Answers
The circumference of the circle with a diameter of 8 meters is 8π meters or approximately 25.13m.
What is the circumference of the circle?A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The circumference of a circle is expressed mathematically as;
C = 2πr or πd
Where r is radius or d is the diameter and π is constant pi ( π = 3.14 )
Given that:
Diameter of the circle d = 8m
Circumference C = ?
Substituting the given value, we have:
C = π × d
C = 3.14 × 8m
C = 25.12m
Therefore, the circumference of the circle is approximately 25.13 meters.
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Related Questions
Given this equation what is the value of y at the indicated point?
Answers
Using curves, we can find that the value of y at the indicated point on the curve is √3.
What is the definition of curves?
A smooth-drawn figure or line with a bend or turns is referred to as a curve. A circle is an illustration of a curved shape. Geometry is a subfield of mathematics that examines the dimensions, characteristics, and shapes of figures.
Here in the question,
Given equation:
x = y² - 2
As a point (1, y) is on the curve, we can put the value of x coordinate in the equation:
1 = y² - 2.
Adding 2 on both sides:
1 + 2 = y² - 2 + 2
⇒ 3 = y²
⇒ y = √3.
Therefore, the value of y at the indicated point on the curve is √3.
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if m(x)=sin²(x), then m'(x)=?
Answers
So in this case, we have f(x) = sin²(x) and g(x) = sin(x). We know the derivative of sin(x) is cos(x), so g'(x) = cos(x).
To find f'(g(x)), we need to take the derivative of sin²(x) with respect to sin(x). This is a little bit tricky, but we can use the chain rule again! Let u = sin(x), so that f(x) = u². Then f'(x) = 2u * du/dx, where du/dx is the derivative of sin(x), which we already know is cos(x).
Putting this all together, we get:
m'(x) = f'(g(x)) * g'(x) = 2sin(x) * cos(x) = sin(2x)
Therefore, m'(x) = sin(2x).
m'(x) = 2sin(x)cos(x)
To derive this, we can start by writing m(x) as a composition of two functions: m(x) = f(g(x)), where f(u) = u² and g(x) = sin(x). Then, we can apply the chain rule:
m'(x) = f'(g(x))g'(x)
= 2g(x)cos(x)
= 2sin(x)cos(x)
where we have used the fact that f'(u) = 2u for any function f(u) = u². Thus, the derivative of m(x) = sin²(x) is m'(x) = 2sin(x)cos(x).
Hiya, I need help on a few questions URGENTLY
Boris has a coin collection that contains US, Euro and British coins.If the ratio of US to Euro coins is 5 to 2 and the ratio of Euro to British coins is 5 to 1. What is the ratio of US to British coins?
Amanda works at the local cafe and gets paid £10 per hour (h) and a fixed sum of £50 for a month. Write a formula for the money (m) that she will receive in a month?
A holiday package costs £190, plus £50 a day. What. formula shows the cost of the holiday, C for d days?
Answers
The ratio of US to British coins is 25 to 4.
The second term, £50, is a fixed sum she receives regardless of the number of hours worked.
The first term, £190, represents the fixed cost of the holiday package. The second term, £50d, represents the additional cost per day, which is £50 multiplied by the number of days.
How to solve the Problem?1. The ratio of US to Euro coins is 5 to 2, and the ratio of Euro to British coins is 5 to 1. To find the ratio of US to British coins, we can combine these ratios.
First, we need to make sure that the ratios have a common term. We can do this by multiplying the first ratio (US to Euro) by 5, which gives us a ratio of 25 to 10.
Next, we can use the second ratio (Euro to British) to convert Euro coins to British coins. Since the ratio is 5 to 1, for every 5 Euro coins, there is 1 British coin. So for every 10 Euro coins, there are 2 British coins.
Finally, we can combine the US to Euro ratio (25 to 10) with the Euro to British ratio (10 to 2) to get the ratio of US to British coins.
25 : 10 :: 10 : 2
Multiplying both sides by 2, we get:
50 : 20 :: 10 : 2
Simplifying, we get:
The ratio of US to British coins is 25 to 4.
2. To calculate Amanda's monthly pay, we can use the formula:
m = 10h + 50
where m is the total money Amanda receives in a month, and h is the number of hours she works.
The first term, 10h, represents her pay for the number of hours she works, which is £10 per hour. The second term, £50, is a fixed sum she receives regardless of the number of hours worked.
