Answer:
31.4
Step-by-step explanation:
Diameter is 2r.
5 x 2 = 10
Use 3.14 for π.
10 x 3.14 = 31.4 yards
Use the shape below to answer the following questions. Note- the grid is 1 inch units. Round answers to the nearest 100th.
a) What is the area of the triangle?
b) What is the area of the trapezoid?
c) What is the area of the circular tires combined?
c) What is the area of the shape?
Answer:
D
Step-by-step explanation:
what is the area of the shape
Discuss 02 dissociation curve details.
The dissociation curve is a graphical representation of the relationship between the fractional saturation of hemoglobin (Y-axis) and the partial pressure of oxygen (X-axis) under specific conditions. It provides important information about the binding and release of oxygen by hemoglobin.
The dissociation curve for hemoglobin exhibits a sigmoidal (S-shaped) shape. At low partial pressures of oxygen, such as in tissues, hemoglobin has a low affinity for oxygen and only binds a small amount. As the partial pressure of oxygen increases, hemoglobin's affinity for oxygen increases, resulting in a rapid increase in the binding of oxygen molecules. However, once the hemoglobin becomes nearly saturated with oxygen, the curve levels off, indicating that further increases in partial pressure have minimal effects on oxygen binding.
To calculate the fractional saturation of hemoglobin at a given partial pressure of oxygen, you can use the Hill equation:
Y = [O2]^n / ([O2]^n + P50^n)
Where:
Y is the fractional saturation of hemoglobin,
[O2] is the partial pressure of oxygen,
P50 is the partial pressure of oxygen at which hemoglobin is 50% saturated,
n is the Hill coefficient, which represents the cooperativity of oxygen binding.
To determine the P50 value experimentally, the partial pressure of oxygen at which hemoglobin is 50% saturated, you can plot the dissociation curve and identify the point where the curve reaches 50% saturation.
To know more about dissociation curve, refer here:
https://brainly.com/question/30766002#
#SPJ11
Does anyone knows how to hide history on school Chromebook
Answer:
ctrl + H to go to history and delete the stuff there
or private browsing
ideally you use a vpn like Proton vpn AND use private browsing to hide history
If you help me u are the best ;)
Answer:
Area = (8 + 2x)² mi²
Step-by-step explanation:
Length of the side of a park = 8 mi
Width of the road around the park = x mi
Length of one side of the park with the road = (8 + 2x) mi
Area of the park with road = (side)²
= (8 + 2x)²
Therefore, combined area of the park and road is (8 + 2x)² square miles.
solve in 20 mins i will give thumb up
(b) Explain Faraday's Law and Lenz's Law with the help of diagrams and equations.
Faraday's Law states that a change in the magnetic field through a loop of wire induces an electromotive force (EMF) or voltage across the wire. Lenz's Law is a consequence of Faraday's Law and describes the direction of the induced current.
**Faraday's Law of Electromagnetic Induction:**
Faraday's Law states that a change in the magnetic field through a loop of wire induces an electromotive force (EMF) or voltage across the wire. This induced voltage is proportional to the rate of change of magnetic flux through the loop.
The equation representing Faraday's Law is given by:
EMF = -N dΦ/dt
Where:
- EMF represents the electromotive force or induced voltage across the wire.
- N is the number of turns in the wire loop.
- dΦ/dt represents the rate of change of magnetic flux through the loop with respect to time.
To understand this law better, let's consider a simple scenario. Suppose we have a wire loop placed within a changing magnetic field, as shown in the diagram below:
```
_______
/ \
| |
| |
| |
\_________/
```
The magnetic field lines are represented by the X's. When the magnetic field through the loop changes, the flux through the loop also changes. This change in flux induces a voltage across the wire, causing a current to flow if there is a closed conducting path.
**Lenz's Law:**
Lenz's Law is a consequence of Faraday's Law and describes the direction of the induced current. Lenz's Law states that the induced current always flows in a direction that opposes the change in magnetic field causing it.
Lenz's Law can be summarized using the following statement: "The induced current creates a magnetic field that opposes the change in the magnetic field producing it."
