Answer:
10 m / minute
Step-by-step explanation:
Starting position = North ; back to North gives a Displacement of 0 ; the from that position to 900 m south gives a final Displacement of 900
Displacement / time
Displacement = 900
Time = 9 minutes
900 / 9
= 10 m / minute
A worker spent 3/4 of his monthly salary on food and 1/2 of the remainder on rent if he has 1500 left how much does he earn in a month
Answer:
$4000
Step-by-step explanation:
1500 × 2 =3000
3000 × ³/4 = 4000
HELP! Need to finish this or my dad will go nuts.
Answer:
The answer is 6.
Step-by-step explanation:
So basically, since we know that 4 x 4 is 16, then all we have to do is multiply 1 1/2 by 4. 1 1/2 times 4 equals 6.
Answer:
6 pages
Step-by-step explanation:
all you have to do is multiply 1 1/2 by 4 if 4x4 =16
PLEASE HELP!!!!!!!!!!!! VOLUME OF A CONE!!!!!!
Hi! Your answer is 125/3 π
Please see an explanation for a clear understanding to the problem.
Any questions about the answer/explanation can be asked through comments! :)
Step-by-step explanation:
For this problem, I'll be demonstrating two methods to solve your problem which are Integration method and Formula method. Let's start with Formula method first!
Formula Method
Volume of Cone Formula
[tex]V=\huge{\frac{1}{3}\pi r^2h}[/tex]
r is a radius. Therefore, r² is a diameter.
h is height of cone.
Our r is 5. Therefore, 5² = 25.
Our h is 5.
Substitute these values in the equation.
[tex]V=\huge{\frac{1}{3}\pi (5)^2(5)}\\V=\huge{\frac{1}{3}\pi (25)(5)} \\V=\huge{\frac{1}{3}\pi (125)}\\V=\huge{\frac{125}{3}\pi}[/tex]
Hence, the volume of a cone is 125/3 pi. If you want in Mixed Number form then It'd be 41 and 2/3 pi [ 41 2/3 pi]
Integration Method - Proof
Let r':r = x:h
Therefore,
[tex]\huge{\frac{r'}{r}=\frac{x}{h}}\\\huge{r'=\frac{x}{h}r[/tex]
r and h both are same (r is still radius while h is still height)
[tex]\huge{S(x)=\pi(r')^2[/tex]
The reason why we add pi because the surface is a circle. If the surface is not a circle, we don't add pi.
[tex]\huge{S(x)=\pi(\frac{x}{h}r)^2}\\\huge{S(x)=\pi(\frac{x^2r^2}{h^2})}\\\huge{S(x)=\frac{\pi r^2}{h^2}x^2}\\[/tex]
The range starts from 0 ≤ x ≤ h
[tex]\huge{V=\int\limits^h_0 {S(x)} \, dx[/tex]
Substitute S(x) in.
[tex]\huge{V=\int\limits^h_0 {\frac{\pi r^2}{h^2}x^2 } \, dx[/tex]
Integrate, separate everything in the integrand out except for x^2
[tex]\huge{V=\frac{\pi r^2}{h^2} \int\limits^h_0 {x^2} \, dx}\\\huge{V=\frac{\pi r^2}{h^2}[\frac{1}{3}x^3]^h__0}}\\\huge{V=\frac{\pi r^2}{h^2}[\frac{1}{3}h^3]}\\\huge{V=\pi r^2[\frac{1}{3}h]}\\\huge{V=\frac{1}{3}\pi r^2h}[/tex]
As you notice, Integration method is pretty useful, but it's mostly for an advanced volume lesson only.
Integration Method - Problem Solving
Let r':r = x:h
r is given as 5
h is given as 5 as well.