3. To calculate the cost of the holiday package for d days, we can use the formula:
C = 190 + 50d
where C is the cost of the holiday package, and d is the number of days.
The first term, £190, represents the fixed cost of the holiday package. The second term, £50d, represents the additional cost per day, which is £50 multiplied by the number of days.
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1/2x + 2y, when x = 7 and y=8 help me please
Answers
Answer:
39/2 or 19.5
Step-by-step explanation:
To evaluate the expression 1/2x + 2y when x = 7 and y = 8, we can substitute the values of x and y into the expression and perform the necessary calculations.
Given:
x = 7
y = 8
Plugging these values into the expression, we get:
1/2(7) + 2(8)
Now, we can follow the order of operations (PEMDAS/BODMAS) to simplify the expression:
1/2(7) + 2(8)
= 1/2 * 7 + 2 * 8 (Multiplication has higher precedence than addition)
= 7/2 + 16 (Performing the multiplications)
= 7/2 + 32/2 (Finding the common denominator for addition)
= (7 + 32)/2 (Adding the numerators)
= 39/2 (Simplifying the fraction)
So, the value of the expression 1/2x + 2y when x = 7 and y = 8 is 39/2 or 19.5.
At Amy's Pizza Palace, the cost of a pizza depends on the number of toppings. The graph shows this relationship.
247
21
Cost of Pizza
(in $)
18-
15-
12-
9
6-
3-
1
2
6
3 4
Number of Toppings
7
TURUDANY
According to this graph, what is the meaning of the v-intercept?
Answers
The cost of pizza with no toppings is $6. So correct option is C.
Describe Graph?A graph is a visual representation of data or information, typically shown on a coordinate plane or a network of nodes and edges. Graphs are used to help people understand complex information by presenting it in a clear and concise way.
There are many different types of graphs, including bar graphs, line graphs, scatter plots, pie charts, and network graphs. Each type of graph is best suited for representing different types of data. For example, bar graphs are used to represent discrete data or data that can be divided into categories, while line graphs are used to represent continuous data or data that changes over time. Scatter plots are used to represent the relationship between two variables, while pie charts are used to represent percentages or proportions. Network graphs are used to represent complex systems of relationships between objects or people.
Graphs are commonly used in fields such as business, economics, science, and engineering to help people understand trends, patterns, and relationships in data. They can also be used to make predictions, identify outliers or anomalies, and communicate results to others. In addition, graphs can be customized to suit the needs of different audiences, such as by adding labels, titles, and other visual elements to make the data more understandable.
Because when x is 0 ,y is 6. So, the y intercept is the cost of a pizza with no toppings is $6.
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The complete question is:
The law of
applies during online sales
of shoes that is when consumers rush to buy products at 50% discounts.
The law of
Answers
The law of demand applies during online sales of shoes; that is when consumers rush to buy products at 50% discount.
What is the law of demand?In Mathematics and Economics, the law of demand can be defined as an economic theory which states that there exist a negative relationship between the price of a product (good) and the quantity of the product (good) that is being demanded by consumers.
This ultimately implies that, holding all the other factors constant, there would be a significant decrease (fall or decline) in the demand for a product (good) and service when the price of a product (good) and service in the market increases (rises), and vice-versa in accordance with the law of demand.
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Complete Question:
The law of ___________applies during online sales of shoes; that is when consumers rush to buy products at 50% discount
if g(x)= logx3, then g'(x)=?
Answers
g'(x) = d/dx [log(x^3)]
= 1/(x^3) * d/dx [x^3] (chain rule: d/dx [log(u)] = 1/u * d/dx [u])
= 1/(x^3) * 3x (power rule: d/dx [x^n] = n*x^(n-1))
Simplifying this expression, we get:
g'(x) = 3/x^2
Therefore, the derivative of g(x) = log(x^3) is g'(x) = 3/x^2.
Determine whether the following statements are TRUE or FALSE (do not write down the statements
just state TRUE or FALSE). [7 marks]
a. () ≥ 1 for any event .
b. () = 1 where is the Sample space.
c. If {} is any finite or infinite sequence of disjoint events, then (⋃
=1 ) = ∑ ()
=1 .
d. If ⊆ where and are two events in a sample space, then () ≤ ().
e. If and are two events in a sample space, then ( ∪ ) = () − () + ( ∩ ).
f. If and are two independent events in a sample space, then ( ⁄ ) = (∩)
() .
