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3 years ago

What is the sum of all even numbers between 1 and 1000

1 answer:

4 0

There are 500 even numbers from 1 to 1000 starting with 2 and ending with 998. The sequence of even numbers is an arithmetic sequence with a common difference of 2. Using the equation for the arithmetic series,

S = (a1 + an)(n/2)
and substituting,

S = (2 + 998)(500/2)
we get,

S = 250,000

Therefore, the sum of all even numbers between 1 and 1000 is 250,000.

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Convert 1 cal/(m^2 * sec * °C) into BTU/(ft^2 * hr * °F)

Crazy boy [7]

Answer:

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Step-by-step explanation:

To find : Convert $1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}$ into $\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Solution :

We convert units one by one,

$1\text{ m}^2=10.7639\text{ ft}^2$

$1\text{ sec}=\frac{1}{3600}\text{ hour}$

$1\text{ cal}=0.003968\text{ BTU}$

Converting temperature unit,

$^\circ C\times \frac{9}{5}+32=^\circ F$

$1^\circ C\times \frac{9}{5}+32=33.8^\circ F$

So, $1^\circ C=33.8^\circ F$

Substitute all the values in the unit conversion,

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=\frac{0.003968}{10.7639\times \frac{1}{3600}\times 33.8}\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=\frac{0.003968}{0.101061}\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Therefore, The conversion of unit is $1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

3 0

3 years ago

Can a trapezoid have four obtuse angles

Pavel [41]

The four angles inside EVERY four-sided figure add up to 360 degrees, no matter what the shape of the figure is.

"Four obtuse angles" means "four angles of more than 90 degrees each".

(four times more-than-90) = more than 360

so NO 4-sided figure can have four obtuse angles inside it.

4 0

3 years ago

Read 2 more answers

A cheetah can run 70 miles per hour. What is this speed in feet per hour

GarryVolchara [31]

If I am correct the answer is 369,600 feet per hour.

7 0

3 years ago

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Cheyanne plans to put $150 into a savings account. She can place her money into an account represented by f(x) = 5x+150, or into

stepan [7]

In order to calculate the amount, we simply substitute the number of years into x in both equations.
After 3 years:
f(3) = 5(3) + 150
= $165
g(3) = 150 * 1.03⁽³⁾
= $163.90
After 10 years:
f(10) = 5(10) + 150
= $200
g(10) = 150 * 1.03⁽¹⁰⁾
= $201.59
After three years, the first account has more money but after ten years, the second account has more money.

4 0

3 years ago

Which transformation is a isometry?

Lady bird [3.3K]

Answer:

A. The two triangles.

Step-by-step explanation:

Isometry can be divided into two words: iso = same and metry = measure

So, isometry means "same measure".

In this case, that means the transformation didn't change the measures of the object.

In B, they kept the same shape, but not the same side.

In C, you can see the figure has been transformed,.

6 0

3 years ago

Read 2 more answers