A pitcher of water at 40 degrees Fahrenheit is placed into a 70 degree room. One hour later, the temperature has risen to 45 degrees. How long will it take for the temperature to rise to 60 degrees?

Answers

Answer 1

Answer:

3 hours

Step-by-step explanation:

The difference between the initial temperature and the temperature after an hour is an increase of 5 degrees. Since we need to calculate the time it would take for the temperature to rise to 60 degrees we need to find the difference in degrees from the current temperature to 60 degrees.

60 - 45 = 15 degrees

Since 1 hour equals an increase of 5 degrees we need to divide 15 by 5 to calculate how many hours before the temperature increases to 60 degrees

15 / 5 = 3 hours

Answer 2

It will take 3 hours for the temperature to rise to 60 degrees.

Represent time with x, and the temperature with y.

So, the given parameters can be represented using the following ordered pairs

(x,y) = (0,40) (1, 45), (x,60)

Start by calculating the slope using:

[tex]m = \frac{y_2-y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{45 -40}{1-0}[/tex]

[tex]m = 5[/tex]

Calculate the slope again, using a different set of points.

So, we have:

[tex]m = \frac{60 - 45}{x - 1}[/tex]

This gives

[tex]m = \frac{15}{x}[/tex]

Multiply both sides by x

[tex]mx = 15[/tex]

Divide both sides by m

[tex]x = \frac{15}m[/tex]

Substitute 5 for m

[tex]x = \frac{15}5[/tex]

[tex]x = 3[/tex]

Hence, it will take 3 hours for the temperature to rise to 60 degrees.

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Related Questions

Raven jogged 1/4 mile and walked 2/3 mile to cool down. How far did she travel

Answers

Answer:

I need Help on this one too.

Step-by-step explanation:

Answer:

8/12 or 3/4 of a mile

Step-by-step explanation:

The Boyle family drove at an average speed of 60 miles per hour. They drove for 4 hours. How far did the Boyle family drive?

A
15 miles

B
56 miles

C
64 miles

D
240 miles

Answers

Answer:

D - 240 miles

Step-by-step explanation:

. because if you if you multiply 60 x 4 it would be 240.

students are trying to raise 250 for the track club. they have already made $50. how much do they need to earn to meet their goal?

Answers

Answer:

$200

Step-by-step explanation:

Answer:

$200

Step-by-step explanation:

$250 - $50 = $200

A student club spends $78 to buy candy bars and sells them for $3 each to raise money. Construct an equation that models profit or loss for selling a given number of candy bars.​

Answers

Answer: 3x - 78

Step-by-step explanation:

Profit or loss is gotten when the cost is subtracted from the revenue. In this situation, the revenue is given as $78.

Let the total number of candy bars bought be x. Since they are sold at $3 each, all the candy bars will cost 2x.

Profit/Loss = Revenue - Cost

= 3x - 78

If we get a negative value, that's a loss and a positive value denotes profit

Determine how (if possible) the triangles can be proven
similar. HELP ASAP!! have to show work as well

Answers

Answer:

c i think

Step-by-step explanation:

What kind of numbers are to the right of the zero

Answers

Answer:

Positive numbers

Step-by-step explanation:

For example:

-5,-4,-3,-2,-1,0,1,2,3,4,5

The underlined numbers are to the right of zero.(positive)

The bolded are to the left.(negative)

Plot A shows the number of hours ten girls watched television over a one-week period. Plot B shows the number of
hours ten boys watched television over the same period of time.
Television Viewing Hours for a One-Week Period
Plot A
O
0 1 2 3 4 5 6 7
8
9 10
Plot B
0 1
2
3 4 5
7
8 9 10
Which statement compares the shape of the dot plots?
Mark this and return
Save and Exit
Sun

Answers

Answer:

I think its B

Step-by-step explanation:

fr ee p oint the que stion just here so it doesnt get delet ed.Read the excerpt from "Br uh Lizard and Bru h Rabbit” from The P eople Co uld Fl y.if ka ren had 98 ki ds in her base ment and 78 ki ds dissaper ed how many are left.

Answers

Answer:

20 kids are left

Step-by-step explanation:

easy simple math

Answer:

The amount of kids that are left is simply 20.

