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3 years ago

Plz answer ASAP need help

Mathematics

1 answer:

Aleks04 [339]3 years ago

6 0

Answer:

4 hours

Step-by-step explanation:

Let the number of hours = x.

Jay reads 55 pages per hour, so in x hours, he reads 55x pages.

After reading for x hours, he has 278 - 55x pages left to read.

Odhran reads 45 pages per hour, so in x hours, he reads 45x pages.

After reading for x hours, he has 238 - 45x pages left to read.

Since we want to know when they have the same number of pages left, we set the expressions equal and solve for x.

278 - 55x = 238 - 45x

Add 45x to both sides.

278 - 10x = 238

Subtract 278 from both sides.

-10x = -40

Divide both sides by -10.

x = 4

Answer: 4 hours

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

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Find the equation of the line through point (1,−5) and perpendicular to y=1/8x+2. Use a forward slash (i.e. "/") for fractions (

Masteriza [31]

Answer:

$y = -8x + 3$

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept.

Perpendicular lines:

When two lines are perpendicular, the multiplication of their slopes is -1.

Perpendicular to y=1/8x+2

This line has slope $\frac{1}{8}$

So, for the line we want to find the equation, we have that:

$\frac{m}{8} = -1$

$m = -8$

$y = -8x + b$

Find the equation of the line through point (1,−5)

This means that when $x = 1, y = -5$ . We use this to find b. So:

$y = -8x + b$

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7 0

3 years ago

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BaLLatris [955]

I believe the answer is 17

4 0

3 years ago

Hi! I need help with the attached question in calc. Thank you:)

Elena L [17]

Answer:

3π square units.

Step-by-step explanation:

We can use the disk method.

Since we are revolving around AB, we have a vertical axis of revolution.

So, our representative rectangle will be horizontal.

R₁ is bounded by y = 9x.

So, x = y/9.

Our radius since our axis is AB will be 1 - x or 1 - y/9.

And we are integrating from y = 0 to y = 9.

By the disk method (for a vertical axis of revolution):

$\displaystyle V=\pi \int_a^b [R(y)]^2\, dy$

So:

$\displaystyle V=\pi\int_0^9\Big(1-\frac{y}{9}\Big)^2\, dy$

Simplify:

$\displaystyle V=\pi\int_0^9(1-\frac{2y}{9}+\frac{y^2}{81})\, dy$

Integrate:

$\displaystyle V=\pi\Big[y-\frac{1}{9}y^2+\frac{1}{243}y^3\Big|_0^9\Big]$

Evaluate (I ignored the 0):

$\displaystyle V=\pi[9-\frac{1}{9}(9)^2+\frac{1}{243}(9^3)]=3\pi$

The volume of the solid is 3π square units.

Note:

You can do this without calculus. Notice that R₁ revolved around AB is simply a right cone with radius 1 and height 9. Then by the volume for a cone formula:

$\displaystyle V=\frac{1}{3}\pi(1)^2(9)=3\pi$

We acquire the exact same answer.

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3 years ago