g. Mutually exclusive events are not independent
Answers
a. TRUE, b. TRUE, c. TRUE, d. TRUE, e. TRUE, f. FALSE, g. TRUE
How to determine whether the following statements are TRUE or FALSEa. TRUE: The probability of an event can never be negative, and can at most be equal to 1, which represents certainty.
b. TRUE: The sample space is the set of all possible outcomes of an experiment, and the probability of the sample space is always equal to 1, since one of the outcomes must occur.
c. TRUE: If the events in a sequence are disjoint, then they have no outcomes in common, so the probability of the union of the events is the sum of the probabilities of the individual events.
d. TRUE: If one event is a subset of another event, then the probability of the subset is less than or equal to the probability of the superset. This follows from the fact that the subset contains fewer outcomes than the superset.
e. TRUE: The probability of the union of two events is the probability of the first event plus the probability of the second event, minus the probability of the intersection of the events, which is the probability of both events occurring together. This is known as the inclusion-exclusion principle.
f. FALSE: The formula (P(A ∩ B) = P(A)P(B)) only applies to independent events, but not all independent events are mutually exclusive. For example, if A is the event of rolling a 4 on a die, and B is the event of rolling an even number, then A and B are independent, but not mutually exclusive.
g. TRUE: If two events are mutually exclusive, then they have no outcomes in common, so the occurrence of one event tells us that the other event cannot occur. This dependence means that the events are not independent.
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In a lab experiment, the decay of a radioactive isotope is being observed. At the
beginning of the first day of the experiment the mass of the substance was 1500
grams and mass was decreasing by 10% per day. Determine the mass of the
radioactive sample at the beginning of the 10th day of the experiment. Round to the
nearest tenth (if necessary).
Answers
The radioactive isotope has a final mass of 523 grams.
How to predict the mass of a radioactive isotope in time
Herein we find the case of a radioactive isotope, whose mass is decreasing exponentially in time. Whose expression is described below:
m(x) = a · (1 - r / 100)ˣ
Where:
a - Initial mass of the radioactive isotope, in grams.r - Decrease rate, in percentage.x - Time, in daysIf we know that a = 1500, r = 10 and x = 10, then the mass of the radioactive isotope is:
m(10) = 1500 · 0.90¹⁰
m(10) = 523.018
The final mass of the radioactive isotope is equal to 523 grams.
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In a 30°-60°-90° triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?
Answers
A hiker on the Appalachian Trail planned to increase the distance covered by 10% each day. After 7 days, the total distance traveled is 56.923 miles.
Part A: How many miles did the hiker travel on the first day? Round your answer to the nearest mile and show all necessary math work. (4 points)
Part B: What is the equation for Sn? Show all necessary math work. (3 points)
Part C: If this pattern continues, what is the total number of miles the hiker will travel in 14 days? Round your answer to the hundredths place and show all necessary math work. (3 points)
Answers
Let x be the distance traveled on the first day. Then, the distance traveled on the second day is 1.1x, on the third day is 1.1(1.1x) = 1.21x, and so on. After 7 days, the total distance traveled is:
x + 1.1x + 1.21x + ... + (1.1)^6 x = 56.923
Using the formula for the sum of a geometric series, we have:
x(1 - (1.1)^7)/(1 - 1.1) = 56.923
x(1 - 1.1^7)/(-0.1) = 56.923
x = 56.923(-0.1)/(1 - 1.1^7) ≈ 4 miles
Therefore, the hiker traveled approximately 4 miles on the first day.
The equation for Sn, the sum of the first n terms of the sequence, is:Sn = x(1 - r^n)/(1 - r)
where x is the first term, r is the common ratio (in this case, 1.1), and n is the number of terms.
Using the equation for Sn from Part B, we can find the total number of miles the hiker will travel in 14 days:S14 = x(1 - 1.1^14)/(1 - 1.1)
S14 ≈ 167.63
Therefore, the hiker will travel approximately 167.63 miles in 14 days.
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Work out sheet below please
Answers
Answer:
-4 + 8 = 4
-2 + 6 = 4
-1 + 5 = 4
So the three pairs are -4 and 8; -2 and 6; and -1 and 5.
tigate
b) The construction of a tangent to a circle given a point outside the circle can be justified using the
second corollary to the inscribed angle theorem. An alternative proof of this construction is shown
below. Complete the proof. (5 points)
Given: Circle C is constructed so that CD = DE = AD; CA is a radius of circle C.
Prove: AE is tangent to circle C.
1.
2.
3.
4.
5.
C
A
Statements
CD=DE
D
Circle C is constructed so that CD = DE = AD;
CA is a radius of circle C.