In ΔEFG, the measure of ∠G=90°, the measure of ∠E=77°, and GE = 2.6 feet. Find the length of FG to the nearest tenth of a foot.​

Answers

Answer:

FG=11.6 feet

Step-by-step explanation:

cos 77 degrees=2.6/FG (because this is a right triangle)

.22495=2.6/FG

FG=11.558 feet

Answer:

11.3

Step-by-step explanation:

find the area and perimiter of the figure, given that AB is a semi-circle that has the length 24 π cm

Answers

Answer:

Perimeter ≈ 61.68, Area ≈ 226.08

Step-by-step explanation:

The original equations for a regular circle are as follows:

Circumference = 2πr

Area = πr^2

With these in mind, let us continue. We must first find the Circumference and Area of a circle with this radius. To do this we plug in the radius which we can derive from taking the length of the semi-circle. Dividing 24/2 will give us 12 which is the radius. Evaluating both equations with r = 12 and π = 3.14 will give us Area = 452.16 and Circumference = 75.36. Great, we now have the values we need. However, this is for a full circle, and we are trying to solve for a semi-circle. To resolve this, all we have to do is divide the Area by 2 and that will give us half of that circle (the semi-circle). For the Circumference, we divide by 2 as well, but we also must add the diameter which is 24 giving us 226.08, and 61.68 respectively.

What is the vertex of:
y=x^2+10x+26

Answers

Answer:

the vertex is (-5,1)

Step-by-step explanation:

hoped I helped:)

A car travels for 6 hours from Los Angeles to San Francisco at a constant speed (v), in miles per hour. Write an equation that can be used to find the speed of the car (v) if it travels for 380 miles.

Answers

Answer:

Speed = Distance / Time

Speed of the car = 63.33 miles/ hour (Approx)

Step-by-step explanation:

Given:

Number of hours = 6 hours

Total distance = 380 miles

Find:

Speed of the car

Computation:

Speed = Distance / Time

Speed of the car = 380 / 6

Speed of the car = 63.33 miles/ hour (Approx)

A company has increased its number of employees by the same rate each year. How many employees did the company have in 2001?

Answers

Answer:

B.429

Step-by-step explanation:

Answer: 429

Step-by-step explanation:

helppppppppppppppppppppppp​

Answers

Step-by-step explanation:

area of trapezoid=(a+b)×h divided by 2

=(9+19)×4 divided by2

=28×4 divided by2

=112 divided by 2

=56m square

Find an equation of the line parallel to the graph of y = -3x – 11 that passes
through the point of (2, 4). Write your equation in slope-intercept form.

Answers

Answer:

m  =  − 3

Step-by-step explanation:

By visual inspection, determine the best-fitting regression model for the data
plot below.


A. Linear
B. Quadratic
C. No pattern
D. Exponential

Answers

Answer:

The answer is quadratic

Step-by-step explanation:

It is quadratic because the correct answer is quadratic

The graph is showing the quadratic function.

What is Quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of second degree. A quadratic function must have at least one second-degree term. It performs algebraic operations.

As, the linear function have graph consist of straight line.

Then, The quadratic function has the shape of a parabola and has the variable squared.  

and, exponential function have raising curve or falling curve.

As, per the given graph the curve shows parabola which is quadratic in nature.

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Enter the correct answer in the box. What are the solutions of this quadratic equation?
ײ - 6x= -58
Substitute the values of a and b to complete the sonlutions

x= a+bi
x=a -bi​

Answers

Answer:

x = 3 + 7i   or   x = 3 - 7i; a = 3; b = 7

Step-by-step explanation:

x^2 - 6x = -58

We complete the square by adding the square of half of the coefficient of the x-term to both sides.

x^2 - 6x + 9 = -58 + 9

(x - 3)^2 = -49

[tex] x - 3 = \pm 7i [/tex]

x = 3 + 7i   or   x = 3 - 7i

a = 3; b = 7

The required value of a and b for the solution of the given equation is 3 and 7 respectively.

Given that,
To determine the solutions of this quadratic equation x² - 6x= -58 and Substitute the values of a and b to complete the solution.
x= a+bi
x=a -bi​

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
Given equation,
x² - 6x= -58

Completing the square of the above equation by adding and subtracting the square of the half of the coefficient of x.
x² - 6x + 9 - 9 = -58
(x - 3)² = -58 + 9
(x - 3)² = -49
x - 3 = √-49
x - 3 = ±7i
x = 3 ±7i
Now,
The required
a + bi = 3 + 7i
a - bi = 3 - 7i


Thus the required value of a and b for the solution of the given equation is 3 and 7 respectively.

