Answer:
C. Segment Bisector
Step-by-step explanation:
suppose a population of bacteria in a petri dish has a doubling time of 6 hours. how long will it take for an initial population of 8000 bacteria to reach 12000? round your answer to two decimal places, if necessary.
For an initial Bacteria population of 8000 to reach 12000 bacteria it will take almost 4 hours.
Bacterial culture growth is defined as an increase in the number of bacteria within a population rather than an increase in the size of individual cells. Bacterial population growth occurs geometrically or exponentially. In each cycle of division (generation), the cell develops into 2 cells, then 4 cells, then 8 cells, then 16 cells, then 32 cells. The time required for generation formation, generation time (G), can be calculated using the following formula:
G = 1/n = \(\frac{t}{3.3logb/B}\)
where B is the number of bacteria at the start of observation, b is the number of bacteria present after period t, and n is the number of generations. This relationship indicates that the average generation time is constant and the rate of bacterial population growth is proportional to the number of bacteria at any given time point. This relationship holds only during periods of exponential population growth called logarithmic growth.
According to the question:
2^(t/6) = 12000/8000 = 1.5
t = 6log1.5/log2
= 3.6 hours
Round up, since in 4 hours it will double to 12,000.
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2
Which of the following is equivalent to the expression
: 4?
5
Mario Orozco's monthly gross pay is $7,500.00.
Housing expenses for
November were:
Mortgage Payment
Real Estate Taxes
Insurance
Electricity
Heating Fuel
Telephone
Cable Service
$936.30
272.00
129.50
87.50
160.50
39.50
89.99
a. Total Housing Costs
The total housing cost for Mario Orozco in November is $1,715.29.
To calculate the total housing cost for Mario Orozco in November, you need to add up all the individual housing expenses provided. Here's a breakdown of the calculations:
Mortgage Payment: $936.30
Real Estate Taxes: $272.00
Insurance: $129.50
Electricity: $87.50
Heating Fuel: $160.50
Telephone: $39.50
Cable Service: $89.99
To find the total housing cost, simply add up all these expenses:
$936.30 + $272.00 + $129.50 + $87.50 + $160.50 + $39.50 + $89.99 = $1,715.29
Therefore, the total housing cost for Mario Orozco in November is $1,715.29.
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(A = students on lawn and B = students in a lab). Then, all participants indicate their likelihood of scheduling a campus visit on a 10-point scale. Which statistical analysis should she run? a) Paired samples t-test; b) correlation; c) cross-tab; b) ANOVA; d) independent samples t-test
All participants indicate their likelihood of scheduling a campus visit on a 10-point scale Paired samples t-test.
What is campus?
A college or university's campus is traditionally the area of land on which those institutions' buildings are located. Libraries, lecture halls, dorms, student centres, dining halls, and park-like settings are typically found on college campuses.
An academic or non-academic institution's buildings and grounds are collectively referred to as a campus in modern times. The Apple Campus and the are two examples. The word, which is derived from a Latin word for "field," was first used in 1774 to refer to the sizable field next to Nassau Hall of the College of New Jersey (currently Princeton University). Princeton and the small neighbouring town were separated by a field.
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What number do you divide by 9 to get -5?
Answer:
-45
Step-by-step explanation:
9*(-5)=-45
Answer:
-45
Step-by-step explanation:
x÷9= -5
multiply
answe is -45
Please help me out here!! I’m so stuck on geometry.
Answer:I think it is FD
Step-by-step explanation:
x+5>3
please help because i got 8 but my number line doesn’t have 8 on it and I don’t understand how to get -2
Answer:
x>-2
Step-by-step explanation:
x+5>3
x>3-5
x>-2
PLEASE HELP ASAP!!!!
Use the graph of ƒ to find x if ƒ(x) = 2.
x = –0.5
x = –8
(–∞, –0.5)
x = 0.5
Answer:
\({ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}\)
what is the equation of the line in slope-intercept form?
The linear function for this problem is defined as follows:
y = x + 50.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the y-intercept.The graph touches the y-axis at y = 50, hence the intercept b is given as follows:
b = 50.
When x increases by 10, y also increases by 10, hence the slope m is given as follows:
m = 10/10
m = 1.
Hence the function is given as follows:
y = x + 50.
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Find the unit rate. Ryan can mow 3/5 of the yard in 2
hours. How much of the yard can Ryan mow in one hour?
Answer:
3/10 of the yard in one hour
Step-by-step explanation:
\(3/5(1/2)=3/10\)
Answer:
3/10 of the yard.
Step-by-step explanation:
What we know:
Ryan can mow 3/5 of a yard in 2 hours.
