If the hours of daylight in Miami can be
approximated using a sinusoidal wave, what is the
amplitude of the function if the shortest day in
Miami is 10 hours and 52 minutes long and the
longest day in Miami is 13 hours and 45 minutes
long?

Answer:

Step-by-step explanation:

Draw a horizontal line at the end of the 8 meter horizontal line.

Find the area of the horizontal rectangle

L = 8 + 3

W = 2

Area = L*w

Area = 11*2

area = 22 m^2

Now do the vertical rectangle

L = 8

w = 3

Area = L*w

Area = 8 * 3

Area = 24 m^2

Total Area = 24 + 22 = 46 m^2

Let's use the variables w and l to represent the current ages of the wool and linen tapestries, respectively.

From the problem, we know that:

w = l + 32 (the wool tapestry is 32 years older than the linen tapestry)

w - 20 = 2(l - 20) (twenty years ago, the wool tapestry was twice as old as the linen tapestry)

We can simplify the second equation by distributing the 2:

w - 20 = 2l - 40

Now we can substitute the first equation into the second equation to eliminate w:

(l + 32) - 20 = 2l - 40

Simplifying this equation, we get:

l + 12 = 2l - 40

Adding 40 to both sides:

l + 52 = 2l

Subtracting l from both sides:

l = 52

Now we can use the first equation to find w:

w = l + 32 = 52 + 32 = 84

Therefore, the present age of the wool tapestry is 84 years old, and the present age of the linen tapestry is 52 years old.

So the answer is option (b) 84, 52.

Answer:

20.8

Step-by-step explanation:

so x is opposite the 60 degree angle so that means that it is half of the hypotanuese times root three

so then x would be equal

24/12=12 root three which is equal to 20.8

Answer:

Step-by-step explanation:

Let's assume that we can apply the central limit thereom

the z score that associates with .86 is about 1.08

so

1.08=(x-5.4)/2.3

x= 7.884

The zscore that associates with .56 is .15

.15=(x-5.4)/2.3

x=5.745

The first quartile is equal to the 25th percentile

the 25th percentile has a z score is closest to -.67

-.67=(x-5.4)/2.3

x=3.859

Answer:

26

Step-by-step explanation :

73 - 47 = 26  brainliest?

The scenario in which the relationship between the dependent variable and one independent variable is different at different values of a second independent variable is called interaction. The correct answer is C.

Interaction refers to the scenario in which the relationship between the dependent variable and one independent variable is different at different values of a second independent variable. In other words, interaction occurs when the effect of one independent variable on the dependent variable depends on the level of another independent variable.

This can be represented in an interaction plot, where the lines representing the relationship between the dependent variable and one independent variable have different slopes at different levels of the second independent variable.

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Answer:

28 sq in

Step-by-step explanation:

Area =LxW

3.5x8=28

what is the question asking? all you said was that Karen has 3 1/4 feet of ribbon and she uses 1 3/4 feet to wrap gifts

The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

From the question, we have the following parameters that can be used in our computation:

x                  = 100

   -5m  - 7c  = 350

   -5m  - 9c  = 200

The above means that the variables in the system of equations are

x, m and c

So, we have the following representation

x    m     c        

1    0      0        100

0   -5    -7        350

0   -5    -9        200

When represented as an augmented matrix, we have

\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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Answer:

B. 3(6-x)=15

Step-by-step explanation:

3 times means to multiply 3

difference means to subtract, so the difference between 6 and a number would be 6-x (x representing the unknown number)

Hope this helps!

Answer:

B.

Step-by-step explanation:

if there are 5 people and 2 have to sit next to each other and 2 others cant sit next to each other, then 30 combinations possible

What are combinations?

A combination is a calculation that determines the number of possible arrangements in a collection of items in which the order of the selection does not matter. In combinations we can select the items in any order.

nn!/r!(n-r)!

Number of ways=5

=5!/2!2!

=5!/2*2

=5*4*3*2/2*2

=30

=30 ways

if there are 5 people and 2 have to sit next to each other and 2 others cant sit next to each other, then 30 combinations possible

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Answer:

Step-by-step explanation:

The value of the funciton of function f(g(x)) for x = 2 is that f(g(2)) is 33.

The function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

As per the given function,

f(x) = x² -3x + 5 and g(x) = -2x

f(g(x)) = f(-2x)

Since the operation of f(x) is x²-3 x+5.

So,  f(-2x) = (-2x)² - 3(-2x) + 5

f(g(x)) = 4x² + 6x + 5

The value of the combined function for x = 2 is

f(g(2)) = 4(2)² + 6(2) + 5

⇒ 16 + 12 + 5 = 33

Hence "The value of the funciton of function f(g(x)) for x = 2 is that f(g(2)) is 33".

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Answer:

C.

g(x) = -|x|

Step-by-step explanation:

Absolute value vertex. In this case, the vertex for y=−|x|y=-|x| is (0,0)(0,0)

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(−∞,∞)(-∞,∞)

Answer:

4

Step-by-step explanation:

but im not sure

Answer:

x = 81

Step-by-step explanation:

I assume you meant 3x = 243

243/3 = 81

Answer:

The height = 18 inches

Step-by-step explanation:

The volume = area of the base × height

Area of the base = 40.5 inches²

The volume = 729 inches³

729 = 40.5 × height

Height = 729 ÷ 40.5 = 18 inches

Answer:

they will have to sample 60 machined metal parts

Step-by-step explanation:

Given that;

Margin of Error E = 6.74

at 90% Confidence Interval, z = 1.645  { from table }

Range R = maximum range - minimum range = 220 - 93 = 127

standard deviation σ = R / 4 = 127/4= 31.7500

How many machined metal parts would they have to sample n = ?

to get our sample size, we use the following formula

n = [ zσ / E ]²

we substitute in our values

n = [ 1.645 × 31.7500 / 6.74 ]²  

n = [ 52.2287 / 6.74 ]²  

n = [ 7.7490 ]²          

n = 60.047 ≈ 60  

Therefore, they will have to sample 60 machined metal parts

You can use the margin of error with the z value and standard deviation to get the result.

The number of metal machine parts would be 60.

The number of machined metal parts that have to be sampled.

Range = Max. value - min. value = 220 - 93 = 127

The standard deviation is approximately the quarter of the range of the distribution.

Thus, \(\sigma = 127 \div 4 = 31.75\)

For 90% confidence, the z value is 1.645 (from z tables)

Thus, from the formula for size of sample, we have:

\(n = (\dfrac{z\sigma}{E})^2 = (\dfrac{1.645 \times 31.75}{6.74})^2 = (7.749)^2 \approx 60\)

The number of metal machine parts would be 60.

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The media personality's argument is flawed because they are basing their conclusion on a single year's data and ignoring the overall trend of increasing global temperatures. To counter this argument, one can make the following points:

1. While it is true that the annual increase in temperature may be less than the margin of error, the trend of increasing temperatures over several decades cannot be ignored. The margin of error is a statistical concept that takes into account the uncertainty in the measurement, but it does not negate the overall trend.

2. Global temperature records show that the Earth's temperature has been steadily rising over the past century, with the 10 warmest years on record occurring since 2005. This trend cannot be explained by natural variability alone and is consistent with the effects of human-caused climate change.

3. The consequences of rising global temperatures, such as melting glaciers, rising sea levels, and more frequent extreme weather events, are already being felt around the world. Ignoring this trend could have devastating consequences for future generations.

In summary, the media personality's argument is based on a flawed understanding of statistics and ignores the overall trend of increasing global temperatures. The best counterargument is to highlight the overwhelming evidence of climate change and its potential consequences.

Answer:

$123

Step-by-step explanation:

238 + 365 = 603

603 - 480 = 123

Both E and F are sets.

E = {w | w ≤ 2}

means that E is the set of all numbers w satisfying the condition that w ≤ 2. In other words, E contains all real numbers less than and including 2.

Similarly,

F = {w | w > 9}

is the set of all real numbers strictly greater than 9.

The intersection of E and F, denoted E ∩ F, is the set that contains the overlap of the two sets, or all the numbers that are common to both sets. In this case, E ∩ F is the empty set; this is because all numbers small than 2 cannot be larger than 9, so E ∩ F = ∅.

The union of E and F, written as E ∪ F, is the set containing all elements from both sets. In interval notation, E = (-∞, 2] and F = (9, ∞), so E ∪ F = (-∞, 2] ∪ (9, ∞).

The radian measure of an angle is directly proportional to the length of the arc intercepted by that angle on the unit circle.

Proportional is a mathematical concept that describes the relationship between two or more values that have a constant ratio. It is commonly used to describe the relationship between two or more variables, such as the size of an object in relation to another or the amount of a certain item in relation to the total amount. In proportionality, the ratio of the amounts remains consistent, no matter what the size of the values.

This means that as the angle increases, so does the length of the arc. This is because the length of an arc is determined by the angle measure of the central angle created by the arc, and the radian measure of an angle is the ratio of the arc length to the radius of the circle. Therefore, if the angle measure increases, so does the arc length.

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Answer:

C

Step-by-step explanation:

Evaluate g(0) then substitute the value obtained into f(x)

g(0) = \(\frac{1}{5}\) (0) - 1 = 0 - 1 = - 1 , then

f(- 1) = - (- 1) - 4 = 1 - 4 = - 3

Answer:

The maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.

Step-by-step explanation:

We are given that weight P is inversely proportional to the distance D between the supports of the beam, and for this certain type of wooden beam, we have:

P = 7200/D

To find the distance between supports needed to carry 1600 lb, we can substitute P = 1600 in the above equation and solve for D:

1600 = 7200/D

D = 7200/1600

D = 4.5 feet

So the distance between supports needed to carry 1600 lb is 4.5 feet.

To find the maximum distance between supports for the beam to support a weight of 1600 lb, we can use the same equation and solve for P = 1600:

1600 = 7200/D

D = 7200/1600

D = 4.5 feet

Therefore, the maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.

Answer:

x^2 = -20

Step-by-step explanation:

Answer:

-2xy+6x

Step-by-step explanation:

Answer:

A unit cube has one cubic unit of volume.

Another unit cube with the same length, width and height as the unit cube shown would have the same volume

Step-by-step explanation:

A cube is a shape formed from the combination of a square.

A cube has equal sides.

But a unit cube has equal sides and equal volume to be equal to one, i.e unity.