On a certain spring day with 12 hours of daylight, the light intensity I takes on its largest value of 610 calories/cm^2 at midday. If t = 0 corresponds to sunrise, find a formula I = a sin bt, where t is in hours and a is in calories/cm2, that fits this information.

Answers

Answer 1
The sin bt can only take values between one and zero (definition of sin)The maximum of sin bt must be on at 1, when the maximum value of I occurs. Divide l = 610 by 1 to get a = 610.

If sin bt is equal to 1, the inverse sin will give us a value of bt = 90 degrees ( the value will be different from radians, bt = 1.57). assume the midday is the halfway point of the 12 hours of daylight, t = 90/6 = 15.
Therefore l = 610 sin 15 t where t is hours after sunrise. 
If I understand your problem correctly.

Related Questions

Three fourths of college students use the Internet more than the library. Nine hundredths use the library more. How many times more students use the internet?

Answers

Division
4/3X 100/9 = 8 1/3

What is the least number of line segments that make exactly 100 squares?

Answers

the answer for this question is 10


Answer with explanation:

First Possibility

→→100 Squares in a Row Requires 101 smaller line segments of equal length ,and 2 line segments of Larger Length having length equal to 100 times the length of one of the Smaller segments.

→→100 Squares in a Column Requires 101 smaller line segments of equal length ,and 2 line segments of Larger Length having length equal to 100 times the length of one of the Smaller segments.

 So, total number of line segments =101 +2=103

Second Possibility

If you draw 11 line segments of equal length in a column and 11 line segments in a row, you can draw 100 square of equal size.

   So, total number of line segments =11+11=22

solve the system of equations by graphing 4x-5y=20

Answers

Here is your graph of the system. Where they cross is the answer, which is -4. Pretty much you have to graph each equation and where they meet is the answer.

and doing some vandalizing to the posted image by MathJot, check the picture below.

[tex]\bf \begin{cases} 4x-5y=20\\ 3x+y=-4 \end{cases}\\\\ -------------------------------\\\\ 4x-5y=20\implies 4x-20=5y\implies \cfrac{4x-20}{5}=y\\\\\\ \boxed{\cfrac{4x}{5}-4=y} \\\\\\ 3x+y=-4\implies \boxed{y=-4-3x}[/tex]

How to divide 546 divided 78

Answers

7 is the answer to this question
You can either do long division or list out 78's multiples. 

          007
1. 78√546 

2. 78, 156, 234, 312, 390, 468, 546

If 12 less than 4 times a number is 8, the number is 5. What difference sentence where the unknown number is also 5?

Answers

Sent a picture of the solution to the problem (s).

Which number when multiplied by 3/4 gives a product between 3/4 and 1?

A: 0
B: 1/4
C: 3/4
D: 1 1/4

Answers

1 1/4 = 5/4

5/4 * 3/4 = 15/16


Answer is D 1 1/4

D is the answer
3/4*1 1/4

the sum of 5 times a number and 2 is equal to 4 times the number

Answers

5x +2 =4x

subtract 2 from each side

5x= 4x-2

subtract 4x from each side

x = -2


An arithmetic sequence has this recursive formula

Answers

Answer: B
This is because 7 is standing in place for a1 and -4 is standing in place for d in the explicit equation: an=a1+(n-1)d

Answer:

[tex]\text{The explicit formula is }a_n=7+(n-1)(-4)[/tex]

Option B is correct.    

Step-by-step explanation:

Given the recursive formula of arithmetic sequence

[tex]a_1=7[/tex]

[tex]a_{n}=a_{n-1}-4[/tex]

we have to find the explicit formula for the above sequence.

[tex]a_{n}=a_{n-1}-4[/tex]

[tex]a_{n}-a_{n-1}=-4[/tex]

which is the common difference, d=-4

The explicit formula for A.P is

[tex]a_n=a_1+(n-1)d[/tex]

[tex]a_n=7+(n-1)(-4)[/tex]

Option B is correct.

help me with this I don't get it help4help?

Answers

1) Divide 3/4 by 1/2. Remember how to divide fractions. Switch the problem into a multiplication problem. 
3/4 x 2/1 = 3/2 (so you could only have 1 and 1/2 servings with 1/2 pound of chicken in each serving. 

