The wind chill factor on a certain planet is given by the following formula, where v is the wind speed (in meters per second) and tis the air temperature (∘C ). Complete parts (a) through (c).
W = {t, 0 ≤ v < 1.77
{32 - (10.45 + 10√v −v)(32−t) / 22.04, 1.77≤v≤20
{32 - 1.5957(32-t), v>20

Find the wind chill for an air temperature of 5∘C and a wind speed of 0.5 m/sec. W≈____∘C (Round to the nearest degree as needed.)
Find the wind chill for an air temperature of 5∘C and a wind speed of 17 m/sec. W≈____∘C (Round to the nearest degree as needed.)

Answer:

-3,1

The first option is correct.

Step-by-step explanation:

Have a great day!

Answer:

The second choice.

Step-by-step explanation:

Correspond sides are in the same ratio

12/4 =  x/8

.

Denote by x the number of cones sold or produced.

Denote by C(x) the total cost.

Denote by R(x) the revenue made.

Denote by P(x) the net profit accumulated.

\(C_{T}(x)=C_{fixed}+C_{variable} \: \\ C_{T}(x)=36+0.52x\)

\(R_{T}(x)=selling \: price \: x \\ R_{T}(x)=1.4x\)

\(P(x)=R_{T}(x)-C_{T}(x) \\ P(x)=1.4x-(36 + 0.52x) \\ P(x)=1.4x - 36 - 0.52x \\ P(x)=0.88x - 36\)

If there exists profit, then P(x) has to be positive.

\(P(x) > 0 \\ 0.88x - 36 > 0 \\ 0.88x > 36 \\ x > \frac{36}{0.88} \\ x > 40.90909 \\ x = 41\)

The horizontal velocity with which the ball should be imparted to land on the rooftop of the second building is approximately 4.42 meters/second.

To find the horizontal velocity with which the ball should be imparted to land on the rooftop of the second building, we can use the fact that the horizontal distance travelled is 20 meters.

We know that horizontal distance (x) equals horizontal velocity (\(v_x\)) multiplied by time (t).

Since the horizontal distance is 20 meters, we have:

\(20 = v_x * t\)

We need to find the value of \(v_x\).

We also know that the time it takes for the ball to reach the rooftop of the second tower is t, which we calculated earlier as approximately 4.52 seconds.

We can plug in this value of t into the equation to find \(v_x\):

\(20 = v_x * 4.52\\v_x = 20 / 4.52\\v_x \approx4.42 meters/second\)

Therefore, the correct answer is : 4.42 meters/second.

The horizontal velocity with which the ball should be imparted to land on the rooftop of the second building is approximately 4.42 meters/second.

To know more about equation visit:

brainly.com/question/29538993

#SPJ11

Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

X would be the number of lawns he mows. We dont know that answer.

Y would be the amount he is paid. So i think it would be

Y=35 + X

Trying my best here im not good with algebra. I know that Y goes with the 35$

Independent variables are the factors that are manipulated or controlled by the researcher in a study. In the context of investigating the impact of a school nutrition program on grade performance of high school students, the independent variable would be the school nutrition program itself.

The researcher would design and implement the program, and this variable would be under their control.

Dependent variables, on the other hand, are the outcomes or variables that are measured in a study and are expected to change as a result of the independent variable. In this case, the dependent variable would be the grade performance of the students. The researcher would collect data on the grades of the students before and after the implementation of the nutrition program, and this would be the variable that is expected to be influenced by the independent variable.

In summary, the independent variable in this research design is the school nutrition program, while the dependent variable is the grade performance of the students. The researcher would manipulate the independent variable (implement the nutrition program) and then measure the dependent variable (student grades) to determine if there is an impact of the program on grade performance.

Learn more about Independent variables here:-

https://brainly.com/question/32711473

#SPJ11

Answer:

All real numbers

Step-by-step explanation:

All vertical parabolas have a domain of all real numbers

Answer:

D. 2(√34 + √106)

Step-by-step explanation:

1) Find the hypotenuse of a larger triangle infused in the kite since perimeter means the boundary of a shape. To do so, we need to apply the Pythagoras Theorem.

c² = a² + b²

c² = 5² + 9²

c² = 25 + 81

c² = 106

c = √106

2) Find the hypotenuse of the a smaller triangle infused in the kite.

c² = a² + b²

c² = 3² + 5²

c² = 9 + 25

c² = 34

c = √34

3) Apply the the formula for the perimeter of a kite; 2(a + b), where a is the smaller triangle and b is the larger triangle or vice versa.

= 2(√34 + √106)

Answer:

Your answer is: 5.08cm

Step-by-step explanation:

Answer:

sameeeeeeeee heheeeeeeeeeee

Step-by-step explanation:

27 km

Answer:

5^2+7^2= 12^2 so your answer should be 12

Answer:

AED 1000

Step-by-step explanation:

The  price is 600 after 40% discount

if original price is ,

100% : x = 60% : 600

1 : x = 0.6 : 600

600 = 0.6x

 x = 1000

Answer:

KENDRA SHOULD DIVIDE IT BY 2

Step-by-step explanation:

Answer:

The correct answer is B.

