Which of the following best represents "seven less than a twice a number

A grain of sand with a diameter of

melisa1 [442]

Answer:

B) 0.0000000000003

Step-by-step explanation:

Hope this helps.

4 0

3 years ago

Peter lives in San Mateo. He bought an item for $528.9 and when the clerk calculated the sales tax it came out to exactly $55.67

velikii [3]

560.00

It will be 560.00 because when you round up the 6 it it will be 560.00

8 0

3 years ago

Read 2 more answers

51.8 + (-0.8) i dont like how you suposse to have20 letters

Marizza181 [45]

Answer:

51

Step-by-step explanation:

51.8-0.8=51

8 0

3 years ago

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Calc help pretty please

Gre4nikov [31]

Answer:

A. 77.4

Step-by-step explanation:

Linear approximation formula

$L(x)=f(a)+f'(a)(x-a)$

Given function:

$f(x)=(x+1)^2$

$\boxed{\begin{minipage}{5.4 cm}\underline{Chain Rule for Differentiation}\\\\If $y=f(u)$ and $u=g(x)$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=\dfrac{\text{d}y}{\text{d}u}\times \dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}$

$\boxed{\begin{minipage}{5 cm}\underline{Differentiating $x^n$}\\\\If $y=x^n$, then $\dfrac{\text{d}y}{\text{d}x}=xn^{n-1}$\\\end{minipage}}$

$\boxed{\begin{minipage}{4 cm}\underline{Differentiating $ax$}\\\\If $y=ax$, then $\dfrac{\text{d}y}{\text{d}x}=a$\\\end{minipage}}$

Use the chain rule to differentiate the function.

$\textsf{Let }\:y=u^2\:\textsf{ where }u=(x+1)$

Differentiate the two parts separately:

$y=u^2 \implies \dfrac{\text{d}y}{\text{d}u}=2u$

$u=x+1 \implies \dfrac{\text{d}u}{\text{d}x}=1$

Put everything back into the chain rule formula:

$\begin{aligned} \implies \dfrac{\text{d}y}{\text{d}x} & =2u \times 1\\ & = 2u \\ & = 2(x+1)\\ & = 2x+2 \end{aligned}$

$\textsf{Therefore, }\:f'(x)=2x+2.$ .

The linear approximation at a = 8 is:

$\begin{aligned}L(x) & =f(a)+f'(a)(x-a)\\\\\implies L(x) & = f(8)+f'(8)(x-8)\\& = (8+1)^2+(2(8)+2)(x-8)\\& = 81+18(x-8)\\& = 18x-63\end{aligned}$

Finally, substitute x = 7.8 into the linear approximation equation:

$\begin{aligned}\implies L(7.8) & =18(7.8)-63\\& = 140.4-63\\& = 77.4\end{aligned}$

4 0

2 years ago

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En el año 2017 una fábrica obtuvo 200.000 unidades de producto utilizando 25.000 horas de mano de obra. Partiendo de la producti

Butoxors [25]

Answer:

211,200 unidades de productos que debes obtener en el año 2018 si quieres incrementar la productividad de la fuerza laboral en un 10% utilizando 24,000 horas laborales.

Step-by-step explanation:

Datos de 2017

Unidades = 200.000

Horas laborales = 25,000

Unidades por hora laboral = 200.000 / 25.000 = 8

2018

Horas de mano de obra = 24.000

Unidades por hora laboral = 8

Unidades totales = 24,000 * 8 = 192,000

Queremos aumentar la productividad en un 10%

10% de 8 = 0,8 Se deben producir 0,8 adicionales cada hora para obtener un 10% más de productividad.

El nuevo número de unidades producidas después de una mayor productividad será

8+ 0.8 = 8.8 unidades por hora

Unidades totales = 24,000 * 8.8 = 211,200 unidades serán producidas.

211,200 unidades de productos que debes obtener en el año 2018 si quieres incrementar la productividad de la fuerza laboral en un 10% utilizando 24,000 horas laborales.

2017 data

Units = 200,000

Labor Hours = 25,000

Units per labor hour = 200,000/25,000= 8

2018

Labor Hours = 24,000

Units per labor hour = 8

Total Units = 24,000*8 =192,000

We want to increase the productivity by 10 % so

10 % of 8 = 0.8 An additional 0.8 must be produced each hour to get 10 % more productivity.

The new number of units produced after increased productivity will be

8+ 0.8 = 8.8 units per hour

Total units = 24,000* 8.8= 211,200 units will be produced.

211,200 units of products you must obtain in the year 2018 if you want to increase the productivity of the labor force by 10% using 24,000 labor hours.

5 0

3 years ago