Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.
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
image down below plz help
Answer:
A
Step-by-step explanation:
I feel strongly that it is A.
Peter says If you subtract 14 from my number and multiply the difference by -2, the result is -44 What is Peters number?
Answer:
36
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Let the number be x, then
First subtract 14 from number x, then
x - 14
Now multiply difference by -2, results -44
(x - 14) × -2 = -44
By solving equation,
-2X + 28 = - 44
- 2X = -44 - 28
X = -72 ÷ -2
x = 36
So, Peter's number is 36.
One diagonal of the kite is three times as long as the other diagonal. If the area of the kite is 48 square meters, what is the length of each diagonal?
Given:
One diagonal of the kite is three times as long as the other diagonal.
The area of the kite is 48 square meters.
To find:
The length of each diagonal.
Solution:
We know that, the area of the kite is:
[tex]A=\dfrac{d_1d_2}{2}[/tex]
Where, [tex]d_1,d_2[/tex] are two diagonals of a kite.
It is given that, one diagonal of the kite is three times as long as the other diagonal.
Let [tex]d_1=3d_2[/tex]. Then the area of the kite is:
[tex]A=\dfrac{3d_2d_2}{2}[/tex]
[tex]A=\dfrac{3d_2^2}{2}[/tex]
The area of the kite is 48 square meters.
[tex]\dfrac{3d_2^2}{2}=48[/tex]
[tex]3d_2^2=2(48)[/tex]
[tex]d_2^2=\dfrac{96}{3}[/tex]
[tex]d_2^2=32[/tex]
Taking square root on both sides, we get
[tex]d_2=\sqrt{32}[/tex] [It is only positive because side length cannot be negative]
[tex]d_2=4\sqrt{2}[/tex]
Now,
[tex]d_1=3d_2[/tex]
[tex]d_1=3(4\sqrt{2})[/tex]
[tex]d_1=12\sqrt{2}[/tex]
Therefore, the diagonals of the kite are [tex]4\sqrt{2}[/tex] units and [tex]12\sqrt{2}[/tex] units.
The table shows the blood pressures of 16 clinic patients. What is the interquartile range of the data?
A) 7.75
B) 8.50
C) 9.25
D) 10.75
The interquartile range of the data will be 9.1.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The table shows the blood pressures of 16 clinic patients.
Now,
Since, The data set is,
⇒ 81.6, 84.1, 87.6, 82.8, 82.0, 88.9, 86.7, 96.4, 84.6, 104.9, 90.8, 94.0, 69.4, 78.9, 75.2, 91.0
Arrange in ascending order as;
⇒ 69.4, 75.2, 78.9, 81.6, 82.0, 82.8, 84.1, 84.6, 86.7, 87.6, 88.9, 90.8, 91.0, 94.0, 96.4, 104.9
Clearly, There are 16 clinic patients.
Hence, The lower quartile (Q₁) = 81.6 + 82 / 2
= 81.8
And, The Upper quartile (Q₃) = 90.8 + 91 / 2
= 90.9
Thus, The interquartile range of the data = Q₃ - Q₁
= 90.9 - 81.8
= 9.1
Therefore, The interquartile range of the data = 9.1
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lol please help me i really don’t get this
Answer:
If y is inversely proportional to x then y is 3
A jar contains 30 red marbles, 50 blue marbles, and 20 white marbles. You pick one at random. Find
the given probabilities:
Type a full reduced fraction. Ex. 1/4
P(red)=
P(blue)=
P(not white)=
Answer:
P(blue)=1/2 50 marbles are blue
Use the drop down to answer the question about converting to a fraction.How many repeating digits are in ?What value is multiplied on both sides of the equals sign?What fraction represents ?
The decimal is a repeating decimal, and the actual fraction represented by 0.64⁻ is 64/99
The number of repeating digitsThe decimal number is given as:
0.64⁻
There are two numbers after the decimal point
So, the number of repeating digits is 2
The value multiplied on both sides of the equals signIn (a), we have the number of repeating digits to be 2.
So, the value multiplied on both sides is:
Value = 10²
Value = 100
Hence, the value multiplied on both sides of the equals sign is 100
The actual fractionThe number is the decimal points is 64.
And the value multiplied on both sides of the equals sign is 100.
So, the fraction is:
64/(100 - 1)
This gives
64/99
Hence, the actual fraction represented by 0.64⁻ is 64/99
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Answer:
2, 100, 64/99
Step-by-step explanation:
find the distance between the two points rounding to the nearest tenth (1,9) (-2,6)
Answer:
3sqrt2 is the distance between these two points
Shana plans to borrow $1,300 to buy a guitar. One bank is offering a simple interest rate of 5% per year on borrowed amounts. Another bank is offering a simple interest rate of 4%. Shana plans to repay the loan in 3 years. In dollars, how much can she save by borrowing from the bank with the lower interest rate? Record your answer in the box.