To illustrate Lenz's Law, let's consider the previous example where the magnetic field through the wire loop is changing. According to Lenz's Law, the induced current will create a magnetic field that opposes the change in the original magnetic field. This can be represented using the following diagram:
```
B ___________
<--- / \
| | |
| | Induced |
| | Current |
| | |
V \___________/
```
Here, the direction of the induced current creates a magnetic field (indicated by B) that opposes the original magnetic field (indicated by the arrow). This opposing magnetic field helps to "fight against" the change in the original magnetic field.
Lenz's Law is a consequence of the conservation of energy principle. When a change in magnetic field induces a current that opposes the change, work is done to maintain the magnetic field, and energy is dissipated as heat in the process.
To learn more about Induction
brainly.com/question/31244444
#SPJ11
a total of 123 fifth are going to fort verde state historic park each bus holds 38 students. all of the buses are full except 1 how many students will be on the bus that is not full
To determine the number of students that will be on the bus that is not full, we need to find the remainder when dividing the total number of students (123) by the number of students a bus can hold (38).
Dividing 123 by 38 gives us a quotient of 3 with a remainder of 9. This means that three buses will be completely filled with 38 students each, and there will be 9 students remaining.
Therefore, the bus that is not full will have 9 students on it.
#SPJ11
A sector has a radius of 12 centimeters and an angle of 65°. find its arc length.
Hi, there!
________
\(\textsc{key:}\)
. . . . . . . . . . . . .
The formula is
\(\longrightarrow\Large\boxed{A=\dfrac{r^2\theta}{2}}\)
. . . . . . . . . . . . . . .
Here
» A=Sector Area, or arc length
» r is the radius (it's squared‼)
» θ is the angle
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Now, we can substitute our parameters, and work out the answer.
\(\bf{A}\sf{=\dfrac{12^2\times65}{2}}\)
\(\bf{A}\sf{=\dfrac{144\times65}{2}}\)
\(\bf{A}=\sf{\dfrac{9360}{2}\)
\(\bf{A}=\sf{4,680 \ centimeters^2}\)
Hope the answer - and explanation - made sense,
happy studying!! \(\tiny \boldsymbol{Frozen \ melody}\)
Please answer the question in the pictures.
1. Alternate exterior angles
2. Vertical angles
3. Alternate interior angles
Hope that helped :)
Triangle mnp has vertices n(2, 2) and p(0, â€"2). the triangle is symmetric about the y-axis. what is the approximate measure of the largest angle in the triangle? 53.1° 60.0° 63.4° 83.6°
The approximate measure of the largest angle in the triangle is of:
θ = 63.4º.
How to obtain the measure of the largest angle?The vertices of the triangle are given as follows:
N(2,2) and P(0,-2).
The triangle is symmetric over the y-axis, hence the remaining vertex is given as follows:
M(-2,2).
The side lenghts of the triangle are given as follows:
MN = 4.MP = PN = 4.47.The height of the triangle is of:
4 units.
Hence the base angle is:
Adjacent to a side of length 2 units.Opposite to a side of length 2 units.The tangent is:
tan(θ) = opposite side/adjacent side
Hence:
tan(θ) = 4/2
tan(θ) = 2
θ = arctan(2)
θ = 63.4º.
The diagram given by the image at the end of the answer represents the situation.
More can be learned about the trigonometric measures at https://brainly.com/question/4372174
#SPJ1
. if these particular light bulbs have a mean lifetime of 2 months with a standard deviation of 0.25 months (per the manufacturer), determine the probability that this box of 40 lightbulbs will last for 5 years.
The probability that a box of 40 light bulbs will last for 5 years is very low, due to the short mean lifetime of 2 months and the relatively high standard deviation of 0.25 months.
The mean lifetime of a particular type of light bulb is given as 2 months, and the standard deviation is given as 0.25 months. The mean lifetime represents the average time that the light bulbs will last, while the standard deviation represents how much the lifetimes of the bulbs vary from the mean.
To determine the probability that a box of 40 light bulbs will last for 5 years, we need to convert the given information into a format that we can work with. 5 years is equal to 60 months, and since we have 40 light bulbs, we can assume that the lifetimes of the bulbs are independent and identically distributed. This means that the probability of one bulb lasting for 60 months is the same as the probability of any other bulb lasting for 60 months.
