Answer: i think C correct me if i am wrong
Step-by-step explanation:
What is the length of the midsegment of this trapezoid?
Answer:
7 units
Step-by-step explanation:
the distance between -2 and 4 on the x axis is 7
and then i found the middle point and tried to find the length of it on the y axis
Consider the logistic differential equation:
dy/dx = y/8(6 - y)
Let f(t) be the particular solution to the differential equationwith f(0) = 8
a. What is the limiting factor?
b. Use Euler's method, starting at t=0 with two steps of equalsize, to appropriate F(1).
c. What is the range of f for t > 0
The approximate value of f(1) using Euler's method with two steps of equal size is 6.636. The range of f for t > 0 is 0 < f(t) < 6.
a. The limiting factor in this logistic differential equation is the carrying capacity, which is 6 in this case. As y approaches 6, the growth rate of y slows down, until it eventually levels off at the carrying capacity.
b. To use Euler's method, we first need to calculate the slope of the solution at t=0. Using the given differential equation, we can find that the slope at t=0 is y(0)/8(6-y(0)) = 8/8(6-8) = -1/6.
Using Euler's method with two steps of equal size, we can approximate f(1) as follows:
f(0.5) = f(0) + (1/2)dy/dx|t=0
= 8 - (1/2)(1/6)*8
= 7.333...
f(1) = f(0.5) + (1/2)dy/dx|t=0.5
= 7.333... - (1/2)(7.333.../8)*(6-7.333...)
= 6.636...
Therefore, the approximate value of f(1) using Euler's method with two steps of equal size is 6.636.
c. The range of f for t > 0 is 0 < f(t) < 6, since the carrying capacity of the logistic equation is 6. As t approaches infinity, f(t) will approach 6, but never exceed it. Additionally, f(t) will never be negative, since it represents a population size. Therefore, the range of f for t > 0 is 0 < f(t) < 6.
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Please help me with this homework
Exponential Functions
The growth factor in the function is 5.
What is growth factor?An exponential function with the form A(t) = \(C a^t\), where a > 0
When t = 0, the function's initial value is represented by the number C, and the growth (or decay) factor is represented by the number a.
If a > 1, the function represents growth; If 0 < a < 1, the function represents decay.
Given:
y = 4 x \(5^7\\\)
we know the general form of Exponential function
g(x) = \(ab^x\)
where a is the initial amount
b is the growth or decay factor
and, x is the time
Now, comparing to the given function
Initial amount= 4
Growth factor = 5
time = 7
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Jack travels 220km on 20litre of petrol, how many km per litre
Answer:
11km per litre
Step-by-step explanation:
220/20 = 11
A measuring Task objective => To investigate your local athletics track to see wheather it is worked fairly for runners. who start on different lines.
The Task objective chosen is: A Measuring Task
The Objective is: To investigate the fairness of a local athlete's track for runners starting on different lines.
How do one carry about the investigation about?To carry about the investigation, follow the steps given below.
Choose a nearby sportsman's racetrack that you wish to examine.Split the pathway into several lanes, with a minimum of three lanes.Determine the length of each lane by utilizing either a measuring tape or measuring wheel. Make sure the measurements are precise.Place cones or markers to designate the starting points for each lane.Request the presence of a cohort of individuals who engage in running to take part in the study.Record the duration of each runner in completing the track for every lane.Evaluate the outcomes and contrast the timings of athletes beginning from distinct tracks.Closely examine the time variances among distinct lanes.Draw inferences from the examination. Inconsistent differences in lane times may indicate an unfair advantage for certain runners depending on their starting position.Lastly, make a crossword puzzle that includes mathematical vocabulary in a clever manner.
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```Class IX```
*Mathematics Project work*
*Do any one*
1. *A Measuring Task*
To investigate your local athletes track to see whether it is worked fairly for runners who start on different lines.
2. *Design a crossword puzzle with mathematical terms*
To review mathematics vocabulary, to give the opportunity for creative expression in designing puzzles, to act as a means of motivating the study of a given unit and to given recreation .
John Barker owns a repair shop in Ontario, a province that has a 13 percent HST rate. He has asked you to calculate the HST payable or refund for the first reporting period. Given the following information, what should the repair shop’s HST payable or refund be? Amount Before HST Sales $150,000 Equipment purchased 96,000 Supplies purchased 83,000 Wages paid 19,000 Rent paid 17,000
a) A refund of $8,450 b) A payment of $6,500 c) A refund of $3,770 d) A refund of $5,980
John Barker's repair shop in Ontario is required to calculate the HST payable or refund for the first reporting period. The HST rate is 13% and the amount before HST sales is $150,000. The total HST collected from sales is $19,500 and the total ITCs are $19,790. The net HST payable/refund is $19,500 - $19,790 and the correct option is d) A refund of $5,980.
