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

Answer:

Yes, if the triangles aren't necessarily both Euclidean. This may not be what you meant, and the other answers may answer your question more appropriately, but this seems a good opportunity to point out some more exotic scenarios that can exist.

Step-by-step explanation:

One thing we could do is take triangles from different geometries. For instance, the sum of the angles of a triangle drawn on a sphere will always be greater than 180" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">180180 degrees. So you could draw one triangle on a flat plane, another on a sphere, make the side lengths match, and you will get different sized angles.

The solution is given below.

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

from the given chart we get,

the solution is attached below.

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Answer:

Your coordinates would be:

(1,8) (1,5) (5,8)

Hope this helps!

Answer:

Actually its (1,8) (1,5) (6,8)

Step-by-step explanation:

The red part is incorrect, the orange is the correct one. I got it wrong.

In a sample size of 75 people in the Boomer Generation, proportionately, the estimated number of people who prefer to shop in-store is 63.

Proportion shows the relative number of objects or people in the whole.

Proportions are ratios equated to each other.

They are expressed as fractional values, in decimals, percentages, and fractions.

The percentage of Boomers who want to shop in-store = 84%

The sample size of the Boomer Generation = 75

The estimated number of Boomers in the sample size who want to shop in-store = 63 (75 x 84%)

Thus, 63 Boomers representing 84 percent of 75 want to shop in-store.

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Answer:

I haven't got a real clue

Step-by-step explanation:

I did some learning about it, I may be wrong(most likely)

but I think it might be SAS.

The shape can be proven congruent.

if you can find an angle which I think is H and K then most likely SAS. If this is a test and is very important then don't listen to this I am most likely wrong

Option C - y = cos(x + 5π) is the equation that most closely represents the graph. See attached graph.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal.

The graph of y = cos(x + 5π) is a cosine function that is shifted horizontally 5 units to the left compared to the standard cosine function.

The function is a periodic function that oscillates between -1 and 1, with each cycle shifted 5 units to the left compared to the standard cosine function.

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Answer:     b

Step-by-step explanation:

i took the quiz duhh

To find the value of (f o g)' at a given value, you first need to understand the concept of composite functions and the chain rule of differentiation. Let's break it down step by step.

To find the value of (f o g)' at a given value, you need to evaluate g(x) and f(x), find their derivatives, and use the chain rule to find the derivative of (f o g) at the given value. It is important to understand the concepts of composite functions and the chain rule to be able to solve problems involving these concepts.

What are composite functions? Composite functions are functions that are formed by composing two or more functions. The notation used to denote composite functions is (f o g)(x), which means that the output of function g is used as the input for function f. In other words, we first evaluate g(x), and then use the result as the input for f(x).

What is the chain rule of differentiation? The chain rule of differentiation is a method used to find the derivative of composite functions. It states that if a function is composed of two or more functions, then its derivative can be found by taking the derivative of the outer function and multiplying it by the derivative of the inner function.

To find the value of (f o g)' at a given value, we need to follow these steps:1. Find g(x) and f(x)2. Find g'(x) and f'(x)3. Evaluate g(x) at the given value4. Use the chain rule to find (f o g)' at the given value

step 1: Find g(x) and f(x)Let's say that we have two functions: g(x) = x^2 + 3x + 1 and f(x) = sqrt(x). To find (f o g)(x), we first need to evaluate g(x) and then use the result as the input for f(x). Therefore, (f o g)(x) = f(g(x)) = sqrt(x^2 + 3x + 1)

Step 2: Find g'(x) and f'(x)To find g'(x), we need to take the derivative of g(x) using the power rule and the sum rule. Therefore, g'(x) = 2x + 3To find f'(x), we need to take the derivative of f(x) using the power rule and the chain rule. Therefore, f'(x) = 1/2(x)^(-1/2)

Step 3: Evaluate g(x) at the given valueSuppose we want to find (f o g)' at x = 2. To do this, we need to first evaluate g(x) at x = 2. Therefore, g(2) = 2^2 + 3(2) + 1 = 11

Step 4: Use the chain rule to find (f o g)' at the given value now we can use the chain rule to find (f o g)' at x = 2. Therefore, (f o g)'(2) = f'(g(2)) * g'(2) = 1/2(11)^(-1/2) * (2)(3) = 3/sqrt(11)

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The statement that, "Volume can be measured in liters or cubic meters" is True.

