9. Which graph represents the solutions of

Avery goes out to lunch. The bill, before tax and tip, was $9.80. A sales tax of 6% was added on. Avery tipped 19% on the amount

love history [14]

Answer:

12.36

Step-by-step explanation:

price x sales tax rate =sales tax

9.80 x .06=sales tax

.59=sales tax

price + sales tax=price with sales tax included

9.80+.59=10.39

price with sales tax x tip percentage=tip amount

10.39 x .19=1.97

price with sales tax + tip = total amount

10.39+1.97=12.36

5 0

3 years ago

Which evidence from the text best supports the idea that women astronauts are not unusual anymore?

Ivenika [448]

Answer:

sally ride I guess

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Help please)))))))))))))))))))

timurjin [86]

The giraffe (using the ruler) is 11 cm.

1 cm : 50 cm

Multiply both sides by 11.

11 cm : 550 cm

There are 0.01 meters in 1 centimeter.

Multiply 550 cm by 0.01.

(550)(0.01) = 5.5

The giraffe's real length is 5.5 meters.

5 0

3 years ago

How do i solve that question?

yawa3891 [41]

a) The solution of this ordinary differential equation is $y =\sqrt[3]{-\frac{2}{\frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32}-2 } }$ .

b) The integrating factor for the ordinary differential equation is $-\frac{1}{x}$ .

The particular solution of the ordinary differential equation is $y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}$ .

<h3>How to solve ordinary differential equations</h3>

a) In this case we need to separate each variable ( $y, t$ ) in each side of the identity:

$6\cdot \frac{dy}{dt} = y^{4}\cdot \sin^{4} t$ (1)

$6\int {\frac{dy}{y^{4}} } = \int {\sin^{4}t} \, dt + C$

Where $C$ is the integration constant.

By table of integrals we find the solution for each integral:

$-\frac{2}{y^{3}} = \frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32} + C$

If we know that $x = 0$ and $y = 1$ , then the integration constant is $C = -2$ .

The solution of this ordinary differential equation is $y =\sqrt[3]{-\frac{2}{\frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32}-2 } }$ . $\blacksquare$

b) In this case we need to solve a first order ordinary differential equation of the following form:

$\frac{dy}{dx} + p(x) \cdot y = q(x)$ (2)

Where:

$p(x)$ - Integrating factor
$q(x)$ - Particular function

Hence, the ordinary differential equation is equivalent to this form:

$\frac{dy}{dx} -\frac{1}{x}\cdot y = x^{2}+\frac{1}{x}$ (3)

The integrating factor for the ordinary differential equation is $-\frac{1}{x}$ . $\blacksquare$

The solution for (2) is presented below:

$y = e^{-\int {p(x)} \, dx }\cdot \int {e^{\int {p(x)} \, dx }}\cdot q(x) \, dx + C$ (4)

Where $C$ is the integration constant.

If we know that $p(x) = -\frac{1}{x}$ and $q(x) = x^{2} + \frac{1}{x}$ , then the solution of the ordinary differential equation is:

$y = x \int {x^{-1}\cdot \left(x^{2}+\frac{1}{x} \right)} \, dx + C$

$y = x\int {x} \, dx + x\int\, dx + C$

$y = \frac{x^{3}}{2}+x^{2}+C$

If we know that $x = 1$ and $y = -1$ , then the particular solution is:

$y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}$

The particular solution of the ordinary differential equation is $y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}$ . $\blacksquare$

To learn more on ordinary differential equations, we kindly invite to check this verified question: brainly.com/question/25731911

3 0

3 years ago

19. Kara's backpacki contains 4 boxes of pencils. Each box containsp pencils. Kara's backpack also contains 6 pens. Write three

vitfil [10]

Here are 3 equivalent expressions that would represent the total number of pencils and pens in Karen's backpack.

1. 4p + 6

2. p+ p + p + p + 6

3. 6 + 4(p)

Each of these has four groups of p +6 represented.

5 0

3 years ago