Therefore, r':5 = x:5
[tex]\huge{\frac{r'}{5}=\frac{x}{5}}\\\huge{r'=\frac{x}{5}(5)}\\r'=x[/tex]
[tex]\huge{S(x)=\pi(r')^2}\\\huge{S(x)=\pi(x^2)}\\\huge{S(x)=\pi x^2}[/tex]
The range of volume starts from surface to height. Therefore the range is 0 ≤ x ≤ 5
[tex]\huge{V=\int\limits^5_0 {S(x)} \, dx }\\\huge{V=\int\limits^5_0 {\pi x^2} \, dx }\\\huge{V=\pi\int\limits^5_0 {x^2} \, dx }\\\huge{V=\pi[\frac{1}{3}x^3]^5__0}}\\\huge{V=\pi[(\frac{1}{3}(5)^3-\frac{1}{3}(0)^3]}\\\huge{V=\pi[(\frac{1}{3}(125)-0)]}\\ \huge{V=\pi[(\frac{1}{3}(125)]}\\\huge{V=\pi(\frac{125}{3})}\\\huge{V=\frac{125}{3}\pi}[/tex]
Notice that both methods have same answer. Hence, we can conclude that the volume of a cone is 125/3 pi units²
please help i have to turn in in 8 mins....thanks :)
6√3
Step-by-step explanation:
6 is x. side across from right angle (12) is 2x. so 6x2 to get 12. missing side is x√3. so 6√3
Answer:
6√3
Step-by-step explanation:
using the pythagorean theorem you can plug in the numbers to get √(12^2 - 6^2) = √(144-36) = √108 = 6√3.
PLEASE HURRY~ DUE SOON
You ride your bicycle along the outer edge of the park. Then you take a shortcut back to where you started. Find the length of the shortcut. Round your answer to the nearest tenth.
Answers:
100m
60m
116.6m
160m
Answer:
116.6
Step-by-step explanation:
Answer:
116.6
Step-by-step explanation:
To solve this equation you would need to use the pythagorean theorem. The pythagorean theorem is [tex]a^{2} +b^{2}= c^{2}[/tex] where a and b are lengths of the triangle and c is the hypotenuse (the longest side of a triangle) in this case, the short cut.
First, you would substitute values into the equation:
[tex]100^{2}+60^{2}= c^{2}[/tex]
Then, you would multiply out the squares:
[tex]10,000+3600=c^2[/tex]
Add the numbers together:
[tex]13600=c^2[/tex]
Take the square root of both sides to get the answer:
[tex]c=116.619037897[/tex]
Then round to the nearest tenth to get the answer: c=116.6
At a sleepover, three friends ate of a pizza for a
snack the next day, the friends ate of the leftover
pizza What fraction of the whole pizza was not eaten?
Answer:
none
Step-by-step explanation:
if they ate it all as leftovers then there was no pizza left uneaten
The record time for the girls' 50-meter free style swimming competition is 24.49 seconds. Camilla has been training and wants to swim the 50-meter free style in less time. What are some possible times Camilla would have to swim to break the current record? Solve this problem any way you choose.
Answer:
[tex]x < 24.49[/tex]
Step-by-step explanation:
Given
[tex]Record = 24.49[/tex]
Required
Possible time to break the record
Since no option is given to select from. I will answer the question using inequalities
For her to break the record, she must swim at a time less than 24.49.
i.e. 24.48, 24.00, 23, 22.50, etc...
Represent the time with x.
So, the inequality is:
[tex]x < 24.49[/tex]
Could anyone mind helping I have until 9
The graph of y = f(x) is shown.
a) Find f(0)
4-
3.
b) Give the roots of f(x) = 0
Answer:
f(0) = 2
Roots are;
-2 and -1
Step-by-step explanation:
F(0) simply refers to the y-values when x = 0
This is the point at which the graph crosses the y-axis
the value here is 2
To
find the roots of f(x) , we simply find the points at which the plot crosses the x-axis
we have this at x = -2 and x = -1
These are what represents the roots of the equation
Help ASAP! Question 12 points)
05.02 MC
The angles below are supplementary. What is the value of x? (5 points)
5
7.5
15
30
Answer:
D
Step-by-step explanation:
supplementary means two angles that there sum will be 180. and 30 x 4 = 120 + 20 = 140 and if you add the other angle 40 that's 180.
how many terms are in the following?