There are several units used for measuring the volume of a liquid or other substance or object but the international unit of measurement for volume is the cubic meter or m³.

Volume is also common measured in the very popular unit known as liters. Smaller measures of liters include milliliters. For the cubic meter, there are also cubic millimeters and cubic decimeters.

In conclusion, it is true that volume can be measured in liters or cubic meters.

Options for this question include:

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Answer:

answer is B

Step-by-step explanation:

took the Assignment on edgen 2021

Answer:

No it does not work because 85 does not equal 100.

Step-by-step explanation:

so you would try the formula a2+b2=c2

2^2+9^2=10^2

4+81=100

85=100

No it does not work because 85 does not equal 100.

Answer:

Answer:C. 4 m, 3 m, 4 m, 4 m

Step-by-step explanation:

the sides in a parallelogram need to be equal to the opposite side making them the same length.

A parallelogram is a quadrilateral in which the opposite sides are parallel. The opposite sides and opposite angles are also equal.

Looking at the given options,

A) the opposite sides are equal to 2 yards. Therefore, it is a parallelogram.

B) the opposite sides are equal to 2cm and 3cm each. Therefore, it is a parallelogram.

C)A pair of opposite sides is equal to 4 cm and the other pair of opposite sides is unequal because one side is 3m and the other is 4 m. Therefore, it is not a parallelogram.

D) the opposite sides are equal to 5 in and 3 in each. Therefore, it is a parallelogram.

Hope this helps!!!

The coefficients of the product are 25 and -30. Option A nd E

These are expressions that are composed of arithmetic or mathematical operations, such as;

They are also made up of variables, coefficients, terms, constants and factors.

Coefficients are numbers in the front of variables in the expression.

Given that;

(5y − 3)(5y -3 )

expand the bracket

25y² - 15y - 15y + 9

25y²  -30y + 9

Hence, the coefficients are 25 and - 30

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Answer:

1.) 10: 1, 2, 5, 10.

15: 1, 3, 5, 15,

Answer would be 5.

2.) 18: 1, 2, 3, 6, 9, 18

21: 1, 3, 7, 21

Answer would be 3.

3.) 12: 1, 2, 3, 4, 6, 12.

24: 1, 2, 3, 4, 6, 8, 12, 24.

Answer would be 12.

4.) 8: 1, 2, 4, 8.

20: 1, 2, 4, 5, 10, 20.

Answer would be 4.

5.) 14: 1, 2, 7, 14.

28: 1, 2, 4, 7, 14, 28.

Answer would be 14.

Step-by-step explanation:

Using the listing method, you would first list the common factors of each number, to which that number could be multiplied by. Then, you would search for the greatest common factor.

Answer:

23/4

Step-by-step explanation:

5*4 = 20

20+3=23

Answer:

23/4

Step-by-step explanation:

I learned it like this

4x5+3

So basically you multiply the bottom number with the whole number on the side and add the top number to it

And 4x5+3=23

You keep the bottom number of the mixed number

So it's 23/4

(I'm not super good at explaining things, but I hope this helped)

Answer:

Step-by-step explanation:

You have omitted relevant parts of the question. What is the question? Are you looking for the area of the yard? The amount of fencing needed?

What units are used? (Feet, yards, meters, etc.)

area of yard = 75×55 = 4125 units²

amount of fencing needed = perimeter of rectangle = 2(75+55) = 260 units.

The total length of the fencing is the perimeter of the rectangular yard which is P = 260 feet

The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.

Perimeter P = 2 ( Length + Width )

Given data ,

The width of the rectangular yard W = 55 feet

The length of the rectangular yard L = 75 feet

Let the perimeter of the rectangular yard be = P

And , the required fencing = Perimeter of rectangular yard

Perimeter of rectangular yard P = 2 ( L + W )

Substituting the values in the equation , we get;

Perimeter of rectangular yard P = 2 ( 55 + 75 )

Perimeter of rectangular yard P = 2 ( 130 )

Perimeter of rectangular yard P = 260 feet

Therefore , the value of P is 260 feet

Hence , the perimeter of yard is 260 feet

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Mr. Fuller wants to put fencing around his rectangular-shaped yard. the width of the yard is 55 feet and the length is 75 feet. how many feet of fencing does Mr. Fuller

Answer: x = 101

Step-by-step explanation:

Answer:

101

Step-by-step explanation:

The cruise ship will travel approximately 15 nautical miles in 345 minutes.

Use a proportion to solve this problem. Let "d" be the number of nautical miles the cruise ship will travel in 345 minutes. Then:

19 nautical miles / 437 minutes = d nautical miles / 345 minutes

To solve for "d", cross-multiply:

19 nautical miles x 345 minutes = d nautical miles x 437 minutes

Then, divide both sides by 437 minutes to isolate "d":

d nautical miles = (19 nautical miles x 345 minutes) / 437 minutes

Simplifying this expression, we get:

d nautical miles = 15 nautical miles (rounded to the nearest whole number)

Therefore, the cruise ship will travel approximately 15 nautical miles in 345 minutes.

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Answer:

48×4.3=184 and that is the easy way how to do it

Answer:

19.99%

Step-by-step explanation:

hope this helps

here you go

Answer:

(2,1)

Step-by-step explanation:

The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.

So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:

4(1) - 2(2) = 0

So the point (2,1) is on the line.

Check the picture below.

The total number of people who like fantasy is 222.

Option A is the correct answer.

We have,

From the table

The number of people who like fantasy but do not like Sci-Fi.

= x

Now,

We can write an equation  from the table as,

x + 210 = 318

Solve for x.

x = 318 - 210

x = 108

Now,

From the table again,

We can make an equation as,

114 + 108 = 222

This is the total number of people who like fantasy.

Thus,

The total number of people who like fantasy is 222.

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Answer:

The number of the class containing the  largest score can be found in frequency  24 and the class is  98 - 103

For the third class 78 - 83 ; the upper limit = 83

The class width for this histogram 5

The number of students that took the exam simply refers to the frequency is  84

The percentage of students that scored higher than 95.5 is 53%

Step-by-step explanation:

The objective of this question is to use the following histogram that shows the exam scores for a Pre-algebra class to answer the question given:

NOW;

The table given in the question can be illustrated as follows:

S/N           Class                Score          Frequency

1                 68  - 73            70.5           0

2                73 - 78             75.5           4

3                78 - 83             80.5           8

4                83 - 88             85.5           12

5                88 - 93            90.5           16

6                93 - 98            95.5           20

7                98 - 103           100.5          24                            

TOTAL:                                                 84

a) The number of the class containing the  largest score can be found in frequency  24 and the class is  98 - 103

b) For the third class 78 - 83 ; the upper limit = 83  ( since the upper limit is derived by addition of  5 to the last number showing  in the highest value specified by the number in the class interval which is 78 ( i.e 78 + 5 = 83))

c)   The class width for this histogram 5 ; since it  is the difference  between the upper and lower boundaries  limit of the given class.

So , from above the difference in any of the class will definitely result into 5

d) The number of students that took the exam simply refers to the frequency ; which is (0+4+8+12+16+20+24) = 84

e) Lastly; the percentage of students that scored higher than 95.5 is ;

⇒\(\dfrac{20+24}{84} *100\)

= 0.5238095 × 100

= 52.83

To the nearest percentage ;the percentage of students that scored higher than 95.5 is 53%

Answer:

1. 98-103 (6th class)

2. 88

3. 5

4. 84

5. 52%

Step-by-step explanation:

Find attached the frequency table.

The class of exam scores falls between (1, 2, 3, 4, 5, or 6).

The exam score ranged from 68-103

1) The largest number of exam scores = 24

The largest number of exam scores is in the 6th class = 98 -103

Step 2 of 5:

The upper class limit is the higher number in an interval. Third class interval is 83-88

The upper class limit of the third class 88.

Step 3 of 5:

Class width = upper class limit - lower class limit

We can use any of the class interval to find this as the answer will be the same. Using the interval between 73-78

Class width = 78 - 73

Class width for the histogram = 5

Step 4 of 5:

The total of students that took the test = sum of all the frequency

= 0+4+8+12+16+20+24 = 84

The total of students that took the test = 84

Step 5 of 5:Find the percentage of students that scored higher than 95.5

Number of student that scored higher than 95.5 = 20 + 24 = 44

Percentage of students that scored higher than 95.5 = [(Number of student that scored higher than 95.5)/(total number of students that took the test)] × 100

= (44/84) × 100 = 0.5238 × 100 = 52.38%

Percentage of students that scored higher than 95.5 = 52% (nearest percent)

Answer:

76.665

Step-by-step explanation:

Given that,

cos α = 0.93, Sin θ =0.26 and tanβ = 0.84

We need to find the value of α, β and θ

\(\alpha =\cos^{-1}(0.93)\\\\=21.565\\\\\beta =\tan^{-1}(0.84)\\\\=40.030\\\\\theta=\sin^{-1}(0.26)\\\\=15.07\)

So,

\(\alpha +\beta +\theta=21.565+40.03+15.07\\\\=76.665\)

Hence, the final answer is 76.665.

The coordinates of the reflected point P' will be (4, -3).

When a point is reflected over the x-axis, its y-coordinate changes sign.

In this case, the point P has coordinates (4,3).

To reflect it over the line x=3, we need to keep its x-coordinate the same and change its y-coordinate to its opposite.

So, the x-coordinate of the reflected point will still be 4, but the y-coordinate will become -3.

Therefore, the coordinates of the reflected point P will be (4, -3).

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Answer:

Step-by-step explanation:

So, the slope of the line between the points (19,-2) and (-11,10) is -2/5. Therefore, the slope of the line passing through the points (-11, 10) and (19, -2) is -2/5.

Slope is a measure of the steepness of a line. It describes the rate at which the line is ascending or descending as it moves from left to right on a graph. The slope of a line can be calculated by dividing the change in the y-coordinate by the change in the x-coordinate between two points on the line, often represented as "rise over run" or Δy/Δx.

Here,

16. The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

So, for the given points (19,-2) and (-11,10), we can find the change in y and change in x as:

change in y = 10 - (-2) = 12

change in x = -11 - 19 = -30

Therefore, the slope of the line is:

slope = (change in y) / (change in x)

= 12 / (-30)

= -2/5

17. The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula:

slope = (y2 - y1) / (x2 - x1)

So, for the given points (-11, 10) and (19, -2), the slope of the line passing through them can be calculated as:

slope = (-2 - 10) / (19 - (-11))

= (-12) / 30

= -2/5

18. The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula:

slope = (y2 - y1) / (x2 - x1)

So, for the given points (12, -18) and (-15, -18), the slope of the line passing through them can be calculated as:

slope = (-18 - (-18)) / (-15 - 12)

= 0 / (-27)

= 0

Therefore, the slope of the line passing through the points (12, -18) and (-15, -18) is 0.

19. The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula:

slope = (y2 - y1) / (x2 - x1)

So, for the given points (1, -19) and (-2, -7), the slope of the line passing through them can be calculated as:

slope = (-7 - (-19)) / (-2 - 1)

= 12 / (-3)

= -4

Therefore, the slope of the line passing through the points (1, -19) and (-2, -7) is -4.

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Answer:

The mean of X is 2

Step-by-step explanation:

Given the data in the question;

set of 10 cards consist of 5 red card and 5 blacks

cards are chosen, replaced and shuffled four times;

number of independent trials n = 4

now, since its is replaced, the probability of getting a red card in each trial will be;

p = 5/10 = 0.5

let X rep the number of red cards observed in the four trials.

the random variable follows binomial distribution where

n = 4 and p = 0.5

so

E(X) = ∑xP( X = x )

E(X) = np

we substitute

E(X) = 4 × 0.5

E(X) = 2

Therefore, The mean of X is 2

In domain and range of a relation, if R be a relation from set A to set B, then

• The set of all first components of the ordered pairs belonging to R is called the domain of R.

Thus, Dom(R) = {a ∈ A: (a, b) ∈ R for some b ∈ B}.

• The set of all second components of the ordered pairs belonging to R is called the range of R.

Thus, range of R = {b ∈ B: (a, b) ∈R for some a ∈ A}.

Therefore, Domain (R) = {a : (a, b) ∈ R} and Range (R) = {b : (a, b) ∈ R}

Answer:

Jim would have to spend two hours on his task. And Michael seven.

Step-by-step explanation:

Jim spends two hours. Michael spends double that time plus three more hours. Two doubled is four. Three plus four is seven.

And two plus seven equals nine.