What we need to know:
How much of the yard Ryan can mow in 1 hour, so the unit rate.
How do we do this:
It's simple if you think about it.
Just divide 3/5 by 2 (or multiply by 1/2)
3/5 * 1/2
3/(5*2)
3/10 of the yard can be mowed in one hour.
Which value of n makes the equation 5/2 (4n-10)+4=2/3(6n-9) true?
9514 1404 393
Answer:
n = 5/2
Step-by-step explanation:
Given
5/2(4n -10) +4 = 2/3(6n -9)
5(2n -5) +4 = 2(2n -3) . . . . . . . simplify a bit
10n -25 +4 = 4n -6 . . . . . . . . . eliminate parentheses
6n = 15 . . . . . . . . . . . . . . . . . . . add 21-4n
n = 15/6 = 5/2
The value of n that makes the equation true is n = 5/2 = 2.5.
Зу +6 - 4(х - 9) Standard Form
Answer:
3y + 42 -4x
Step-by-step explanation:
3y +6 -4(x-9) distribute -4 through the ( )
3y + 6 -4x + 36 calculate add the numbers
3y + 42 -4x
An easy way to simplify fractions
Can somebody help I don’t understand this question.
Answer
# of pennies :7
#of nickels :6
#of quarters:20
Step-by-step explanation:
Paul earns a yearly salary of $29,100. His salary is divided equally into the same amount each month. How much money will Paul earn in January?
Answer:
$2,425 in January
Step-by-step explanation:
$29,100/12 months in a year = $2,425 each month
Evaluate the expression when b=5 and x= -4.
-b+6x
The value of the expression when b=5 and x= -4.= will be -29.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically.
To evaluate a given mathematical expression with variables if values of the variables are known.
You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
Given expression ;
-b + 6x
when b=5 and x= -4.
Subtitute;
-5 + 6 x (-4)
-5 - 24
-29
Therefore, the value of the expression when b=5 and x= -4.= will be -29.
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4) Evelyn used the proportion y/x = 5/3
when deriving the equation of a line with similar triangles. Which of these statements about the line are correct? Select two.
Using the slope-intercept form of the equation of a line, the correct statement are:
The slope of the line is 5/3
The y-intercept of the line is 0
Slope-intercept form of the equation of a lineFrom the question, we are to determine the statements about the given line that are correct
The given equation is
y/x = 5/3
To determine the statements that are correct, we will write the equation of the line the slope-intercept form of a line
The slope-intercept form of a line is given by
y = mx + b
Where m is the slope
and b is the y-intercept
Writing the equation in the slope-intercept form
y/x = 5/3
y = 5/3(x)
By comparing with the slope-intercept form of a line,
m = 5/3
c = 0
Thus,
The slope is 5/3
and the y-intercept is 0
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Write the fraction that repreent the colored part of each hape. Then, anwer and urround the larger fraction of each pair
The fraction that represents the colored part of each shape is i) ½ ii) 8/9 iii) ½ iv) ¼ v) 3/7 vi) ¼ vii) 1 viii) 4/9 ix) ½ x) 1/2.
Fractions refer to the parts of a whole. A fraction is a ratio between specified parts of a figure to all parts of a figure. The numerator indicates the parts of the whole and the denominator indicates the total number of equal parts. In the given shapes, as everything is equally divided, the fraction of shaded region is equal to the number of shaded parts divided by the number of total parts.
