Answer:
3.553774
Step-by-step explanation:
[tex] \frac{2}{3} \pi {r}^{3} = 94[/tex]
h
works out to 3.553774
The radius of the hemisphere with a volume of 94 m³ is :
r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]
What is a hemisphere? What is a mathematical function, equation and expression? hemisphere : a hemisphere is half of a sphere.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is hemisphere with a volume of 94 m³.
The volume of sphere is : V{S} = (4/3)πr³.So, the volume of hemisphere will be : V{S}/2 = V{H} = (2/3)πr³.So, we can write as :(2/3)πr³ = 94
πr³ = (94 x 3/2)
πr³ = 47 x 3
πr³ = 141
r³ = (141/π)
r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]
Therefore, the radius of the hemisphere with a volume of 94 m³ is :
r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]
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PLEASE HELP!!! ASAP: Decide whether there is enough information to prove that m || n. If so, state the theorem you would use.
Answer:
Alternative Interior Angles Converse
Step-by-step explanation:
The two angles shown in the figure above are alternate interior angles. Each is located within the two parallel lines intersected by the transversal, and they also lie on opposite side of the transversal.
The pair of angles are Alternate exterior Angle.
What are Parallel lines?The fundamental characteristics listed below make it simple to recognise parallel lines.
Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.Given:
From the Figure we can see that m is parallel to n.
and, from the property of parallel line we get the following equal angles
Vertical AnglesCorresponding AngleAlternate Interior Angle.Alternate exterior Angle.As, from the figure the pair of angles are Alternate exterior Angle.
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표에 제시된 상품의 품목 및 2015 년도의 수량이 소비자물가지수를 계산하는 기준이
된다면 2015 년도의 소비자 물가지수를 100 이라고 할 때 2020 년도의 소비자물가지수는
얼마인가?
Answer:
wat? HWHAHWhhwhwhwhwwhwhw
When you divide two fractions is the quotient always smaller than the dividend?
A fraction can really look like anything. So the quotient can be sometimes larger than the dividend.
2x^3+128 factor polynomials
Answer:
2(x−4)(x^2+4x+16)
Step-by-step explanation:
2(x^3-4^3)
b=4
2(x-4) (x^2+x*4+4^2)
= 2(x-4) (x^2 +4x+ 16
Hope this helps :)
The cost to mail a letter is a base charge of $0.42 plus $0.17 for each ounce. Write an expression to represent the cost for mailing a letter that is w ounces. Then find the cost for mailing a letter that is four ounces.
0.17 + 0.42w; $1.85
0.42 + 0.17w; $1.10
0.17 + 0.42w; $2.36
0.42 + 0.17w; $2.36
What is the Domain and range of y = 2 x - 11 + 2
Step-by-step explanation:
the domain is the set or range of valid values for x.
the range is the set or range of valid values for y (= f(x)).
if you did not miss anything in your problem statement, then I see a function
y = 2x - 11 + 2
no restrictions are defined.
so, domain and range are both the interval
(-infinity, +infinity).
notice the round brackets, as "infinity" is never a value and cannot be included in an interval.
now, if you missed a division sign and the function looks like
y = 2/x - 11 + 2
then we know, x must never be 0, as a division by 0 is undefined.
so, the domain in that case would be
-infinity < x < 0, 0 < x < +infinity
or short
x <> 0
the range would still be every possible value in
(-infinity, +infinity).
A bank pays simple interest at the rate of 5% per annum on all deposits. Interest is credited to the account quarterly on March 31st, June 30th , September 30th and December 31st, based on the minimum quarterly balance for that period. If a person opens an account with a deposit of $ 40,000 on January 1st. They then make a withdrawal of $ 3,000 on 10th June. If there were no further transactions (deposits or withdrawals), how much interest will be credited to the account on December 31st.
La barbería El Caleño, tiene en promedio 120 clientes a la semana a
un costo actual de $6000 por corte de cabello. Se sabe que por cada incremento
de $700 en el precio, la peluquería pierde 10 clientes. ¿Cuál es el precio máximo
que puede cobrarse de modo que los ingresos semanales no sean menores que los
actuales?
Queremos maximizar el precio de tal forma que los ingresos no disminuyan.
Ese maximo precio es: $14,040.6
Sabemos que actualmente el precio es:
p = $6,000
El número de clientes es:
C = 120
Actualmente los ingresos son el producto de esos dos números, es decir:
ingresos = $6,000*120 = $720,000
Ahora sabemos que por cada incremento de $700 en el precio, el número de clientes decrece en 10.
