Starting at 1:00 p.M., The temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours (x) it will take to reach -1 °F.

Answers

Answer 1

Answer: it will take 5 hours to reach -1 °F.

Step-by-step explanation:

The temperature changes -4 degrees Fahrenheit per hour. This is a linear rate. The rate at which the temperature is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence(the starting point)

d represents the common difference.

n = x = the number of terms in the sequence(number of hours)

From the information given,

a = 0(at 1 pm, number of hours is 0)

d = - 4 degrees (it is decreasing)

Tn = -1 °F.

We want to determine the number of hours, x when Tn = -1 °F

Therefore,

- 1 = 0 + (x - 1)- 4

- 1 = - x + 4

x = 4 + 1

x = 5 hours


Related Questions

7. How many Cones will it take to fill a Cylinder with the same height and radius?
O 6 cones
O 3 cones
O 1 cone
O 2 cones​

Answers

Answer:

3 cones

Step-by-step explanation:

This is why the formula for the volume of a cone is 1/3 (π×r^2)× h, while the volume for a cylinder is (π× r^2)× h, respectively.

Answer:

C) 3 Cones.

Explanation:

Hope this helps! :)

hi!! <3 i attached a picture of a easy trigonometry question can you please help if you don’t mind <33

Answers

Answer:

Side AB has a length of 4, and side BC has a length of 11.7

pls help it will mean alot!!
due rn!!

Answers

Answer:

f(x) = 4^x

f(4) = 4^4 = 256

Hope this helps!

:)

the answer is 256 but i am not sure

hope this helps and be safe :)

i think of a number multiply it by 3 and subract 2 . The result is 14​

Answers

Answer:

5.3

Step-by-step explanation:

Answer:

The answer is 5.3

Step-by-step explanation:

5.3x3-2= 13.9 but when you round its 14


Given the fractions 8/15 and 18/35, find the largest number that these fractions can be divided by, so that the quotient will be a whole number.

Answers

Answer:

Therefore the largest number that these fractions can be divided by to give them a whole number is

a) 8/15 = The largest number is 8/15

b) 18/35 = The largest number is 18/35

Step-by-step explanation:

A quotient is the result obtained by dividing two numbers.

So that the quotient obtained is a whole number we have to find out, what number they can be divided by to give them that.

Let's assume the whole number is 1

a. 8/15

8/15 ÷ x = 1

8/15 × 1/x = 1

8/15x = 1

We would cross multiply

8 = 15x

We would divide both sides by 15

8/ 15 = x

Hence the largest number that would divide 8/15 and give it a whole number = 8/15

b) 18/35

18/35÷ x = 1

18/35 × 1/x = 1

18/35x = 1

We would cross multiply

18 = 35x

We would divide both sides by 35

18/ 315 = x

Hence the largest number that would divide 18/35 and give it a whole number = 18/35

Answer:

The answer is 2/105

Step-by-step explanation:

first we have to find the LCM of both denominators. IN this case, the LCM of 15 and 35 is 105. Then we have to find the GCF of these numerators. IN this case, the GCF of 8 and 18 is 2.

Now, put the GCF you found over the LCM.

ANSWER: 2/105

This fraction is the largest number you can divide both numbers by to get a whole number.


What is 9.9581 rounded to the nearest thousandth?

Answers

Answer:

9.958

Step-by-step explanation:

The thousandths spot is where the 8 is so you round 8 with the number behind it 1. Since 1 is below 5, you keep 8 the same and get rid of the 1.

Answer:

9.958

Step-by-step explanation:

find the number in the thousands place, 8 and then look 1 place to the right for the rounding digit 1. Round up if this number is greater than or equal to 5 and round down if it is less then 5.

kaya has $25 left over after the football game she spent $17 for her ticket. She then bought a hat for $11 how much money did kaya bring to the football game

Answers

Kaya brought $53 to the football game

Find the volume of this figure.
12 m
6 m
6m​

Answers

Answer:

432

Step-by-step explanation:

To get volume you need to multiply all of the numbers together (Length, height, and width). You need to multiply 6 and 6 (You get 36) and multply the answer by 12 to get 432.

Hope this helps!

(Also can I get Brainliest? Please?)

{(0, 2), (3, 3), (8, 7), (2, 2), (3,9) }
What is the domain and range for each set of ordered pairs

Answers

Hey!!!

Here's your answer:

Domain:{(0,2,3,8)}Range:{(2,3,7,9)}

Hope it will help u.

have a great day .....