Step-by-step explanation:

Hope it helps

just did quiz   (┬┬﹏┬┬)

Answer:

y=$35

Step-by-step explanation:

y= total number in your account

x= # of weeks

y=5x + 20

y=10x + 5

x=3 weeks

Answer:

y=-1x+8

Step-by-step explanation:

-1 because the line is going down, and it's one down one to the right, one down one to the right, the whole way down.

+8 because that's where the line hits the line going up and down, that's the y-intercept.

a. Phoebe's car has the greater acceleration at first.

b. The maximum distance by which the other car was ahead was approximately 0.69 feet

c. The maximum difference in velocities does not occur at the same time as the maximum distance the two cars are apart.

d. The car that was ahead at first (Calvin's car) does not regain the lead.

Acceleration is the rate at which an object changes its velocity. In other words, it's the amount of change in velocity per unit of time. The standard unit of acceleration is meters per second squared (m/s²).

a Since \(e^{t}\) is always positive and increasing, while 3\(t^{2}\) is positive but increasing at a slower rate, we can conclude that Phoebe's car has the greater acceleration at first.

b We can do this by taking the derivative of the difference and setting it equal to zero:

(su(t) - sp(t))' = 3\(t^{2}\) - \(e^{t}\) = 0

Solving for t, we get t ≈ 0.85 seconds. Plugging this value back into the distance functions, we find that at this time Phoebe was ahead of Calvin by approximately 0.69 feet.

c. The maximum difference in velocities does not occur at the same time as the maximum distance the two cars are apart.

d. Yes, the car that was ahead at first does eventually regain the lead, since both cars have unbounded distance functions.

Learn more about acceleration on

https://brainly.com/question/460763

#SPJ1

Answer:

its C

Step-by-step explanation:

Answer:

7£

Step-by-step explanation:

Shamus buys 2 adult tickets which are 24£, 3 children tickets which are 21£, and 1 senior ticket which is 8£. 24 + 21 + 8 is 53. If Shamus pays with three 20£ notes, he payed 60£ in total. Shamus only needs 53£ however. 60 - 53 is 7 so Shamus would get 7£ back as change.

For the given equation which shows the relation of temperature in Celsius and Fahrenheit, the correct option is Option D.

What is meant by temperature?

Indicating the direction in which heat energy will naturally flow from a hotter body (one with a higher temperature) to a colder body(one at a lower temperature), the temperature is a measure of hotness or coldness defined in terms of any of several arbitrary scales.

The given equation is:

\(C = \frac{5}{9} (F- 32)\)

where C = temperature in Celsius

          F = temperature in Fahrenheit

The above equation can be rewritten as:

C = 5/9F - 160/9

Now, this is an equation of a straight line with a formula,

y = mx + c

Comparing,

m = 5/9 which is the slope of the equation.

This means that for a temperature increase of 1 degree Fahrenheit, the equivalent increase in temperature in Celsius is 5/9.

So the option I is true.

Similarly, an increase in 1 degree Celsius of temperature is equivalent to 9/5 = 1.8 degree increase in Fahrenheit.

So option II is true.

Option III is not true as is discussed above.

Therefore for the given equation of temperature, the correct option is Option D.

To learn more about temperature, follow the link.

https://brainly.com/question/30459660

#SPJ1

Answer:

D

Step-by-step explanation:

I have nothing else to say- lol

The unit rate of this cost of air freshners is; $1.9 per sock-shaped air fresheners

A unit rate is also called unit ratio and it describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

Now, we are told that the old lady finds 6 sock-shaped air fresheners priced at $11.40.

Thus, to find the unit rate simply means to find the cost of each sock-shaped air freshener. This would be;

Unit rate = Cost of 6 sock-shaped air fresheners/6 sock-shaped air fresheners

Unit rate = 11.4/6

Unit rate = $1.9 per sock-shaped air fresheners

Read more about Unit Rate at; https://brainly.com/question/19493296

#SPJ1

Answer:

50

Step-by-step explanation:

since all angles add up to 180

and since this is a right triangle the square in the corner is 90 degrees

so 40+90+x=180

130+x=180

subtract 130 from both sides

130-130+x=180-130

x=50

Hope that helps :)

The formula  mentioned for calculating z is false. The correct formula for calculating z in a normal distribution problem is (x- μ)/σ.

The correct formula for calculating z in a normal distribution problem is

(x- μ)/σ, where x is the value you want to transform, μ is the mean of the distribution, and σ is the standard deviation.

This formula allows us to standardize the data by measuring how many standard deviations a particular value is from the mean. The resulting z-value can then be used to find the corresponding area under the normal distribution curve using a z-table or statistical software.

Remember, z-scores are useful for comparing values from different normal distributions and determining probabilities or percentiles. So, to summarize, the formula for calculating z in a normal distribution problem is (x - μ) / σ, not (x - mean) / variance.

Hence the given formula is false.

