Answer: ∛(3)
Step-by-step explanation:
Suppose that at day 0 the population was A.
at day 3, the population will be: 3*A
at day 6, the population will be 3*(3*A) = A*3^2
then, at day N = 3*n (where n = 0, 1, 2.....) the population will be:
P(N) = A*3^n
Particularly, if we take n = 1/3 we will have:
N = 3*1/3 = 1
This means that this is the first day after the day 0.
P(1) = A*3^(1/3)
(then in day one, the population grow by a factor of 3^(1/3))
N = 2 is when n = 2/3, then:
P(2) = A*3^(2/3)
The quotient between P(2) and P(1) is equal to the growth between day one and day two, this should be the same as the growth between day zero and day one.
A*3^(2/3)/(A*3^(1/3)) = 3^( 2/3 - 1/3) = 3^(1/3)
So we found that the daily growth rate is 3^(1/3) or ∛(3)
The daily growth rate of the bacteria is an illustration of unit rates
The daily growth rate of the bacteria is 0.136
For 22 days, the population of the bacteria triples.
The daily rate is the amount of bacteria each day.
So, we have:
[tex]\mathbf{Daily = \frac{Rate}{Days}}[/tex]
This gives
[tex]\mathbf{Daily = \frac{3}{22}}[/tex]
Divide
[tex]\mathbf{Daily = 0.136}[/tex]
Hence, the daily growing rate of the bacteria is 0.136
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6. The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero
Answer:
hio
Step-by-step explanation:
hi
As early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.
Given that, the ancient Babylonians were writing fractions in 1800 BCE.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
In fact, at first, fractions weren't even thought of as numbers in their own right at all, just a way of comparing whole numbers with each other.
The word fraction actually comes from the Latin "fractio" which means to break. To understand how fractions have developed into the form we recognize, we'll have to step back even further in time to discover what the first number systems were like.
From as early as 1800 BC, the Egyptians were writing fractions. Their number system was a base 10 idea (a little bit like ours now) so they had separate symbols for 1, 10, 100, 1000, 10000, 100000 and 1000000.
Hence, as early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.
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"X is the number of red marbles that Tonya has in her hand after she selects four marbles from a bag containing four red marbles and two green ones and then notes how many there are of each color."
Answer:
Explained below.
Step-by-step explanation:
There are four red marbles (R) and two green marbles (G) in the bag.
The random variable X is defined as the number of red marbles that Tonya has in her hand after she selects four marbles from the bag.
The probability of selecting a red marble is:
[tex]P(X)=\frac{4}{6}=0.667[/tex]
The sample space of X can be defined as follows:
Outcomes: {(RGGG), (RRGG), (RRRG), (RRRR), (RRGR), (RGRR), (GRRR), (RGRG), (GRRG), (RGGR), (GRGR), (GRGG), (GGRG), (GGGR), (GGGG)}
So, the sample space of X is:
S = {0, 1, 2, 3 and 4}
Michael is saving to buy a car. He has 2/5 what he needs to buy the car. His savings account has a balance of $ 1000. How much does the car cost? How much more does he need to SAVE?
2500
1,000 divided by 2/5 is 2,500
There are 52 students in the seventh grade. If 25% are absent on a particular day, find the number of students present in the grade.
Name
Date
Class
LESSOn
10-2
Graphing Systems of Linear Inequalities
Practice and Problem Solving: Modified
Answer:
kpealeakara
Mon. Nov. 16 2020
ss1
8
Answer:
8 is your answer am right or wrong
see image help me as fast as possible, please
6/8 reduced to the lowest term
Answer:
3/4
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
both the numerator and denominator can be divided by 2
6/2=3
8/2=4
so 6/8 in lowest terms is 3/4
2/? x 4/2 = 8/14
:>>
Answer: 7
Step-by-step explanation: 2x4=8. 7x2=14.
The unknown value in the given expression is 7.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given is an expression 2/? x 4/2 = 8/14, we need to find the unknown value,
So,
2/? x 4/2 = 8/14
8/2? = 8/14
1/2? = 1/14
2? = 14
? = 14/2
? = 7
Hence, the unknown value in the given expression is 7.