CD DE LAD
AACD is an isosceles triangle;
AADE is an isosceles triangle.
m/CAD+mzDCA+mzADC = 180º;
mzDAE+mzAED+mZEDA=
180°
E
1.
2.
3.
4.
Given
Reasons
Definition of congruence
Isosceles triangle
Substitution property
5. Isosceles triangle theorem
Answers
The proof that AE is tangent to circle C is given below:
What is the angle addition postulate?The angle addition postulate is a fundamental concept in geometry that states that the measure of an angle formed by two adjacent angles can be obtained by adding the measures of the two angles.
More specifically, given two adjacent angles with measures A and B, the measure of the angle formed by the two adjacent angles (denoted as AOB) can be found by adding the measures of the two angles:
A + B = AOB
This postulate is often used in geometric proofs and can be applied to any adjacent angles, including those formed by intersecting lines, parallel lines, or polygons.
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Help please i need this asap!! I'll give 100 points
Answers
The range is expressed in interval notation as (-1, ∞)
How to find the function (f+g)(x)?To find the linear function f(x), let us use the table given.
A linear function with the following equation that passes through the points (a, g(a)) and (b, g(b)):
[tex]g(x) - g(a) = \frac{g(b)-g(a)}{b-a} (x-a)[/tex]
Because the g(x) line crosses through points (-6, 14) and (-3, 8), we have:
a = -6, g(a) = 16, b = -3 and, g(b) = 10
Therefore g(x)
[tex]g(x) - (16) = \frac{10-16}{-3-(-6)} (x--(6))\\g(x) - 16 = \frac{10-16}{-3+6} (x+6)\\g(x) - 16 = \frac{-6}{3} (x+6)\\g(x) - 16 = -2(x +6)\\g(x) = -2x -12+16\\g(x) = -2x+4[/tex]
now find the (f+g)(x).
[tex](f+g)(x) = f(x) + g(x) = x^{2} + 2x -5 -2x + 4\\(f+g)(x) = f(x) + g(x) = x^{2} - 1\\[/tex]
(f+g)(x) = (x-1)(x+1), therefore we get the values x = 1 and x = -1
The parabola's vertice has x-coordinate 0 (the midway between the roots). At x = 0, we get:
[tex](f +g)(x) = 0^{2} - 1 = -1[/tex]
Furthermore, because the coefficient of [tex]x^{2}[/tex] is 1, which is positive, this function indicates a parabola that has been opened upwards.
As a result, the function's minimal value is y = -1. As a result, the function's range includes all real numbers equal to or greater than -1.
The range is expressed in interval notation as (-1, ∞)
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Explain what the constant of proportionality means in the equation 1 over 2 x + y
Answers
In the equation 1 over 2 x + y=c, the constant proportionality is defined as c. It displays the line's y-intercept and slope.
What is constant of proportionality?If the ratio of one statistic to the other is constant, then there is a proportional relationship between the two variables.
The ratio of y to x is the constant of proportionality if x and y have a proportional connection. At times, we can also say that x is to y.
The proportionality constant, or c, in the equation 1 over 2 x + y = c serves as a gauge for how quickly two variables change. The proportionality constant's value doesn't change when the value of one of the variables does.
A linear equation with two variables, x and y, is 1 over 2x + y = c. In the x-y plane, it symbolises a straight line.
If x = 0
Then,
1/2(0) + y = c
y = c
The proportionality constant, c, can be seen in the equation
1 over 2 x + y = c.
This number, which is unrelated to the actual values of the variables, shows the relationship between the two variables x and y.
The slope of the line connecting the two variables is another name for the constant of proportionality.
Two variables, x and y, are included in the equation 1 over 2 x + y = c in addition to the proportionality constant. The two quantities that
are being compared are represented by these variables.
In the equation 1 over 2 x + y=c, the proportionality constant is defined as c. It displays the line's y-intercept and slope.
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The Complete questions as follows-
Explain what the constant of proportionality means in the equation 1 over 2 x + y = c
7. The distance covered by a biker is denoted by 6x² - 13x - 15 and the time
is denoted by x-3. Find the speed at x = 9.
