At a certain location, the number of hours of sunlight is modeled by y = 6.4 cosine (StartFraction pi Over 26 EndFraction x) + 12 where x represents the number of weeks after the summer solstice.

Based on the model, what is the minimum number of hours of sunlight at this location?

3.2
5.6
6.4
13.0

Answers

Answer 1

Answer:

5.6

Step-by-step explanation:

Edge 2020

Answer 2

A correct option is an option (b)

Given,

The function is [tex]y=6.4 cos(\frac{\pi x}{26})+12[/tex]

For minimum hours of sunlight, [tex]cos(\frac{\pi x}{26})[/tex]  should have the lowest value, that is -1 for [tex]x=26[/tex] {because [tex]cos (\pi )=-1[/tex] is the lowest value of cosine function}

Thus.

[tex]y_{minimum} = -6.4 + 12 \\y_{minimum}= 5.6[/tex]

So, the option is an option (b)

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Related Questions

What is the solution of log (2 t + 4) = log (14 minus 3 t)?
A. -18
B. -2
C. 2
D. 10

Answers

I think it’s b but I’m not 100% sure you might want a second opinion

Answer:

-2

Step-by-step explanation:

solve the equation below. -3 1/4x + 25=2 1/4x - 13 1/2

Answers

Answer:

x=7

Explanation:

-3 1/4x+25= 2 1/4x-13 1/2

25=5 1/2x-13 1/2

38 1/2=5 1/2x

7=x

3. Use properties of equality to solve the equation for w. 2(w+3) = -2(w-21)

Answers

Answer:

w = 9

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

:)

13
214
517
68
Which of the following angles are
congruent to 25? Select all that
apply.
А.
21
с
23
B
22
D 24

Answers

Answer:

D is answer

Step-by-step explanation:

please follow me

(50 points!) Find the missing angles.​

Answers

So far I can tell you 5=150 bc vertical angles are congruent
7=30 bc it is a linear pair with 150 meaning it is supplementary (180) 6=30 bc 7 and 6 are vertical angles

please reply fast..............​

Answers

i believe it would be -3

One important test for kidney disease involves measuring the levels of bicarbonate (HCO−3) in blood. Normal bicarbonate levels for a person ranging in age from 18 to 59 years old is 23–29 mmol/L. A lab purchased a new instrument to measure bicarbonate levels in blood and needs to certify it against their current instrument. The bicarbonate levels in the blood of a 38 year old woman was measured using the old and new instrument. The blood was tested 6 times using each instrument. The mean concentration of bicarbonate using the old instrument was found to be 24.6 mmol/L with a standard deviation of 1.56 mmol/L. The new instrument yielded a mean concentration of 25.9 mmol/L with a standard deviation of 0.54 mmol/L. Determine if there is a significant difference in the standard deviations of the two sets of measurements made by the two instruments at the 95% confidence level. Determine the value of Fcalc.

Answers

Answer:

Yes there is a significant difference in the standard deviations of the two sets of measurements made by the two instruments at the 95%

[tex]F_{calc} = 8.3457[/tex]

Step-by-step explanation:

From the question we are told that

    The  normal bicarbonate level is  k  =  23-29 mmol/L

    The number of times the blood was tested is  n =  6

    The mean concentration for old instrument is  [tex]\= x_1 = 24.6\ mmol/L[/tex]

     The  standard deviation is  [tex]\sigma_1 = 1.56\ mmol/L[/tex]

    The mean concentration for the new instrument is  [tex]\= x_2 = 25.9 mmol/L[/tex]

    The standard deviation is [tex]\sigma_2 = 0.54 mmol/L[/tex]

     The confidence level is  95%

     The level of significance is mathematically represented  as  [tex]\alpha = (100 - 95)\%[/tex]

[tex]\alpha = 0.05[/tex]

 Generally the test statistics is mathematically represented as

      [tex]F_{calc} = \frac{\sigma_1 ^2}{\sigma_2^2}[/tex]

=>    [tex]F_{calc} = \frac{1.56^2}{0.54^2}[/tex]

=>    [tex]F_{calc} = 8.3457[/tex]

Generally  the degree of freedom for the old instrument is  is mathematically evaluated as  

     [tex]df = n -1[/tex]

=>  [tex]df = 6 -1[/tex]  

=>   [tex]df = 5[/tex]  

Generally  the degree of freedom for the new instrument is  is mathematically evaluated as  

     [tex]df_1 = n -1[/tex]

=>  [tex]df_1 = 6 -1[/tex]  

=>   [tex]df_1 = 5[/tex]  

For  the f distribution table  the critical value  of  [tex]\alpha[/tex] at df  and [tex]df_1[/tex] is  

    [tex]F_{tab} =5.0503[/tex]

Generally given that the [tex]F_{calc} > F_{tab}[/tex] it means that  there is a significant difference in the standard deviations of the two sets of measurements made by the two instruments at the 95%

Can someone help me please

Answers

Answer:

r=-3,

Step-by-step explanation:

Which expression is equivalent to Negative 6 (negative two-thirds + 2 x)?

Answers

Answer:

hi answers b or a

Step-by-step explanation:

(WILL GIVE BRAINLIEST ASAP) A service that repairs televisions sells maintenance agreements for $10 a year. The average cost for repairing a
television is $34 and 5 in every 100 people who purchase maintenance agreements have televisions that require repair.
Find the service's expected profit per maintenance agreement.
$8.30
$8.64
$9.95
$9.66

Answers

8.64 hope this helped

Simplify the given equation.
6 - (3x + 10) + 4(2 - x) = 15

Options:
4 - 7x = 15
4 - 4x = 15
12 - 7x = 15

Answers

Answer:

4 - 7x = 15

Step-by-step explanation:

I think not sure

dice is rolled 3000 times
how many times would you expect to roll a 5

Answers

Answer:

500 times

Step-by-step explanation:

3000/6

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-2,-2) and (0,7).

Answers

Answer:

[tex]d = 9.2[/tex]

Step-by-step explanation:

Given

Points: (-2,-2) and (0,7)

Required

Determine the distance between them.

Distance is calculated as thus:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Where:

[tex](x_1,y_1) = (-2,-2)[/tex]

[tex](x_2,y_2) = (0,7)[/tex]

So, we have:

[tex]d = \sqrt{(0 - (-2))^2 + (7 - (-2))^2}[/tex]

[tex]d = \sqrt{(0 +2)^2 + (7 +2)^2}[/tex]

[tex]d = \sqrt{2^2 + 9^2}[/tex]

[tex]d = \sqrt{4 + 81}[/tex]

[tex]d = \sqrt{85}[/tex]

[tex]d = 9.2[/tex] --- Approximated

Write an equation in point-slope form for the line. Slope is -2 and (1, 1) in on the line.

Answers

Answer:

The point-slope form is y - 1 = -2 (x-1)

Step-by-step explanation:

Which number produces an irrational number when multiplied by 0.5

A.
[tex] \sqrt{16} [/tex]
B. 0.555...

C.
[tex] \sqrt{3} [/tex]

D. 1/3​

Answers

Answer:

  C.  √3

Step-by-step explanation:

When one of the factors is a rational number (0.5), the product will be irrational if, and only if, the other factor is irrational.

Of the numbers offered, only √3 is irrational.

  √3 will produce an irrational product when multiplied by 0.5.

__

The other values are all rational:

  A: 4

  B: 5/9

  D: 1/3

Taliyah drives 120 miles in 3 hours. At the same rate, how far will she drive in 5 hours?

Answers

Answer:

200 Miles

Step-by-step explanation:

120 miles divided by 3 hours = 40 miles

40 miles x 5 hours = 200 miles

i rly have no idea what this one is

Answers

Answer:

x = 11, y = 17

Step-by-step explanation:

Set the equations equal to each other. Since the vertical angles are congruent, 8x + 7 = 9x - 4 and 5y = 7y - 34. Now, solve your equations for the x and y values.

8x + 7 = 9x - 4

x = 11

5y = 7y - 34

2y = 34

y = 17

your soccer team isn’t holding a silent auction dinner as a fundraiser to pay for school uniforms. The list shows all the expenses for the silent auction, 1) a tablet costs $280 2) football tickets that cost $100 3) a gift card that cost $20 4) the cost of the food is $400. The members of the soccer team will be selling tickets to the silent auction. A ticket to the silent auction includes chances to win prizes and dinner. The ticket cost is set so that 50 tickets will pay for the cost of food and prizes and food. Part a determine the cost per ticket. Part B build a function that can be used to find the total profit, f(x), the soccer team earns by selling x tickets. Show your work to build a function. Part C your soccer team needs to raise at least $300 more than the total cost of the expenses. What is the minimum number of tickets that must to be sold in order for your team to reach their goal? Use the mathematics to justify your response.

Answers

Answer:

i will not give you the exact answer but i will tell you how to get the answer you need to add all the costs of everything and divide it by the number of tickets and that is how you get profit

Step-by-step explanation:

14) Which of the following correctly shows the markings for a perpendicular bisector?

Answers

Answer:

ieieieissisnessjspsjdprnr

C is the correct answer

Write an equation for the line that passes through (4, 5) and (6, 7).
|

Answers

Answer:

The equation in slope-intercept form would be y=1x+1

Step-by-step explanation:

We can use the slope formula,

m=y2-y1/x2-x1

m=7-5/6-4

m=1

plug in m for y intercept or "b" and choose either points to sub. for the x & y

I am going to choose the (6,7)

7=6(1)+b

7-6=6-6+b

b=1

Our "b" is equal to 1 and just add in the points to the slope formula y=mx+b

Which expression is equivalent to 42 + 49?

Answers

Answer:

91?

Step-by-step explanation:

You don't have any pictures attached or anything so I don't get a full understanding of what you are trying to say, anyways Have a good day! :)

Bradley sold at least 127 juices and coffees. He sold 9 more juices than coffees. What is the minimum amount of coffees Bradley could have sold? Enter your answer in the box.

Answers

Answer:

59 coffees

Step-by-step explanation:

c + j >= 127

j = 9 + c

c + 9 + c >= 127

2c + 9 >= 127

2c >= 127-9

2c >= 118

c=59,

check by 59× 59 + 9 = 127

HELP PLEASEE EASY QUESTION


Which statements are true about the polynomial function?

f(x)=x3−x2−4x+4

Select each correct answer.




f(x)=0 when x=−1 .

f(−1)=0

(x−1) is a factor of f(x) .

f(x) divided by (x−1) has a remainder of 0.

Answers

Answer:

D. f(x)  divided by (x−1)  has a remainder of 0.

C. (x−1)  is a factor of  f(x) .

Step-by-step explanation:

Just took a test with this question these are the answers!

The statements that are true about the polynomial function are;

(x−1) is a factor of f(x).  f(x) divided by (x−1) has a remainder of 0.

Given the polynomial function [tex]f(x)=x^3-x^2-4x+4[/tex]

If x = -1, hence;

[tex]f(-1)=(-1)^3-(-1)^2-4(-1)+4\\f(-1)=-1-1+4+4\\f(-1)=-2+8\\f(-1) =6[/tex]

This shows that f(x) ≠ 0 when x = −1 .

To check if x - 1 is a factor, we will substitute x = 1 into the function and check if the result is zero as shown:

[tex]f(1)=1^3-1^2-4(1)+4\\f(1)=1-1-4+4\\f(1) =0[/tex]

This shows that (x−1) is a factor of f(x).

This also shows that if f(x) divided by (x−1) has a remainder of 0.

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Devin has 39 toy blocks. What is the value of the digit 9 in the number

Answers

Answer:

The value of the digit 9 is in the ones place.

Step-by-step explanation:

1     Hundreds

1     Tens

1     Ones        <----------------

.     Decimal point

1     Tenths

1     Hundredths

1     Thousandths

Given m||n, find the value of x.
t
>m
(6x-9)
(5x+10)

Answers

9514 1404 393

Answer:

  x = 19

Step-by-step explanation:

The two marked angles are corresponding angles, so have the same measure.

  6x -9 = 5x +10

  x = 19 . . . . . . . . . add 9-5x

What is the equation of the line that passes through the point (-2,5) and has a slope of -6

Answers

Answer:

y = -6x - 7

Step-by-step explanation:

y = mx + b

5 = -6(-2) + b

5 = 12 + b

b = -7

y = -6x - 7

Most universities and colleges require an SAT score as one of the inputs to an admissions decision. Is it a good predictor of college success? Total SAT scores for 10 students are given, along with their college GPAs.

Answers

It is a good thing for some to have SAT score requirements in advance to see the progress they have made in school. On the other hand some students tend to get nervous on taking serious test like these so the outcome could be pretty bad and affecting their scores. Yes students could retake the test but some are unable to afford to retake it so that would be a major problem as well. In all SAT score requirements could be for good or turn out to be the worst for students.

Helppppppppppppppppppppppppp

Answers

Answer:

B

Step-by-step explanation:

Step 1: Translate word to math

"Five" = 5

"less than" means subtraction

"quotient" means division

"a number" = n

"and" means with (in this case)

"3" = 3"

"is" means equal

"-7" = -7

Step 2: Set up equation (combine)

n/3 - 5 = -7

The answer is B
n/3-5= -7


State what additional information is required in order to know that the triangles are congruent
for the reason given.
Only for 5 and 6

Answers

Answer:

Step-by-step explanation:

5). Reason for the congruence is given as SSS.

   "Property SSS for the congruence of two triangles states that all three sides of the triangles must be congruent."

In the given triangles ΔMLN and ΔULN,

ML ≅ LU [given]

NL ≅ NL [Reflexive property]

To fulfill SSS property third sides of the given triangles should be given as congruent.

Therefore, additional information required will be MN ≅ NU

6). SAS property of congruence states that "two sides and included angle between these sides of two triangles must be congruent"

From the given triangles ΔPWS and ΔVXW,

PW ≅ VW [Given]

∠PWS ≅ ∠XWV [Vertically opposite angles]

Therefore, to fulfill the property of SAS additional information required will be,

SW ≅ WV

A football coach needs to divide 48 players into two groups. He wants the ratio of the players in group 1 to players in group 2 to be 3. How many players in group 2?

Answers

Answer:

45

Step-by-step explanation:

A ratio shows us the number of times a number contains another number. The number of players in group 2 is 12.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

Given that the coach wants the ratio of the players in group 1 to players in group 2 to be 3. Therefore, the ratio can be written as,

Number of players in group1/Number of players in group2 = 3/1

Multiply the numerator and the denominator of the ratio by x,

Number of players in group1/Number of players in group2 = 3x /1x

Now, the total number of players can be written as,

3x + x = 48

4x = 48

x = 48/4

x = 12

Further, the number of players in group 2 can be written as,

Number of players in group2 = x = 12

Hence, the number of players in group 2 is 12.

Learn more about Ratios here:

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#SPJ2

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