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please answer correctly see image bellow.
Answer:
51.9 sec
Step-by-step explanation:
Jason purchased a pack of game cards that was on sale for 13% off. The sales tax in his country is 8%. Let y represent the original price of the cards. Write an expression that can be used to determine the final cost of the cards.
Answer: The correct option is option (B) 1.08(0.87y).
Step-by-step explanation:
The answer is B
100% - 13% = 87% or .87
Tax is 8% or .08
Total cost would be 1 + .08 x .87
or 1.08(0.87y)
Draw a number line model to determinen -2 +8
Answer:
the answer of that would be 6
Point e,d, and h are the midpoints of the sides of the triangle TUV. UV = 80, TV=100, and HD = 80
Answer:
Step-by-step explanation:
We will use to midsegment theorem to solve this question.
Midsegment theorem,
Segment joining the midpoints of two sides of a triangle, is parallel and and measure the half of the the third side.
7). HE is the midsegment.
HE = [tex]\frac{1}{2}(VU)[/tex]
= [tex]\frac{1}{2}\times (80)[/tex]
= 40
8). ED = [tex]\frac{1}{2}\times (TV)[/tex]
= [tex]\frac{1}{2}(100)[/tex]
= 50
9). HD = [tex]\frac{1}{2}(TU)[/tex]
TU = 2(HD)
= 2(80)
= 160
10). TE = [tex]\frac{1}{2}(TU)[/tex]
= [tex]\frac{1}{2}\times 160[/tex]
= 80
Which represents the solution set of the inequality 5x-921
A committee of size 5 is to be selected at random from 3 women and 5 men. The probability distribution for the number of women on the committee is normal.
No
Yes
May be
None of the above
Answer:
no
Step-by-step explanation:
Convert the following fractions to equivalent fractions?
A point is randomly chosen in the circle shown below.
In which region of the circle is the point certain to be chosen?
in region A
in regions C or D
in region E
in a region with a letter
Answer: in a region with a letter
Step-by-step explanation:
we cannot predict for sure what will happen when we plot the random point.
Answer:
A certain answer would be in a region with a letter
Step-by-step explanation:
All the sections have letters so, no matter what letter, the point would land in a section with a letter.
Find the equation of the circle that has a diameter with endpoints (-4,8) and (4,-4)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
First we need to find the distance between two points which is the diameter of the circle .
_________________________________
Suppose :
a = ( - 4 , 8 )
b = ( 4 , - 4 )
We have following equation to find the distance between two points.
[tex]distance = diameter = d[/tex]
[tex]d = \sqrt{ ( \: {y(b) - y(a)} \: )^{2} + ( \: {x(b) - x(a)} \: )^{2} } \\ [/tex]
Now just need to put the coordinates :
[tex]d = \sqrt{ ({ - 4 - 8})^{2} + ( \: {4 - ( - 4)} \: )^{2} } \\ [/tex]
[tex]d = \sqrt{ ({ - 12})^{2} + ({4 + 4})^{2} } [/tex]
[tex]d = \sqrt{ ({ - 12})^{2} + ({8})^{2} } [/tex]
[tex]d = \sqrt{144 + 64} [/tex]
[tex]d = \sqrt{208} [/tex]
[tex]d = \sqrt{4 \times 52} [/tex]
[tex]d = \sqrt{4 \times 4 \times 13} [/tex]
[tex]d = \sqrt{ {4}^{2} \times 13 } [/tex]
[tex]d = 4 \sqrt{13} [/tex]
This is the diameter of the circle.
We know that :
[tex]diameter = 2 \times radius[/tex]
So :
[tex]4 \sqrt{13} = 2 \times radius[/tex]
Divide sides by 2
[tex] \frac{4 \sqrt{13} }{2} = \frac{2 \times radius}{2} \\ [/tex]
[tex]2 \sqrt{13} = radius[/tex]
Remember it.
_________________________________
To find the equation of the circle except the radius , we need the coordinates of the centre.