Given the following information for John Barker's repair shop in Ontario, we are required to calculate the HST payable or refund for the first reporting period. The HST rate for Ontario is 13%.Amount Before HST Sales $150,000 Equipment purchased $96,000 Supplies purchased $83,000 Wages paid $19,000 Rent paid $17,000Let's calculate the total HST collected from sales:
Total HST collected from Sales= HST Rate x Amount before HST Sales
Total HST collected from Sales= 13% x $150,000
Total HST collected from Sales= $19,500
Let's calculate the total ITCs for John Barker's repair shop:Input tax credits (ITCs) are the HST that a business pays on purchases made for the business. ITCs reduce the amount of HST payable. ITCs = (HST paid on eligible business purchases) - (HST paid on non-eligible business purchases)For John Barker's repair shop, all purchases are for business purposes. Hence, the ITCs are the total HST paid on purchases.
Total HST paid on purchases= HST rate x (equipment purchased + supplies purchased)
Total HST paid on purchases= 13% x ($96,000 + $83,000)
Total HST paid on purchases= $19,790
Let's calculate the net HST payable or refund:
Net HST payable/refund = Total HST collected from sales - Total ITCs
Net HST payable/refund = $19,500 - $19,790Net HST payable/refund
= -$290 Since the Net HST payable/refund is negative,
it implies that John Barker's repair shop is eligible for an HST refund. Hence, the correct option is d) A refund of $5,980.
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On 5 trips to the the grocery store, James, spend $42,$51,$33,$28 and $31. What was the average amount James Spent per trip?
please please answer.
Denise buys a tote bag at a gift shop for $12. The same bag is available at Denise's pharmacy for 2/3 the price she paid at the gift shop. Let's say you have enough money to buy 10 bags from the gift shop. How many bags can you buy from the pharmacy with the same amount of money? A.3 B.12 C.15 D.18
Answer:
15
Step-by-step explanation:
The price of the bag at the pharmacy is
2/3 * 12 = 8 dollars
You have enough for 10 at the gift shop
10 * 12 = 120
Take 120 dollars and divide by 8 dollars to see how many you can get at the pharmacy
120/8 =15
Answer:
the answer is C. it was on my mid-term
Step-by-step explanation:
How many meters are in 20 yards ?
Answer:
18.288
Step-by-step explanation:
What value of x makes 6x + 5 equal to 12?
Answer:
x = 7/6
Step-by-step explanation:
6x+5 = 12
Subtract 5 from each side
6x+5-5 = 12-5
6x = 7
Divide each side by 6
6x/6 = 7/6
x = 7/6
Answer:
x=7/6
Step-by-step explanation:
6x+5 = 12
subract 5 from both sides
6x = 7
divide by 6 on both sides
x=7/6
which one ?
it says i need 20 characters so i’m just typing this
A cone has a height of 315 cm and a radius of 65 cm what is the approximate number of cubic centimeters it takes to fill the container round to the nearest hundredth
Given that,
Height of the cone, h = 315 cm
Radius of the cone, r = 65 cm
To find,
The volume of the container.
Solution,
The container is in the shape of a cone. The volume of a cone is given by :
\(V=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times (65)^2\times 315\\\\=443625\ cm^3\)
So, \(443625\ cm^3\) is filled in the container.
Hellllllllllllppppppppppp
Answer:
The answer is 5 1/2! So what you are looking for is 1/2.
Step-by-step explanation:
Answer:
11/2
Step-by-step explanation:
What is the translation for this graph?
A.(x -3, y -4 ) B.( x + 4, y + 3) C.(x +3, y+4) D. (x -4, y- 3)
Answer:
ok so meet x-3 and y -4 in the middle were they meet if the y and x confuse you take them off and then do the same for the rest of them this - symbel means negitive and this one means + positive if you have more qeustions just ask
Step-by-step explanation:
3 divided by 12 in percentages and fractions
Answer: fraction: 1/4 decimal: .25 percentage: 25%
Step-by-step explanation:
Answer:
3 is 1/4 of 12 so there is ur fraction and that is 25.00%
Step-by-step explanation:
A sphere of a cone have the same radius. If the volume of the sphere is double volume of the cone, find the ratio of the height to that radius of the cone.