i) The number of shaded regions = 2
The total number of regions = 4
Fraction = 2/4 = 1/2
ii) The number of shaded regions = 8
The total number of regions = 9
Fraction = 8/9
iii) The number of shaded regions = 4
The total number of regions = 8
Fraction = 4/8 = ½
iv) The number of shaded regions = 1
The total number of regions = 4
Fraction = 1/4
v) The number of shaded regions = 3
The total number of regions = 7
Fraction = 3/7
vi) The number of shaded regions = 3
The total number of regions = 12
Fraction = 3/12 = 1/4
vii) The number of shaded regions = 10
The total number of regions = 10
Fraction = 10/10 = 1
viii) The number of shaded regions = 4
The total number of regions = 9
Fraction = 4/9
ix) The number of shaded regions = 4
The total number of regions = 8
Fraction = 4/8 = 1/2
x) The number of shaded regions = 1
The total number of regions = 2
Fraction = 1/2
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(x^3 − 3x^2 + 4) · (2x^3 + 3x^2 − 4x)
Answer:
2x^6 -3x^5 - 13x^4 + 20x^3 + 12x^2 - 16xStep-by-step explanation:
Multiplying and opening parenthesis
(x^3 − 3x^2 + 4) · (2x^3 + 3x^2 − 4x) =x^3(2x^3) + x^3(3x^2) - x^3(4x) - 3x^2(2x^3) -3x^2(3x^2) + 3x^2(4x) + 4(2x^3) + 4(3x^2) - 4(4x) =2x^6 + 3x^5 - 4x^4 - 6x^5 -9x^4 + 12x^3 + 8x^3 + 12x^2 - 16x =2x^6 -3x^5 - 13x^4 + 20x^3 + 12x^2 - 16xAnswer:
2x^6 - 3x^5 - 13x^4 + 20x^3 + 12x^2 - 16x
Step-by-step explanation:
(x^3 − 3x^2 + 4) · (2x^3 + 3x^2 − 4x)
~Distribute
x^3 * 2x^3 + x^3 * 3x^2 + x^3 * -4x - 3x^2 * 2x^3 - 3x^2 * 3x^2 - 3x^2 * -4 + 4 * 2x^3 + 4 * 3x^2 + 4 * -4x
~Apply rules of minuses and plus signs
2x^(3)x^(3) + 3x^(3)x^(2) - 4x^(3)x - 3 * 2x^(3)x^(2) - 3 * 3x^(2)x^(2) + 3 * 4x^(2)x + 4 * 3x^(2) - 4 * 4x
~Simplify
2x^6 - 3x^5 - 13x^4 + 20x^3 + 12x^2 - 16x
Best of Luck!
i need help please!1
Answer:
for the first picture, she cleans 30 windows
the second picture is 52/100 :)
Answer:
It's B for the first one.
For the second one, it is C
Step-by-step explanation:
30 * 0.3 = 9
So 30% of 30 is 9. She did 9 windows.
0.52 = 52/100
It's 52/100 because 0.52 = 52%. 52% then equals 52/100.
52/100 = 13/25
So the answer is 13/25
Sales tax is __________ the price
Sales tax is added to the price.
How to complete the blanksFrom the question, we have the following parameters that can be used in our computation:
The statement is about sales tax
As a general rule
sales tax are added to the price of the item that is being bought
So, the complete statement is Sales tax is added to the price.
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the teacher could best help the students understand that the triangle is equivalent to half a square by
The teacher can use a combination of these methods to help the students understand that a triangle is equivalent to half a square.
In order to help the students understand that the triangle is equivalent to half a square, the teacher can adopt different methods, including the following:
1. Drawing diagrams of the triangle and the square to show the comparison. The teacher can draw diagrams of a triangle and a square on the board and label the different parts.
They can then show the students that a triangle can be created by halving the square diagonally. This way, the students will be able to visualize the comparison and understand it better.
2. Demonstrating the concept practically. The teacher can also demonstrate the concept by using physical objects such as paper or cardboard.
They can show the students how to create a triangle by folding a square diagonally and cutting it along the fold. This way, the students will be able to see the practical application of the concept.
3. Using real-world examples. The teacher can also use real-world examples to help the students understand the concept better.
For example, they can show the students pictures of tents or rooftops that are shaped like triangles and explain how they are related to squares.
4. Conducting group discussions. The teacher can conduct group discussions where the students can share their understanding of the concept and ask questions.
This way, the students will be able to learn from each other and clarify any doubts they may have.
Overall, the teacher can use a combination of these methods to help the students understand that a triangle is equivalent to half a square.
The key is to use different approaches that cater to different learning styles and to encourage the students to participate actively in the learning process.
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Write the value f (1) =1 in an order pair
Answer:
(1, 1)
Step-by-step explanation:
if a rivet passes through two sheets of metal, each 1/16 of an inch thick, and has a shank of 1/4 inch, what length should the rivet be?
The length of the rivet should be 3/8 inch to pass through the two sheets of metal.
To solve this problemWe must take into account the shank length as well as the thickness of the two metal sheets.
Assumed:
Each sheet of metal has a thickness of 1/16 inch14 inch for the shank lengthThe thickness of the two metal sheets and the shank length must be added to determine the overall length of the rivet:
Total length = 2 * (Thickness of sheet metal) + Shank length
Substituting the values:
Total length = 2 * (1/16 inch) + 1/4 inch
Calculating the values:
Total length = 1/8 inch + 1/4 inch
Total length = 1/8 inch + 2/8 inch
Total length = 3/8 inch
So, the length of the rivet should be 3/8 inch to pass through the two sheets of metal.
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suppose you want to borrow $200,000 from the bank to buy a home and agree to repay the loan in 360 equal monthly payments, including all interest due. the bank charges 0.35% per month on the unpaid balance (4.2% per year compounded monthly).