Answers
When x = 9, the distance covered by the biker is:
6x² - 13x - 15 = 6(9)² - 13(9) - 15 = 486 - 117 - 15 = 354
When x = 9, the time taken by the biker is:
x - 3 = 9 - 3 = 6
Therefore, the speed at x = 9 is:
Speed = Distance / Time = 354 / 6 = 59 km/h
The principal at Orchard Ridge High School signs each graduate's diploma by hand. It takes him 30 seconds to sign 4 diplomas. What do I put in the table
Answers
The complete values of the table for time taken to sign the diploma are: Seconds | 30 | 90 | 150 | 210; Diplomas | 4 | 12 | 20 | 28.
What is proportion?Two ratios are said to be equal when a proportion is stated. Ratios, which can be written as a fraction or a colon, are used to compare two objects or values. For instance, a class might have a boy to girl ratio of 2:3 or 2/3. A percentage is an equation proving the equality of two ratios. The formula is a/b = c/d, where a, b, c, and d are all numerical values or variables. Numerous branches of mathematics, science, and daily life, including banking, engineering, and cookery, require proportions.
Given that, it takes the principal 30 seconds to sign 4 diplomas.
Setting the proportion we have:
30 seconds / 4 diplomas = x seconds / y diplomas
x = 7.5y
Substituting the values of x and y from the table we have:
For y = 12
x = 7.5(2) = 90
Similarly, for y = 20:
x = 7.5(20) = 150
For x = 210:
210 = 7.5y
y = 28
The complete values of the table for time taken to sign the diploma are: Seconds | 30 | 90 | 150 | 210; Diplomas | 4 | 12 | 20 | 28.
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The complete question is:
What is 47/ 30 in mixed numbers I'm giving 10 points must hurry
Answers
Answer:
1 17/30.
Step-by-step explanation:
you can find this out by seeing how many 30s go into 47 which is 1.
Then subtract to find how much is leftover still over 30.
47 - 30 = 17
So 1 and 17/30
Let's get this party started!
Warm Up Time!
Graph a relationship in which the value of y is 5 less than half the value of x.
Select two points on the coordinate grid. A line will connect the points.
2
3
Step 1: Write the equation (Translate from
words to a number sentence)
Step 2: Graph using Slope Intercept Form
What is the Y-intercept? Plot this point first!
What is the slope? Use the slope to plot a 2nd point
Answers
The slope of the equation is 1/2 and the y-intercept is -5.
What is the slope?
The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).
Step 1:
The relationship between x and y can be expressed as:
y = (1/2)x - 5
This equation says that y is equal to half of x, with 5 subtracted from that value.
Step 2:
To graph this equation using the slope-intercept form (y = mx + b), we can identify the slope and y-intercept.
The slope of the equation is 1/2, which means that for every increase of 1 unit in x, y increases by 1/2 unit.
The y-intercept is -5, which is the point where the line crosses the y-axis.
To graph the equation, we can start by plotting the y-intercept, which is the point (0, -5).
Next, we can use the slope to find another point on the line. Since the slope is 1/2, we can move up 1 unit and right 2 units (since the slope is rise over run, or change in y over change in x). This gives us the point (2, -4).
We can now draw a line that connects these two points, which represents the relationship between x and y.
The two points are:
(0, -5)
(2, -4)
The graph of the equation is in the attached image.
Hence, The slope of the equation is 1/2 and the y-intercept is -5.
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Write Percent as a decimal 42.15%
Answers
Answer:
42.15 as a decimal is 0.4215 and you can multiply 0.4215 by a number to get 42.15 percent of that number.
Step-by-step explanation:
So the answer is 0.4215
Hope this helps! =D
Answer:0.4215
Step-by-step explanation:
42.15%÷100=0.4215
Find the area of the trapezoid 11 yd 11 yd 7 yd
Answers
Answer:
Step-by-step explanation:
A=1/2(b1+b2)h
=1/2 (11yd+11yd)(7yd)
=1/2(22yd)(7yd)
=(11yd)(7yd)
=77yd
Find the area of the circle with a circumference of
. Write your solution in terms of
.
Area in terms of
: ______
Answers
Answer:
circumference of a circle is
[tex]2\pi\:r[/tex]
And the area of the circle is
[tex]\pi \: r {}^{2} [/tex]
the tables show the cost of bagels at four different bakeries. choose two bakeries with the same unit cost.
Answers
Answer:The diagram shows the market demand and supply curves for the bread market. You know that there are 250 identical bakeries operating in the market
Step-by-step explanation:
Need help asap!!
