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3 years ago

Which of the following equations has a greater rate of change than what is shown in the graph?

Mathematics

1 answer:

Anastaziya [24]3 years ago

6 0

Answer:

Step-by-step explanation:

change of a = 65

b = 85

c = 50

==> (B) is correct one.

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Differentiation Find the formula to find the gradient

Alla [95]

Answer:

x + 4/3x^3

Step-by-step explanation:

y=1/2x^2-2/3x^-2

dy/dx=1/2(2x)-2/3(-2x^-3)

=x+4/3 x^-3

=x+4/3x^3

6 0

2 years ago

Read 2 more answers

Mr. Roseanne will buy 12 1/2 pounds beef for for a cookout. The price for the first 3 pounds of beef is $4.99 per pound. After t

Yuri [45]

Answer:

As per the statement:

Mr. Roseanne will buy $12\frac{1}{2}$ pounds beef for for a cookout.

⇒ Weight of the beef he buy = $\frac{25}{2}$ pounds.

It is given that:

The price for the first 3 pounds of beef is $4.99 per pound.

then;

the price for 3 pounds he will pay= $3 \times 4.99 =\$ 14.97$

After that, the price is $4.49 per pound.

Remaining weight of beef left = $\frac{25}{2} -3 = \frac{19}{2}$ pounds.

then;

the price of $\frac{19}{2}$ pounds he will pay = $\frac{19}{2} \times 4.49= \$42.655$

now, total money he will pay for the $12\frac{1}{2}$ pounds beef = $14.97+42.655 = \$57.625$

Therefore, $57.625 will Mr. Roseanne pay for the beef

4 0

3 years ago

The angle θ 1 is located in Quadrant IV, and cos ⁡ ( θ 1 ) = 9/ 19 , theta, start subscript, 1, end subscript, right parenthesis

Firdavs [7]

Answer:

$sin\theta_1 = - \frac{2\sqrt{70}}{19}$

Step-by-step explanation:

We are given that $\theta_1$ is in fourth quadrant.

$cos\theta_1$ is always positive in 4th quadrant and

$sin\theta_1$ is always negative in 4th quadrant.

Also, we know the following identity about $sin\theta$ and $cos\theta$ :

$sin^2\theta + cos^2\theta = 1$

Using \theta_1 in place of \theta:

$sin^2\theta_1 + cos^2\theta_1 = 1$

We are given that $cos\theta_1 = \frac{9}{19}$

$\Rightarrow sin^2\theta_1 + \dfrac{9^2}{19^2} = 1\\\Rightarrow sin^2\theta_1 = 1 - \dfrac{81}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{361-81}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{280}{361}\\\Rightarrow sin\theta_1 = \sqrt{\dfrac{280}{361}}\\\Rightarrow sin\theta_1 = +\dfrac{2\sqrt{70}}{19}, -\dfrac{2\sqrt{70}}{19}$

$\theta_1$ is in 4th quadrant so $sin\theta_1$ is negative.

So, value of $sin\theta_1 = - \frac{2\sqrt{70}}{19}$

6 0

3 years ago

Ignore the erase marks but i have no clue how to do this. please help asap

madam [21]

Since they're vertical angles, they're equal in degree measure

since they're equal, we can make the two expressions equal to each other

5a - 1 = 2a + 20
add 1 to both sides

5a = 2a + 21
subtract 2a from both sides

3a = 21
divide both sides by 3a

a = 7

now, plug the answer you found for a into one of the two expressions

5a - 1 becomes (5*7) - 1, which equals 34

to double check that they're equivalent (since they're vertical angles)

2a + 20 becomes (2*7) + 20, which equals 34

both angles are 34 degrees!

7 0

3 years ago

In 2010 the estimated population was 2.7 times 10 to the 6 people. That population of Illinois that same year was about 4.76 tim

Keith_Richards [23]

that would be just multipacation

8 0

3 years ago