Answer the following questions about this loan. How much is the monthly payment? $ .......... Round to the nearest cent.
........................
After making 360 monthly payments, how much will you have paid in total to the bank? $ .................... Round to the nearest cent. .............................
After making 360 monthly payments, how much of what you paid the bank was interest? $ ............. Round to the nearest cent.
........................
The monthly payment for the loan is $1,013.16. After making 360 monthly payments, you will have paid a total of $364,137.64 to the bank. The total interest paid to the bank over the 360 months is $164,137.64.
Determine the monthly payment?To calculate the monthly payment, we can use the formula for calculating the monthly payment on a loan:
\(\[M = \frac{P \cdot r \cdot (1 + r)^n}{(1 + r)^n - 1}\]\)
Where:
M is the monthly payment,
P is the principal loan amount,
r is the monthly interest rate, and
n is the total number of payments.
In this case, the principal loan amount is $200,000, the monthly interest rate is 0.35% (or 0.0035 as a decimal), and the total number of payments is 360. Plugging these values into the formula, we find that the monthly payment is $1,013.16.
To calculate the total amount paid to the bank over the 360 months, we simply multiply the monthly payment by the total number of payments: $1,013.16 * 360 = $364,137.64.
The total interest paid to the bank can be calculated by subtracting the principal loan amount from the total amount paid: $364,137.64 - $200,000 = $164,137.64.
Therefore, the monthly payment for the loan is $1,013.16, and after 360 monthly payments, the total payment to the bank is $364,137.64, with $164,137.64 being the total interest paid.
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10. Rosa is calculating the measure of an interior
angle of a regular polygon with 22 sides.
Which expressions can she use to find the
angle measure? Select all that apply.
(20 • 180°) , 22
(24 • 180°) , 22
(20 • 180°) , 20
[(22 + 2) • 180]° , 22
[(22 - 2) • 180]° , 22
Answer:
20 × 180° / 22
[(22 - 2) × 180°] / 22
Step-by-step explanation:
20 × 180° / 22
[(22 - 2) × 180°] / 22
Answers: Choice A and choice E.
Explanation:
The formula to get the sum of all interior angles of a polygon is
S = 180(n-2)
where n is the number of sides and S is the sum of the angles.
We then divide that over n to get the measure of each interior angle. This applies for regular polygons only.
i = interior angle
i = 180(n-2)/n
Now plug in n = 22.
i = 180(n-2)/n
i = 180(22-2)/22
i = 180(20)/22
i = (20*180)/22
which appears to match with choices A and E. This is assuming the comma should be a division symbol.
Find the distance between the two points rounding to the nearest tenth (if necessary).
(2,−4) and (7,8)
Answer:
d = 13
Step-by-step explanation:
First, the distance formula is needed:
\(d = \sqrt{(x_{2} - x_{1} )^{2} +(y_{2} - y_{1 })^{2} }\)
Next we assign the points
(2,-4) is point 1, (7,8) is point 2
\(d = \sqrt{(7 - 2 )^{2} +(8 - (-4))^{2} } \\d = \sqrt{5^{2} +12^{2} } \\d = \sqrt{25 + 144}\\ d = \sqrt{169} \\d = 13\)
Given two points (2,-4) and (7,8)
To find - The distance between given points.
We know the formula that is used to find the distance is given as
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
We let P = (2,-4)
and Q = (7,8)
\(x_1=2, y_1=-4\\x_2=7,y_2=8\)
on substituting we get
\(d=\sqrt{(7-2)^2+(8+4)^2}\\ d=\sqrt{(5)^2+(12)^2} \\d=\sqrt{25+144} \\d=\sqrt{169}\\ d=13\)
Hence we get the distance between (2,-4) and (7,8) is 13.
Final answer - The distance is 13.
SOMEONE HELP ME PLEASE IM STUCK ON THIS
Step-by-step explanation:
2×2×2×2
3 3 3 3
2×2×2×2
3×3×3×3
16
3×3×3×3 (divide)
= 16/81
hope it helpsss!!
can you mark me as the brainliest
CNA SOMEONE HELP ME
measure of
angle C = 48 degrees, a = 5, b = 9. What is the length
of c to the nearest tenth?
Answer: 6.8
Step-by-step explanation:
By the Law of Cosines,
\(c^2 = 5^2 + 9^2 - 2(5)(9)\cos 48^{\circ}\\\\c=\sqrt{5^2 + 9^2 - 2(5)(9)\cos 48^{\circ}}\\\\c \approx 6.8\)
Multiplying by which number is equivalent to finding 2%?