubic feet = 2880 × 12 × 12 × 12 cubic inches
= 4976640 cubic inches
This is the volume of the room.
To estimate the number of softballs that would fill the room, we will determine the number of softballs which would give a total volume that is equal to the volume of the room.
First, we will find the volume of one softball
Diameter of softball = 3.5 inches
∴ Radius of softball, r = 3.5/2 inches = 1.75 inches
∴ r = 1.75 inches
Now, for the volume of one softball
From,
V = 4/3 (3.14)r^3
[tex]V = \frac{4}{3}(3.14)r^{3}[/tex]
[tex]V = \frac{4}{3}(3.14)[/tex] × [tex]1.75^{3}[/tex]
[tex]V = 22.43791667[/tex] cubic inches
This is the volume of one softball
The number of softballs that would fill the room will be
= Volume of the room / Volume of one softball
= 4976640 cubic inches / 22.43791667 cubic inches
=221795.9926
≅221796
Hence, the number of softballs that would fill the room is 221796 softballs
Please put the answers for this worksheet in your answer! Thanks so much. Answers: 16-22. Picture Below
16. 18/8/25 = 458/25 = 18.32
17. No because it cannot be written as ratio of two numbers
18. 3/3/11 + 3.27 = 36/11 + 35.97/11
= 6/5/11
19. ( not able to answer)
20. Diameter of pizza. = 10.333333
Length of the pizza box = 10.38
10.38 > 10.33333
Therefore, the pizza box is big enough to fit the pizza inside
21. 110/147/168 = 110/49/56
22. 4/5 = 0.8
5/6 = 0.8333333..................
Therefore, the second and the fifth might be correct.
Picture above
Question above
Answer:
you will pay 274.75 at month 5 for both companies
company A: 42.95x+60.00
company B. 49.95x+25.00
Step-by-step explanation:
Answer:
after 5 months
Step-by-step explanation:
cost of company A =42.95 x +60 ( x for month)
cost of company B= 49.95 x +25
42.95 x +60=49.95 x+25
42.95x-49.95x=25-60
7x=35
x=35/7= 5 months
In five month the companies will pay the same total amount for each internetcheck :
company A: 42.95(5)+60=274.75
company B : 49.95(5)+25=274.75
Every day, Kylie's orange juice stand uses 1/2 of a bag of oranges. How many days will
4 1/2 bags of oranges last?
Write your answer as a fraction or as a whole or mixed number.
days
Answer:
9 Days
Step-by-step explanation:
1/2x10=5
1/2x8=4
Logic tells you that 1/2x9=4 1/2
4 1/2 divided by 9= 1/2
So this answer is reasonable!!!
Please mark me brainlist!!! UwU
the product of 8 and p
Answer:
8p
Step-by-step explanation:
Multiply 8 and p.
Dinosaurs became extinct hundreds of millions of years ago. Scientists have been trying to determine the cause of the extinction. There have been many different claims about how dinosaurs disappeared.
Which best explains why there could be more than one claim about the disappearance of the dinosaurs?
All the claims can be validated through experimentation.
Data results can be interpreted in different ways.
Political groups have influence on what scientists say.
The different scientists are not experts in the field.
Answer:data results can be interpreted in different ways
Step-by-step explanation:
Answer:
C-Data results can be interpreted in different ways
Step-by-step explanation:
Edg. 2020
here's proof
If y varies directly with x and y = 26 when x = 8, write the equation that represents this direct
variation relationship,
Step-by-step explanation:
General equation for directly proportional variables: y = kx, where k is a real constant
When x = 8, y = 26.
Hence y = 26/8 x or y = 13/4 x.
The equation will be ; y = [tex]\frac{26}{8}[/tex] × x .
It is given that y varies directly with x and y = 26 when x = 8.
We have to find out an equation that represents this relationship.
What will be the 8 times of a number x ?
The number will 8 x.