Answer:
5% times 3=15%
4% times 3=12%
15-12=3
1300 times 0.03= $39
39 dollars.
If m1 = 42°, what is m2?
The required measure of angle value of the m2 is 48°.
Given that,
The sum of two angles m1 and m2 is 90, where m1 = 42°,
What is the value of m2 is to be determined.
What is the angle?
The angle can be defined as the one line inclined over another line.
What is simplification?The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
m1 + m2 = 90
42 + m2 = 90
m2 = 48°
Thus, the required value of the m2 is 48°.
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Solve. Your solution needs to have the variable first. -4 + x < -10
Answer and Step-by-step explanation:
First off, we need to get the variable by itself. We do this by adding 4 to each side of the inequality.
x < -6
Our answer is x < -6, so all values that are inputted to x and are less than -6 are solutions to the inequality.
#teamtrees #PAW (Plant And Water)
Which could be the value of the third side of a triangle with sides 3 and 4? A. 3 B. 7 C. 12 D. 20
Answer:
c
Step-by-step explanation:
Please help ASAP!!!!Determine the total number of outcomes.
Picking a card from a standard deck then rolling a standard die.
A. 312
B. 58
C. 2
D. 46
Answer:
I believe it would be A
Step-by-step explanation:
A deck of cards has 52 cards in it, so it cant be C or D, and with all the possibilities it could not be B
Kelly's team won 85% of the games they played in a season. The team lost 12 games. How many games did Kelly's team win in the season?
Answer:
68 games
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Games won = 85%
Game lost = 12
Here, 100% - 85% = 12
15% = 12
or 1% = 0.8
So, total games played (100%) = 80 games
Now, number of games won = Total games - Games lost
= 80 - 12
= 68 games
Hence, Kelly's team wins 68 games in the season.
mel randomly selects a coin 150 times of which she selects a dime 30 times
Answer:
Random numbers for experimental probability. This means that if we roll a die 60 times we can expect each of the six faces to come up.
hope this helps
have a good day :)
Step-by-step explanation:
A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)
Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
The talk-time battery life of a group of cell phone is normally distributed with a mean of 5 hours and a standard deviation of 15 minutes. A) What percent of the phones have a battery life of at least 4 hours and 45 minutes?
The correct answer is 84%
The phone battery lasts at least 4 hours and 45 minutes is 84%.
What is normal distribution of data?A normal distribution is a probability distribution that is perfectly symmetrical around its mean (center), showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distribution will appear as a bell curve.
For the given situation,
The normally distribution has a mean of 5 hours and a standard deviation of 15 minutes.
50% of the normal distribution lies to the right of the mean. So, the battery will last longer than 5 hours.
The interval from 4 hours and 45 minutes and 5 hours represents one standard deviation to the left of the mean.
So, about 34% of time, the battery will last between 4 hours and 45 minutes and 5 hours.
Thus, the probability that the battery lasts at least 4 hours and 45 minutes,
⇒ [tex]50+34[/tex]
⇒ [tex]84[/tex]
Hence we can conclude that the phone battery lasts at least 4 hours and 45 minutes is 84%.
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6.8 x + 9.3 6.8 x + 9.3 equals -9.4 + 3.4 (2 minus 5x)
Answer:
x=-0.5
Step-by-step explanation:
6.8x + 9.3= -9.4 + 3.4 (2-5x)
6.8x + 9.3 = -9.4 + 6.8 - 17x
6.8x + 9.3 = -2.6 - 17x
22.8x = -11.9
x = -0.5
can someones please help me i dont get this
Answer:
176.25in^2
Step-by-step explanation:
You can tell that the two triangles on the left, and the two triangles on the right make a rectangle if you flip one of them. Because of this, you can multiply the base and height to get the area of both.
7.5*16=120 (left side)
7.5*7.5=56.25 (right side)
Now we add them to get the full area:
120+56.25=176.25in^2
On two investments totaling $6,500, Lydia lost 7% on one and earned 8% on the other. If her net annual receipts were $364, how much was each investment?
Answer:
$3,442.40
$3,057.60
Step-by-step explanation:
The computation of the each investment is as follows:
let us assume the one investment be x
And, the other investment be y
So
According to the question
x + y = $6,500
And,
-7x + 8y = $364
Now multiply by 7 in equation 1
7x + 7y = $45,500
-7x + 8y = $364
15y = $45,864
y = $3,057.60
x = $6,500 - $3,0657.60
= $3,442.40
Someone help and plz make sure it’s right will give brainiest if it is :)
Answer:
67....................
