The temperature at 6:00 a.m. was -12°F. The temperature increased by
1/2°F each hour for 6 hours. What was the temperature, in degrees Farenheit, at noon?

Answer:

31

Step-by-step explanation:

31

Answer:

24

Step-by-step explanation:

Put it in Desmos, and it’ll show you

The reasonable domain of the function is 8 ≤ x ≤ 24.7.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -0.5x² + 16x – 96

The function represents the height of a rocket as a function of its horizontal position.

It is reasonable to assume that the rocket is launched from the ground

(x = 0) and that it has some minimum height (above ground level) before it is launched.

Now,

We can find this minimum height by finding the vertex of the parabola, which is given by.

x = -b / (2a)

where a = -0.5 and b = 16.

Plugging in these values, we get.

x = -16 / (2(-0.5))

x = 16

Now,

The vertex occurs at x = 16.

To find the minimum height, we can plug this value into the function.

f(16) = -0.5(16)² + 16(16) - 96

       = 128

Therefore,

The rocket has a minimum height of 128 feet above ground level before it is launched.

To find the reasonable domain of the function.

Since the rocket is launched from the ground at x = 0 and has a minimum height of 128 feet, it is reasonable to assume that the rocket will remain above ground level for all values of x greater than or equal to 8, since the rocket must clear a height of 128 feet by the time it reaches x = 8.

Now,

We can find the x-value where the rocket reaches ground level

(i.e., its height is zero) by setting f(x) = 0.

Solving for x.

-0.5x² + 16x - 96 = 0

Using the quadratic formula.

x = ( -16 ± √(16² - 4(-0.5)(-96)) ) / (2(-0.5))

x = ( -16 ± √(1216) ) / (-1)

x ≈ 24.7 or x ≈ 7.3

Since the rocket is launched from the ground at x = 0, it is not reasonable to consider values of x less than 0.

Therefore,

The reasonable domain of the function is 8 ≤ x ≤ 24.7

This means,

The rocket will remain above ground level for all values of x between 8 and approximately 24.7.

Thus,

The reasonable domain of the function is 8 ≤ x ≤ 24.7.

Learn more about functions here:

https://brainly.com/question/28533782

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Answer:

The answer is B

Step-by-step explanation:

The formal is A = a+b/2 time h

You just substitute the variables and get the answer

Answer:

a. 10.4 problems are expected to be resolved today, with a standard deviation of 1.44 problems.

b. 0.2457 = 24.57% probability 10 of the problems can be resolved today

c. 0.5137 = 51.37% probability 10 or 11 of the problems can be resolved today

d. 0.5017 = 50.17% probability more than 10 of the problems can be resolved today

Step-by-step explanation:

For each case, there are only two possible outcomes. Either they are solved, or they are not. Cases are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

It can resolve customer problems the same day they are reported in 80% of the cases.

This means that [tex]p = 0.8[/tex]

Sample of 13 cases:

This means that [tex]n = 13[/tex]

a. How many of the problems would you expect to be resolved today? What is the standard deviation?

Expected:

[tex]E(X) = np = 13*0.8 = 10.4[/tex]

Standard deviation:

[tex]\sqrt{V(X)} = \sqrt{13*0.8*0.2} = 1.44[/tex]

10.4 problems are expected to be resolved today, with a standard deviation of 1.44 problems.

b. What is the probability 10 of the problems can be resolved today?

This is [tex]P(X = 10)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 10) = C_{13,10}.(0.8)^{10}.(0.2)^{3} = 0.2457[/tex]

0.2457 = 24.57% probability 10 of the problems can be resolved today.

c. What is the probability 10 or 11 of the problems can be resolved today?

This is [tex]p = P(X = 10) + P(X = 11)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 10) = C_{13,10}.(0.8)^{10}.(0.2)^{3} = 0.2457[/tex]

[tex]P(X = 11) = C_{13,11}.(0.8)^{11}.(0.2)^{2} = 0.2680[/tex]

[tex]p = P(X = 10) + P(X = 11) = 0.2457 + 0.2680 = 0.5137[/tex]

0.5137 = 51.37% probability 10 or 11 of the problems can be resolved today.

d. What is the probability more than 10 of the problems can be resolved today?