Next, we need to calculate the standard deviation of the sample mean. The standard deviation of the sample mean represents how much the means of different samples of size 40 would vary from the population mean. The formula for the standard deviation of the sample mean is given by the following equation:
standard deviation of the sample mean = standard deviation of the population / square root of the sample size
In this case, the standard deviation of the population is given as 0.25 months, and the sample size is 40. Therefore, the standard deviation of the sample mean is:
0.25 / sqrt(40) = 0.0395
Now that we have the mean lifetime and the standard deviation of the sample mean, we can use the normal distribution to determine the probability that a box of 40 light bulbs will last for 5 years. We can assume that the lifetimes of the bulbs follow a normal distribution with a mean of 2 months and a standard deviation of 0.0395 months (which is the standard deviation of the sample mean).
To find the probability that a bulb will last for 60 months, we can use the following equation:
z = (x - μ) / σ
where z is the standard score, x is the value we want to find the probability for (60 months in this case), μ is the mean, and σ is the standard deviation.
Plugging in the values, we get:
z = (60 - 2) / 0.0395 = 1509.49
To find the probability corresponding to this standard score, we can use a standard normal distribution table or a calculator. The probability is extremely small (close to zero), which means that it is highly unlikely that all 40 light bulbs will last for 5 years.
To know more about probability here.
https://brainly.com/question/11234923
#SPJ4
Can someone please help me ASAP? It’s due today!! I will give brainliest if it’s all correct.
Please do part a, b, and c
Answer:
Step-by-step explanation:
Inference means a statement according to the data. The chart is a survey on which subject is their favorite, not necessarily their performance but they want you to surmise things about performance.
A. Most of the students must do best in math because they favor math most.
B. Social studies was voted as one of least like subjects; they must get good grades in social studies.
C. Boys must do well in science.
This graph shows the relationship between numbers of cookies (c) sold and profit earned (p).
Enter an equation to represent the number of cookies sold and profit earned.
Based οn the infοrmatiοn prοvided, we can see that the prοfit earned (p) is prοpοrtiοnal tο the number οf cοοkies sοld (c).
We can write the equatiοn as:
p = 0.25c
This equatiοn means that fοr every cοοkie sοld, the prοfit earned is $0.25. We can alsο write this equatiοn in slοpe-intercept fοrm as:
y = mx + b
where y represents prοfit earned (p), x represents the number οf cοοkies sοld (c), m represents the slοpe (0.25 in this case), and b represents the y-intercept (the value οf y when x is 0, which is 0 in this case).
To learn more about slope-intercept ,visit:
https://brainly.com/question/22057368
#SPJ1
Below is the graph of =yx3.
Transform it to make it the graph of =y+3+x134.
Transforming the graph of y=x^3 into the graph of y+3=x^1/3+4 required us to shift the graph up by 3 units and to take the cube root of x and shift it to the right by 4 units. The resulting graph is a shifted and transformed version of the original graph that now passes through the point (4,3).
To transform the graph of y=x^3 into the graph of y+3=x^1/3+4, we need to apply a series of transformations.
First, we need to shift the graph up by 3 units. This can be done by adding 3 to the original equation, giving us y=x^3+3.
Next, we need to take the cube root of x and shift it to the right by 4 units. This can be done by replacing x with (x-4)^3. This transformation will cause the graph to shift 4 units to the right.
Combining these two transformations, we get the equation y+3=(x-4)^1/3+4, which is the transformed equation we need.
To graph this equation, we can use a table of values or a graphing calculator. A table of values might look something like this:
x | y+3
---------
0 | 4.00
1 | 4.77
2 | 5.43
3 | 6.00
4 | 6.52
5 | 7.00
Plotting these points and connecting them with a smooth curve will give us the graph of y+3=(x-4)^1/3+4.
To know more about graph visit :-
https://brainly.com/question/29129702
#SPJ11
find the formula for logistic growth using the given information. (use t as your variable. round your parameters to three decimal places.) the r value is 0.013 per year, the carrying capacity is 2392, and the initial population is 127.
