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3 years ago

an owl travels 8 1/3 miles an hour and a seagull travels 12 1/2 miles in 2/3 hour. which animal is faster?

Mathematics

2 answers:

Simora [160]3 years ago

5 0

Seagull because the owl has 5 5/9 and the sea 8 1/3

vivado [14]3 years ago

3 0

Answer:

The seagull

Step-by-step explanation:

12 1/2 miles in 2/3 hour

12.5 × 3/2 = 18.75

2/3 × 3/2 = 1

18.75 mph

8 1/3 mph < 18.75 mph

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A triangle has vertices A(1, 1), B(2, 4), and C(4, 2). Line p is parallel to side AB and contains point C.

kenny6666 [7]

Answer:

$p:y = 3x-10$

Step-by-step explanation:

We are given the following in the question:

A(1, 1), B(2, 4), C(4, 2)

i) Slope of AB

$A(1, 1), B(2, 4)\\\\m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m = \dfrac{4-1}{2-1}=3$

Thus, slope of AB is 3.

ii) Point slope form

The point slope form of a line can be written as:

$y - y_1 = m(x - x_1)$

The point intercept form of line can be written as:

$y = mx + c$

The line is parallel to AB and contains point C(4, 2). Since line p is parallel to AB, line p will have the same slope as line AB

Putting values, we get,

$y - 2 = 3(x-4)\\y = 3x-12+2\\y = 3x-10$

which is the required slope intercept equation of line p.

4 0

3 years ago

Toben bought 512 pounds of chicken, which cost $3.50 per pound.

Ludmilka [50]

Hello!

1 pound = $3.50

To find the cost of 512 pounds, we must multiply the cost per pound by the total amount of pounds:

3.50 * 512 = 1,792

ANSWER: The total cost of the chicken was $1,792.

4 0

2 years ago

Read 2 more answers

There are 3 red chips and 2 blue chips. If they form a certain color pattern when arranged in a row, for example RBRRB, how many

svp [43]

Answer:

Option A - 10

Step-by-step explanation:

Given : There are 3 red chips and 2 blue chips. If they form a certain color pattern when arranged in a row, for example RBRRB.

To find : How many color patterns are possible?

Solution :

Total number of chips = 5

So, 5 chips can be arranged in 5! ways.

There are 3 red chips and 2 blue chips.

So, choosing 3 red chips in 3! ways

and choosing 2 blue chips in 2! ways.

As changing the places of similar chip will not create new pattern.

The total pattern is given by,

$T=\frac{5!}{3!\times 2!}$

$T=\frac{5\times 4\times 3!}{3!\times 2}$

$T=10$

Therefore, color patterns are possible are 10.

Option A is correct.

4 0

3 years ago

Is the function increasing or decreasing over the interval [-3, -1)? Explain.

olga nikolaevna [1]

Answer:I actually don’t know

Step-by-step explanation:

4 0

3 years ago

Log_{7 }(5 - 3x) Find the derivative

V125BC [204]

Let y be the expression you want to differentiate:

$y=\log_7(5-3x) \implies 7^y=5-3x$

Now,

$7^y=e^{\ln(7^y)}=e^{y\ln(7)}$

Use the chain rule to differentiate both sides with respect to x :

$\ln(7)e^{y\ln(7)}\dfrac{\mathrm dy}{\mathrm dx}=-3$

Solve for dy/dx :

$\ln(7)7^y\dfrac{\mathrm dy}{\mathrm dx}=-3$

$\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac3{\ln(7)7^y}$

$\dfrac{\mathrm dy}{\mathrm dx}=\boxed{-\dfrac3{\ln(7)(5-3x)}}$

6 0

2 years ago