Find two numbers, if their sum is 49 and their difference is 1/2 .
This question is for my little sister who needs help with her Math.
I'm too busy to help.

Answers

Answer: 49.5 and -0.5

Step-by-step explanation:

a  + b =49

a -  b = 0.5

a= 49.5

b= -0.5

The two numbers are approximately 24.25 and 24.75.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

Let's call the two numbers x and y.

According to the problem, we have two equations:

x + y = 49 (since their sum is 49)

x - y = 1/2 (since their difference is 1/2)

We can solve this system of equations using the method of substitution.

First, we can rearrange the second equation to solve for one of the variables in terms of the other:

x - y = 1/2

x = y + 1/2

Now we can substitute this expression for x into the first equation:

(y + 1/2) + y = 49

2y + 1/2 = 49

2y = 48.5

y = 24.25

Now we can use this value of y to solve for x:

x = y + 1/2 = 24.25 + 1/2 = 24.75

Therefore, the two numbers are approximately 24.25 and 24.75.

Learn more about algebra here:

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i dont know how to do this if someone could show me how and what the answer is

Answers

Answer:

It is A because due to the slope it is a parallelogram.

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!

Answers

Answer:

the right answer is : A

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

im smort

Find the area of the shaded regions:
The pink is the shaded region.

Answers

40π

You dont need paper hw since we're in quarantine

Answer:40

Step-by-step explanation:

Find the surface area.

Any help will be appreciated thank you

Answers

Answer:

Find the area of the shape

First the two triangles

3 x 4 = 12 so the area of both triangles is twelve

Now it is only 1 big rectangle left

The side lengths can be added 3 + 4 + 5 = 12

12 x 11 = 132

132+12=144

144 is the surface area/area

If you have any questions please ask

Step-by-step explanation:

Segment Line segment X Y is dilated using a scale factor of Two-thirds through P. Which segment shows the correct result of the dilation?

Answers

Answer:

We need the segments but which ever one has the segment that is 2/3 times the length of segments xy

Step-by-step explanation:

Answer: line c

Step-by-step explanation: I got it correct

Please can people help??!!
Photo below

Answers

i think this is the method for solving it

Solve the equation for x, and enter your answer below.

10x - 15x + 5= -45 + 40

Answers

Answer: x = 2

Step-by-step explanation:

[tex]10x - 15x + 5= -45 + 40[/tex]

subtract 5

[tex]10x - 15x= -45 + 40-5[/tex]

Combine like terms;

[tex]-5x=-10[/tex]

Divide by -5

[tex]x=\frac{-10}{-5}\\ x=2[/tex]

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

[tex]10x - 15x + 5 = - 45 + 40 \\ 10x - 15x = - 5 - 45 + 40 \\ - 5x = - 10 \\ \frac{ - 5x}{ - 5} = \frac{ - 10}{ - 5} \\ x = 2[/tex]

7. What is the value of the expression 3(2 - 7)​

Answers

Answer:

-15

Step-by-step explanation:

3(2 - 7)​

PEMDAS says parentheses first

Subtract

3 (-5)

Multiply

-15

The answer is -15 :)

What is the equation of the following line? Be sure to scroll down first to see all answer options.

A. y = 3x
B. y = x
C. y = 2x
D. y = -1/3x
E. y = -3x
F. y = 1/3x

Answers

choice D: y=-1/3x
explanation:




Tanya has a garden with a trench around it. The garden is a rectangle with length 212m2 \dfrac12 \text{m} 2 2 1 ​ m 2, start fraction, 1, divided by, 2, end fraction, start text, m, end text and width 2 m2 \text{ m} 2 m 2, start text, space, m, end text . The trench and garden together make a rectangle with length 312m3 \dfrac12 \text{m} 3 2 1 ​ m 3, start fraction, 1, divided by, 2, end fraction, start text, m, end text and width 3 m3 \text{ m} 3 m 3, start text, space, m, end text . Find the area of just the trench.

Answers

Answer:

[tex]9 \dfrac12 m^2[/tex]

Step-by-step explanation:

Tanya has a garden with a trench around it.

Tanya's garden is a rectangle with length [tex]\dfrac12 \text{m}[/tex] and width 2m.

The trench and garden together make a rectangle with length [tex]3 \dfrac12 \text{m}[/tex] and width 3m.

We are to determine the area of just the trench.

