Answers
[tex]\bf S=\pi r\sqrt{10r^2}+2\pi r^2\implies S=\pi r^2\sqrt{10}+2\pi r^2 \\\\\\ S=\pi r^2(2+\sqrt{10})\\\\\\ b)\\\\ \stackrel{A=kS}{A=k\cdot \pi r^2(2+\sqrt{10})}\qquad \qquad \stackrel{C=kV}{C=k\cdot \cfrac{5\pi r^3}{3}}[/tex]
[tex]\bf c)\\\\ A\ge C\implies k\cdot \pi r^2(2+\sqrt{10})\ge k\cdot \cfrac{5\pi r^3}{3} \\\\\\ k\pi r^2(2+\sqrt{10})\ge \cfrac{5k\pi r^2r}{3}\implies \cfrac{\underline{k\pi r^2}(2+\sqrt{10})}{\underline{k\pi r^2}}\ge\cfrac{5r}{3} \\\\\\ 3(2+\sqrt{10})\ge 5r\implies 6+3\sqrt{10}\ge 5r\implies \cfrac{6+3\sqrt{10}}{5}\ge r[/tex]
Related Questions
The length and width of a rectangle whose length is 8 centimeters more than its width
Answers
Y + z — 2y
If y=4 and z= 2
(Simplify)
Answers
4+2-2y
Then add like terms
6-2y
That is as simplified as it gets.
Jeff prepares meals in the home of his customers. His fixed cost for transportation and supplies is $14.50. The labor and groceries needed for each family meal is $8.80, so the expense function is E=5.7q+8.8. T or F
Answers
Answer:
The given equation is false
Step-by-step explanation:
Given equation : E= 5.7q+8.8
To show : It is true or false
Solution : Cost of transportation and supplies is fixed = $14.50
Cost of labor and groceries for each family meal =$8.80
Let x is the number of meals
so, according to the question Expense function for x number of meals is
Expense function = x(cost of labor and groceries for 1 family meal)+ cost of transportation and supplies(fixed)
E= 8.80x+14.50 which is the required equation.
Therefore, given equation is false.
Select from the drop-down menu to correctly identify the property shown.
−4.8 + (3.2 + (−1.6)) = (3.2 + (−1.6)) + (−4.8)
A. Associative Property
B. Commutative Property
C. Opposite of a Sum Property
Answers
The answer is Commutative Property.
Answer:
Option B is correct.
Commutative property is used here.
Explanation:
Commutative Property states that we can add any number in any order, we will get the same result i.e, a+b = b+a.
let a = -4.8 and b = (3.2+(-1.6))
then, using commutative property we have;
a+b=b+a then,
−4.8 + (3.2 + (−1.6)) = (3.2 + (−1.6)) + (−4.8).
Solve for x. 4−(2x+4)=5
A x=6
B x=−10
C x=−52
Answers
4 - 2x - 4 = 5
-2x = 5
x = - 5/2 <==
The solution for x in the equation 4 - (2x + 4) = 5 is x = -5/2. So, the correct choice is x = -5/2. Option c is the correct choice.
To solve for x in the equation 4 - (2x + 4) = 5, follow these steps:
1. First, simplify the equation by combining like terms. Start by removing the parentheses by distributing the negative sign:
4 - 2x - 4 = 5
2. Now, simplify further by combining the constants on the left side of the equation:
(4 - 4) - 2x = 5
0 - 2x = 5
3. Next, isolate the variable x by getting rid of the -2 coefficient. To do this, divide both sides of the equation by -2:
(0 - 2x) / -2 = 5 / -2
0 / -2 - (2x / -2) = -5/2
0 + x = -5/2
4. Finally, simplify:
x = -5/2
So, the solution for x is:
x = -5/2
So, Option c is the correct choice.
For more such questions on equation:
https://brainly.com/question/17145398
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Que. Solve for x. 4−(2x+4)=5
A x=6
B x=−10
C x=−5/2
I need help on and c plz
Answers
Tatiana wants to give friendship bracelets to her 32 classmates. She already has 5 bracelets, and she can buy more bracelets in packages of 4.
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i dont know but good luck son
Tyron is making 52 cookies fi a party. Some will be pecan cookies. Some will be honey ginger cookies . The ratio of pecan to honey ginger cookies will be 7:6 . Suppose you use systematic guess and check to find the number of each type of cookie
Answers
Steps to divide 125.00 by 7.75
Answers
7.75 | 125
we want to get rid of that decimal....so we move it 2 spaces to the right....by doing that, we also have to move the decimal under the division sign by 2 spaces to the right....turning ur problem into :
16.1 R 225 <== ur answer
______
775 |12500.0
775
------- subtract
4750
4650
---------subtract
1000
775
-----------subtract
225
Write a number sentence that demonstrates each property.
Commutative property of addition
Associative property of addition
Identity property of addition
Answers
commutative property of addition
a+b=b+a
associative property of additon
(a+b)+c=a+(b+c)
identity property of addition
a+0=a
so number sentatnces
lets say a=1,b=2,c=3
commutative property of addition
1+2=2+1
associative property of addition
(1+2)+3=1+(2+3)
identity property of addition
1+0=1
Answer:
a + b = b + a
(a + b) + c = c + (b + a)
0 + a = a
I hope this helps, have an amazing day!
Drag the correct tiles that match.?
Answers
<EOB = 360- (90+90+58) = 122
<COB = 360 - (90+90+66) = 114
<COE = 360 - (90+90+56) = 124 so arcCE = 124
answer
<DFA = 58
<EOB = 122
<COB = 114
arc CE = 124
A one-minute advertisement on a local television station during prime time (8-10p.m.) costs the advertiser $12,800. To the nearest cent, how much does the advertisement cost per second? Show your work using dimensional analysis.
