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dimaraw [331]
2 years ago
14

On Tuesday morning, the temperature is -5º F. The temperature rises 3 4 degree each hour for 6 hours before dropping 1 4 degree

each hour for 3 hours. What is the temperature, in degrees Fahrenheit, after 9 hours?
Mathematics
1 answer:
Mice21 [21]2 years ago
8 0

Answer:

The temperature in degrees after 9 hours is -1.25 degrees Fahrenheit

Step-by-step explanation:

Here, we want to know the temperature after 9 hours

Per hour rise each hour is 3/4 degree = 0.75 degree

In 6 hours that will be 0.75 * 6 = 4.5 degrees

Or hour drop is 1/4 = 0.25 degree

In 3 hours, that will be 0.25 * 3 = 0.75 degree

Since it is a drop, we have -0.75 degree

Temperature after 9 hours will be;

-5 + 4.5 -0.75

= -5.75 + 4.5 = -1.25 degrees fahrenheit

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Which of these figures represents a line?
Anastaziya [24]

Answer:

Figure C

Step-by-step explanation:

Figure A represents a ray because it has arrow only on one end.

Figure B is a line segment because it stops on both ends.

Figure C is a line because it has arrow on both ends.

Figure D is an angle, because it is 2 rays joined at a vertex.

6 0
3 years ago
- What is the complete factorization of 4x2 – 24xy + 36y2 ?​
Rzqust [24]

<u>Answer: </u>

The complete factorization of 4 x^{2}-24 x y+36 y^{2} are 4(x-3y)(x+3y)

<u>Solution:</u>

Given Data:

4 x^{2}-24 x y+36 y^{2}

Take common value in all the three term.so we take 4 as common term in the above expression

4 x^{2}-24 x y+36 y^{2}=4\left(x^{2}-6 x y+9 y^{2}\right)

Now factorize the expression \left(x^{2}-6 x y+9 y^{2}\right)

Find the two numbers, whose product should be 9 and sum should be -6.

-3,-3 are the numbers which satisfy the above condition.

When we add -3-3=Sum is 6

Product of -3 \times -3= 9  

-3 , -3 satisfies the condition.

So the expression will become as x^{2}-6 x y+9 y^{2} = x^{2}-3 x y-3 x y+9 y^{2}

Take the common term

x(x-3y)+3y(x-3y)  

(x-3y)(x+3y)  

hence the complete factorization of 4 x^{2}-24 x y+36 y^{2} are 4(x-3y)(x+3y)

5 0
3 years ago
If f(x)=3x+10x and g(x)=4x-2 find (f+g)(x)<br> A:3x+6x+2<br> B:17x-2<br> C:3x+14x-2<br> D:3x-6x+2
Rudik [331]

Answer:

3x^2+14x-2 if you meant f(x)=3x^2+10x and g(x)=4x-2

and I think C was meant to read 3x^2+14x-2

Please correct me if I have mistranslated. Thank you kindly.

Step-by-step explanation:

I kind of wonder if you meant f(x)=3x^2+10x and g(x)=4x-2.

(f+g)(x)=f(x)+g(x)

          =(3x^2+10x)+(4x-2)

          =3x^2+10x+4x-2

          =3x^2+(10x+4x)-2  I paired 10x and 4x together because    they are like terms

         =3x^2+14x-2

7 0
2 years ago
Find the average value of the function over the given interval. (Round your answer to three decimal places.) f(x)
wel

Complete Question  

Find the average value of the function over the given interval. (Round your answer to three decimal places.) f(x) = 12e^x, [−6, 6] Find all values of x in the interval for which the function equals its average value. (Enter your answers as a comma-separated list. Round your answers to three decimal places.)

Answer:

The  average is  

  AV  =  403

The value of  x is

   x =  4

Step-by-step explanation:

From the question we are told that

  The equation is  f(t) =  12e^x

  The  points consider is  [-6 , 6]

Generally the average value of the function over the given interval is mathematically represented as

          AV  =  \frac{1}{z-w} \int\limits^ z_w {f(x)} \, dx

          AV  =  \frac{1}{ 6 - (-6)}  \int\limits^{6}_{-6} { 12e^x} \, dx

          AV  =  \frac{1}{12 } e^x| \left 6} \atop {-6}} \right.

          AV  = e^6 -e^{-6}

          AV  =  403

Generally when the function equal the average we have that

        f(x) =  12e^{x} =  403

        e^{x} =  34

          x =  ln(34)

        x =  4

         

       

3 0
2 years ago
If secA=2/√3 find the value of tanA/cosA+1+sinA/tanA
Gnom [1K]

Answer:

(10 + 3√3) / 6.

Step-by-step explanation:

cosA = 1/secA = 1 / 2/√3  = √3 /2.

If we consider a 30-60-90 triangle if cosA = √3/2,  sinA = 1/2 and

tanA = 1/√3.

So the answer is:

1/√3 / √3 /2. + 1 +  1/2 / 1/√3

= 2/3 + 1 + √3/2

= 5/3 + √3 /2

= (10 + 3√3) / 6.

5 0
3 years ago
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