Area of just the trench = Area of the trench and garden together-Area of the garden

[tex]=(3 \dfrac12 X 3)-(\dfrac12 X 2)\\\\=( \dfrac72 X 3)-1\\\\=\dfrac{21}{2}-1\\\\=9 \dfrac12 m^2[/tex]

The area of the trench is [tex]9 \dfrac12 m^2[/tex]

There is a unique positive real number x such that the three numbers
log82x, log4x and log2x, in that order, form a geometric progression with a positive common ratio.
The number x can be written as m/n, where m and n are relatively prime positive integers.
Find m+n.

Answers

Answer: 17  

Step-by-step explanation:

If the log82x, log4x and log2x, in that order, form a geometric progression with a positive common ratio.

Let a = log82x, b = log4x and c = log2x

If a = log8 2x; 8^a = 2x... (1)

If b = log4 x; 4^b = x ... (2)

If c = log2 x; 2^c = x...(3)

Since a, b c are in GP, then b/a = c/b

Cross multiplying:

b² = ac ...(4)  

From eqn 1, x = 8^a/2

x = 2^3a/2

x = 2^(3a-1)

From eqn 2; x = 4^b

x = 2^2b

From eqn 3: x = 2^c

Equating all the values of x, we have;

2^(3a-1) = 2^2b = 2^c

3a-1 = 2b = c

3a-1 = c and 2b = c

a = c+1/3 and b = c/2  

Substituting the value of a = c+1/3 and b = c/2 into equation 4 we have;

(c/2)² = c+1/3×c

c²/4 = c(c+1)/3

c/4 = c+1/3

Cross multiplying;

3c = 4(c+1)

3c = 4c+4

3c-4c = 4

-c = 4

c = -4  

Substituting c = -4 into equation 3 to get the value of x we have;

2^c = x

2^-4 = x

x = 1/2^4

x = 1/16    

Since the number x can be written as m/n, then x = 1/16 = m/n

This shows that m = 1, n = 16

m+n = 1+16

m+n = 17  

The required answer is 17.  

The value of m+n in which m and n are relatively prime positive integers is 17.

What is geometric sequence?

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

There is a unique positive real number x such that the three numbers log82x, log4x and log2x, in that order, form a geometric progression with a positive common ratio. The progression is,

[tex]\log_82 x,\log_4x, \log_2x[/tex]

The above numbers are in geometric progression. Thus, the ratio of first two terms will be equal to the ratio of next two terms as,

[tex]\dfrac{\log_4x}{\log_82x}=\dfrac{\log_2x}{\log_4x}\\(\log_4x)^2={\log_2x}\times{\log_82x}\\[/tex]

Using the base rule of logarithmic function,

[tex]\left(\dfrac{\log x}{\log 4}\right)^2=\dfrac{\log x}{\log2}\times\dfrac{\log2x}{\log8}\\\left(\dfrac{\log x}{\log 2^2}\right)^2=\dfrac{\log x}{\log2}\times\dfrac{\log2x}{\log2^3}[/tex]

Using the Power rule of logarithmic function,

[tex]\left(\dfrac{\log x}{2\log 2}\right)^2=\dfrac{\log x}{\log2}\times\dfrac{\log2x}{3\log2}\\\dfrac{\log x}{4}=\dfrac{\log 2+\log x}{3}\\3\log x=4(\log2x)\\\log x^3=\log(2x)^4\\x^3=16x^4\\x=\dfrac{1}{16}[/tex]

The number x can be written as

[tex]\dfrac{m}{n}[/tex]

Here, m and n are relatively prime positive integers. Thus, the value of m+n is,

[tex]m+n=1+16=17[/tex]

Hence, the value of m+n in which m and n are relatively prime positive integers is 17.

Learn more about the geometric sequence here;

https://brainly.com/question/1509142

A ski run is 1000 yards long with a vertical drop of 208 yards. Find the angle of depression from the top of the ski run to the bottom.

Answers

Answer:

angle of depression = -12 degrees

Step-by-step explanation:

Sin = opposite/hypotenuse

sin = -208/1000

inv sin 0.208 = -12

To solve this problem, we just need to use trigonometric ratio and use the ratio that best fits this problem. The angle of depression is equal to 76.23 degrees.

Trigonometric Ratio

Using SOHCAHTOA, we can easily solve this problem, but we need to first know which ratio to use

Data;

opposite (ski run) = 1000 yardsadjacent (vertical drop) = 208 yards

since we have the value of opposite and adjacent, we can solve this using the tangent of the angle

[tex]tan\theta = \frac{opposite}{adjacent} \\tan \theta = \frac{1000}{208} \\tan\theta = 4.807\\\theta = sin^-^1 (4.0807)\\\theta = 76.23^0[/tex]

From the calculation above, the angle of depression is equal to 76.23 degrees.