2) Set up a little algebra problem. Let x = the multiplier of the original 3/4 pounds of chicken needed to make two full servings with 1/2 pound of chicken in each. 
(3/4)x = 2(1/2)            (Found this online V(0-0)v)

Which function below has the largest slope? f(x) x f(x) −3 −10 −1 −7 1 −4 g(x) equals one half x plus 3 h(x) Lance gains 1 level each time he plays his favorite video game. He started at level 10.

Answers

f(x) and h(x) both have a slope of 1 and g(x) has a slope of 0.5 from the info you gave. check for typos

Answer:

f(x)

Step-by-step explanation:

Michael plays 1/5 of a song in 1/15 pf a minute. How many minutes will it take to play whole song

Answers

well, a whole will be five fifths or 5/5.

now, he only plays 1/5 in 1/15, how many minutes will it take to play the whole 5/5 of the song?

[tex]\bf \begin{array}{ccll} \stackrel{part}{song}&\stackrel{part}{minutes}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \frac{1}{5}&\frac{1}{15}\\\\ \frac{5}{5}&m \end{array}\implies \cfrac{\frac{1}{5}}{\frac{5}{5}}=\cfrac{\frac{1}{15}}{m}\implies \cfrac{\frac{1}{5}}{\frac{5}{5}}=\cfrac{\frac{1}{15}}{\frac{m}{1}}\implies \cfrac{1}{5}\cdot \cfrac{5}{5}=\cfrac{1}{15}\cdot \cfrac{1}{m}[/tex]

[tex]\bf \cfrac{1}{5}=\cfrac{1}{15m}\implies 15m=5\implies m=\cfrac{5}{15}\implies m=\stackrel{\textit{minutes}}{\cfrac{1}{3}}[/tex]

Felicia has 34 quarters,25 dimes and 36 pennies,how many coins does Felicia have?

Answers

Your math problem would be 36+34+25 which equals 95

In order to find the total number of coins, we need to add all the coins that she has:

34 coins + 25 coins + 36 coins = 95 coins

Felicia has a total of 95 coins.

The correct answer is C


A construction firm is trying to decide which of two models of a crane to purchase. Model A costs $100,000 and requires $4,000 per year to maintain. Model B has an initial cost of $78,000 and a maintenance cost of $13,000 per year. For how many years must model A be used before it becomes more economical than B? (Round your answer to one decimal place.)

Answers

Let A and B be the functions which calculate the cost of purchase and maintenance of the models for x years.

The functions are as follows: 

A(x)=100,000+4,000x                                (dollars)

B(x)=78,000+13,000x                              (dollars)


Model A becomes more economical than Model B when A(x)<B(x), 

so we solve:

100,000+4,000x<78,000+13,000x  

100,000-78,000<13,000x-4,000x
 
         22,000< 9000x
               
                 22<9x

                    x>22/9=2.444

Model A becomes more economical in the third year, that is after the first 2 years.






Can someone help me understand why the mean travel for women is greater than the mean travel for men?


Problem Words:

"In San Jose, the amount of time it took each person to get to work was recorded and rounded up to the nearest 555 minutes. The data collected for men and women are shown in the bar graph to the left"


Answers

Final answer:

To ascertain why mean travel time for women could be greater than for men, one would analyze commuting data for both genders and possibly use hypothesis testing to determine if any observed difference is statistically significant.

Explanation:

Understanding the differences in mean travel time between men and women requires analysis of provided data and consideration of statistical methods. For instance, if in San Jose, the recorded commuting times were higher for women, this could be a result of many factors including job location, availability of transportation, or societal roles affecting women's work commute. In the hypothetical scenario provided, it appears there were no actual data points or a graph to refer to, but typically, one would calculate the average commute time for each gender groups and then compare the two means.

For example, if you have a dataset and you're trying to establish whether the mean travel time for women is greater than that for men, you could perform a hypothesis test. The null hypothesis would state there is no difference in the commuting times between men and women, while the alternative hypothesis would state that There is a significant difference in mean commute times. You would then use the data findings, such as sample means and standard deviations, to perform an appropriate statistical test, like a t-test, to determine if there is a statistically significant difference between the mean commute times of the two groups.

Concluding if this difference is significant would involve looking at a predefined significance level (like 5% or 10%) and comparing the p-value from the test to this level. If the p-value is less than the significance level, we reject the null hypothesis and can claim there is a significant difference in the mean travel times between men and women.

Nancy purchased bed sheets for 36.00. They were on sale for 25% off. What was the original price

Answers

36.00 ÷ (1 - 0.25)
36.00 ÷ 0.75
$48

Hope this helps!
it is $144 because $36 is just 25% so you would multiply
$36 x 4 =144 hopes this helps you.

What is the volume of the frustum?

Answers

depending on the value used for PI the answers vary

 but attached picture is solution

 Answer is A.503.77

503.77 thats the right answer 


Kalesha is purchasing a laptop. The original price of the laptop is $900. The store is offering 10% off on all computers. Kalesha has a $100 gift card.

How should Kalesha determine the amount she will pay for her computer?
Subtract $100, then take 10% off.Take 10% off, then subtract $100.

Kalesha will pay  


The answer is : $710

Answers

I believe the answer is $710
Answer:

The amount Kalesha will pay for her computer is:

                      $ 710

Step-by-step explanation:

It is given that:

The original price of the laptop is $900.

The store is offering 10% off on all computers.

Kalesha has a $100 gift card.

Now in order to calculate the amount Kalesha will pay we first have to find the cost that will be reduced on a offer of 10% provided by the store and subtract this reduced price from the original price ; and finally we again subtract $ 100 from this resulting price.

When a offer of 10% is applied to the computer we have:

Price reduced on offer=10% of original price

i.e.

Price reduced on offer=10%×900

i.e.

Price reduced on offer=0.10×900

i.e.

Price reduced on offer=$ 90

Cost of Computer= Original price-Price reduced on offer

i.e.

Cost of computer= 900-90

i.e.

Cost of Computer=$ 810

Now, when Kalesha uses her gift card of $ 100 then,

Amount Kalesha will pay= $ (810-100)

i.e.

Amount Kalesha will pay= $ 710

What is the area of a circle with a diameter of 8 meters (use 3.14 for O
)

Answers

the answer is A~50.27


The answer si A~50.27 

The box office manager said about 5,000 people attended the show. Write a number that could be the actual attendance if he correctly rounded to the nearest hundred

Answers

it can be from 4,500 - 5,499

hope this helps

in a sale there is 25% off all prices a bed costs £33 in the sale what was the original price

Answers

If everything is 25% off, the sale price is equal to 75% of the original price.

Set up a proportion.
33/x= 75/100

Cross multiply
33*100=3300
3300/75=44=x

Final answer: $44

It takes Awan 8 1/3 minutes to run a mile, it takes Kate 1 1/5 time longer. How long does it take Kate to run one mile?

Answers

First turn the fractions to decimals 1/3=.33 1/5=.2 Then multiply 8.33 x 1.2=9.996

Answer:

10 minutes

Step-by-step explanation:

Given: It takes Awan  [tex]8\frac{1}{3}[/tex] minutes to run a mile, it takes Kate  [tex]1\frac{1}{5}[/tex] time longer.

To Find: How long does it take Kate to run one mile.

Solution:

Time taken by Awan to run a mile = [tex]8\frac{1}{3}[/tex] [tex]\text{minutes}[/tex]

                                                         = [tex]\frac{25}{3}[/tex] [tex]\text{minutes}[/tex]

Time taken by Kate to run a mile = [tex]1\frac{1}{5}\times\text{time taken by Awan}[/tex]

                                                       =  [tex]\frac{6}{5}\times\text{time taken by Awan}[/tex]

Therefore,

on putting values

The time taken by Kate =  [tex]\frac{6}{5}\times\frac{25}{3}[/tex] [tex]\text{minutes}[/tex]

                                      = [tex]\frac{6\times25}{5\times3}[/tex]

                                      = [tex]10[/tex] [tex]\text{minutes}[/tex]

Hence, the time taken by Kate to complete one mile is [tex]10[/tex] [tex]\text{minutes}[/tex]

What is the factored form of x2 − 4x − 5?

(x + 5)(x − 1)
(x + 5)(x + 1)
(x − 5)(x − 1)
(x − 5)(x + 1)

Answers

[tex] x^{2} -4x-5=(x-5)(x+1)[/tex]

If you used the foil method for (x-5)(x+1) and combined like terms you would get the same as 

The factored form of the equation x² − 4x − 5 is ( x - 5 )( x + 1 ). The correct option is D.

What is a quadratic equation?

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that the quadratic equation is x² − 4x − 5. The value of x will be calculated as:-

x² − 4x − 5 = 0

x² - 5x + x - 5 = 0

x( x - 5 ) + 1 ( x - 5 ) = 0

( x - 5 ) ( x + 1 ) = 0

Hence, the factored form of the equation x² − 4x − 5 is ( x - 5 )( x + 1 ).

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Explain why the function is differentiable at the given point then find the linearization of x/(x+y)

Answers

The differentiable functions are one for which there is a departure line at each position on the graph. The digression line to the graph y = f (x) at the point (a, f (a)) is given by the equation. Moreover the other line (at least near (a, f (a))), the function La is the best linear and find the best linear guess to the function f (x) = sqrt (x) near 100.

Let f (x) = ax + b and g(x) = cx + d, where a, b, c, and d are constants. determine necessary and sufficient conditions on the constants a, b, c, and d so that f ◦ g = g ◦ f

Answers

[tex]f(x)=ax+b[/tex]
[tex]g(x)=cx+d[/tex]

[tex]f\circ g(x)=a(cx+d)+b=acx+ad+b[/tex]
[tex]g\circ f(x)=c(ax+b)+d=acx+bc+d[/tex]

In order for [tex]f\circ g=g\circ f[/tex] to hold, we require [tex]ad+b=bc+d[/tex], which can be rearranged slightly as [tex](a-1)d=(c-1)b[/tex] or [tex]\dfrac{a-1}{c-1}=\dfrac bd[/tex], etc.
Final answer:

The necessary and sufficient conditions for f ◦ g = g ◦ f are that a and c must be non-zero and have the same sign, while b and d can be any values.

Explanation:

To determine the necessary and sufficient conditions for f ◦ g = g ◦ f, we need to find the values of a, b, c, and d that satisfy this equation.

a and c must be non-zero, as dividing by zero is undefined in functions.If a and c have different signs, f ◦ g and g ◦ f will have different slopes, which means they will not be equal. Therefore, a and c must have the same sign.If a and c have the same sign, b and d can be any values, as they won't affect the slopes of the functions.

Therefore, the necessary and sufficient conditions for f ◦ g = g ◦ f are that a and c must be non-zero and have the same sign, while b and d can be any values.

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a number is double and than increased by nine. the result is ninety-one. what is the original number?

Answers

the original number is 41

Which number sentence correctly solves this problem?

Jill's dad spent $783 for home repairs and $390 for car repairs. How much did Jill's dad spend on the repairs?



A.


783 – 390 = 393


B.
783 + 390 = 1,073


C.
783 + 390 = 1,173


D.


783 – 390 = 493

Answers

How much means total. We have to prices 783 and 390 so we add.
783+390=1173.

Find an equation of the sphere that passes through the origin and whose center is (â2,2,3). be sure that your formula is monic.

Answers

Um.....
I am not sure about this sorry.

Tina and Bruce are each rolling a 1 to 6 number cube . they are looking for different ways to roll two factors whose product is greater than 14. how many different ways will they find ?

Answers

Final answer:

To find the different ways to roll two factors whose product is greater than 14, we list the different outcomes when rolling a number cube twice.

Explanation:

To find the different ways to roll two factors whose product is greater than 14, we need to consider the possible outcomes when rolling a number cube twice.

First, we look at the factors of 14 and determine that they are 1, 2, 7, and 14.

Now, we can list the different ways to roll two factors:

If Tina rolls a 1 and Bruce rolls a 15 (6 + 9), the product is 15 which is greater than 14.

If Tina rolls a 2 and Bruce rolls a 10 (3 + 7), the product is 20 which is greater than 14.

If Tina rolls a 7 and Bruce rolls a 3, the product is 21 which is greater than 14.

If Tina rolls a 14 and Bruce rolls a 2, the product is 28 which is greater than 14.

Therefore, there are 4 different ways for Tina and Bruce to roll two factors whose product is greater than 14.

Find the area of a triangle with vertices at D(2,0), B(-1,0), and R(2,-7)

Answers

check the picture below.

you can pretty much get the lengths right off of the grid.

This is a standard deviation contest. you must choose four numbers from the whole numbers 22 to 9595, with repeats allowed. choose four numbers that have the largest possible standard deviation. (give your answer in the form of comma separated list of numbers in ascending order.)

Answers

Given a set numbers, to get the largest possible standard deviation, we use the numbers at the extreme.

Therefore, if we are to choose 4 numbers from 22 to 9,595 such that we have the largest possible standard deviation, the four numbers are 22, 22, 9,595 and 9,595.
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