The direct variation relationship equation will be ;
y = k × x
where ; k = a constant
Given ;
at x = 8 ; y = 26
so the value of k = 26 / 8
and the required equation will be ;
y = ([tex]\frac{26}{8}[/tex]) × x
Thus , the equation will be ; y = [tex]\frac{26}{8}[/tex] × x .
To learn more about algebraic expressions click here ;
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If | x + 4 | = 1, what value(s) could x have?
Answer:
-5 and -3 could both work in this situation
Step-by-step explanation
-5 + 4 = -1
| -1 | = 1
-3 + 4 = 1
| 1 | = 1
Christiana works at Texas Road House and makes $50 each night in tips plus $7.50 per hour. Write a function rule in function notation where M is the total money she makes and h is the number of hours she works in one night.
Answer:
[tex]M(h) = 7.50h + 50[/tex]
Step-by-step explanation:
Let's first get our variables straight. M is how much money you make each night, and h is the amount of hours she works.
This means that M will be what our function is equal to, aka the y-axis. h will be the x-axis.
We know that you earn a rate of $50 per night through tax, and your hours worked doesn't influence this in any way. That means there will be a constant on this function, +50.
We also know that you earn 7.50$ per hour, which is directly influenced by how many hours you work, so we will have [tex]7.50h[/tex].
Combining this all together, we get
[tex]M(h) = 7.50h + 50[/tex].
Hope this helped!
3 · -8 + 5 - 4 ÷ 2= please help will mark as brainiest
8k = 0 jsdfsiuefhwejbnmdshurefjnsfse
Answer:
k=0
Step-by-step explanation:
[tex]8k = 0 \\ k = \frac{0}{8} \\ k = 0[/tex]
Answer:
k = 0
Step-by-step explanation:
8k = 0
k = 0 Divide 8 to both sides
The right line is a 90° clockwise rotation of the left line about the origin. Click the 90° clockwise button. Are these lines the same? What does this mean about how a line changes when you rotate it?
Answer:
Step-by-step explanation:
From the graphs attached,
Let the coordinates of the two points given on the black line in the first graph are (-4, 2) and (-1, 10).
When these points have been rotated by 90° about the origin,
Rule for the rotation will be,
(x, y) → (y, -x)
Therefore, coordinates of the image points will be,
(-4, 2) → (2, 4)
(-1, 10) → (10, 1)
Therefore, red line given given in graph (1) and black line (After rotaion of 90° clockwise) in graph (2) will be same.
Answer:
yes they are the SAME.
Step-by-step explanation:
Which symmetry is represented by the function f(x) = |x|?
Answer:
symmetry with respect to the y-axis
Step-by-step explanation:
f(x) = |x| has symmetry with respect to the y-axis. It looks like a V with the vertex at the origin.
The symmetry of the function [tex]f(x)=|x|[/tex] is represented by the y-axis.
The given function is [tex]f(x)=|x|[/tex].
The function can be defined as,
[tex]f(x)=x;\;\;x\geq0\\f(x)=-x;\;\;x<0[/tex]
The function will always give the positive value of y or f(x) for all values of x.
The graph of the function is in the shape of V which is symmetric about the y-axis.
See the attached image.
Therefore, the symmetry of the function [tex]f(x)=|x|[/tex] is represented by the y-axis.
For more details, refer to the link:
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Determine whether the sequence is arithmetic, geometric or neither. Then, write a recursive rule and an explicit rule, if possible 0.25, 1.75, 3.75, 5.75, 7.75, …
Answer:
Ok, here we have the sequence:
0.25, 1.75, 3.75, 5.75, 7.75, …
First let's define the two most common types of sequences:
Arithmetic: The difference between any two consecutive terms of the sequence is always the same.
Geometric: In this case, the terms are created by multiplicating the previous term by a constant number (and this is for all the terms in the sequence).
Now let's try to see if this is arithmetic, to do it, we select different sets of two consecutive terms and see their difference, if all the differences are the same, then this is an arithmetic sequence:
1.75 - 0.25 = 1.5
3.75 - 1.75 = 2
5.75 - 3.75 = 2
So for the first two terms, the difference is 1.5 and for all the next ones, the difference is 2, then it is not an arithmetic sequence.