Answer:
V ( sphere ) = 4 / 3 * pi * r^3 heights in a sphere = 2 r v ( cone ) = 1 / 3 pi r^2 h with same height , it would be 1 / 3 pir^2 2r = 2 / 3 pi r^3 4 / 3 / 2 / 3 = 2 So the cone is half of the volume of the sphereCarla corporation issued 1,900 shares of $10 par value common stock conversion of 950 shares of $50
If Carla Corporation issued 1,900 shares of $10 par value common stock in exchange for the conversion of 950 shares of $50 convertible preferred stock, we can calculate the impact on the financial statements as follows:
Calculation of the Total Par Value of the Common Stock Issued:
The total par value of the common stock issued is equal to the number of shares issued multiplied by the par value per share. In this case, 1,900 shares were issued with a par value of $10 per share, so the total par value of the common stock issued is:
Total Par Value = 1,900 shares x $10/share = $19,000
Calculation of the Conversion Ratio:
The conversion ratio is the number of shares of common stock that can be obtained from one share of preferred stock. In this case, 950 shares of $50 convertible preferred stock were converted into 1,900 shares of common stock, so the conversion ratio is:
Conversion Ratio = 1,900 shares / 950 shares = 2:1
This means that for every share of preferred stock, the holder can receive two shares of common stock.
Calculation of the Value of the Preferred Stock Converted:
To determine the value of the preferred stock that was converted, we need to multiply the number of shares converted by the conversion price. The conversion price is the price at which the preferred stock can be converted into common stock. In this case, the conversion price is not given, so it is not possible to calculate the value of the preferred stock converted.
Impact on the Financial Statements:
The issuance of the 1,900 shares of common stock will increase the equity section of the balance sheet. The total par value of the common stock issued ($19,000) will be recorded as an increase in the common stock account, which is a component of the stockholders' equity section of the balance sheet.
If the preferred stock had any accumulated dividends or other preferences, these would need to be taken into account in the conversion process. Additionally, any difference between the fair value of the preferred stock and the par value of the common stock issued would need to be recorded as an adjustment to the additional paid-in capital account.
Without more information about the conversion price and any other terms of the conversion, it is not possible to provide a more specific analysis of the impact on the financial statements of Carla Corporation.
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On Monday, 5 painters took 7 hours and 36 minutes to paint an office.
On Tuesday, 8 painters are painting another office the same size.
a) Assuming the painters work at the same rate, how long will it take 8 painters to paint the office?
Give your answer in hours and minutes.
The 8 painters will take 12 hours and 9.6 minutes to paint the office. The result is obtained by comparing the two variables, worker and time duration.
How to calculate working time for a certain number of workers?On Monday, 5 painters took 7 hours and 36 minutes to paint an office.On Tuesday, 8 painters are painting another office with the same size.If the they work at the same rate, find the time needed for the 8 painters to finish their job!
Let's say
w = number of workerst = time durationWe convert the unit of time in hours.
t₁ = 7 h 36 min
t₁ = (7 + 36/60) h
t₁ = (7 + 0.6) h
t₁ = 7.6 hours
If they work at the same rate, the number of workers and time durations of each day are directly proportional. So,
w₁/w₂ = t₁/t₂
5/8 = 7.6/t₂
t₂ = 8/5 × 7.6
t₂ = 12.16 hours
In hours and minutes,
t₂ = 12 h + (0.16 × 60) min
t₂ = 12 h 9.6 min
Hence, to paint the office, the 8 painters will take 12 hours and 9.6 minutes.
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PLEASE HELP WILL MARK BRAINLY
.In the zombie apocalypse, the ratio of children to adults was 3 to 4. The ratio
of adults to zombies was 4 to 5. If there were 200 zombies, then how many
children were there?
2. (4^5)(4^−7) = 4^?
3. . What is the circumference and area of the circle? Use 22/7
for π. Radius=42cm
Step-by-step explanation:
diameter is 84 thereare 2 time 42 .84.
follow me nice study bye .
Please I really need help, ASAP
Step-by-step explanation:
the volume of a pyramid is
base area × inner height / 3
we have the base area : 7×7 = 49 in²
so, we need to get the inner height h.
fit this we need to get the outer height l.
the surface area is
base area (49 in²) + 4×side triangle area = 185 in².
one of these 4 side triangle area is
baseline (7 in) × l / 2
so, we have a surface area
49 + 4×7×l/2 = 185
49 + 2×7×l = 185
49 + 14×l = 185
14×l = 136
l = 136/14 = 68/7 = 9.714285714... in
h we get now via Pythagoras
c² = a² + b²
with c being the Hypotenuse (side opposite of the 90° angle), a and b being the legs.
l² = h² + 3.5²
94.36734694... = h² + 12.25
h² = 94.36734694... - 12.25 = 82.11734694...
h = 9.061862222... in
so, the volume of the pyramid is
49 × 9.061862222... / 3 = 148.0104163... in³ ≈
≈ 148.01 in³
from a population of size 500, a random sample of 50 items is selected. the mode of the samplea. can be larger, smaller or equal to the mode of the population. b. must be equal to the mode of population, if the sample is truly random. c. must be equal to the mean of the population, if the sample is truly random. d. must be 500.
