Answer:
6:5
Step-by-step explanation:
Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.
The algae is spherical in nature
Volume of the algae =4/3 pi r³
Volume of the algae = 4/3×pi×2.5³
Volume of the algae = 62.5/3 pi
Surface area = 4pi r²
Surface area = 4pi ×2.5²
Surface area = 25pi
Taking their ratio
surface area : volume ratio
= 25pi:62.5/3 pi
= 25 × 3/62.5
= 1.2
Hence the required ratio is 12/10 which is 6:5
The radioactive substance polonium-210, with a half-life of 138.39 days, is present in tobacco. Suppose that the soot in an ex-smoker's lungs contains 100 milligrams of polonium-210. How much radioactive polonium will remain after one year of not smoking
Answer:
16.07 milligrams
Step-by-step explanation:
From the question,
Using the formula of radioactive decay,
R/R' = 2ᵃ/ᵇ..................... Equation 1
Where R = Original mass of the polonium-210, R' = Final mass of polonium-210 after decaying, a = Total disintegration time, b = half life of polonium-210.
Make R' the subject of the equation
R' = R/(2ᵃ/ᵇ)................ Equation 2
Given: R = 100 milligrams, a = 1 years = 365 days, b = 138.39 days
Substitute these values into equation 2
R' = 100/(2³⁶⁵⁰⁰/¹³⁸³⁹)
R' = 100/(6.222)
R' = 16.07 milligrams of plonium-210
Evaluate. 2.2^3 . 2^-5 .2^-1
A. -4
B, -8
C. 1/4
D. 1/8
Answer:
Step-by-step explanation:
2^3 . 2^- 5 . 2^- 1
= 2^( 3 - 5 - 1 )
= 2^( 3 - 6 )
= 2^- 3
= 1 / 2^3
= 1 / 8
If
2 . 2^3 . 2^- 5 . 2^- 1
= 2^1 . 2^3 . 2^- 5 . 2^- 1
= 2^( 3 - 5 - 1 + 1 )
= 2^( 3 - 5 )
= 2^- 2
= 1 / 2^2
= 1 / 4
PLEASE HELP GEOMETRY PLEASE! SHOW WORK!!
Answer:
x = 106.5
Step-by-step explanation:
sin 28 = opp/hyp = 50/x
0.4695 = 50/x
0.4695x = 50
x = 106.5
Melissa's birthday is
next week and she has been receiving
receiving cards in the mail with different amounts of money. She has received 5 cards with
the following amounts: $10, $20, $ 25, $30, $40. If Melissa receives one more card in the mail with
$25, which of the following will happen?
Answer: a
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
A triangular prism has base edges 3 cm, 6 cm, and 7 cm long. Its lateral area is 464 cm^2. What is the height of the prism? Simplify your answer.
Answer:
A triangular prism has base edges 4 cm, 5 cm, and 6 cm long. Its lateral area is
300 cm2.
What is the height of the prism?
PLS ANSWER THE QUESTION
Answer:
There are 3,750 sweets in the carton
Step-by-step explanation:
Here, we want to get the total number of sweets
From the question, we have that individual box have 50 sweets
So the number of sweets in the carton have 75 boxes will be the product of the number of sweets and the number of boxes
Mathematically, we have this as;
50 * 75 = 3,750 sweets
wha the MIDPOINT of (-6, 8) and (6, -7)
Answer:
here you are:
the midpoint for (-6,8) and (6,-7) is (0, 1/2)
Step-by-step explanation:
the midpoint for (-6,8) and (6,-7) is (0, 1/2)
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x=2√5
Step-by-step explanation:
1st method:
sin(30)=opposite/hypotenuse=√5/x
sin(30)x=√5
x=√5/sin(30)
x=2√5
2nd method:
cos(60)=adjacent/hypotenuse=√5/x
cos(60)x=√5
x=√5/cos(60)
x=2√5
3rd method:
This is a 30-60-90 triangle, so we can multiply the short side, √5, by 2, to get x=2√5
Which equation is true?
