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3 years ago

(0,1) & (4, -9) slopes

Mathematics

1 answer:

Levart [38]3 years ago

8 0

Answer: -5/2

Step-by-step explanation:

(-9-1)/(4-0) = -10/4 = -5/2

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1) the entrance way to the presidio is a rectangle topped by a half circle arch that is 3.2m wide. If the ratio of the area of t

alexandr402 [8]

The answer to the height of the thing is 4.2

6 0

3 years ago

Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction is proportional to the product o

Keith_Richards [23]

Answer:

32.1 g

Step-by-step explanation:

In each 3 grams of C, there are 2 grams of A and 1 gram of B. So, for some amount C, the amount remaining of A is 40 -(2C/3), and the amount remaining of B is (50 -C/3). Since the reaction rate is proportional to the product of these amounts, we have ...

C' = k(40 -2C/3)(50 -C/3) = (2k/9)(60 -C)(150 -C) . . . for some constant k

This is separable differential equation with a solution of the form ...

ln((150 -C)/(60 -C)) = at + b

We know that C(0) = 0, so b=ln(150/60) = ln(2.5). And we know that C(10) = 20, so ln(130/40) = 10a +ln(2.5) ⇒ a = ln(1.3)/10

Then our equation for C is ...

ln((150 -C)/(60 -C)) = t·ln(1.3)/10 +ln(2.5)

For t=20, this is ...

ln((150 -C)/(60 -C)) = 2ln(1.3) +ln(2.5) = ln(2.5·1.3²) = ln(4.225)

Taking antilogs, we have ...

(150 -C)/(60 -C) = 4.225

1 +90/(60 -C) = 4.225

C = 60 -90/3.225 ≈ 32.093 . . . . . grams of product in 20 minutes

In 20 minutes, about 32.1 grams of C are formed.

7 0

3 years ago

Four more than the quotient of a number and 3 is 2

Arturiano [62]

Answer:4+x/3=2

Step-by-step explanation:

4 more=4+

the quotient of a number and 3= x/3

the anwser = =2

6 0

3 years ago

Verify the following trig identities.

bagirrra123 [75]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

• 1 + cot² x = csc²x and csc x = $\frac{1}{sinx}$

• sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Consider the left side

sin²Θ( 1 + cot²Θ )

= sin²Θ × csc²Θ

= sin²Θ × 1 / sin²Θ = 1 = right side ⇔ verified

-----------------------------------------------------------------

Consider the left side

cos²Θ - sin²Θ

= cos²Θ - (1 - cos²Θ)

= cos²Θ - 1 + cos²Θ

= 2cos²Θ - 1 = right side ⇒ verified

3 0

3 years ago

PLEASE HELP!

Rasek [7]

Answer:

The percent markup is, $\simeq$ 60.89 % .

Step-by-step explanation:

A pair of shoes cost $ 22.99 to make, the local store sells them for $ 36.99.

So, the increased value for each pair of shoes,

= $ (36.99 - 22.99)

=$ 14

So, the percent markup is,

$\frac {14 \times 100}{22.99}$ %

$\simeq$ 60.89 %

7 0

3 years ago