Entonces podemos escribir el número de clientes como una ecuación lineal.
C(p) = a*p + b
tal que tenemos dos puntos en esa linea:
($6,000, 120)
($6,700, 110)
La pendiente es:
[tex]a = \frac{110 - 120}{\$6,700 - \$6,000} = \frac{-10}{\$ 700}[/tex]
Entonces tenemos:
C(p) = (-10/$700)*p + b
Sabemos que:
C($6,000) = 120 = (-10/$700)*$6,000 + b
120 = -85.71 + b
120 + 85.71 = b =
Entonces la ecuación lineal es:
C(p) = (-10/$700)*p + 205.71
Los ingresos serán dados por:
ingresos = C(p)*p = (-10/$700)*p^2 + 205.71*p
Y queremos maximizar p de tal forma que esto sea igual a lo que obtuvimos antes:
(-10/$700)*p^2 + 205.71*p = $720,000
Entonces debemos resolver la ecuación cuadratica:
(-10/$700)*p^2 + 205.71*p - $720,000 = 0.
Las soluciones son dadas por la formula de Bhaskara.
[tex]p = \frac{-205.71 \pm \sqrt{(205.71)^2 - 4*(-10/\$ 700)*\$ 720,000} }{2*(-10/\$ 700)} \\\\p = \frac{-205.71 \pm 195.45}{(-20/\$ 700)}[/tex]
La solución de maximo valor es:
p = (-205.71 - 195.45)/(-20/$700) = $14,040.6
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A bank loaned out $13,000, part of it at the rate of 7% per year and the rest at 15% per year. If the interest received in one year totaled $1500, how much was loaned at 7%?
Answer:
Total yearly interest for the two accounts is: $1500
Step-by-step explanation:
Total amount of money invested: $13000
x+y=13000,
Total yearly interest for the two accounts is: $1500
0.07*x+0.17*y=1500
x=13000-y
Substitute for x
0.07*(13000-y)+0.17*y=1500
Multiply out
910-0.07y+0.17*y=1500
Combine like terms.
0.1*y=590
Isolate y
y=$ 5900.00 at 17%
x=13000-y
Calculate x
x=$ 7100.00 at 7%
Check
0.07*7100+0.17*5900=1500
497+1003=1500
1500=1500
If this statement is TRUE and neither amount is negative then all is well
(Hope this helps can I pls have brainlist (Crown)☺️)
[(-2)²×3]÷[(-9)-5+2]
Answer:
-1
Step-by-step explanation:
1. To simplify this expression, let's go through the steps of BODMAS.
[tex]\frac{(-2)^2(3)}{-9-5+2}[/tex] [tex]\frac{(4)(3)}{-9-5+2}[/tex] [tex]\frac{12}{-9-5+2}[/tex] [tex]\frac{12}{-14+2}[/tex] [tex]\frac{12}{-12}[/tex] [tex]-1[/tex]Therefore, the answer is -1.
Let r = .05 be the reserve rate. Which of the following is the money multiplier?
Answer:
1/0.05
Step-by-step explanation:
The formula for the money multiplier is :
1/ Reserve rate
If is wrong i'm sorry
Answer:
1/0.05
Step-by-step explanation:
Just did test
PLEASE HELP :(
Which order do these go in?
Will mark BRAINLEST
Answer:
1 - 5
2 - 3
3 - 8
4 - 1
5 - 2
6 - 7
7 - 4
8 - 6
Step-by-step explanation:
It takes 46 pounds of seed to completely plant a 5 acre field how many pounds of seeds are needed per acre
Answer:
I think 9 if im not correct i sincerely apologize
Correct answer gets brainiest
Answer:
[tex]x + 2x + a + 90 \degree = 360\degree \\ x + 2x + 132\degree + 90 \degree = 360\degree \\ 3x + 222\degree = 360\degree \\ 3x = 360\degree - 222\degree \\ 3x = 138\degree \\ x = \frac{138\degree}{3} \\ \boxed{ x = 46\degree}[/tex]
What is the value of x?