A.
43 + 24 = 38 + 30
B.
43 + 24 = 38 + 19
C.
43 + 24 = 38 + 24
D.
43 + 24 = 38 + 29
Answer:
43 + 24 = 67
38 + 29 = 67
This means that there equal making
D. 43 + 24 = 38 + 29
The correct answer.
one day, bill at the candy shoo sold 210 bottles of cherry soda and grape soda for a total of 230.30. If the cherry soda costs 1.15 and the grape soda costs $.99, how many of each kind where sold
Find the area of the circle.
50.24 in?
803.84 in?
d= 8 in.
25.12 in?
12.56 in?
200.96 in?
Answer:
The answer is 50.24
Step-by-step explanation:
Equation is: 3.14 times 4²
Radius is 1/2 the diameter
PLZ HELP!!!!!!!!! IM BEING TIMED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B. 40
Step-by-step explanation:
It looks like a 90-degree angle so...
90 - 30 = 60
60 - 20 = 40
40 would be your final answer.
1. Oblicz:
a) Liczbę o 15% mniejszą od 60
b) Liczbę, której 15% stanowi 60
c) Jakim procentem 60 jest 15
d) O ile %większa jest 60 od 15
2. Kasia kupiła buty na wyprzedaży przecenione o 20%. Ich cena początkowa to 180 zł. W domu sprzedała je siostrze zarabiając na tym 10% wartości. Ile zapłaciła Kasi siostra za buty?
3. Liczba, którą powiększymy o 20% daje nam 30. Jaka to była liczba?
4. Za dwie książki zapłacono 42 zł. Ile kosztuje droższa z nich, jeżeli jedna jest o 25 % tańsza od drugiej?
Step-by-step explanation:
1. Oblicz:
a) Liczbę o 15% mniejszą od 60
b) Liczbę, której 15% stanowi 60
c) Jakim procentem 60 jest 15
d) O ile %większa jest 60 od 15
2. Kasia kupiła buty na wyprzedaży przecenione o 20%. Ich cena początkowa to 180 zł. W domu sprzedała je siostrze zarabiając na tym 10% wartości. Ile zapłaciła Kasi siostra za buty?
3. Liczba, którą powiększymy o 20% daje nam 30. Jaka to była liczba?
4. Za dwie książki zapłacono 42 zł. Ile kosztuje droższa z nich, jeżeli jedna jest o 25 % tańsza od drugiej?
what is the sum of 3,3,6
Answer:
12
Step-by-step explanation:
Sum means addition. 3 + 3 + 6 = 12
Answer:
12
Step-by-step explanation:
i hope this is what you meant
Stevens rectangle measures 3 1/2 units by 2 1/3 units what is the area?
factor completely;
3x^2+4x-7
Answer:
(3x-7) (x+1)
Step-by-step explanation:
3x^2 - 4x - 7
First split the middle term
3x^2 + 3x - 7x - 7
Make into two separate expressions
(3x^2 + 3x) (-7x-7)
Take out what you can
3x (x+1) -7 (x+1)
Now you have your answers
(3x-7) (x+1)
DaJuan has a photo that is 4 inches in width by 6 inches in length that
he wants to enlarge for his mother's birthday. The width of the enlarged
photo is 10.5 inches. What is the length of the enlarged photo?
please help if u can! thx
Answer:3x-x+2=4
Step-by-step explanation: source: (Too much work) srry
Robert has a number cube, a coin, and a (fair) spinner numbered 1 to 6.
What is the probability that Robert will roll a "3", land on tails, and spin an even number.
(3 independent events)
Answer:
A: 3/8
B: 5/24
C: 11/24
D: 1/24
The diameter of a circle is 14 cm. Find its area in terms of \piπ.
Can someone please help me find the area of the semicircle
Answer:
The area of each semicircle is (1/2)25(pi) for a total of 25pi.
