a mercury thermometer records a temperature of 8 degrees fahrenheit at 10 a.m. if the temperature drops by 3 degrees fahrenheit every hour what will be the temperature by 2 p.m. of the same day ​

Answers

Answer 1

Answer:

-4 Degrees Fahrenheit

Step-by-step explanation:

Given

[tex]Initial\ Temperature = 8[/tex] ---- at 10am

[tex]Difference = -3[/tex]

Required

Determine the final temperature at 2pm

First, we need to determine the hour from 10am to 2pm (Both inclusive)

[tex]Interval = 2pm - 10am + 1hr[/tex]

[tex]Interval = 4hr + 1hr[/tex]

[tex]Interval = 5hr[/tex]

To solve further, we make use of the following Arithmetic Progression formula:

[tex]T_n = a + (n - 1)d[/tex]

Where

[tex]a = 8[/tex] --- Initial

[tex]d = -3[/tex] --- difference

[tex]n = 5[/tex] -- 5th term

[tex]T_n[/tex] --- Final temperature at 2pm

So: we have:

[tex]T_n = 8 + (5 - 1) * -3[/tex]

[tex]T_n = 8 + (4) * -3[/tex]

[tex]T_n = 8 + 4 * -3[/tex]

[tex]T_n = 8 -12[/tex]

[tex]T_n = -4[/tex]

Hence:

The temperature is -4 Degrees Fahrenheit


Related Questions

Suppose Sine (x) = negative three-fifths and cos(x) < 0. What the value of cos(2x)?

Answers

Answer:

[tex]-\frac{7}{25}[/tex]

Step-by-step explanation:

Value of given trigonometric ratio is equals to  [tex]cos (2x) = \frac{7}{25}[/tex].

What is trigonometric ratio?

" Trigonometric ratio is defined as in the right triangle the ratio which represents the relation between sides of a triangle with acute angle of a triangle."

Identity used

[tex]sin^{2} x +cos^{2} x =1\\ \\cos (2x) = cos^{2} x - sin^{2} x[/tex]

According to the question,

Given value of trigonometric ratio,

[tex]sin x = \frac{-3}{5} \\\\cosx < 0[/tex]

Substitute the value of [tex]sin x[/tex] in the above identity of trigonometric ratio,

[tex](\frac{-3}{5} )^{2} + cos^{2} x=1\\\\\implies cos^{2}x = 1- \frac{9}{25}\\ \\\implies cos x = \sqrt{\frac{16}{25} } \\\\\implies cos x = \frac{-4}{5} , cos x < 0[/tex]

Substitute the value of [tex]sin x[/tex] and [tex]cos x[/tex]  the trigonometric identity ,

[tex]cos (2x) =( \frac{-4}{5})^{2} - ( \frac{-3}{5})^{2}\\\\\implies cos (2x) = \frac{16}{25}- \frac{9}{25} \\\\\implies cos (2x) = \frac{7}{25}[/tex]

Hence ,  value of given trigonometric ratio is equals to  [tex]cos (2x) = \frac{7}{25}[/tex].

Learn more about trigonometric ratio here

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Help me please !!!!!!!!!!!!!!

Answers

Answer:

-8

Step-by-step explanation:

All the other numbers like z=-3 and w=4 is all to trick you they aren't used. They put them there because it makes it harder to focus on one number and it throws you off. It's just doing the math by replacing the "x" with -1 and boom you have your answer!

Hope This Helps!!! Have a great day!!!

<3<3

Identify a line that the rectangle could be reflected over to result in a rectangle that has the same vertices as the original.

Answers

Answer:

The correct option is;

y = 6

Step-by-step explanation:

The reflection of the figure of a preimage over a line of symmetry will form an image that the same coordinates as the preimage.

The line of symmetry is a line or axis that goes through the geometric figure's center and outlines the division of the the figure into two identical, symmetrical parts

The appearance of the figure on one side of the line of symmetry is a reflection of the image on the other side of the line of symmetry

In the figure included in the question, given that the shape of the figure is a rectangle the line of symmetry will be a line passing through the midpoint of a chosen side and parallel to the side adjacent to the chosen side

Therefore, the lines of symmetry are x = 4.5 and y = 6. Therefore, the most correct of the given options is y = 6.

   Option A will represent the line of reflection.

 A rectangle has two pairs of vertices. If one pair reflects over a line in such a way that it replaces the other pair, line is said to be the line of reflection.

If the pair of points A,B replaces the other pair C,D, line of reflection will be y = 6.

Similarly, the pair of vertices A,C replaces other pair B,D, line of reflection will be x = 4.5.

   Therefore, line given in Option A will represent the line of reflection.

Learn more,

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EASY 10 POINTS QUESTION 7 PLEASEEEEEEE

Answers

Answer:

x=9

Step-by-step explanation:

-2x+9=-4x+27

first you want to get the -4x on the other side of the equal sign you do that by -4- -4 which will cancel them out and you do -2 - -4 = 2x

now you have 2x+9=27 now you do 9-9 which will cancel them out and you do 27 - 9 = 18

Now you have 2x=18 then you want to divide 2 by 2x which will cancel out the 2 and you want to divide 2 by 18 which equals 9 so you answer is x=9

hope this helps

Blueberries cost $4.00 per pound.

1. How many pounds of blueberries can you buy for $1.00?

Answers

Answer:

1/4 of a pound

Step-by-step explanation:

Because if 1 pound costs 4 dollars then you want to buy some blueberries for 1 dollar, you split the blueberries into fourths

Bob's Gift Shop sold 250 cards for Mother's Day. One salesman, Kylie, sold 2% of the cards sold for Mother's Day. How many cards did Kylie sell?

Answers

Kyle sold five cards in total.

