All categories

3 years ago

if 4 is subtracted form the half of the square of a natural number, the result is 14, find the numbers

Mathematics

1 answer:

GaryK [48]3 years ago

5 0

Answer:

$Suppose~that~the~natural~number~is~x.\\According~to~question,\\\frac{x^2}{2}-4=14\\or, \frac{x^2}{2}=18\\or, x^2=36\\or, x=+6~or~-6\\x~cannot~be~equal~to~-6~since~it~is~a~natural~number.\\So,~the~required~number~is~6.$

You might be interested in

The polygons in each pair are similar. Find the missing side length / first one has 4 &x and second one has 12&18

sergiy2304 [10]

Answer:

x = 6

Step-by-step explanation:

To find the missing side, write a proportion using side lengths from each similar shape. A proportion is an equation that sets equal two ratios.

$\frac{4}{12}=\frac{x}{18}$

Find x by cross multiplying numerator and denominator of each fraction.

4(18) = 12x

72 = 12x

6 = x

4 0

3 years ago

In a bookcase, there are 7 fiction books for every 5 nonfiction books. There are 72 books in the bookcase. How many nonfiction

Fynjy0 [20]

Answer:

There are 30 nonfiction books.

Step-by-step explanation:

The answer is 30 because 7 plus 5 is 12 and 72 divided by 12 is 6 and 6 times 5 is 30.

P.S Can I have brainliest?

7 0

3 years ago

Hector and his brother, Lee, collect toy cars. Hector has c cars, where c > 10. Lee has 35% more cars than Hector, but he don

son4ous [18]

Answer:

b) c + 0.35c − 10

Step-by-step explanation:

3 0

3 years ago

Expres each of the folowing as a single matrix.

Elden [556K]

Answer:

$\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]+\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]=\left[\begin{array}{cc}4&5\\13&-13\end{array}\right]$

Step-by-step explanation:

If you have two matrices:

$A=\left[\begin{array}{cc}a&b\\c&d\end{array}\right]\\and\\B=\left[\begin{array}{cc}e&f\\g&h\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}a+e&b+f\\c+g&d+h\end{array}\right]$

We have:

$A=\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]\\and\\B=\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]$

And we need to express as a single matrix:

$A+B=\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]+\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}6+(-2)&-3+8\\10+3&-1+(-12)\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}6-2&5\\13&-1-12\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}4&5\\13&-13\end{array}\right]$

The answer is:

$\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]+\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]=\left[\begin{array}{cc}4&5\\13&-13\end{array}\right]$

It is expressed as a single matrix.

8 0

3 years ago

The table below shows the temperature in degrees for eight consecutive days as well as the respective number of ice cream cones

cricket20 [7]

Answer:

We have to find the equation of least squares regression line in order to find the number of ice cream cones that the shopkeeper to sell if the temperature is 106 degrees. We can use excel regression data analysis tool to find the equation of the regression line. The excel output is attached here.

The equation of the least squares regression line is:

$\hat{y}=46.587+5.080x$

Now, if the temperature is 106 degrees, then the number of cones expected to be sold is given below:

$\hat{y}=46.587+5.080 \times 106$

$=585.1 \approx 585$

Therefore, the number of ice cream cones that the shopkeeper would expect to sell if the temperature is 106 degrees is 585.

6 0

3 years ago

if 4 is subtracted form the half of the square of a natural number, the result is 14, find the numbers​

if 4 is subtracted form the half of the square of a natural number, the result is 14, find the numbers