4) 65% of 11 is what?

Jason considered two similar televisions at a local electronics store. The generic version was based off the brand name and was

eduard

W -width of the brand name TV, L - length of the brand name TV;
3/8 W = 12
W = 12 : 3/8 = 12 · 8/3 = 32 in
3/8 L = 24
L = 24 : 3/8 = 12 · 8/3 = 64 in
Answer: A ) 32 inches by 64 inches.

5 0

3 years ago

Read 2 more answers

A hot air balloon is currently at a height of 900 feet. The balloon is descending by 10 feet minute. Find a function for the bal

mylen [45]

Answer:

$y=-10x+900$

Step-by-step explanation:

Let

x -----> the number of minutes

y ----> the balloon's height in feet

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have that

The slope is equal to

$m=-10\ \frac{ft}{min}$ ----> is negative because is a decreasing function

$b=900\ ft$

Remember that the y-intercept is the value of y when the value of x is equal to zero

In this context the y-intercept is the height of the balloon when the time is equal to zero (initial height)

substitute

$y=-10x+900$

8 0

3 years ago

How to differentiate ?

Bas_tet [7]

Use the power, product, and chain rules:

$y = x^2 (3x-1)^3$

• product rule

$\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm d(x^2)}{\mathrm dx}\times(3x-1)^3 + x^2\times\dfrac{\mathrm d(3x-1)^3}{\mathrm dx}$

• power rule for the first term, and power/chain rules for the second term:

$\dfrac{\mathrm dy}{\mathrm dx} = 2x\times(3x-1)^3 + x^2\times3(x-1)^2\times\dfrac{\mathrm d(3x-1)}{\mathrm dx}$

• power rule

$\dfrac{\mathrm dy}{\mathrm dx} = 2x\times(3x-1)^3 + x^2\times3(3x-1)^2\times3$

Now simplify.

$\dfrac{\mathrm dy}{\mathrm dx} = 2x(3x-1)^3 + 9x^2(3x-1)^2 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = x(3x-1)^2 \times (2(3x-1) + 9x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = x(3x-1)^2(15x-2)}$

You could also use logarithmic differentiation, which involves taking logarithms of both sides and differentiating with the chain rule.

On the right side, the logarithm of a product can be expanded as a sum of logarithms. Then use other properties of logarithms to simplify

$\ln(y) = \ln\left(x^2(3x-1)^3\right) \\\\ \ln(y) = \ln\left(x^2\right) + \ln\left((3x-1)^3\right) \\\\ \ln(y) = 2\ln(x) + 3\ln(3x-1)$

Differentiate both sides and you end up with the same derivative:

$\dfrac1y\dfrac{\mathrm dy}{\mathrm dx} = \dfrac2x + \dfrac9{3x-1} \\\\ \dfrac1y\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{15x-2}{x(3x-1)} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \dfrac{15x-2}{x(3x-1)} \times x^2(3x-1)^3 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = x(15x-2)(3x-1)^2$

7 0

2 years ago

Write this expression using numbers and symbols two less then six times a number

erma4kov [3.2K]

Answer:

d

Step-by-step explanation:

becaus ei did

8 0

2 years ago

Jonathan records how 90 pupils travelled to school on one day and represents this information on the pie chart below.

xeze [42]

Answer:

86.4

Step-by-step explanation:

First adding up all the percentages on the chart you get 360

Then figuring out what 24° of 360 is

You then get 86.4

4 0

2 years ago