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3 years ago

Omarion has 9/10 of pages in a book remaining to read for school. He reads 2/3 of the remaining pages over the weekend. What fra

ction of the book does Omarion trad over the weekend?B

Mathematics

1 answer:

eduard3 years ago

4 0

$\frac{9}{10} \times \frac{2}{3} = \frac{3\times 3}{2\times 5} \times \frac{2}{3} = \boxed{\frac{3}{5}}$

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Which transformation should be applied to the graph of the function y=cot(x) to obtain the graph of the function y=6 cot(3x-pi/2

laila [671]

Given the graph of $y=\cot x$ , horizontally stretching the graph by a factor of 3 (i.e. reducing the period of the graph or increasing the number of turns in a given interval by a factor of 3) gives the graph $y=\cot3x$ .

Now, shifting the graph by $\frac{\pi}{2}$ units to the right gives the graph of $y=\cot\left(3x- \frac{\pi}{2} \right)$ and vertically stretching the graph by a factor of 6 (i.e. increasing the height of each point on the graph by a factor of 6 relative to the original position) gives the graph of $y=6\cot\left(3x- \frac{\pi}{2} \right)$

Finally, shifting the graph by 4 units up gives the graph of $y=6\cot\left(3x- \frac{\pi}{2} \right)+4$

4 0

4 years ago

Area = 300 square feet

m_a_m_a [10]

Answer:

$Length=24.32$ feet

$width=12.32$ feet

Step-by-step explanation:

Let x be the width of a rectangle

Let l be the length of a rectangle

Let A be the area of rectangle

Given.

Length must be 12 feet longer than width

therefore

$Length=12+w$

$l=12+w$

Area of rectangle

$A=300$

We know that area of rectangle is

$A=l\times w$ ---------------------(1)

put all known values in equation 1

$300=(12+x)\times x$

$x^{2} +12x=300\\x^{2} +12x-300=0$

Find roots by this formula

$=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$

$=\frac{-12\pm\sqrt{12^{2}-4(1)(-300)}}{2(1)}$

$=\frac{-12\pm\sqrt{1344}}{2}$

$x=-6+4\sqrt{21} \\x=-6-4\sqrt{21}$

$x=12.32\\x=-24.32$

check both value in equation 1

for $x=12.32$

$A=(12+12.32)\times 12.32$

$A=299.62$

$x=12.32$ is satisfy the equation

So The length of rectangle $l=12+12.32$ =24.32 feet

And width is 12.32 feet

3 0

4 years ago

Claudia is making a candle by pouring melted wax into a mold in the shape of a cylinder. The radius of the cylinder’s base is 4

shusha [124]

17 wax cubes with volume of 27 cm³ each would be needed to make the candle with a volume of 452.16 cm³

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Volume of cylinder = π * radius² * height

Volume = π * 4² * 9 cm = 452.16 cm³

Volume of the cube = 3 cm * 3 cm * 3 cm = 27 cm³

Number of cubes needed = 452.16 cm³ / 27 cm³ = 16.75

17 wax cubes with volume of 27 cm³ each would be needed to make the candle with a volume of 452.16 cm³

Find out more on equation at: brainly.com/question/2972832

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6 0

2 years ago

The line has the same slope as 3x-y=5 and the same y-intercept as the graph of 4y-7x=16

ArbitrLikvidat [17]

Well standard form is Ax+By=C, so just move the -7x to the front so -7x+47=16

3 0

3 years ago

I wanna know the answer and steps to how to do this

Elanso [62]

Recognize that the triangle is isosceles, so the two side lengths are equal.

b = 2√2

Recognize it is a right triangle, so you can use the Pythagorean theorem to compute the length of "a".

a^2 = (2√2)^2 +(2√2)^2
a^2 = 8 +8 = 16
a = √16
a = 4

7 0

3 years ago