This is

[tex]P(X > 10) = P(X = 11) + P(X = 12) + P(X = 13)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 11) = C_{13,11}.(0.8)^{11}.(0.2)^{2} = 0.2680[/tex]

[tex]P(X = 12) = C_{13,12}.(0.8)^{12}.(0.2)^{1} = 0.1787[/tex]

[tex]P(X = 13) = C_{13,13}.(0.8)^{13}.(0.2)^{0} = 0.0550[/tex]

[tex]P(X > 10) = P(X = 11) + P(X = 12) + P(X = 13) = 0.2680 + 0.1787 + 0.0550 = 0.5017[/tex]

0.5017 = 50.17% probability more than 10 of the problems can be resolved today

Step-by-step explanation:

102*100=10200

10200÷126=80.95

So the third one is correct

Answer:

y=3

Step-by-step explanation:

-12+6=-6

-6/-2=3

Answer:

28 Weeks

Step-by-step explanation:

8÷2=4

4×7=28

28 Weeks

Answer:

522

Step-by-step explanation:

8x34=272+tips=522

Answer: 1 1/2

Step-by-step explanation:

A PARALLEL line has the same angular coeficient, so:

[tex]f(x) = 2x+b[/tex]

[tex]f(4) = 5[/tex]

[tex]5 = 2\cdot 4 +b[/tex]

[tex]b = 5-8[/tex]

[tex]b = -3[/tex]

The line asked is:

[tex]f(x) = 2x-3[/tex]

Answer:

-2x+y=-3

Step-by-step explanation:

Choose a point (4,5) that the parallel line will pass through.

Find the slope m=2

To find an equation that is parallel to   y=2x-4 the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.

y-y1=m(x-x1) if m=2 and x1=4 and y1=5

y-5=2(x-4)

y-5=2x-8

Solve for  y --- > y=2x-3

-2x+y=-3

(-2x+y=-3)*-1

2x-y=3

Step-by-step explanation:

a=

[tex] a = \sqrt{b + 16} \\ a { }^{2} = b + 16 \\ b = a {}^{2} - 16[/tex]

Answer:

2:1

Step-by-step explanation:

average age of both = 40

average age of teachers = 35

average age of professors = 50

35 + 35 + 50 = 120

120 / 3 = 40

Answer:1

6

−

9

Step-by-step explanation:there you go

Answer:-2(9+32n)

Step-by-step explanation:

Answer:

240

Step-by-step explain

so

k = 2640/11 = 240

2640/240 = 11

Answer:2869

I kno :)

Answer:

-5

Step-by-step explanation:

becuses look at where the slope intersecs the y axis. Its -5

EZ

Answer:

its

3.6

Step-by-step explanation:

trust me

Answer:

6.25 is the answer, I really dfon't know how to figure out which would be the procedure becuase I'm a little oxidated

Answer:

Chart nº 2

Step-by-step explanation:

Just match each points you will see which one is actually on the diagram!

Answer:

[tex] - \frac{1}{5 \sqrt{y} } [/tex]

Answer:

option 1

Step-by-step explanation:

[tex]\sqrt{y} =y^{\frac{1}{2}}\\\\(\frac{1}{\sqrt{y} })^{\frac{-1}{5}} =(\frac{1}{y^{\frac{1}{2}}})^{\frac{-1}{5}}\\\\= (y^{\frac{-1}{2}})^{\frac{-1}{5}}\\\\=y^{\frac{-1}{2}*\frac{-1}{5}}\\\\= y^{\frac{1}{10}}\\\\=\sqrt[10]{y}[/tex]

Answer:

(C) 8 x 10,000 + 3 x 1,000 + 7 x 100 + 3 x 10 + 4 x 1 + 2 x 0.1 + 1 x 0.01

Step-by-step explanation:

8 x 10,000 + 3 x 1,000 + 7 x 100 + 3 x 10 + 4 x 1 + 2 x 0.1 + 1 x 0.01=

80,000 + 3,000 + 700 + 30 + 4 + 0.2 + 0.01=

83,734.21.

I hope this helps!

Answer:

Step-by-step explanation:

Given that they give us how many seats are in the last row we know that each row contains 56 seats and we have 46 rows. If you multiply 56 by 46 you get 2,576. If a seat is added to each row there are 46 seats you must add to 2,576. This will make your answer 2,622

[tex]\dfrac{1}{8}\cdot \dfrac{1}{8} = \dfrac{1}{8^2} = \left(\dfrac{1}{8}\right)^2 = \left(\dfrac{1}{8}\cdot 1\right)^2 = \left(\dfrac{1}{8}\cdot \dfrac{2}{2}\right)^2 = \left(\dfrac{2}{16}\right)^2[/tex]

Answer: Hello! My guess would be 7. Sorry, if I'm wrong.

Step-by-step explanation: Count the jumps between A and C.

Answer:

omg this is so eaasy like u need tia tammera

Step-by-step explanation:

Answer:

$33(the answer is $33)

Answer:

B C

Step-by-step explanation:

because imagine that you have a huge doll house and you're wondering if you can get it in your room but you aren't sure what will happen if you try and push it through your door

Answer:

never

Step-by-step explanation:

Answer:

32 degrees

Step-by-step explanation:

The total angle formed is 90 degrees because there is a right angle.

So, 90 - 58 = g

      32 degrees = g