Substituting the given values into the formula, we get logistic growth as
\(P(t) = 2392 / (1 + 18.748 * e^{(-0.013 * t)})\)
What is logistic growth?A pattern of population expansion known as logistic growth sees population growth begin slowly, pick up speed, then slow to a stop as resources run out. It can be shown as an S-shaped curve or a logistic function.
The formula for logistic growth can be expressed as:
\(P(t) = K / (1 + A * e^{(-r * t)})\)
where:
P(t) is the population at time t,
K is the carrying capacity,
A = (K - P₀) / P₀,
P₀ is the initial population,
r is the growth rate per unit of time, and
e is the base of the natural logarithm (approximately 2.71828).
Given the information you provided:
r = 0.013 (per year)
K = 2392
P₀ = 127
First, let's calculate the value of A:
A = (K - P₀) / P₀ = (2392 - 127) / 127 = 18.748
Now, substituting the given values into the formula, we get:
\(P(t) = 2392 / (1 + 18.748 * e^{(-0.013 * t)})\)
Remember to round the parameters to three decimal places when performing calculations.
Learn more about logistic growth on:
https://brainly.com/question/15631218
#SPJ4
d. the plant management believes that an increase in ambient temperature of 1 degree fahrenheit is associated with an increase in average monthly steam consumption of 10 thousand pounds. do the data support this statement? explain. (hint: perform a hypothesis test.)
Answer:
Step-by-step explanation:
d. the plant management believes that an increase in ambient temperature of 1 degree fahrenheit is associated with an increase in average monthly steam consumption of 10 thousand pounds. do the data support this statement? explain. (hint: perform a hypothesis test.)
Dante ran 2 miles at the track meet. One mile is 5,280 feet, and one meter is approximately 3.28 feet. About how many meters did Dante run?
Ben and Mack stopped at a restaurant to eat. Ben purchased 2 hot dogs and 2 drinks for $4.75. Mack purchased 3 hot dogs and 1 drink for
$7.75. Which system of equations can be used to determine the price of each hot dog, x, and each drink, y?
A. 2x + 2y = 4.75
3x + y = 7.75
OB. 2x + 2y = 7.75
3x + y = 4.75
OC. X + 2y = 7.75
2x + 3y = 4.75
D. x + 2y = 4.75
2x + 3y = 7.75
Answer:
A is the answer
Step-by-step explanation:
Let x equal hotdogs and y equal drinks
2 hotdogs plus 2 drinks = 4.75
3 hotdogs plus 1 drink = 7.75
The perimeter of a rectangle is 61 centimeters. The length is 4.1 centimeters longer than the width, w. Which equation can be used to find the width of this rectangle?
Answer:
P=2(length+width)
the length is 4.1 cm more than the width: l=4.1+w
61=(2(4.1+w+w))
61=8.2+2w+2w
61-8.2=4w
4w=52.8
w=13.2
Answer:
14 46\14
Step-by-step explanation:
p=L+W
p=61
L=4.1
W=?
61=4.1+W
61=4.1W
61\4.1=4.1\4.1
=14 46\14
Please explain why "10" is considered a polynomial but
1/4 is not.
Answer:
Neither are polynomials because polynomials have more than 2 terms
Step-by-step explanation:
Answer: 10 is a polynomial because the power of x is 0, which is a whole number.
Step-by-step explanation: Sorry that's all I got. I hoped that helped you find why 1/4 is not a polynomial.
need help with this question... ASAP
Answer: C
Step-by-step explanation:
The negative is affecting the whole equation, so it is flipped over y. The 2 is also affecting the whole equation, so it is vertically compressed.
What is the exact value of tan (startfraction 19 pi over 12 endfraction)? negative 2 minus startroot 3 endroot negative 2 + startroot 3 endroot 1 minus startroot 3 endroot 1 + startroot 3 endroot.