Answers
R = ($12,800 / minute) (1 minute / 60 seconds)
R = $213.33/seconds
Therefore, one second of advertisement during prime time costs $213.33.
The graph of g(x) = (1/2)x is the graph of f(x) = 2x reflected over the y-axis. Which graph represents g(x)?
Answers
f(-x)=2(-x)=-2x
g(x)=-2x
de graph is the one that passes through (0,0) and (1,-2) and -1,2)
Answer:
The answer is option two on the quiz. The graph is asking us to reflect the given graph over the y-axis. Therefore, the only one that matches is the second option. The graph that passes through (0,1), (-1,2), and (0,5)
a plane flies 1440 miles at a speed of 240mph how long does it take
Answers
We know that the distance is 1440 miles, and the speed is 240 mph.
We can put them in our formula: Time = 1440/240 = 6 hours or (6x60) = 360 minutes.
Speed =
240 =
Rearrange;
time =
time = 6 hours
X-3)4x^2+3x+2 what is the quotient?
Answers
Answer:
4x+15
Step-by-step explanation:
Given : Divisor = [tex]x-3[/tex]
Dividend = [tex]4x^2+3x+2[/tex]
To Find : Quotient
Solution:
[tex]Dividend = (Divisor \times Quotient) + Remainder[/tex]
[tex]4x^2+3x+2 = (x-3 \times 4x) +(15x+2)[/tex]
[tex]4x^2+3x+2 = (x-3 \times 4x+15) +(47)[/tex]
So, The quotient is 4x+15
Hence The quotient of the given expression is 4x+15
Answer: A
Step-by-step explanation:
Order square root of three, 2pi, and 1.5 from least to greatest
Answers
What is 8.478 in expanded form
Answers
HELP PLEASE,
Part a of the question was posted earlier on.
Answers
What are all the positive integers that are in the solution set for
m < 3
Answers
Answer to both of these?
Answers
9b/3b = 3
hope this helps
Two trains leave the same station at the same time, but are headed in opposite directions. One train travels at 50 miles per hour and the other train travels at 60 miles per hour. How much time passes until the trains are 660 miles apart?
Answers
Let the first train travel east and the second train travel west.
The distance traveled by the first train is
x = (50 mi/h)*(n h) = 50n mi
The distance traveled by the second train is
y = (60 mi/h)*(n h) = 60n h
The distance between the two trains after n hours is
x + y = 50 n + 60n = 110n mi
Because this distance is 660 miles, therefore
110n = 660
n = 6 hours
Answer: 6 hours
The price of gourmet coffee beans at the corner market has increased 10% per year over the past several years if the current cost is $40 per pound what did a pound of gourmet beans cost two years ago
Answers
Answer: $32.4
Step-by-step explanation:
Given : The price of gourmet coffee beans at the corner market has increased 10% (0.1) per year over the past several years.
The current cost is $40 per pound .
The exponential decay equation is given by :-
[tex]y=A(1-r)^x[/tex], where r is the rate of decay and A is the initial amount and x is the time period.
Put A = 40 , r= 0.1 and t=2, we get
[tex]y=40(1-0.1)^2=\$32.4[/tex]
Hence, the cost of a pound of gourmet beans two years ago= $32.4
A pair of fair dice is rolled.
a. What is the probability of rolling a sum of 9?
b. What are the odds against rolling a sum of 9?
Answers
b) 1-1/9=8/9
Favorable outcome {(3+6),(4+5),(5+4),(6+3) = 4 favorable outcome:
P(getting a sum = 9) = 4/36 = 1/9 = 0.1111
the odds AGAINST = the number of failure/number of success
the odds AGAINST = 1/9
based on the census state A has 11 fewer electoral votes for president then state b. If the total number of electoral votes for these two states is 87 find the number for each state.
Answers
a = b - 11
b - 11 + b = 87
2b - 11 = 87
2b = 87 + 11
2b = 98
b = 98/2
b = 49 <===
a = b - 11
a = 49 - 11
a = 38 <===
Are all whole numbers integers? Please Explain.
Answers
Soon after taking an aspirin, a patient has absorbed 320 mg of the drug. After 2 hours, only 80 mg remain. Find an exponential model for the amount of aspirin in the bloodstream after t hours.
Answers
[tex]\bf \textit{2 hours later, t = 2, the patient has 80mg in its blood} \\\\\\ 80=320(1-r)^2\implies \cfrac{80}{320}=(1-r)^2\implies \cfrac{1}{4}=(1-r)^2 \\\\\\ \sqrt{\cfrac{1}{4}}=1-r\implies \cfrac{\sqrt{1}}{\sqrt{4}}=1-r\implies \cfrac{1}{2}=1-r\implies r=1-\cfrac{1}{2} \\\\\\ r=\cfrac{1}{2}\implies r=0.5\qquad A=320(1-0.5)^t\implies \boxed{A=320(0.5)^t}[/tex]
805 tens in standard form
Answers
Identify the triangles that are right triangles.
Answers
Given that f(x)= x2+3 and g(x)= x+4/3 solve for (f(g(x)) when x =2
Answers
A certain recipe calls for 2/3 cup of flour. A chef is making an amount that is 3/7 of the recipe . How much should flour should the chef use?
Answers
Simply multiply 2/3 by 3/7 to get the answer. To multiply 2 fractions together, you multiply the numerators together and then multiply the denominator together.
2/3 x 3/7 = 6/21
But 6/21 can be expressed in a simpler fashion. Notice that both 6 and 21 can be evenly divided by 3. So divide both the numerator and denominator by 3
(6/3)/(21/3) = (2)/(7) = 2/7