(it would be if the first term was -0.25 instead of 0.25).
Now let's try with geometric.
To see if the series is geometric, we should see the quotient of consecutive pairs of numbers, if this quotient is the same for all of them, then this is a geometric sequence:
1.75/0.25 = 7
3.75/1.75 = 2.14
Well, we can see that the quotients are different, then this can not be a geometric sequence.
Then the answer will be neither.
If we want to write a recursive rule will be like an arithmetic sequence, but with the first two terms specified as:
a₀ = 0.25
a₁ = 1.75
aₙ = aₙ₋₁ + 2 for n = 2, 3, 4, .......
if 2x+8=16, what is the value of x+4?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8}}}}}[/tex]
Step-by-step explanation:
First, finding the value of x
[tex] \sf{2x + 8 = 16}[/tex]
Move 8 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{2x = 16 - 8}}[/tex]
Subtract 8 from 16
[tex] \dashrightarrow{ \sf{2x = 8}}[/tex]
Divide both sides by 2
[tex] \dashrightarrow{ \sf{ \frac{2x}{2} = \frac{8}{2} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 4}}[/tex]
Value of x is 4
Now, Substituting / Replacing the value of x in order to find x+4
[tex] \sf{x + 4}[/tex]
plug the value of x
[tex] \dashrightarrow{ \sf{4 + 4}}[/tex]
Add the numbers : 4 and 4
[tex] \dashrightarrow{ \sf{8}}[/tex]
Hope I helped!
Best regards! :D
is the sequence "109,104,99,94", finite?
Answer:
NO.
Step-by-step explanation:
The common difference is -4 and you can continue to add -4 for ever!!
How to find the domain when given the range? Plz answer quickly. I have test on Friday. Plz just explain to me. I Just Need To Find DOMAIN when given the range.
Answer:
the domain represents all the x values and range represents all the y value
In a function y=mx+b ( linear equation), the problem is giving the y values so plug in the value of each (y) in the equation to get x.
example: the range is : { 2,4,6} find the domain in the function y=x+1
y=x+1 take value 2
2=x+1
x=1 when y=4 then x=3when y=6 then x=5the domain is { 1,3,5}this goes for linear equation
Solve y = 4x + 8x for x
Answer:
[tex]\displaystyle x=\frac{y}{12}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]y=4x+8x[/tex]
And we want to solve it for x.
We can combine like terms on the right-hand side:
[tex]y=12x[/tex]
We can now divide both sides by 12:
[tex]\displaystyle x=\frac{y}{12}[/tex]
In conclusion:
[tex]\displaystyle x=\frac{y}{12}[/tex]
Answer:
[tex]\Huge \boxed{ x=\frac{y}{12} }[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]y=4x+8x[/tex]
Combining like terms.
[tex]y=12x[/tex]
Dividing both sides by 12.
[tex]\displaystyle \frac{y}{12} =x[/tex]
[tex]\rule[225]{225}{2}[/tex]
The least common multiple of 52,65 and 91 is what?
Convert 21.7 kilometers to centimeters.
Step-by-step explanation:
Notice that 1km = 1000m = 100000cm.
Therefore 21.7km = 2170000cm.
Answer:
2170000 cm
Step-by-step explanation:
21.7 k/m × 10³ × 10²
The temperature was -2F. Dropped 9F. What is the temperature after it dropped 9F
Answer:
________
-11
________
Maya has 120 cupcakes to sell. Each cupcake is covered with one topping. 1/5 of the cupcakes are covered with peanuts. 1/3 are covered with chocolate chips. 36 are covered with coconut. The rest are covered with sprinkles. How many cupcakes are covered with sprinkles?
Answer:
There are 20 cupcakes covered with sprinkles.