5x-7+8k+2x+k
Answer: 5
Step-by-step explanation:
Terms are single numbers, variables, or the product of a number and variable.
mrs. washington's class has x student. Three-fourths of these students like pizza.If 21 students in the class like pizza, which equation can be solved to determine the number of students in the class?
A. 21x = 3/4
B. 21x = 4/3
C. 4/3x = 21
D.3/4x = 21
PLSSS HELP MEE SHOW UR WORK!!
Answer:
(-3, 13)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = -4x + 1
11y = x + 146
Step 2: Solve for x
Substitution
Substitute in y: 11(-4x + 1) = x + 146Distribute 11: -44x + 11 = x + 146[Addition Property of Equality] Add 44x on both sides: 11 = 45x + 146[Subtraction Property of Equality] Subtract 146 on both sides: -135 = 45x[Division Property of Equality] Divide 45 on both sides: -3 = xRewrite/Rearrange: x = -3Step 3: Solve for y
Define original equation: y = -4x + 1Substitute in x: y = -4(-3) + 1Multiply: y = 12 + 1Add: y = 13please help work this out
Answer:
Area=190.091 cm^2
Step-by-step explanation:
Area = 1/2(Pi x r^2) one-half because it's a semi-circle
Area=1/2(3.14 x 11^2)
11^2=121 so, Area=1/2(3.14 x 121)
Area=1/2(379.94)
Area=189.97 cm^2
adjustment:
Area=1/2(3.142 x 11^2)
Area=1/2(3.142 x 121)
Area=1/2(380.182)
Area=190.091
Please help. Cesium-137 has a half-life of 30 years. Identify the amount of cesium-137 left from 150 milligram sample after 120 years.
1.325 mg
0.9375 mg
9.3750 mg
1.097 mg
Answer:
1.325 mg
have a good day :)
Answer:
9.3750 mg
Step-by-step explanation:
can someone pls help it’s rate of change and i only need to do all of the evens. it’s due in an hour
Answer: I wasn't sure if number 18 was 350.00 but that's what I put down to do the problem hope I'm not too late.
9. $72.45
10. $15.52
11. $30.69
12. $48.95
13. $6.39
14. $67.6
15. $18.02
16. $51.6
17. $11.25
18. $175.00
19. $3.20
20. $10.00
21. $31.25
22. $45.90
Step-by-step explanation:
3y=4.8 (I'm so confused it isn't even funny)
Answer:
y = 1.6
Step-by-step explanation:
4.8/3=1.6
3*1.6=4.8
Answer:
[tex]y = 1.6[/tex]
Step-by-step explanation:
[tex]3y = 4.8[/tex]
Use inverse operations to solve this problem. Inverse operations is a method of solving a linear (and in some cases quadratic) equation. This method has one do the same operations to both sides such that it cancels out the operations done to the variable, and hence, it leaves one with the solution.
In this case, all one has to do is divide both sides by the coefficient of the varibale (y).
[tex]3y = 4.8[/tex]
÷[tex]3[/tex]
[tex]y = 1.6[/tex]
PLS HELP I WILL GIVE BRIANLY
A box has a certain number of blue,white,red and yellow marbles. 2/5 of the marbles are blue. The number of white, red and yellow marbles in the box are equal. Which of the following could be the number of marbles in the box?
what is the question again?
How many terms are in the given expression?
52 + Zn - 2f
Answer:
3
Step-by-step explanation:
Answer:
3 terms are given
Step-by-step explanation:
Which of the following represents the area of the shaded region in the figure above?
∫dcf(y)dy
the integral from c to d of f y d y
A
∫ba(d−f(x))dx
the integral from A to b of open paren d minus f of x close paren, dx
B
f′(b)−f′(a)
f prime times b minus f prime times A
C
(b−a)[f(b)−f(a)]
open paren b minus A close paren times open bracket f of b minus f of A close bracket
D
(d−c)[f(b)−f(a)]
It's B isn't it? If this is the question I'm thinking of. No image here so I'm just guessing.
Plz, HELP me with this question!