Find the value of X
Answers
The answer is X + 5 = 10
X = 5
1. a^2 – 3a + 2
2. b^2 + 4b + 3
3. c^2 +6c + 5
4. x^2 +8x + 7
5. y^2 +10y + 9
6. r^2 +12r +11
7. m^2 + 5m +4
8. a^2 -8a + 7
9. x^2 -12x +11
10. x^2 + 11x +10
11. t^2 -18t + 72
12. r^2 -16r + 60
13. z^2 -20z + 100
14. y^2 + 4y -5
15. b^2 -2b -8
16. x^2 – 3x – 40
17. 2x^2 – 5x +2
18. 3x^2 + 10x + 3
19. 2x^2 + 11x + 5
20. 2x^2 + 7x + 6
Please Write Your Answer Below:
Answers
Answer:
1. (a-1)(a-2)
2. (b+1)(b+3)
3. (c+1)(c+5)
4. (x+1)(x+7)
5. (y+1)(y+9)
6. (r+1)(r+11)
7. (m+1)(m+4)
8. (a-1)(a-7)
9. (x-1)(x-11)
10. (x+1)(x+10)
11. (t-6)(t-12)
12. (r-6)(r-10)
13. (z-10)^2
14. (y+5)(y-1)
15. (b-4)(b+2)
16. (x-8)(x+5)
17. (2x-1)(x-2)
18. (3x+1)(x+3)
19. (2x+1)(x+5)
20. (2x+3)(x+2)
please bold the answers and show work aswell
Answers
The number of packs of peanut m&m's did they sell that day is 378 packs.
The distance traveled by the plane is 1,008 miles.
The time taken by the plane is 7.78 hours.
How many packs of peanut m&m's did they sell that day?Let
Number of peanut sold = x
Ratio of peanut to plain
7 : 10 = x : 540
7/10 = x/540
7 × 540 = x × 10
3,780 = 10x
divide both sides by 10
x = 3,780 / 10
x = 378
When t = 2.8 hours
d = 360t
d = 360(2.8)
d = 1,008 miles
Therefore, the time taken for the plane to fly 2800 miles is;
d = 360t
2800 = 360t
divide both sides by 360
t = 2,800/360
t = 7.78 hours
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What is 7months as a fraction of 2years 3months
Answers
Step-by-step explanation:
2 years and 3 months = 27 months ( there is 12 months in a year)
7 months of this would be THIS fraction:
7/27
5. A type of bacteria doubles in number every 25 minutes. Find the constant k
for this type of bacteria, then write the equation for modeling this exponential
growth.
Answers
To find the constant k for this type of bacteria, we can use the formula for exponential growth:
N(t) = N0 * e^(kt)
where N(t) is the number of bacteria at time t, N0 is the initial number of bacteria, e is Euler's number (approximately 2.71828), and k is the constant we're looking for.
We know that the bacteria doubles in number every 25 minutes, which means that after 25 minutes, the number of bacteria will be 2 times the initial number (N0). Therefore, we can write:
N(25) = 2 * N0
Substituting this into the formula, we get:
2 * N0 = N0 * e^(k*25)
Dividing both sides by N0 and simplifying, we get:
2 = e^(25k)
Taking the natural logarithm of both sides, we get:
ln(2) = 25k
Solving for k, we get:
k = ln(2)/25 ≈ 0.0278
Therefore, the equation for modeling the exponential growth of this type of bacteria is:
N(t) = N0 * e^(0.0278t)
*IG:whis.sama_ent
k = ln(2)/25
where ln(2) is the natural logarithm of 2.
To model the exponential growth of the bacteria population over time, we can use the equation:
N(t) = N0 * e^(kt)
where N(t) is the population size at time t, N0 is the initial population size, e is the mathematical constant approximately equal to 2.71828, k is the growth rate constant we just calculated, and t is the time elapsed.
So, if we start with an initial population of N0 bacteria, the population after time t can be calculated as:
N(t) = N0 * e^(kt)
I need help with this please
Answers
Answer:
thats 4th grade math... 0_0 but the answer is 414 ft².
Step-by-step explanation:
So you need to do 23x18 which equals 414. Listen to your teacher in class please kid. But you do you boo
Consider the line shown on the graph.
Enter the equation of the line in the form v = mx + b
where m is the slope and b is the y-intercept.
Answers
An equation of this line in slope-intercept form is equal to y = 2x + 7.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (7 + 1)/(0 + 4)
Slope (m) = 8/4
Slope (m) = 2
At data point (0, 7) and a slope of 2, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 7 = 2(x - 0)
y - 7 = 2x
y = 2x + 7
Read more on point-slope here: brainly.com/question/24907633
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