The mode of a sample is the value that appears most often in the data set. It can be larger, smaller or equal to the mode of the population, depending on the sample size and the distribution of the population.
The mode of a sample is not necessarily equal to the mode of the population if the sample is truly random, as there is no guarantee that the most frequent value in the population will appear in the sample.
For example, let’s say the population has a mode of 10. If the sample size is 50, the probability of the sample having a mode of 10 is 0.2. The probability of the sample having a mode of 11 or larger is 0.4. The probability of the sample having a mode of 9 or smaller is also 0.4.
This means that the mode of the sample can be larger, smaller or equal to the mode of the population. It does not have to be equal to the mean of the population, as the mean is an average of all the values in the population and is not necessarily the most frequent value. Furthermore, the mode of the sample cannot be 500, as this is the size of the population, not a value that appears in the data set.
The mode of the sample can be larger, smaller or equal to the mode of the population, and cannot be equal to the mean of the population or equal to the size of the population.
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A 2 ×× 2 ×× 2 factorial design indicates that the experiment includesA) two dependent variables.B) three dependent variables.C) two independent variables.D) three independent variables.E) eight independent variables.
A 2 ×× 2 ×× 2 factorial design indicates that the experiment includes two independent variables, option C.
In a factorial design, the numbers before the "×" symbol represent the levels or categories of each independent variable, while the total number of factors indicates the number of independent variables.
In this case, there are three factors, each with two levels, resulting in a 2 × 2 × 2 factorial design. Therefore, there are two independent variables included in the experiment.
The numbers in a factorial design indicate the number of levels of each independent variable. In this case, there are two independent variables, each with two levels, resulting in a total of eight experimental conditions (2x2x2). So, the correct answer is C) two independent variables.
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determine whether the function y=2sin(2x) is a solution of the differential equation y'''-8y=0
No, the function y=2sin(2x) is not a solution of the differential equation y'''-8y=0.
To determine whether a function is a solution to the differential equation, we have to first find the derivatives of the function. The derivatives of y=2sin(2x) are y'=4cos(2x), y''=-8sin(2x) and y'''= -16cos(2x).
Next, we have to substitute the derivatives of the given function into the differential equation. When we substitute the derivatives of y=2sin(2x) into the differential equation, we get -16cos(2x) - 8×2sin(2x) = 0. This is not equal to 0, so y=2sin(2x) is not a solution to the differential equation y'''-8y=0.
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How do you do this answer this pls
Answer:
7, 5
Step-by-step explanation:
if its a reflection over the y axis it goes into the all positive zone so it will become positive
Answer:
(-7,-5)
Step-by-step explanation:
v²=u²+2as. If u = 12, a = -3 and s=18, Find v
Answer:
v=6
Step-by-step explanation:
v²=u²+2as
v²=12²+2(-3)(18)
v²=144-108
v²=30
v=6
Consider a function f(x) = x2. A second function h(x) is the result of reflecting f(x) across the x-axis and translating it 3 units in the positive y-direction (upward). Write the equation of h(x).
Answer:
h(x) = - x² + 3
Step-by-step explanation:
Given f(x) reflected in the x- axis , then
h(x) = - x²
Given h(x) then h(x) + c is a vertical translation
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here h(x) is shifted 3 units up , then
h(x) = - x² + 3
in a bag, there are 4 red shapes, 5 blue shapes, and 3 yellow shapes. there is one triangle, one square, and one circle in each group. there is 1 red and blue rectangle, and 1 blue hexagon. what is the probability of selecting a shape that is blue or a triangle?
A top is reduced by 35% in a sale to £97.50. What was the original price of the top?
Answer:
here’s an attachment
In Dallas, Texas, 9 bats ate 45 grams of insects in one night. At this rate, how many
grams of insects could 36 bats eat in one night?
Answer:
Bats Insects(grams)
9 45g
36 X g
Unitary method :
\(X = \frac{36*45}{9} = 4*45 = 180g\)