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3 years ago

Express the following quantities as ordinary decimal numbers: (use solution)

Mathematics

1 answer:

MissTica3 years ago

6 0

Step-by-step explanation:

$6.130 \times {10}^{9} = 9130000000$

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ANSWER ASAP PLEASE IM BEING TIMED I WILL GIVE BRAINLIESTTTT

stiv31 [10]

Answer:

3 y ( 2 x − 1 ) ( x − 4 y )

Step-by-step explanation:

3 0

2 years ago

3x+1/5 y= 7 solve for x

TiliK225 [7]

X = -1/15y+7/3

I hope this helps! :>

4 0

3 years ago

Read 2 more answers

RoseWind [281]

Given -

the diameter of a semicircle is 6 yards.

ie. d = 6yd

ps - use 3.14 for a

To find -

the semicircle's perimeter

Solution -

As we know the formula to find the perimeter of the semicircle is 2r + πr.

But A.T.Q we are only provided with the diameter. As we know that the radius is half of the diameter. ie, r = d/2.

Hence, d = 6

r = 6/2

r = 3 yd

Perimeter of semicircle = 2r + πr

Perimeter of semicircle = 2(3) + 3.14(3)

Perimeter of semicircle = 15.42 yd

Hence forth the semicircle's perimeter is 15.42 yd

6 0

2 years ago

Read 2 more answers

If dy dx equals cosine squared of the quantity pi times y over 4 and y = 1 when x = 0, then find the value of x when y = 3.

Afina-wow [57]

Answer: $x = -\frac{8}{\pi}$

Explanation: Note that

$\frac{dy}{dx} = \cos^2 \left ( \frac{\pi y}{4} \right )
\\
\\ \frac{dy}{\cos^2 \left ( \frac{\pi y}{4} \right )} = dx
\\
\\ \int{\frac{dy}{\cos^2 \left ( \frac{\pi y}{4} \right )}} = \int dx
\\
\\ \boxed{x = \int{\sec^2 \left ( \frac{\pi y}{4} \right )dy}}$

To evaluate the integral in the boxed equation, let $u = \frac{\pi y}{4}$ . Then,

$du = \frac{\pi}{4} dy 
\\ \Rightarrow \boxed{dy = \frac{4}{\pi}du}$

So,

$x = \int{\sec^2 \left ( \frac{\pi y}{4} \right )dy}
\\
\\ = \int{\sec^2 u \left ( \frac{4}{\pi}du \right )}
\\
\\ = \frac{4}{\pi}\int{\sec^2 u du}
\\
\\ = \frac{4}{\pi} \tan u + C
\\
\\ \boxed{x = \frac{4}{\pi} \tan \left ( \frac{\pi y}{4} \right ) + C}\text{ (1)}$

Since y = 1 when x =0, equation (1) becomes

$0 = \frac{4}{\pi} \tan \left ( \frac{\pi (1)}{4} \right ) + C 
\\ 
\\ 0 = \frac{4}{\pi} (1) + C 
\\
\\ \frac{4}{\pi} + C = 0
\\
\\ \boxed{C = -\frac{4}{\pi}}$

With the value of C, equation (1) becomes

$\boxed{x = \frac{4}{\pi} \tan \left ( \frac{\pi y}{4} \right ) -\frac{4}{\pi} }$

Hence, if y = 3,

$x = \frac{4}{\pi} \tan \left ( \frac{\pi y}{4} \right ) -\frac{4}{\pi} 
\\
\\ x = \frac{4}{\pi} \tan \left ( \frac{\pi (3)}{4} \right ) -\frac{4}{\pi} 
\\
\\ x = \frac{4}{\pi} (-1) -\frac{4}{\pi} 
\\
\\ \boxed{x = -\frac{8}{\pi}}$

6 0

3 years ago

Triangle EFG is graphed below. If the triangle is translated 4 units to the right and 3 units down, what will be the coordinates

noname [10]

Answer:

A) (3,-2)

Step-by-step explanation:

A) (3,-2)

5 0

3 years ago