Learn more on angle of depression here;

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I need help ASAP, would really appreciate it, marking first as brainliest.

Answers

iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Answer:

A and B

Step-by-step explanation:

The lines are both in slope intercept form:

y=Mx+b

Where m is the slope and b is the y intercept.

We have 2 lines:

y=1/3x+3

y=1/3x-2

1/3 is the coefficient of x, which means the slope is 1/3. Both of these lines have the same slope of 1/3. Since they both have the same slope, they are also parallel lines.

Therefore, A: the same slopes and B: parallel lines is correct.

In the photo, the red line is 1/3x+3 and the blue like is 1/3x-2

Someone help me pleaseeeee

Answers

Answer:

36°.

Step-by-step explanation:

To find this, we will simply need to know that the sum of the angles of a triangle is 180°. This means that in order to find the measure of the third angle, we will need to subtract the others from 180°.

180 - 99 - 45 = 36°.

The measure of the third angle is 36°.

I don’t understand this question. Can anyone help? I need answers ASAP. Thanks for all the help

Answers

There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)

There's no solution to this particular system because the two lines are parallel.

How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.

The line on the left passes through the points (-1, 0) and (0, -2), so it has slope

(-2 - 0)/(0 - (-1)) = -2/1 = -2

The line on the right passes through (0, 2) and (1, 0), so its slope is

(0 - 2)/(1 - 0) = -2/1 = -2

The slopes are equal, so the lines are parallel.

Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.

If you have 24 square tiles, how many different rectangles can you make? Each rectangle must use all of the tiles and have no holes or gaps. Sketch each rectangle and label its length and width.

Answers

Answer:

4

Step-by-step explanation:

A rectangle has a shorter side and a longer side.

The longer side is called the length and the shorter side is called width.

with the 24 tiles you can make the following rectangles (consider the first number the length and the second number the width, and that each unit represents a tile):

24 x 1

12 x 2

8 x 3

6 x 4

A total of 4 different rectangles.

I am not counting the rectangles than have the same sides shifted, for example 2 x 12 because it is the same as 12 x 2 and we are asked for the rectangles to be different.

I attache an image of the sketch of each rectangle with the labels of length and width (not to scale).

Write the equation of a line that passes through the point (4, 2) and is parallel to the line graphed below.

Answers

Answer:

Step-by-step explanation:

(-2, 2)   (2, -3)

(-3 - 2)/(2 + 2)

-5/4 the slope

y - 2 = -5/4(x + 2)

y - 2 = -5/4x - 5/2

y- 4/2 = -5/4x - 5/2

y = -5/4x - 1/2

Enrique collected 7 more than 2 times as many recyclable bottles as Natasha. Write an expression for the number of bottles they collected altogether

Answers

Answer:

12

Step-by-step explanation:

because 7x2 is 12

Answer:

3n+7

Step-by-step explanation:

Let's say the variable n stands for how many recyclable bottles Natasha collected.

Enrique collected 7 more than double of what Natasha has.

SO

2n+7

We also need to include Natasha's share

(2n+7) + n

OR 3n+7

HELP!!! Cumulative Exam!! Which is the simplified form of m Superscript negative 8 p Superscript 0? StartFraction 1 Over m Superscript 8 Baseline p EndFraction StartFraction 1 Over m Superscript 8 EndFraction StartFraction p over m Superscript 8 EndFraction m Superscript 8

Answers

Answer:

(B)[tex]\dfrac{1}{m^8}[/tex]

StartFraction 1 Over m Superscript 8 EndFraction

Step-by-step explanation:

We want to find the simplified form of: [tex]m^{-8}p^0[/tex]

[tex]m^{-8}p^0=m^{-8}$ X p^0\\p^0=1\\m^{-8}=\frac{1}{m^8} \\$Therefore:\\m^{-8}$ X p^0=\dfrac{1}{m^8} X 1\\=\dfrac{1}{m^8}[/tex]

The correct option is B.

Answer:

I am 80% sure its 1 if not then its 1/p

Step-by-step explanation:

A shelf at a grocery store contains 500 packages of corn and flour tortillas. If 22% of the packages are flour tortillas how many packages are corn tortillas

Answers

This one is an easy one

500x22%
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