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i giveeeee brainlilsttttt

Answers

Answer:

H maybe

Step-by-step explanation:

Answer:

rrrrrrrrrrrrrrrrergergrgrg

Step-by-step explanation:

rgrgrgrgregr

wdd

piuoliuylili

What is the prime factorization of 75?

Answers

Answer:

3 5^2

Step-by-step explanation:

it is 3 5^2 be cause if you do 3 x 25 or 5 x 15 or 1 x 75 that would =75

There are 25 rows of seats. There are 5 seats in each row. How many
seats are there in all?

Answers

Answer:

looks like 125 seats in total..good luck

Answer:

125 lovely

Hope that helps

How much of the circle is shaded 1/9 and 1/2

Answers

Answer:

4.5 or 4 1/2 they are both the same

Step-by-step explanation:

simple math

A quadrilateral has two angles that measure 190° and 10°. The other two angles are in a ratio of 3:5. What are the measures of those two angles?

Answers

Answer:

60 degrees and 100 degrees

Step-by-step explanation:

360 - (190 + 10) = sum of other two angles

360 - 200 = 160

160/(3+5) = 160/8 = 20

20 × 3 = 60 degrees, 20 × 5 = 100 degrees

Gary is trying to save $60 to buy new parts for his bike. He has saved 45% of
what he needs so far. How much has he saved?
HELP NOW NEED THIS NOW!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Gary need 60 dollars, but he saved only 45%

60*(45/100)=27

he saved only 27 dollars

A phone company is offering several different prepaid data plans.

Prepaid Single Phone Plan⠀⠀⠀⠀⠀Prepaid Family Plan

$30 for 1 GB⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$30 for 1 GB

$35 for 6 GB⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$40 for 6 GB

$45 for 16 GB⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$50 for 16 GB

$65 for Unlimited Data⠀⠀⠀⠀⠀⠀⠀$70 for Unlimited Data

Which of the following deals has the cheapest price per GB?

A. Prepaid Family Plan 1 Person $50 for 16 GB

B. Prepaid Single Phone Plan $45 for 16 GB

C. Prepaid Single Phone Plan $35 for 6 GB

D. Prepaid Family Plan 1 Person $30 for 1 GB

Answers

Answer:

i dont know HI its Prepaid Single Phone Plan $45 for 16 GB

Answer:

Prepaid Single Phone Plan $45 for 16 GB

Step-by-step explanation:

HELLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

8+x>=12
then you move 8 to the right side with different sign and will be:
x>=12-8
x>=4
>= shows you, that it should be full circle and line should go that way >>>>>>>

A stock valued at $100 decreases in value by 9.5% each year? What is the function?

Answers

Answer:

the function is y= 100-0.095x

Step-by-step explanation:

Step one:

given data

A stock valued at $100 decreases in value by 9.5%

let the number of years be x

Step two:

Hence, the rate of decrease is 0.095

therefore the function is

y= 100-0.095x

The function which represents the situation is

[tex]f(x) = 100 - {0.95}^{x} [/tex]

How to write exponential function

original value of stock = $100

Percentage decrease per year = 9.5%

= 9.5/100

= 0.095

Number of years = x

f(x) = 100 - 0.095^x

[tex]f(x) = 100 - {0.95}^{x} [/tex]

Therefore, the function which represents the situation is f(x) = 100 - 0.095^x

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what number is the opposite of 13/5?

Answers

Answer:

-13/-5 is the opposite of 13/5. Hope this helps :)

is a soup bowl a gallon quart pint or cup​

Answers

Answer:

their are different sizes of soup bowls

726 ÷3 use place value disks​

Answers

Hello. I’d you were to divide seven-hundred and twenty six (726) by three (3) You would receive the complete answer being 242. Hope this helps! :)

Answer:

242

Step-by-step explanation:726 divid by 3 is 242

Simplify the following expression.
11 to the 6th power
114 to the 4th power

Answers

Answer:

11^6 = 1,771,561

114^4 = 1.68 x 10^8 or 1.68896e8

Step-by-step explanation:

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