Answer:
2/3
Step-by-step explanation:
There is a 2 in 3 chance the pointer will not land on c or d.
The population of the town increased from 175000 to 262500 in a decade. What is the average percent increase of population per year?
Answer:
5%
Step-by-step explanation:
As given,
The population of the town increased from 175000 to 262500 in a decade.
⇒ In 10 years , population increased from 175000 to 262500
⇒% increase = [tex]\frac{262500 - 175000}{175000}[/tex]× 100% = [tex]\frac{87500}{175000}[/tex]×100% = 0.5×100% = 50%
Now,
Average % increase = [tex]\frac{percent increase}{Total years}[/tex] = [tex]\frac{50}{10}[/tex]% = 5%
∴ we get
Average percent increase of population per year = 5%
negitive 17plus n over 5 =33 what is n
Answer:
250
Step-by-step explanation:
-17+n/5=33
n/5=33-(-17)
n/5=33+17
n/5=50
n=50*5
n=250
n=182
Step by Step Explanation:
The equation we would start out with is:
[tex] \frac{ - 17 + n}{5} = 33[/tex]
From here, we need to multiply both sides by 5. This would create an equation of -17+n=165, as we canceled out the 5.
Then, you need to add 17 to both sides to isolate the variable. This would make the equation n=182, our final answer.
Which of the following situations can be represented by
C = 10 + 0.44n?
Your answer:
A. The total cost at the grocery store for a cake that cost $10 and n bananas that cost $0.44 each.
B. The total cost of 10 soft drinks that cost $0.44 each.
C. The height of a plant after n days that was 10 centimeters tall and it grew 4.4 milimeters a day.
D. Not here
Answer:
A and C
Step-by-step explanation:
27 POINTS!!!!!!!!!!!!! PLEASE!!!!
Answer:
Step-by-step explanation:
HELPPP MEEEEEEE
with this math
Answer:
it should be 1/8
Step-by-step explanation:
Today only, a table is being sold at a 32% discount. The sale price is $357.
What was the price yesterday?
Answer:
Step-by-step explanation:
(1-0.32)p=357
0.68p=357
p=$525
Answer:
471.24
Step-by-step explanation:
First you want to find 32% of 357, which is 114.24. Then you want to add that onto 357. Hope this helps!
A student is solving -5+2x=15 find the students mistake and correct it
Answer:
correct students
-5+2x=15
2x=15+5
2x=20(divided by 2 both sides)
x=10
mistake students
-5+2x=15
-3x=15(divided by - 3 both sides)
x=-5
The required simplified value of the given expression is given as x = 10.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
-5 + 2x = 15
Now,
Adding 5 on both sides,
2x = 15 + 5
2x = 20
Divide by 2 into both sides
x = 10
Thus, the required simplified value of the given expression is given as x = 10.
Learn more about simplification here:
https://brainly.com/question/12501526
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The question is incomplete, the correct solution is given above, to determine the mistake of the student, compare the above solution with the student solution.
In what case does 8 + 8 = 4?
The correct answer, = 20 points and brainliest.
Please answer if you know the answer
Good luck!!!
Step-by-step explanation:
8:00 + 8:00 = 16:00 = 4:00PM
The side length of the base of a square pyramid is 30 centimeters. The height of the pyramid is 45 centimeters. What is the volume of the pyramid in cubic centimeters.
Answer: 450 cm³ is the volume
Step-by-step explanation:
Volume of pyramid = L x W x H divide by 3
The required volume of the given square pyramid is 20,250 cubic centimeters.
Given that,
The side length of the base of a square pyramid is 30 centimeters. The height of the pyramid is 45 centimeters. The volume of the pyramid in cubic centimeters is to be determined.
Volume is defined as the ratio of the mass of an object to its density.
Here,
The volume of the square pyramid is given as,
= 1/2 area of base × height
= 1/2[30×30]×45
= 900 × 45 / 2
= 20,250 cubic centemeters.
Thus, the required volume of the given square pyramid is 20,250 cubic centimeters.
Learn more about Volume here:
https://brainly.com/question/1578538
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