The exact value of tan (startfraction 19 pi over 12 endfraction) is negative 2 minus startroot 3 endroot
To calculate the exact value of tangent, firstly writing the mentioned information in equation form -
Value = tan 19π/12
Factorising the tangent
Value = tan (4π + 15π)/12
Rewriting in simplified form
Value = tan (π/3 + 5π/4)
Rewriting the equation as per tangent angle
Value = tan (π/3) + tan (5π/4) ÷ 1 - tan (π/3) tan (5π/4)
Keep the value of each angle
Value = (1 + ✓3 ) ÷ (1 - ✓3)
Performing multiplication with conjugate of denominator
Value = (✓3 + 1) ÷ (1 - ✓3) × (1 + ✓3) ÷ (1 + ✓3)
Value = (1 + 2✓3 + 3)/-2
Value = (4 + 2✓3)/-2
Performing division by ✓2
Value = -2 -✓3
Hence, the value is -2-✓3.
Learn more about tangent -
https://brainly.com/question/26403186
#SPJ4
Answer:
-2-sqrt3
Step-by-step explanation:
(Build your own model for this problem.) Kate’s Cakes is a boutique cake shop in AJ’s Fine Foods supermarket. Her cake supplier has agreed to deliver a fixed number of cakes every day for a week at $10 for each cake. At the end of the week, Kate may change her order for the following week. Kate has kept close track of daily cake demand. The number of cakes sold per day stays about the same over time on average but varies from day to day as shown in the table of value below:
Daily Demand: 1 2 3 4 5 6
Probability: .1 .2 .25 .25 .15 .05
Kate does not believe that being out of stock on a given day influences demand on future days; in particular, she believes that the demand distribution described above will hold on every day, seven days a week (Kate is open every day).
Kate’s initial inventory of cakes is zero. She always keeps any unsold cakes and tries selling them, at full price of $18, on the second or subsequent days. Since Kate is going on vacation in two weeks’ time (she will operate her boutique this coming week, for which she is now making the order, and she will operate her boutique the next week), any cakes left at that time (at the end of week 2) will be donated to charity.
Kate has retained you as a consultant to aid her in addressing the decision of how many cakes per day to order for this week. She would like to take the uncertainty of daily demand into account but she isn’t sure how to do that. She doesn’t feel that just averaging daily demand and ordering that amount is good enough (though it may be) and her upcoming vacation and desire to minimize the number of cakes that get donated has prompted her to call in a consultant. How many cakes per day should Kate order for this week?
Considerations
Remember that determining the best number to order this week should take into consideration what Kate is planning to do next week. Or vice versa.
a. How many cakes per day should Kate order for this week?
b. Make the number of cakes next week dependent on the number of left-overs at the end of this week. Does that change your estimate of how many should be ordered this week?
c. Left-over cakes can’t be sold later – they are just dumped at the end of the day. Does this change the number you want to order for this week?
d. Day-old cakes sell for $12 and two-day-old cakes are donated.
To determine how many cakes per day Kate should order for this week, we can calculate the expected profit for each possible daily order quantity and choose the one that maximizes profit.
(a) Here are the steps:
1. Calculate the profit for each possible demand, considering the cost of cakes ($10) and the selling price ($18).
2. Multiply the profit by the probability of each demand level.
3. Sum up the expected profits for all demand levels. Doing these calculations for all possible order quantities (1 to 6 cakes), we find that ordering 4 cakes per day maximizes the expected profit for this week.
(b) If the number of cakes next week depends on the number of leftovers at the end of this week, it will not change the estimate for this week. The reason is that we are still maximizing expected profit for this week, and any leftover cakes can be incorporated into next week's order.
(c) If leftover cakes can't be sold later and are dumped at the end of the day, we need to adjust the profit calculations. We still want to maximize the expected profit, but now we have to subtract the cost of unsold cakes. When we redo the calculations with this new information, the optimal order quantity might change, depending on the probabilities and profit margins.
(d) If day-old cakes sell for $12 and two-day-old cakes are donated, we need to adjust our profit calculations again. In this case, we have different selling prices for fresh cakes ($18), day-old cakes ($12), and two-day-old cakes ($0). Using these new prices, we can recalculate the expected profit for each order quantity and choose the one that maximizes the profit.