Step-by-step explanation:
To find the amount of cupcakes that are covered with sprinkles you would have to subtract the amount of cupcakes covered with peanuts, the ones covered with chocolate chips and the ones covered with coconut from the total amount of cupcakes:
Total amount of cupcakes=120
cupcakes covered with peanuts=1/5*120=24
cupcakes covered with chocolate chips=1/3*120=40
cupcakes covered with coconut=36
Now, you can subtract the different cupcakes from the total amount to find the quantity left that would be the ones covered with sprinkles:
cupcakes covered with sprinkles=120-24-40-36
cupcakes covered with sprinkles=20
According to this, the answer is that there are 20 cupcakes covered with sprinkles.
look at this shape : which image shows a rotation?
Answer:
Option C
Step-by-step explanation:
The reciprocal of a number is added to three.The result is the quotient of 25 and the number. Find the number
Answer:
8
Step-by-step explanation:
Let x represent the number. Then the reciprocal is 1/x. The quotient of 25 and the number is 25/x. The problem statement tells us ...
3 + 1/x = 25/x
Subtracting 1/x, we have ...
3 = 24/x
x = 24/3 = 8 . . . . . . . . multiply by x/3
The number is 8.
Math questions please! I need them now. As much as u can
Answer:
The first one
Step-by-step explanation:
It is the first one as it is just the original expanded.
It isn't the third on because the second bracket is technically - 1x-6 so it is positive.
2xa=-2a
2x-3=-6 etc.
Hope this helped!
x^2-15x-108 Factoring need help
x=15-657/2=15-373/2=-5.316
x=15+657/2=15+373=20.316
If the product of p*q*r is an irrational number, and p is a rational number,
which of the following statement can be said about g andr
Only a can be irrational
Both q and must be irrational
Both qand may be irrational
may beration
Answer:
only q or r can be irrational
Step-by-step explanation:
Rational numbers are numbers that can be expressed in the form a/b, where both a and b are integers and b ≠ 0. The decimal representation of an rational numbers either repeats the sequence of digits over again or terminates at a finite number.
Irrational numbers are numbers that are not rational. The decimal representation of an irrational number does not repeat a sequence of digits over again and never terminates. e.g √2, π.
The product of two irrational numbers is a rational number, the product of two rational numbers is a rational number while the product of a rational and irrational number is an irrational number. Hence since in p*q*r is an irrational number and p is a rational number, If both q and r are irrational then:
q*r = irrational * irrational = rational
p*(q*r) = rational * rational = rational. Since the result is not an irrational number then both q and r cannot be irrational.
But, If either q and r are irrational then:
q*r = irrational * rational = rational * irrational = irrational
p*(q*r) = rational * irrational = irrational. Since the result is an irrational number then only q or r can be irrational
Answer:
1) Both q and r may be rational
2) r may be rational if q is irrational
Step-by-step explanation:
I did the quiz and got it right. Also I watched the video twice. You got this!!!!
Joshua is keeping a record of the temperatures this week in December. The temperatures this week are shown below. What is the difference between the coldest temperature and warmest temperature that Joshua recorded
Answer:
Find the highest (8.9°C) temperature and subtract it by the lowest (-13.4°C)
8.9°C - (-13.4°C) = 22.3
The difference in temperature on the coldest and warmest day is 22.3°C
Find the modulus of the following. |9+40i|
Answer:
41Step-by-step explanation:
Given a complex number z = x+iy, the modulus of the complex number is expressed as |z| = √x²+y².
Given the complex number z = 9+40i
The modulus of the complex number z will be expressed as;
|z| = √9²+40²
|z| = √81+1600
|z| = √1681
|z| = 41
Hence the modulus of the complex number |9+40i| is 41. Note that a complex number will return a real value.
Answer:
|9+40i| = 41
|-10+24i| = 26
He should have used 13 instead of 13i.
Step-by-step explanation:
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Edge 2021
15 less than a number y
Answer: it would be: y - 15
as an expression
Answer:
y-15
Step-by-step explanation:
Here it means we are removing 15 from y