The midpoint of the diameter is the centre of the circle .
So we have to find the midpoint of the diameter .
Look :
[tex]midpoint = center = o[/tex]
[tex]o = ( \: \frac{x(a) + x(b)}{2} \: , \: \frac{y(a) + y(b)}{2} \: ) \\ [/tex]
[tex]o = ( \: \frac{ - 4 + 4}{2} \: , \: \frac{8 - 4}{2} ) \\ [/tex]
[tex]o = ( \: \frac{0}{2} \: , \: \frac{4}{2} \: ) \\ [/tex]
[tex]o = ( \: 0 \: , \: 2 \: )[/tex]
This the coordinates of the centre.
_________________________________
Equation of the circle has a form like this :
[tex]( {x - m})^{2} + ({y - n})^{2} = {r}^{2} [/tex]
In which :
[tex]m = x - coordinate \: \: of \: \: the \: \: center \\ [/tex]
[tex]n = y - coordinate \: \: of \: \: the \: \: center \\ [/tex]
[tex]r = radius[/tex]
_________________________________
[tex]o = ( \: 0 \: , \: 2 \: )[/tex]
[tex]radius = 2 \sqrt{13} [/tex]
Thus :
[tex] ({x - 0})^{2} + ({y - 2})^{2} = ({2 \sqrt{13} })^{2} \\ [/tex]
[tex] {x}^{2} + ({y - 2})^{2} = 4 \times 13[/tex]
[tex] {x}^{2} + ({y - 2})^{2} = 52 [/tex]
This is the equation of the circle .
And we're done....
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
HHHHHHHHHHHHHHHHEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPpppppppppJane sells pillows. For a sale, she marks them down 5%. If the original price of a pillow is $15.00, what is the sale price?
Answer:
$ 14.25 this is probably the answer
The required two expressions are
(1-0.05)P
0.95 P
Step-by-step explanation:
First method : Here, the original price of pillow = P,
She marks them down 5%
Thus, the selling price = P - 5% of P = P - 0.05 P = (1-0.05)P
Second method :
Since, some number is 100% of itself,
⇒ 100 % = P
⇒ 1 % = P/100 = 0.01 P
Also, by decreasing 5 % from 100 %
The remaining percentage = 100 - 5 = 95%
⇒ 95 % = 95 × 0.01 = 0.95 P
Choose the correct pair of expressions to complete the solution of Sine (x + StartFraction 3 pi Over 2 EndFraction) = negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction, left-bracket 0, 2 pi right-bracket : blank times 0 + cosine x times blank minus StartFraction StartRoot 3 EndRoot Over 2 EndFraction:
cos x, 0
–sin x, –1
sin x, –1
–cos x, 0
Answer: C, sin(x), -1
Step-by-step explanation:
Edge;)
Answer:
C
Step-by-step explanation:
just took test :)
Work out the percentage change to 2 decimal places when a price of £12 is increased to £15.99. Work out the percentage change to 2 decimal places when a price of £12 is increased to £15.99.
Answer:
[tex]\%Increase = 33.25\%[/tex]
Step-by-step explanation:
Given
Initial = 12
Final = 15.99
Required
Determine the percentage increment
This is calculated as thus:
[tex]\%Increase = \frac{Final - Initial}{Initial} * 100\%[/tex]
Substitute values for Initial and Final
[tex]\%Increase = \frac{15.99 - 12}{12} * 100\%[/tex]
[tex]\%Increase = \frac{3.99}{12} * 100\%[/tex]
[tex]\%Increase = \frac{3.99* 100\%}{12}[/tex]
[tex]\%Increase = \frac{399\%}{12}[/tex]
[tex]\%Increase = 33.25\%[/tex]
Hence, the percentage increment is 33.25%
What is the unit rate of 25 rulers in 5 groups
Successive discounts of 20% and 10% are taken on an item priced at $16. Describe how to find the sale price of the item
and give the sale price.
