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3 years ago

Estimate square root 241 to the nearest whole number.

Mathematics

2 answers:

marusya05 [52]3 years ago

6 0

200 if I’m correct mark me as a brainlist thanks!

Pachacha [2.7K]3 years ago

5 0

Answer: its 15

Step-by-step explanation:

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Casey paid $32 for a book that was on a sale at 20% off. What was the original price for that book?

Elis [28]

Answer:

$40

Step-by-step explanation:

If it was 20% off, you are paying 80% of the original price.

So .80 * Original price = $32

32/.8 = 40

8 0

3 years ago

Read 2 more answers

What is the volume??????

Ugo [173]

Answer:

$36\:\mathrm{in^3}$

Step-by-step explanation:

The area of a prism is given by the product of the base and the height. In this triangular prism, the area of the either base is:

$A=\frac{1}{2}\cdot 3\cdot 4=6\:\mathrm{in^2}$

The height is marked as $6$ inches. Thus, the volume of the prism is:

$\frac{1}{2}\cdot 3\cdot 4\cdot 6=\boxed{36\:\mathrm{in^3}}$

7 0

3 years ago

Read 2 more answers

Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y1 = x2 + 2x + 3 y2 = 2x + 12F

Svet_ta [14]

Answer:

$A = \int\limits^3__-3}{9}-{x^{2}} \, dx = 36$

Step-by-step explanation:

The equations are:

$y = x^{2} + 2x + 3$

$y = 2x + 12$

The two graphs intersect when:

$x^{2} + 2x + 3 = 2x + 12$

$x^{2} = 0$

$x_{1} = 3\\x_{2} = -3$

To find the area under the curve for the first equation:

$A_{1} = \int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

To find the area under the curve for the second equation:

$A_{2} = \int\limits^3__-3}{2x + 12} \, dx$

To find the total area:

$A = A_{2} -A_{1} = \int\limits^3__-3}{2x + 12} \, dx -\int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

Simplifying the equation:

$A = \int\limits^3__-3}{2x + 12}-({x^{2} + 2x + 3}) \, dx = \int\limits^3__-3}{9}-{x^{2}} \, dx$

Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).

3 0

2 years ago

Simplify: x2 + 5x + 6(x + 3) x 42x + 4<br> 4<br> 2<br> 2(x + 2)<br> (x + 2)

Andreyy89

252x squared + 763x + 4

5 0

2 years ago

Read 2 more answers

Write the slope-intercept form of the equation of each line.

gregori [183]

Greetings!

Answer:

2y = x - 6

Step-by-step explanation:

First, we must find the slope of the current equation.

This is the number in front of the x.

Seeing as this is -2x, the slope of this line is -2

When finding the slope of a line perpendicular, you need to find the $\frac{-1}{slope}$

So, in this case it is:

$\frac{-1}{-2}$

The negatives cancel out which leave $\frac{1}{2}$

So the gradient is $\frac{1}{2}$

Now, to find the equation of a line, you need to use:

y - y1 = m(x - x1)

Where ya and x1 are the values in the coordinates (2 , -2)

So y1 = -2, x1 = 2, and m is a half. Plug these values in:

y - - 2 = $\frac{1}{2}(x - 2)$

We need to get rid of the half so we multiply the whole equation by 2:

2y - - 4 = (x - 2)

The minus and the negative turn into a positive:

2y + 4 = x - 2

And now simply move the +4 over to the other side, making it a negative:

2y = -2 - 4 + x

Simplify:

2y = x - 6

<h3>So the equation of the line is 2y = x - 6</h3>
<h2>Hope this helps!</h2>

5 0

3 years ago