Enter your answer in the box. I need help ASAP/ Giving Branniest
x =
°
Answer:
x = 80
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
70+30+x = 180
100+x = 180
Subtract 100 from each side
100+x-100 = 180-100
x = 80
What is James's spendable income this pay period? (use pay stub) *
1 point
$709.74
$1000.00
$797.48
Julie bought 4,649 lemons to make lemonade for a birthday party if this number is rounded to the nearest hundred about how many lemons did Julie bought ?
I need the solving too please
Patty is ordering vests for her scout troop to wear in the Veterans Day parade. She ordered 12 vests from the Festive Features clothing shop. Since this was a bulk order, Festive Features reduced the price of each vest by $6. The total came to $132.
Which equation can you use to find the amount, v, Festive Features normally charges for a vest?
Answer:
Step-by-step explanation:
The diagram below shows a small ant and an ant find the difference in length of the two large ants . Help pls
Answer:
yay
Step-by-step explanation:
2.) Carl had 16 candles that he spent $44.56 on. If his budget was $35 dollars how much did he
go over.
Answer:
he went $9.56 over
Step-by-step explanation:
PLEASE HELP - VERY EASY MATH AND EASY 18 POINTS.....
Suppose you have a choice to receive $100 per day or 1 cent on day one, 2 cents on day two, 4 cents to day 3 on so on...
a) In how many days will both options end up paying about the same amount in total?
Answer: JK ITS IMPOSSIBLE BOIIII yeah it is the pennies even with the 1 penny at the beginin dun work ive tried smashing calculator about this many times 2147483649 and it doesnt work out so yeah f
Answer: It's not possible
Step-by-step explanation:
Simplify: answer in the box
Answer:
I got 24x^2 over x^2+7x+10
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Janice Went to five different stores in the mall, she spent an average of $30 at each store. After visiting just the first four stores she had spent $100, how much was she have spent at the last store based on her overall average?
A.$25
B.$30
C.$50
D.$70
Based on Janice average, she spent $50 at the last store.
Let a, b, c, d, e represent the money spent on the five stores respectively.
Since she spent an average of $30 at each store, hence:
(a + b + c + d + e) / 5 = 30
(a + b + c + d + e) = 150
She spent $100 on the first four stores, hence:
a + b + c + d = 100
(a + b + c + d + e) = 150
100 + e = 150
e = 50
Hence based on Janice average, she spent $50 at the last store.
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what percent of the bottle of orange juice is water?
___% water
Orange juice that is 100 % orange juice is usally 88 % water
Answer:
88 percent is water and the rest is apple juice
The constant of proportionality can be found by finding the
Answer:
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
The constant of proportionality can be found by finding the ratio of y to x after applying the concept of a proportional relationship.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
It is given that:
The statement is:
The constant of proportionality can be found by finding the
As we know, from the definition of the proportional relationship; the relationship between two variables when the first variable increases.
Let x and y are in the proportional relationship
y ∝ x
y = kx
Here k is the constant of proportionality:
k = y/x
The constant of proportionality can be found by finding the ratio of y to x.
Thus, the constant of proportionality can be found by finding the ratio of y to x after applying the concept of a proportional relationship.
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ANSWER LAST QUESTION PLZZZ
Step-by-step explanation:
what ask you ask you not ask any question please write your question please mark me brainlist
You are tasked with finding the dimensions of an empty rectangular swimming pool. The goal is to calculate the amount of water needed to fill the pool. What would be the appropriate tool for taking the required measurements?
Please help! will mark brainlest
A. a ruler
B. a protractor
C. a compass
D. a measuring tape
Answer:
Its D
Step-by-step explanation:because the ruler is small and the other tools are not for it porpuse
MC)
The equation represents Function A, and the graph represents Function B:
Function A
f(x) = 6x-1
Function B
4
3
2
1
- 2
-3
-4
-5
-6
Which equation best compares the slopes of the two functions?
Previous Question
Take 2points on graph
(0,1)(1,4)[tex]\\ \sf\longmapsto slope=m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{4-1}{1-0}[/tex]
[tex]\\ \sf\longmapsto m=3[/tex]
Can someone help me write my statistics paper?
Answer:
Sure what do you need?
Step-by-step explanation:
A painter has 7/8 gallon of stain. An interior door requires 1/4 gallon of stain to finish. How many doors can be finished?
Answer:
Three and a half doors can be painted with 7/8 gallons
Step-by-step explanation:
It takes 2/8 to be 1/4 so divide each side of the 7/8 by 2 and you get 3.5/4
Answer:
3 and 1/2 doors can be painted with 7/8 gallons of stain