To know more about standard deviation visit:

https://brainly.com/question/13498201

#SPJ11

Complete question - For normal distribution problems, we use the transformation formula to calculate z. the formula for z is the x value subtracted by the mean divided by the variance. True/ false

Based on the given information, it is explicitly mentioned whether the sample was randomly selected. This means that, based on the sample data, we can estimate the range within which the true proportion of interested participants is likely to fall with 95% confidence.

In statistics, a sample refers to a subset of a population that is selected for analysis or study in order to make inferences about the entire population. It is often not feasible or practical to collect data from an entire population, so a sample is used as a representative subset to gather information and draw conclusions about the larger population.

Here,

(a) The parameter that the confidence interval will estimate is the proportion of people in the area who are interested in participating in the LARPing event.

(b) The conditions that must be met to use a confidence interval procedure for a proportion are:

Random Sample: The survey respondents must be randomly sampled from the population of interest. This ensures that the sample is representative of the population.

Large Sample Size: The sample size must be sufficiently large, typically with at least 10 successes and 10 failures in the sample. This ensures that the sampling distribution of the sample proportion is approximately normal.

Independence: The responses of the survey respondents must be independent of each other. This means that one respondent's answer should not influence the answer of another respondent.

Based on the given information, it is not explicitly mentioned whether the sample was randomly selected or whether the sample size is large enough, and whether the responses are independent. This information would need to be provided or assumed in order to determine if the conditions for using a confidence interval procedure for a proportion have been met.

(c) The appropriate critical value can be found using a table or calculator. For a 95% confidence interval, the critical value is 1.96. The standard error of the sample proportion can be found using the formula:

SE = √(p(1-p)/n)

where p is the sample proportion and n is the sample size. Plugging in the values from the problem, we get:

SE = √(0.288(1-0.288)/1500)

= 0.020

(d) The 95% confidence interval can be calculated using the formula:

sample proportion ± (critical value) x (standard error)

Plugging in the values from the problem, we get:

0.288 ± 1.96 x 0.020

= 0.288 ± 0.0392

The 95% confidence interval is (0.2488, 0.3272).

(e) The interpretation of the confidence interval constructed in part (d) would be: We are 95% confident that the true proportion of people in the area who are interested in participating in the LARPing event lies between the lower and upper bounds of the confidence interval. The larger the confidence interval, the less precise our estimate, but the higher our level of confidence in the range.

To know more about sample,

https://brainly.com/question/15659544

#SPJ1

Answer:

460

Step-by-step explanation:

8x220=1760

5x200=1000

(2760+x)/14=230

2760+x=230x14

2760+x=3220

x=3220-2760

x=460

The correct answer to the given question is "True."

Cross-sectional design involves the systematic collection of responses to a consumer survey instrument from one or more samples of respondents at one point in time. The main purpose of the cross-sectional design is to gather information about a population at a specific time or period. Cross-sectional research is frequently used in psychology, epidemiology, marketing research, and other fields. The word "systematic" is used in the question, which implies a methodical or orderly procedure. Cross-sectional design gathers information through a systematic and organized method. Therefore, it is true that cross-sectional design involves the systematic collection of responses to a consumer survey instrument from one or more samples of respondents at one point in time.

Let's learn more about Cross-sectional:

https://brainly.com/question/28257972

#SPJ11

Step-by-step explanation:

Let k be Kevin’s age and let d be Daniel’s age.

Given : Kevin is 3 years older than Daniel.

i.e. k=d+3

Kevin's age two years ago= k-2

Two years ago, Kevin was 4 times as old as Daniel.

i.e. k-2=4(d-2)

Hence, the system of equations represents this situation :

k=d+3

k-2=4(d-2)

To find the exact length of the curve defined by the parametric equations x = e^(-9t) and y = 12e^(t/2) for 0 ≤ t ≤ 3, we can use the arc length formula for parametric curves: L = ∫[a,b] √[ (dx/dt)² + (dy/dt)² ] dt.

First, let's calculate the derivatives: dx/dt = -9e^(-9t); dy/dt = 6e^(t/2). Now, we can substitute these derivatives into the arc length formula and evaluate the integral: L = ∫[0,3] √[ (-9e^(-9t))² + (6e^(t/2))² ] dt. Simplifying the expression inside the square root: L = ∫[0,3] √[ 81e^(-18t) + 36e^t ] dt.

This integral might not have an elementary closed-form solution. Therefore, to find the exact length of the curve, we would need to evaluate the integral numerically using numerical integration techniques or appropriate software.

To learn more about parametric click here: brainly.com/question/31461459

#SPJ11

Answer:

im not sire u tell me like i think its 07

The value of the given expression is 7x.

A mathematical statement containing variables and numbers connected by at least one arithmetic operation is called an expression.

Given is an expression, \(e^{ln7x\)

Let

\(y = e^{ln7x\)

Taking ln both the sides,

\(ln(y) = ln(e^{ln7x})\)

㏑ y = ㏑ 7x ㏑ e

㏑ y = ㏑ 7x

y = 7x

Hence, the value of the given expression is 7x.

Learn more about expressions, click;

https://brainly.com/question/14083225

#SPJ5