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katovenus [111]
2 years ago
7

A pitcher of water at 40 degrees Fahrenheit is placed into a 70 degree room. One hour later, the temperature has risen to 45 deg

rees. How long will it take for the temperature to rise to 60 degrees?
Mathematics
1 answer:
solong [7]2 years ago
8 0

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

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112 students. divide 42 by 37.5%
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What is 12(x+9)=-108
valkas [14]

Answer is Provided in the image attached.

6 0
2 years ago
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Factor of x^3-x^2-24x-36
Basile [38]
The trial and error method is used to find an initial factor:
If we let f(x) = x³ - x² - 24x - 36 and all we have to do is sub' in values of x until
f(x) = 0, we can use this to find an initial factor by the factor theorem:
f(1) = (1)³ - (1)² - 24(1) - 36 = -60
f(2) = (2)³ - (2)² - 24(2) - 36 = -80
f(5) = (5)³ - (5)² - 24(5) - 36 = -56
*** f(6) = (6)³ - (6)² - 24(6) - 36 = 0 ***

f(6) = 0 so (x - 6) is a factor of f(x).
This means that: f(x) = x³ - x² - 24x - 36 = (x - 6)(ax² + bx + c).
To find a,b and c, use long division (or inspection) to divide x³ - x² - 24x - 36 by x - 6.
The other 2 factors of f(x) can then be found by factorizing the
ax² + bx + c quadratic the way you would with any other quadratic (i.e. by quadratic formula, CTS or inspection).
5 0
3 years ago
A counter top is 18 feet long and 3 feet wide. What is the area of the counter top in square meters? Use the conversion 1 foot =
podryga [215]

Answer:

Area of the counter top is 5.02\ m^2.

Step-by-step explanation:

Given:

Length of the Counter top = 18 feet

Width of the counter top = 3 feet

We need to find the area of the counter top is square meter;

Solution:

Now we need to find the area of the counter top is square meter.

But given data is in feet so we will first convert feet into meters.

1 foot = 0.305 meter.

So 18 feet = Number of meters in 18 feet.

By Using Unitary method we get;

Number of meters in 18 feet = 18\times 0.305 = 5.49\ m

Length of the Counter top = 5.49 m

Also 3 feet = Number of meters in 3 feet.

Again Using Unitary method we get;

Number of meters in 3 feet = 3\times 0.305 = 0.915\ m

Width of the counter top = 0.915 m

Now we know that;

Area of the counter top can be calculated by multiplying Length of the counter top with width of the counter top.

framing in equation form we get;

Area of the counter top = 5.49\times 0.915 = 5.0233\ m^2

Rounding up to 2 decimals we get;

Area of the counter top =  5.02\ m^2

Hence Area of the counter top is 5.02\ m^2.

3 0
3 years ago
Find the distance between the two points in simplest radical form.<br> (1, -7) and (7,0)
denis23 [38]

Answer:

The <u>distance</u> <em>between</em> the two given points is equal to √85.

Step-by-step explanation:

Let's recall what the distance formula is:

\displaystyle \huge\math\boxed{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} }

We are defined our two points as:

  • (x₁, y₁) → (1, -7)
  • (x₂, y₂) → (7, 0)

We can rewrite this into our different "variables":

  • x₁ = 1
  • y₁ = -7
  • x₂ = 7
  • y₂ = 0

Now given our distance formula and our variables, we can find the distance between the two points:

\displaystyle\huge\begin{aligned}d & = \sqrt{(1 - 7)^2 + (7 - 0)^2} \\& = \sqrt{(-6)^2 + (7)^2} \\& = \sqrt{36 + 49} \\& = \math\boxed{\sqrt{85}} \\\end{aligned}

∴ since the radical is already in its simplest form, our distance between the two points is equal to √85.

Hope this helps!

5 0
2 years ago
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