Answer:
$11.52
Step-by-step explanation:
16 * .2 = 3.2
16 - 3.2 = 12.8
12.8 * .1 = 1.28
12.8 - 1.28 = $11.52
Take the given amount and take 20% off using the first 2 solutions, then take the "successive" discount of 10% using the second 2 solutions to get the final sale price
Stephanie also is 2/5 m Ike’s in 1/4 hour. What is her speed in mikes per hour?
Answer:
1.6 m/hr
Step-by-step explanation:
(Time) 1/4 of an hour = .25 or 15 mins
Distance = 2/5 mile or .40
Speed = distance / time
Speed = .40 / .25
Speed = 1.6 m/hr
Answer:
1 3/5 or 1.6 mph
Step-by-step explanation:
2/5 of a mile = 0.4 miles
0.4 x 4 = 1.6 or 1 3/5 (you get the 4 from multiplying 1/4 of an hour by 4 to get one hour)
Find the slope of the line that passes through (40,3000) and (60, 4000).
Answer:
[tex]m=50[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (40, 3000)
Point (60, 4000)
Step 2: Find slope m
Substitute: [tex]m=\frac{4000-3000}{60-40}[/tex]Subtract: [tex]m=\frac{1000}{20}[/tex]Divide: [tex]m=50[/tex]A beach is 2 3/5 miles long. Pets are allowed on 1/3 of the beach. How many miles of beach are pets allowed?
Answer:
13/15 of 1 mile, or 0.86666 miles
Step-by-step explanation:
If you are working with fractions, you can take the 2 3/5 miles of beach and convert that to 13/5 (10/5 = 2, then add the 3/5 = 10/5+3/5 = 13/5). Once converted, you can find out how much of that number allows pets by dividing that number by 3, or multiplying the result by 1/3.
13/5 * 1/3 = 13/15.
Another way to do this is to convert the original miles (2 3/5) to a decimal, which gives you 2.6 miles. Then take the 2.6 miles and again, either divide by 3 or multiply by 1/3 (which is basically the same thing). 2.6 ÷ 3 = 0.86666
Hope this helps!
Suppose you have a $3-off coupon at a fabric store. You buy fabric that costs $9.50 per yard. Write an equation that models the total amount of money y you pay if you buy x yards of fabric. What is the graph of the equation?
According to the Truth in Lending Act, which of the following is the bank NOT
obligated to inform you of?
A. Interest calculating method
B. Maximum finance charge
C. Annual fee amount
D. APR
According to the Truth in Lending Act, which of the following is the bank NOT obligated to inform you of is: A. Interest calculating method.
What is Truth in lending Acts?Truth in lending acts is an acts that enables lenders to disclose in utmost truth the terms and condition of the loans they offers including all the important or necessary information that a borrower is expected to know.
The truth in lending acts obligate banks or lenders to inform their borrowers about the following:
Maximum finance chargeAnnual fee amountAnnual percentage rate (APR)Therefore the correct option is A.
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A line passes through the point (10,9) and has a slope of 3/2. Write an equation in slope intercept form for this line
Answer:
The equation of line passing through (10,9) and having slope 3/2 is: [tex]y = \frac{3}{2}x-6[/tex]
Step-by-step explanation:
The slope intercept form of a line is given by:
[tex]y=mx+b[/tex]
We are given
Slope = m = 3/2
Point = (10,9)
Putting the value of the slope in the equation we get
[tex]y = \frac{3}{2}x+b[/tex]
b is the y-intercept. To find the y-intercept we have to put the point through which the line passes in the equation.
Putting (10,9) in the equation
[tex]9 = \frac{3}{2}(10) +b\\9 = 15+b\\b = 9-15\\b = -6[/tex]
Putting b=-6 in the equation
[tex]y = \frac{3}{2}x-6[/tex]
Hence,
The equation of line passing through (10,9) and having slope 3/2 is: [tex]y = \frac{3}{2}x-6[/tex]
6th grade math I mark as brainliest
Answer:
you should put true
Answer:
true
Step-by-step explanation:
5 × 5 × 5 = 5 ^3
I WILL MARK YOU BRAINLEST I PROMISE PLS HELP!!
Answer:
January
Step-by-step explanation: