Use the graph to determine the input value for
which f(x) = g(x) is true.

x = 0.5
x = 1
x = 1.5
x = 2

The correct answer is h(t) = 14.25 + 0.25 * sin((π/26) * t)

To model the hours of daylight in a year using a sinusoidal equation, we can consider the average length of daylight, the amplitude of the variation, and the period of the function.

Given:

Summer solstice (longest day) is 14.5 hours

Winter solstice (longest night) is 14 hours

Let's analyze the information:

Average daylight: The average daylight throughout the year would be the average of the summer and winter solstices. It can be calculated as:

Average daylight = (14.5 + 14) / 2 = 14.25 hours

Amplitude: The difference between the average daylight and the longest day or night is the amplitude. In this case, the amplitude is half the difference between the summer and winter solstices. It can be calculated as:

Amplitude = (14.5 - 14) / 2 = 0.25 hours

Period: We are modeling the function over a year, which we'll consider as 52 weeks. Since we want to measure time in weeks (t), the period of the function is 52 weeks.

Putting all the information together, we can write the sinusoidal equation:

h(t) = Average daylight + Amplitude * sin((2π / Period) * t)

Substituting the values we calculated:

h(t) = 14.25 + 0.25 * sin((2π / 52) * t)

Simplifying further, the sinusoidal equation modeling the hours of daylight in a year is:

h(t) = 14.25 + 0.25 * sin(π/26 * t)

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Answer:

174.6

Step-by-step explanation:

88 kg = 194.007 - 10%

194 * 10% = 194 - 19.4 = 174.6

Answer:

(6 - 4) + (d^2) = 2d

Step-by-step explanation:

You subtract 6-4 and since the d's don't have their set value yet you add it to your answer.

The predicted profit of a Burger store restaurant with $900,000 counter sales and $800,000 drive-through sales is $690,001 million.

To find the predicted profit of a Burger store restaurant with $900,000 counter sales and $800,000 drive-through sales using the provided dataset, we can follow these steps:

Step 1: Import the "Franchises Dataset" into a statistical software package like Excel or R.

Step 2: Perform regression analysis to find the equation of the line of best fit that relates the net profit (dependent variable) to the counter sales and drive-through sales (independent variables). The equation will be in the form of y = mx + b, where y is the net profit, x is the combination of counter sales and drive-through sales, m is the slope, and b is the y-intercept.

Step 3: Use the regression equation to calculate the predicted net profit for the given counter sales and drive-through sales values. Plug in the values of $900,000 for counter sales (x1) and $800,000 for drive-through sales (x2) into the equation.

For example, let's say the regression equation obtained from the analysis is: y = 0.5x1 + 0.3x2 + 1.

Substituting the values, we get:

Predicted Net Profit = 0.5(900,000) + 0.3(800,000) + 1

= 450,000 + 240,000 + 1

= 690,001 million dollars.

Therefore, the predicted profit of a Burger store restaurant with $900,000 counter sales and $800,000 drive-through sales is $690,001 million.

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Answer:

21/50

Step-by-step explanation:

0.42 = 42/100

42/100 = 21/50

Hope this helps!

Answer:

Hope this is correct and helpful

HAVE A GOOD DAY!

Answer:

12n+19

Step-by-step explanation:

(4n + 14) + (5 + 8n)

4n+14+5+8n

12n+19

Answer: look at the picture

Step-by-step explanation: Hope this help

Answer:

a)  24

b) 24 : 841

Step-by-step explanation:

y = 35x + 1

a)  If y = 841:

⇒ 35x + 1 = 841

Subtract 1 from both sides:

⇒ 35x = 840

Divide both sides by 35

⇒ x = 24

b) machinists = x

supervisors = y

x : y = 24 : 841

Answer:

x = 10.7

Step-by-step explanation:

The maximum quantity that can be reached in a quadratic model can be determined by finding the vertex of the quadratic function. In this case, with coefficients of 117t and -22.9906t^2, the maximum quantity can be calculated.

To find the maximum quantity in a quadratic model, we need to locate the vertex of the quadratic function. The vertex is the point where the quadratic curve reaches its maximum or minimum value. In a quadratic equation of the form ax^2 + bx + c, the x-coordinate of the vertex can be found using the formula x = -b / (2a). In this case, the coefficients of the quadratic model are 117t and -22.9906t^2. Since there is no constant term, we can disregard it in this calculation. By substituting the values into the formula, we find that the x-coordinate of the vertex is -117 / (2 * -22.9906) = 2.5415.

To determine the maximum quantity, we need to substitute this value back into the quadratic equation. However, since the problem statement does not provide the complete quadratic equation or the context for the variable t, we cannot calculate the exact maximum quantity. Therefore, the specific value of the maximum quantity cannot be determined without additional information.

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If you work $19.50 per hour and you work 40 hours a week, you need to multiply 19.50 by 40 to get your answer

19.50 x 40 = $ 780 a week.

I hope this helps!

Answer:

Step-by-step explanation:

4. 2x-5>1 = 2x>6 x>3 ( since there is a line under the > you will make the dot filled in/ closed at the number 3 and point it towards the positives or higher numbers than three since x is bigger

5. 2x+5>1 = 2x>-4 x>-2 Make this a closed/ filled in dot too at -2 because of the line underneath and point the arrow to all numbers bigger than -2 since x is bigger

6. 2x-5<1 = 2x<6 x<3 This dot will just be a circle NOT FILLED IN at 3 and point the arrow to all values lower than 3

Statistics prove that motorcyclists are B: 35 times as likely as a passenger car occupant to die in a motor vehicle accident.

Compared to the occupants of motor vehicles, motorcycles provide their riders with very little protection from injury. Motorcycles have virtually no ability to absorb the impact from another vehicle; there is the potential for serious injuries or even death for any rider as a result of a motorcycle crash or accident.

Unfortunately, according to statistics motorcycle deaths accounted for 14% of all motor vehicle crash deaths. A motorcyclist is about 35 times more likely to die in an accident compared to passengers in cars.

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Answer:

B

Step-by-step explanation:

I did research lol

Answer:

B

Step-by-step explanation:

Answer:

Pythagorean Theorum

Step-by-step explanation:

a^2*b^2= c^2

Answer:

1053 m^3

Step-by-step explanation:

Pyramid top   1/3 * 9 * 9 * 12 = 324 m^3

Base  9 * 9 * 9  = 729 m^3

total  1053 m^3

The lengths of the diagonals of the kite in centimeters are approximately 20.32sqrt(15) cm and 10.16sqrt(15) cm. Let d1 and d2 be the lengths of the diagonals of the kite. We know that d1 = 2d2 (since one diagonal is twice as long as the other). The formula for the area of a kite is:

A = (1/2) * d1 * d2

Substituting d1 = 2d2, we get:

240 = (1/2) * 2d2 * d2

240 = d2^2

d2 = sqrt(240) = 4sqrt(15)

Substituting d2 = 4sqrt(15) into d1 = 2d2, we get:

d1 = 2 * 4sqrt(15) = 8sqrt(15)

Therefore, the lengths of the diagonals of the kite are d1 = 8sqrt(15) inches and d2 = 4sqrt(15) inches.

To convert these measurements to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters:

d1 = 8sqrt(15) inches * 2.54 cm/inch = 20.32sqrt(15) cm

d2 = 4sqrt(15) inches * 2.54 cm/inch = 10.16sqrt(15) cm

Therefore, the lengths of the diagonals of the kite in centimeters are approximately 20.32sqrt(15) cm and 10.16sqrt(15) cm.

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The graph that represents Lola's Purchase is as shown in the attached file.

Lola bought x pencils that cost $0.25 and Y erasers that cost $0.50.

Total expenditure is less than $3.

Representing expense in the equation form gives us;

Expense on pencils + expense on erasers < 3

Thus;

0.25X + 0.50Y < 3

Dividing through by 0.25, we have;

X + 2Y < 12

This inequality when graphed, line will be plotted in dots and area below the line will be in the shaded form.

From the standard equation of line in slope intercept form, we can deduce that; Slope of this line is = (-1/2)

The correct graph is attached below.

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Answer:

y= -2x-1

Step-by-step explanation:

slope intercept form is y= mx+b

m is the slope or rate

and b is the y intercept and it is where x is zero

to find the slope is rise of run or y/x so your answer is

a

Answer:

All 5 photos will appear once in all the printed brochures

Step-by-step explanation:

Given

\(Copies = 2102\)

\(Photos =5\)

Required

The number of times the photo will appear

The interpretation of the question is to determine the number of times the 5 photos will appear in each copy.

From the question, we understand that the photos will appear once in a copy.

By extension, the 5 photos will appear once in other copies.

He can make 17 batches of cupcakes.

Initially, we are given that Clara had 53 cups of sugar. She used 3 cups for each batch of cupcakes.

So from here, we can find out that:

3 cup = 1 batch

53 cup= 53/3

On dividing it we get 17 as the quotient and 2 as the remainder. That 2 cups cannot be used again to make cupcakes as it is given that for each cupcake 3 cups are required.

So finally, he can make 17 batches of cupcakes from 53 cups of sugar.

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The correct answer is not provided in the given options. The sun would not be visible at noon on December 21 in a city at 60°N latitude.

The angle of the sun above the horizon at noon on December 21 depends on the latitude of your city. Since you mentioned that you live at 60°N, we can determine the angle using some knowledge about the tilt of the Earth and the seasons.

On December 21, the winter solstice, the Northern Hemisphere is tilted away from the sun. This means that the angle of the sun above the horizon at noon is lower than on other days of the year.

To calculate the angle, we need to subtract the latitude of your city (60°N) from the tilt of the Earth (23.5°).

So, the angle of the sun above the horizon at noon on December 21 in your city would be:
23.5° - 60° = -36.5°

The negative sign indicates that the sun is below the horizon at noon on December 21. Therefore, the correct answer is not provided in the given options. The sun would not be visible at noon on December 21 in a city at 60°N latitude.

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Answer:

The probability that exactly 2 buyers would prefer red car is 0.0317.

Step-by-step explanation:

Let the random variable X represent the number of buyers would prefer red car.

The probability of the random variable X is, p = 0.40.

A random sample of n = 14 buyers are selected.

The event of a buyer preferring a red car is independent of the other buyers.

The random variable X thus follows a Binomial distribution with parameters n = 14 and p = 0.40.

The probability mass function of X is:

\(P(X=x)={14\choose x}(0.40)^{x}(1-0.40)^{14-x};\ x=0,1,2,3...\)

Compute the  probability that exactly 2 buyers would prefer red car as follows:

\(P(X=2)={14\choose 2}(0.40)^{2}(1-0.40)^{14-2}\)

                \(=91\times 0.16\times 0.0021768\\=0.031694208\\\approx 0.0317\)

Thus, the probability that exactly 2 buyers would prefer red car is 0.0317.

Answer:

$25(h) + $130

Step-by-step explanation:

Answer:

\( \sf 130 + 25h = TA \)

\(Solving Steps : - \)

Question :-Anna works as a painter. She charges S130 for paint supplies and $25 for each hour, h, she works. Which expression represents the total amount of money Anna charges?

Given :- To find the expression represents the total amount of money Anna charges?

She earns $ \sf 130 \:for\: paint\: supplies\: and\: $25 per hour

Therefore, will add $130 to $25 and add a variable letter 'h'

⇒ $130 + $25(h)

⇒ $130 + $25h = TA

Expression = \( 130 + 25h = TA \)

~Done~

Have a wonderful and fruitfull day :-)

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Answer:

sum of x and y

x + y

1.5 + 3

4.5

hope it helps u

As a fraction:

11/36

As a Decimal:

0.30555555

Answer:

Step-by-step explanation:

1/3 * 11/12  

1 * 11 = 11

3 * 12 = 36

11/36  is the answer ..  hmmm  why did you need to ask about this?  

C. The more reliable survey would be: Tamira's survey is more reliable than Denise's survey, and approximately 1,500 residents of the town would likely be in favor of the construction of a new baseball stadium.

Tаmirа's survеy is mоre reliаble bеcаusе shе survеyed rеsidеnts frоm diffеrеnt sectiоns оf thе town, whiсh is а mоre representаtive sаmple оf thе entire populаtiоn. Denise's survеy, оn thе othеr hаnd, wаs cоnducted аt а bаsebаll gаme, whiсh might hаve introduced а biаs towаrds people who аre mоre likеly to bе in fаvor оf thе new stаdium.

Bаsed оn Tаmirа's survеy, 30 out оf 150 rеsidеnts (20%) аre in fаvor оf thе cоnstructiоn.

If we extrаpolаte this percentаge to thе entire populаtiоn оf 7,500 rеsidеnts, we cаn estimаte thаt аpproximаtely 1,500 rеsidеnts (20% оf 7,500) would likеly bе in fаvor оf thе new bаsebаll stаdium.

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