Learn more about profit here, https://brainly.com/question/19104371
#SPJ11
a. Kate should order 4 cakes per week taking into consideration the uncertainty of demands.
b. The best strategy is still to order 4 cakes per day for this week and adjust the order for next week based on the leftovers.
c. Kate should order 3 cakes per day for this week to minimize waste.
d. the profit margins change if, day-old cakes sell for $12 and two-day-old cakes are donated.
a. To determine how many cakes per day Kate should order for this week, we need to estimate the number that maximizes her profit while minimizing the risk of having leftover cakes.
We can do this by calculating the expected profit for each possible order quantity and selecting the one that gives the highest profit.
We can calculate the number of cakes by following the steps
1. Multiply the daily demand by its probability, then sum these products to get the expected daily demand:
(1 * .1) + (2 * .2) + (3 * .25) + (4 * .25) + (5 * .15) + (6 * .05) = 3.4 cakes
2. Test different order quantities (from 1 to 6) and calculate the expected profit for each quantity.
3. Select the order quantity with the highest expected profit.
For this problem, Kate should order 4 cakes per day for this week.
b. If the number of cakes next week depends on the number of leftovers at the end of this week, the best strategy is still to order 4 cakes per day for this week and adjust the order for next week based on the leftovers.
c. If leftover cakes can't be sold later and are just dumped at the end of the day, we would want to minimize the risk of leftovers. In this case, Kate should order 3 cakes per day for this week to minimize waste while still maintaining a good probability of selling most of the cakes.
d. If day-old cakes sell for $12 and two-day-old cakes are donated, the profit margins change, and the expected profit calculation should be updated accordingly.
After recalculating, Kate should still order 4 cakes per day for this week, as the order quantity provides the highest expected profit with this new pricing structure.
Learn more about expected profit calculation : https://brainly.com/question/28851824
#SPJ11
Please help me !! would appreciate
The answers that describe the quadrilateral DEFG area rectangle and parallelogram.
The correct answer choice is option A and B.
What is a quadrilateral?A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.
Quadrilateral DEFG
if line DE || FG,
line EF // GD,
DF = EG and
diagonals DF and EG are perpendicular,
then, the quadrilateral is a parallelogram
Hence, the quadrilateral DEFG is a rectangle and parallelogram.
Read more on quadrilaterals:
https://brainly.com/question/23935806
#SPJ1
A rectangular piece of plywood 4 ft by 5.5 ft is cut from one corner to the opposite corner. What are the angles between the edges of the resulting pieces
The angles between the edges of the resulting pieces are approximately \($56.1^\circ$ and $42.5^\circ$.\)
We know that the rectangle has sides of length 4 ft and 5.5 ft, so we can use the Pythagorean Theorem to find the length of the diagonal \($BD$\):
\($$ BD^2 = 4^2 + 5.5^2 $$\)
\($$ BD^2 = 16 + 30.25 $$\)
\($$ BD^2 = 46.25 $$\)
\($$ BD = \sqrt{46.25} $$\)
\($$ BD = 6.8 \text{ ft (rounded to one decimal place)} $$\)
Now, we can use the Law of Cosines to find the angle between sides \($AB$\)and \($AD$\) in triangle \($ABD$\):
\($$ \cos(A) = \frac{BD^2 + AB^2 - AD^2}{2 \cdot BD \cdot AB} $$\)
\($$ \cos(A) = \frac{6.8^2 + 4^2 - 5.5^2}{2 \cdot 6.8 \cdot 4} $$\)
\($$ \cos(A) = 0.5471 $$\)
\($$ A = \cos^{-1}(0.5471) $$\)
\($$ A = 56.1^\circ \text{ (rounded to one decimal place)} $$\)
Similarly, we can use the Law of Cosines to find the angle between sides \($BC$\) and \($CD$\) in triangle:
\($$ \cos(B) = \frac{BD^2 + BC^2 - CD^2}{2 \cdot BD \cdot BC} $$\)
\($$ \cos(B) = \frac{6.8^2 + 5.5^2 - 4^2}{2 \cdot 6.8 \cdot 5.5} $$\)
\($$ \cos(B) = 0.7416 $$\)
\($$ B = \cos^{-1}(0.7416) $$\)
\($$ B = 42.5^\circ \text{ (rounded to one decimal place)} $$\)
Therefore, the angles between the edges of the resulting pieces are approximately \($56.1^\circ$ and $42.5^\circ$.\)
To learn more about Angles refer here:
https://brainly.com/question/7116550
#SPJ11
Please help!!! The function ht describes the height in feet of an object at time t in seconds when it is launched upward from the ground at an i risk speed of 112 feet oder second find the domain what does the domain mean in this context
Step-by-step explanation:
the domain of a function is always the interval or set of all valid input values (usually x, but here t).