The distance between two cities is 4000 kilometers. One kilometer is 6 10 millimeters. What is the distance between the two cities in millimeters?
Answer: 4,000,000,000 mm
Step-by-step explanation:
One kilometer is 10^6 or 1000000 millimeters
So 4000x1000000
4x1 is 4
Annex the zeros. There are 9 zeros.
= 4,000,000,000 millimeters
The distance between the two cities in millimetres of 4,000,000,000 mm
What is a distance?
Distance is defined as the length between the two points just like in the question it is the length between the two cities.
We know that:-
One kilometer is 10^6 or 1000000 millimeters
So 4000x1000000
4x1 is 4
Annex the zeros. There are 9 zeros.
= 4,000,000,000 millimeters
Therefore the distance between the two cities in millimetres of 4,000,000,000 mm
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Which expression is equivalent to 7x + 4x2 – 5x?
Answer:
2x+8
Step-by-step explanation:
Answer:
[tex]4x^{2} +2x[/tex]
Step-by-step explanation:
I'm not sure what you want, because it says "which expression", but you didn't provide any answer choices.
So all you have to do for this is combine like terms, and the only ones were 7x and -5x, which equals 2x.
A 7.0 kg textbook is placed in a shelf 1.5 m high. What is the potential energy relative to the floor?
Answer:
PE = 102.9 Joules
Step-by-step explanation:
PE = mgh
= (7.0 kg)(9.8 m/s^2)(1.5 m)
= 102.9 Joules
The table below shows the cost of different numbers of goldfish at a pet store.
COST OF GOLDFISH
Number of Goldfish Cost
5 $1.50
10 $3.00
15 $4.50
20 $6.00
The cost is a linear function of the number of goldfish. Which statement describes the rate of change of this function?
A. The cost increases $0.30\$ 0.30$0.30 each time 111 goldfish is added.
B. The cost increases $1.50\$ 1.50$1.50 each time 111 goldfish is added.
C. The cost increases $3.00\$ 3.00$3.00 each time 555 goldfish are added.
D. The cost increases $6.00\$ 6.00$6.00 each time 555 goldfish are added.
Answer:
A (I think because i cant tell what the answers are saying)
Step-by-step explanation:
1.5/5= 0.3
3/10=0.3
4.5/15=0.3
6/20=0.3
Next time take a screenshot because i can not really see what the answers are supposed to be. But A is the only one that should be correct
Given the following data set 2,3,1,6,1,1,1,0,2,4,5,1,2,2,3
Mean
Median
Range
Mid range
Answer:
mean: 34/15=2.27
median: 2
range: highest-lowest...... 6-0=6
mid range: high + low divided by 2
6+0=6/2=3
Answer:
Mean: 2.27
Median: 2
Range: 6
Mid-range: 3
Step-by-step explanation:
The mean is adding the average of the data set; add up all numbers, then divide by how many numbers there are.
2 +3 + 1 + 6 + 1 + 1 + 1 + 0 + 2 + 4 + 5 + 1 + 2 + 2 + 3 = 34
There are 15 numbers in this data set.
34 ÷ 15 = 2.26666666667 ≈ 2.27 (nearest hundredth)
2.27 is the mean.
-------------------------------------------------------------------------------------------------------------The median is the middle number after putting the data set in numerical order.
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6
The median is 2.
--------------------------------------------------------------------------------------------------------------
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6
The range is the smallest number subtracted from the largest number.
6 - 0 = 6
6 is the range.
--------------------------------------------------------------------------------------------------------------
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6
The formula for mid-range is:
Maximum value + largest value ÷ 2.
The largest value is 6.
The minimum value is 0.
6 + 0 = 6
6 ÷ 2 = 3.
The mid-range is 3.
Find the measurements of side bc
44.95
19.73
39.82
40.31
Answer:
Option B
Step-by-step explanation:
By applying cosine rule in the given triangle ABC,
BC² = AC² + AB² - 2(AC)(AB)cos(∠A)
BC² = (26)² + (23)² - 2(26)(23)cos(47°)
BC² = 676 + 529 - 815.67
BC² = 389.33
BC = √(389.33)
BC = 19.73
Therefore, Option B will be the correct option.
Decide if each expression represents one third the sum of 5 and 4. choose yes or no for each expression.
Answer:
yes
no
yes
no
Step-by-step explanation:
pls mark brainliest
a gping out if bisinuess sale has the entire store marked 80./. off
Answer:
huh- So lemme get this straight if a dollar tree (where I live) goes out of business I can buy it for like 20 cents??? AWESOME. I'll do that.
Step-by-step explanation: