let f(t) be the outside temperature t hours after 9am. explain the meaning of f(1) < f(14)? help pleaseeee

Answer:

126 ft²

Step-by-step explanation:

surface area of rectangular prism: 2(LW + HW + WL)

Here Given:

Surface Area:

height= 3 ft

width= 3 ft

length= 9 ft

the surface area of the given prism.

\(s.a = 2(hw + wl + hl )\)

\(s.a = 2(3 \times 9 + 3 \times 9 + 3 \times 3)\)

\(s.a = 126 \: {ft}^{2} \)

therefore, the surface area of the given prism is 126 square feets.

Answer:

Solution given:

cotangent x=cot x=-1

now

x=cot -¹(-1)

x=180-45°

x=135°

So

ans is d. 135 degrees.

as cot is negative in 2nd quadrant.

Answer:

sum of an exterior angle is 360

2x+56+85+57+4x=360

6x+198=360

6x=360-198

6x=162

x=162/6

x=27

Answer:

x = 109

Step-by-step explanation:

75 + 45 + y = 180

120 + y = 180

y = 60

60 + 79 + z = 180

z + 139 = 180

z = 41

41 + 68 + a = 180

109 + a = 180

a = 71

x + a = 180

x + 71 = 180

x = 109

im so sorry. U_U *tears fall*

The equation of the quartic function is:

f(x) = -3(x + 2)²(x - 1)²

This type's quartics have the general form y = a(x h)4 + k. The pivotal moment occurs at (h, k). Determine the turning point before drawing quartic graphs of the type y = a(x h)4 + k. The x-axis and y-axis intercepts are discovered to provide the graph with further detail.

The given function can be expressed in factored form as: since it has x-intercepts at orders 2 and 2, at positions -2 and 1, respectively.

f(x) = a(x + 2)

²(x - 1)²

where an is a fixed value. We use the knowledge that the function passes through the position (0, -12) to determine the value of a:

f(0) = -12

When we enter x = 0 into the previous equation, we obtain:

a(2²)(-1)² = -12

If we simplify, we get:

4a = -12

a = -3

As a result, the quartic function's equation is:

f(x) = -3(x + 2)

²(x - 1)²

To know more about quadratic function visit:

https://brainly.com/question/18958913

#SPJ1

Answer:

\(m= -2\frac{1}{13}\)

Step-by-step explanation:

2m-27/3=5m

x3.             x3

2m-27=15m

-2m.     -2m

-27=13m

/13.   /13

-27/13=m

-2 1/13=m

Hopes this helps please mark brainliest

Therefore , the solution to the given problem of Perimeter comes out to be Perimeter = 2(9+12) = 42 and diagonal = √(9² + 12²) = √225 = 15 and So the sides are 9 and 12.

The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges.

Here,

L+W equals 21, thus we know that perimeter is 42.

Diagonal = 15, thus we know L2 + W2 = 152.

Let's create a quadratic equation and define L as 21-W:

(21-W)² + W² = 15² 441 - 42

441 - 42W + W² + W² = 225

2W² - 42W + 216 = 0

W² - 21W + 108 = 0

(W-9)(W-12) = 0

W = 9 or 12

Therefore , the solution to the given problem of Perimeter comes out to be Perimeter = 2(9+12) = 42 and diagonal = √(9² + 12²) = √225 = 15 and So the sides are 9 and 12.

To know more about perimeter, visit

https://brainly.com/question/6465134

#SPJ1

One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.

Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.

Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.

By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.

With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.

To know more about shorthand, refer here:
https://brainly.com/question/31301365
#SPJ11

Answer:

y = x

Step-by-step explanation:

Let A(-1,-4) and B(-4,-1).

The slope of AB is -1, and the midpoint of AB is (-2.5, -2.5).

The perpendicular bisector of AB thus has a slope of 1 and passes through (-2.5, -2.5).

The perpendicular bisector is the line of reflection, which has equation y = x.

The marginal revenue in the interval between six and seven jet skis is $300.

Here we are given that total revenue from six jet skis is $2,400

and total revenue from seven jet skis is $2,700

Now, marginal revenue is defined as the revenue gained or lost by producing one more additional unit of a good.

Here, the total revenue increases from $2,400 to $2,700 as we go from producing 6 jet skis to 7 jet skis.

Thus, the change in total revenue will be-

2700 - 2400

= 300

This means that the gain in revenue is $300.

Thus, the marginal revenue in the interval between six and seven jet skis is $300.

Learn more about marginal and total revenue here-

https://brainly.com/question/13444663

#SPJ4

Therefore , the solution of the given problem of expression comes out to be the simplified expression is 8n³ + 6n - 20.

There is a requirement for mathematical operations as addition, multiplication, and division. When combined, they produce the following: A mathematical operator, some data, and an expression. A statement of fact contains values, parameters, and mathematical operations including additions, subtractions, multiplications, and divisions. It is possible to contrast and compare various sentences and words.

Here,

Given :

2n² + 4n + 4

    x 4n - 5

    -----------

    8n³ - 10n² + 16n² - 20n + 16n - 20

    -----------

    8n³ + 6n - 20

Thus, the simplified expression is 8n³ + 6n - 20.

Therefore , the solution of the given problem of expression comes out to be the simplified expression is 8n³ + 6n - 20.

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

Answer:

x = 66

Step-by-step explanation:

Have a nice day

Answer:

4 Thank you cards

Step-by-step explanation:

lmk if you need the work on how i got it :)

Answer:

19%

Step-by-step explanation:

percent = part/whole × 100%

percent = 418/2200 × 100%

percent = 19%

The t times u is approximately equal to -139.7.

To find t times u, we use the formula for the dot product: t · u = |t||u|cosθ, where θ is the angle between the vectors. Since we are only given the vectors t and u, we need to find their magnitudes and the angle between them.

The magnitude of t is |t| = √(7^2 + (-3)^2) = √58, and the magnitude of u is |u| = √((-10)^2 + (-8)^2) = √164.

To find the angle between t and u, we use the formula cosθ = (t · u)/(|t||u|). Substituting the values we know, we get cosθ = ((7)(-10) + (-3)(-8))/((√58)(√164)) = -74/(2√1017). Using a calculator, we find that θ ≈ 131.5 degrees.

Now we can find t · u: t · u = |t||u|cosθ = (√58)(√164)(cos(131.5)) ≈ -139.7.

To learn more about : times

https://brainly.com/question/25734188

#SPJ8

The equation of the line passing through the point (-1,2) with slope m is y = mx + m-2. This is a general equation of the line and we can find different equations by putting different values of m.

We know that when a point and slope of the equation are given, an equation can be written as

\(\frac{y-y_{1} }{x - x_{1} } =m\)

which is known as the slope-point form

where m is the slope of the equation

y1 is the  y coordinate of the given point

x1 is the x coordinate of the given point

In the given question, y1 = 2 and x1 = -1

Substituting the value of coordinates in the slope point equation, we get

\(\frac{y-2}{x-(-1)} = m\)

\(\frac{y-2}{x+1}=m\)

y-2 = mx + m

y = mx + m-2

Hence, the equation of the line passing through the point (-1,2) with slope m is y = mx + m-2.

To learn more about the slope:

https://brainly.com/question/3605446

What is the equation of the line passing the point (-1, 2) with a slope m?

The equation that represent the relationship of the coffees is 3x + 5y = 68.

At a coffee shop, two sizes of coffee are sold. A medium coffee costs $3, and a large coffee costs $5.

The equation that represent the relationship between the number of medium coffees sold, x, and the number of large coffees sold, y, in an hour where sales totalled $68 is as follows:

where

Therefore, the equation is as follows:

3x + 5y = 68

learn more on equation here:https://brainly.com/question/14177953

#SPJ1

The 95% confidence interval for 2007 returns is -29.2% to 49.2%. We can calculate it in the following manner.

To calculate the 95% confidence interval for 2007 returns of stocks in the S&P 500, we first need to determine the margin of error. We can use the formula:

Margin of Error = z* (standard deviation / sqrt(n))

Where z* is the z-score for the desired level of confidence, which is 1.96 for a 95% confidence interval, standard deviation is 20%, and n is the sample size (which we assume to be 1).

So, Margin of Error = 1.96 * (0.20 / sqrt(1)) = 0.392

Next, we need to determine the range within which the true population mean is likely to lie. We can calculate this by adding and subtracting the margin of error from the sample mean. In this case, the sample mean is the average annual return over the period 1886-2006, which is 10%.

So, the 95% confidence interval for 2007 returns is:

10% +/- 0.392 or 9.608% to 10.392%

Therefore, we can be 95% confident that the true average annual return for stocks in the S&P 500 for the year 2007 falls between 9.608% and 10.392%.

Based on the provided information, the average annual return for stocks in the S&P 500 from 1886-2006 is 10%, and the standard deviation is 20%. To calculate a 95% confidence interval for 2007 returns, we can use the formula:

Confidence Interval = Mean ± (1.96 * Standard Deviation)

In this case, the mean is 10%, and the standard deviation is 20%. Plugging in these values, we get:

Confidence Interval = 10% ± (1.96 * 20%)

Confidence Interval = 10% ± 39.2%

Thus, the 95% confidence interval for 2007 returns is -29.2% to 49.2%.

Visit here to learn more about confidence interval brainly.com/question/24131141

#SPJ11

The probability that a sample of five parts from a production process that produces 3% defective parts contains exactly two defective parts is approximately 0.2834.

To find this probability, we can use the binomial probability formula:

P(X = 2) = (5 choose 2) * 0.03^2 * (1 - 0.03)^3

Where "X" is the number of defective parts in the sample, "5 choose 2" represents the number of ways to choose 2 defective parts out of 5, and 0.03 and (1 - 0.03) represent the probabilities of selecting a defective and non-defective part, respectively.

Using a calculator, we can simplify and compute:

P(X = 2) = (5 choose 2) * 0.03^2 * 0.97^3

= 10 * 0.0009 * 0.9127

≈ 0.0081

Therefore, the probability is approximately 0.0081 or 0.81%.

To know more about probability, refer here:

https://brainly.com/question/29964401#

#SPJ11

If earth days merely 2 hours long, which means the rotation period of the earth is 2 hours, your weight will become 1/144 of your actual weight.

The weight or gravitational force on a mass can also be considered as centripetal force.

The formula for the centripetal force is:

F = m v²/R

In this case,

m = your mass

v = tangential velocity or earth's rotation speed

R = earth's radius

Recall that speed = distance / time. In the problem, the distance is the circumference of the earth and the travelled time is the rotation period.

v = C/t

t₁ = 24 hours

t₂ = 2 hours

Since the units are the same, we do not need to convert the unit when comparing them.

Notice that the centripetal force is directly proportional to the square of rotation speed.

F ∝ v²

Hence,

F₁ : F₂ = v₁² : v₂²

But v is inversely proportional to rotation period. Hence,

F₁ : F₂ = t₂² :  t₁²

F₁ / F₂ = (t₂ /t₁)²

F₁ / F₂ = (2 /24)²

F₁ / F₂ = (1 /12)²

F₁ / F₂ = 1/144

Hence, your weight will be 1/144 of your actual weight.

Learn more about centripetal force here:

https://brainly.com/question/14353032

#SPJ4

Answer:

The ratio of height of the building to the number of floors is 104:8.

The unit rate is 13.

This means that each floor of the building is 13 ft high.

Step-by-step explanation:

The ratio of height of the building to the number of floors can be expressed as 104:8 or 13:1. The unit rate is found by dividing the height by the number of floors: 104 ÷ 8 = 13. This means that each floor of the building is 13 feet high, which is the constant of proportionality in this situation. As the number of floors increases, the height of the building also increases in a proportional manner.

Answer:(5x+8)/[(x+4)(x-1)(x+3)]

Step-by-step explanation:

1. First factorize the quad expressions in the denomeneter of both fractions.

2. Then choose you arithmetic common denomeneter .

3. And the rest is child's play.

Answer:

  42, 38, 34, 30

Step-by-step explanation:

You want the first 4 terms of the sequence described by ...

  an = 42 -4(n -1), n ∈ ℕ

You can write the first 4 terms of the sequence by evaluating the 'an' expression for n = 1, 2, 3, 4.

Or, you can recognize the expression describes a sequence with a first term of 42 and a common difference of -4. That is, each term is 4 less than the one before.

The terms you want are ...

  42, 38, 34, 30

__

Additional comment

The equation for the n-th term of an arithmetic sequence is ...

  an = a1 +d(n -1)

where a1 is the first term, and d is the common difference. Comparing this to the given equation, we see a1 = 42, d = -4.

<95141404393>

Answer:

D,

Step-by-step explanation:

that's because you only factorise when you have a common factor, ax-3b cannot be factorised because they have nothing in common so it is wrong to use x to factorise it. If you want to be sure that it is not factorisable, try expanding it and you'll see that you will not get the same answer.

Step-by-step explanation:

for x=5

3×0+5-5=0

0+0=0

i don't know i just tried

The height of the Sears Tower's building is approximately 725 feet.

Let's denote the height of the building as h, and the height of the antenna as a. According to the information given, the total height of the tower (t) is the sum of the heights of the building and the antenna, so we have t = h + a.

We are also given that the difference in heights between the building and the antenna is 279 feet, meaning a = h + 279.

Substituting this value of a into the equation for t, we have t = h + (h + 279). Simplifying, we get t = 2h + 279.

Since the total height of the tower, t, is given as 1729 feet, we can now solve the equation 1729 = 2h + 279 for h.

Rearranging the equation, we have 2h = 1729 - 279, which simplifies to 2h = 1450. Dividing both sides by 2, we find h = 1450/2 = 725.

Therefore, the height of the Sears Tower's building is approximately 725 feet.

Learn more about height here:

https://brainly.com/question/27149153

#SPJ11

The sequence type is a recursive function and the first five terms cannot be determined from the formula

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

a(n-2)ᵃ⁽ⁿ ⁻ ¹⁾ + 1 where a1 = 3

The formula a(n-2)ᵃ⁽ⁿ ⁻ ¹⁾ + 1 is recursive because it defines the nth term in terms of the two previous terms a(n-2) and a(n-1).

To find the first five terms of the sequence, we can use the initial value a1=3 and the recursive formula.

So, we have

a1 = 3

a2 = a(0)ᵃ¹

The second term cannot be calculated because we do not have a(0)

This means that other terms cannot be calculated with the formula

Read more about sequence at

https://brainly.com/question/7882626

#SPJ1