the range is the interval or set of all valid result values (usually y or f(x), here h(t)).
as the graph shows, the function works only for values of t starting at 0 (at 0 seconds the object has 0 ft height, it is still on the ground and about to launch).
and it ends at t = 7.
obviously the object hits the ground after 7 seconds again after coming back down. so, the height function does not make any sense for values of t after that.
so, again, the domain is
0 <= t <= 7
4/5 as an equivalent fraction in 3 different forms.
Answer:
Equivalent fraction of ⅘:
\( \frac{4}{5} = \frac{8}{10} = \frac{12}{15} = \frac{16}{20} \)
Find the mean, median, mode, and range of the following list.
35, 16, 28, 4, 62, 15, 48, 22, 16, 28
Mean
Median
Mode
Range
To find the mean, we add up all the numbers in the list and divide by the total number of numbers:Mean = (35 + 16 + 28 + 4 + 62 + 15 + 48 + 22 + 16 + 28) / 10 = 27.4To find the median, we first need to put the numbers in order:4, 15, 16, 16, 22, 28, 28, 35, 48, 62The median is the middle number. In this case, there are 10 numbers, so the middle two are 22 and 28. The median is the average of these two numbers:Median = (22 + 28) / 2 = 25To find the mode, we look for the number that appears most often. In this case, both 16 and 28 appear twice, while all the other numbers appear only once. So the mode is 16 and 28.Mode = 16, 28To find the range, we subtract the smallest number from the largest number:Range = 62 - 4 = 58Therefore, the mean is 27.4, the median is 25, the mode is 16 and 28, and the range is 58.
Answer: the mean is 25.4, the median is 25, the mode is 16 and 28, and the range is 58.
Step-by-step explanation:
To find the mean, we add up all the values and divide by the total number of values:
Mean = (35 + 16 + 28 + 4 + 62 + 15 + 48 + 22 + 16 + 28) / 10
Mean = 254 / 10
Mean = 25.4
So the mean is 25.4.
To find the median, we need to first put the list in numerical order:
4, 15, 16, 16, 22, 28, 28, 35, 48, 62
The median is the middle number in the list, so in this case it is 25, which is between the 5th and 6th numbers in the list.
So the median is 25.
To find the mode, we need to find the number that appears most frequently in the list. In this case, the numbers 16 and 28 each appear twice, which is more than any other number, so both 16 and 28 are modes of the list.
So the mode is 16 and 28.
To find the range, we subtract the smallest value from the largest value:
Range = 62 - 4
Range = 58
So the range is 58.
Therefore, the mean is 25.4, the median is 25, the mode is 16 and 28, and the range is 58.
if
f(x)=4x2−3x+7 , what is f(−2) ?
Answer:
D. 29 I just know the awnser sorry
To find the value of f(−2), we substitute −2 for x in the function f(x):
f(−2) = 4(-2)^2 − 3(-2) + 7
= 4(4) − 3(2) + 7
= 16 − 6 + 7
= 11
Therefore, f(−2) = 11.
What is the midpoint of the segment whose endpoints are (-4, 2) and (2,-2)?
Answer:
(-1,0)
Step-by-step explanation:
Midpoint formula: (coordinate 1 + coordinate 2)/2
(-4+2)/2 = -1
(-2+2)/2 = 0 0 divided by anything =0
approximate each irrational number to the nearest hundreth √32
Answer:
5.66
Step-by-step explanation:
sqrt(32) = sqrt(16 * 2) = 4 * sqrt(2) = 5.66