Pleasee help! I don’t know the answers. I’m struggling

Answers

Answer:

1. Total amount of the five checks is $132.95.

2. She owed $16.47 before tax.

3. quizzes- 53 pts

   projects-129 pts

   tests-272 pts

   for grading period-454 pts

4. Tim-399

   Jane-401

   Felipe-412

   Chen-419

   team-1,631

Can i get brainliest please?

Look at the table


What is the ratio of cows to horses?

pwease help me ​

Answers

Answer:

5:8 is the ratio of cows to horses.

You buy a 36-ounce can of tomatoes. How many pints is that?

Answers

Answer:

If you buy a 36-ounce can of tomatoes the number of pints will be 2.24

Step-by-step explanation:

1 Fluid Ounces = 0.062 Pints

54 equals 9 more than a number $t$ .

Answers

Answer:54 = t + 9

Step-by-step explanation:

The expression is 54= t+9

Identify the axis of symmetry of the parabola.

Answers

The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.

Answer:

AOS: x = -1

Vertex: (-1, -2)

Step-by-step explanation:

Indentify the turning point of the graph with is x = -1.

Which one should I choose

Answers

Answer:

4th one please give me brainliest

Step-by-step explanation:

The last one is the answer if I am right...

What is the answer to this????

Answers

Answer:8

Step-by-step explanation:

Answer:

8 rows of art

Step-by-step explanation:

22. Write the word sentence as an equation. The product of negative 2 and 5 plus a number d = 14.​

Answers

Answer:

(-2+5)+d=14

Step-by-step explanation:

"Product" means add

The circumference of a circle can be found by multiplying Pi by the diameter True False

Answers

Answer:

True

Step-by-step explanation:

You can find the circumference by multiplying Pi and the diameter.

Answer:

True. And if you only know the radius, multiply the radius by two to get the diameter.

help! its due today.

Answers

Answer:c

Step-by-step explanation:

Answer:

a) [tex]\sqrt{90}[/tex]

Step-by-step explanation:

The square root of 90 is approximately 9.487.

Please help me answer this question 17

Answers

Answer:

∠AEC = 139°

Step-by-step explanation:

EC bisects ∠BED. This means that the line EC cuts the angle in half, so        ∠BEC = 4x + 1

write an equation for g(x) given the following transformations, translation right 3, vertical shift up 5, vertical compression/shrink 1/4.

Answers

у вас всё правильно вы молодцы

what place does the three sit at in 43,628,698,591

Answers

Answer:

Billion

Step-by-step explanation:

In 43,628,698,591 the three is in the Trillion spot.

One, Ten, Hundred, Thousand, Ten Thousand, Hundred Thousand, Million, Ten Million, Hundred Million, Billion.

There are 9 #’s after the 3 which means it is billions :)

If Kiran solves the equation for p, which equation would result?

Answers

Answer:  i have a answer but it is not up there srry

Step-by-step explanation:  

Help! WILL MARK BRAINLIEST!! Explanation?

Answers

use desmos to find the answer it really helps :)

Triangle QRS has vertices at Q(3,6), R(2, 3), and S(3,-2). If the triangle is dilated by a scale factor of į, what will be the coordinates of
R'?

Answers

Answer:

C

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply the coordinates of the point by the scale factor, that is

R(- 2, 3 ) → R'([tex]\frac{1}{3}[/tex](- 2), [tex]\frac{1}{3}[/tex](3) ) → R'( - [tex]\frac{2}{3}[/tex], 1 ) → C

2y + 4 = x + 2
Plz help solve for x in terms of y

Answers

Answer:

x=2y+2

Step-by-step explanation:

Answer:

2y + 2 = x

Step-by-step explanation:

Treat is like a normal equation and solve with inverse operations:

2y + 4 = x + 2

    -2         -2

2y + 2 = x

For the function, f(x) = x - 2, find x if f(x) = -1.

Answers

f(x)=x-2=-1
-1=x-2
+2 +2
-1=x

The quadrilateral shown is a rhombus. What is m∠4?

A) 28°
B) 32°
C) 58°
D) 90°

Answers

I think it would be 28

In a rhombus, both pairs of opposite angles are congruent

so m<4=32 degrees

so your answer is 32 DEGREES


[tex]( - \frac{3}{5} )( - \frac{10}{3} )( - \frac{2}{9} ) = [/tex]
I need help please​

Answers

[tex](-\frac{3}{5})(-\frac{10}{3})(-\frac{2}{9}) = (\frac{30}{15})(-\frac{2}{9}) = 2(-\frac{2}{9}) = -\frac{4}{9}[/tex]

Gabriella has four times as many erasers as Leona Leona has eight erasers how many erasers does Gabriella have?

Answers

Answer:

32 erasers.

Step-by-step explanation:

Leona has 8 erasers. Gabriella has 4 times as many. This means we have to multiply 8 by 4 to get the answer.

8x4 = 32 erasers.

If x = 3 solve x-(-4) =

Answers

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Replace x with the given value and solve.

[tex]x-(-4)\\\\3-(-4)\\\\3+4\\\\\boxed{7}[/tex]

Hope this helps.

PLEASE HELP!! i will mark brainliest!!

Answers

Its the distance formula so it would be square root of [(15+3)^2+(-7-17)^2]=30

You are tasked with helping plan a school dance. You expect 110 people to attend the dance and need to provide seating for each person. The tables come in two different sizes. The smaller tables can fit 2 people, the larger tables can seat 4 people. Write an equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.

Answers

Answer:

2x + 4y = 110

Step-by-step explanation:

Let

The quantity of small tables = x

The quantity of large tables = y

The smaller tables can fit 2 people, the larger tables can seat 4 people.

Equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.

Number of people×quantity (small table) + number of people×quantity (large table) = 110

2x + 4y = 110

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