Mason wants to play with Maliyah's Doll House, but first he needs to stop at the clubhouse. If all
three stops are in the shape of a triangle, which of the following distances would NOT be an option?
Answers :
5 6 9 city blocks
6 8 14
7 9 10
8 15 17
Answer:
B. 6, 8, 14 city blocks
Step-by-step explanation:
Out of the 4 options, the distances 6 8 14 would not be an option.
What is triangle inequality?Triangle inequality states that the sum of any two sides in a triangle is always greater than the third side.
A)5+6>9
6+9>5
5+9>6
So the triangle is possible.
B) 6+8=14 while the condition is that the sum of any two sides in a triangle is always greater than the third side i.e 6+8 must be greater than 14.
So, the triangle is not possible.
Similarly, C and D are possible triangles.
Hence, out of the 4 options, the distances 6 8 14 would not be an option.
To get more about triangles visit:
https://brainly.com/question/2644832
GIVING BRANLIEST 5 STARS AND A LIKE PLS HELP IM SOOOOO STUCK
b) If the base of the panel is 31.2 inches and the height is 18 inches, what is the area of one triangular section?
What is the formula with these numbers plugged in? --
Answer --
Answer:
280.8 and the formula is Base x Height = ? x.5
Step-by-step explanation:
(31.2 x 18) x 0.5 =280.8
is this rational or irrational?
Answer:
rational
hope it helps.
HELPPPPP PLZ ITS 6TH GRADE MATH
20b−2b+3b+x
Answer:
21b+x
Step-by-step explanation:
Answer:21b+x
Step-by-step explanation:
i got u
what is are the answers to this question? (no download link). Please give me a short answer and a step-by-step explanation.
Answer:
1 and 3 are the only ones that have one solution. basically, when dealing with system of equations there can be one of three answers- one solution, infinitely many solutions, or no solution. Using elimination or substitution to solve each system of equation will give you the answer.
Step-by-step explanation:
i hope this helps :)
Hey guys I need help with a question.
Please come I am offering 30 points for the question.
(No links or I will report)
Answer:
alternate exterior angles
Step-by-step explanation:
When two lines are crossed by another line (called the Transversal): Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.
Help please! No links!
For the following box plot, determine whether the given numbers would be considered outliers.
(Use the "IQR X 1.5" method.)
A. A height of 61 in.
B. A height of 69 in.
C. A height of 74 in.
D. None of these would be considered outliers.
Answer:
D option is your answer bro
A motorboat averages 20 miles per hour (mph) in still water. It takes the boat the same amount of time to travel 3 miles with the current as it does to travel 2 miles against the current. What is the current's rate in mph?
Answer:
4 mph
Step-by-step explanation:
Let :
Boat speed = 20 mph
speed of current = x mph
Distance against current = 2 miles
Distance with current = 3 miles
speed against current will be ; 20 - x
speed with current will be ; 20 + x
Time =distance / speed against time against = time with current
Solving Mathematically ;
2/(20-x )=3/(20 +x)
2(20+x )= 3( 20-x )
40+2x = 60-3x
3x +2x=20
5x=20
x = 20 / 5
x = 4 mph
Speed of current = 4 mph
plsss beggg i need this right now. deadline now at 6:00 pm and it's 5:03 here so please answer this :(
Answer:
Step-by-step explanation:
-First one is -17.3
-6 months
-ıdk this one
The area of a rectangular field is 7371 m2. If the length of the field is 91 meters, what is its width?
Answer:
81 m
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = 7371 m²
Length (L) = 91 m
Width (W) =?
Area of a rectangle is given by the following equation:
Area = Length × Width
A = L × W
With the above formula, we can obtain the width of the rectangular field as follow:
Area (A) = 7371 m²
Length (L) = 91 m
Width (W) =?
A = L × W
7371 = 91 × W
Divide both side by 91
W = 7371 / 91
W = 81 m
Thus, width of the rectangular field is 81 m